TSTP Solution File: GRP517-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP517-1 : 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 07:37:25 EDT 2022
% Result : Unsatisfiable 0.42s 1.08s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP517-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Mon Jun 13 21:23:18 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.42/1.08 *** allocated 10000 integers for termspace/termends
% 0.42/1.08 *** allocated 10000 integers for clauses
% 0.42/1.08 *** allocated 10000 integers for justifications
% 0.42/1.08 Bliksem 1.12
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Automatic Strategy Selection
% 0.42/1.08
% 0.42/1.08 Clauses:
% 0.42/1.08 [
% 0.42/1.08 [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y ) ), Z ),
% 0.42/1.08 Y ) ), Z ) ],
% 0.42/1.08 [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1 ) ) )
% 0.42/1.08 ]
% 0.42/1.08 ] .
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 percentage equality = 1.000000, percentage horn = 1.000000
% 0.42/1.08 This is a pure equality problem
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Options Used:
% 0.42/1.08
% 0.42/1.08 useres = 1
% 0.42/1.08 useparamod = 1
% 0.42/1.08 useeqrefl = 1
% 0.42/1.08 useeqfact = 1
% 0.42/1.08 usefactor = 1
% 0.42/1.08 usesimpsplitting = 0
% 0.42/1.08 usesimpdemod = 5
% 0.42/1.08 usesimpres = 3
% 0.42/1.08
% 0.42/1.08 resimpinuse = 1000
% 0.42/1.08 resimpclauses = 20000
% 0.42/1.08 substype = eqrewr
% 0.42/1.08 backwardsubs = 1
% 0.42/1.08 selectoldest = 5
% 0.42/1.08
% 0.42/1.08 litorderings [0] = split
% 0.42/1.08 litorderings [1] = extend the termordering, first sorting on arguments
% 0.42/1.08
% 0.42/1.08 termordering = kbo
% 0.42/1.08
% 0.42/1.08 litapriori = 0
% 0.42/1.08 termapriori = 1
% 0.42/1.08 litaposteriori = 0
% 0.42/1.08 termaposteriori = 0
% 0.42/1.08 demodaposteriori = 0
% 0.42/1.08 ordereqreflfact = 0
% 0.42/1.08
% 0.42/1.08 litselect = negord
% 0.42/1.08
% 0.42/1.08 maxweight = 15
% 0.42/1.08 maxdepth = 30000
% 0.42/1.08 maxlength = 115
% 0.42/1.08 maxnrvars = 195
% 0.42/1.08 excuselevel = 1
% 0.42/1.08 increasemaxweight = 1
% 0.42/1.08
% 0.42/1.08 maxselected = 10000000
% 0.42/1.08 maxnrclauses = 10000000
% 0.42/1.08
% 0.42/1.08 showgenerated = 0
% 0.42/1.08 showkept = 0
% 0.42/1.08 showselected = 0
% 0.42/1.08 showdeleted = 0
% 0.42/1.08 showresimp = 1
% 0.42/1.08 showstatus = 2000
% 0.42/1.08
% 0.42/1.08 prologoutput = 1
% 0.42/1.08 nrgoals = 5000000
% 0.42/1.08 totalproof = 1
% 0.42/1.08
% 0.42/1.08 Symbols occurring in the translation:
% 0.42/1.08
% 0.42/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.42/1.08 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.42/1.08 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.42/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.08 multiply [41, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.42/1.08 inverse [42, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.42/1.08 a1 [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.42/1.08 b1 [45, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Starting Search:
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Bliksems!, er is een bewijs:
% 0.42/1.08 % SZS status Unsatisfiable
% 0.42/1.08 % SZS output start Refutation
% 0.42/1.08
% 0.42/1.08 clause( 0, [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y )
% 0.42/1.08 ), Z ), Y ) ), Z ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 1, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 ),
% 0.42/1.08 a1 ) ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 2, [ =( multiply( multiply( inverse( multiply( inverse( multiply( X
% 0.42/1.08 , Y ) ), Z ) ), T ), Z ), multiply( X, multiply( T, Y ) ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 3, [ =( multiply( X, multiply( multiply( inverse( Z ), T ),
% 0.42/1.08 multiply( multiply( inverse( multiply( X, Y ) ), Z ), Y ) ) ), T ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 4, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X,
% 0.42/1.08 multiply( T, Y ) ) ), T ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 8, [ =( multiply( multiply( inverse( X ), Y ), X ), Y ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 15, [ =( multiply( Z, multiply( X, Y ) ), multiply( X, multiply( Z
% 0.42/1.08 , Y ) ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 20, [ =( multiply( multiply( inverse( X ), Y ), multiply( Z, X ) )
% 0.42/1.08 , multiply( Z, Y ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 26, [ =( multiply( inverse( Y ), multiply( Z, Y ) ), Z ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 29, [ =( multiply( Y, multiply( inverse( X ), X ) ), Y ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 39, [ =( multiply( inverse( X ), X ), multiply( inverse( Y ), Y ) )
% 0.42/1.08 ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 82, [ ~( =( multiply( inverse( X ), X ), multiply( inverse( a1 ),
% 0.42/1.08 a1 ) ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 83, [] )
% 0.42/1.08 .
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 % SZS output end Refutation
% 0.42/1.08 found a proof!
% 0.42/1.08
% 0.42/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.08
% 0.42/1.08 initialclauses(
% 0.42/1.08 [ clause( 85, [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y
% 0.42/1.08 ) ), Z ), Y ) ), Z ) ] )
% 0.42/1.08 , clause( 86, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1
% 0.42/1.08 ), b1 ) ) ) ] )
% 0.42/1.08 ] ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 0, [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y )
% 0.42/1.08 ), Z ), Y ) ), Z ) ] )
% 0.42/1.08 , clause( 85, [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y
% 0.42/1.08 ) ), Z ), Y ) ), Z ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.42/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 89, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 )
% 0.42/1.08 , a1 ) ) ) ] )
% 0.42/1.08 , clause( 86, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1
% 0.42/1.08 ), b1 ) ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 1, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 ),
% 0.42/1.08 a1 ) ) ) ] )
% 0.42/1.08 , clause( 89, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1
% 0.42/1.08 ), a1 ) ) ) ] )
% 0.42/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 90, [ =( Z, multiply( X, multiply( multiply( inverse( multiply( X,
% 0.42/1.08 Y ) ), Z ), Y ) ) ) ] )
% 0.42/1.08 , clause( 0, [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y
% 0.42/1.08 ) ), Z ), Y ) ), Z ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 93, [ =( multiply( multiply( inverse( multiply( inverse( multiply(
% 0.42/1.08 X, Y ) ), Z ) ), T ), Z ), multiply( X, multiply( T, Y ) ) ) ] )
% 0.42/1.08 , clause( 0, [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y
% 0.42/1.08 ) ), Z ), Y ) ), Z ) ] )
% 0.42/1.08 , 0, clause( 90, [ =( Z, multiply( X, multiply( multiply( inverse( multiply(
% 0.42/1.08 X, Y ) ), Z ), Y ) ) ) ] )
% 0.42/1.08 , 0, 15, substitution( 0, [ :=( X, inverse( multiply( X, Y ) ) ), :=( Y, Z
% 0.42/1.08 ), :=( Z, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z,
% 0.42/1.08 multiply( multiply( inverse( multiply( inverse( multiply( X, Y ) ), Z ) )
% 0.42/1.08 , T ), Z ) )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 2, [ =( multiply( multiply( inverse( multiply( inverse( multiply( X
% 0.42/1.08 , Y ) ), Z ) ), T ), Z ), multiply( X, multiply( T, Y ) ) ) ] )
% 0.42/1.08 , clause( 93, [ =( multiply( multiply( inverse( multiply( inverse( multiply(
% 0.42/1.08 X, Y ) ), Z ) ), T ), Z ), multiply( X, multiply( T, Y ) ) ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.42/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 97, [ =( Z, multiply( X, multiply( multiply( inverse( multiply( X,
% 0.42/1.08 Y ) ), Z ), Y ) ) ) ] )
% 0.42/1.08 , clause( 0, [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y
% 0.42/1.08 ) ), Z ), Y ) ), Z ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 101, [ =( X, multiply( Y, multiply( multiply( inverse( T ), X ),
% 0.42/1.08 multiply( multiply( inverse( multiply( Y, Z ) ), T ), Z ) ) ) ) ] )
% 0.42/1.08 , clause( 0, [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y
% 0.42/1.08 ) ), Z ), Y ) ), Z ) ] )
% 0.42/1.08 , 0, clause( 97, [ =( Z, multiply( X, multiply( multiply( inverse( multiply(
% 0.42/1.08 X, Y ) ), Z ), Y ) ) ) ] )
% 0.42/1.08 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T )] ),
% 0.42/1.08 substitution( 1, [ :=( X, Y ), :=( Y, multiply( multiply( inverse(
% 0.42/1.08 multiply( Y, Z ) ), T ), Z ) ), :=( Z, X )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 103, [ =( multiply( Y, multiply( multiply( inverse( Z ), X ),
% 0.42/1.08 multiply( multiply( inverse( multiply( Y, T ) ), Z ), T ) ) ), X ) ] )
% 0.42/1.08 , clause( 101, [ =( X, multiply( Y, multiply( multiply( inverse( T ), X ),
% 0.42/1.08 multiply( multiply( inverse( multiply( Y, Z ) ), T ), Z ) ) ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] )
% 0.42/1.08 ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 3, [ =( multiply( X, multiply( multiply( inverse( Z ), T ),
% 0.42/1.08 multiply( multiply( inverse( multiply( X, Y ) ), Z ), Y ) ) ), T ) ] )
% 0.42/1.08 , clause( 103, [ =( multiply( Y, multiply( multiply( inverse( Z ), X ),
% 0.42/1.08 multiply( multiply( inverse( multiply( Y, T ) ), Z ), T ) ) ), X ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Z ), :=( T, Y )] ),
% 0.42/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 105, [ =( Z, multiply( X, multiply( multiply( inverse( multiply( X
% 0.42/1.08 , Y ) ), Z ), Y ) ) ) ] )
% 0.42/1.08 , clause( 0, [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y
% 0.42/1.08 ) ), Z ), Y ) ), Z ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 116, [ =( X, multiply( inverse( multiply( Y, Z ) ), multiply( Y,
% 0.42/1.08 multiply( X, Z ) ) ) ) ] )
% 0.42/1.08 , clause( 2, [ =( multiply( multiply( inverse( multiply( inverse( multiply(
% 0.42/1.08 X, Y ) ), Z ) ), T ), Z ), multiply( X, multiply( T, Y ) ) ) ] )
% 0.42/1.08 , 0, clause( 105, [ =( Z, multiply( X, multiply( multiply( inverse(
% 0.42/1.08 multiply( X, Y ) ), Z ), Y ) ) ) ] )
% 0.42/1.08 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, X )] )
% 0.42/1.08 , substitution( 1, [ :=( X, inverse( multiply( Y, Z ) ) ), :=( Y, T ),
% 0.42/1.08 :=( Z, X )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 118, [ =( multiply( inverse( multiply( Y, Z ) ), multiply( Y,
% 0.42/1.08 multiply( X, Z ) ) ), X ) ] )
% 0.42/1.08 , clause( 116, [ =( X, multiply( inverse( multiply( Y, Z ) ), multiply( Y,
% 0.42/1.08 multiply( X, Z ) ) ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 4, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X,
% 0.42/1.08 multiply( T, Y ) ) ), T ) ] )
% 0.42/1.08 , clause( 118, [ =( multiply( inverse( multiply( Y, Z ) ), multiply( Y,
% 0.42/1.08 multiply( X, Z ) ) ), X ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y )] ),
% 0.42/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 121, [ =( Z, multiply( X, multiply( multiply( inverse( Y ), Z ),
% 0.42/1.08 multiply( multiply( inverse( multiply( X, T ) ), Y ), T ) ) ) ) ] )
% 0.42/1.08 , clause( 3, [ =( multiply( X, multiply( multiply( inverse( Z ), T ),
% 0.42/1.08 multiply( multiply( inverse( multiply( X, Y ) ), Z ), Y ) ) ), T ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Y ), :=( T, Z )] )
% 0.42/1.08 ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 126, [ =( X, multiply( multiply( inverse( Y ), X ), Y ) ) ] )
% 0.42/1.08 , clause( 0, [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y
% 0.42/1.08 ) ), Z ), Y ) ), Z ) ] )
% 0.42/1.08 , 0, clause( 121, [ =( Z, multiply( X, multiply( multiply( inverse( Y ), Z
% 0.42/1.08 ), multiply( multiply( inverse( multiply( X, T ) ), Y ), T ) ) ) ) ] )
% 0.42/1.08 , 0, 7, substitution( 0, [ :=( X, multiply( inverse( Y ), X ) ), :=( Y, Z )
% 0.42/1.08 , :=( Z, Y )] ), substitution( 1, [ :=( X, multiply( inverse( Y ), X ) )
% 0.42/1.08 , :=( Y, Y ), :=( Z, X ), :=( T, Z )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 130, [ =( multiply( multiply( inverse( Y ), X ), Y ), X ) ] )
% 0.42/1.08 , clause( 126, [ =( X, multiply( multiply( inverse( Y ), X ), Y ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 8, [ =( multiply( multiply( inverse( X ), Y ), X ), Y ) ] )
% 0.42/1.08 , clause( 130, [ =( multiply( multiply( inverse( Y ), X ), Y ), X ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.08 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 135, [ =( Y, multiply( multiply( inverse( X ), Y ), X ) ) ] )
% 0.42/1.08 , clause( 8, [ =( multiply( multiply( inverse( X ), Y ), X ), Y ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 142, [ =( multiply( X, multiply( Y, Z ) ), multiply( Y, multiply( X
% 0.42/1.08 , Z ) ) ) ] )
% 0.42/1.08 , clause( 4, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X,
% 0.42/1.08 multiply( T, Y ) ) ), T ) ] )
% 0.42/1.08 , 0, clause( 135, [ =( Y, multiply( multiply( inverse( X ), Y ), X ) ) ] )
% 0.42/1.08 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 0.42/1.08 , substitution( 1, [ :=( X, multiply( X, Z ) ), :=( Y, multiply( X,
% 0.42/1.08 multiply( Y, Z ) ) )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 15, [ =( multiply( Z, multiply( X, Y ) ), multiply( X, multiply( Z
% 0.42/1.08 , Y ) ) ) ] )
% 0.42/1.08 , clause( 142, [ =( multiply( X, multiply( Y, Z ) ), multiply( Y, multiply(
% 0.42/1.08 X, Z ) ) ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.42/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 155, [ =( multiply( multiply( inverse( X ), Y ), multiply( Z, X ) )
% 0.42/1.08 , multiply( Z, Y ) ) ] )
% 0.42/1.08 , clause( 8, [ =( multiply( multiply( inverse( X ), Y ), X ), Y ) ] )
% 0.42/1.08 , 0, clause( 15, [ =( multiply( Z, multiply( X, Y ) ), multiply( X,
% 0.42/1.08 multiply( Z, Y ) ) ) ] )
% 0.42/1.08 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.42/1.08 :=( X, Z ), :=( Y, X ), :=( Z, multiply( inverse( X ), Y ) )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 20, [ =( multiply( multiply( inverse( X ), Y ), multiply( Z, X ) )
% 0.42/1.08 , multiply( Z, Y ) ) ] )
% 0.42/1.08 , clause( 155, [ =( multiply( multiply( inverse( X ), Y ), multiply( Z, X )
% 0.42/1.08 ), multiply( Z, Y ) ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.42/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 157, [ =( Z, multiply( inverse( multiply( X, Y ) ), multiply( X,
% 0.42/1.08 multiply( Z, Y ) ) ) ) ] )
% 0.42/1.08 , clause( 4, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X,
% 0.42/1.08 multiply( T, Y ) ) ), T ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] )
% 0.42/1.08 ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 163, [ =( X, multiply( inverse( multiply( multiply( inverse( Y ), Z
% 0.42/1.08 ), Y ) ), multiply( X, Z ) ) ) ] )
% 0.42/1.08 , clause( 20, [ =( multiply( multiply( inverse( X ), Y ), multiply( Z, X )
% 0.42/1.08 ), multiply( Z, Y ) ) ] )
% 0.42/1.08 , 0, clause( 157, [ =( Z, multiply( inverse( multiply( X, Y ) ), multiply(
% 0.42/1.08 X, multiply( Z, Y ) ) ) ) ] )
% 0.42/1.08 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.42/1.08 substitution( 1, [ :=( X, multiply( inverse( Y ), Z ) ), :=( Y, Y ), :=(
% 0.42/1.08 Z, X )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 165, [ =( X, multiply( inverse( Z ), multiply( X, Z ) ) ) ] )
% 0.42/1.08 , clause( 8, [ =( multiply( multiply( inverse( X ), Y ), X ), Y ) ] )
% 0.42/1.08 , 0, clause( 163, [ =( X, multiply( inverse( multiply( multiply( inverse( Y
% 0.42/1.08 ), Z ), Y ) ), multiply( X, Z ) ) ) ] )
% 0.42/1.08 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.42/1.08 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 166, [ =( multiply( inverse( Y ), multiply( X, Y ) ), X ) ] )
% 0.42/1.08 , clause( 165, [ =( X, multiply( inverse( Z ), multiply( X, Z ) ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 26, [ =( multiply( inverse( Y ), multiply( Z, Y ) ), Z ) ] )
% 0.42/1.08 , clause( 166, [ =( multiply( inverse( Y ), multiply( X, Y ) ), X ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.08 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 167, [ =( Y, multiply( inverse( X ), multiply( Y, X ) ) ) ] )
% 0.42/1.08 , clause( 26, [ =( multiply( inverse( Y ), multiply( Z, Y ) ), Z ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 168, [ =( X, multiply( X, multiply( inverse( Y ), Y ) ) ) ] )
% 0.42/1.08 , clause( 15, [ =( multiply( Z, multiply( X, Y ) ), multiply( X, multiply(
% 0.42/1.08 Z, Y ) ) ) ] )
% 0.42/1.08 , 0, clause( 167, [ =( Y, multiply( inverse( X ), multiply( Y, X ) ) ) ] )
% 0.42/1.08 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, inverse( Y ) )] )
% 0.42/1.08 , substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 176, [ =( multiply( X, multiply( inverse( Y ), Y ) ), X ) ] )
% 0.42/1.08 , clause( 168, [ =( X, multiply( X, multiply( inverse( Y ), Y ) ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 29, [ =( multiply( Y, multiply( inverse( X ), X ) ), Y ) ] )
% 0.42/1.08 , clause( 176, [ =( multiply( X, multiply( inverse( Y ), Y ) ), X ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.08 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 182, [ =( Y, multiply( multiply( inverse( X ), Y ), X ) ) ] )
% 0.42/1.08 , clause( 8, [ =( multiply( multiply( inverse( X ), Y ), X ), Y ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 186, [ =( multiply( inverse( X ), X ), multiply( inverse( Y ), Y )
% 0.42/1.08 ) ] )
% 0.42/1.08 , clause( 29, [ =( multiply( Y, multiply( inverse( X ), X ) ), Y ) ] )
% 0.42/1.08 , 0, clause( 182, [ =( Y, multiply( multiply( inverse( X ), Y ), X ) ) ] )
% 0.42/1.08 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, inverse( Y ) )] ),
% 0.42/1.08 substitution( 1, [ :=( X, Y ), :=( Y, multiply( inverse( X ), X ) )] )
% 0.42/1.08 ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 39, [ =( multiply( inverse( X ), X ), multiply( inverse( Y ), Y ) )
% 0.42/1.08 ] )
% 0.42/1.08 , clause( 186, [ =( multiply( inverse( X ), X ), multiply( inverse( Y ), Y
% 0.42/1.08 ) ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.08 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 188, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 )
% 0.42/1.08 , b1 ) ) ) ] )
% 0.42/1.08 , clause( 1, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 )
% 0.42/1.08 , a1 ) ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 190, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( X )
% 0.42/1.08 , X ) ) ) ] )
% 0.42/1.08 , clause( 39, [ =( multiply( inverse( X ), X ), multiply( inverse( Y ), Y )
% 0.42/1.08 ) ] )
% 0.42/1.08 , 0, clause( 188, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse(
% 0.42/1.08 b1 ), b1 ) ) ) ] )
% 0.42/1.08 , 0, 6, substitution( 0, [ :=( X, b1 ), :=( Y, X )] ), substitution( 1, [] )
% 0.42/1.08 ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 191, [ ~( =( multiply( inverse( Y ), Y ), multiply( inverse( X ), X
% 0.42/1.08 ) ) ) ] )
% 0.42/1.08 , clause( 39, [ =( multiply( inverse( X ), X ), multiply( inverse( Y ), Y )
% 0.42/1.08 ) ] )
% 0.42/1.08 , 0, clause( 190, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse(
% 0.42/1.08 X ), X ) ) ) ] )
% 0.42/1.08 , 0, 2, substitution( 0, [ :=( X, a1 ), :=( Y, Y )] ), substitution( 1, [
% 0.42/1.08 :=( X, X )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 82, [ ~( =( multiply( inverse( X ), X ), multiply( inverse( a1 ),
% 0.42/1.08 a1 ) ) ) ] )
% 0.42/1.08 , clause( 191, [ ~( =( multiply( inverse( Y ), Y ), multiply( inverse( X )
% 0.42/1.08 , X ) ) ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, a1 ), :=( Y, X )] ), permutation( 0, [ ==>( 0,
% 0.42/1.08 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 192, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( X )
% 0.42/1.08 , X ) ) ) ] )
% 0.42/1.08 , clause( 82, [ ~( =( multiply( inverse( X ), X ), multiply( inverse( a1 )
% 0.42/1.08 , a1 ) ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqrefl(
% 0.42/1.08 clause( 193, [] )
% 0.42/1.08 , clause( 192, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( X
% 0.42/1.08 ), X ) ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, a1 )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 83, [] )
% 0.42/1.08 , clause( 193, [] )
% 0.42/1.08 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 end.
% 0.42/1.08
% 0.42/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.08
% 0.42/1.08 Memory use:
% 0.42/1.08
% 0.42/1.08 space for terms: 997
% 0.42/1.08 space for clauses: 9130
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 clauses generated: 886
% 0.42/1.08 clauses kept: 84
% 0.42/1.08 clauses selected: 21
% 0.42/1.08 clauses deleted: 6
% 0.42/1.08 clauses inuse deleted: 0
% 0.42/1.08
% 0.42/1.08 subsentry: 672
% 0.42/1.08 literals s-matched: 277
% 0.42/1.08 literals matched: 256
% 0.42/1.08 full subsumption: 0
% 0.42/1.08
% 0.42/1.08 checksum: 1456062894
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Bliksem ended
%------------------------------------------------------------------------------