TSTP Solution File: GRP509-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP509-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 07:37:23 EDT 2022
% Result : Unsatisfiable 0.78s 1.16s
% Output : Refutation 0.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP509-1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.14 % Command : bliksem %s
% 0.14/0.36 % Computer : n026.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % DateTime : Tue Jun 14 08:19:06 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.78/1.16 *** allocated 10000 integers for termspace/termends
% 0.78/1.16 *** allocated 10000 integers for clauses
% 0.78/1.16 *** allocated 10000 integers for justifications
% 0.78/1.16 Bliksem 1.12
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 Automatic Strategy Selection
% 0.78/1.16
% 0.78/1.16 Clauses:
% 0.78/1.16 [
% 0.78/1.16 [ =( multiply( multiply( multiply( X, Y ), Z ), inverse( multiply( X, Z
% 0.78/1.16 ) ) ), Y ) ],
% 0.78/1.16 [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1 ) ) )
% 0.78/1.16 ]
% 0.78/1.16 ] .
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 percentage equality = 1.000000, percentage horn = 1.000000
% 0.78/1.16 This is a pure equality problem
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 Options Used:
% 0.78/1.16
% 0.78/1.16 useres = 1
% 0.78/1.16 useparamod = 1
% 0.78/1.16 useeqrefl = 1
% 0.78/1.16 useeqfact = 1
% 0.78/1.16 usefactor = 1
% 0.78/1.16 usesimpsplitting = 0
% 0.78/1.16 usesimpdemod = 5
% 0.78/1.16 usesimpres = 3
% 0.78/1.16
% 0.78/1.16 resimpinuse = 1000
% 0.78/1.16 resimpclauses = 20000
% 0.78/1.16 substype = eqrewr
% 0.78/1.16 backwardsubs = 1
% 0.78/1.16 selectoldest = 5
% 0.78/1.16
% 0.78/1.16 litorderings [0] = split
% 0.78/1.16 litorderings [1] = extend the termordering, first sorting on arguments
% 0.78/1.16
% 0.78/1.16 termordering = kbo
% 0.78/1.16
% 0.78/1.16 litapriori = 0
% 0.78/1.16 termapriori = 1
% 0.78/1.16 litaposteriori = 0
% 0.78/1.16 termaposteriori = 0
% 0.78/1.16 demodaposteriori = 0
% 0.78/1.16 ordereqreflfact = 0
% 0.78/1.16
% 0.78/1.16 litselect = negord
% 0.78/1.16
% 0.78/1.16 maxweight = 15
% 0.78/1.16 maxdepth = 30000
% 0.78/1.16 maxlength = 115
% 0.78/1.16 maxnrvars = 195
% 0.78/1.16 excuselevel = 1
% 0.78/1.16 increasemaxweight = 1
% 0.78/1.16
% 0.78/1.16 maxselected = 10000000
% 0.78/1.16 maxnrclauses = 10000000
% 0.78/1.16
% 0.78/1.16 showgenerated = 0
% 0.78/1.16 showkept = 0
% 0.78/1.16 showselected = 0
% 0.78/1.16 showdeleted = 0
% 0.78/1.16 showresimp = 1
% 0.78/1.16 showstatus = 2000
% 0.78/1.16
% 0.78/1.16 prologoutput = 1
% 0.78/1.16 nrgoals = 5000000
% 0.78/1.16 totalproof = 1
% 0.78/1.16
% 0.78/1.16 Symbols occurring in the translation:
% 0.78/1.16
% 0.78/1.16 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.78/1.16 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.78/1.16 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.78/1.16 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.78/1.16 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.78/1.16 multiply [41, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.78/1.16 inverse [43, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.78/1.16 a1 [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.78/1.16 b1 [45, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 Starting Search:
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 Bliksems!, er is een bewijs:
% 0.78/1.16 % SZS status Unsatisfiable
% 0.78/1.16 % SZS output start Refutation
% 0.78/1.16
% 0.78/1.16 clause( 0, [ =( multiply( multiply( multiply( X, Y ), Z ), inverse(
% 0.78/1.16 multiply( X, Z ) ) ), Y ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 1, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 ),
% 0.78/1.16 a1 ) ) ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 2, [ =( multiply( Y, inverse( multiply( multiply( X, Y ), inverse(
% 0.78/1.16 multiply( X, Z ) ) ) ) ), Z ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 3, [ =( multiply( multiply( Y, T ), inverse( multiply( multiply(
% 0.78/1.16 multiply( X, Y ), Z ), T ) ) ), inverse( multiply( X, Z ) ) ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 4, [ =( multiply( multiply( multiply( multiply( multiply( X, Y ), Z
% 0.78/1.16 ), T ), inverse( multiply( X, Z ) ) ), inverse( Y ) ), T ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 5, [ =( inverse( multiply( Y, multiply( X, inverse( multiply(
% 0.78/1.16 multiply( Y, X ), Z ) ) ) ) ), Z ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 9, [ =( multiply( multiply( T, inverse( Y ) ), inverse( T ) ),
% 0.78/1.16 inverse( Y ) ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 10, [ =( multiply( inverse( Y ), inverse( multiply( X, inverse( Y )
% 0.78/1.16 ) ) ), inverse( X ) ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 11, [ =( multiply( inverse( X ), inverse( Y ) ), inverse( multiply(
% 0.78/1.16 X, Y ) ) ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 13, [ =( multiply( multiply( T, Z ), inverse( T ) ), Z ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 18, [ =( multiply( Y, inverse( multiply( multiply( X, Y ), Z ) ) )
% 0.78/1.16 , inverse( multiply( X, Z ) ) ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 19, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X ) )
% 0.78/1.16 ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 30, [ =( multiply( inverse( multiply( X, Z ) ), Z ), inverse( X ) )
% 0.78/1.16 ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 31, [ =( multiply( Y, inverse( inverse( X ) ) ), multiply( X, Y ) )
% 0.78/1.16 ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 38, [ =( inverse( inverse( multiply( X, Y ) ) ), multiply( X, Y ) )
% 0.78/1.16 ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 40, [ =( inverse( multiply( Y, X ) ), inverse( multiply( X, Y ) ) )
% 0.78/1.16 ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 46, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X ) )
% 0.78/1.16 ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 50, [ =( inverse( inverse( Z ) ), Z ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 54, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 56, [ =( multiply( inverse( X ), multiply( X, Y ) ), Y ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 66, [ =( multiply( X, multiply( inverse( X ), Y ) ), Y ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 91, [ =( multiply( multiply( X, inverse( X ) ), Y ), Y ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 98, [ =( multiply( Y, multiply( X, inverse( X ) ) ), Y ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 99, [ =( multiply( Y, multiply( inverse( X ), X ) ), Y ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 100, [ =( multiply( inverse( X ), X ), multiply( inverse( Y ), Y )
% 0.78/1.16 ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 113, [ ~( =( multiply( inverse( X ), X ), multiply( inverse( a1 ),
% 0.78/1.16 a1 ) ) ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 114, [] )
% 0.78/1.16 .
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 % SZS output end Refutation
% 0.78/1.16 found a proof!
% 0.78/1.16
% 0.78/1.16 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.78/1.16
% 0.78/1.16 initialclauses(
% 0.78/1.16 [ clause( 116, [ =( multiply( multiply( multiply( X, Y ), Z ), inverse(
% 0.78/1.16 multiply( X, Z ) ) ), Y ) ] )
% 0.78/1.16 , clause( 117, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1
% 0.78/1.16 ), b1 ) ) ) ] )
% 0.78/1.16 ] ).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 subsumption(
% 0.78/1.16 clause( 0, [ =( multiply( multiply( multiply( X, Y ), Z ), inverse(
% 0.78/1.16 multiply( X, Z ) ) ), Y ) ] )
% 0.78/1.16 , clause( 116, [ =( multiply( multiply( multiply( X, Y ), Z ), inverse(
% 0.78/1.16 multiply( X, Z ) ) ), Y ) ] )
% 0.78/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.78/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 eqswap(
% 0.78/1.16 clause( 120, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 )
% 0.78/1.16 , a1 ) ) ) ] )
% 0.78/1.16 , clause( 117, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1
% 0.78/1.16 ), b1 ) ) ) ] )
% 0.78/1.16 , 0, substitution( 0, [] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 subsumption(
% 0.78/1.16 clause( 1, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 ),
% 0.78/1.16 a1 ) ) ) ] )
% 0.78/1.16 , clause( 120, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1
% 0.78/1.16 ), a1 ) ) ) ] )
% 0.78/1.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 eqswap(
% 0.78/1.16 clause( 121, [ =( Y, multiply( multiply( multiply( X, Y ), Z ), inverse(
% 0.78/1.16 multiply( X, Z ) ) ) ) ] )
% 0.78/1.16 , clause( 0, [ =( multiply( multiply( multiply( X, Y ), Z ), inverse(
% 0.78/1.16 multiply( X, Z ) ) ), Y ) ] )
% 0.78/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 paramod(
% 0.78/1.16 clause( 124, [ =( X, multiply( Z, inverse( multiply( multiply( Y, Z ),
% 0.78/1.16 inverse( multiply( Y, X ) ) ) ) ) ) ] )
% 0.78/1.16 , clause( 0, [ =( multiply( multiply( multiply( X, Y ), Z ), inverse(
% 0.78/1.16 multiply( X, Z ) ) ), Y ) ] )
% 0.78/1.16 , 0, clause( 121, [ =( Y, multiply( multiply( multiply( X, Y ), Z ),
% 0.78/1.16 inverse( multiply( X, Z ) ) ) ) ] )
% 0.78/1.16 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.78/1.17 substitution( 1, [ :=( X, multiply( Y, Z ) ), :=( Y, X ), :=( Z, inverse(
% 0.78/1.17 multiply( Y, X ) ) )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 eqswap(
% 0.78/1.17 clause( 127, [ =( multiply( Y, inverse( multiply( multiply( Z, Y ), inverse(
% 0.78/1.17 multiply( Z, X ) ) ) ) ), X ) ] )
% 0.78/1.17 , clause( 124, [ =( X, multiply( Z, inverse( multiply( multiply( Y, Z ),
% 0.78/1.17 inverse( multiply( Y, X ) ) ) ) ) ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 2, [ =( multiply( Y, inverse( multiply( multiply( X, Y ), inverse(
% 0.78/1.17 multiply( X, Z ) ) ) ) ), Z ) ] )
% 0.78/1.17 , clause( 127, [ =( multiply( Y, inverse( multiply( multiply( Z, Y ),
% 0.78/1.17 inverse( multiply( Z, X ) ) ) ) ), X ) ] )
% 0.78/1.17 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.78/1.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 eqswap(
% 0.78/1.17 clause( 130, [ =( Y, multiply( multiply( multiply( X, Y ), Z ), inverse(
% 0.78/1.17 multiply( X, Z ) ) ) ) ] )
% 0.78/1.17 , clause( 0, [ =( multiply( multiply( multiply( X, Y ), Z ), inverse(
% 0.78/1.17 multiply( X, Z ) ) ), Y ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 paramod(
% 0.78/1.17 clause( 134, [ =( inverse( multiply( X, Y ) ), multiply( multiply( Z, T ),
% 0.78/1.17 inverse( multiply( multiply( multiply( X, Z ), Y ), T ) ) ) ) ] )
% 0.78/1.17 , clause( 0, [ =( multiply( multiply( multiply( X, Y ), Z ), inverse(
% 0.78/1.17 multiply( X, Z ) ) ), Y ) ] )
% 0.78/1.17 , 0, clause( 130, [ =( Y, multiply( multiply( multiply( X, Y ), Z ),
% 0.78/1.17 inverse( multiply( X, Z ) ) ) ) ] )
% 0.78/1.17 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.78/1.17 substitution( 1, [ :=( X, multiply( multiply( X, Z ), Y ) ), :=( Y,
% 0.78/1.17 inverse( multiply( X, Y ) ) ), :=( Z, T )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 eqswap(
% 0.78/1.17 clause( 137, [ =( multiply( multiply( Z, T ), inverse( multiply( multiply(
% 0.78/1.17 multiply( X, Z ), Y ), T ) ) ), inverse( multiply( X, Y ) ) ) ] )
% 0.78/1.17 , clause( 134, [ =( inverse( multiply( X, Y ) ), multiply( multiply( Z, T )
% 0.78/1.17 , inverse( multiply( multiply( multiply( X, Z ), Y ), T ) ) ) ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.78/1.17 ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 3, [ =( multiply( multiply( Y, T ), inverse( multiply( multiply(
% 0.78/1.17 multiply( X, Y ), Z ), T ) ) ), inverse( multiply( X, Z ) ) ) ] )
% 0.78/1.17 , clause( 137, [ =( multiply( multiply( Z, T ), inverse( multiply( multiply(
% 0.78/1.17 multiply( X, Z ), Y ), T ) ) ), inverse( multiply( X, Y ) ) ) ] )
% 0.78/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y ), :=( T, T )] ),
% 0.78/1.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 eqswap(
% 0.78/1.17 clause( 139, [ =( Y, multiply( multiply( multiply( X, Y ), Z ), inverse(
% 0.78/1.17 multiply( X, Z ) ) ) ) ] )
% 0.78/1.17 , clause( 0, [ =( multiply( multiply( multiply( X, Y ), Z ), inverse(
% 0.78/1.17 multiply( X, Z ) ) ), Y ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 paramod(
% 0.78/1.17 clause( 144, [ =( X, multiply( multiply( multiply( multiply( multiply( Y, Z
% 0.78/1.17 ), T ), X ), inverse( multiply( Y, T ) ) ), inverse( Z ) ) ) ] )
% 0.78/1.17 , clause( 0, [ =( multiply( multiply( multiply( X, Y ), Z ), inverse(
% 0.78/1.17 multiply( X, Z ) ) ), Y ) ] )
% 0.78/1.17 , 0, clause( 139, [ =( Y, multiply( multiply( multiply( X, Y ), Z ),
% 0.78/1.17 inverse( multiply( X, Z ) ) ) ) ] )
% 0.78/1.17 , 0, 16, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T )] ),
% 0.78/1.17 substitution( 1, [ :=( X, multiply( multiply( Y, Z ), T ) ), :=( Y, X ),
% 0.78/1.17 :=( Z, inverse( multiply( Y, T ) ) )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 eqswap(
% 0.78/1.17 clause( 147, [ =( multiply( multiply( multiply( multiply( multiply( Y, Z )
% 0.78/1.17 , T ), X ), inverse( multiply( Y, T ) ) ), inverse( Z ) ), X ) ] )
% 0.78/1.17 , clause( 144, [ =( X, multiply( multiply( multiply( multiply( multiply( Y
% 0.78/1.17 , Z ), T ), X ), inverse( multiply( Y, T ) ) ), inverse( Z ) ) ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.78/1.17 ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 4, [ =( multiply( multiply( multiply( multiply( multiply( X, Y ), Z
% 0.78/1.17 ), T ), inverse( multiply( X, Z ) ) ), inverse( Y ) ), T ) ] )
% 0.78/1.17 , clause( 147, [ =( multiply( multiply( multiply( multiply( multiply( Y, Z
% 0.78/1.17 ), T ), X ), inverse( multiply( Y, T ) ) ), inverse( Z ) ), X ) ] )
% 0.78/1.17 , substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] ),
% 0.78/1.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 eqswap(
% 0.78/1.17 clause( 148, [ =( inverse( multiply( Z, T ) ), multiply( multiply( X, Y ),
% 0.78/1.17 inverse( multiply( multiply( multiply( Z, X ), T ), Y ) ) ) ) ] )
% 0.78/1.17 , clause( 3, [ =( multiply( multiply( Y, T ), inverse( multiply( multiply(
% 0.78/1.17 multiply( X, Y ), Z ), T ) ) ), inverse( multiply( X, Z ) ) ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, T ), :=( T, Y )] )
% 0.78/1.17 ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 paramod(
% 0.78/1.17 clause( 151, [ =( inverse( multiply( X, multiply( Y, inverse( multiply(
% 0.78/1.17 multiply( X, Y ), Z ) ) ) ) ), Z ) ] )
% 0.78/1.17 , clause( 2, [ =( multiply( Y, inverse( multiply( multiply( X, Y ), inverse(
% 0.78/1.17 multiply( X, Z ) ) ) ) ), Z ) ] )
% 0.78/1.17 , 0, clause( 148, [ =( inverse( multiply( Z, T ) ), multiply( multiply( X,
% 0.78/1.17 Y ), inverse( multiply( multiply( multiply( Z, X ), T ), Y ) ) ) ) ] )
% 0.78/1.17 , 0, 12, substitution( 0, [ :=( X, multiply( X, Y ) ), :=( Y, multiply( Y,
% 0.78/1.17 inverse( multiply( multiply( X, Y ), Z ) ) ) ), :=( Z, Z )] ),
% 0.78/1.17 substitution( 1, [ :=( X, Y ), :=( Y, inverse( multiply( multiply( X, Y )
% 0.78/1.17 , Z ) ) ), :=( Z, X ), :=( T, multiply( Y, inverse( multiply( multiply( X
% 0.78/1.17 , Y ), Z ) ) ) )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 5, [ =( inverse( multiply( Y, multiply( X, inverse( multiply(
% 0.78/1.17 multiply( Y, X ), Z ) ) ) ) ), Z ) ] )
% 0.78/1.17 , clause( 151, [ =( inverse( multiply( X, multiply( Y, inverse( multiply(
% 0.78/1.17 multiply( X, Y ), Z ) ) ) ) ), Z ) ] )
% 0.78/1.17 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.78/1.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 eqswap(
% 0.78/1.17 clause( 163, [ =( inverse( multiply( Z, T ) ), multiply( multiply( X, Y ),
% 0.78/1.17 inverse( multiply( multiply( multiply( Z, X ), T ), Y ) ) ) ) ] )
% 0.78/1.17 , clause( 3, [ =( multiply( multiply( Y, T ), inverse( multiply( multiply(
% 0.78/1.17 multiply( X, Y ), Z ), T ) ) ), inverse( multiply( X, Z ) ) ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, T ), :=( T, Y )] )
% 0.78/1.17 ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 paramod(
% 0.78/1.17 clause( 171, [ =( inverse( multiply( multiply( multiply( X, Y ), Z ),
% 0.78/1.17 inverse( multiply( X, Z ) ) ) ), multiply( multiply( T, inverse( Y ) ),
% 0.78/1.17 inverse( T ) ) ) ] )
% 0.78/1.17 , clause( 4, [ =( multiply( multiply( multiply( multiply( multiply( X, Y )
% 0.78/1.17 , Z ), T ), inverse( multiply( X, Z ) ) ), inverse( Y ) ), T ) ] )
% 0.78/1.17 , 0, clause( 163, [ =( inverse( multiply( Z, T ) ), multiply( multiply( X,
% 0.78/1.17 Y ), inverse( multiply( multiply( multiply( Z, X ), T ), Y ) ) ) ) ] )
% 0.78/1.17 , 0, 18, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.78/1.17 , substitution( 1, [ :=( X, T ), :=( Y, inverse( Y ) ), :=( Z, multiply(
% 0.78/1.17 multiply( X, Y ), Z ) ), :=( T, inverse( multiply( X, Z ) ) )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 paramod(
% 0.78/1.17 clause( 174, [ =( inverse( Y ), multiply( multiply( T, inverse( Y ) ),
% 0.78/1.17 inverse( T ) ) ) ] )
% 0.78/1.17 , clause( 0, [ =( multiply( multiply( multiply( X, Y ), Z ), inverse(
% 0.78/1.17 multiply( X, Z ) ) ), Y ) ] )
% 0.78/1.17 , 0, clause( 171, [ =( inverse( multiply( multiply( multiply( X, Y ), Z ),
% 0.78/1.17 inverse( multiply( X, Z ) ) ) ), multiply( multiply( T, inverse( Y ) ),
% 0.78/1.17 inverse( T ) ) ) ] )
% 0.78/1.17 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.78/1.17 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 eqswap(
% 0.78/1.17 clause( 175, [ =( multiply( multiply( Y, inverse( X ) ), inverse( Y ) ),
% 0.78/1.17 inverse( X ) ) ] )
% 0.78/1.17 , clause( 174, [ =( inverse( Y ), multiply( multiply( T, inverse( Y ) ),
% 0.78/1.17 inverse( T ) ) ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, T ), :=( T, Y )] )
% 0.78/1.17 ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 9, [ =( multiply( multiply( T, inverse( Y ) ), inverse( T ) ),
% 0.78/1.17 inverse( Y ) ) ] )
% 0.78/1.17 , clause( 175, [ =( multiply( multiply( Y, inverse( X ) ), inverse( Y ) ),
% 0.78/1.17 inverse( X ) ) ] )
% 0.78/1.17 , substitution( 0, [ :=( X, Y ), :=( Y, T )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.17 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 eqswap(
% 0.78/1.17 clause( 176, [ =( inverse( Y ), multiply( multiply( X, inverse( Y ) ),
% 0.78/1.17 inverse( X ) ) ) ] )
% 0.78/1.17 , clause( 9, [ =( multiply( multiply( T, inverse( Y ) ), inverse( T ) ),
% 0.78/1.17 inverse( Y ) ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, T ), :=( T, X )] )
% 0.78/1.17 ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 paramod(
% 0.78/1.17 clause( 179, [ =( inverse( X ), multiply( inverse( Y ), inverse( multiply(
% 0.78/1.17 X, inverse( Y ) ) ) ) ) ] )
% 0.78/1.17 , clause( 9, [ =( multiply( multiply( T, inverse( Y ) ), inverse( T ) ),
% 0.78/1.17 inverse( Y ) ) ] )
% 0.78/1.17 , 0, clause( 176, [ =( inverse( Y ), multiply( multiply( X, inverse( Y ) )
% 0.78/1.17 , inverse( X ) ) ) ] )
% 0.78/1.17 , 0, 4, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, T ), :=( T, X )] )
% 0.78/1.17 , substitution( 1, [ :=( X, multiply( X, inverse( Y ) ) ), :=( Y, X )] )
% 0.78/1.17 ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 eqswap(
% 0.78/1.17 clause( 180, [ =( multiply( inverse( Y ), inverse( multiply( X, inverse( Y
% 0.78/1.17 ) ) ) ), inverse( X ) ) ] )
% 0.78/1.17 , clause( 179, [ =( inverse( X ), multiply( inverse( Y ), inverse( multiply(
% 0.78/1.17 X, inverse( Y ) ) ) ) ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 10, [ =( multiply( inverse( Y ), inverse( multiply( X, inverse( Y )
% 0.78/1.17 ) ) ), inverse( X ) ) ] )
% 0.78/1.17 , clause( 180, [ =( multiply( inverse( Y ), inverse( multiply( X, inverse(
% 0.78/1.17 Y ) ) ) ), inverse( X ) ) ] )
% 0.78/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.17 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 eqswap(
% 0.78/1.17 clause( 182, [ =( T, multiply( multiply( multiply( multiply( multiply( X, Y
% 0.78/1.17 ), Z ), T ), inverse( multiply( X, Z ) ) ), inverse( Y ) ) ) ] )
% 0.78/1.17 , clause( 4, [ =( multiply( multiply( multiply( multiply( multiply( X, Y )
% 0.78/1.17 , Z ), T ), inverse( multiply( X, Z ) ) ), inverse( Y ) ), T ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.78/1.17 ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 paramod(
% 0.78/1.17 clause( 185, [ =( inverse( multiply( X, Y ) ), multiply( multiply( inverse(
% 0.78/1.17 Z ), inverse( multiply( X, inverse( Z ) ) ) ), inverse( Y ) ) ) ] )
% 0.78/1.17 , clause( 9, [ =( multiply( multiply( T, inverse( Y ) ), inverse( T ) ),
% 0.78/1.17 inverse( Y ) ) ] )
% 0.78/1.17 , 0, clause( 182, [ =( T, multiply( multiply( multiply( multiply( multiply(
% 0.78/1.17 X, Y ), Z ), T ), inverse( multiply( X, Z ) ) ), inverse( Y ) ) ) ] )
% 0.78/1.17 , 0, 7, substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, U ), :=( T,
% 0.78/1.17 multiply( X, Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z,
% 0.78/1.17 inverse( Z ) ), :=( T, inverse( multiply( X, Y ) ) )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 paramod(
% 0.78/1.17 clause( 189, [ =( inverse( multiply( X, Y ) ), multiply( inverse( X ),
% 0.78/1.17 inverse( Y ) ) ) ] )
% 0.78/1.17 , clause( 10, [ =( multiply( inverse( Y ), inverse( multiply( X, inverse( Y
% 0.78/1.17 ) ) ) ), inverse( X ) ) ] )
% 0.78/1.17 , 0, clause( 185, [ =( inverse( multiply( X, Y ) ), multiply( multiply(
% 0.78/1.17 inverse( Z ), inverse( multiply( X, inverse( Z ) ) ) ), inverse( Y ) ) )
% 0.78/1.17 ] )
% 0.78/1.17 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [
% 0.78/1.17 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 eqswap(
% 0.78/1.17 clause( 190, [ =( multiply( inverse( X ), inverse( Y ) ), inverse( multiply(
% 0.78/1.17 X, Y ) ) ) ] )
% 0.78/1.17 , clause( 189, [ =( inverse( multiply( X, Y ) ), multiply( inverse( X ),
% 0.78/1.17 inverse( Y ) ) ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 11, [ =( multiply( inverse( X ), inverse( Y ) ), inverse( multiply(
% 0.78/1.17 X, Y ) ) ) ] )
% 0.78/1.17 , clause( 190, [ =( multiply( inverse( X ), inverse( Y ) ), inverse(
% 0.78/1.17 multiply( X, Y ) ) ) ] )
% 0.78/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.17 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 eqswap(
% 0.78/1.17 clause( 192, [ =( inverse( Y ), multiply( multiply( X, inverse( Y ) ),
% 0.78/1.17 inverse( X ) ) ) ] )
% 0.78/1.17 , clause( 9, [ =( multiply( multiply( T, inverse( Y ) ), inverse( T ) ),
% 0.78/1.17 inverse( Y ) ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, T ), :=( T, X )] )
% 0.78/1.17 ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 paramod(
% 0.78/1.17 clause( 198, [ =( inverse( multiply( X, multiply( Y, inverse( multiply(
% 0.78/1.17 multiply( X, Y ), Z ) ) ) ) ), multiply( multiply( T, Z ), inverse( T ) )
% 0.78/1.17 ) ] )
% 0.78/1.17 , clause( 5, [ =( inverse( multiply( Y, multiply( X, inverse( multiply(
% 0.78/1.17 multiply( Y, X ), Z ) ) ) ) ), Z ) ] )
% 0.78/1.17 , 0, clause( 192, [ =( inverse( Y ), multiply( multiply( X, inverse( Y ) )
% 0.78/1.17 , inverse( X ) ) ) ] )
% 0.78/1.17 , 0, 15, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.78/1.17 substitution( 1, [ :=( X, T ), :=( Y, multiply( X, multiply( Y, inverse(
% 0.78/1.17 multiply( multiply( X, Y ), Z ) ) ) ) )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 paramod(
% 0.78/1.17 clause( 200, [ =( Z, multiply( multiply( T, Z ), inverse( T ) ) ) ] )
% 0.78/1.17 , clause( 5, [ =( inverse( multiply( Y, multiply( X, inverse( multiply(
% 0.78/1.17 multiply( Y, X ), Z ) ) ) ) ), Z ) ] )
% 0.78/1.17 , 0, clause( 198, [ =( inverse( multiply( X, multiply( Y, inverse( multiply(
% 0.78/1.17 multiply( X, Y ), Z ) ) ) ) ), multiply( multiply( T, Z ), inverse( T ) )
% 0.78/1.17 ) ] )
% 0.78/1.17 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.78/1.17 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 eqswap(
% 0.78/1.17 clause( 202, [ =( multiply( multiply( Y, X ), inverse( Y ) ), X ) ] )
% 0.78/1.17 , clause( 200, [ =( Z, multiply( multiply( T, Z ), inverse( T ) ) ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, X ), :=( T, Y )] )
% 0.78/1.17 ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 13, [ =( multiply( multiply( T, Z ), inverse( T ) ), Z ) ] )
% 0.78/1.17 , clause( 202, [ =( multiply( multiply( Y, X ), inverse( Y ) ), X ) ] )
% 0.78/1.17 , substitution( 0, [ :=( X, Z ), :=( Y, T )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.17 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 eqswap(
% 0.78/1.17 clause( 206, [ =( inverse( Y ), multiply( multiply( X, inverse( Y ) ),
% 0.78/1.17 inverse( X ) ) ) ] )
% 0.78/1.17 , clause( 9, [ =( multiply( multiply( T, inverse( Y ) ), inverse( T ) ),
% 0.78/1.17 inverse( Y ) ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, T ), :=( T, X )] )
% 0.78/1.17 ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 paramod(
% 0.78/1.17 clause( 215, [ =( inverse( multiply( X, Y ) ), multiply( Z, inverse(
% 0.78/1.17 multiply( multiply( X, Z ), Y ) ) ) ) ] )
% 0.78/1.17 , clause( 0, [ =( multiply( multiply( multiply( X, Y ), Z ), inverse(
% 0.78/1.17 multiply( X, Z ) ) ), Y ) ] )
% 0.78/1.17 , 0, clause( 206, [ =( inverse( Y ), multiply( multiply( X, inverse( Y ) )
% 0.78/1.17 , inverse( X ) ) ) ] )
% 0.78/1.17 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.78/1.17 substitution( 1, [ :=( X, multiply( multiply( X, Z ), Y ) ), :=( Y,
% 0.78/1.17 multiply( X, Y ) )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 eqswap(
% 0.78/1.17 clause( 216, [ =( multiply( Z, inverse( multiply( multiply( X, Z ), Y ) ) )
% 0.78/1.17 , inverse( multiply( X, Y ) ) ) ] )
% 0.78/1.17 , clause( 215, [ =( inverse( multiply( X, Y ) ), multiply( Z, inverse(
% 0.78/1.17 multiply( multiply( X, Z ), Y ) ) ) ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 18, [ =( multiply( Y, inverse( multiply( multiply( X, Y ), Z ) ) )
% 0.78/1.17 , inverse( multiply( X, Z ) ) ) ] )
% 0.78/1.17 , clause( 216, [ =( multiply( Z, inverse( multiply( multiply( X, Z ), Y ) )
% 0.78/1.17 ), inverse( multiply( X, Y ) ) ) ] )
% 0.78/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.78/1.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 eqswap(
% 0.78/1.17 clause( 217, [ =( Y, multiply( multiply( X, Y ), inverse( X ) ) ) ] )
% 0.78/1.17 , clause( 13, [ =( multiply( multiply( T, Z ), inverse( T ) ), Z ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, Y ), :=( T, X )] )
% 0.78/1.17 ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 paramod(
% 0.78/1.17 clause( 220, [ =( inverse( X ), multiply( Y, inverse( multiply( X, Y ) ) )
% 0.78/1.17 ) ] )
% 0.78/1.17 , clause( 13, [ =( multiply( multiply( T, Z ), inverse( T ) ), Z ) ] )
% 0.78/1.17 , 0, clause( 217, [ =( Y, multiply( multiply( X, Y ), inverse( X ) ) ) ] )
% 0.78/1.17 , 0, 4, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, Y ), :=( T, X )] )
% 0.78/1.17 , substitution( 1, [ :=( X, multiply( X, Y ) ), :=( Y, inverse( X ) )] )
% 0.78/1.17 ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 eqswap(
% 0.78/1.17 clause( 221, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 0.78/1.17 ) ] )
% 0.78/1.17 , clause( 220, [ =( inverse( X ), multiply( Y, inverse( multiply( X, Y ) )
% 0.78/1.17 ) ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 19, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X ) )
% 0.78/1.17 ] )
% 0.78/1.17 , clause( 221, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 0.78/1.17 ) ) ] )
% 0.78/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.17 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 eqswap(
% 0.78/1.17 clause( 223, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) ) )
% 0.78/1.17 ) ] )
% 0.78/1.17 , clause( 19, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 0.78/1.17 ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 paramod(
% 0.78/1.17 clause( 229, [ =( inverse( X ), multiply( multiply( Y, inverse( multiply(
% 0.78/1.17 multiply( X, Y ), Z ) ) ), Z ) ) ] )
% 0.78/1.17 , clause( 5, [ =( inverse( multiply( Y, multiply( X, inverse( multiply(
% 0.78/1.17 multiply( Y, X ), Z ) ) ) ) ), Z ) ] )
% 0.78/1.17 , 0, clause( 223, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X )
% 0.78/1.17 ) ) ) ] )
% 0.78/1.17 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.78/1.17 substitution( 1, [ :=( X, multiply( Y, inverse( multiply( multiply( X, Y
% 0.78/1.17 ), Z ) ) ) ), :=( Y, X )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 paramod(
% 0.78/1.17 clause( 230, [ =( inverse( X ), multiply( inverse( multiply( X, Z ) ), Z )
% 0.78/1.17 ) ] )
% 0.78/1.17 , clause( 18, [ =( multiply( Y, inverse( multiply( multiply( X, Y ), Z ) )
% 0.78/1.17 ), inverse( multiply( X, Z ) ) ) ] )
% 0.78/1.17 , 0, clause( 229, [ =( inverse( X ), multiply( multiply( Y, inverse(
% 0.78/1.17 multiply( multiply( X, Y ), Z ) ) ), Z ) ) ] )
% 0.78/1.17 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.78/1.17 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 eqswap(
% 0.78/1.17 clause( 231, [ =( multiply( inverse( multiply( X, Y ) ), Y ), inverse( X )
% 0.78/1.17 ) ] )
% 0.78/1.17 , clause( 230, [ =( inverse( X ), multiply( inverse( multiply( X, Z ) ), Z
% 0.78/1.17 ) ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 30, [ =( multiply( inverse( multiply( X, Z ) ), Z ), inverse( X ) )
% 0.78/1.17 ] )
% 0.78/1.17 , clause( 231, [ =( multiply( inverse( multiply( X, Y ) ), Y ), inverse( X
% 0.78/1.17 ) ) ] )
% 0.78/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Z )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.17 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 eqswap(
% 0.78/1.17 clause( 233, [ =( Z, multiply( X, inverse( multiply( multiply( Y, X ),
% 0.78/1.17 inverse( multiply( Y, Z ) ) ) ) ) ) ] )
% 0.78/1.17 , clause( 2, [ =( multiply( Y, inverse( multiply( multiply( X, Y ), inverse(
% 0.78/1.17 multiply( X, Z ) ) ) ) ), Z ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 paramod(
% 0.78/1.17 clause( 239, [ =( multiply( X, Y ), multiply( Y, inverse( inverse( X ) ) )
% 0.78/1.17 ) ] )
% 0.78/1.17 , clause( 19, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 0.78/1.17 ) ] )
% 0.78/1.17 , 0, clause( 233, [ =( Z, multiply( X, inverse( multiply( multiply( Y, X )
% 0.78/1.17 , inverse( multiply( Y, Z ) ) ) ) ) ) ] )
% 0.78/1.17 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, multiply( X, Y ) )] ),
% 0.78/1.17 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, multiply( X, Y ) )] )
% 0.78/1.17 ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 eqswap(
% 0.78/1.17 clause( 243, [ =( multiply( Y, inverse( inverse( X ) ) ), multiply( X, Y )
% 0.78/1.17 ) ] )
% 0.78/1.17 , clause( 239, [ =( multiply( X, Y ), multiply( Y, inverse( inverse( X ) )
% 0.78/1.17 ) ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 31, [ =( multiply( Y, inverse( inverse( X ) ) ), multiply( X, Y ) )
% 0.78/1.17 ] )
% 0.78/1.17 , clause( 243, [ =( multiply( Y, inverse( inverse( X ) ) ), multiply( X, Y
% 0.78/1.17 ) ) ] )
% 0.78/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.17 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 eqswap(
% 0.78/1.17 clause( 247, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) ) )
% 0.78/1.17 ) ] )
% 0.78/1.17 , clause( 19, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 0.78/1.17 ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 paramod(
% 0.78/1.17 clause( 250, [ =( inverse( inverse( multiply( X, Y ) ) ), multiply( Y,
% 0.78/1.17 inverse( inverse( X ) ) ) ) ] )
% 0.78/1.17 , clause( 30, [ =( multiply( inverse( multiply( X, Z ) ), Z ), inverse( X )
% 0.78/1.17 ) ] )
% 0.78/1.17 , 0, clause( 247, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X )
% 0.78/1.17 ) ) ) ] )
% 0.78/1.17 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.78/1.17 substitution( 1, [ :=( X, Y ), :=( Y, inverse( multiply( X, Y ) ) )] )
% 0.78/1.17 ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 paramod(
% 0.78/1.17 clause( 251, [ =( inverse( inverse( multiply( X, Y ) ) ), multiply( X, Y )
% 0.78/1.17 ) ] )
% 0.78/1.17 , clause( 31, [ =( multiply( Y, inverse( inverse( X ) ) ), multiply( X, Y )
% 0.78/1.17 ) ] )
% 0.78/1.17 , 0, clause( 250, [ =( inverse( inverse( multiply( X, Y ) ) ), multiply( Y
% 0.78/1.17 , inverse( inverse( X ) ) ) ) ] )
% 0.78/1.17 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.78/1.17 :=( X, X ), :=( Y, Y )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 38, [ =( inverse( inverse( multiply( X, Y ) ) ), multiply( X, Y ) )
% 0.78/1.17 ] )
% 0.78/1.17 , clause( 251, [ =( inverse( inverse( multiply( X, Y ) ) ), multiply( X, Y
% 0.78/1.17 ) ) ] )
% 0.78/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.17 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 eqswap(
% 0.78/1.17 clause( 254, [ =( inverse( X ), multiply( inverse( multiply( X, Y ) ), Y )
% 0.78/1.17 ) ] )
% 0.78/1.17 , clause( 30, [ =( multiply( inverse( multiply( X, Z ) ), Z ), inverse( X )
% 0.78/1.17 ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 paramod(
% 0.78/1.17 clause( 259, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ),
% 0.78/1.17 inverse( X ) ) ) ] )
% 0.78/1.17 , clause( 13, [ =( multiply( multiply( T, Z ), inverse( T ) ), Z ) ] )
% 0.78/1.17 , 0, clause( 254, [ =( inverse( X ), multiply( inverse( multiply( X, Y ) )
% 0.78/1.17 , Y ) ) ] )
% 0.78/1.17 , 0, 7, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, Y ), :=( T, X )] )
% 0.78/1.17 , substitution( 1, [ :=( X, multiply( X, Y ) ), :=( Y, inverse( X ) )] )
% 0.78/1.17 ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 paramod(
% 0.78/1.17 clause( 260, [ =( inverse( multiply( X, Y ) ), inverse( multiply( Y, X ) )
% 0.78/1.17 ) ] )
% 0.78/1.17 , clause( 11, [ =( multiply( inverse( X ), inverse( Y ) ), inverse(
% 0.78/1.17 multiply( X, Y ) ) ) ] )
% 0.78/1.17 , 0, clause( 259, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y )
% 0.78/1.17 , inverse( X ) ) ) ] )
% 0.78/1.17 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.78/1.17 :=( X, X ), :=( Y, Y )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 40, [ =( inverse( multiply( Y, X ) ), inverse( multiply( X, Y ) ) )
% 0.78/1.17 ] )
% 0.78/1.17 , clause( 260, [ =( inverse( multiply( X, Y ) ), inverse( multiply( Y, X )
% 0.78/1.17 ) ) ] )
% 0.78/1.17 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.17 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 eqswap(
% 0.78/1.17 clause( 261, [ =( inverse( X ), multiply( inverse( multiply( X, Y ) ), Y )
% 0.78/1.17 ) ] )
% 0.78/1.17 , clause( 30, [ =( multiply( inverse( multiply( X, Z ) ), Z ), inverse( X )
% 0.78/1.17 ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 paramod(
% 0.78/1.17 clause( 263, [ =( inverse( X ), multiply( inverse( multiply( Y, X ) ), Y )
% 0.78/1.17 ) ] )
% 0.78/1.17 , clause( 40, [ =( inverse( multiply( Y, X ) ), inverse( multiply( X, Y ) )
% 0.78/1.17 ) ] )
% 0.78/1.17 , 0, clause( 261, [ =( inverse( X ), multiply( inverse( multiply( X, Y ) )
% 0.78/1.17 , Y ) ) ] )
% 0.78/1.17 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.78/1.17 :=( X, X ), :=( Y, Y )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 eqswap(
% 0.78/1.17 clause( 269, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X )
% 0.78/1.17 ) ] )
% 0.78/1.17 , clause( 263, [ =( inverse( X ), multiply( inverse( multiply( Y, X ) ), Y
% 0.78/1.17 ) ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 46, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X ) )
% 0.78/1.17 ] )
% 0.78/1.17 , clause( 269, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 0.78/1.17 ) ) ] )
% 0.78/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.17 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 eqswap(
% 0.78/1.17 clause( 270, [ =( Z, inverse( multiply( X, multiply( Y, inverse( multiply(
% 0.78/1.17 multiply( X, Y ), Z ) ) ) ) ) ) ] )
% 0.78/1.17 , clause( 5, [ =( inverse( multiply( Y, multiply( X, inverse( multiply(
% 0.78/1.17 multiply( Y, X ), Z ) ) ) ) ), Z ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 paramod(
% 0.78/1.17 clause( 273, [ =( X, inverse( multiply( multiply( Z, inverse( multiply(
% 0.78/1.17 multiply( Y, Z ), X ) ) ), Y ) ) ) ] )
% 0.78/1.17 , clause( 40, [ =( inverse( multiply( Y, X ) ), inverse( multiply( X, Y ) )
% 0.78/1.17 ) ] )
% 0.78/1.17 , 0, clause( 270, [ =( Z, inverse( multiply( X, multiply( Y, inverse(
% 0.78/1.17 multiply( multiply( X, Y ), Z ) ) ) ) ) ) ] )
% 0.78/1.17 , 0, 2, substitution( 0, [ :=( X, multiply( Z, inverse( multiply( multiply(
% 0.78/1.17 Y, Z ), X ) ) ) ), :=( Y, Y )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z
% 0.78/1.17 ), :=( Z, X )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 paramod(
% 0.78/1.17 clause( 278, [ =( X, inverse( multiply( inverse( multiply( Z, X ) ), Z ) )
% 0.78/1.17 ) ] )
% 0.78/1.17 , clause( 18, [ =( multiply( Y, inverse( multiply( multiply( X, Y ), Z ) )
% 0.78/1.17 ), inverse( multiply( X, Z ) ) ) ] )
% 0.78/1.17 , 0, clause( 273, [ =( X, inverse( multiply( multiply( Z, inverse( multiply(
% 0.78/1.17 multiply( Y, Z ), X ) ) ), Y ) ) ) ] )
% 0.78/1.17 , 0, 4, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.78/1.17 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 paramod(
% 0.78/1.17 clause( 279, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.78/1.17 , clause( 46, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X )
% 0.78/1.17 ) ] )
% 0.78/1.17 , 0, clause( 278, [ =( X, inverse( multiply( inverse( multiply( Z, X ) ), Z
% 0.78/1.17 ) ) ) ] )
% 0.78/1.17 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.78/1.17 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 eqswap(
% 0.78/1.17 clause( 280, [ =( inverse( inverse( X ) ), X ) ] )
% 0.78/1.17 , clause( 279, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, X )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 50, [ =( inverse( inverse( Z ) ), Z ) ] )
% 0.78/1.17 , clause( 280, [ =( inverse( inverse( X ) ), X ) ] )
% 0.78/1.17 , substitution( 0, [ :=( X, Z )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 eqswap(
% 0.78/1.17 clause( 281, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.78/1.17 , clause( 50, [ =( inverse( inverse( Z ) ), Z ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 paramod(
% 0.78/1.17 clause( 283, [ =( multiply( X, Y ), inverse( inverse( multiply( Y, X ) ) )
% 0.78/1.17 ) ] )
% 0.78/1.17 , clause( 40, [ =( inverse( multiply( Y, X ) ), inverse( multiply( X, Y ) )
% 0.78/1.17 ) ] )
% 0.78/1.17 , 0, clause( 281, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.78/1.17 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.78/1.17 :=( X, multiply( X, Y ) )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 paramod(
% 0.78/1.17 clause( 285, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.78/1.17 , clause( 38, [ =( inverse( inverse( multiply( X, Y ) ) ), multiply( X, Y )
% 0.78/1.17 ) ] )
% 0.78/1.17 , 0, clause( 283, [ =( multiply( X, Y ), inverse( inverse( multiply( Y, X )
% 0.78/1.17 ) ) ) ] )
% 0.78/1.17 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.78/1.17 :=( X, X ), :=( Y, Y )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 54, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 0.78/1.17 , clause( 285, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.78/1.17 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.17 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 eqswap(
% 0.78/1.17 clause( 286, [ =( Y, multiply( multiply( X, Y ), inverse( X ) ) ) ] )
% 0.78/1.17 , clause( 13, [ =( multiply( multiply( T, Z ), inverse( T ) ), Z ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, Y ), :=( T, X )] )
% 0.78/1.17 ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 paramod(
% 0.78/1.17 clause( 287, [ =( X, multiply( inverse( Y ), multiply( Y, X ) ) ) ] )
% 0.78/1.17 , clause( 54, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 0.78/1.17 , 0, clause( 286, [ =( Y, multiply( multiply( X, Y ), inverse( X ) ) ) ] )
% 0.78/1.17 , 0, 2, substitution( 0, [ :=( X, inverse( Y ) ), :=( Y, multiply( Y, X ) )] )
% 0.78/1.17 , substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 eqswap(
% 0.78/1.17 clause( 291, [ =( multiply( inverse( Y ), multiply( Y, X ) ), X ) ] )
% 0.78/1.17 , clause( 287, [ =( X, multiply( inverse( Y ), multiply( Y, X ) ) ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 56, [ =( multiply( inverse( X ), multiply( X, Y ) ), Y ) ] )
% 0.78/1.17 , clause( 291, [ =( multiply( inverse( Y ), multiply( Y, X ) ), X ) ] )
% 0.78/1.17 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.17 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 eqswap(
% 0.78/1.17 clause( 296, [ =( Y, multiply( inverse( X ), multiply( X, Y ) ) ) ] )
% 0.78/1.17 , clause( 56, [ =( multiply( inverse( X ), multiply( X, Y ) ), Y ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 paramod(
% 0.78/1.17 clause( 297, [ =( X, multiply( Y, multiply( inverse( Y ), X ) ) ) ] )
% 0.78/1.17 , clause( 50, [ =( inverse( inverse( Z ) ), Z ) ] )
% 0.78/1.17 , 0, clause( 296, [ =( Y, multiply( inverse( X ), multiply( X, Y ) ) ) ] )
% 0.78/1.17 , 0, 3, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, Y )] ),
% 0.78/1.17 substitution( 1, [ :=( X, inverse( Y ) ), :=( Y, X )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 eqswap(
% 0.78/1.17 clause( 298, [ =( multiply( Y, multiply( inverse( Y ), X ) ), X ) ] )
% 0.78/1.17 , clause( 297, [ =( X, multiply( Y, multiply( inverse( Y ), X ) ) ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 66, [ =( multiply( X, multiply( inverse( X ), Y ) ), Y ) ] )
% 0.78/1.17 , clause( 298, [ =( multiply( Y, multiply( inverse( Y ), X ) ), X ) ] )
% 0.78/1.17 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.17 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 eqswap(
% 0.78/1.17 clause( 300, [ =( Z, inverse( multiply( X, multiply( Y, inverse( multiply(
% 0.78/1.17 multiply( X, Y ), Z ) ) ) ) ) ) ] )
% 0.78/1.17 , clause( 5, [ =( inverse( multiply( Y, multiply( X, inverse( multiply(
% 0.78/1.17 multiply( Y, X ), Z ) ) ) ) ), Z ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 paramod(
% 0.78/1.17 clause( 303, [ =( X, inverse( inverse( multiply( multiply( Y, inverse( Y )
% 0.78/1.17 ), X ) ) ) ) ] )
% 0.78/1.17 , clause( 66, [ =( multiply( X, multiply( inverse( X ), Y ) ), Y ) ] )
% 0.78/1.17 , 0, clause( 300, [ =( Z, inverse( multiply( X, multiply( Y, inverse(
% 0.78/1.17 multiply( multiply( X, Y ), Z ) ) ) ) ) ) ] )
% 0.78/1.17 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, inverse( multiply( multiply(
% 0.78/1.17 Y, inverse( Y ) ), X ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y,
% 0.78/1.17 inverse( Y ) ), :=( Z, X )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 paramod(
% 0.78/1.17 clause( 306, [ =( X, multiply( multiply( Y, inverse( Y ) ), X ) ) ] )
% 0.78/1.17 , clause( 38, [ =( inverse( inverse( multiply( X, Y ) ) ), multiply( X, Y )
% 0.78/1.17 ) ] )
% 0.78/1.17 , 0, clause( 303, [ =( X, inverse( inverse( multiply( multiply( Y, inverse(
% 0.78/1.17 Y ) ), X ) ) ) ) ] )
% 0.78/1.17 , 0, 2, substitution( 0, [ :=( X, multiply( Y, inverse( Y ) ) ), :=( Y, X )] )
% 0.78/1.17 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 eqswap(
% 0.78/1.17 clause( 307, [ =( multiply( multiply( Y, inverse( Y ) ), X ), X ) ] )
% 0.78/1.17 , clause( 306, [ =( X, multiply( multiply( Y, inverse( Y ) ), X ) ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 91, [ =( multiply( multiply( X, inverse( X ) ), Y ), Y ) ] )
% 0.78/1.17 , clause( 307, [ =( multiply( multiply( Y, inverse( Y ) ), X ), X ) ] )
% 0.78/1.17 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.17 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 eqswap(
% 0.78/1.17 clause( 308, [ =( Y, multiply( multiply( X, inverse( X ) ), Y ) ) ] )
% 0.78/1.17 , clause( 91, [ =( multiply( multiply( X, inverse( X ) ), Y ), Y ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 paramod(
% 0.78/1.17 clause( 309, [ =( X, multiply( X, multiply( Y, inverse( Y ) ) ) ) ] )
% 0.78/1.17 , clause( 54, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 0.78/1.17 , 0, clause( 308, [ =( Y, multiply( multiply( X, inverse( X ) ), Y ) ) ] )
% 0.78/1.17 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, multiply( Y, inverse( Y ) ) )] )
% 0.78/1.17 , substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 eqswap(
% 0.78/1.17 clause( 313, [ =( multiply( X, multiply( Y, inverse( Y ) ) ), X ) ] )
% 0.78/1.17 , clause( 309, [ =( X, multiply( X, multiply( Y, inverse( Y ) ) ) ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 98, [ =( multiply( Y, multiply( X, inverse( X ) ) ), Y ) ] )
% 0.78/1.17 , clause( 313, [ =( multiply( X, multiply( Y, inverse( Y ) ) ), X ) ] )
% 0.78/1.17 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.17 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 eqswap(
% 0.78/1.17 clause( 317, [ =( X, multiply( X, multiply( Y, inverse( Y ) ) ) ) ] )
% 0.78/1.17 , clause( 98, [ =( multiply( Y, multiply( X, inverse( X ) ) ), Y ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 paramod(
% 0.78/1.17 clause( 319, [ =( X, multiply( X, multiply( inverse( Y ), Y ) ) ) ] )
% 0.78/1.17 , clause( 54, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 0.78/1.17 , 0, clause( 317, [ =( X, multiply( X, multiply( Y, inverse( Y ) ) ) ) ] )
% 0.78/1.17 , 0, 4, substitution( 0, [ :=( X, inverse( Y ) ), :=( Y, Y )] ),
% 0.78/1.17 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 eqswap(
% 0.78/1.17 clause( 325, [ =( multiply( X, multiply( inverse( Y ), Y ) ), X ) ] )
% 0.78/1.17 , clause( 319, [ =( X, multiply( X, multiply( inverse( Y ), Y ) ) ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 99, [ =( multiply( Y, multiply( inverse( X ), X ) ), Y ) ] )
% 0.78/1.17 , clause( 325, [ =( multiply( X, multiply( inverse( Y ), Y ) ), X ) ] )
% 0.78/1.17 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.17 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 eqswap(
% 0.78/1.17 clause( 327, [ =( Y, multiply( inverse( X ), multiply( X, Y ) ) ) ] )
% 0.78/1.17 , clause( 56, [ =( multiply( inverse( X ), multiply( X, Y ) ), Y ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 paramod(
% 0.78/1.17 clause( 331, [ =( multiply( inverse( X ), X ), multiply( inverse( Y ), Y )
% 0.78/1.17 ) ] )
% 0.78/1.17 , clause( 99, [ =( multiply( Y, multiply( inverse( X ), X ) ), Y ) ] )
% 0.78/1.17 , 0, clause( 327, [ =( Y, multiply( inverse( X ), multiply( X, Y ) ) ) ] )
% 0.78/1.17 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.78/1.17 :=( X, Y ), :=( Y, multiply( inverse( X ), X ) )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 100, [ =( multiply( inverse( X ), X ), multiply( inverse( Y ), Y )
% 0.78/1.17 ) ] )
% 0.78/1.17 , clause( 331, [ =( multiply( inverse( X ), X ), multiply( inverse( Y ), Y
% 0.78/1.17 ) ) ] )
% 0.78/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.17 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 eqswap(
% 0.78/1.17 clause( 333, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 )
% 0.78/1.17 , b1 ) ) ) ] )
% 0.78/1.17 , clause( 1, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 )
% 0.78/1.17 , a1 ) ) ) ] )
% 0.78/1.17 , 0, substitution( 0, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 paramod(
% 0.78/1.17 clause( 335, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( X )
% 0.78/1.17 , X ) ) ) ] )
% 0.78/1.17 , clause( 100, [ =( multiply( inverse( X ), X ), multiply( inverse( Y ), Y
% 0.78/1.17 ) ) ] )
% 0.78/1.17 , 0, clause( 333, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse(
% 0.78/1.17 b1 ), b1 ) ) ) ] )
% 0.78/1.17 , 0, 6, substitution( 0, [ :=( X, b1 ), :=( Y, X )] ), substitution( 1, [] )
% 0.78/1.17 ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 paramod(
% 0.78/1.17 clause( 336, [ ~( =( multiply( inverse( Y ), Y ), multiply( inverse( X ), X
% 0.78/1.17 ) ) ) ] )
% 0.78/1.17 , clause( 100, [ =( multiply( inverse( X ), X ), multiply( inverse( Y ), Y
% 0.78/1.17 ) ) ] )
% 0.78/1.17 , 0, clause( 335, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse(
% 0.78/1.17 X ), X ) ) ) ] )
% 0.78/1.17 , 0, 2, substitution( 0, [ :=( X, a1 ), :=( Y, Y )] ), substitution( 1, [
% 0.78/1.17 :=( X, X )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 113, [ ~( =( multiply( inverse( X ), X ), multiply( inverse( a1 ),
% 0.78/1.17 a1 ) ) ) ] )
% 0.78/1.17 , clause( 336, [ ~( =( multiply( inverse( Y ), Y ), multiply( inverse( X )
% 0.78/1.17 , X ) ) ) ] )
% 0.78/1.17 , substitution( 0, [ :=( X, a1 ), :=( Y, X )] ), permutation( 0, [ ==>( 0,
% 0.78/1.17 0 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 eqswap(
% 0.78/1.17 clause( 337, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( X )
% 0.78/1.17 , X ) ) ) ] )
% 0.78/1.17 , clause( 113, [ ~( =( multiply( inverse( X ), X ), multiply( inverse( a1 )
% 0.78/1.17 , a1 ) ) ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, X )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 eqrefl(
% 0.78/1.17 clause( 338, [] )
% 0.78/1.17 , clause( 337, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( X
% 0.78/1.17 ), X ) ) ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, a1 )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 114, [] )
% 0.78/1.17 , clause( 338, [] )
% 0.78/1.17 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 end.
% 0.78/1.17
% 0.78/1.17 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.78/1.17
% 0.78/1.17 Memory use:
% 0.78/1.17
% 0.78/1.17 space for terms: 1380
% 0.78/1.17 space for clauses: 12626
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 clauses generated: 1019
% 0.78/1.17 clauses kept: 115
% 0.78/1.17 clauses selected: 25
% 0.78/1.17 clauses deleted: 4
% 0.78/1.17 clauses inuse deleted: 0
% 0.78/1.17
% 0.78/1.17 subsentry: 988
% 0.78/1.17 literals s-matched: 335
% 0.78/1.17 literals matched: 287
% 0.78/1.17 full subsumption: 0
% 0.78/1.17
% 0.78/1.17 checksum: -1080510427
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 Bliksem ended
%------------------------------------------------------------------------------