TSTP Solution File: GRP518-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP518-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n007.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 0.42s 1.06s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP518-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n007.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 : Tue Jun 14 12:28:39 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.42/1.06 *** allocated 10000 integers for termspace/termends
% 0.42/1.06 *** allocated 10000 integers for clauses
% 0.42/1.06 *** allocated 10000 integers for justifications
% 0.42/1.06 Bliksem 1.12
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Automatic Strategy Selection
% 0.42/1.06
% 0.42/1.06 Clauses:
% 0.42/1.06 [
% 0.42/1.06 [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y ) ), Z ),
% 0.42/1.06 Y ) ), Z ) ],
% 0.42/1.06 [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ) ]
% 0.42/1.06 ] .
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 percentage equality = 1.000000, percentage horn = 1.000000
% 0.42/1.06 This is a pure equality problem
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Options Used:
% 0.42/1.06
% 0.42/1.06 useres = 1
% 0.42/1.06 useparamod = 1
% 0.42/1.06 useeqrefl = 1
% 0.42/1.06 useeqfact = 1
% 0.42/1.06 usefactor = 1
% 0.42/1.06 usesimpsplitting = 0
% 0.42/1.06 usesimpdemod = 5
% 0.42/1.06 usesimpres = 3
% 0.42/1.06
% 0.42/1.06 resimpinuse = 1000
% 0.42/1.06 resimpclauses = 20000
% 0.42/1.06 substype = eqrewr
% 0.42/1.06 backwardsubs = 1
% 0.42/1.06 selectoldest = 5
% 0.42/1.06
% 0.42/1.06 litorderings [0] = split
% 0.42/1.06 litorderings [1] = extend the termordering, first sorting on arguments
% 0.42/1.06
% 0.42/1.06 termordering = kbo
% 0.42/1.06
% 0.42/1.06 litapriori = 0
% 0.42/1.06 termapriori = 1
% 0.42/1.06 litaposteriori = 0
% 0.42/1.06 termaposteriori = 0
% 0.42/1.06 demodaposteriori = 0
% 0.42/1.06 ordereqreflfact = 0
% 0.42/1.06
% 0.42/1.06 litselect = negord
% 0.42/1.06
% 0.42/1.06 maxweight = 15
% 0.42/1.06 maxdepth = 30000
% 0.42/1.06 maxlength = 115
% 0.42/1.06 maxnrvars = 195
% 0.42/1.06 excuselevel = 1
% 0.42/1.06 increasemaxweight = 1
% 0.42/1.06
% 0.42/1.06 maxselected = 10000000
% 0.42/1.06 maxnrclauses = 10000000
% 0.42/1.06
% 0.42/1.06 showgenerated = 0
% 0.42/1.06 showkept = 0
% 0.42/1.06 showselected = 0
% 0.42/1.06 showdeleted = 0
% 0.42/1.06 showresimp = 1
% 0.42/1.06 showstatus = 2000
% 0.42/1.06
% 0.42/1.06 prologoutput = 1
% 0.42/1.06 nrgoals = 5000000
% 0.42/1.06 totalproof = 1
% 0.42/1.06
% 0.42/1.06 Symbols occurring in the translation:
% 0.42/1.06
% 0.42/1.06 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.42/1.06 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.42/1.06 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.42/1.06 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.06 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.06 multiply [41, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.42/1.06 inverse [42, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.42/1.06 b2 [44, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.42/1.06 a2 [45, 0] (w:1, o:12, a:1, s:1, b:0).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Starting Search:
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Bliksems!, er is een bewijs:
% 0.42/1.06 % SZS status Unsatisfiable
% 0.42/1.06 % SZS output start Refutation
% 0.42/1.06
% 0.42/1.06 clause( 0, [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y )
% 0.42/1.06 ), Z ), Y ) ), Z ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 1, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ) ]
% 0.42/1.06 )
% 0.42/1.06 .
% 0.42/1.06 clause( 2, [ =( multiply( multiply( inverse( multiply( inverse( multiply( X
% 0.42/1.06 , Y ) ), Z ) ), T ), Z ), multiply( X, multiply( T, Y ) ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 3, [ =( multiply( X, multiply( multiply( inverse( Z ), T ),
% 0.42/1.06 multiply( multiply( inverse( multiply( X, Y ) ), Z ), Y ) ) ), T ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 4, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X,
% 0.42/1.06 multiply( T, Y ) ) ), T ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 8, [ =( multiply( multiply( inverse( X ), Y ), X ), Y ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 15, [ =( multiply( Z, multiply( X, Y ) ), multiply( X, multiply( Z
% 0.42/1.06 , Y ) ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 20, [ =( multiply( multiply( inverse( X ), Y ), multiply( Z, X ) )
% 0.42/1.06 , multiply( Z, Y ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 26, [ =( multiply( inverse( Y ), multiply( Z, Y ) ), Z ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 29, [ =( multiply( Y, multiply( inverse( X ), X ) ), Y ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 33, [ =( multiply( inverse( multiply( inverse( X ), X ) ), Y ), Y )
% 0.42/1.06 ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 37, [ =( multiply( Z, X ), multiply( X, Z ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 62, [] )
% 0.42/1.06 .
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 % SZS output end Refutation
% 0.42/1.06 found a proof!
% 0.42/1.06
% 0.42/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.06
% 0.42/1.06 initialclauses(
% 0.42/1.06 [ clause( 64, [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y
% 0.42/1.06 ) ), Z ), Y ) ), Z ) ] )
% 0.42/1.06 , clause( 65, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) )
% 0.42/1.06 ] )
% 0.42/1.06 ] ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 0, [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y )
% 0.42/1.06 ), Z ), Y ) ), Z ) ] )
% 0.42/1.06 , clause( 64, [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y
% 0.42/1.06 ) ), Z ), Y ) ), Z ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.42/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 1, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ) ]
% 0.42/1.06 )
% 0.42/1.06 , clause( 65, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) )
% 0.42/1.06 ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 69, [ =( Z, multiply( X, multiply( multiply( inverse( multiply( X,
% 0.42/1.06 Y ) ), Z ), Y ) ) ) ] )
% 0.42/1.06 , clause( 0, [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y
% 0.42/1.06 ) ), Z ), Y ) ), Z ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 72, [ =( multiply( multiply( inverse( multiply( inverse( multiply(
% 0.42/1.06 X, Y ) ), Z ) ), T ), Z ), multiply( X, multiply( T, Y ) ) ) ] )
% 0.42/1.06 , clause( 0, [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y
% 0.42/1.06 ) ), Z ), Y ) ), Z ) ] )
% 0.42/1.06 , 0, clause( 69, [ =( Z, multiply( X, multiply( multiply( inverse( multiply(
% 0.42/1.06 X, Y ) ), Z ), Y ) ) ) ] )
% 0.42/1.06 , 0, 15, substitution( 0, [ :=( X, inverse( multiply( X, Y ) ) ), :=( Y, Z
% 0.42/1.06 ), :=( Z, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z,
% 0.42/1.06 multiply( multiply( inverse( multiply( inverse( multiply( X, Y ) ), Z ) )
% 0.42/1.06 , T ), Z ) )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 2, [ =( multiply( multiply( inverse( multiply( inverse( multiply( X
% 0.42/1.06 , Y ) ), Z ) ), T ), Z ), multiply( X, multiply( T, Y ) ) ) ] )
% 0.42/1.06 , clause( 72, [ =( multiply( multiply( inverse( multiply( inverse( multiply(
% 0.42/1.06 X, Y ) ), Z ) ), T ), Z ), multiply( X, multiply( T, Y ) ) ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.42/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 76, [ =( Z, multiply( X, multiply( multiply( inverse( multiply( X,
% 0.42/1.06 Y ) ), Z ), Y ) ) ) ] )
% 0.42/1.06 , clause( 0, [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y
% 0.42/1.06 ) ), Z ), Y ) ), Z ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 80, [ =( X, multiply( Y, multiply( multiply( inverse( T ), X ),
% 0.42/1.06 multiply( multiply( inverse( multiply( Y, Z ) ), T ), Z ) ) ) ) ] )
% 0.42/1.06 , clause( 0, [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y
% 0.42/1.06 ) ), Z ), Y ) ), Z ) ] )
% 0.42/1.06 , 0, clause( 76, [ =( Z, multiply( X, multiply( multiply( inverse( multiply(
% 0.42/1.06 X, Y ) ), Z ), Y ) ) ) ] )
% 0.42/1.06 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T )] ),
% 0.42/1.06 substitution( 1, [ :=( X, Y ), :=( Y, multiply( multiply( inverse(
% 0.42/1.06 multiply( Y, Z ) ), T ), Z ) ), :=( Z, X )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 82, [ =( multiply( Y, multiply( multiply( inverse( Z ), X ),
% 0.42/1.06 multiply( multiply( inverse( multiply( Y, T ) ), Z ), T ) ) ), X ) ] )
% 0.42/1.06 , clause( 80, [ =( X, multiply( Y, multiply( multiply( inverse( T ), X ),
% 0.42/1.06 multiply( multiply( inverse( multiply( Y, Z ) ), T ), Z ) ) ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] )
% 0.42/1.06 ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 3, [ =( multiply( X, multiply( multiply( inverse( Z ), T ),
% 0.42/1.06 multiply( multiply( inverse( multiply( X, Y ) ), Z ), Y ) ) ), T ) ] )
% 0.42/1.06 , clause( 82, [ =( multiply( Y, multiply( multiply( inverse( Z ), X ),
% 0.42/1.06 multiply( multiply( inverse( multiply( Y, T ) ), Z ), T ) ) ), X ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Z ), :=( T, Y )] ),
% 0.42/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 84, [ =( Z, multiply( X, multiply( multiply( inverse( multiply( X,
% 0.42/1.06 Y ) ), Z ), Y ) ) ) ] )
% 0.42/1.06 , clause( 0, [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y
% 0.42/1.06 ) ), Z ), Y ) ), Z ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 95, [ =( X, multiply( inverse( multiply( Y, Z ) ), multiply( Y,
% 0.42/1.06 multiply( X, Z ) ) ) ) ] )
% 0.42/1.06 , clause( 2, [ =( multiply( multiply( inverse( multiply( inverse( multiply(
% 0.42/1.06 X, Y ) ), Z ) ), T ), Z ), multiply( X, multiply( T, Y ) ) ) ] )
% 0.42/1.06 , 0, clause( 84, [ =( Z, multiply( X, multiply( multiply( inverse( multiply(
% 0.42/1.06 X, Y ) ), Z ), Y ) ) ) ] )
% 0.42/1.06 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, X )] )
% 0.42/1.06 , substitution( 1, [ :=( X, inverse( multiply( Y, Z ) ) ), :=( Y, T ),
% 0.42/1.06 :=( Z, X )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 97, [ =( multiply( inverse( multiply( Y, Z ) ), multiply( Y,
% 0.42/1.06 multiply( X, Z ) ) ), X ) ] )
% 0.42/1.06 , clause( 95, [ =( X, multiply( inverse( multiply( Y, Z ) ), multiply( Y,
% 0.42/1.06 multiply( X, Z ) ) ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 4, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X,
% 0.42/1.06 multiply( T, Y ) ) ), T ) ] )
% 0.42/1.06 , clause( 97, [ =( multiply( inverse( multiply( Y, Z ) ), multiply( Y,
% 0.42/1.06 multiply( X, Z ) ) ), X ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y )] ),
% 0.42/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 100, [ =( Z, multiply( X, multiply( multiply( inverse( Y ), Z ),
% 0.42/1.06 multiply( multiply( inverse( multiply( X, T ) ), Y ), T ) ) ) ) ] )
% 0.42/1.06 , clause( 3, [ =( multiply( X, multiply( multiply( inverse( Z ), T ),
% 0.42/1.06 multiply( multiply( inverse( multiply( X, Y ) ), Z ), Y ) ) ), T ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Y ), :=( T, Z )] )
% 0.42/1.06 ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 105, [ =( X, multiply( multiply( inverse( Y ), X ), Y ) ) ] )
% 0.42/1.06 , clause( 0, [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y
% 0.42/1.06 ) ), Z ), Y ) ), Z ) ] )
% 0.42/1.06 , 0, clause( 100, [ =( Z, multiply( X, multiply( multiply( inverse( Y ), Z
% 0.42/1.06 ), multiply( multiply( inverse( multiply( X, T ) ), Y ), T ) ) ) ) ] )
% 0.42/1.06 , 0, 7, substitution( 0, [ :=( X, multiply( inverse( Y ), X ) ), :=( Y, Z )
% 0.42/1.06 , :=( Z, Y )] ), substitution( 1, [ :=( X, multiply( inverse( Y ), X ) )
% 0.42/1.06 , :=( Y, Y ), :=( Z, X ), :=( T, Z )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 109, [ =( multiply( multiply( inverse( Y ), X ), Y ), X ) ] )
% 0.42/1.06 , clause( 105, [ =( X, multiply( multiply( inverse( Y ), X ), Y ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 8, [ =( multiply( multiply( inverse( X ), Y ), X ), Y ) ] )
% 0.42/1.06 , clause( 109, [ =( multiply( multiply( inverse( Y ), X ), Y ), X ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.06 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 114, [ =( Y, multiply( multiply( inverse( X ), Y ), X ) ) ] )
% 0.42/1.06 , clause( 8, [ =( multiply( multiply( inverse( X ), Y ), X ), Y ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 121, [ =( multiply( X, multiply( Y, Z ) ), multiply( Y, multiply( X
% 0.42/1.06 , Z ) ) ) ] )
% 0.42/1.06 , clause( 4, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X,
% 0.42/1.06 multiply( T, Y ) ) ), T ) ] )
% 0.42/1.06 , 0, clause( 114, [ =( Y, multiply( multiply( inverse( X ), Y ), X ) ) ] )
% 0.42/1.06 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 0.42/1.06 , substitution( 1, [ :=( X, multiply( X, Z ) ), :=( Y, multiply( X,
% 0.42/1.06 multiply( Y, Z ) ) )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 15, [ =( multiply( Z, multiply( X, Y ) ), multiply( X, multiply( Z
% 0.42/1.06 , Y ) ) ) ] )
% 0.42/1.06 , clause( 121, [ =( multiply( X, multiply( Y, Z ) ), multiply( Y, multiply(
% 0.42/1.06 X, Z ) ) ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.42/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 134, [ =( multiply( multiply( inverse( X ), Y ), multiply( Z, X ) )
% 0.42/1.06 , multiply( Z, Y ) ) ] )
% 0.42/1.06 , clause( 8, [ =( multiply( multiply( inverse( X ), Y ), X ), Y ) ] )
% 0.42/1.06 , 0, clause( 15, [ =( multiply( Z, multiply( X, Y ) ), multiply( X,
% 0.42/1.06 multiply( Z, Y ) ) ) ] )
% 0.42/1.06 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.42/1.06 :=( X, Z ), :=( Y, X ), :=( Z, multiply( inverse( X ), Y ) )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 20, [ =( multiply( multiply( inverse( X ), Y ), multiply( Z, X ) )
% 0.42/1.06 , multiply( Z, Y ) ) ] )
% 0.42/1.06 , clause( 134, [ =( multiply( multiply( inverse( X ), Y ), multiply( Z, X )
% 0.42/1.06 ), multiply( Z, Y ) ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.42/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 136, [ =( Z, multiply( inverse( multiply( X, Y ) ), multiply( X,
% 0.42/1.06 multiply( Z, Y ) ) ) ) ] )
% 0.42/1.06 , clause( 4, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X,
% 0.42/1.06 multiply( T, Y ) ) ), T ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] )
% 0.42/1.06 ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 142, [ =( X, multiply( inverse( multiply( multiply( inverse( Y ), Z
% 0.42/1.06 ), Y ) ), multiply( X, Z ) ) ) ] )
% 0.42/1.06 , clause( 20, [ =( multiply( multiply( inverse( X ), Y ), multiply( Z, X )
% 0.42/1.06 ), multiply( Z, Y ) ) ] )
% 0.42/1.06 , 0, clause( 136, [ =( Z, multiply( inverse( multiply( X, Y ) ), multiply(
% 0.42/1.06 X, multiply( Z, Y ) ) ) ) ] )
% 0.42/1.06 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.42/1.06 substitution( 1, [ :=( X, multiply( inverse( Y ), Z ) ), :=( Y, Y ), :=(
% 0.42/1.06 Z, X )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 144, [ =( X, multiply( inverse( Z ), multiply( X, Z ) ) ) ] )
% 0.42/1.06 , clause( 8, [ =( multiply( multiply( inverse( X ), Y ), X ), Y ) ] )
% 0.42/1.06 , 0, clause( 142, [ =( X, multiply( inverse( multiply( multiply( inverse( Y
% 0.42/1.06 ), Z ), Y ) ), multiply( X, Z ) ) ) ] )
% 0.42/1.06 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.42/1.06 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 145, [ =( multiply( inverse( Y ), multiply( X, Y ) ), X ) ] )
% 0.42/1.06 , clause( 144, [ =( X, multiply( inverse( Z ), multiply( X, Z ) ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 26, [ =( multiply( inverse( Y ), multiply( Z, Y ) ), Z ) ] )
% 0.42/1.06 , clause( 145, [ =( multiply( inverse( Y ), multiply( X, Y ) ), X ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.06 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 146, [ =( Y, multiply( inverse( X ), multiply( Y, X ) ) ) ] )
% 0.42/1.06 , clause( 26, [ =( multiply( inverse( Y ), multiply( Z, Y ) ), Z ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 147, [ =( X, multiply( X, multiply( inverse( Y ), Y ) ) ) ] )
% 0.42/1.06 , clause( 15, [ =( multiply( Z, multiply( X, Y ) ), multiply( X, multiply(
% 0.42/1.06 Z, Y ) ) ) ] )
% 0.42/1.06 , 0, clause( 146, [ =( Y, multiply( inverse( X ), multiply( Y, X ) ) ) ] )
% 0.42/1.06 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, inverse( Y ) )] )
% 0.42/1.06 , substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 155, [ =( multiply( X, multiply( inverse( Y ), Y ) ), X ) ] )
% 0.42/1.06 , clause( 147, [ =( X, multiply( X, multiply( inverse( Y ), Y ) ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 29, [ =( multiply( Y, multiply( inverse( X ), X ) ), Y ) ] )
% 0.42/1.06 , clause( 155, [ =( multiply( X, multiply( inverse( Y ), Y ) ), X ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.06 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 161, [ =( Z, multiply( inverse( multiply( X, Y ) ), multiply( X,
% 0.42/1.06 multiply( Z, Y ) ) ) ) ] )
% 0.42/1.06 , clause( 4, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X,
% 0.42/1.06 multiply( T, Y ) ) ), T ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] )
% 0.42/1.06 ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 167, [ =( X, multiply( inverse( multiply( inverse( Y ), Y ) ), X )
% 0.42/1.06 ) ] )
% 0.42/1.06 , clause( 26, [ =( multiply( inverse( Y ), multiply( Z, Y ) ), Z ) ] )
% 0.42/1.06 , 0, clause( 161, [ =( Z, multiply( inverse( multiply( X, Y ) ), multiply(
% 0.42/1.06 X, multiply( Z, Y ) ) ) ) ] )
% 0.42/1.06 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.42/1.06 substitution( 1, [ :=( X, inverse( Y ) ), :=( Y, Y ), :=( Z, X )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 170, [ =( multiply( inverse( multiply( inverse( Y ), Y ) ), X ), X
% 0.42/1.06 ) ] )
% 0.42/1.06 , clause( 167, [ =( X, multiply( inverse( multiply( inverse( Y ), Y ) ), X
% 0.42/1.06 ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 33, [ =( multiply( inverse( multiply( inverse( X ), X ) ), Y ), Y )
% 0.42/1.06 ] )
% 0.42/1.06 , clause( 170, [ =( multiply( inverse( multiply( inverse( Y ), Y ) ), X ),
% 0.42/1.06 X ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.06 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 173, [ =( multiply( Z, Y ), multiply( multiply( inverse( X ), Y ),
% 0.42/1.06 multiply( Z, X ) ) ) ] )
% 0.42/1.06 , clause( 20, [ =( multiply( multiply( inverse( X ), Y ), multiply( Z, X )
% 0.42/1.06 ), multiply( Z, Y ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 179, [ =( multiply( X, Y ), multiply( multiply( inverse( multiply(
% 0.42/1.06 inverse( Z ), Z ) ), Y ), X ) ) ] )
% 0.42/1.06 , clause( 29, [ =( multiply( Y, multiply( inverse( X ), X ) ), Y ) ] )
% 0.42/1.06 , 0, clause( 173, [ =( multiply( Z, Y ), multiply( multiply( inverse( X ),
% 0.42/1.06 Y ), multiply( Z, X ) ) ) ] )
% 0.42/1.06 , 0, 12, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 0.42/1.06 :=( X, multiply( inverse( Z ), Z ) ), :=( Y, Y ), :=( Z, X )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 181, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.42/1.06 , clause( 33, [ =( multiply( inverse( multiply( inverse( X ), X ) ), Y ), Y
% 0.42/1.06 ) ] )
% 0.42/1.06 , 0, clause( 179, [ =( multiply( X, Y ), multiply( multiply( inverse(
% 0.42/1.06 multiply( inverse( Z ), Z ) ), Y ), X ) ) ] )
% 0.42/1.06 , 0, 5, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.42/1.06 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 37, [ =( multiply( Z, X ), multiply( X, Z ) ) ] )
% 0.42/1.06 , clause( 181, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, Z ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.06 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 182, [ ~( =( a2, multiply( multiply( inverse( b2 ), b2 ), a2 ) ) )
% 0.42/1.06 ] )
% 0.42/1.06 , clause( 1, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) )
% 0.42/1.06 ] )
% 0.42/1.06 , 0, substitution( 0, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 184, [ ~( =( a2, multiply( a2, multiply( inverse( b2 ), b2 ) ) ) )
% 0.42/1.06 ] )
% 0.42/1.06 , clause( 37, [ =( multiply( Z, X ), multiply( X, Z ) ) ] )
% 0.42/1.06 , 0, clause( 182, [ ~( =( a2, multiply( multiply( inverse( b2 ), b2 ), a2 )
% 0.42/1.06 ) ) ] )
% 0.42/1.06 , 0, 3, substitution( 0, [ :=( X, a2 ), :=( Y, X ), :=( Z, multiply(
% 0.42/1.06 inverse( b2 ), b2 ) )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 188, [ ~( =( a2, a2 ) ) ] )
% 0.42/1.06 , clause( 29, [ =( multiply( Y, multiply( inverse( X ), X ) ), Y ) ] )
% 0.42/1.06 , 0, clause( 184, [ ~( =( a2, multiply( a2, multiply( inverse( b2 ), b2 ) )
% 0.42/1.06 ) ) ] )
% 0.42/1.06 , 0, 3, substitution( 0, [ :=( X, b2 ), :=( Y, a2 )] ), substitution( 1, [] )
% 0.42/1.06 ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqrefl(
% 0.42/1.06 clause( 189, [] )
% 0.42/1.06 , clause( 188, [ ~( =( a2, a2 ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 62, [] )
% 0.42/1.06 , clause( 189, [] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 end.
% 0.42/1.06
% 0.42/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.06
% 0.42/1.06 Memory use:
% 0.42/1.06
% 0.42/1.06 space for terms: 762
% 0.42/1.06 space for clauses: 7044
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 clauses generated: 420
% 0.42/1.06 clauses kept: 63
% 0.42/1.06 clauses selected: 13
% 0.42/1.06 clauses deleted: 1
% 0.42/1.06 clauses inuse deleted: 0
% 0.42/1.06
% 0.42/1.06 subsentry: 592
% 0.42/1.06 literals s-matched: 147
% 0.42/1.06 literals matched: 118
% 0.42/1.06 full subsumption: 0
% 0.42/1.06
% 0.42/1.06 checksum: 580512325
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Bliksem ended
%------------------------------------------------------------------------------