TSTP Solution File: GRP488-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP488-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n005.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 07:37:16 EDT 2022
% Result : Unsatisfiable 0.78s 1.14s
% Output : Refutation 0.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP488-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Mon Jun 13 08:33:09 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.78/1.14 *** allocated 10000 integers for termspace/termends
% 0.78/1.14 *** allocated 10000 integers for clauses
% 0.78/1.14 *** allocated 10000 integers for justifications
% 0.78/1.14 Bliksem 1.12
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 Automatic Strategy Selection
% 0.78/1.14
% 0.78/1.14 Clauses:
% 0.78/1.14 [
% 0.78/1.14 [ =( 'double_divide'( X, 'double_divide'( 'double_divide'(
% 0.78/1.14 'double_divide'( identity, 'double_divide'( 'double_divide'( X, identity
% 0.78/1.14 ), 'double_divide'( Y, Z ) ) ), Y ), identity ) ), Z ) ],
% 0.78/1.14 [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X ),
% 0.78/1.14 identity ) ) ],
% 0.78/1.14 [ =( inverse( X ), 'double_divide'( X, identity ) ) ],
% 0.78/1.14 [ =( identity, 'double_divide'( X, inverse( X ) ) ) ],
% 0.78/1.14 [ ~( =( multiply( identity, a2 ), a2 ) ) ]
% 0.78/1.14 ] .
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 percentage equality = 1.000000, percentage horn = 1.000000
% 0.78/1.14 This is a pure equality problem
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 Options Used:
% 0.78/1.14
% 0.78/1.14 useres = 1
% 0.78/1.14 useparamod = 1
% 0.78/1.14 useeqrefl = 1
% 0.78/1.14 useeqfact = 1
% 0.78/1.14 usefactor = 1
% 0.78/1.14 usesimpsplitting = 0
% 0.78/1.14 usesimpdemod = 5
% 0.78/1.14 usesimpres = 3
% 0.78/1.14
% 0.78/1.14 resimpinuse = 1000
% 0.78/1.14 resimpclauses = 20000
% 0.78/1.14 substype = eqrewr
% 0.78/1.14 backwardsubs = 1
% 0.78/1.14 selectoldest = 5
% 0.78/1.14
% 0.78/1.14 litorderings [0] = split
% 0.78/1.14 litorderings [1] = extend the termordering, first sorting on arguments
% 0.78/1.14
% 0.78/1.14 termordering = kbo
% 0.78/1.14
% 0.78/1.14 litapriori = 0
% 0.78/1.14 termapriori = 1
% 0.78/1.14 litaposteriori = 0
% 0.78/1.14 termaposteriori = 0
% 0.78/1.14 demodaposteriori = 0
% 0.78/1.14 ordereqreflfact = 0
% 0.78/1.14
% 0.78/1.14 litselect = negord
% 0.78/1.14
% 0.78/1.14 maxweight = 15
% 0.78/1.14 maxdepth = 30000
% 0.78/1.14 maxlength = 115
% 0.78/1.14 maxnrvars = 195
% 0.78/1.14 excuselevel = 1
% 0.78/1.14 increasemaxweight = 1
% 0.78/1.14
% 0.78/1.14 maxselected = 10000000
% 0.78/1.14 maxnrclauses = 10000000
% 0.78/1.14
% 0.78/1.14 showgenerated = 0
% 0.78/1.14 showkept = 0
% 0.78/1.14 showselected = 0
% 0.78/1.14 showdeleted = 0
% 0.78/1.14 showresimp = 1
% 0.78/1.14 showstatus = 2000
% 0.78/1.14
% 0.78/1.14 prologoutput = 1
% 0.78/1.14 nrgoals = 5000000
% 0.78/1.14 totalproof = 1
% 0.78/1.14
% 0.78/1.14 Symbols occurring in the translation:
% 0.78/1.14
% 0.78/1.14 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.78/1.14 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.78/1.14 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.78/1.14 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.78/1.14 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.78/1.14 identity [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.78/1.14 'double_divide' [41, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.78/1.14 multiply [44, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.78/1.14 inverse [45, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.78/1.14 a2 [46, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 Starting Search:
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 Bliksems!, er is een bewijs:
% 0.78/1.14 % SZS status Unsatisfiable
% 0.78/1.14 % SZS output start Refutation
% 0.78/1.14
% 0.78/1.14 clause( 0, [ =( 'double_divide'( X, 'double_divide'( 'double_divide'(
% 0.78/1.14 'double_divide'( identity, 'double_divide'( 'double_divide'( X, identity
% 0.78/1.14 ), 'double_divide'( Y, Z ) ) ), Y ), identity ) ), Z ) ] )
% 0.78/1.14 .
% 0.78/1.14 clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.78/1.14 multiply( X, Y ) ) ] )
% 0.78/1.14 .
% 0.78/1.14 clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.78/1.14 .
% 0.78/1.14 clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.78/1.14 .
% 0.78/1.14 clause( 4, [ ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.78/1.14 .
% 0.78/1.14 clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.78/1.14 .
% 0.78/1.14 clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.78/1.14 .
% 0.78/1.14 clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.78/1.14 .
% 0.78/1.14 clause( 9, [ =( 'double_divide'( X, multiply( Y, 'double_divide'( identity
% 0.78/1.14 , 'double_divide'( inverse( X ), 'double_divide'( Y, Z ) ) ) ) ), Z ) ]
% 0.78/1.14 )
% 0.78/1.14 .
% 0.78/1.14 clause( 10, [ =( multiply( multiply( Y, X ), 'double_divide'( X, Y ) ),
% 0.78/1.14 inverse( identity ) ) ] )
% 0.78/1.14 .
% 0.78/1.14 clause( 11, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.78/1.14 .
% 0.78/1.14 clause( 13, [ =( 'double_divide'( X, inverse( multiply( 'double_divide'(
% 0.78/1.14 inverse( X ), 'double_divide'( identity, Y ) ), identity ) ) ), Y ) ] )
% 0.78/1.14 .
% 0.78/1.14 clause( 15, [ =( 'double_divide'( Y, multiply( X, 'double_divide'( identity
% 0.78/1.14 , inverse( inverse( Y ) ) ) ) ), inverse( X ) ) ] )
% 0.78/1.14 .
% 0.78/1.14 clause( 18, [ =( inverse( multiply( inverse( inverse( X ) ), identity ) ),
% 0.78/1.14 'double_divide'( X, inverse( identity ) ) ) ] )
% 0.78/1.14 .
% 0.78/1.14 clause( 20, [ =( 'double_divide'( X, 'double_divide'( X, inverse( identity
% 0.78/1.14 ) ) ), inverse( identity ) ) ] )
% 0.78/1.14 .
% 0.78/1.14 clause( 24, [ =( 'double_divide'( X, multiply( inverse( X ), identity ) ),
% 0.78/1.14 inverse( identity ) ) ] )
% 0.78/1.14 .
% 0.78/1.14 clause( 29, [ =( inverse( identity ), identity ) ] )
% 0.78/1.14 .
% 0.78/1.14 clause( 30, [ =( multiply( multiply( inverse( X ), identity ), X ),
% 0.78/1.14 identity ) ] )
% 0.78/1.14 .
% 0.78/1.14 clause( 32, [ =( 'double_divide'( identity, multiply( X, identity ) ),
% 0.78/1.14 inverse( X ) ) ] )
% 0.78/1.14 .
% 0.78/1.14 clause( 37, [ =( multiply( multiply( X, identity ), identity ), inverse(
% 0.78/1.14 inverse( X ) ) ) ] )
% 0.78/1.14 .
% 0.78/1.14 clause( 38, [ =( inverse( inverse( inverse( inverse( inverse( X ) ) ) ) ),
% 0.78/1.14 inverse( X ) ) ] )
% 0.78/1.14 .
% 0.78/1.14 clause( 41, [ =( 'double_divide'( identity, inverse( inverse( X ) ) ),
% 0.78/1.14 inverse( multiply( X, identity ) ) ) ] )
% 0.78/1.14 .
% 0.78/1.14 clause( 52, [ =( 'double_divide'( identity, inverse( X ) ), inverse(
% 0.78/1.14 inverse( X ) ) ) ] )
% 0.78/1.14 .
% 0.78/1.14 clause( 53, [ =( inverse( multiply( X, identity ) ), inverse( inverse(
% 0.78/1.14 inverse( X ) ) ) ) ] )
% 0.78/1.14 .
% 0.78/1.14 clause( 55, [ =( multiply( X, identity ), X ) ] )
% 0.78/1.14 .
% 0.78/1.14 clause( 61, [ =( inverse( inverse( X ) ), X ) ] )
% 0.78/1.14 .
% 0.78/1.14 clause( 66, [] )
% 0.78/1.14 .
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 % SZS output end Refutation
% 0.78/1.14 found a proof!
% 0.78/1.14
% 0.78/1.14 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.78/1.14
% 0.78/1.14 initialclauses(
% 0.78/1.14 [ clause( 68, [ =( 'double_divide'( X, 'double_divide'( 'double_divide'(
% 0.78/1.14 'double_divide'( identity, 'double_divide'( 'double_divide'( X, identity
% 0.78/1.14 ), 'double_divide'( Y, Z ) ) ), Y ), identity ) ), Z ) ] )
% 0.78/1.14 , clause( 69, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X
% 0.78/1.14 ), identity ) ) ] )
% 0.78/1.14 , clause( 70, [ =( inverse( X ), 'double_divide'( X, identity ) ) ] )
% 0.78/1.14 , clause( 71, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.78/1.14 , clause( 72, [ ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.78/1.14 ] ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 subsumption(
% 0.78/1.14 clause( 0, [ =( 'double_divide'( X, 'double_divide'( 'double_divide'(
% 0.78/1.14 'double_divide'( identity, 'double_divide'( 'double_divide'( X, identity
% 0.78/1.14 ), 'double_divide'( Y, Z ) ) ), Y ), identity ) ), Z ) ] )
% 0.78/1.14 , clause( 68, [ =( 'double_divide'( X, 'double_divide'( 'double_divide'(
% 0.78/1.14 'double_divide'( identity, 'double_divide'( 'double_divide'( X, identity
% 0.78/1.14 ), 'double_divide'( Y, Z ) ) ), Y ), identity ) ), Z ) ] )
% 0.78/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.78/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 75, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.78/1.14 multiply( X, Y ) ) ] )
% 0.78/1.14 , clause( 69, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X
% 0.78/1.14 ), identity ) ) ] )
% 0.78/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 subsumption(
% 0.78/1.14 clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.78/1.14 multiply( X, Y ) ) ] )
% 0.78/1.14 , clause( 75, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.78/1.14 multiply( X, Y ) ) ] )
% 0.78/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.14 )] ) ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 78, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.78/1.14 , clause( 70, [ =( inverse( X ), 'double_divide'( X, identity ) ) ] )
% 0.78/1.14 , 0, substitution( 0, [ :=( X, X )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 subsumption(
% 0.78/1.14 clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.78/1.14 , clause( 78, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.78/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 82, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.78/1.14 , clause( 71, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.78/1.14 , 0, substitution( 0, [ :=( X, X )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 subsumption(
% 0.78/1.14 clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.78/1.14 , clause( 82, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.78/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 subsumption(
% 0.78/1.14 clause( 4, [ ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.78/1.14 , clause( 72, [ ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.78/1.14 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 90, [ =( inverse( 'double_divide'( X, Y ) ), multiply( Y, X ) ) ]
% 0.78/1.14 )
% 0.78/1.14 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.78/1.14 , 0, clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.78/1.14 multiply( X, Y ) ) ] )
% 0.78/1.14 , 0, 1, substitution( 0, [ :=( X, 'double_divide'( X, Y ) )] ),
% 0.78/1.14 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 subsumption(
% 0.78/1.14 clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.78/1.14 , clause( 90, [ =( inverse( 'double_divide'( X, Y ) ), multiply( Y, X ) ) ]
% 0.78/1.14 )
% 0.78/1.14 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.14 )] ) ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 93, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.78/1.14 )
% 0.78/1.14 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.78/1.14 )
% 0.78/1.14 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 96, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.78/1.14 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.78/1.14 , 0, clause( 93, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.78/1.14 ) ] )
% 0.78/1.14 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.78/1.14 :=( Y, inverse( X ) )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 subsumption(
% 0.78/1.14 clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.78/1.14 , clause( 96, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.78/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 99, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.78/1.14 )
% 0.78/1.14 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.78/1.14 )
% 0.78/1.14 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 102, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.78/1.14 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.78/1.14 , 0, clause( 99, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.78/1.14 ) ] )
% 0.78/1.14 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.78/1.14 :=( Y, identity )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 subsumption(
% 0.78/1.14 clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.78/1.14 , clause( 102, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.78/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 108, [ =( 'double_divide'( X, inverse( 'double_divide'(
% 0.78/1.14 'double_divide'( identity, 'double_divide'( 'double_divide'( X, identity
% 0.78/1.14 ), 'double_divide'( Y, Z ) ) ), Y ) ) ), Z ) ] )
% 0.78/1.14 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.78/1.14 , 0, clause( 0, [ =( 'double_divide'( X, 'double_divide'( 'double_divide'(
% 0.78/1.14 'double_divide'( identity, 'double_divide'( 'double_divide'( X, identity
% 0.78/1.14 ), 'double_divide'( Y, Z ) ) ), Y ), identity ) ), Z ) ] )
% 0.78/1.14 , 0, 3, substitution( 0, [ :=( X, 'double_divide'( 'double_divide'(
% 0.78/1.14 identity, 'double_divide'( 'double_divide'( X, identity ),
% 0.78/1.14 'double_divide'( Y, Z ) ) ), Y ) )] ), substitution( 1, [ :=( X, X ),
% 0.78/1.14 :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 112, [ =( 'double_divide'( X, multiply( Y, 'double_divide'(
% 0.78/1.14 identity, 'double_divide'( 'double_divide'( X, identity ),
% 0.78/1.14 'double_divide'( Y, Z ) ) ) ) ), Z ) ] )
% 0.78/1.14 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.78/1.14 )
% 0.78/1.14 , 0, clause( 108, [ =( 'double_divide'( X, inverse( 'double_divide'(
% 0.78/1.14 'double_divide'( identity, 'double_divide'( 'double_divide'( X, identity
% 0.78/1.14 ), 'double_divide'( Y, Z ) ) ), Y ) ) ), Z ) ] )
% 0.78/1.14 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, 'double_divide'( identity,
% 0.78/1.14 'double_divide'( 'double_divide'( X, identity ), 'double_divide'( Y, Z )
% 0.78/1.14 ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 113, [ =( 'double_divide'( X, multiply( Y, 'double_divide'(
% 0.78/1.14 identity, 'double_divide'( inverse( X ), 'double_divide'( Y, Z ) ) ) ) )
% 0.78/1.14 , Z ) ] )
% 0.78/1.14 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.78/1.14 , 0, clause( 112, [ =( 'double_divide'( X, multiply( Y, 'double_divide'(
% 0.78/1.14 identity, 'double_divide'( 'double_divide'( X, identity ),
% 0.78/1.14 'double_divide'( Y, Z ) ) ) ) ), Z ) ] )
% 0.78/1.14 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.78/1.14 :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 subsumption(
% 0.78/1.14 clause( 9, [ =( 'double_divide'( X, multiply( Y, 'double_divide'( identity
% 0.78/1.14 , 'double_divide'( inverse( X ), 'double_divide'( Y, Z ) ) ) ) ), Z ) ]
% 0.78/1.14 )
% 0.78/1.14 , clause( 113, [ =( 'double_divide'( X, multiply( Y, 'double_divide'(
% 0.78/1.14 identity, 'double_divide'( inverse( X ), 'double_divide'( Y, Z ) ) ) ) )
% 0.78/1.14 , Z ) ] )
% 0.78/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.78/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 116, [ =( inverse( identity ), multiply( inverse( X ), X ) ) ] )
% 0.78/1.14 , clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.78/1.14 , 0, substitution( 0, [ :=( X, X )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 119, [ =( inverse( identity ), multiply( multiply( Y, X ),
% 0.78/1.14 'double_divide'( X, Y ) ) ) ] )
% 0.78/1.14 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.78/1.14 )
% 0.78/1.14 , 0, clause( 116, [ =( inverse( identity ), multiply( inverse( X ), X ) ) ]
% 0.78/1.14 )
% 0.78/1.14 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.78/1.14 :=( X, 'double_divide'( X, Y ) )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 120, [ =( multiply( multiply( X, Y ), 'double_divide'( Y, X ) ),
% 0.78/1.14 inverse( identity ) ) ] )
% 0.78/1.14 , clause( 119, [ =( inverse( identity ), multiply( multiply( Y, X ),
% 0.78/1.14 'double_divide'( X, Y ) ) ) ] )
% 0.78/1.14 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 subsumption(
% 0.78/1.14 clause( 10, [ =( multiply( multiply( Y, X ), 'double_divide'( X, Y ) ),
% 0.78/1.14 inverse( identity ) ) ] )
% 0.78/1.14 , clause( 120, [ =( multiply( multiply( X, Y ), 'double_divide'( Y, X ) ),
% 0.78/1.14 inverse( identity ) ) ] )
% 0.78/1.14 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.14 )] ) ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 122, [ ~( =( a2, multiply( identity, a2 ) ) ) ] )
% 0.78/1.14 , clause( 4, [ ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.78/1.14 , 0, substitution( 0, [] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 123, [ ~( =( a2, inverse( inverse( a2 ) ) ) ) ] )
% 0.78/1.14 , clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.78/1.14 , 0, clause( 122, [ ~( =( a2, multiply( identity, a2 ) ) ) ] )
% 0.78/1.14 , 0, 3, substitution( 0, [ :=( X, a2 )] ), substitution( 1, [] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 124, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.78/1.14 , clause( 123, [ ~( =( a2, inverse( inverse( a2 ) ) ) ) ] )
% 0.78/1.14 , 0, substitution( 0, [] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 subsumption(
% 0.78/1.14 clause( 11, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.78/1.14 , clause( 124, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.78/1.14 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 126, [ =( Z, 'double_divide'( X, multiply( Y, 'double_divide'(
% 0.78/1.14 identity, 'double_divide'( inverse( X ), 'double_divide'( Y, Z ) ) ) ) )
% 0.78/1.14 ) ] )
% 0.78/1.14 , clause( 9, [ =( 'double_divide'( X, multiply( Y, 'double_divide'(
% 0.78/1.14 identity, 'double_divide'( inverse( X ), 'double_divide'( Y, Z ) ) ) ) )
% 0.78/1.14 , Z ) ] )
% 0.78/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 128, [ =( X, 'double_divide'( Y, inverse( inverse( 'double_divide'(
% 0.78/1.14 identity, 'double_divide'( inverse( Y ), 'double_divide'( identity, X ) )
% 0.78/1.14 ) ) ) ) ) ] )
% 0.78/1.14 , clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.78/1.14 , 0, clause( 126, [ =( Z, 'double_divide'( X, multiply( Y, 'double_divide'(
% 0.78/1.14 identity, 'double_divide'( inverse( X ), 'double_divide'( Y, Z ) ) ) ) )
% 0.78/1.14 ) ] )
% 0.78/1.14 , 0, 4, substitution( 0, [ :=( X, 'double_divide'( identity,
% 0.78/1.14 'double_divide'( inverse( Y ), 'double_divide'( identity, X ) ) ) )] ),
% 0.78/1.14 substitution( 1, [ :=( X, Y ), :=( Y, identity ), :=( Z, X )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 129, [ =( X, 'double_divide'( Y, inverse( multiply( 'double_divide'(
% 0.78/1.14 inverse( Y ), 'double_divide'( identity, X ) ), identity ) ) ) ) ] )
% 0.78/1.14 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.78/1.14 )
% 0.78/1.14 , 0, clause( 128, [ =( X, 'double_divide'( Y, inverse( inverse(
% 0.78/1.14 'double_divide'( identity, 'double_divide'( inverse( Y ), 'double_divide'(
% 0.78/1.14 identity, X ) ) ) ) ) ) ) ] )
% 0.78/1.14 , 0, 5, substitution( 0, [ :=( X, 'double_divide'( inverse( Y ),
% 0.78/1.14 'double_divide'( identity, X ) ) ), :=( Y, identity )] ), substitution( 1
% 0.78/1.14 , [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 130, [ =( 'double_divide'( Y, inverse( multiply( 'double_divide'(
% 0.78/1.14 inverse( Y ), 'double_divide'( identity, X ) ), identity ) ) ), X ) ] )
% 0.78/1.14 , clause( 129, [ =( X, 'double_divide'( Y, inverse( multiply(
% 0.78/1.14 'double_divide'( inverse( Y ), 'double_divide'( identity, X ) ), identity
% 0.78/1.14 ) ) ) ) ] )
% 0.78/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 subsumption(
% 0.78/1.14 clause( 13, [ =( 'double_divide'( X, inverse( multiply( 'double_divide'(
% 0.78/1.14 inverse( X ), 'double_divide'( identity, Y ) ), identity ) ) ), Y ) ] )
% 0.78/1.14 , clause( 130, [ =( 'double_divide'( Y, inverse( multiply( 'double_divide'(
% 0.78/1.14 inverse( Y ), 'double_divide'( identity, X ) ), identity ) ) ), X ) ] )
% 0.78/1.14 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.14 )] ) ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 132, [ =( Z, 'double_divide'( X, multiply( Y, 'double_divide'(
% 0.78/1.14 identity, 'double_divide'( inverse( X ), 'double_divide'( Y, Z ) ) ) ) )
% 0.78/1.14 ) ] )
% 0.78/1.14 , clause( 9, [ =( 'double_divide'( X, multiply( Y, 'double_divide'(
% 0.78/1.14 identity, 'double_divide'( inverse( X ), 'double_divide'( Y, Z ) ) ) ) )
% 0.78/1.14 , Z ) ] )
% 0.78/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 134, [ =( inverse( X ), 'double_divide'( Y, multiply( X,
% 0.78/1.14 'double_divide'( identity, 'double_divide'( inverse( Y ), identity ) ) )
% 0.78/1.14 ) ) ] )
% 0.78/1.14 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.78/1.14 , 0, clause( 132, [ =( Z, 'double_divide'( X, multiply( Y, 'double_divide'(
% 0.78/1.14 identity, 'double_divide'( inverse( X ), 'double_divide'( Y, Z ) ) ) ) )
% 0.78/1.14 ) ] )
% 0.78/1.14 , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 0.78/1.14 :=( Y, X ), :=( Z, inverse( X ) )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 135, [ =( inverse( X ), 'double_divide'( Y, multiply( X,
% 0.78/1.14 'double_divide'( identity, inverse( inverse( Y ) ) ) ) ) ) ] )
% 0.78/1.14 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.78/1.14 , 0, clause( 134, [ =( inverse( X ), 'double_divide'( Y, multiply( X,
% 0.78/1.14 'double_divide'( identity, 'double_divide'( inverse( Y ), identity ) ) )
% 0.78/1.14 ) ) ] )
% 0.78/1.14 , 0, 9, substitution( 0, [ :=( X, inverse( Y ) )] ), substitution( 1, [
% 0.78/1.14 :=( X, X ), :=( Y, Y )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 136, [ =( 'double_divide'( Y, multiply( X, 'double_divide'(
% 0.78/1.14 identity, inverse( inverse( Y ) ) ) ) ), inverse( X ) ) ] )
% 0.78/1.14 , clause( 135, [ =( inverse( X ), 'double_divide'( Y, multiply( X,
% 0.78/1.14 'double_divide'( identity, inverse( inverse( Y ) ) ) ) ) ) ] )
% 0.78/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 subsumption(
% 0.78/1.14 clause( 15, [ =( 'double_divide'( Y, multiply( X, 'double_divide'( identity
% 0.78/1.14 , inverse( inverse( Y ) ) ) ) ), inverse( X ) ) ] )
% 0.78/1.14 , clause( 136, [ =( 'double_divide'( Y, multiply( X, 'double_divide'(
% 0.78/1.14 identity, inverse( inverse( Y ) ) ) ) ), inverse( X ) ) ] )
% 0.78/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.14 )] ) ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 138, [ =( inverse( Y ), 'double_divide'( X, multiply( Y,
% 0.78/1.14 'double_divide'( identity, inverse( inverse( X ) ) ) ) ) ) ] )
% 0.78/1.14 , clause( 15, [ =( 'double_divide'( Y, multiply( X, 'double_divide'(
% 0.78/1.14 identity, inverse( inverse( Y ) ) ) ) ), inverse( X ) ) ] )
% 0.78/1.14 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 141, [ =( inverse( multiply( inverse( inverse( X ) ), identity ) )
% 0.78/1.14 , 'double_divide'( X, inverse( identity ) ) ) ] )
% 0.78/1.14 , clause( 10, [ =( multiply( multiply( Y, X ), 'double_divide'( X, Y ) ),
% 0.78/1.14 inverse( identity ) ) ] )
% 0.78/1.14 , 0, clause( 138, [ =( inverse( Y ), 'double_divide'( X, multiply( Y,
% 0.78/1.14 'double_divide'( identity, inverse( inverse( X ) ) ) ) ) ) ] )
% 0.78/1.14 , 0, 9, substitution( 0, [ :=( X, identity ), :=( Y, inverse( inverse( X )
% 0.78/1.14 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, multiply( inverse( inverse(
% 0.78/1.14 X ) ), identity ) )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 subsumption(
% 0.78/1.14 clause( 18, [ =( inverse( multiply( inverse( inverse( X ) ), identity ) ),
% 0.78/1.14 'double_divide'( X, inverse( identity ) ) ) ] )
% 0.78/1.14 , clause( 141, [ =( inverse( multiply( inverse( inverse( X ) ), identity )
% 0.78/1.14 ), 'double_divide'( X, inverse( identity ) ) ) ] )
% 0.78/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 144, [ =( inverse( Y ), 'double_divide'( X, multiply( Y,
% 0.78/1.14 'double_divide'( identity, inverse( inverse( X ) ) ) ) ) ) ] )
% 0.78/1.14 , clause( 15, [ =( 'double_divide'( Y, multiply( X, 'double_divide'(
% 0.78/1.14 identity, inverse( inverse( Y ) ) ) ) ), inverse( X ) ) ] )
% 0.78/1.14 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 147, [ =( inverse( identity ), 'double_divide'( X, inverse( inverse(
% 0.78/1.14 'double_divide'( identity, inverse( inverse( X ) ) ) ) ) ) ) ] )
% 0.78/1.14 , clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.78/1.14 , 0, clause( 144, [ =( inverse( Y ), 'double_divide'( X, multiply( Y,
% 0.78/1.14 'double_divide'( identity, inverse( inverse( X ) ) ) ) ) ) ] )
% 0.78/1.14 , 0, 5, substitution( 0, [ :=( X, 'double_divide'( identity, inverse(
% 0.78/1.14 inverse( X ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, identity )] )
% 0.78/1.14 ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 148, [ =( inverse( identity ), 'double_divide'( X, inverse(
% 0.78/1.14 multiply( inverse( inverse( X ) ), identity ) ) ) ) ] )
% 0.78/1.14 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.78/1.14 )
% 0.78/1.14 , 0, clause( 147, [ =( inverse( identity ), 'double_divide'( X, inverse(
% 0.78/1.14 inverse( 'double_divide'( identity, inverse( inverse( X ) ) ) ) ) ) ) ]
% 0.78/1.14 )
% 0.78/1.14 , 0, 6, substitution( 0, [ :=( X, inverse( inverse( X ) ) ), :=( Y,
% 0.78/1.14 identity )] ), substitution( 1, [ :=( X, X )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 149, [ =( inverse( identity ), 'double_divide'( X, 'double_divide'(
% 0.78/1.14 X, inverse( identity ) ) ) ) ] )
% 0.78/1.14 , clause( 18, [ =( inverse( multiply( inverse( inverse( X ) ), identity ) )
% 0.78/1.14 , 'double_divide'( X, inverse( identity ) ) ) ] )
% 0.78/1.14 , 0, clause( 148, [ =( inverse( identity ), 'double_divide'( X, inverse(
% 0.78/1.14 multiply( inverse( inverse( X ) ), identity ) ) ) ) ] )
% 0.78/1.14 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.78/1.14 ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 150, [ =( 'double_divide'( X, 'double_divide'( X, inverse( identity
% 0.78/1.14 ) ) ), inverse( identity ) ) ] )
% 0.78/1.14 , clause( 149, [ =( inverse( identity ), 'double_divide'( X,
% 0.78/1.14 'double_divide'( X, inverse( identity ) ) ) ) ] )
% 0.78/1.14 , 0, substitution( 0, [ :=( X, X )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 subsumption(
% 0.78/1.14 clause( 20, [ =( 'double_divide'( X, 'double_divide'( X, inverse( identity
% 0.78/1.14 ) ) ), inverse( identity ) ) ] )
% 0.78/1.14 , clause( 150, [ =( 'double_divide'( X, 'double_divide'( X, inverse(
% 0.78/1.14 identity ) ) ), inverse( identity ) ) ] )
% 0.78/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 152, [ =( Z, 'double_divide'( X, multiply( Y, 'double_divide'(
% 0.78/1.14 identity, 'double_divide'( inverse( X ), 'double_divide'( Y, Z ) ) ) ) )
% 0.78/1.14 ) ] )
% 0.78/1.14 , clause( 9, [ =( 'double_divide'( X, multiply( Y, 'double_divide'(
% 0.78/1.14 identity, 'double_divide'( inverse( X ), 'double_divide'( Y, Z ) ) ) ) )
% 0.78/1.14 , Z ) ] )
% 0.78/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 154, [ =( inverse( identity ), 'double_divide'( X, multiply(
% 0.78/1.14 inverse( X ), 'double_divide'( identity, inverse( identity ) ) ) ) ) ] )
% 0.78/1.14 , clause( 20, [ =( 'double_divide'( X, 'double_divide'( X, inverse(
% 0.78/1.14 identity ) ) ), inverse( identity ) ) ] )
% 0.78/1.14 , 0, clause( 152, [ =( Z, 'double_divide'( X, multiply( Y, 'double_divide'(
% 0.78/1.14 identity, 'double_divide'( inverse( X ), 'double_divide'( Y, Z ) ) ) ) )
% 0.78/1.14 ) ] )
% 0.78/1.14 , 0, 10, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.78/1.14 :=( X, X ), :=( Y, inverse( X ) ), :=( Z, inverse( identity ) )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 156, [ =( inverse( identity ), 'double_divide'( X, multiply(
% 0.78/1.14 inverse( X ), identity ) ) ) ] )
% 0.78/1.14 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.78/1.14 , 0, clause( 154, [ =( inverse( identity ), 'double_divide'( X, multiply(
% 0.78/1.14 inverse( X ), 'double_divide'( identity, inverse( identity ) ) ) ) ) ] )
% 0.78/1.14 , 0, 8, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.78/1.14 X )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 157, [ =( 'double_divide'( X, multiply( inverse( X ), identity ) )
% 0.78/1.14 , inverse( identity ) ) ] )
% 0.78/1.14 , clause( 156, [ =( inverse( identity ), 'double_divide'( X, multiply(
% 0.78/1.14 inverse( X ), identity ) ) ) ] )
% 0.78/1.14 , 0, substitution( 0, [ :=( X, X )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 subsumption(
% 0.78/1.14 clause( 24, [ =( 'double_divide'( X, multiply( inverse( X ), identity ) ),
% 0.78/1.14 inverse( identity ) ) ] )
% 0.78/1.14 , clause( 157, [ =( 'double_divide'( X, multiply( inverse( X ), identity )
% 0.78/1.14 ), inverse( identity ) ) ] )
% 0.78/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 159, [ =( inverse( identity ), 'double_divide'( X, multiply(
% 0.78/1.14 inverse( X ), identity ) ) ) ] )
% 0.78/1.14 , clause( 24, [ =( 'double_divide'( X, multiply( inverse( X ), identity ) )
% 0.78/1.14 , inverse( identity ) ) ] )
% 0.78/1.14 , 0, substitution( 0, [ :=( X, X )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 161, [ =( inverse( identity ), 'double_divide'( identity, inverse(
% 0.78/1.14 identity ) ) ) ] )
% 0.78/1.14 , clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.78/1.14 , 0, clause( 159, [ =( inverse( identity ), 'double_divide'( X, multiply(
% 0.78/1.14 inverse( X ), identity ) ) ) ] )
% 0.78/1.14 , 0, 5, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.78/1.14 identity )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 162, [ =( inverse( identity ), identity ) ] )
% 0.78/1.14 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.78/1.14 , 0, clause( 161, [ =( inverse( identity ), 'double_divide'( identity,
% 0.78/1.14 inverse( identity ) ) ) ] )
% 0.78/1.14 , 0, 3, substitution( 0, [ :=( X, identity )] ), substitution( 1, [] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 subsumption(
% 0.78/1.14 clause( 29, [ =( inverse( identity ), identity ) ] )
% 0.78/1.14 , clause( 162, [ =( inverse( identity ), identity ) ] )
% 0.78/1.14 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 165, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.78/1.14 )
% 0.78/1.14 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.78/1.14 )
% 0.78/1.14 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 170, [ =( multiply( multiply( inverse( X ), identity ), X ),
% 0.78/1.14 inverse( inverse( identity ) ) ) ] )
% 0.78/1.14 , clause( 24, [ =( 'double_divide'( X, multiply( inverse( X ), identity ) )
% 0.78/1.14 , inverse( identity ) ) ] )
% 0.78/1.14 , 0, clause( 165, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.78/1.14 ) ] )
% 0.78/1.14 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.78/1.14 :=( Y, multiply( inverse( X ), identity ) )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 171, [ =( multiply( multiply( inverse( X ), identity ), X ),
% 0.78/1.14 inverse( identity ) ) ] )
% 0.78/1.14 , clause( 29, [ =( inverse( identity ), identity ) ] )
% 0.78/1.14 , 0, clause( 170, [ =( multiply( multiply( inverse( X ), identity ), X ),
% 0.78/1.14 inverse( inverse( identity ) ) ) ] )
% 0.78/1.14 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 173, [ =( multiply( multiply( inverse( X ), identity ), X ),
% 0.78/1.14 identity ) ] )
% 0.78/1.14 , clause( 29, [ =( inverse( identity ), identity ) ] )
% 0.78/1.14 , 0, clause( 171, [ =( multiply( multiply( inverse( X ), identity ), X ),
% 0.78/1.14 inverse( identity ) ) ] )
% 0.78/1.14 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 subsumption(
% 0.78/1.14 clause( 30, [ =( multiply( multiply( inverse( X ), identity ), X ),
% 0.78/1.14 identity ) ] )
% 0.78/1.14 , clause( 173, [ =( multiply( multiply( inverse( X ), identity ), X ),
% 0.78/1.14 identity ) ] )
% 0.78/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 176, [ =( inverse( Y ), 'double_divide'( X, multiply( Y,
% 0.78/1.14 'double_divide'( identity, inverse( inverse( X ) ) ) ) ) ) ] )
% 0.78/1.14 , clause( 15, [ =( 'double_divide'( Y, multiply( X, 'double_divide'(
% 0.78/1.14 identity, inverse( inverse( Y ) ) ) ) ), inverse( X ) ) ] )
% 0.78/1.14 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 179, [ =( inverse( X ), 'double_divide'( identity, multiply( X,
% 0.78/1.14 'double_divide'( identity, inverse( identity ) ) ) ) ) ] )
% 0.78/1.14 , clause( 29, [ =( inverse( identity ), identity ) ] )
% 0.78/1.14 , 0, clause( 176, [ =( inverse( Y ), 'double_divide'( X, multiply( Y,
% 0.78/1.14 'double_divide'( identity, inverse( inverse( X ) ) ) ) ) ) ] )
% 0.78/1.14 , 0, 10, substitution( 0, [] ), substitution( 1, [ :=( X, identity ), :=( Y
% 0.78/1.14 , X )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 181, [ =( inverse( X ), 'double_divide'( identity, multiply( X,
% 0.78/1.14 identity ) ) ) ] )
% 0.78/1.14 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.78/1.14 , 0, clause( 179, [ =( inverse( X ), 'double_divide'( identity, multiply( X
% 0.78/1.14 , 'double_divide'( identity, inverse( identity ) ) ) ) ) ] )
% 0.78/1.14 , 0, 7, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.78/1.14 X )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 182, [ =( 'double_divide'( identity, multiply( X, identity ) ),
% 0.78/1.14 inverse( X ) ) ] )
% 0.78/1.14 , clause( 181, [ =( inverse( X ), 'double_divide'( identity, multiply( X,
% 0.78/1.14 identity ) ) ) ] )
% 0.78/1.14 , 0, substitution( 0, [ :=( X, X )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 subsumption(
% 0.78/1.14 clause( 32, [ =( 'double_divide'( identity, multiply( X, identity ) ),
% 0.78/1.14 inverse( X ) ) ] )
% 0.78/1.14 , clause( 182, [ =( 'double_divide'( identity, multiply( X, identity ) ),
% 0.78/1.14 inverse( X ) ) ] )
% 0.78/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 184, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.78/1.14 )
% 0.78/1.14 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.78/1.14 )
% 0.78/1.14 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 187, [ =( multiply( multiply( X, identity ), identity ), inverse(
% 0.78/1.14 inverse( X ) ) ) ] )
% 0.78/1.14 , clause( 32, [ =( 'double_divide'( identity, multiply( X, identity ) ),
% 0.78/1.14 inverse( X ) ) ] )
% 0.78/1.14 , 0, clause( 184, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.78/1.14 ) ] )
% 0.78/1.14 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.78/1.14 identity ), :=( Y, multiply( X, identity ) )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 subsumption(
% 0.78/1.14 clause( 37, [ =( multiply( multiply( X, identity ), identity ), inverse(
% 0.78/1.14 inverse( X ) ) ) ] )
% 0.78/1.14 , clause( 187, [ =( multiply( multiply( X, identity ), identity ), inverse(
% 0.78/1.14 inverse( X ) ) ) ] )
% 0.78/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 190, [ =( inverse( Y ), 'double_divide'( X, multiply( Y,
% 0.78/1.14 'double_divide'( identity, inverse( inverse( X ) ) ) ) ) ) ] )
% 0.78/1.14 , clause( 15, [ =( 'double_divide'( Y, multiply( X, 'double_divide'(
% 0.78/1.14 identity, inverse( inverse( Y ) ) ) ) ), inverse( X ) ) ] )
% 0.78/1.14 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 194, [ =( inverse( multiply( inverse( 'double_divide'( identity,
% 0.78/1.14 inverse( inverse( X ) ) ) ), identity ) ), 'double_divide'( X, identity )
% 0.78/1.14 ) ] )
% 0.78/1.14 , clause( 30, [ =( multiply( multiply( inverse( X ), identity ), X ),
% 0.78/1.14 identity ) ] )
% 0.78/1.14 , 0, clause( 190, [ =( inverse( Y ), 'double_divide'( X, multiply( Y,
% 0.78/1.14 'double_divide'( identity, inverse( inverse( X ) ) ) ) ) ) ] )
% 0.78/1.14 , 0, 12, substitution( 0, [ :=( X, 'double_divide'( identity, inverse(
% 0.78/1.14 inverse( X ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, multiply(
% 0.78/1.14 inverse( 'double_divide'( identity, inverse( inverse( X ) ) ) ), identity
% 0.78/1.14 ) )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 195, [ =( inverse( multiply( inverse( 'double_divide'( identity,
% 0.78/1.14 inverse( inverse( X ) ) ) ), identity ) ), inverse( X ) ) ] )
% 0.78/1.14 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.78/1.14 , 0, clause( 194, [ =( inverse( multiply( inverse( 'double_divide'(
% 0.78/1.14 identity, inverse( inverse( X ) ) ) ), identity ) ), 'double_divide'( X,
% 0.78/1.14 identity ) ) ] )
% 0.78/1.14 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.78/1.14 ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 196, [ =( inverse( multiply( multiply( inverse( inverse( X ) ),
% 0.78/1.14 identity ), identity ) ), inverse( X ) ) ] )
% 0.78/1.14 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.78/1.14 )
% 0.78/1.14 , 0, clause( 195, [ =( inverse( multiply( inverse( 'double_divide'(
% 0.78/1.14 identity, inverse( inverse( X ) ) ) ), identity ) ), inverse( X ) ) ] )
% 0.78/1.14 , 0, 3, substitution( 0, [ :=( X, inverse( inverse( X ) ) ), :=( Y,
% 0.78/1.14 identity )] ), substitution( 1, [ :=( X, X )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 197, [ =( inverse( inverse( inverse( inverse( inverse( X ) ) ) ) )
% 0.78/1.14 , inverse( X ) ) ] )
% 0.78/1.14 , clause( 37, [ =( multiply( multiply( X, identity ), identity ), inverse(
% 0.78/1.14 inverse( X ) ) ) ] )
% 0.78/1.14 , 0, clause( 196, [ =( inverse( multiply( multiply( inverse( inverse( X ) )
% 0.78/1.14 , identity ), identity ) ), inverse( X ) ) ] )
% 0.78/1.14 , 0, 2, substitution( 0, [ :=( X, inverse( inverse( X ) ) )] ),
% 0.78/1.14 substitution( 1, [ :=( X, X )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 subsumption(
% 0.78/1.14 clause( 38, [ =( inverse( inverse( inverse( inverse( inverse( X ) ) ) ) ),
% 0.78/1.14 inverse( X ) ) ] )
% 0.78/1.14 , clause( 197, [ =( inverse( inverse( inverse( inverse( inverse( X ) ) ) )
% 0.78/1.14 ), inverse( X ) ) ] )
% 0.78/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 200, [ =( inverse( X ), 'double_divide'( identity, multiply( X,
% 0.78/1.14 identity ) ) ) ] )
% 0.78/1.14 , clause( 32, [ =( 'double_divide'( identity, multiply( X, identity ) ),
% 0.78/1.14 inverse( X ) ) ] )
% 0.78/1.14 , 0, substitution( 0, [ :=( X, X )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 201, [ =( inverse( multiply( X, identity ) ), 'double_divide'(
% 0.78/1.14 identity, inverse( inverse( X ) ) ) ) ] )
% 0.78/1.14 , clause( 37, [ =( multiply( multiply( X, identity ), identity ), inverse(
% 0.78/1.14 inverse( X ) ) ) ] )
% 0.78/1.14 , 0, clause( 200, [ =( inverse( X ), 'double_divide'( identity, multiply( X
% 0.78/1.14 , identity ) ) ) ] )
% 0.78/1.14 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.78/1.14 multiply( X, identity ) )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 202, [ =( 'double_divide'( identity, inverse( inverse( X ) ) ),
% 0.78/1.14 inverse( multiply( X, identity ) ) ) ] )
% 0.78/1.14 , clause( 201, [ =( inverse( multiply( X, identity ) ), 'double_divide'(
% 0.78/1.14 identity, inverse( inverse( X ) ) ) ) ] )
% 0.78/1.14 , 0, substitution( 0, [ :=( X, X )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 subsumption(
% 0.78/1.14 clause( 41, [ =( 'double_divide'( identity, inverse( inverse( X ) ) ),
% 0.78/1.14 inverse( multiply( X, identity ) ) ) ] )
% 0.78/1.14 , clause( 202, [ =( 'double_divide'( identity, inverse( inverse( X ) ) ),
% 0.78/1.14 inverse( multiply( X, identity ) ) ) ] )
% 0.78/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 204, [ =( inverse( multiply( X, identity ) ), 'double_divide'(
% 0.78/1.14 identity, inverse( inverse( X ) ) ) ) ] )
% 0.78/1.14 , clause( 41, [ =( 'double_divide'( identity, inverse( inverse( X ) ) ),
% 0.78/1.14 inverse( multiply( X, identity ) ) ) ] )
% 0.78/1.14 , 0, substitution( 0, [ :=( X, X )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 208, [ =( inverse( multiply( inverse( inverse( inverse( X ) ) ),
% 0.78/1.14 identity ) ), 'double_divide'( identity, inverse( X ) ) ) ] )
% 0.78/1.14 , clause( 38, [ =( inverse( inverse( inverse( inverse( inverse( X ) ) ) ) )
% 0.78/1.14 , inverse( X ) ) ] )
% 0.78/1.14 , 0, clause( 204, [ =( inverse( multiply( X, identity ) ), 'double_divide'(
% 0.78/1.14 identity, inverse( inverse( X ) ) ) ) ] )
% 0.78/1.14 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.78/1.14 inverse( inverse( inverse( X ) ) ) )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 209, [ =( 'double_divide'( inverse( X ), inverse( identity ) ),
% 0.78/1.14 'double_divide'( identity, inverse( X ) ) ) ] )
% 0.78/1.14 , clause( 18, [ =( inverse( multiply( inverse( inverse( X ) ), identity ) )
% 0.78/1.14 , 'double_divide'( X, inverse( identity ) ) ) ] )
% 0.78/1.14 , 0, clause( 208, [ =( inverse( multiply( inverse( inverse( inverse( X ) )
% 0.78/1.14 ), identity ) ), 'double_divide'( identity, inverse( X ) ) ) ] )
% 0.78/1.14 , 0, 1, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.78/1.14 :=( X, X )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 210, [ =( 'double_divide'( inverse( X ), identity ),
% 0.78/1.14 'double_divide'( identity, inverse( X ) ) ) ] )
% 0.78/1.14 , clause( 29, [ =( inverse( identity ), identity ) ] )
% 0.78/1.14 , 0, clause( 209, [ =( 'double_divide'( inverse( X ), inverse( identity ) )
% 0.78/1.14 , 'double_divide'( identity, inverse( X ) ) ) ] )
% 0.78/1.14 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 211, [ =( inverse( inverse( X ) ), 'double_divide'( identity,
% 0.78/1.14 inverse( X ) ) ) ] )
% 0.78/1.14 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.78/1.14 , 0, clause( 210, [ =( 'double_divide'( inverse( X ), identity ),
% 0.78/1.14 'double_divide'( identity, inverse( X ) ) ) ] )
% 0.78/1.14 , 0, 1, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.78/1.14 :=( X, X )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 212, [ =( 'double_divide'( identity, inverse( X ) ), inverse(
% 0.78/1.14 inverse( X ) ) ) ] )
% 0.78/1.14 , clause( 211, [ =( inverse( inverse( X ) ), 'double_divide'( identity,
% 0.78/1.14 inverse( X ) ) ) ] )
% 0.78/1.14 , 0, substitution( 0, [ :=( X, X )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 subsumption(
% 0.78/1.14 clause( 52, [ =( 'double_divide'( identity, inverse( X ) ), inverse(
% 0.78/1.14 inverse( X ) ) ) ] )
% 0.78/1.14 , clause( 212, [ =( 'double_divide'( identity, inverse( X ) ), inverse(
% 0.78/1.14 inverse( X ) ) ) ] )
% 0.78/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 ==> clause( 53, [ =( inverse( multiply( X, identity ) ), inverse( inverse(
% 0.78/1.14 inverse( X ) ) ) ) ] )
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 !!! Internal Problem: OH, OH, COULD NOT DERIVE GOAL !!!
% 0.78/1.14
% 0.78/1.14 Bliksem ended
%------------------------------------------------------------------------------