TSTP Solution File: GRP520-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP520-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n004.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 0.72s 1.11s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP520-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n004.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 13:09:54 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.72/1.11 *** allocated 10000 integers for termspace/termends
% 0.72/1.11 *** allocated 10000 integers for clauses
% 0.72/1.11 *** allocated 10000 integers for justifications
% 0.72/1.11 Bliksem 1.12
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 Automatic Strategy Selection
% 0.72/1.11
% 0.72/1.11 Clauses:
% 0.72/1.11 [
% 0.72/1.11 [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y ) ), Z ),
% 0.72/1.11 Y ) ), Z ) ],
% 0.72/1.11 [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ]
% 0.72/1.11 ] .
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 percentage equality = 1.000000, percentage horn = 1.000000
% 0.72/1.11 This is a pure equality problem
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 Options Used:
% 0.72/1.11
% 0.72/1.11 useres = 1
% 0.72/1.11 useparamod = 1
% 0.72/1.11 useeqrefl = 1
% 0.72/1.11 useeqfact = 1
% 0.72/1.11 usefactor = 1
% 0.72/1.11 usesimpsplitting = 0
% 0.72/1.11 usesimpdemod = 5
% 0.72/1.11 usesimpres = 3
% 0.72/1.11
% 0.72/1.11 resimpinuse = 1000
% 0.72/1.11 resimpclauses = 20000
% 0.72/1.11 substype = eqrewr
% 0.72/1.11 backwardsubs = 1
% 0.72/1.11 selectoldest = 5
% 0.72/1.11
% 0.72/1.11 litorderings [0] = split
% 0.72/1.11 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.11
% 0.72/1.11 termordering = kbo
% 0.72/1.11
% 0.72/1.11 litapriori = 0
% 0.72/1.11 termapriori = 1
% 0.72/1.11 litaposteriori = 0
% 0.72/1.11 termaposteriori = 0
% 0.72/1.11 demodaposteriori = 0
% 0.72/1.11 ordereqreflfact = 0
% 0.72/1.11
% 0.72/1.11 litselect = negord
% 0.72/1.11
% 0.72/1.11 maxweight = 15
% 0.72/1.11 maxdepth = 30000
% 0.72/1.11 maxlength = 115
% 0.72/1.11 maxnrvars = 195
% 0.72/1.11 excuselevel = 1
% 0.72/1.11 increasemaxweight = 1
% 0.72/1.11
% 0.72/1.11 maxselected = 10000000
% 0.72/1.11 maxnrclauses = 10000000
% 0.72/1.11
% 0.72/1.11 showgenerated = 0
% 0.72/1.11 showkept = 0
% 0.72/1.11 showselected = 0
% 0.72/1.11 showdeleted = 0
% 0.72/1.11 showresimp = 1
% 0.72/1.11 showstatus = 2000
% 0.72/1.11
% 0.72/1.11 prologoutput = 1
% 0.72/1.11 nrgoals = 5000000
% 0.72/1.11 totalproof = 1
% 0.72/1.11
% 0.72/1.11 Symbols occurring in the translation:
% 0.72/1.11
% 0.72/1.11 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.11 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.72/1.11 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.72/1.11 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.11 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.11 multiply [41, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.72/1.11 inverse [42, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.72/1.11 a [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.72/1.11 b [45, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 Starting Search:
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 Bliksems!, er is een bewijs:
% 0.72/1.11 % SZS status Unsatisfiable
% 0.72/1.11 % SZS output start Refutation
% 0.72/1.11
% 0.72/1.11 clause( 0, [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y )
% 0.72/1.11 ), Z ), Y ) ), Z ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 1, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 2, [ =( multiply( multiply( inverse( multiply( inverse( multiply( X
% 0.72/1.11 , Y ) ), Z ) ), T ), Z ), multiply( X, multiply( T, Y ) ) ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 3, [ =( multiply( X, multiply( multiply( inverse( Z ), T ),
% 0.72/1.11 multiply( multiply( inverse( multiply( X, Y ) ), Z ), Y ) ) ), T ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 4, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X,
% 0.72/1.11 multiply( T, Y ) ) ), T ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 8, [ =( multiply( multiply( inverse( X ), Y ), X ), Y ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 15, [ =( multiply( Z, multiply( X, Y ) ), multiply( X, multiply( Z
% 0.72/1.11 , Y ) ) ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 20, [ =( multiply( multiply( inverse( X ), Y ), multiply( Z, X ) )
% 0.72/1.11 , multiply( Z, Y ) ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 26, [ =( multiply( inverse( Y ), multiply( Z, Y ) ), Z ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 29, [ =( multiply( Y, multiply( inverse( X ), X ) ), Y ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 33, [ =( multiply( inverse( multiply( inverse( X ), X ) ), Y ), Y )
% 0.72/1.11 ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 37, [ =( multiply( Z, X ), multiply( X, Z ) ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 62, [] )
% 0.72/1.11 .
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 % SZS output end Refutation
% 0.72/1.11 found a proof!
% 0.72/1.11
% 0.72/1.11 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.11
% 0.72/1.11 initialclauses(
% 0.72/1.11 [ clause( 64, [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y
% 0.72/1.11 ) ), Z ), Y ) ), Z ) ] )
% 0.72/1.11 , clause( 65, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.72/1.11 ] ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 0, [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y )
% 0.72/1.11 ), Z ), Y ) ), Z ) ] )
% 0.72/1.11 , clause( 64, [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y
% 0.72/1.11 ) ), Z ), Y ) ), Z ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 1, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.72/1.11 , clause( 65, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.72/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 eqswap(
% 0.72/1.11 clause( 69, [ =( Z, multiply( X, multiply( multiply( inverse( multiply( X,
% 0.72/1.11 Y ) ), Z ), Y ) ) ) ] )
% 0.72/1.11 , clause( 0, [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y
% 0.72/1.11 ) ), Z ), Y ) ), Z ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 paramod(
% 0.72/1.11 clause( 72, [ =( multiply( multiply( inverse( multiply( inverse( multiply(
% 0.72/1.11 X, Y ) ), Z ) ), T ), Z ), multiply( X, multiply( T, Y ) ) ) ] )
% 0.72/1.11 , clause( 0, [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y
% 0.72/1.11 ) ), Z ), Y ) ), Z ) ] )
% 0.72/1.11 , 0, clause( 69, [ =( Z, multiply( X, multiply( multiply( inverse( multiply(
% 0.72/1.11 X, Y ) ), Z ), Y ) ) ) ] )
% 0.72/1.11 , 0, 15, substitution( 0, [ :=( X, inverse( multiply( X, Y ) ) ), :=( Y, Z
% 0.72/1.11 ), :=( Z, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z,
% 0.72/1.11 multiply( multiply( inverse( multiply( inverse( multiply( X, Y ) ), Z ) )
% 0.72/1.11 , T ), Z ) )] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 2, [ =( multiply( multiply( inverse( multiply( inverse( multiply( X
% 0.72/1.11 , Y ) ), Z ) ), T ), Z ), multiply( X, multiply( T, Y ) ) ) ] )
% 0.72/1.11 , clause( 72, [ =( multiply( multiply( inverse( multiply( inverse( multiply(
% 0.72/1.11 X, Y ) ), Z ) ), T ), Z ), multiply( X, multiply( T, Y ) ) ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 eqswap(
% 0.72/1.11 clause( 76, [ =( Z, multiply( X, multiply( multiply( inverse( multiply( X,
% 0.72/1.11 Y ) ), Z ), Y ) ) ) ] )
% 0.72/1.11 , clause( 0, [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y
% 0.72/1.11 ) ), Z ), Y ) ), Z ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 paramod(
% 0.72/1.11 clause( 80, [ =( X, multiply( Y, multiply( multiply( inverse( T ), X ),
% 0.72/1.11 multiply( multiply( inverse( multiply( Y, Z ) ), T ), Z ) ) ) ) ] )
% 0.72/1.11 , clause( 0, [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y
% 0.72/1.11 ) ), Z ), Y ) ), Z ) ] )
% 0.72/1.11 , 0, clause( 76, [ =( Z, multiply( X, multiply( multiply( inverse( multiply(
% 0.72/1.11 X, Y ) ), Z ), Y ) ) ) ] )
% 0.72/1.11 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T )] ),
% 0.72/1.11 substitution( 1, [ :=( X, Y ), :=( Y, multiply( multiply( inverse(
% 0.72/1.11 multiply( Y, Z ) ), T ), Z ) ), :=( Z, X )] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 eqswap(
% 0.72/1.11 clause( 82, [ =( multiply( Y, multiply( multiply( inverse( Z ), X ),
% 0.72/1.11 multiply( multiply( inverse( multiply( Y, T ) ), Z ), T ) ) ), X ) ] )
% 0.72/1.11 , clause( 80, [ =( X, multiply( Y, multiply( multiply( inverse( T ), X ),
% 0.72/1.11 multiply( multiply( inverse( multiply( Y, Z ) ), T ), Z ) ) ) ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] )
% 0.72/1.11 ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 3, [ =( multiply( X, multiply( multiply( inverse( Z ), T ),
% 0.72/1.11 multiply( multiply( inverse( multiply( X, Y ) ), Z ), Y ) ) ), T ) ] )
% 0.72/1.11 , clause( 82, [ =( multiply( Y, multiply( multiply( inverse( Z ), X ),
% 0.72/1.11 multiply( multiply( inverse( multiply( Y, T ) ), Z ), T ) ) ), X ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Z ), :=( T, Y )] ),
% 0.72/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 eqswap(
% 0.72/1.11 clause( 84, [ =( Z, multiply( X, multiply( multiply( inverse( multiply( X,
% 0.72/1.11 Y ) ), Z ), Y ) ) ) ] )
% 0.72/1.11 , clause( 0, [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y
% 0.72/1.11 ) ), Z ), Y ) ), Z ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 paramod(
% 0.72/1.11 clause( 95, [ =( X, multiply( inverse( multiply( Y, Z ) ), multiply( Y,
% 0.72/1.11 multiply( X, Z ) ) ) ) ] )
% 0.72/1.11 , clause( 2, [ =( multiply( multiply( inverse( multiply( inverse( multiply(
% 0.72/1.11 X, Y ) ), Z ) ), T ), Z ), multiply( X, multiply( T, Y ) ) ) ] )
% 0.72/1.11 , 0, clause( 84, [ =( Z, multiply( X, multiply( multiply( inverse( multiply(
% 0.72/1.11 X, Y ) ), Z ), Y ) ) ) ] )
% 0.72/1.11 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, X )] )
% 0.72/1.11 , substitution( 1, [ :=( X, inverse( multiply( Y, Z ) ) ), :=( Y, T ),
% 0.72/1.11 :=( Z, X )] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 eqswap(
% 0.72/1.11 clause( 97, [ =( multiply( inverse( multiply( Y, Z ) ), multiply( Y,
% 0.72/1.11 multiply( X, Z ) ) ), X ) ] )
% 0.72/1.11 , clause( 95, [ =( X, multiply( inverse( multiply( Y, Z ) ), multiply( Y,
% 0.72/1.11 multiply( X, Z ) ) ) ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 4, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X,
% 0.72/1.11 multiply( T, Y ) ) ), T ) ] )
% 0.72/1.11 , clause( 97, [ =( multiply( inverse( multiply( Y, Z ) ), multiply( Y,
% 0.72/1.11 multiply( X, Z ) ) ), X ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y )] ),
% 0.72/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 eqswap(
% 0.72/1.11 clause( 100, [ =( Z, multiply( X, multiply( multiply( inverse( Y ), Z ),
% 0.72/1.11 multiply( multiply( inverse( multiply( X, T ) ), Y ), T ) ) ) ) ] )
% 0.72/1.11 , clause( 3, [ =( multiply( X, multiply( multiply( inverse( Z ), T ),
% 0.72/1.11 multiply( multiply( inverse( multiply( X, Y ) ), Z ), Y ) ) ), T ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Y ), :=( T, Z )] )
% 0.72/1.11 ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 paramod(
% 0.72/1.11 clause( 105, [ =( X, multiply( multiply( inverse( Y ), X ), Y ) ) ] )
% 0.72/1.11 , clause( 0, [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y
% 0.72/1.11 ) ), Z ), Y ) ), Z ) ] )
% 0.72/1.11 , 0, clause( 100, [ =( Z, multiply( X, multiply( multiply( inverse( Y ), Z
% 0.72/1.11 ), multiply( multiply( inverse( multiply( X, T ) ), Y ), T ) ) ) ) ] )
% 0.72/1.11 , 0, 7, substitution( 0, [ :=( X, multiply( inverse( Y ), X ) ), :=( Y, Z )
% 0.72/1.11 , :=( Z, Y )] ), substitution( 1, [ :=( X, multiply( inverse( Y ), X ) )
% 0.72/1.11 , :=( Y, Y ), :=( Z, X ), :=( T, Z )] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 eqswap(
% 0.72/1.11 clause( 109, [ =( multiply( multiply( inverse( Y ), X ), Y ), X ) ] )
% 0.72/1.11 , clause( 105, [ =( X, multiply( multiply( inverse( Y ), X ), Y ) ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 8, [ =( multiply( multiply( inverse( X ), Y ), X ), Y ) ] )
% 0.72/1.11 , clause( 109, [ =( multiply( multiply( inverse( Y ), X ), Y ), X ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.11 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 eqswap(
% 0.72/1.11 clause( 114, [ =( Y, multiply( multiply( inverse( X ), Y ), X ) ) ] )
% 0.72/1.11 , clause( 8, [ =( multiply( multiply( inverse( X ), Y ), X ), Y ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 paramod(
% 0.72/1.11 clause( 121, [ =( multiply( X, multiply( Y, Z ) ), multiply( Y, multiply( X
% 0.72/1.11 , Z ) ) ) ] )
% 0.72/1.11 , clause( 4, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X,
% 0.72/1.11 multiply( T, Y ) ) ), T ) ] )
% 0.72/1.11 , 0, clause( 114, [ =( Y, multiply( multiply( inverse( X ), Y ), X ) ) ] )
% 0.72/1.11 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 0.72/1.11 , substitution( 1, [ :=( X, multiply( X, Z ) ), :=( Y, multiply( X,
% 0.72/1.11 multiply( Y, Z ) ) )] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 15, [ =( multiply( Z, multiply( X, Y ) ), multiply( X, multiply( Z
% 0.72/1.11 , Y ) ) ) ] )
% 0.72/1.11 , clause( 121, [ =( multiply( X, multiply( Y, Z ) ), multiply( Y, multiply(
% 0.72/1.11 X, Z ) ) ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.72/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 paramod(
% 0.72/1.11 clause( 134, [ =( multiply( multiply( inverse( X ), Y ), multiply( Z, X ) )
% 0.72/1.11 , multiply( Z, Y ) ) ] )
% 0.72/1.11 , clause( 8, [ =( multiply( multiply( inverse( X ), Y ), X ), Y ) ] )
% 0.72/1.11 , 0, clause( 15, [ =( multiply( Z, multiply( X, Y ) ), multiply( X,
% 0.72/1.11 multiply( Z, Y ) ) ) ] )
% 0.72/1.11 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.11 :=( X, Z ), :=( Y, X ), :=( Z, multiply( inverse( X ), Y ) )] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 20, [ =( multiply( multiply( inverse( X ), Y ), multiply( Z, X ) )
% 0.72/1.11 , multiply( Z, Y ) ) ] )
% 0.72/1.11 , clause( 134, [ =( multiply( multiply( inverse( X ), Y ), multiply( Z, X )
% 0.72/1.11 ), multiply( Z, Y ) ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 eqswap(
% 0.72/1.11 clause( 136, [ =( Z, multiply( inverse( multiply( X, Y ) ), multiply( X,
% 0.72/1.11 multiply( Z, Y ) ) ) ) ] )
% 0.72/1.11 , clause( 4, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X,
% 0.72/1.11 multiply( T, Y ) ) ), T ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] )
% 0.72/1.11 ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 paramod(
% 0.72/1.11 clause( 142, [ =( X, multiply( inverse( multiply( multiply( inverse( Y ), Z
% 0.72/1.11 ), Y ) ), multiply( X, Z ) ) ) ] )
% 0.72/1.11 , clause( 20, [ =( multiply( multiply( inverse( X ), Y ), multiply( Z, X )
% 0.72/1.11 ), multiply( Z, Y ) ) ] )
% 0.72/1.11 , 0, clause( 136, [ =( Z, multiply( inverse( multiply( X, Y ) ), multiply(
% 0.72/1.11 X, multiply( Z, Y ) ) ) ) ] )
% 0.72/1.11 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.72/1.11 substitution( 1, [ :=( X, multiply( inverse( Y ), Z ) ), :=( Y, Y ), :=(
% 0.72/1.11 Z, X )] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 paramod(
% 0.72/1.11 clause( 144, [ =( X, multiply( inverse( Z ), multiply( X, Z ) ) ) ] )
% 0.72/1.11 , clause( 8, [ =( multiply( multiply( inverse( X ), Y ), X ), Y ) ] )
% 0.72/1.11 , 0, clause( 142, [ =( X, multiply( inverse( multiply( multiply( inverse( Y
% 0.72/1.11 ), Z ), Y ) ), multiply( X, Z ) ) ) ] )
% 0.72/1.11 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.72/1.11 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 eqswap(
% 0.72/1.11 clause( 145, [ =( multiply( inverse( Y ), multiply( X, Y ) ), X ) ] )
% 0.72/1.11 , clause( 144, [ =( X, multiply( inverse( Z ), multiply( X, Z ) ) ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 26, [ =( multiply( inverse( Y ), multiply( Z, Y ) ), Z ) ] )
% 0.72/1.11 , clause( 145, [ =( multiply( inverse( Y ), multiply( X, Y ) ), X ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.11 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 eqswap(
% 0.72/1.11 clause( 146, [ =( Y, multiply( inverse( X ), multiply( Y, X ) ) ) ] )
% 0.72/1.11 , clause( 26, [ =( multiply( inverse( Y ), multiply( Z, Y ) ), Z ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 paramod(
% 0.72/1.11 clause( 147, [ =( X, multiply( X, multiply( inverse( Y ), Y ) ) ) ] )
% 0.72/1.11 , clause( 15, [ =( multiply( Z, multiply( X, Y ) ), multiply( X, multiply(
% 0.72/1.11 Z, Y ) ) ) ] )
% 0.72/1.11 , 0, clause( 146, [ =( Y, multiply( inverse( X ), multiply( Y, X ) ) ) ] )
% 0.72/1.11 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, inverse( Y ) )] )
% 0.72/1.11 , substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 eqswap(
% 0.72/1.11 clause( 155, [ =( multiply( X, multiply( inverse( Y ), Y ) ), X ) ] )
% 0.72/1.11 , clause( 147, [ =( X, multiply( X, multiply( inverse( Y ), Y ) ) ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 29, [ =( multiply( Y, multiply( inverse( X ), X ) ), Y ) ] )
% 0.72/1.11 , clause( 155, [ =( multiply( X, multiply( inverse( Y ), Y ) ), X ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.11 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 eqswap(
% 0.72/1.11 clause( 161, [ =( Z, multiply( inverse( multiply( X, Y ) ), multiply( X,
% 0.72/1.11 multiply( Z, Y ) ) ) ) ] )
% 0.72/1.11 , clause( 4, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X,
% 0.72/1.11 multiply( T, Y ) ) ), T ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] )
% 0.72/1.11 ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 paramod(
% 0.72/1.11 clause( 167, [ =( X, multiply( inverse( multiply( inverse( Y ), Y ) ), X )
% 0.72/1.11 ) ] )
% 0.72/1.11 , clause( 26, [ =( multiply( inverse( Y ), multiply( Z, Y ) ), Z ) ] )
% 0.72/1.11 , 0, clause( 161, [ =( Z, multiply( inverse( multiply( X, Y ) ), multiply(
% 0.72/1.11 X, multiply( Z, Y ) ) ) ) ] )
% 0.72/1.11 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.72/1.11 substitution( 1, [ :=( X, inverse( Y ) ), :=( Y, Y ), :=( Z, X )] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 eqswap(
% 0.72/1.11 clause( 170, [ =( multiply( inverse( multiply( inverse( Y ), Y ) ), X ), X
% 0.72/1.11 ) ] )
% 0.72/1.11 , clause( 167, [ =( X, multiply( inverse( multiply( inverse( Y ), Y ) ), X
% 0.72/1.11 ) ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 33, [ =( multiply( inverse( multiply( inverse( X ), X ) ), Y ), Y )
% 0.72/1.11 ] )
% 0.72/1.11 , clause( 170, [ =( multiply( inverse( multiply( inverse( Y ), Y ) ), X ),
% 0.72/1.11 X ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.11 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 eqswap(
% 0.72/1.11 clause( 173, [ =( multiply( Z, Y ), multiply( multiply( inverse( X ), Y ),
% 0.72/1.11 multiply( Z, X ) ) ) ] )
% 0.72/1.11 , clause( 20, [ =( multiply( multiply( inverse( X ), Y ), multiply( Z, X )
% 0.72/1.11 ), multiply( Z, Y ) ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 paramod(
% 0.72/1.11 clause( 179, [ =( multiply( X, Y ), multiply( multiply( inverse( multiply(
% 0.72/1.11 inverse( Z ), Z ) ), Y ), X ) ) ] )
% 0.72/1.11 , clause( 29, [ =( multiply( Y, multiply( inverse( X ), X ) ), Y ) ] )
% 0.72/1.11 , 0, clause( 173, [ =( multiply( Z, Y ), multiply( multiply( inverse( X ),
% 0.72/1.11 Y ), multiply( Z, X ) ) ) ] )
% 0.72/1.11 , 0, 12, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 0.72/1.11 :=( X, multiply( inverse( Z ), Z ) ), :=( Y, Y ), :=( Z, X )] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 paramod(
% 0.72/1.11 clause( 181, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.72/1.11 , clause( 33, [ =( multiply( inverse( multiply( inverse( X ), X ) ), Y ), Y
% 0.72/1.11 ) ] )
% 0.72/1.11 , 0, clause( 179, [ =( multiply( X, Y ), multiply( multiply( inverse(
% 0.72/1.11 multiply( inverse( Z ), Z ) ), Y ), X ) ) ] )
% 0.72/1.11 , 0, 5, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.11 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 37, [ =( multiply( Z, X ), multiply( X, Z ) ) ] )
% 0.72/1.11 , clause( 181, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, Z ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.11 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 eqswap(
% 0.72/1.11 clause( 182, [ ~( =( multiply( b, a ), multiply( a, b ) ) ) ] )
% 0.72/1.11 , clause( 1, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.72/1.11 , 0, substitution( 0, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 paramod(
% 0.72/1.11 clause( 184, [ ~( =( multiply( b, a ), multiply( b, a ) ) ) ] )
% 0.72/1.11 , clause( 37, [ =( multiply( Z, X ), multiply( X, Z ) ) ] )
% 0.72/1.11 , 0, clause( 182, [ ~( =( multiply( b, a ), multiply( a, b ) ) ) ] )
% 0.72/1.11 , 0, 5, substitution( 0, [ :=( X, b ), :=( Y, X ), :=( Z, a )] ),
% 0.72/1.11 substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 eqrefl(
% 0.72/1.11 clause( 187, [] )
% 0.72/1.11 , clause( 184, [ ~( =( multiply( b, a ), multiply( b, a ) ) ) ] )
% 0.72/1.11 , 0, substitution( 0, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 62, [] )
% 0.72/1.11 , clause( 187, [] )
% 0.72/1.11 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 end.
% 0.72/1.11
% 0.72/1.11 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.11
% 0.72/1.11 Memory use:
% 0.72/1.11
% 0.72/1.11 space for terms: 759
% 0.72/1.11 space for clauses: 7034
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 clauses generated: 420
% 0.72/1.11 clauses kept: 63
% 0.72/1.11 clauses selected: 13
% 0.72/1.11 clauses deleted: 1
% 0.72/1.11 clauses inuse deleted: 0
% 0.72/1.11
% 0.72/1.11 subsentry: 599
% 0.72/1.11 literals s-matched: 150
% 0.72/1.11 literals matched: 121
% 0.72/1.11 full subsumption: 0
% 0.72/1.11
% 0.72/1.11 checksum: -1121520480
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 Bliksem ended
%------------------------------------------------------------------------------