TSTP Solution File: GRP519-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP519-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n006.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 07:37:26 EDT 2022
% Result : Unsatisfiable 0.68s 1.09s
% Output : Refutation 0.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP519-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Mon Jun 13 05:48:42 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.68/1.09 *** allocated 10000 integers for termspace/termends
% 0.68/1.09 *** allocated 10000 integers for clauses
% 0.68/1.09 *** allocated 10000 integers for justifications
% 0.68/1.09 Bliksem 1.12
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 Automatic Strategy Selection
% 0.68/1.09
% 0.68/1.09 Clauses:
% 0.68/1.09 [
% 0.68/1.09 [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y ) ), Z ),
% 0.68/1.09 Y ) ), Z ) ],
% 0.68/1.09 [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3, multiply( b3,
% 0.68/1.09 c3 ) ) ) ) ]
% 0.68/1.09 ] .
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 percentage equality = 1.000000, percentage horn = 1.000000
% 0.68/1.09 This is a pure equality problem
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 Options Used:
% 0.68/1.09
% 0.68/1.09 useres = 1
% 0.68/1.09 useparamod = 1
% 0.68/1.09 useeqrefl = 1
% 0.68/1.09 useeqfact = 1
% 0.68/1.09 usefactor = 1
% 0.68/1.09 usesimpsplitting = 0
% 0.68/1.09 usesimpdemod = 5
% 0.68/1.09 usesimpres = 3
% 0.68/1.09
% 0.68/1.09 resimpinuse = 1000
% 0.68/1.09 resimpclauses = 20000
% 0.68/1.09 substype = eqrewr
% 0.68/1.09 backwardsubs = 1
% 0.68/1.09 selectoldest = 5
% 0.68/1.09
% 0.68/1.09 litorderings [0] = split
% 0.68/1.09 litorderings [1] = extend the termordering, first sorting on arguments
% 0.68/1.09
% 0.68/1.09 termordering = kbo
% 0.68/1.09
% 0.68/1.09 litapriori = 0
% 0.68/1.09 termapriori = 1
% 0.68/1.09 litaposteriori = 0
% 0.68/1.09 termaposteriori = 0
% 0.68/1.09 demodaposteriori = 0
% 0.68/1.09 ordereqreflfact = 0
% 0.68/1.09
% 0.68/1.09 litselect = negord
% 0.68/1.09
% 0.68/1.09 maxweight = 15
% 0.68/1.09 maxdepth = 30000
% 0.68/1.09 maxlength = 115
% 0.68/1.09 maxnrvars = 195
% 0.68/1.09 excuselevel = 1
% 0.68/1.09 increasemaxweight = 1
% 0.68/1.09
% 0.68/1.09 maxselected = 10000000
% 0.68/1.09 maxnrclauses = 10000000
% 0.68/1.09
% 0.68/1.09 showgenerated = 0
% 0.68/1.09 showkept = 0
% 0.68/1.09 showselected = 0
% 0.68/1.09 showdeleted = 0
% 0.68/1.09 showresimp = 1
% 0.68/1.09 showstatus = 2000
% 0.68/1.09
% 0.68/1.09 prologoutput = 1
% 0.68/1.09 nrgoals = 5000000
% 0.68/1.09 totalproof = 1
% 0.68/1.09
% 0.68/1.09 Symbols occurring in the translation:
% 0.68/1.09
% 0.68/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.68/1.09 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.68/1.09 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.68/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.68/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.68/1.09 multiply [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.68/1.09 inverse [42, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.68/1.09 a3 [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.68/1.09 b3 [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.68/1.09 c3 [46, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 Starting Search:
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 Bliksems!, er is een bewijs:
% 0.68/1.09 % SZS status Unsatisfiable
% 0.68/1.09 % SZS output start Refutation
% 0.68/1.09
% 0.68/1.09 clause( 0, [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y )
% 0.68/1.09 ), Z ), Y ) ), Z ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 1, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.68/1.09 a3, b3 ), c3 ) ) ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 2, [ =( multiply( multiply( inverse( multiply( inverse( multiply( X
% 0.68/1.09 , Y ) ), Z ) ), T ), Z ), multiply( X, multiply( T, Y ) ) ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 3, [ =( multiply( X, multiply( multiply( inverse( Z ), T ),
% 0.68/1.09 multiply( multiply( inverse( multiply( X, Y ) ), Z ), Y ) ) ), T ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 4, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X,
% 0.68/1.09 multiply( T, Y ) ) ), T ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 5, [ =( multiply( inverse( multiply( inverse( multiply( X, Y ) ),
% 0.68/1.09 multiply( Z, Y ) ) ), Z ), X ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 8, [ =( multiply( multiply( inverse( X ), Y ), X ), Y ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 15, [ =( multiply( Z, multiply( X, Y ) ), multiply( X, multiply( Z
% 0.68/1.09 , Y ) ) ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 20, [ =( multiply( multiply( inverse( X ), Y ), multiply( Z, X ) )
% 0.68/1.09 , multiply( Z, Y ) ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 27, [ =( multiply( inverse( Y ), multiply( Z, Y ) ), Z ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 31, [ =( multiply( Y, multiply( inverse( X ), X ) ), Y ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 35, [ =( multiply( inverse( multiply( inverse( X ), X ) ), Y ), Y )
% 0.68/1.09 ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 36, [ =( multiply( inverse( multiply( X, multiply( Z, Y ) ) ), Z )
% 0.68/1.09 , inverse( multiply( X, Y ) ) ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 38, [ =( multiply( Z, X ), multiply( X, Z ) ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 44, [ =( inverse( inverse( X ) ), X ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 47, [ =( multiply( X, multiply( T, Y ) ), multiply( multiply( X, Y
% 0.68/1.09 ), T ) ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 66, [] )
% 0.68/1.09 .
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 % SZS output end Refutation
% 0.68/1.09 found a proof!
% 0.68/1.09
% 0.68/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.68/1.09
% 0.68/1.09 initialclauses(
% 0.68/1.09 [ clause( 68, [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y
% 0.68/1.09 ) ), Z ), Y ) ), Z ) ] )
% 0.68/1.09 , clause( 69, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3,
% 0.68/1.09 multiply( b3, c3 ) ) ) ) ] )
% 0.68/1.09 ] ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 0, [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y )
% 0.68/1.09 ), Z ), Y ) ), Z ) ] )
% 0.68/1.09 , clause( 68, [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y
% 0.68/1.09 ) ), Z ), Y ) ), Z ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 72, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.68/1.09 a3, b3 ), c3 ) ) ) ] )
% 0.68/1.09 , clause( 69, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3,
% 0.68/1.09 multiply( b3, c3 ) ) ) ) ] )
% 0.68/1.09 , 0, substitution( 0, [] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 1, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.68/1.09 a3, b3 ), c3 ) ) ) ] )
% 0.68/1.09 , clause( 72, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 0.68/1.09 multiply( a3, b3 ), c3 ) ) ) ] )
% 0.68/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 73, [ =( Z, multiply( X, multiply( multiply( inverse( multiply( X,
% 0.68/1.09 Y ) ), Z ), Y ) ) ) ] )
% 0.68/1.09 , clause( 0, [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y
% 0.68/1.09 ) ), Z ), Y ) ), Z ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 76, [ =( multiply( multiply( inverse( multiply( inverse( multiply(
% 0.68/1.09 X, Y ) ), Z ) ), T ), Z ), multiply( X, multiply( T, Y ) ) ) ] )
% 0.68/1.09 , clause( 0, [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y
% 0.68/1.09 ) ), Z ), Y ) ), Z ) ] )
% 0.68/1.09 , 0, clause( 73, [ =( Z, multiply( X, multiply( multiply( inverse( multiply(
% 0.68/1.09 X, Y ) ), Z ), Y ) ) ) ] )
% 0.68/1.09 , 0, 15, substitution( 0, [ :=( X, inverse( multiply( X, Y ) ) ), :=( Y, Z
% 0.68/1.09 ), :=( Z, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z,
% 0.68/1.09 multiply( multiply( inverse( multiply( inverse( multiply( X, Y ) ), Z ) )
% 0.68/1.09 , T ), Z ) )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 2, [ =( multiply( multiply( inverse( multiply( inverse( multiply( X
% 0.68/1.09 , Y ) ), Z ) ), T ), Z ), multiply( X, multiply( T, Y ) ) ) ] )
% 0.68/1.09 , clause( 76, [ =( multiply( multiply( inverse( multiply( inverse( multiply(
% 0.68/1.09 X, Y ) ), Z ) ), T ), Z ), multiply( X, multiply( T, Y ) ) ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.68/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 80, [ =( Z, multiply( X, multiply( multiply( inverse( multiply( X,
% 0.68/1.09 Y ) ), Z ), Y ) ) ) ] )
% 0.68/1.09 , clause( 0, [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y
% 0.68/1.09 ) ), Z ), Y ) ), Z ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 84, [ =( X, multiply( Y, multiply( multiply( inverse( T ), X ),
% 0.68/1.09 multiply( multiply( inverse( multiply( Y, Z ) ), T ), Z ) ) ) ) ] )
% 0.68/1.09 , clause( 0, [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y
% 0.68/1.09 ) ), Z ), Y ) ), Z ) ] )
% 0.68/1.09 , 0, clause( 80, [ =( Z, multiply( X, multiply( multiply( inverse( multiply(
% 0.68/1.09 X, Y ) ), Z ), Y ) ) ) ] )
% 0.68/1.09 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T )] ),
% 0.68/1.09 substitution( 1, [ :=( X, Y ), :=( Y, multiply( multiply( inverse(
% 0.68/1.09 multiply( Y, Z ) ), T ), Z ) ), :=( Z, X )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 86, [ =( multiply( Y, multiply( multiply( inverse( Z ), X ),
% 0.68/1.09 multiply( multiply( inverse( multiply( Y, T ) ), Z ), T ) ) ), X ) ] )
% 0.68/1.09 , clause( 84, [ =( X, multiply( Y, multiply( multiply( inverse( T ), X ),
% 0.68/1.09 multiply( multiply( inverse( multiply( Y, Z ) ), T ), Z ) ) ) ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] )
% 0.68/1.09 ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 3, [ =( multiply( X, multiply( multiply( inverse( Z ), T ),
% 0.68/1.09 multiply( multiply( inverse( multiply( X, Y ) ), Z ), Y ) ) ), T ) ] )
% 0.68/1.09 , clause( 86, [ =( multiply( Y, multiply( multiply( inverse( Z ), X ),
% 0.68/1.09 multiply( multiply( inverse( multiply( Y, T ) ), Z ), T ) ) ), X ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Z ), :=( T, Y )] ),
% 0.68/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 88, [ =( Z, multiply( X, multiply( multiply( inverse( multiply( X,
% 0.68/1.09 Y ) ), Z ), Y ) ) ) ] )
% 0.68/1.09 , clause( 0, [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y
% 0.68/1.09 ) ), Z ), Y ) ), Z ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 99, [ =( X, multiply( inverse( multiply( Y, Z ) ), multiply( Y,
% 0.68/1.09 multiply( X, Z ) ) ) ) ] )
% 0.68/1.09 , clause( 2, [ =( multiply( multiply( inverse( multiply( inverse( multiply(
% 0.68/1.09 X, Y ) ), Z ) ), T ), Z ), multiply( X, multiply( T, Y ) ) ) ] )
% 0.68/1.09 , 0, clause( 88, [ =( Z, multiply( X, multiply( multiply( inverse( multiply(
% 0.68/1.09 X, Y ) ), Z ), Y ) ) ) ] )
% 0.68/1.09 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, X )] )
% 0.68/1.09 , substitution( 1, [ :=( X, inverse( multiply( Y, Z ) ) ), :=( Y, T ),
% 0.68/1.09 :=( Z, X )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 101, [ =( multiply( inverse( multiply( Y, Z ) ), multiply( Y,
% 0.68/1.09 multiply( X, Z ) ) ), X ) ] )
% 0.68/1.09 , clause( 99, [ =( X, multiply( inverse( multiply( Y, Z ) ), multiply( Y,
% 0.68/1.09 multiply( X, Z ) ) ) ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 4, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X,
% 0.68/1.09 multiply( T, Y ) ) ), T ) ] )
% 0.68/1.09 , clause( 101, [ =( multiply( inverse( multiply( Y, Z ) ), multiply( Y,
% 0.68/1.09 multiply( X, Z ) ) ), X ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y )] ),
% 0.68/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 103, [ =( Z, multiply( inverse( multiply( X, Y ) ), multiply( X,
% 0.68/1.09 multiply( Z, Y ) ) ) ) ] )
% 0.68/1.09 , clause( 4, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X,
% 0.68/1.09 multiply( T, Y ) ) ), T ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] )
% 0.68/1.09 ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 107, [ =( X, multiply( inverse( multiply( inverse( multiply( X, Y )
% 0.68/1.09 ), multiply( Z, Y ) ) ), Z ) ) ] )
% 0.68/1.09 , clause( 4, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X,
% 0.68/1.09 multiply( T, Y ) ) ), T ) ] )
% 0.68/1.09 , 0, clause( 103, [ =( Z, multiply( inverse( multiply( X, Y ) ), multiply(
% 0.68/1.09 X, multiply( Z, Y ) ) ) ) ] )
% 0.68/1.09 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] )
% 0.68/1.09 , substitution( 1, [ :=( X, inverse( multiply( X, Y ) ) ), :=( Y,
% 0.68/1.09 multiply( Z, Y ) ), :=( Z, X )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 110, [ =( multiply( inverse( multiply( inverse( multiply( X, Y ) )
% 0.68/1.09 , multiply( Z, Y ) ) ), Z ), X ) ] )
% 0.68/1.09 , clause( 107, [ =( X, multiply( inverse( multiply( inverse( multiply( X, Y
% 0.68/1.09 ) ), multiply( Z, Y ) ) ), Z ) ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 5, [ =( multiply( inverse( multiply( inverse( multiply( X, Y ) ),
% 0.68/1.09 multiply( Z, Y ) ) ), Z ), X ) ] )
% 0.68/1.09 , clause( 110, [ =( multiply( inverse( multiply( inverse( multiply( X, Y )
% 0.68/1.09 ), multiply( Z, Y ) ) ), Z ), X ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 113, [ =( Z, multiply( X, multiply( multiply( inverse( Y ), Z ),
% 0.68/1.09 multiply( multiply( inverse( multiply( X, T ) ), Y ), T ) ) ) ) ] )
% 0.68/1.09 , clause( 3, [ =( multiply( X, multiply( multiply( inverse( Z ), T ),
% 0.68/1.09 multiply( multiply( inverse( multiply( X, Y ) ), Z ), Y ) ) ), T ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Y ), :=( T, Z )] )
% 0.68/1.09 ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 118, [ =( X, multiply( multiply( inverse( Y ), X ), Y ) ) ] )
% 0.68/1.09 , clause( 0, [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y
% 0.68/1.09 ) ), Z ), Y ) ), Z ) ] )
% 0.68/1.09 , 0, clause( 113, [ =( Z, multiply( X, multiply( multiply( inverse( Y ), Z
% 0.68/1.09 ), multiply( multiply( inverse( multiply( X, T ) ), Y ), T ) ) ) ) ] )
% 0.68/1.09 , 0, 7, substitution( 0, [ :=( X, multiply( inverse( Y ), X ) ), :=( Y, Z )
% 0.68/1.09 , :=( Z, Y )] ), substitution( 1, [ :=( X, multiply( inverse( Y ), X ) )
% 0.68/1.09 , :=( Y, Y ), :=( Z, X ), :=( T, Z )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 122, [ =( multiply( multiply( inverse( Y ), X ), Y ), X ) ] )
% 0.68/1.09 , clause( 118, [ =( X, multiply( multiply( inverse( Y ), X ), Y ) ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 8, [ =( multiply( multiply( inverse( X ), Y ), X ), Y ) ] )
% 0.68/1.09 , clause( 122, [ =( multiply( multiply( inverse( Y ), X ), Y ), X ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.68/1.09 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 127, [ =( Y, multiply( multiply( inverse( X ), Y ), X ) ) ] )
% 0.68/1.09 , clause( 8, [ =( multiply( multiply( inverse( X ), Y ), X ), Y ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 134, [ =( multiply( X, multiply( Y, Z ) ), multiply( Y, multiply( X
% 0.68/1.09 , Z ) ) ) ] )
% 0.68/1.09 , clause( 4, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X,
% 0.68/1.09 multiply( T, Y ) ) ), T ) ] )
% 0.68/1.09 , 0, clause( 127, [ =( Y, multiply( multiply( inverse( X ), Y ), X ) ) ] )
% 0.68/1.09 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 0.68/1.09 , substitution( 1, [ :=( X, multiply( X, Z ) ), :=( Y, multiply( X,
% 0.68/1.09 multiply( Y, Z ) ) )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 15, [ =( multiply( Z, multiply( X, Y ) ), multiply( X, multiply( Z
% 0.68/1.09 , Y ) ) ) ] )
% 0.68/1.09 , clause( 134, [ =( multiply( X, multiply( Y, Z ) ), multiply( Y, multiply(
% 0.68/1.09 X, Z ) ) ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.68/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 147, [ =( multiply( multiply( inverse( X ), Y ), multiply( Z, X ) )
% 0.68/1.09 , multiply( Z, Y ) ) ] )
% 0.68/1.09 , clause( 8, [ =( multiply( multiply( inverse( X ), Y ), X ), Y ) ] )
% 0.68/1.09 , 0, clause( 15, [ =( multiply( Z, multiply( X, Y ) ), multiply( X,
% 0.68/1.09 multiply( Z, Y ) ) ) ] )
% 0.68/1.09 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.68/1.09 :=( X, Z ), :=( Y, X ), :=( Z, multiply( inverse( X ), Y ) )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 20, [ =( multiply( multiply( inverse( X ), Y ), multiply( Z, X ) )
% 0.68/1.09 , multiply( Z, Y ) ) ] )
% 0.68/1.09 , clause( 147, [ =( multiply( multiply( inverse( X ), Y ), multiply( Z, X )
% 0.68/1.09 ), multiply( Z, Y ) ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 149, [ =( Z, multiply( inverse( multiply( X, Y ) ), multiply( X,
% 0.68/1.09 multiply( Z, Y ) ) ) ) ] )
% 0.68/1.09 , clause( 4, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X,
% 0.68/1.09 multiply( T, Y ) ) ), T ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] )
% 0.68/1.09 ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 155, [ =( X, multiply( inverse( multiply( multiply( inverse( Y ), Z
% 0.68/1.09 ), Y ) ), multiply( X, Z ) ) ) ] )
% 0.68/1.09 , clause( 20, [ =( multiply( multiply( inverse( X ), Y ), multiply( Z, X )
% 0.68/1.09 ), multiply( Z, Y ) ) ] )
% 0.68/1.09 , 0, clause( 149, [ =( Z, multiply( inverse( multiply( X, Y ) ), multiply(
% 0.68/1.09 X, multiply( Z, Y ) ) ) ) ] )
% 0.68/1.09 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.68/1.09 substitution( 1, [ :=( X, multiply( inverse( Y ), Z ) ), :=( Y, Y ), :=(
% 0.68/1.09 Z, X )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 157, [ =( X, multiply( inverse( Z ), multiply( X, Z ) ) ) ] )
% 0.68/1.09 , clause( 8, [ =( multiply( multiply( inverse( X ), Y ), X ), Y ) ] )
% 0.68/1.09 , 0, clause( 155, [ =( X, multiply( inverse( multiply( multiply( inverse( Y
% 0.68/1.09 ), Z ), Y ) ), multiply( X, Z ) ) ) ] )
% 0.68/1.09 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.68/1.09 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 158, [ =( multiply( inverse( Y ), multiply( X, Y ) ), X ) ] )
% 0.68/1.09 , clause( 157, [ =( X, multiply( inverse( Z ), multiply( X, Z ) ) ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 27, [ =( multiply( inverse( Y ), multiply( Z, Y ) ), Z ) ] )
% 0.68/1.09 , clause( 158, [ =( multiply( inverse( Y ), multiply( X, Y ) ), X ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.68/1.09 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 159, [ =( Y, multiply( inverse( X ), multiply( Y, X ) ) ) ] )
% 0.68/1.09 , clause( 27, [ =( multiply( inverse( Y ), multiply( Z, Y ) ), Z ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 160, [ =( X, multiply( X, multiply( inverse( Y ), Y ) ) ) ] )
% 0.68/1.09 , clause( 15, [ =( multiply( Z, multiply( X, Y ) ), multiply( X, multiply(
% 0.68/1.09 Z, Y ) ) ) ] )
% 0.68/1.09 , 0, clause( 159, [ =( Y, multiply( inverse( X ), multiply( Y, X ) ) ) ] )
% 0.68/1.09 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, inverse( Y ) )] )
% 0.68/1.09 , substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 168, [ =( multiply( X, multiply( inverse( Y ), Y ) ), X ) ] )
% 0.68/1.09 , clause( 160, [ =( X, multiply( X, multiply( inverse( Y ), Y ) ) ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 31, [ =( multiply( Y, multiply( inverse( X ), X ) ), Y ) ] )
% 0.68/1.09 , clause( 168, [ =( multiply( X, multiply( inverse( Y ), Y ) ), X ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.68/1.09 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 174, [ =( Z, multiply( inverse( multiply( X, Y ) ), multiply( X,
% 0.68/1.09 multiply( Z, Y ) ) ) ) ] )
% 0.68/1.09 , clause( 4, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X,
% 0.68/1.09 multiply( T, Y ) ) ), T ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] )
% 0.68/1.09 ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 180, [ =( X, multiply( inverse( multiply( inverse( Y ), Y ) ), X )
% 0.68/1.09 ) ] )
% 0.68/1.09 , clause( 27, [ =( multiply( inverse( Y ), multiply( Z, Y ) ), Z ) ] )
% 0.68/1.09 , 0, clause( 174, [ =( Z, multiply( inverse( multiply( X, Y ) ), multiply(
% 0.68/1.09 X, multiply( Z, Y ) ) ) ) ] )
% 0.68/1.09 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.68/1.09 substitution( 1, [ :=( X, inverse( Y ) ), :=( Y, Y ), :=( Z, X )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 183, [ =( multiply( inverse( multiply( inverse( Y ), Y ) ), X ), X
% 0.68/1.09 ) ] )
% 0.68/1.09 , clause( 180, [ =( X, multiply( inverse( multiply( inverse( Y ), Y ) ), X
% 0.68/1.09 ) ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 35, [ =( multiply( inverse( multiply( inverse( X ), X ) ), Y ), Y )
% 0.68/1.09 ] )
% 0.68/1.09 , clause( 183, [ =( multiply( inverse( multiply( inverse( Y ), Y ) ), X ),
% 0.68/1.09 X ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.68/1.09 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 186, [ =( Y, multiply( inverse( X ), multiply( Y, X ) ) ) ] )
% 0.68/1.09 , clause( 27, [ =( multiply( inverse( Y ), multiply( Z, Y ) ), Z ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 195, [ =( inverse( multiply( X, Y ) ), multiply( inverse( multiply(
% 0.68/1.09 X, multiply( Z, Y ) ) ), Z ) ) ] )
% 0.68/1.09 , clause( 4, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X,
% 0.68/1.09 multiply( T, Y ) ) ), T ) ] )
% 0.68/1.09 , 0, clause( 186, [ =( Y, multiply( inverse( X ), multiply( Y, X ) ) ) ] )
% 0.68/1.09 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] )
% 0.68/1.09 , substitution( 1, [ :=( X, multiply( X, multiply( Z, Y ) ) ), :=( Y,
% 0.68/1.09 inverse( multiply( X, Y ) ) )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 196, [ =( multiply( inverse( multiply( X, multiply( Z, Y ) ) ), Z )
% 0.68/1.09 , inverse( multiply( X, Y ) ) ) ] )
% 0.68/1.09 , clause( 195, [ =( inverse( multiply( X, Y ) ), multiply( inverse(
% 0.68/1.09 multiply( X, multiply( Z, Y ) ) ), Z ) ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 36, [ =( multiply( inverse( multiply( X, multiply( Z, Y ) ) ), Z )
% 0.68/1.09 , inverse( multiply( X, Y ) ) ) ] )
% 0.68/1.09 , clause( 196, [ =( multiply( inverse( multiply( X, multiply( Z, Y ) ) ), Z
% 0.68/1.09 ), inverse( multiply( X, Y ) ) ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 198, [ =( multiply( Z, Y ), multiply( multiply( inverse( X ), Y ),
% 0.68/1.09 multiply( Z, X ) ) ) ] )
% 0.68/1.09 , clause( 20, [ =( multiply( multiply( inverse( X ), Y ), multiply( Z, X )
% 0.68/1.09 ), multiply( Z, Y ) ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 204, [ =( multiply( X, Y ), multiply( multiply( inverse( multiply(
% 0.68/1.09 inverse( Z ), Z ) ), Y ), X ) ) ] )
% 0.68/1.09 , clause( 31, [ =( multiply( Y, multiply( inverse( X ), X ) ), Y ) ] )
% 0.68/1.09 , 0, clause( 198, [ =( multiply( Z, Y ), multiply( multiply( inverse( X ),
% 0.68/1.09 Y ), multiply( Z, X ) ) ) ] )
% 0.68/1.09 , 0, 12, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 0.68/1.09 :=( X, multiply( inverse( Z ), Z ) ), :=( Y, Y ), :=( Z, X )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 206, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.68/1.09 , clause( 35, [ =( multiply( inverse( multiply( inverse( X ), X ) ), Y ), Y
% 0.68/1.09 ) ] )
% 0.68/1.09 , 0, clause( 204, [ =( multiply( X, Y ), multiply( multiply( inverse(
% 0.68/1.09 multiply( inverse( Z ), Z ) ), Y ), X ) ) ] )
% 0.68/1.09 , 0, 5, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.68/1.09 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 38, [ =( multiply( Z, X ), multiply( X, Z ) ) ] )
% 0.68/1.09 , clause( 206, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, Z ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.68/1.09 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 208, [ =( X, multiply( inverse( multiply( inverse( multiply( X, Y )
% 0.68/1.09 ), multiply( Z, Y ) ) ), Z ) ) ] )
% 0.68/1.09 , clause( 5, [ =( multiply( inverse( multiply( inverse( multiply( X, Y ) )
% 0.68/1.09 , multiply( Z, Y ) ) ), Z ), X ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 214, [ =( X, multiply( inverse( multiply( inverse( X ), multiply( Z
% 0.68/1.09 , multiply( inverse( Y ), Y ) ) ) ), Z ) ) ] )
% 0.68/1.09 , clause( 31, [ =( multiply( Y, multiply( inverse( X ), X ) ), Y ) ] )
% 0.68/1.09 , 0, clause( 208, [ =( X, multiply( inverse( multiply( inverse( multiply( X
% 0.68/1.09 , Y ) ), multiply( Z, Y ) ) ), Z ) ) ] )
% 0.68/1.09 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.68/1.09 :=( X, X ), :=( Y, multiply( inverse( Y ), Y ) ), :=( Z, Z )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 217, [ =( X, inverse( multiply( inverse( X ), multiply( inverse( Z
% 0.68/1.09 ), Z ) ) ) ) ] )
% 0.68/1.09 , clause( 36, [ =( multiply( inverse( multiply( X, multiply( Z, Y ) ) ), Z
% 0.68/1.09 ), inverse( multiply( X, Y ) ) ) ] )
% 0.68/1.09 , 0, clause( 214, [ =( X, multiply( inverse( multiply( inverse( X ),
% 0.68/1.09 multiply( Z, multiply( inverse( Y ), Y ) ) ) ), Z ) ) ] )
% 0.68/1.09 , 0, 2, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, multiply( inverse(
% 0.68/1.09 Z ), Z ) ), :=( Z, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Z ),
% 0.68/1.09 :=( Z, Y )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 218, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.68/1.09 , clause( 31, [ =( multiply( Y, multiply( inverse( X ), X ) ), Y ) ] )
% 0.68/1.09 , 0, clause( 217, [ =( X, inverse( multiply( inverse( X ), multiply(
% 0.68/1.09 inverse( Z ), Z ) ) ) ) ] )
% 0.68/1.09 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, inverse( X ) )] ),
% 0.68/1.09 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 219, [ =( inverse( inverse( X ) ), X ) ] )
% 0.68/1.09 , clause( 218, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 44, [ =( inverse( inverse( X ) ), X ) ] )
% 0.68/1.09 , clause( 219, [ =( inverse( inverse( X ) ), X ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 220, [ =( X, multiply( X, multiply( inverse( Y ), Y ) ) ) ] )
% 0.68/1.09 , clause( 31, [ =( multiply( Y, multiply( inverse( X ), X ) ), Y ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 224, [ =( multiply( inverse( multiply( inverse( multiply( X, Y ) )
% 0.68/1.09 , multiply( inverse( Z ), Z ) ) ), T ), multiply( X, multiply( T, Y ) ) )
% 0.68/1.09 ] )
% 0.68/1.09 , clause( 2, [ =( multiply( multiply( inverse( multiply( inverse( multiply(
% 0.68/1.09 X, Y ) ), Z ) ), T ), Z ), multiply( X, multiply( T, Y ) ) ) ] )
% 0.68/1.09 , 0, clause( 220, [ =( X, multiply( X, multiply( inverse( Y ), Y ) ) ) ] )
% 0.68/1.09 , 0, 13, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, multiply(
% 0.68/1.09 inverse( Z ), Z ) ), :=( T, T )] ), substitution( 1, [ :=( X, multiply(
% 0.68/1.09 inverse( multiply( inverse( multiply( X, Y ) ), multiply( inverse( Z ), Z
% 0.68/1.09 ) ) ), T ) ), :=( Y, Z )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 225, [ =( multiply( inverse( inverse( multiply( X, Y ) ) ), T ),
% 0.68/1.09 multiply( X, multiply( T, Y ) ) ) ] )
% 0.68/1.09 , clause( 31, [ =( multiply( Y, multiply( inverse( X ), X ) ), Y ) ] )
% 0.68/1.09 , 0, clause( 224, [ =( multiply( inverse( multiply( inverse( multiply( X, Y
% 0.68/1.09 ) ), multiply( inverse( Z ), Z ) ) ), T ), multiply( X, multiply( T, Y )
% 0.68/1.09 ) ) ] )
% 0.68/1.09 , 0, 3, substitution( 0, [ :=( X, Z ), :=( Y, inverse( multiply( X, Y ) ) )] )
% 0.68/1.09 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.68/1.09 ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 226, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Z
% 0.68/1.09 , Y ) ) ) ] )
% 0.68/1.09 , clause( 44, [ =( inverse( inverse( X ) ), X ) ] )
% 0.68/1.09 , 0, clause( 225, [ =( multiply( inverse( inverse( multiply( X, Y ) ) ), T
% 0.68/1.09 ), multiply( X, multiply( T, Y ) ) ) ] )
% 0.68/1.09 , 0, 2, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 0.68/1.09 :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 227, [ =( multiply( X, multiply( Z, Y ) ), multiply( multiply( X, Y
% 0.68/1.09 ), Z ) ) ] )
% 0.68/1.09 , clause( 226, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.68/1.09 Z, Y ) ) ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 47, [ =( multiply( X, multiply( T, Y ) ), multiply( multiply( X, Y
% 0.68/1.09 ), T ) ) ] )
% 0.68/1.09 , clause( 227, [ =( multiply( X, multiply( Z, Y ) ), multiply( multiply( X
% 0.68/1.09 , Y ), Z ) ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T )] ),
% 0.68/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 228, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3,
% 0.68/1.09 multiply( b3, c3 ) ) ) ) ] )
% 0.68/1.09 , clause( 1, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.68/1.09 a3, b3 ), c3 ) ) ) ] )
% 0.68/1.09 , 0, substitution( 0, [] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 233, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3,
% 0.68/1.09 multiply( c3, b3 ) ) ) ) ] )
% 0.68/1.09 , clause( 38, [ =( multiply( Z, X ), multiply( X, Z ) ) ] )
% 0.68/1.09 , 0, clause( 228, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3
% 0.68/1.09 , multiply( b3, c3 ) ) ) ) ] )
% 0.68/1.09 , 0, 9, substitution( 0, [ :=( X, c3 ), :=( Y, X ), :=( Z, b3 )] ),
% 0.68/1.09 substitution( 1, [] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 246, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( multiply(
% 0.68/1.09 a3, b3 ), c3 ) ) ) ] )
% 0.68/1.09 , clause( 47, [ =( multiply( X, multiply( T, Y ) ), multiply( multiply( X,
% 0.68/1.09 Y ), T ) ) ] )
% 0.68/1.09 , 0, clause( 233, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3
% 0.68/1.09 , multiply( c3, b3 ) ) ) ) ] )
% 0.68/1.09 , 0, 7, substitution( 0, [ :=( X, a3 ), :=( Y, b3 ), :=( Z, X ), :=( T, c3
% 0.68/1.09 )] ), substitution( 1, [] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqrefl(
% 0.68/1.09 clause( 247, [] )
% 0.68/1.09 , clause( 246, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply(
% 0.68/1.09 multiply( a3, b3 ), c3 ) ) ) ] )
% 0.68/1.09 , 0, substitution( 0, [] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 66, [] )
% 0.68/1.09 , clause( 247, [] )
% 0.68/1.09 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 end.
% 0.68/1.09
% 0.68/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.68/1.09
% 0.68/1.09 Memory use:
% 0.68/1.09
% 0.68/1.09 space for terms: 819
% 0.68/1.09 space for clauses: 7386
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 clauses generated: 430
% 0.68/1.09 clauses kept: 67
% 0.68/1.09 clauses selected: 14
% 0.68/1.09 clauses deleted: 1
% 0.68/1.09 clauses inuse deleted: 0
% 0.68/1.09
% 0.68/1.09 subsentry: 1041
% 0.68/1.09 literals s-matched: 214
% 0.68/1.09 literals matched: 171
% 0.68/1.09 full subsumption: 0
% 0.68/1.09
% 0.68/1.09 checksum: -47816477
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 Bliksem ended
%------------------------------------------------------------------------------