TSTP Solution File: GRP464-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP464-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n005.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 07:37:09 EDT 2022
% Result : Unsatisfiable 0.46s 1.09s
% Output : Refutation 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GRP464-1 : TPTP v8.1.0. Released v2.6.0.
% 0.08/0.15 % Command : bliksem %s
% 0.15/0.36 % Computer : n005.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % DateTime : Tue Jun 14 07:10:09 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.46/1.09 *** allocated 10000 integers for termspace/termends
% 0.46/1.09 *** allocated 10000 integers for clauses
% 0.46/1.09 *** allocated 10000 integers for justifications
% 0.46/1.09 Bliksem 1.12
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 Automatic Strategy Selection
% 0.46/1.09
% 0.46/1.09 Clauses:
% 0.46/1.09 [
% 0.46/1.09 [ =( divide( X, divide( divide( divide( divide( X, X ), Y ), Z ), divide(
% 0.46/1.09 divide( identity, X ), Z ) ) ), Y ) ],
% 0.46/1.09 [ =( multiply( X, Y ), divide( X, divide( identity, Y ) ) ) ],
% 0.46/1.09 [ =( inverse( X ), divide( identity, X ) ) ],
% 0.46/1.09 [ =( identity, divide( X, X ) ) ],
% 0.46/1.09 [ ~( =( multiply( identity, a2 ), a2 ) ) ]
% 0.46/1.09 ] .
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 percentage equality = 1.000000, percentage horn = 1.000000
% 0.46/1.09 This is a pure equality problem
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 Options Used:
% 0.46/1.09
% 0.46/1.09 useres = 1
% 0.46/1.09 useparamod = 1
% 0.46/1.09 useeqrefl = 1
% 0.46/1.09 useeqfact = 1
% 0.46/1.09 usefactor = 1
% 0.46/1.09 usesimpsplitting = 0
% 0.46/1.09 usesimpdemod = 5
% 0.46/1.09 usesimpres = 3
% 0.46/1.09
% 0.46/1.09 resimpinuse = 1000
% 0.46/1.09 resimpclauses = 20000
% 0.46/1.09 substype = eqrewr
% 0.46/1.09 backwardsubs = 1
% 0.46/1.09 selectoldest = 5
% 0.46/1.09
% 0.46/1.09 litorderings [0] = split
% 0.46/1.09 litorderings [1] = extend the termordering, first sorting on arguments
% 0.46/1.09
% 0.46/1.09 termordering = kbo
% 0.46/1.09
% 0.46/1.09 litapriori = 0
% 0.46/1.09 termapriori = 1
% 0.46/1.09 litaposteriori = 0
% 0.46/1.09 termaposteriori = 0
% 0.46/1.09 demodaposteriori = 0
% 0.46/1.09 ordereqreflfact = 0
% 0.46/1.09
% 0.46/1.09 litselect = negord
% 0.46/1.09
% 0.46/1.09 maxweight = 15
% 0.46/1.09 maxdepth = 30000
% 0.46/1.09 maxlength = 115
% 0.46/1.09 maxnrvars = 195
% 0.46/1.09 excuselevel = 1
% 0.46/1.09 increasemaxweight = 1
% 0.46/1.09
% 0.46/1.09 maxselected = 10000000
% 0.46/1.09 maxnrclauses = 10000000
% 0.46/1.09
% 0.46/1.09 showgenerated = 0
% 0.46/1.09 showkept = 0
% 0.46/1.09 showselected = 0
% 0.46/1.09 showdeleted = 0
% 0.46/1.09 showresimp = 1
% 0.46/1.09 showstatus = 2000
% 0.46/1.09
% 0.46/1.09 prologoutput = 1
% 0.46/1.09 nrgoals = 5000000
% 0.46/1.09 totalproof = 1
% 0.46/1.09
% 0.46/1.09 Symbols occurring in the translation:
% 0.46/1.09
% 0.46/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.46/1.09 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.46/1.09 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.46/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.46/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.46/1.09 divide [40, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.46/1.09 identity [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.46/1.09 multiply [44, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.46/1.09 inverse [45, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.46/1.09 a2 [46, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 Starting Search:
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 Bliksems!, er is een bewijs:
% 0.46/1.09 % SZS status Unsatisfiable
% 0.46/1.09 % SZS output start Refutation
% 0.46/1.09
% 0.46/1.09 clause( 0, [ =( divide( X, divide( divide( divide( divide( X, X ), Y ), Z )
% 0.46/1.09 , divide( divide( identity, X ), Z ) ) ), Y ) ] )
% 0.46/1.09 .
% 0.46/1.09 clause( 1, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ] )
% 0.46/1.09 .
% 0.46/1.09 clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.46/1.09 .
% 0.46/1.09 clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.46/1.09 .
% 0.46/1.09 clause( 4, [ ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.46/1.09 .
% 0.46/1.09 clause( 5, [ =( inverse( identity ), identity ) ] )
% 0.46/1.09 .
% 0.46/1.09 clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.46/1.09 .
% 0.46/1.09 clause( 7, [ =( divide( X, divide( divide( inverse( Y ), Z ), divide(
% 0.46/1.09 inverse( X ), Z ) ) ), Y ) ] )
% 0.46/1.09 .
% 0.46/1.09 clause( 8, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 0.46/1.09 .
% 0.46/1.09 clause( 9, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.46/1.09 .
% 0.46/1.09 clause( 11, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.46/1.09 .
% 0.46/1.09 clause( 15, [ =( divide( X, identity ), X ) ] )
% 0.46/1.09 .
% 0.46/1.09 clause( 16, [ =( multiply( Y, multiply( inverse( Y ), X ) ), X ) ] )
% 0.46/1.09 .
% 0.46/1.09 clause( 20, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.46/1.09 .
% 0.46/1.09 clause( 21, [ =( inverse( inverse( X ) ), X ) ] )
% 0.46/1.09 .
% 0.46/1.09 clause( 25, [] )
% 0.46/1.09 .
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 % SZS output end Refutation
% 0.46/1.09 found a proof!
% 0.46/1.09
% 0.46/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.46/1.09
% 0.46/1.09 initialclauses(
% 0.46/1.09 [ clause( 27, [ =( divide( X, divide( divide( divide( divide( X, X ), Y ),
% 0.46/1.09 Z ), divide( divide( identity, X ), Z ) ) ), Y ) ] )
% 0.46/1.09 , clause( 28, [ =( multiply( X, Y ), divide( X, divide( identity, Y ) ) ) ]
% 0.46/1.09 )
% 0.46/1.09 , clause( 29, [ =( inverse( X ), divide( identity, X ) ) ] )
% 0.46/1.09 , clause( 30, [ =( identity, divide( X, X ) ) ] )
% 0.46/1.09 , clause( 31, [ ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.46/1.09 ] ).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 subsumption(
% 0.46/1.09 clause( 0, [ =( divide( X, divide( divide( divide( divide( X, X ), Y ), Z )
% 0.46/1.09 , divide( divide( identity, X ), Z ) ) ), Y ) ] )
% 0.46/1.09 , clause( 27, [ =( divide( X, divide( divide( divide( divide( X, X ), Y ),
% 0.46/1.09 Z ), divide( divide( identity, X ), Z ) ) ), Y ) ] )
% 0.46/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.46/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 eqswap(
% 0.46/1.09 clause( 34, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ]
% 0.46/1.09 )
% 0.46/1.09 , clause( 28, [ =( multiply( X, Y ), divide( X, divide( identity, Y ) ) ) ]
% 0.46/1.09 )
% 0.46/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 subsumption(
% 0.46/1.09 clause( 1, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ] )
% 0.46/1.09 , clause( 34, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ]
% 0.46/1.09 )
% 0.46/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.46/1.09 )] ) ).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 eqswap(
% 0.46/1.09 clause( 37, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.46/1.09 , clause( 29, [ =( inverse( X ), divide( identity, X ) ) ] )
% 0.46/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 subsumption(
% 0.46/1.09 clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.46/1.09 , clause( 37, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.46/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 eqswap(
% 0.46/1.09 clause( 41, [ =( divide( X, X ), identity ) ] )
% 0.46/1.09 , clause( 30, [ =( identity, divide( X, X ) ) ] )
% 0.46/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 subsumption(
% 0.46/1.09 clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.46/1.09 , clause( 41, [ =( divide( X, X ), identity ) ] )
% 0.46/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 subsumption(
% 0.46/1.09 clause( 4, [ ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.46/1.09 , clause( 31, [ ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.46/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 eqswap(
% 0.46/1.09 clause( 47, [ =( inverse( X ), divide( identity, X ) ) ] )
% 0.46/1.09 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.46/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 paramod(
% 0.46/1.09 clause( 49, [ =( inverse( identity ), identity ) ] )
% 0.46/1.09 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.46/1.09 , 0, clause( 47, [ =( inverse( X ), divide( identity, X ) ) ] )
% 0.46/1.09 , 0, 3, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.46/1.09 identity )] )).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 subsumption(
% 0.46/1.09 clause( 5, [ =( inverse( identity ), identity ) ] )
% 0.46/1.09 , clause( 49, [ =( inverse( identity ), identity ) ] )
% 0.46/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 paramod(
% 0.46/1.09 clause( 53, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.46/1.09 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.46/1.09 , 0, clause( 1, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) )
% 0.46/1.09 ] )
% 0.46/1.09 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.46/1.09 :=( Y, Y )] )).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 subsumption(
% 0.46/1.09 clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.46/1.09 , clause( 53, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.46/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.46/1.09 )] ) ).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 paramod(
% 0.46/1.09 clause( 59, [ =( divide( X, divide( divide( divide( identity, Y ), Z ),
% 0.46/1.09 divide( divide( identity, X ), Z ) ) ), Y ) ] )
% 0.46/1.09 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.46/1.09 , 0, clause( 0, [ =( divide( X, divide( divide( divide( divide( X, X ), Y )
% 0.46/1.09 , Z ), divide( divide( identity, X ), Z ) ) ), Y ) ] )
% 0.46/1.09 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.46/1.09 :=( Y, Y ), :=( Z, Z )] )).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 paramod(
% 0.46/1.09 clause( 61, [ =( divide( X, divide( divide( divide( identity, Y ), Z ),
% 0.46/1.09 divide( inverse( X ), Z ) ) ), Y ) ] )
% 0.46/1.09 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.46/1.09 , 0, clause( 59, [ =( divide( X, divide( divide( divide( identity, Y ), Z )
% 0.46/1.09 , divide( divide( identity, X ), Z ) ) ), Y ) ] )
% 0.46/1.09 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.46/1.09 :=( Y, Y ), :=( Z, Z )] )).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 paramod(
% 0.46/1.09 clause( 63, [ =( divide( X, divide( divide( inverse( Y ), Z ), divide(
% 0.46/1.09 inverse( X ), Z ) ) ), Y ) ] )
% 0.46/1.09 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.46/1.09 , 0, clause( 61, [ =( divide( X, divide( divide( divide( identity, Y ), Z )
% 0.46/1.09 , divide( inverse( X ), Z ) ) ), Y ) ] )
% 0.46/1.09 , 0, 5, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.46/1.09 :=( Y, Y ), :=( Z, Z )] )).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 subsumption(
% 0.46/1.09 clause( 7, [ =( divide( X, divide( divide( inverse( Y ), Z ), divide(
% 0.46/1.09 inverse( X ), Z ) ) ), Y ) ] )
% 0.46/1.09 , clause( 63, [ =( divide( X, divide( divide( inverse( Y ), Z ), divide(
% 0.46/1.09 inverse( X ), Z ) ) ), Y ) ] )
% 0.46/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.46/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 eqswap(
% 0.46/1.09 clause( 66, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.46/1.09 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.46/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 paramod(
% 0.46/1.09 clause( 67, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 0.46/1.09 , clause( 5, [ =( inverse( identity ), identity ) ] )
% 0.46/1.09 , 0, clause( 66, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.46/1.09 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 0.46/1.09 identity )] )).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 subsumption(
% 0.46/1.09 clause( 8, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 0.46/1.09 , clause( 67, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 0.46/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 eqswap(
% 0.46/1.09 clause( 69, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.46/1.09 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.46/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 paramod(
% 0.46/1.09 clause( 71, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.46/1.09 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.46/1.09 , 0, clause( 69, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.46/1.09 , 0, 4, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.46/1.09 :=( X, identity ), :=( Y, X )] )).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 subsumption(
% 0.46/1.09 clause( 9, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.46/1.09 , clause( 71, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.46/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 eqswap(
% 0.46/1.09 clause( 74, [ ~( =( a2, multiply( identity, a2 ) ) ) ] )
% 0.46/1.09 , clause( 4, [ ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.46/1.09 , 0, substitution( 0, [] )).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 paramod(
% 0.46/1.09 clause( 75, [ ~( =( a2, inverse( inverse( a2 ) ) ) ) ] )
% 0.46/1.09 , clause( 9, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.46/1.09 , 0, clause( 74, [ ~( =( a2, multiply( identity, a2 ) ) ) ] )
% 0.46/1.09 , 0, 3, substitution( 0, [ :=( X, a2 )] ), substitution( 1, [] )).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 eqswap(
% 0.46/1.09 clause( 76, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.46/1.09 , clause( 75, [ ~( =( a2, inverse( inverse( a2 ) ) ) ) ] )
% 0.46/1.09 , 0, substitution( 0, [] )).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 subsumption(
% 0.46/1.09 clause( 11, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.46/1.09 , clause( 76, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.46/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 eqswap(
% 0.46/1.09 clause( 78, [ =( Y, divide( X, divide( divide( inverse( Y ), Z ), divide(
% 0.46/1.09 inverse( X ), Z ) ) ) ) ] )
% 0.46/1.09 , clause( 7, [ =( divide( X, divide( divide( inverse( Y ), Z ), divide(
% 0.46/1.09 inverse( X ), Z ) ) ), Y ) ] )
% 0.46/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 paramod(
% 0.46/1.09 clause( 79, [ =( X, divide( X, identity ) ) ] )
% 0.46/1.09 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.46/1.09 , 0, clause( 78, [ =( Y, divide( X, divide( divide( inverse( Y ), Z ),
% 0.46/1.09 divide( inverse( X ), Z ) ) ) ) ] )
% 0.46/1.09 , 0, 4, substitution( 0, [ :=( X, divide( inverse( X ), Y ) )] ),
% 0.46/1.09 substitution( 1, [ :=( X, X ), :=( Y, X ), :=( Z, Y )] )).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 eqswap(
% 0.46/1.09 clause( 82, [ =( divide( X, identity ), X ) ] )
% 0.46/1.09 , clause( 79, [ =( X, divide( X, identity ) ) ] )
% 0.46/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 subsumption(
% 0.46/1.09 clause( 15, [ =( divide( X, identity ), X ) ] )
% 0.46/1.09 , clause( 82, [ =( divide( X, identity ), X ) ] )
% 0.46/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 eqswap(
% 0.46/1.09 clause( 86, [ =( Y, divide( X, divide( divide( inverse( Y ), Z ), divide(
% 0.46/1.09 inverse( X ), Z ) ) ) ) ] )
% 0.46/1.09 , clause( 7, [ =( divide( X, divide( divide( inverse( Y ), Z ), divide(
% 0.46/1.09 inverse( X ), Z ) ) ), Y ) ] )
% 0.46/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 paramod(
% 0.46/1.09 clause( 91, [ =( X, divide( Y, divide( identity, divide( inverse( Y ),
% 0.46/1.09 inverse( X ) ) ) ) ) ] )
% 0.46/1.09 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.46/1.09 , 0, clause( 86, [ =( Y, divide( X, divide( divide( inverse( Y ), Z ),
% 0.46/1.09 divide( inverse( X ), Z ) ) ) ) ] )
% 0.46/1.09 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.46/1.09 :=( X, Y ), :=( Y, X ), :=( Z, inverse( X ) )] )).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 paramod(
% 0.46/1.09 clause( 93, [ =( X, divide( Y, inverse( divide( inverse( Y ), inverse( X )
% 0.46/1.09 ) ) ) ) ] )
% 0.46/1.09 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.46/1.09 , 0, clause( 91, [ =( X, divide( Y, divide( identity, divide( inverse( Y )
% 0.46/1.09 , inverse( X ) ) ) ) ) ] )
% 0.46/1.09 , 0, 4, substitution( 0, [ :=( X, divide( inverse( Y ), inverse( X ) ) )] )
% 0.46/1.09 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 paramod(
% 0.46/1.09 clause( 95, [ =( X, divide( Y, inverse( multiply( inverse( Y ), X ) ) ) ) ]
% 0.46/1.09 )
% 0.46/1.09 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.46/1.09 , 0, clause( 93, [ =( X, divide( Y, inverse( divide( inverse( Y ), inverse(
% 0.46/1.09 X ) ) ) ) ) ] )
% 0.46/1.09 , 0, 5, substitution( 0, [ :=( X, inverse( Y ) ), :=( Y, X )] ),
% 0.46/1.09 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 paramod(
% 0.46/1.09 clause( 97, [ =( X, multiply( Y, multiply( inverse( Y ), X ) ) ) ] )
% 0.46/1.09 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.46/1.09 , 0, clause( 95, [ =( X, divide( Y, inverse( multiply( inverse( Y ), X ) )
% 0.46/1.09 ) ) ] )
% 0.46/1.09 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, multiply( inverse( Y ), X ) )] )
% 0.46/1.09 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 eqswap(
% 0.46/1.09 clause( 98, [ =( multiply( Y, multiply( inverse( Y ), X ) ), X ) ] )
% 0.46/1.09 , clause( 97, [ =( X, multiply( Y, multiply( inverse( Y ), X ) ) ) ] )
% 0.46/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 subsumption(
% 0.46/1.09 clause( 16, [ =( multiply( Y, multiply( inverse( Y ), X ) ), X ) ] )
% 0.46/1.09 , clause( 98, [ =( multiply( Y, multiply( inverse( Y ), X ) ), X ) ] )
% 0.46/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.46/1.09 )] ) ).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 eqswap(
% 0.46/1.09 clause( 100, [ =( Y, multiply( X, multiply( inverse( X ), Y ) ) ) ] )
% 0.46/1.09 , clause( 16, [ =( multiply( Y, multiply( inverse( Y ), X ) ), X ) ] )
% 0.46/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 paramod(
% 0.46/1.09 clause( 102, [ =( identity, multiply( X, divide( inverse( X ), identity ) )
% 0.46/1.09 ) ] )
% 0.46/1.09 , clause( 8, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 0.46/1.09 , 0, clause( 100, [ =( Y, multiply( X, multiply( inverse( X ), Y ) ) ) ] )
% 0.46/1.09 , 0, 4, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.46/1.09 :=( X, X ), :=( Y, identity )] )).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 paramod(
% 0.46/1.09 clause( 103, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 0.46/1.09 , clause( 15, [ =( divide( X, identity ), X ) ] )
% 0.46/1.09 , 0, clause( 102, [ =( identity, multiply( X, divide( inverse( X ),
% 0.46/1.09 identity ) ) ) ] )
% 0.46/1.09 , 0, 4, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.46/1.09 :=( X, X )] )).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 eqswap(
% 0.46/1.09 clause( 104, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.46/1.09 , clause( 103, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 0.46/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 subsumption(
% 0.46/1.09 clause( 20, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.46/1.09 , clause( 104, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.46/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 eqswap(
% 0.46/1.09 clause( 106, [ =( Y, multiply( X, multiply( inverse( X ), Y ) ) ) ] )
% 0.46/1.09 , clause( 16, [ =( multiply( Y, multiply( inverse( Y ), X ) ), X ) ] )
% 0.46/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 paramod(
% 0.46/1.09 clause( 109, [ =( inverse( inverse( X ) ), multiply( X, identity ) ) ] )
% 0.46/1.09 , clause( 20, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.46/1.09 , 0, clause( 106, [ =( Y, multiply( X, multiply( inverse( X ), Y ) ) ) ] )
% 0.46/1.09 , 0, 6, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.46/1.09 :=( X, X ), :=( Y, inverse( inverse( X ) ) )] )).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 paramod(
% 0.46/1.09 clause( 110, [ =( inverse( inverse( X ) ), divide( X, identity ) ) ] )
% 0.46/1.09 , clause( 8, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 0.46/1.09 , 0, clause( 109, [ =( inverse( inverse( X ) ), multiply( X, identity ) ) ]
% 0.46/1.09 )
% 0.46/1.09 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.46/1.09 ).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 paramod(
% 0.46/1.09 clause( 111, [ =( inverse( inverse( X ) ), X ) ] )
% 0.46/1.09 , clause( 15, [ =( divide( X, identity ), X ) ] )
% 0.46/1.09 , 0, clause( 110, [ =( inverse( inverse( X ) ), divide( X, identity ) ) ]
% 0.46/1.09 )
% 0.46/1.09 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.46/1.09 ).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 subsumption(
% 0.46/1.09 clause( 21, [ =( inverse( inverse( X ) ), X ) ] )
% 0.46/1.09 , clause( 111, [ =( inverse( inverse( X ) ), X ) ] )
% 0.46/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 eqswap(
% 0.46/1.09 clause( 113, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.46/1.09 , clause( 21, [ =( inverse( inverse( X ) ), X ) ] )
% 0.46/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 eqswap(
% 0.46/1.09 clause( 114, [ ~( =( a2, inverse( inverse( a2 ) ) ) ) ] )
% 0.46/1.09 , clause( 11, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.46/1.09 , 0, substitution( 0, [] )).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 resolution(
% 0.46/1.09 clause( 115, [] )
% 0.46/1.09 , clause( 114, [ ~( =( a2, inverse( inverse( a2 ) ) ) ) ] )
% 0.46/1.09 , 0, clause( 113, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.46/1.09 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a2 )] )).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 subsumption(
% 0.46/1.09 clause( 25, [] )
% 0.46/1.09 , clause( 115, [] )
% 0.46/1.09 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 end.
% 0.46/1.09
% 0.46/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.46/1.09
% 0.46/1.09 Memory use:
% 0.46/1.09
% 0.46/1.09 space for terms: 322
% 0.46/1.09 space for clauses: 2638
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 clauses generated: 90
% 0.46/1.09 clauses kept: 26
% 0.46/1.09 clauses selected: 15
% 0.46/1.09 clauses deleted: 2
% 0.46/1.09 clauses inuse deleted: 0
% 0.46/1.09
% 0.46/1.09 subsentry: 244
% 0.46/1.09 literals s-matched: 89
% 0.46/1.09 literals matched: 89
% 0.46/1.09 full subsumption: 0
% 0.46/1.09
% 0.46/1.09 checksum: 931511243
% 0.46/1.09
% 0.46/1.09
% 0.46/1.09 Bliksem ended
%------------------------------------------------------------------------------