TSTP Solution File: GRP011-4 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP011-4 : TPTP v8.1.0. Released v1.0.0.
% 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 07:34:17 EDT 2022
% Result : Unsatisfiable 0.67s 1.04s
% Output : Refutation 0.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP011-4 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.12 % Command : bliksem %s
% 0.13/0.34 % Computer : n007.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 04:53:54 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.67/1.04 *** allocated 10000 integers for termspace/termends
% 0.67/1.04 *** allocated 10000 integers for clauses
% 0.67/1.04 *** allocated 10000 integers for justifications
% 0.67/1.04 Bliksem 1.12
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 Automatic Strategy Selection
% 0.67/1.04
% 0.67/1.04 Clauses:
% 0.67/1.04 [
% 0.67/1.04 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 0.67/1.04 ],
% 0.67/1.04 [ =( multiply( identity, X ), X ) ],
% 0.67/1.04 [ =( multiply( inverse( X ), X ), identity ) ],
% 0.67/1.04 [ =( multiply( b, c ), multiply( d, c ) ) ],
% 0.67/1.04 [ ~( =( b, d ) ) ]
% 0.67/1.04 ] .
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 percentage equality = 1.000000, percentage horn = 1.000000
% 0.67/1.04 This is a pure equality problem
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 Options Used:
% 0.67/1.04
% 0.67/1.04 useres = 1
% 0.67/1.04 useparamod = 1
% 0.67/1.04 useeqrefl = 1
% 0.67/1.04 useeqfact = 1
% 0.67/1.04 usefactor = 1
% 0.67/1.04 usesimpsplitting = 0
% 0.67/1.04 usesimpdemod = 5
% 0.67/1.04 usesimpres = 3
% 0.67/1.04
% 0.67/1.04 resimpinuse = 1000
% 0.67/1.04 resimpclauses = 20000
% 0.67/1.04 substype = eqrewr
% 0.67/1.04 backwardsubs = 1
% 0.67/1.04 selectoldest = 5
% 0.67/1.04
% 0.67/1.04 litorderings [0] = split
% 0.67/1.04 litorderings [1] = extend the termordering, first sorting on arguments
% 0.67/1.04
% 0.67/1.04 termordering = kbo
% 0.67/1.04
% 0.67/1.04 litapriori = 0
% 0.67/1.04 termapriori = 1
% 0.67/1.04 litaposteriori = 0
% 0.67/1.04 termaposteriori = 0
% 0.67/1.04 demodaposteriori = 0
% 0.67/1.04 ordereqreflfact = 0
% 0.67/1.04
% 0.67/1.04 litselect = negord
% 0.67/1.04
% 0.67/1.04 maxweight = 15
% 0.67/1.04 maxdepth = 30000
% 0.67/1.04 maxlength = 115
% 0.67/1.04 maxnrvars = 195
% 0.67/1.04 excuselevel = 1
% 0.67/1.04 increasemaxweight = 1
% 0.67/1.04
% 0.67/1.04 maxselected = 10000000
% 0.67/1.04 maxnrclauses = 10000000
% 0.67/1.04
% 0.67/1.04 showgenerated = 0
% 0.67/1.04 showkept = 0
% 0.67/1.04 showselected = 0
% 0.67/1.04 showdeleted = 0
% 0.67/1.04 showresimp = 1
% 0.67/1.04 showstatus = 2000
% 0.67/1.04
% 0.67/1.04 prologoutput = 1
% 0.67/1.04 nrgoals = 5000000
% 0.67/1.04 totalproof = 1
% 0.67/1.04
% 0.67/1.04 Symbols occurring in the translation:
% 0.67/1.04
% 0.67/1.04 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.67/1.04 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.67/1.04 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.67/1.04 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.67/1.04 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.67/1.04 multiply [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.67/1.04 identity [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.67/1.04 inverse [44, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.67/1.04 b [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.67/1.04 c [46, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.67/1.04 d [47, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 Starting Search:
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 Bliksems!, er is een bewijs:
% 0.67/1.04 % SZS status Unsatisfiable
% 0.67/1.04 % SZS output start Refutation
% 0.67/1.04
% 0.67/1.04 clause( 0, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.67/1.04 , Z ) ) ] )
% 0.67/1.04 .
% 0.67/1.04 clause( 1, [ =( multiply( identity, X ), X ) ] )
% 0.67/1.04 .
% 0.67/1.04 clause( 2, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.67/1.04 .
% 0.67/1.04 clause( 3, [ =( multiply( d, c ), multiply( b, c ) ) ] )
% 0.67/1.04 .
% 0.67/1.04 clause( 4, [ ~( =( d, b ) ) ] )
% 0.67/1.04 .
% 0.67/1.04 clause( 7, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 0.67/1.04 identity ) ) ] )
% 0.67/1.04 .
% 0.67/1.04 clause( 8, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 0.67/1.04 ] )
% 0.67/1.04 .
% 0.67/1.04 clause( 25, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.67/1.04 .
% 0.67/1.04 clause( 26, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y ) )
% 0.67/1.04 ] )
% 0.67/1.04 .
% 0.67/1.04 clause( 30, [ =( multiply( X, identity ), X ) ] )
% 0.67/1.04 .
% 0.67/1.04 clause( 31, [ =( inverse( inverse( X ) ), X ) ] )
% 0.67/1.04 .
% 0.67/1.04 clause( 33, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.67/1.04 .
% 0.67/1.04 clause( 39, [ =( d, b ) ] )
% 0.67/1.04 .
% 0.67/1.04 clause( 40, [] )
% 0.67/1.04 .
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 % SZS output end Refutation
% 0.67/1.04 found a proof!
% 0.67/1.04
% 0.67/1.04 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.67/1.04
% 0.67/1.04 initialclauses(
% 0.67/1.04 [ clause( 42, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.67/1.04 Y, Z ) ) ) ] )
% 0.67/1.04 , clause( 43, [ =( multiply( identity, X ), X ) ] )
% 0.67/1.04 , clause( 44, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.67/1.04 , clause( 45, [ =( multiply( b, c ), multiply( d, c ) ) ] )
% 0.67/1.04 , clause( 46, [ ~( =( b, d ) ) ] )
% 0.67/1.04 ] ).
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 eqswap(
% 0.67/1.04 clause( 47, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.67/1.04 ), Z ) ) ] )
% 0.67/1.04 , clause( 42, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.67/1.04 Y, Z ) ) ) ] )
% 0.67/1.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 subsumption(
% 0.67/1.04 clause( 0, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.67/1.04 , Z ) ) ] )
% 0.67/1.04 , clause( 47, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X,
% 0.67/1.04 Y ), Z ) ) ] )
% 0.67/1.04 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.67/1.04 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 subsumption(
% 0.67/1.04 clause( 1, [ =( multiply( identity, X ), X ) ] )
% 0.67/1.04 , clause( 43, [ =( multiply( identity, X ), X ) ] )
% 0.67/1.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 subsumption(
% 0.67/1.04 clause( 2, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.67/1.04 , clause( 44, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.67/1.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 eqswap(
% 0.67/1.04 clause( 56, [ =( multiply( d, c ), multiply( b, c ) ) ] )
% 0.67/1.04 , clause( 45, [ =( multiply( b, c ), multiply( d, c ) ) ] )
% 0.67/1.04 , 0, substitution( 0, [] )).
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 subsumption(
% 0.67/1.04 clause( 3, [ =( multiply( d, c ), multiply( b, c ) ) ] )
% 0.67/1.04 , clause( 56, [ =( multiply( d, c ), multiply( b, c ) ) ] )
% 0.67/1.04 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 eqswap(
% 0.67/1.04 clause( 61, [ ~( =( d, b ) ) ] )
% 0.67/1.04 , clause( 46, [ ~( =( b, d ) ) ] )
% 0.67/1.04 , 0, substitution( 0, [] )).
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 subsumption(
% 0.67/1.04 clause( 4, [ ~( =( d, b ) ) ] )
% 0.67/1.04 , clause( 61, [ ~( =( d, b ) ) ] )
% 0.67/1.04 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 eqswap(
% 0.67/1.04 clause( 63, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y
% 0.67/1.04 , Z ) ) ) ] )
% 0.67/1.04 , clause( 0, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.67/1.04 ), Z ) ) ] )
% 0.67/1.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 paramod(
% 0.67/1.04 clause( 68, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply( X,
% 0.67/1.04 identity ) ) ] )
% 0.67/1.04 , clause( 2, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.67/1.04 , 0, clause( 63, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.67/1.04 multiply( Y, Z ) ) ) ] )
% 0.67/1.04 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.67/1.04 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 subsumption(
% 0.67/1.04 clause( 7, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 0.67/1.04 identity ) ) ] )
% 0.67/1.04 , clause( 68, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply( X
% 0.67/1.04 , identity ) ) ] )
% 0.67/1.04 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.67/1.04 )] ) ).
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 eqswap(
% 0.67/1.04 clause( 73, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y
% 0.67/1.04 , Z ) ) ) ] )
% 0.67/1.04 , clause( 0, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.67/1.04 ), Z ) ) ] )
% 0.67/1.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 paramod(
% 0.67/1.04 clause( 78, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y ) )
% 0.67/1.04 ] )
% 0.67/1.04 , clause( 1, [ =( multiply( identity, X ), X ) ] )
% 0.67/1.04 , 0, clause( 73, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.67/1.04 multiply( Y, Z ) ) ) ] )
% 0.67/1.04 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.67/1.04 :=( Y, identity ), :=( Z, Y )] )).
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 subsumption(
% 0.67/1.04 clause( 8, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 0.67/1.04 ] )
% 0.67/1.04 , clause( 78, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y )
% 0.67/1.04 ) ] )
% 0.67/1.04 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.67/1.04 )] ) ).
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 eqswap(
% 0.67/1.04 clause( 84, [ =( multiply( X, identity ), multiply( multiply( X, inverse( Y
% 0.67/1.04 ) ), Y ) ) ] )
% 0.67/1.04 , clause( 7, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 0.67/1.04 identity ) ) ] )
% 0.67/1.04 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 paramod(
% 0.67/1.04 clause( 87, [ =( multiply( inverse( inverse( X ) ), identity ), multiply(
% 0.67/1.04 identity, X ) ) ] )
% 0.67/1.04 , clause( 2, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.67/1.04 , 0, clause( 84, [ =( multiply( X, identity ), multiply( multiply( X,
% 0.67/1.04 inverse( Y ) ), Y ) ) ] )
% 0.67/1.04 , 0, 7, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.67/1.04 :=( X, inverse( inverse( X ) ) ), :=( Y, X )] )).
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 paramod(
% 0.67/1.04 clause( 88, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.67/1.04 , clause( 1, [ =( multiply( identity, X ), X ) ] )
% 0.67/1.04 , 0, clause( 87, [ =( multiply( inverse( inverse( X ) ), identity ),
% 0.67/1.04 multiply( identity, X ) ) ] )
% 0.67/1.04 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.67/1.04 ).
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 subsumption(
% 0.67/1.04 clause( 25, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.67/1.04 , clause( 88, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.67/1.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 eqswap(
% 0.67/1.04 clause( 91, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y ) )
% 0.67/1.04 ] )
% 0.67/1.04 , clause( 8, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 0.67/1.04 ) ] )
% 0.67/1.04 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 paramod(
% 0.67/1.04 clause( 94, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y ) )
% 0.67/1.04 ] )
% 0.67/1.04 , clause( 25, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.67/1.04 , 0, clause( 91, [ =( multiply( X, Y ), multiply( multiply( X, identity ),
% 0.67/1.04 Y ) ) ] )
% 0.67/1.04 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.67/1.04 inverse( X ) ) ), :=( Y, Y )] )).
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 subsumption(
% 0.67/1.04 clause( 26, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y ) )
% 0.67/1.04 ] )
% 0.67/1.04 , clause( 94, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.67/1.04 ) ] )
% 0.67/1.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.67/1.04 )] ) ).
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 eqswap(
% 0.67/1.04 clause( 100, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y )
% 0.67/1.04 ) ] )
% 0.67/1.04 , clause( 26, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.67/1.04 ) ] )
% 0.67/1.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 paramod(
% 0.67/1.04 clause( 103, [ =( multiply( X, identity ), X ) ] )
% 0.67/1.04 , clause( 25, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.67/1.04 , 0, clause( 100, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) )
% 0.67/1.04 , Y ) ) ] )
% 0.67/1.04 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.67/1.04 :=( Y, identity )] )).
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 subsumption(
% 0.67/1.04 clause( 30, [ =( multiply( X, identity ), X ) ] )
% 0.67/1.04 , clause( 103, [ =( multiply( X, identity ), X ) ] )
% 0.67/1.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 eqswap(
% 0.67/1.04 clause( 109, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 0.67/1.04 Y ) ), Y ) ) ] )
% 0.67/1.04 , clause( 7, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 0.67/1.04 identity ) ) ] )
% 0.67/1.04 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 paramod(
% 0.67/1.04 clause( 115, [ =( multiply( inverse( inverse( X ) ), identity ), multiply(
% 0.67/1.04 multiply( X, inverse( Y ) ), Y ) ) ] )
% 0.67/1.04 , clause( 26, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.67/1.04 ) ] )
% 0.67/1.04 , 0, clause( 109, [ =( multiply( X, identity ), multiply( multiply( X,
% 0.67/1.04 inverse( Y ) ), Y ) ) ] )
% 0.67/1.04 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, inverse( Y ) )] ),
% 0.67/1.04 substitution( 1, [ :=( X, inverse( inverse( X ) ) ), :=( Y, Y )] )).
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 paramod(
% 0.67/1.04 clause( 117, [ =( multiply( inverse( inverse( X ) ), identity ), multiply(
% 0.67/1.04 X, identity ) ) ] )
% 0.67/1.04 , clause( 7, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 0.67/1.04 identity ) ) ] )
% 0.67/1.04 , 0, clause( 115, [ =( multiply( inverse( inverse( X ) ), identity ),
% 0.67/1.04 multiply( multiply( X, inverse( Y ) ), Y ) ) ] )
% 0.67/1.04 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.67/1.04 :=( X, X ), :=( Y, Y )] )).
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 paramod(
% 0.67/1.04 clause( 119, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.67/1.04 , clause( 30, [ =( multiply( X, identity ), X ) ] )
% 0.67/1.04 , 0, clause( 117, [ =( multiply( inverse( inverse( X ) ), identity ),
% 0.67/1.04 multiply( X, identity ) ) ] )
% 0.67/1.04 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.67/1.04 ).
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 paramod(
% 0.67/1.04 clause( 121, [ =( inverse( inverse( X ) ), X ) ] )
% 0.67/1.04 , clause( 30, [ =( multiply( X, identity ), X ) ] )
% 0.67/1.04 , 0, clause( 119, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ]
% 0.67/1.04 )
% 0.67/1.04 , 0, 1, substitution( 0, [ :=( X, inverse( inverse( X ) ) )] ),
% 0.67/1.04 substitution( 1, [ :=( X, X )] )).
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 subsumption(
% 0.67/1.04 clause( 31, [ =( inverse( inverse( X ) ), X ) ] )
% 0.67/1.04 , clause( 121, [ =( inverse( inverse( X ) ), X ) ] )
% 0.67/1.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 eqswap(
% 0.67/1.04 clause( 124, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 0.67/1.04 Y ) ), Y ) ) ] )
% 0.67/1.04 , clause( 7, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 0.67/1.04 identity ) ) ] )
% 0.67/1.04 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 paramod(
% 0.67/1.04 clause( 126, [ =( multiply( X, identity ), multiply( multiply( X, Y ),
% 0.67/1.04 inverse( Y ) ) ) ] )
% 0.67/1.04 , clause( 31, [ =( inverse( inverse( X ) ), X ) ] )
% 0.67/1.04 , 0, clause( 124, [ =( multiply( X, identity ), multiply( multiply( X,
% 0.67/1.04 inverse( Y ) ), Y ) ) ] )
% 0.67/1.04 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.67/1.04 :=( Y, inverse( Y ) )] )).
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 paramod(
% 0.67/1.04 clause( 127, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.67/1.04 , clause( 30, [ =( multiply( X, identity ), X ) ] )
% 0.67/1.04 , 0, clause( 126, [ =( multiply( X, identity ), multiply( multiply( X, Y )
% 0.67/1.04 , inverse( Y ) ) ) ] )
% 0.67/1.04 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.67/1.04 :=( Y, Y )] )).
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 eqswap(
% 0.67/1.04 clause( 128, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 0.67/1.04 , clause( 127, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.67/1.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 subsumption(
% 0.67/1.04 clause( 33, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.67/1.04 , clause( 128, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 0.67/1.04 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.67/1.04 )] ) ).
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 eqswap(
% 0.67/1.04 clause( 130, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.67/1.04 , clause( 33, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.67/1.04 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 paramod(
% 0.67/1.04 clause( 132, [ =( d, multiply( multiply( b, c ), inverse( c ) ) ) ] )
% 0.67/1.04 , clause( 3, [ =( multiply( d, c ), multiply( b, c ) ) ] )
% 0.67/1.04 , 0, clause( 130, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.67/1.04 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, d ), :=( Y, c )] )
% 0.67/1.04 ).
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 paramod(
% 0.67/1.04 clause( 133, [ =( d, b ) ] )
% 0.67/1.04 , clause( 33, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.67/1.04 , 0, clause( 132, [ =( d, multiply( multiply( b, c ), inverse( c ) ) ) ] )
% 0.67/1.04 , 0, 2, substitution( 0, [ :=( X, c ), :=( Y, b )] ), substitution( 1, [] )
% 0.67/1.04 ).
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 subsumption(
% 0.67/1.04 clause( 39, [ =( d, b ) ] )
% 0.67/1.04 , clause( 133, [ =( d, b ) ] )
% 0.67/1.04 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 resolution(
% 0.67/1.04 clause( 137, [] )
% 0.67/1.04 , clause( 4, [ ~( =( d, b ) ) ] )
% 0.67/1.04 , 0, clause( 39, [ =( d, b ) ] )
% 0.67/1.04 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 subsumption(
% 0.67/1.04 clause( 40, [] )
% 0.67/1.04 , clause( 137, [] )
% 0.67/1.04 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 end.
% 0.67/1.04
% 0.67/1.04 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.67/1.04
% 0.67/1.04 Memory use:
% 0.67/1.04
% 0.67/1.04 space for terms: 451
% 0.67/1.04 space for clauses: 3869
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 clauses generated: 262
% 0.67/1.04 clauses kept: 41
% 0.67/1.04 clauses selected: 21
% 0.67/1.04 clauses deleted: 2
% 0.67/1.04 clauses inuse deleted: 0
% 0.67/1.04
% 0.67/1.04 subsentry: 317
% 0.67/1.04 literals s-matched: 101
% 0.67/1.04 literals matched: 93
% 0.67/1.04 full subsumption: 0
% 0.67/1.04
% 0.67/1.04 checksum: 699693185
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 Bliksem ended
%------------------------------------------------------------------------------