TSTP Solution File: GRP511-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP511-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n024.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 07:37:24 EDT 2022
% Result : Unsatisfiable 0.71s 1.09s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP511-1 : TPTP v8.1.0. Released v2.6.0.
% 0.13/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Tue Jun 14 01:36:18 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.71/1.09 *** allocated 10000 integers for termspace/termends
% 0.71/1.09 *** allocated 10000 integers for clauses
% 0.71/1.09 *** allocated 10000 integers for justifications
% 0.71/1.09 Bliksem 1.12
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Automatic Strategy Selection
% 0.71/1.09
% 0.71/1.09 Clauses:
% 0.71/1.09 [
% 0.71/1.09 [ =( multiply( multiply( multiply( X, Y ), Z ), inverse( multiply( X, Z
% 0.71/1.09 ) ) ), Y ) ],
% 0.71/1.09 [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3, multiply( b3,
% 0.71/1.09 c3 ) ) ) ) ]
% 0.71/1.09 ] .
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 percentage equality = 1.000000, percentage horn = 1.000000
% 0.71/1.09 This is a pure equality problem
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Options Used:
% 0.71/1.09
% 0.71/1.09 useres = 1
% 0.71/1.09 useparamod = 1
% 0.71/1.09 useeqrefl = 1
% 0.71/1.09 useeqfact = 1
% 0.71/1.09 usefactor = 1
% 0.71/1.09 usesimpsplitting = 0
% 0.71/1.09 usesimpdemod = 5
% 0.71/1.09 usesimpres = 3
% 0.71/1.09
% 0.71/1.09 resimpinuse = 1000
% 0.71/1.09 resimpclauses = 20000
% 0.71/1.09 substype = eqrewr
% 0.71/1.09 backwardsubs = 1
% 0.71/1.09 selectoldest = 5
% 0.71/1.09
% 0.71/1.09 litorderings [0] = split
% 0.71/1.09 litorderings [1] = extend the termordering, first sorting on arguments
% 0.71/1.09
% 0.71/1.09 termordering = kbo
% 0.71/1.09
% 0.71/1.09 litapriori = 0
% 0.71/1.09 termapriori = 1
% 0.71/1.09 litaposteriori = 0
% 0.71/1.09 termaposteriori = 0
% 0.71/1.09 demodaposteriori = 0
% 0.71/1.09 ordereqreflfact = 0
% 0.71/1.09
% 0.71/1.09 litselect = negord
% 0.71/1.09
% 0.71/1.09 maxweight = 15
% 0.71/1.09 maxdepth = 30000
% 0.71/1.09 maxlength = 115
% 0.71/1.09 maxnrvars = 195
% 0.71/1.09 excuselevel = 1
% 0.71/1.09 increasemaxweight = 1
% 0.71/1.09
% 0.71/1.09 maxselected = 10000000
% 0.71/1.09 maxnrclauses = 10000000
% 0.71/1.09
% 0.71/1.09 showgenerated = 0
% 0.71/1.09 showkept = 0
% 0.71/1.09 showselected = 0
% 0.71/1.09 showdeleted = 0
% 0.71/1.09 showresimp = 1
% 0.71/1.09 showstatus = 2000
% 0.71/1.09
% 0.71/1.09 prologoutput = 1
% 0.71/1.09 nrgoals = 5000000
% 0.71/1.09 totalproof = 1
% 0.71/1.09
% 0.71/1.09 Symbols occurring in the translation:
% 0.71/1.09
% 0.71/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.09 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.71/1.09 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.71/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.09 multiply [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.71/1.09 inverse [43, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.71/1.09 a3 [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.71/1.09 b3 [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.71/1.09 c3 [46, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Starting Search:
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Bliksems!, er is een bewijs:
% 0.71/1.09 % SZS status Unsatisfiable
% 0.71/1.09 % SZS output start Refutation
% 0.71/1.09
% 0.71/1.09 clause( 0, [ =( multiply( multiply( multiply( X, Y ), Z ), inverse(
% 0.71/1.09 multiply( X, Z ) ) ), Y ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 1, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.71/1.09 a3, b3 ), c3 ) ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 2, [ =( multiply( Y, inverse( multiply( multiply( X, Y ), inverse(
% 0.71/1.09 multiply( X, Z ) ) ) ) ), Z ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 3, [ =( multiply( multiply( Y, T ), inverse( multiply( multiply(
% 0.71/1.09 multiply( X, Y ), Z ), T ) ) ), inverse( multiply( X, Z ) ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 4, [ =( multiply( multiply( multiply( multiply( multiply( X, Y ), Z
% 0.71/1.09 ), T ), inverse( multiply( X, Z ) ) ), inverse( Y ) ), T ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 5, [ =( inverse( multiply( Y, multiply( X, inverse( multiply(
% 0.71/1.09 multiply( Y, X ), Z ) ) ) ) ), Z ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 9, [ =( multiply( multiply( T, inverse( Y ) ), inverse( T ) ),
% 0.71/1.09 inverse( Y ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 10, [ =( multiply( inverse( Y ), inverse( multiply( X, inverse( Y )
% 0.71/1.09 ) ) ), inverse( X ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 11, [ =( multiply( inverse( X ), inverse( Y ) ), inverse( multiply(
% 0.71/1.09 X, Y ) ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 13, [ =( multiply( multiply( T, Z ), inverse( T ) ), Z ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 14, [ =( inverse( multiply( multiply( Y, X ), inverse( multiply( Y
% 0.71/1.09 , Z ) ) ) ), multiply( Z, inverse( X ) ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 18, [ =( multiply( Y, inverse( multiply( multiply( X, Y ), Z ) ) )
% 0.71/1.09 , inverse( multiply( X, Z ) ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 19, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X ) )
% 0.71/1.09 ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 30, [ =( multiply( inverse( multiply( X, Z ) ), Z ), inverse( X ) )
% 0.71/1.09 ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 31, [ =( multiply( Y, inverse( inverse( X ) ) ), multiply( X, Y ) )
% 0.71/1.09 ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 38, [ =( inverse( inverse( multiply( X, Y ) ) ), multiply( X, Y ) )
% 0.71/1.09 ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 40, [ =( inverse( multiply( Y, X ) ), inverse( multiply( X, Y ) ) )
% 0.71/1.09 ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 46, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X ) )
% 0.71/1.09 ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 50, [ =( inverse( inverse( Z ) ), Z ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 54, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 59, [ =( multiply( multiply( Z, inverse( X ) ), X ), Z ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 110, [ =( multiply( Y, multiply( X, Z ) ), multiply( multiply( X, Y
% 0.71/1.09 ), Z ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 128, [ =( multiply( multiply( Y, Z ), X ), multiply( multiply( X, Z
% 0.71/1.09 ), Y ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 131, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( multiply(
% 0.71/1.09 b3, a3 ), c3 ) ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 138, [ =( multiply( multiply( Z, Y ), X ), multiply( multiply( X, Z
% 0.71/1.09 ), Y ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 145, [ =( multiply( multiply( Y, Z ), X ), multiply( multiply( Z, Y
% 0.71/1.09 ), X ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 156, [] )
% 0.71/1.09 .
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 % SZS output end Refutation
% 0.71/1.09 found a proof!
% 0.71/1.09
% 0.71/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.09
% 0.71/1.09 initialclauses(
% 0.71/1.09 [ clause( 158, [ =( multiply( multiply( multiply( X, Y ), Z ), inverse(
% 0.71/1.09 multiply( X, Z ) ) ), Y ) ] )
% 0.71/1.09 , clause( 159, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3,
% 0.71/1.09 multiply( b3, c3 ) ) ) ) ] )
% 0.71/1.09 ] ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 0, [ =( multiply( multiply( multiply( X, Y ), Z ), inverse(
% 0.71/1.09 multiply( X, Z ) ) ), Y ) ] )
% 0.71/1.09 , clause( 158, [ =( multiply( multiply( multiply( X, Y ), Z ), inverse(
% 0.71/1.09 multiply( X, Z ) ) ), Y ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 162, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.71/1.09 a3, b3 ), c3 ) ) ) ] )
% 0.71/1.09 , clause( 159, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3,
% 0.71/1.09 multiply( b3, c3 ) ) ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 1, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.71/1.09 a3, b3 ), c3 ) ) ) ] )
% 0.71/1.09 , clause( 162, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 0.71/1.09 multiply( a3, b3 ), c3 ) ) ) ] )
% 0.71/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 163, [ =( Y, multiply( multiply( multiply( X, Y ), Z ), inverse(
% 0.71/1.09 multiply( X, Z ) ) ) ) ] )
% 0.71/1.09 , clause( 0, [ =( multiply( multiply( multiply( X, Y ), Z ), inverse(
% 0.71/1.09 multiply( X, Z ) ) ), Y ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 166, [ =( X, multiply( Z, inverse( multiply( multiply( Y, Z ),
% 0.71/1.09 inverse( multiply( Y, X ) ) ) ) ) ) ] )
% 0.71/1.09 , clause( 0, [ =( multiply( multiply( multiply( X, Y ), Z ), inverse(
% 0.71/1.09 multiply( X, Z ) ) ), Y ) ] )
% 0.71/1.09 , 0, clause( 163, [ =( Y, multiply( multiply( multiply( X, Y ), Z ),
% 0.71/1.09 inverse( multiply( X, Z ) ) ) ) ] )
% 0.71/1.09 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.71/1.09 substitution( 1, [ :=( X, multiply( Y, Z ) ), :=( Y, X ), :=( Z, inverse(
% 0.71/1.09 multiply( Y, X ) ) )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 169, [ =( multiply( Y, inverse( multiply( multiply( Z, Y ), inverse(
% 0.71/1.09 multiply( Z, X ) ) ) ) ), X ) ] )
% 0.71/1.09 , clause( 166, [ =( X, multiply( Z, inverse( multiply( multiply( Y, Z ),
% 0.71/1.09 inverse( multiply( Y, X ) ) ) ) ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 2, [ =( multiply( Y, inverse( multiply( multiply( X, Y ), inverse(
% 0.71/1.09 multiply( X, Z ) ) ) ) ), Z ) ] )
% 0.71/1.09 , clause( 169, [ =( multiply( Y, inverse( multiply( multiply( Z, Y ),
% 0.71/1.09 inverse( multiply( Z, X ) ) ) ) ), X ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.71/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 172, [ =( Y, multiply( multiply( multiply( X, Y ), Z ), inverse(
% 0.71/1.09 multiply( X, Z ) ) ) ) ] )
% 0.71/1.09 , clause( 0, [ =( multiply( multiply( multiply( X, Y ), Z ), inverse(
% 0.71/1.09 multiply( X, Z ) ) ), Y ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 176, [ =( inverse( multiply( X, Y ) ), multiply( multiply( Z, T ),
% 0.71/1.09 inverse( multiply( multiply( multiply( X, Z ), Y ), T ) ) ) ) ] )
% 0.71/1.09 , clause( 0, [ =( multiply( multiply( multiply( X, Y ), Z ), inverse(
% 0.71/1.09 multiply( X, Z ) ) ), Y ) ] )
% 0.71/1.09 , 0, clause( 172, [ =( Y, multiply( multiply( multiply( X, Y ), Z ),
% 0.71/1.09 inverse( multiply( X, Z ) ) ) ) ] )
% 0.71/1.09 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.71/1.09 substitution( 1, [ :=( X, multiply( multiply( X, Z ), Y ) ), :=( Y,
% 0.71/1.09 inverse( multiply( X, Y ) ) ), :=( Z, T )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 179, [ =( multiply( multiply( Z, T ), inverse( multiply( multiply(
% 0.71/1.09 multiply( X, Z ), Y ), T ) ) ), inverse( multiply( X, Y ) ) ) ] )
% 0.71/1.09 , clause( 176, [ =( inverse( multiply( X, Y ) ), multiply( multiply( Z, T )
% 0.71/1.09 , inverse( multiply( multiply( multiply( X, Z ), Y ), T ) ) ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.71/1.09 ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 3, [ =( multiply( multiply( Y, T ), inverse( multiply( multiply(
% 0.71/1.09 multiply( X, Y ), Z ), T ) ) ), inverse( multiply( X, Z ) ) ) ] )
% 0.71/1.09 , clause( 179, [ =( multiply( multiply( Z, T ), inverse( multiply( multiply(
% 0.71/1.09 multiply( X, Z ), Y ), T ) ) ), inverse( multiply( X, Y ) ) ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y ), :=( T, T )] ),
% 0.71/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 181, [ =( Y, multiply( multiply( multiply( X, Y ), Z ), inverse(
% 0.71/1.09 multiply( X, Z ) ) ) ) ] )
% 0.71/1.09 , clause( 0, [ =( multiply( multiply( multiply( X, Y ), Z ), inverse(
% 0.71/1.09 multiply( X, Z ) ) ), Y ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 186, [ =( X, multiply( multiply( multiply( multiply( multiply( Y, Z
% 0.71/1.09 ), T ), X ), inverse( multiply( Y, T ) ) ), inverse( Z ) ) ) ] )
% 0.71/1.09 , clause( 0, [ =( multiply( multiply( multiply( X, Y ), Z ), inverse(
% 0.71/1.09 multiply( X, Z ) ) ), Y ) ] )
% 0.71/1.09 , 0, clause( 181, [ =( Y, multiply( multiply( multiply( X, Y ), Z ),
% 0.71/1.09 inverse( multiply( X, Z ) ) ) ) ] )
% 0.71/1.09 , 0, 16, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T )] ),
% 0.71/1.09 substitution( 1, [ :=( X, multiply( multiply( Y, Z ), T ) ), :=( Y, X ),
% 0.71/1.09 :=( Z, inverse( multiply( Y, T ) ) )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 189, [ =( multiply( multiply( multiply( multiply( multiply( Y, Z )
% 0.71/1.09 , T ), X ), inverse( multiply( Y, T ) ) ), inverse( Z ) ), X ) ] )
% 0.71/1.09 , clause( 186, [ =( X, multiply( multiply( multiply( multiply( multiply( Y
% 0.71/1.09 , Z ), T ), X ), inverse( multiply( Y, T ) ) ), inverse( Z ) ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.71/1.09 ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 4, [ =( multiply( multiply( multiply( multiply( multiply( X, Y ), Z
% 0.71/1.09 ), T ), inverse( multiply( X, Z ) ) ), inverse( Y ) ), T ) ] )
% 0.71/1.09 , clause( 189, [ =( multiply( multiply( multiply( multiply( multiply( Y, Z
% 0.71/1.09 ), T ), X ), inverse( multiply( Y, T ) ) ), inverse( Z ) ), X ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] ),
% 0.71/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 190, [ =( inverse( multiply( Z, T ) ), multiply( multiply( X, Y ),
% 0.71/1.09 inverse( multiply( multiply( multiply( Z, X ), T ), Y ) ) ) ) ] )
% 0.71/1.09 , clause( 3, [ =( multiply( multiply( Y, T ), inverse( multiply( multiply(
% 0.71/1.09 multiply( X, Y ), Z ), T ) ) ), inverse( multiply( X, Z ) ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, T ), :=( T, Y )] )
% 0.71/1.09 ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 193, [ =( inverse( multiply( X, multiply( Y, inverse( multiply(
% 0.71/1.09 multiply( X, Y ), Z ) ) ) ) ), Z ) ] )
% 0.71/1.09 , clause( 2, [ =( multiply( Y, inverse( multiply( multiply( X, Y ), inverse(
% 0.71/1.09 multiply( X, Z ) ) ) ) ), Z ) ] )
% 0.71/1.09 , 0, clause( 190, [ =( inverse( multiply( Z, T ) ), multiply( multiply( X,
% 0.71/1.09 Y ), inverse( multiply( multiply( multiply( Z, X ), T ), Y ) ) ) ) ] )
% 0.71/1.09 , 0, 12, substitution( 0, [ :=( X, multiply( X, Y ) ), :=( Y, multiply( Y,
% 0.71/1.09 inverse( multiply( multiply( X, Y ), Z ) ) ) ), :=( Z, Z )] ),
% 0.71/1.09 substitution( 1, [ :=( X, Y ), :=( Y, inverse( multiply( multiply( X, Y )
% 0.71/1.09 , Z ) ) ), :=( Z, X ), :=( T, multiply( Y, inverse( multiply( multiply( X
% 0.71/1.09 , Y ), Z ) ) ) )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 5, [ =( inverse( multiply( Y, multiply( X, inverse( multiply(
% 0.71/1.09 multiply( Y, X ), Z ) ) ) ) ), Z ) ] )
% 0.71/1.09 , clause( 193, [ =( inverse( multiply( X, multiply( Y, inverse( multiply(
% 0.71/1.09 multiply( X, Y ), Z ) ) ) ) ), Z ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.71/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 205, [ =( inverse( multiply( Z, T ) ), multiply( multiply( X, Y ),
% 0.71/1.09 inverse( multiply( multiply( multiply( Z, X ), T ), Y ) ) ) ) ] )
% 0.71/1.09 , clause( 3, [ =( multiply( multiply( Y, T ), inverse( multiply( multiply(
% 0.71/1.09 multiply( X, Y ), Z ), T ) ) ), inverse( multiply( X, Z ) ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, T ), :=( T, Y )] )
% 0.71/1.09 ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 213, [ =( inverse( multiply( multiply( multiply( X, Y ), Z ),
% 0.71/1.09 inverse( multiply( X, Z ) ) ) ), multiply( multiply( T, inverse( Y ) ),
% 0.71/1.09 inverse( T ) ) ) ] )
% 0.71/1.09 , clause( 4, [ =( multiply( multiply( multiply( multiply( multiply( X, Y )
% 0.71/1.09 , Z ), T ), inverse( multiply( X, Z ) ) ), inverse( Y ) ), T ) ] )
% 0.71/1.09 , 0, clause( 205, [ =( inverse( multiply( Z, T ) ), multiply( multiply( X,
% 0.71/1.09 Y ), inverse( multiply( multiply( multiply( Z, X ), T ), Y ) ) ) ) ] )
% 0.71/1.09 , 0, 18, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.71/1.09 , substitution( 1, [ :=( X, T ), :=( Y, inverse( Y ) ), :=( Z, multiply(
% 0.71/1.09 multiply( X, Y ), Z ) ), :=( T, inverse( multiply( X, Z ) ) )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 216, [ =( inverse( Y ), multiply( multiply( T, inverse( Y ) ),
% 0.71/1.09 inverse( T ) ) ) ] )
% 0.71/1.09 , clause( 0, [ =( multiply( multiply( multiply( X, Y ), Z ), inverse(
% 0.71/1.09 multiply( X, Z ) ) ), Y ) ] )
% 0.71/1.09 , 0, clause( 213, [ =( inverse( multiply( multiply( multiply( X, Y ), Z ),
% 0.71/1.09 inverse( multiply( X, Z ) ) ) ), multiply( multiply( T, inverse( Y ) ),
% 0.71/1.09 inverse( T ) ) ) ] )
% 0.71/1.09 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.09 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 217, [ =( multiply( multiply( Y, inverse( X ) ), inverse( Y ) ),
% 0.71/1.09 inverse( X ) ) ] )
% 0.71/1.09 , clause( 216, [ =( inverse( Y ), multiply( multiply( T, inverse( Y ) ),
% 0.71/1.09 inverse( T ) ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, T ), :=( T, Y )] )
% 0.71/1.09 ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 9, [ =( multiply( multiply( T, inverse( Y ) ), inverse( T ) ),
% 0.71/1.09 inverse( Y ) ) ] )
% 0.71/1.09 , clause( 217, [ =( multiply( multiply( Y, inverse( X ) ), inverse( Y ) ),
% 0.71/1.09 inverse( X ) ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, T )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.09 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 218, [ =( inverse( Y ), multiply( multiply( X, inverse( Y ) ),
% 0.71/1.09 inverse( X ) ) ) ] )
% 0.71/1.09 , clause( 9, [ =( multiply( multiply( T, inverse( Y ) ), inverse( T ) ),
% 0.71/1.09 inverse( Y ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, T ), :=( T, X )] )
% 0.71/1.09 ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 221, [ =( inverse( X ), multiply( inverse( Y ), inverse( multiply(
% 0.71/1.09 X, inverse( Y ) ) ) ) ) ] )
% 0.71/1.09 , clause( 9, [ =( multiply( multiply( T, inverse( Y ) ), inverse( T ) ),
% 0.71/1.09 inverse( Y ) ) ] )
% 0.71/1.09 , 0, clause( 218, [ =( inverse( Y ), multiply( multiply( X, inverse( Y ) )
% 0.71/1.09 , inverse( X ) ) ) ] )
% 0.71/1.09 , 0, 4, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, T ), :=( T, X )] )
% 0.71/1.09 , substitution( 1, [ :=( X, multiply( X, inverse( Y ) ) ), :=( Y, X )] )
% 0.71/1.09 ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 222, [ =( multiply( inverse( Y ), inverse( multiply( X, inverse( Y
% 0.71/1.09 ) ) ) ), inverse( X ) ) ] )
% 0.71/1.09 , clause( 221, [ =( inverse( X ), multiply( inverse( Y ), inverse( multiply(
% 0.71/1.09 X, inverse( Y ) ) ) ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 10, [ =( multiply( inverse( Y ), inverse( multiply( X, inverse( Y )
% 0.71/1.09 ) ) ), inverse( X ) ) ] )
% 0.71/1.09 , clause( 222, [ =( multiply( inverse( Y ), inverse( multiply( X, inverse(
% 0.71/1.09 Y ) ) ) ), inverse( X ) ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.09 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 224, [ =( T, multiply( multiply( multiply( multiply( multiply( X, Y
% 0.71/1.09 ), Z ), T ), inverse( multiply( X, Z ) ) ), inverse( Y ) ) ) ] )
% 0.71/1.09 , clause( 4, [ =( multiply( multiply( multiply( multiply( multiply( X, Y )
% 0.71/1.09 , Z ), T ), inverse( multiply( X, Z ) ) ), inverse( Y ) ), T ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.71/1.09 ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 227, [ =( inverse( multiply( X, Y ) ), multiply( multiply( inverse(
% 0.71/1.09 Z ), inverse( multiply( X, inverse( Z ) ) ) ), inverse( Y ) ) ) ] )
% 0.71/1.09 , clause( 9, [ =( multiply( multiply( T, inverse( Y ) ), inverse( T ) ),
% 0.71/1.09 inverse( Y ) ) ] )
% 0.71/1.09 , 0, clause( 224, [ =( T, multiply( multiply( multiply( multiply( multiply(
% 0.71/1.09 X, Y ), Z ), T ), inverse( multiply( X, Z ) ) ), inverse( Y ) ) ) ] )
% 0.71/1.09 , 0, 7, substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, U ), :=( T,
% 0.71/1.09 multiply( X, Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z,
% 0.71/1.09 inverse( Z ) ), :=( T, inverse( multiply( X, Y ) ) )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 231, [ =( inverse( multiply( X, Y ) ), multiply( inverse( X ),
% 0.71/1.09 inverse( Y ) ) ) ] )
% 0.71/1.09 , clause( 10, [ =( multiply( inverse( Y ), inverse( multiply( X, inverse( Y
% 0.71/1.09 ) ) ) ), inverse( X ) ) ] )
% 0.71/1.09 , 0, clause( 227, [ =( inverse( multiply( X, Y ) ), multiply( multiply(
% 0.71/1.09 inverse( Z ), inverse( multiply( X, inverse( Z ) ) ) ), inverse( Y ) ) )
% 0.71/1.09 ] )
% 0.71/1.09 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [
% 0.71/1.09 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 232, [ =( multiply( inverse( X ), inverse( Y ) ), inverse( multiply(
% 0.71/1.09 X, Y ) ) ) ] )
% 0.71/1.09 , clause( 231, [ =( inverse( multiply( X, Y ) ), multiply( inverse( X ),
% 0.71/1.09 inverse( Y ) ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 11, [ =( multiply( inverse( X ), inverse( Y ) ), inverse( multiply(
% 0.71/1.09 X, Y ) ) ) ] )
% 0.71/1.09 , clause( 232, [ =( multiply( inverse( X ), inverse( Y ) ), inverse(
% 0.71/1.09 multiply( X, Y ) ) ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.09 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 234, [ =( inverse( Y ), multiply( multiply( X, inverse( Y ) ),
% 0.71/1.09 inverse( X ) ) ) ] )
% 0.71/1.09 , clause( 9, [ =( multiply( multiply( T, inverse( Y ) ), inverse( T ) ),
% 0.71/1.09 inverse( Y ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, T ), :=( T, X )] )
% 0.71/1.09 ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 240, [ =( inverse( multiply( X, multiply( Y, inverse( multiply(
% 0.71/1.09 multiply( X, Y ), Z ) ) ) ) ), multiply( multiply( T, Z ), inverse( T ) )
% 0.71/1.09 ) ] )
% 0.71/1.09 , clause( 5, [ =( inverse( multiply( Y, multiply( X, inverse( multiply(
% 0.71/1.09 multiply( Y, X ), Z ) ) ) ) ), Z ) ] )
% 0.71/1.09 , 0, clause( 234, [ =( inverse( Y ), multiply( multiply( X, inverse( Y ) )
% 0.71/1.09 , inverse( X ) ) ) ] )
% 0.71/1.09 , 0, 15, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.71/1.09 substitution( 1, [ :=( X, T ), :=( Y, multiply( X, multiply( Y, inverse(
% 0.71/1.09 multiply( multiply( X, Y ), Z ) ) ) ) )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 242, [ =( Z, multiply( multiply( T, Z ), inverse( T ) ) ) ] )
% 0.71/1.09 , clause( 5, [ =( inverse( multiply( Y, multiply( X, inverse( multiply(
% 0.71/1.09 multiply( Y, X ), Z ) ) ) ) ), Z ) ] )
% 0.71/1.09 , 0, clause( 240, [ =( inverse( multiply( X, multiply( Y, inverse( multiply(
% 0.71/1.09 multiply( X, Y ), Z ) ) ) ) ), multiply( multiply( T, Z ), inverse( T ) )
% 0.71/1.09 ) ] )
% 0.71/1.09 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.71/1.09 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 244, [ =( multiply( multiply( Y, X ), inverse( Y ) ), X ) ] )
% 0.71/1.09 , clause( 242, [ =( Z, multiply( multiply( T, Z ), inverse( T ) ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, X ), :=( T, Y )] )
% 0.71/1.09 ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 13, [ =( multiply( multiply( T, Z ), inverse( T ) ), Z ) ] )
% 0.71/1.09 , clause( 244, [ =( multiply( multiply( Y, X ), inverse( Y ) ), X ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, Z ), :=( Y, T )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.09 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 248, [ =( inverse( Y ), multiply( multiply( X, inverse( Y ) ),
% 0.71/1.09 inverse( X ) ) ) ] )
% 0.71/1.09 , clause( 9, [ =( multiply( multiply( T, inverse( Y ) ), inverse( T ) ),
% 0.71/1.09 inverse( Y ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, T ), :=( T, X )] )
% 0.71/1.09 ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 253, [ =( inverse( multiply( multiply( X, Y ), inverse( multiply( X
% 0.71/1.09 , Z ) ) ) ), multiply( Z, inverse( Y ) ) ) ] )
% 0.71/1.09 , clause( 2, [ =( multiply( Y, inverse( multiply( multiply( X, Y ), inverse(
% 0.71/1.09 multiply( X, Z ) ) ) ) ), Z ) ] )
% 0.71/1.09 , 0, clause( 248, [ =( inverse( Y ), multiply( multiply( X, inverse( Y ) )
% 0.71/1.09 , inverse( X ) ) ) ] )
% 0.71/1.09 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.09 substitution( 1, [ :=( X, Y ), :=( Y, multiply( multiply( X, Y ), inverse(
% 0.71/1.09 multiply( X, Z ) ) ) )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 14, [ =( inverse( multiply( multiply( Y, X ), inverse( multiply( Y
% 0.71/1.09 , Z ) ) ) ), multiply( Z, inverse( X ) ) ) ] )
% 0.71/1.09 , clause( 253, [ =( inverse( multiply( multiply( X, Y ), inverse( multiply(
% 0.71/1.09 X, Z ) ) ) ), multiply( Z, inverse( Y ) ) ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.71/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 256, [ =( inverse( Y ), multiply( multiply( X, inverse( Y ) ),
% 0.71/1.09 inverse( X ) ) ) ] )
% 0.71/1.09 , clause( 9, [ =( multiply( multiply( T, inverse( Y ) ), inverse( T ) ),
% 0.71/1.09 inverse( Y ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, T ), :=( T, X )] )
% 0.71/1.09 ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 265, [ =( inverse( multiply( X, Y ) ), multiply( Z, inverse(
% 0.71/1.09 multiply( multiply( X, Z ), Y ) ) ) ) ] )
% 0.71/1.09 , clause( 0, [ =( multiply( multiply( multiply( X, Y ), Z ), inverse(
% 0.71/1.09 multiply( X, Z ) ) ), Y ) ] )
% 0.71/1.09 , 0, clause( 256, [ =( inverse( Y ), multiply( multiply( X, inverse( Y ) )
% 0.71/1.09 , inverse( X ) ) ) ] )
% 0.71/1.09 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.71/1.09 substitution( 1, [ :=( X, multiply( multiply( X, Z ), Y ) ), :=( Y,
% 0.71/1.09 multiply( X, Y ) )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 266, [ =( multiply( Z, inverse( multiply( multiply( X, Z ), Y ) ) )
% 0.71/1.09 , inverse( multiply( X, Y ) ) ) ] )
% 0.71/1.09 , clause( 265, [ =( inverse( multiply( X, Y ) ), multiply( Z, inverse(
% 0.71/1.09 multiply( multiply( X, Z ), Y ) ) ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 18, [ =( multiply( Y, inverse( multiply( multiply( X, Y ), Z ) ) )
% 0.71/1.09 , inverse( multiply( X, Z ) ) ) ] )
% 0.71/1.09 , clause( 266, [ =( multiply( Z, inverse( multiply( multiply( X, Z ), Y ) )
% 0.71/1.09 ), inverse( multiply( X, Y ) ) ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.71/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 267, [ =( Y, multiply( multiply( X, Y ), inverse( X ) ) ) ] )
% 0.71/1.09 , clause( 13, [ =( multiply( multiply( T, Z ), inverse( T ) ), Z ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, Y ), :=( T, X )] )
% 0.71/1.09 ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 270, [ =( inverse( X ), multiply( Y, inverse( multiply( X, Y ) ) )
% 0.71/1.09 ) ] )
% 0.71/1.09 , clause( 13, [ =( multiply( multiply( T, Z ), inverse( T ) ), Z ) ] )
% 0.71/1.09 , 0, clause( 267, [ =( Y, multiply( multiply( X, Y ), inverse( X ) ) ) ] )
% 0.71/1.09 , 0, 4, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, Y ), :=( T, X )] )
% 0.71/1.09 , substitution( 1, [ :=( X, multiply( X, Y ) ), :=( Y, inverse( X ) )] )
% 0.71/1.09 ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 271, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 0.71/1.09 ) ] )
% 0.71/1.09 , clause( 270, [ =( inverse( X ), multiply( Y, inverse( multiply( X, Y ) )
% 0.71/1.09 ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 19, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X ) )
% 0.71/1.09 ] )
% 0.71/1.09 , clause( 271, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 0.71/1.09 ) ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.09 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 273, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) ) )
% 0.71/1.09 ) ] )
% 0.71/1.09 , clause( 19, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 0.71/1.09 ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 279, [ =( inverse( X ), multiply( multiply( Y, inverse( multiply(
% 0.71/1.09 multiply( X, Y ), Z ) ) ), Z ) ) ] )
% 0.71/1.09 , clause( 5, [ =( inverse( multiply( Y, multiply( X, inverse( multiply(
% 0.71/1.09 multiply( Y, X ), Z ) ) ) ) ), Z ) ] )
% 0.71/1.09 , 0, clause( 273, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X )
% 0.71/1.09 ) ) ) ] )
% 0.71/1.09 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.71/1.09 substitution( 1, [ :=( X, multiply( Y, inverse( multiply( multiply( X, Y
% 0.71/1.09 ), Z ) ) ) ), :=( Y, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 280, [ =( inverse( X ), multiply( inverse( multiply( X, Z ) ), Z )
% 0.71/1.09 ) ] )
% 0.71/1.09 , clause( 18, [ =( multiply( Y, inverse( multiply( multiply( X, Y ), Z ) )
% 0.71/1.09 ), inverse( multiply( X, Z ) ) ) ] )
% 0.71/1.09 , 0, clause( 279, [ =( inverse( X ), multiply( multiply( Y, inverse(
% 0.71/1.09 multiply( multiply( X, Y ), Z ) ) ), Z ) ) ] )
% 0.71/1.09 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.09 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 281, [ =( multiply( inverse( multiply( X, Y ) ), Y ), inverse( X )
% 0.71/1.09 ) ] )
% 0.71/1.09 , clause( 280, [ =( inverse( X ), multiply( inverse( multiply( X, Z ) ), Z
% 0.71/1.09 ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 30, [ =( multiply( inverse( multiply( X, Z ) ), Z ), inverse( X ) )
% 0.71/1.09 ] )
% 0.71/1.09 , clause( 281, [ =( multiply( inverse( multiply( X, Y ) ), Y ), inverse( X
% 0.71/1.09 ) ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Z )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.09 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 283, [ =( Z, multiply( X, inverse( multiply( multiply( Y, X ),
% 0.71/1.09 inverse( multiply( Y, Z ) ) ) ) ) ) ] )
% 0.71/1.09 , clause( 2, [ =( multiply( Y, inverse( multiply( multiply( X, Y ), inverse(
% 0.71/1.09 multiply( X, Z ) ) ) ) ), Z ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 289, [ =( multiply( X, Y ), multiply( Y, inverse( inverse( X ) ) )
% 0.71/1.09 ) ] )
% 0.71/1.09 , clause( 19, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 0.71/1.09 ) ] )
% 0.71/1.09 , 0, clause( 283, [ =( Z, multiply( X, inverse( multiply( multiply( Y, X )
% 0.71/1.09 , inverse( multiply( Y, Z ) ) ) ) ) ) ] )
% 0.71/1.09 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, multiply( X, Y ) )] ),
% 0.71/1.09 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, multiply( X, Y ) )] )
% 0.71/1.09 ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 293, [ =( multiply( Y, inverse( inverse( X ) ) ), multiply( X, Y )
% 0.71/1.09 ) ] )
% 0.71/1.09 , clause( 289, [ =( multiply( X, Y ), multiply( Y, inverse( inverse( X ) )
% 0.71/1.09 ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 31, [ =( multiply( Y, inverse( inverse( X ) ) ), multiply( X, Y ) )
% 0.71/1.09 ] )
% 0.71/1.09 , clause( 293, [ =( multiply( Y, inverse( inverse( X ) ) ), multiply( X, Y
% 0.71/1.09 ) ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.09 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 297, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) ) )
% 0.71/1.09 ) ] )
% 0.71/1.09 , clause( 19, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 0.71/1.09 ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 300, [ =( inverse( inverse( multiply( X, Y ) ) ), multiply( Y,
% 0.71/1.09 inverse( inverse( X ) ) ) ) ] )
% 0.71/1.09 , clause( 30, [ =( multiply( inverse( multiply( X, Z ) ), Z ), inverse( X )
% 0.71/1.09 ) ] )
% 0.71/1.09 , 0, clause( 297, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X )
% 0.71/1.09 ) ) ) ] )
% 0.71/1.09 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.71/1.09 substitution( 1, [ :=( X, Y ), :=( Y, inverse( multiply( X, Y ) ) )] )
% 0.71/1.09 ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 301, [ =( inverse( inverse( multiply( X, Y ) ) ), multiply( X, Y )
% 0.71/1.09 ) ] )
% 0.71/1.09 , clause( 31, [ =( multiply( Y, inverse( inverse( X ) ) ), multiply( X, Y )
% 0.71/1.09 ) ] )
% 0.71/1.09 , 0, clause( 300, [ =( inverse( inverse( multiply( X, Y ) ) ), multiply( Y
% 0.71/1.09 , inverse( inverse( X ) ) ) ) ] )
% 0.71/1.09 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.71/1.09 :=( X, X ), :=( Y, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 38, [ =( inverse( inverse( multiply( X, Y ) ) ), multiply( X, Y ) )
% 0.71/1.09 ] )
% 0.71/1.09 , clause( 301, [ =( inverse( inverse( multiply( X, Y ) ) ), multiply( X, Y
% 0.71/1.09 ) ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.09 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 304, [ =( inverse( X ), multiply( inverse( multiply( X, Y ) ), Y )
% 0.71/1.09 ) ] )
% 0.71/1.09 , clause( 30, [ =( multiply( inverse( multiply( X, Z ) ), Z ), inverse( X )
% 0.71/1.09 ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 309, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ),
% 0.71/1.09 inverse( X ) ) ) ] )
% 0.71/1.09 , clause( 13, [ =( multiply( multiply( T, Z ), inverse( T ) ), Z ) ] )
% 0.71/1.09 , 0, clause( 304, [ =( inverse( X ), multiply( inverse( multiply( X, Y ) )
% 0.71/1.09 , Y ) ) ] )
% 0.71/1.09 , 0, 7, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, Y ), :=( T, X )] )
% 0.71/1.09 , substitution( 1, [ :=( X, multiply( X, Y ) ), :=( Y, inverse( X ) )] )
% 0.71/1.09 ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 310, [ =( inverse( multiply( X, Y ) ), inverse( multiply( Y, X ) )
% 0.71/1.09 ) ] )
% 0.71/1.09 , clause( 11, [ =( multiply( inverse( X ), inverse( Y ) ), inverse(
% 0.71/1.09 multiply( X, Y ) ) ) ] )
% 0.71/1.09 , 0, clause( 309, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y )
% 0.71/1.09 , inverse( X ) ) ) ] )
% 0.71/1.09 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.71/1.09 :=( X, X ), :=( Y, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 40, [ =( inverse( multiply( Y, X ) ), inverse( multiply( X, Y ) ) )
% 0.71/1.09 ] )
% 0.71/1.09 , clause( 310, [ =( inverse( multiply( X, Y ) ), inverse( multiply( Y, X )
% 0.71/1.09 ) ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.09 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 311, [ =( inverse( X ), multiply( inverse( multiply( X, Y ) ), Y )
% 0.71/1.09 ) ] )
% 0.71/1.09 , clause( 30, [ =( multiply( inverse( multiply( X, Z ) ), Z ), inverse( X )
% 0.71/1.09 ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 313, [ =( inverse( X ), multiply( inverse( multiply( Y, X ) ), Y )
% 0.71/1.09 ) ] )
% 0.71/1.09 , clause( 40, [ =( inverse( multiply( Y, X ) ), inverse( multiply( X, Y ) )
% 0.71/1.09 ) ] )
% 0.71/1.09 , 0, clause( 311, [ =( inverse( X ), multiply( inverse( multiply( X, Y ) )
% 0.71/1.09 , Y ) ) ] )
% 0.71/1.09 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.71/1.09 :=( X, X ), :=( Y, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 319, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X )
% 0.71/1.09 ) ] )
% 0.71/1.09 , clause( 313, [ =( inverse( X ), multiply( inverse( multiply( Y, X ) ), Y
% 0.71/1.09 ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 46, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X ) )
% 0.71/1.09 ] )
% 0.71/1.09 , clause( 319, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 0.71/1.09 ) ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.09 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 320, [ =( Z, inverse( multiply( X, multiply( Y, inverse( multiply(
% 0.71/1.09 multiply( X, Y ), Z ) ) ) ) ) ) ] )
% 0.71/1.09 , clause( 5, [ =( inverse( multiply( Y, multiply( X, inverse( multiply(
% 0.71/1.09 multiply( Y, X ), Z ) ) ) ) ), Z ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 323, [ =( X, inverse( multiply( multiply( Z, inverse( multiply(
% 0.71/1.09 multiply( Y, Z ), X ) ) ), Y ) ) ) ] )
% 0.71/1.09 , clause( 40, [ =( inverse( multiply( Y, X ) ), inverse( multiply( X, Y ) )
% 0.71/1.09 ) ] )
% 0.71/1.09 , 0, clause( 320, [ =( Z, inverse( multiply( X, multiply( Y, inverse(
% 0.71/1.09 multiply( multiply( X, Y ), Z ) ) ) ) ) ) ] )
% 0.71/1.09 , 0, 2, substitution( 0, [ :=( X, multiply( Z, inverse( multiply( multiply(
% 0.71/1.09 Y, Z ), X ) ) ) ), :=( Y, Y )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z
% 0.71/1.09 ), :=( Z, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 328, [ =( X, inverse( multiply( inverse( multiply( Z, X ) ), Z ) )
% 0.71/1.09 ) ] )
% 0.71/1.09 , clause( 18, [ =( multiply( Y, inverse( multiply( multiply( X, Y ), Z ) )
% 0.71/1.09 ), inverse( multiply( X, Z ) ) ) ] )
% 0.71/1.09 , 0, clause( 323, [ =( X, inverse( multiply( multiply( Z, inverse( multiply(
% 0.71/1.09 multiply( Y, Z ), X ) ) ), Y ) ) ) ] )
% 0.71/1.09 , 0, 4, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.71/1.09 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 329, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.71/1.09 , clause( 46, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X )
% 0.71/1.09 ) ] )
% 0.71/1.09 , 0, clause( 328, [ =( X, inverse( multiply( inverse( multiply( Z, X ) ), Z
% 0.71/1.09 ) ) ) ] )
% 0.71/1.09 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.71/1.09 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 330, [ =( inverse( inverse( X ) ), X ) ] )
% 0.71/1.09 , clause( 329, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 50, [ =( inverse( inverse( Z ) ), Z ) ] )
% 0.71/1.09 , clause( 330, [ =( inverse( inverse( X ) ), X ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, Z )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 331, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.71/1.09 , clause( 50, [ =( inverse( inverse( Z ) ), Z ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 333, [ =( multiply( X, Y ), inverse( inverse( multiply( Y, X ) ) )
% 0.71/1.09 ) ] )
% 0.71/1.09 , clause( 40, [ =( inverse( multiply( Y, X ) ), inverse( multiply( X, Y ) )
% 0.71/1.09 ) ] )
% 0.71/1.09 , 0, clause( 331, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.71/1.09 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.71/1.09 :=( X, multiply( X, Y ) )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 335, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.71/1.09 , clause( 38, [ =( inverse( inverse( multiply( X, Y ) ) ), multiply( X, Y )
% 0.71/1.09 ) ] )
% 0.71/1.09 , 0, clause( 333, [ =( multiply( X, Y ), inverse( inverse( multiply( Y, X )
% 0.71/1.09 ) ) ) ] )
% 0.71/1.09 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.71/1.09 :=( X, X ), :=( Y, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 54, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 0.71/1.09 , clause( 335, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.09 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 336, [ =( Z, multiply( X, inverse( multiply( multiply( Y, X ),
% 0.71/1.09 inverse( multiply( Y, Z ) ) ) ) ) ) ] )
% 0.71/1.09 , clause( 2, [ =( multiply( Y, inverse( multiply( multiply( X, Y ), inverse(
% 0.71/1.09 multiply( X, Z ) ) ) ) ), Z ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 338, [ =( X, multiply( inverse( multiply( multiply( Z, Y ), inverse(
% 0.71/1.09 multiply( Z, X ) ) ) ), Y ) ) ] )
% 0.71/1.09 , clause( 54, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 0.71/1.09 , 0, clause( 336, [ =( Z, multiply( X, inverse( multiply( multiply( Y, X )
% 0.71/1.09 , inverse( multiply( Y, Z ) ) ) ) ) ) ] )
% 0.71/1.09 , 0, 2, substitution( 0, [ :=( X, inverse( multiply( multiply( Z, Y ),
% 0.71/1.09 inverse( multiply( Z, X ) ) ) ) ), :=( Y, Y )] ), substitution( 1, [ :=(
% 0.71/1.09 X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 356, [ =( X, multiply( multiply( X, inverse( Z ) ), Z ) ) ] )
% 0.71/1.09 , clause( 14, [ =( inverse( multiply( multiply( Y, X ), inverse( multiply(
% 0.71/1.09 Y, Z ) ) ) ), multiply( Z, inverse( X ) ) ) ] )
% 0.71/1.09 , 0, clause( 338, [ =( X, multiply( inverse( multiply( multiply( Z, Y ),
% 0.71/1.09 inverse( multiply( Z, X ) ) ) ), Y ) ) ] )
% 0.71/1.09 , 0, 3, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.71/1.09 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 357, [ =( multiply( multiply( X, inverse( Y ) ), Y ), X ) ] )
% 0.71/1.09 , clause( 356, [ =( X, multiply( multiply( X, inverse( Z ) ), Z ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 59, [ =( multiply( multiply( Z, inverse( X ) ), X ), Z ) ] )
% 0.71/1.09 , clause( 357, [ =( multiply( multiply( X, inverse( Y ) ), Y ), X ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, Z ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.09 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 359, [ =( X, multiply( multiply( X, inverse( Y ) ), Y ) ) ] )
% 0.71/1.09 , clause( 59, [ =( multiply( multiply( Z, inverse( X ) ), X ), Z ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 366, [ =( multiply( multiply( X, Y ), Z ), multiply( Y, multiply( X
% 0.71/1.09 , Z ) ) ) ] )
% 0.71/1.09 , clause( 0, [ =( multiply( multiply( multiply( X, Y ), Z ), inverse(
% 0.71/1.09 multiply( X, Z ) ) ), Y ) ] )
% 0.71/1.09 , 0, clause( 359, [ =( X, multiply( multiply( X, inverse( Y ) ), Y ) ) ] )
% 0.71/1.09 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.09 substitution( 1, [ :=( X, multiply( multiply( X, Y ), Z ) ), :=( Y,
% 0.71/1.09 multiply( X, Z ) )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 367, [ =( multiply( Y, multiply( X, Z ) ), multiply( multiply( X, Y
% 0.71/1.09 ), Z ) ) ] )
% 0.71/1.09 , clause( 366, [ =( multiply( multiply( X, Y ), Z ), multiply( Y, multiply(
% 0.71/1.09 X, Z ) ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 110, [ =( multiply( Y, multiply( X, Z ) ), multiply( multiply( X, Y
% 0.71/1.09 ), Z ) ) ] )
% 0.71/1.09 , clause( 367, [ =( multiply( Y, multiply( X, Z ) ), multiply( multiply( X
% 0.71/1.09 , Y ), Z ) ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 368, [ =( multiply( multiply( Y, X ), Z ), multiply( X, multiply( Y
% 0.71/1.09 , Z ) ) ) ] )
% 0.71/1.09 , clause( 110, [ =( multiply( Y, multiply( X, Z ) ), multiply( multiply( X
% 0.71/1.09 , Y ), Z ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 373, [ =( multiply( multiply( X, Y ), Z ), multiply( Y, multiply( Z
% 0.71/1.09 , X ) ) ) ] )
% 0.71/1.09 , clause( 54, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 0.71/1.09 , 0, clause( 368, [ =( multiply( multiply( Y, X ), Z ), multiply( X,
% 0.71/1.09 multiply( Y, Z ) ) ) ] )
% 0.71/1.09 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 0.71/1.09 :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 386, [ =( multiply( multiply( X, Y ), Z ), multiply( multiply( Z, Y
% 0.71/1.09 ), X ) ) ] )
% 0.71/1.09 , clause( 110, [ =( multiply( Y, multiply( X, Z ) ), multiply( multiply( X
% 0.71/1.09 , Y ), Z ) ) ] )
% 0.71/1.09 , 0, clause( 373, [ =( multiply( multiply( X, Y ), Z ), multiply( Y,
% 0.71/1.09 multiply( Z, X ) ) ) ] )
% 0.71/1.09 , 0, 6, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.71/1.09 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 128, [ =( multiply( multiply( Y, Z ), X ), multiply( multiply( X, Z
% 0.71/1.09 ), Y ) ) ] )
% 0.71/1.09 , clause( 386, [ =( multiply( multiply( X, Y ), Z ), multiply( multiply( Z
% 0.71/1.09 , Y ), X ) ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.71/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 388, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3,
% 0.71/1.09 multiply( b3, c3 ) ) ) ) ] )
% 0.71/1.09 , clause( 1, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.71/1.09 a3, b3 ), c3 ) ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 389, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( multiply(
% 0.71/1.09 b3, a3 ), c3 ) ) ) ] )
% 0.71/1.09 , clause( 110, [ =( multiply( Y, multiply( X, Z ) ), multiply( multiply( X
% 0.71/1.09 , Y ), Z ) ) ] )
% 0.71/1.09 , 0, clause( 388, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3
% 0.71/1.09 , multiply( b3, c3 ) ) ) ) ] )
% 0.71/1.09 , 0, 7, substitution( 0, [ :=( X, b3 ), :=( Y, a3 ), :=( Z, c3 )] ),
% 0.71/1.09 substitution( 1, [] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 131, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( multiply(
% 0.71/1.09 b3, a3 ), c3 ) ) ) ] )
% 0.71/1.09 , clause( 389, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply(
% 0.71/1.09 multiply( b3, a3 ), c3 ) ) ) ] )
% 0.71/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 393, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Z
% 0.71/1.09 ), Y ) ) ] )
% 0.71/1.09 , clause( 128, [ =( multiply( multiply( Y, Z ), X ), multiply( multiply( X
% 0.71/1.09 , Z ), Y ) ) ] )
% 0.71/1.09 , 0, clause( 54, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 0.71/1.09 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.09 substitution( 1, [ :=( X, multiply( Y, Z ) ), :=( Y, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 396, [ =( multiply( multiply( Y, X ), Z ), multiply( multiply( X, Z
% 0.71/1.09 ), Y ) ) ] )
% 0.71/1.09 , clause( 110, [ =( multiply( Y, multiply( X, Z ) ), multiply( multiply( X
% 0.71/1.09 , Y ), Z ) ) ] )
% 0.71/1.09 , 0, clause( 393, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply(
% 0.71/1.09 X, Z ), Y ) ) ] )
% 0.71/1.09 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.71/1.09 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 397, [ =( multiply( multiply( Y, Z ), X ), multiply( multiply( X, Y
% 0.71/1.09 ), Z ) ) ] )
% 0.71/1.09 , clause( 396, [ =( multiply( multiply( Y, X ), Z ), multiply( multiply( X
% 0.71/1.09 , Z ), Y ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 138, [ =( multiply( multiply( Z, Y ), X ), multiply( multiply( X, Z
% 0.71/1.09 ), Y ) ) ] )
% 0.71/1.09 , clause( 397, [ =( multiply( multiply( Y, Z ), X ), multiply( multiply( X
% 0.71/1.09 , Y ), Z ) ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.71/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 398, [ =( multiply( multiply( Z, X ), Y ), multiply( multiply( X, Y
% 0.71/1.09 ), Z ) ) ] )
% 0.71/1.09 , clause( 138, [ =( multiply( multiply( Z, Y ), X ), multiply( multiply( X
% 0.71/1.09 , Z ), Y ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 399, [ =( multiply( multiply( Y, Z ), X ), multiply( multiply( Z, Y
% 0.71/1.09 ), X ) ) ] )
% 0.71/1.09 , clause( 398, [ =( multiply( multiply( Z, X ), Y ), multiply( multiply( X
% 0.71/1.09 , Y ), Z ) ) ] )
% 0.71/1.09 , 0, clause( 128, [ =( multiply( multiply( Y, Z ), X ), multiply( multiply(
% 0.71/1.09 X, Z ), Y ) ) ] )
% 0.71/1.09 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.71/1.09 substitution( 1, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 145, [ =( multiply( multiply( Y, Z ), X ), multiply( multiply( Z, Y
% 0.71/1.09 ), X ) ) ] )
% 0.71/1.09 , clause( 399, [ =( multiply( multiply( Y, Z ), X ), multiply( multiply( Z
% 0.71/1.09 , Y ), X ) ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 436, [ ~( =( multiply( multiply( b3, a3 ), c3 ), multiply( multiply(
% 0.71/1.09 a3, b3 ), c3 ) ) ) ] )
% 0.71/1.09 , clause( 131, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply(
% 0.71/1.09 multiply( b3, a3 ), c3 ) ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 438, [ ~( =( multiply( multiply( b3, a3 ), c3 ), multiply( multiply(
% 0.71/1.09 b3, a3 ), c3 ) ) ) ] )
% 0.71/1.09 , clause( 145, [ =( multiply( multiply( Y, Z ), X ), multiply( multiply( Z
% 0.71/1.09 , Y ), X ) ) ] )
% 0.71/1.09 , 0, clause( 436, [ ~( =( multiply( multiply( b3, a3 ), c3 ), multiply(
% 0.71/1.09 multiply( a3, b3 ), c3 ) ) ) ] )
% 0.71/1.09 , 0, 7, substitution( 0, [ :=( X, c3 ), :=( Y, a3 ), :=( Z, b3 )] ),
% 0.71/1.09 substitution( 1, [] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqrefl(
% 0.71/1.09 clause( 441, [] )
% 0.71/1.09 , clause( 438, [ ~( =( multiply( multiply( b3, a3 ), c3 ), multiply(
% 0.71/1.09 multiply( b3, a3 ), c3 ) ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 156, [] )
% 0.71/1.09 , clause( 441, [] )
% 0.71/1.09 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 end.
% 0.71/1.09
% 0.71/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.09
% 0.71/1.09 Memory use:
% 0.71/1.09
% 0.71/1.09 space for terms: 1955
% 0.71/1.09 space for clauses: 16150
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 clauses generated: 2725
% 0.71/1.09 clauses kept: 157
% 0.71/1.09 clauses selected: 38
% 0.71/1.09 clauses deleted: 17
% 0.71/1.09 clauses inuse deleted: 0
% 0.71/1.09
% 0.71/1.09 subsentry: 3181
% 0.71/1.09 literals s-matched: 1266
% 0.71/1.09 literals matched: 924
% 0.71/1.09 full subsumption: 0
% 0.71/1.09
% 0.71/1.09 checksum: 898562325
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Bliksem ended
%------------------------------------------------------------------------------