TSTP Solution File: GRP487-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP487-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n006.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 07:37:16 EDT 2022
% Result : Unsatisfiable 0.72s 1.08s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP487-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n006.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 02:06:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.72/1.08 *** allocated 10000 integers for termspace/termends
% 0.72/1.08 *** allocated 10000 integers for clauses
% 0.72/1.08 *** allocated 10000 integers for justifications
% 0.72/1.08 Bliksem 1.12
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Automatic Strategy Selection
% 0.72/1.08
% 0.72/1.08 Clauses:
% 0.72/1.08 [
% 0.72/1.08 [ =( 'double_divide'( X, 'double_divide'( 'double_divide'(
% 0.72/1.08 'double_divide'( identity, 'double_divide'( 'double_divide'( X, identity
% 0.72/1.08 ), 'double_divide'( Y, Z ) ) ), Y ), identity ) ), Z ) ],
% 0.72/1.08 [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X ),
% 0.72/1.08 identity ) ) ],
% 0.72/1.08 [ =( inverse( X ), 'double_divide'( X, identity ) ) ],
% 0.72/1.08 [ =( identity, 'double_divide'( X, inverse( X ) ) ) ],
% 0.72/1.08 [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ) ]
% 0.72/1.08 ] .
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 percentage equality = 1.000000, percentage horn = 1.000000
% 0.72/1.08 This is a pure equality problem
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Options Used:
% 0.72/1.08
% 0.72/1.08 useres = 1
% 0.72/1.08 useparamod = 1
% 0.72/1.08 useeqrefl = 1
% 0.72/1.08 useeqfact = 1
% 0.72/1.08 usefactor = 1
% 0.72/1.08 usesimpsplitting = 0
% 0.72/1.08 usesimpdemod = 5
% 0.72/1.08 usesimpres = 3
% 0.72/1.08
% 0.72/1.08 resimpinuse = 1000
% 0.72/1.08 resimpclauses = 20000
% 0.72/1.08 substype = eqrewr
% 0.72/1.08 backwardsubs = 1
% 0.72/1.08 selectoldest = 5
% 0.72/1.08
% 0.72/1.08 litorderings [0] = split
% 0.72/1.08 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.08
% 0.72/1.08 termordering = kbo
% 0.72/1.08
% 0.72/1.08 litapriori = 0
% 0.72/1.08 termapriori = 1
% 0.72/1.08 litaposteriori = 0
% 0.72/1.08 termaposteriori = 0
% 0.72/1.08 demodaposteriori = 0
% 0.72/1.08 ordereqreflfact = 0
% 0.72/1.08
% 0.72/1.08 litselect = negord
% 0.72/1.08
% 0.72/1.08 maxweight = 15
% 0.72/1.08 maxdepth = 30000
% 0.72/1.08 maxlength = 115
% 0.72/1.08 maxnrvars = 195
% 0.72/1.08 excuselevel = 1
% 0.72/1.08 increasemaxweight = 1
% 0.72/1.08
% 0.72/1.08 maxselected = 10000000
% 0.72/1.08 maxnrclauses = 10000000
% 0.72/1.08
% 0.72/1.08 showgenerated = 0
% 0.72/1.08 showkept = 0
% 0.72/1.08 showselected = 0
% 0.72/1.08 showdeleted = 0
% 0.72/1.08 showresimp = 1
% 0.72/1.08 showstatus = 2000
% 0.72/1.08
% 0.72/1.08 prologoutput = 1
% 0.72/1.08 nrgoals = 5000000
% 0.72/1.08 totalproof = 1
% 0.72/1.08
% 0.72/1.08 Symbols occurring in the translation:
% 0.72/1.08
% 0.72/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.08 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.72/1.08 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.72/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.08 identity [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.72/1.08 'double_divide' [41, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.72/1.08 multiply [44, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.72/1.08 inverse [45, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.72/1.08 a1 [46, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Starting Search:
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Bliksems!, er is een bewijs:
% 0.72/1.08 % SZS status Unsatisfiable
% 0.72/1.08 % SZS output start Refutation
% 0.72/1.08
% 0.72/1.08 clause( 0, [ =( 'double_divide'( X, 'double_divide'( 'double_divide'(
% 0.72/1.08 'double_divide'( identity, 'double_divide'( 'double_divide'( X, identity
% 0.72/1.08 ), 'double_divide'( Y, Z ) ) ), Y ), identity ) ), Z ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.72/1.08 multiply( X, Y ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 4, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 9, [ =( 'double_divide'( X, multiply( Y, 'double_divide'( identity
% 0.72/1.08 , 'double_divide'( inverse( X ), 'double_divide'( Y, Z ) ) ) ) ), Z ) ]
% 0.72/1.08 )
% 0.72/1.08 .
% 0.72/1.08 clause( 10, [ =( multiply( multiply( Y, X ), 'double_divide'( X, Y ) ),
% 0.72/1.08 inverse( identity ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 11, [ ~( =( inverse( identity ), identity ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 15, [ =( 'double_divide'( Y, multiply( X, 'double_divide'( identity
% 0.72/1.08 , inverse( inverse( Y ) ) ) ) ), inverse( X ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 18, [ =( inverse( multiply( inverse( inverse( X ) ), identity ) ),
% 0.72/1.08 'double_divide'( X, inverse( identity ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 20, [ =( 'double_divide'( X, 'double_divide'( X, inverse( identity
% 0.72/1.08 ) ) ), inverse( identity ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 24, [ =( 'double_divide'( X, multiply( inverse( X ), identity ) ),
% 0.72/1.08 inverse( identity ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 29, [ =( inverse( identity ), identity ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 32, [] )
% 0.72/1.08 .
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 % SZS output end Refutation
% 0.72/1.08 found a proof!
% 0.72/1.08
% 0.72/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.08
% 0.72/1.08 initialclauses(
% 0.72/1.08 [ clause( 34, [ =( 'double_divide'( X, 'double_divide'( 'double_divide'(
% 0.72/1.08 'double_divide'( identity, 'double_divide'( 'double_divide'( X, identity
% 0.72/1.08 ), 'double_divide'( Y, Z ) ) ), Y ), identity ) ), Z ) ] )
% 0.72/1.08 , clause( 35, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X
% 0.72/1.08 ), identity ) ) ] )
% 0.72/1.08 , clause( 36, [ =( inverse( X ), 'double_divide'( X, identity ) ) ] )
% 0.72/1.08 , clause( 37, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.72/1.08 , clause( 38, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ) ] )
% 0.72/1.08 ] ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 0, [ =( 'double_divide'( X, 'double_divide'( 'double_divide'(
% 0.72/1.08 'double_divide'( identity, 'double_divide'( 'double_divide'( X, identity
% 0.72/1.08 ), 'double_divide'( Y, Z ) ) ), Y ), identity ) ), Z ) ] )
% 0.72/1.08 , clause( 34, [ =( 'double_divide'( X, 'double_divide'( 'double_divide'(
% 0.72/1.08 'double_divide'( identity, 'double_divide'( 'double_divide'( X, identity
% 0.72/1.08 ), 'double_divide'( Y, Z ) ) ), Y ), identity ) ), Z ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 41, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.72/1.08 multiply( X, Y ) ) ] )
% 0.72/1.08 , clause( 35, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X
% 0.72/1.08 ), identity ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.72/1.08 multiply( X, Y ) ) ] )
% 0.72/1.08 , clause( 41, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.72/1.08 multiply( X, Y ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.08 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 44, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.72/1.08 , clause( 36, [ =( inverse( X ), 'double_divide'( X, identity ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.72/1.08 , clause( 44, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 48, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.72/1.08 , clause( 37, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.72/1.08 , clause( 48, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 4, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ) ] )
% 0.72/1.08 , clause( 38, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 56, [ =( inverse( 'double_divide'( X, Y ) ), multiply( Y, X ) ) ]
% 0.72/1.08 )
% 0.72/1.08 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.72/1.08 , 0, clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.72/1.08 multiply( X, Y ) ) ] )
% 0.72/1.08 , 0, 1, substitution( 0, [ :=( X, 'double_divide'( X, Y ) )] ),
% 0.72/1.08 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.72/1.08 , clause( 56, [ =( inverse( 'double_divide'( X, Y ) ), multiply( Y, X ) ) ]
% 0.72/1.08 )
% 0.72/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.08 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 59, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.72/1.08 )
% 0.72/1.08 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.72/1.08 )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 62, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.72/1.08 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.72/1.08 , 0, clause( 59, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.72/1.08 ) ] )
% 0.72/1.08 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.72/1.08 :=( Y, inverse( X ) )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.72/1.08 , clause( 62, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 65, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.72/1.08 )
% 0.72/1.08 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.72/1.08 )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 68, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.72/1.08 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.72/1.08 , 0, clause( 65, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.72/1.08 ) ] )
% 0.72/1.08 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.72/1.08 :=( Y, identity )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.72/1.08 , clause( 68, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 74, [ =( 'double_divide'( X, inverse( 'double_divide'(
% 0.72/1.08 'double_divide'( identity, 'double_divide'( 'double_divide'( X, identity
% 0.72/1.08 ), 'double_divide'( Y, Z ) ) ), Y ) ) ), Z ) ] )
% 0.72/1.08 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.72/1.08 , 0, clause( 0, [ =( 'double_divide'( X, 'double_divide'( 'double_divide'(
% 0.72/1.08 'double_divide'( identity, 'double_divide'( 'double_divide'( X, identity
% 0.72/1.08 ), 'double_divide'( Y, Z ) ) ), Y ), identity ) ), Z ) ] )
% 0.72/1.08 , 0, 3, substitution( 0, [ :=( X, 'double_divide'( 'double_divide'(
% 0.72/1.08 identity, 'double_divide'( 'double_divide'( X, identity ),
% 0.72/1.08 'double_divide'( Y, Z ) ) ), Y ) )] ), substitution( 1, [ :=( X, X ),
% 0.72/1.08 :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 78, [ =( 'double_divide'( X, multiply( Y, 'double_divide'( identity
% 0.72/1.08 , 'double_divide'( 'double_divide'( X, identity ), 'double_divide'( Y, Z
% 0.72/1.08 ) ) ) ) ), Z ) ] )
% 0.72/1.08 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.72/1.08 )
% 0.72/1.08 , 0, clause( 74, [ =( 'double_divide'( X, inverse( 'double_divide'(
% 0.72/1.08 'double_divide'( identity, 'double_divide'( 'double_divide'( X, identity
% 0.72/1.08 ), 'double_divide'( Y, Z ) ) ), Y ) ) ), Z ) ] )
% 0.72/1.08 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, 'double_divide'( identity,
% 0.72/1.08 'double_divide'( 'double_divide'( X, identity ), 'double_divide'( Y, Z )
% 0.72/1.08 ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 79, [ =( 'double_divide'( X, multiply( Y, 'double_divide'( identity
% 0.72/1.08 , 'double_divide'( inverse( X ), 'double_divide'( Y, Z ) ) ) ) ), Z ) ]
% 0.72/1.08 )
% 0.72/1.08 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.72/1.08 , 0, clause( 78, [ =( 'double_divide'( X, multiply( Y, 'double_divide'(
% 0.72/1.08 identity, 'double_divide'( 'double_divide'( X, identity ),
% 0.72/1.08 'double_divide'( Y, Z ) ) ) ) ), Z ) ] )
% 0.72/1.08 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.72/1.08 :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 9, [ =( 'double_divide'( X, multiply( Y, 'double_divide'( identity
% 0.72/1.08 , 'double_divide'( inverse( X ), 'double_divide'( Y, Z ) ) ) ) ), Z ) ]
% 0.72/1.08 )
% 0.72/1.08 , clause( 79, [ =( 'double_divide'( X, multiply( Y, 'double_divide'(
% 0.72/1.08 identity, 'double_divide'( inverse( X ), 'double_divide'( Y, Z ) ) ) ) )
% 0.72/1.08 , Z ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 82, [ =( inverse( identity ), multiply( inverse( X ), X ) ) ] )
% 0.72/1.08 , clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 85, [ =( inverse( identity ), multiply( multiply( Y, X ),
% 0.72/1.08 'double_divide'( X, Y ) ) ) ] )
% 0.72/1.08 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.72/1.08 )
% 0.72/1.08 , 0, clause( 82, [ =( inverse( identity ), multiply( inverse( X ), X ) ) ]
% 0.72/1.08 )
% 0.72/1.08 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.72/1.08 :=( X, 'double_divide'( X, Y ) )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 86, [ =( multiply( multiply( X, Y ), 'double_divide'( Y, X ) ),
% 0.72/1.08 inverse( identity ) ) ] )
% 0.72/1.08 , clause( 85, [ =( inverse( identity ), multiply( multiply( Y, X ),
% 0.72/1.08 'double_divide'( X, Y ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 10, [ =( multiply( multiply( Y, X ), 'double_divide'( X, Y ) ),
% 0.72/1.08 inverse( identity ) ) ] )
% 0.72/1.08 , clause( 86, [ =( multiply( multiply( X, Y ), 'double_divide'( Y, X ) ),
% 0.72/1.08 inverse( identity ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.08 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 88, [ ~( =( identity, multiply( inverse( a1 ), a1 ) ) ) ] )
% 0.72/1.08 , clause( 4, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 89, [ ~( =( identity, inverse( identity ) ) ) ] )
% 0.72/1.08 , clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.72/1.08 , 0, clause( 88, [ ~( =( identity, multiply( inverse( a1 ), a1 ) ) ) ] )
% 0.72/1.08 , 0, 3, substitution( 0, [ :=( X, a1 )] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 90, [ ~( =( inverse( identity ), identity ) ) ] )
% 0.72/1.08 , clause( 89, [ ~( =( identity, inverse( identity ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 11, [ ~( =( inverse( identity ), identity ) ) ] )
% 0.72/1.08 , clause( 90, [ ~( =( inverse( identity ), identity ) ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 92, [ =( Z, 'double_divide'( X, multiply( Y, 'double_divide'(
% 0.72/1.08 identity, 'double_divide'( inverse( X ), 'double_divide'( Y, Z ) ) ) ) )
% 0.72/1.08 ) ] )
% 0.72/1.08 , clause( 9, [ =( 'double_divide'( X, multiply( Y, 'double_divide'(
% 0.72/1.08 identity, 'double_divide'( inverse( X ), 'double_divide'( Y, Z ) ) ) ) )
% 0.72/1.08 , Z ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 94, [ =( inverse( X ), 'double_divide'( Y, multiply( X,
% 0.72/1.08 'double_divide'( identity, 'double_divide'( inverse( Y ), identity ) ) )
% 0.72/1.08 ) ) ] )
% 0.72/1.08 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.72/1.08 , 0, clause( 92, [ =( Z, 'double_divide'( X, multiply( Y, 'double_divide'(
% 0.72/1.08 identity, 'double_divide'( inverse( X ), 'double_divide'( Y, Z ) ) ) ) )
% 0.72/1.08 ) ] )
% 0.72/1.08 , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 0.72/1.08 :=( Y, X ), :=( Z, inverse( X ) )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 95, [ =( inverse( X ), 'double_divide'( Y, multiply( X,
% 0.72/1.08 'double_divide'( identity, inverse( inverse( Y ) ) ) ) ) ) ] )
% 0.72/1.08 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.72/1.08 , 0, clause( 94, [ =( inverse( X ), 'double_divide'( Y, multiply( X,
% 0.72/1.08 'double_divide'( identity, 'double_divide'( inverse( Y ), identity ) ) )
% 0.72/1.08 ) ) ] )
% 0.72/1.08 , 0, 9, substitution( 0, [ :=( X, inverse( Y ) )] ), substitution( 1, [
% 0.72/1.08 :=( X, X ), :=( Y, Y )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 96, [ =( 'double_divide'( Y, multiply( X, 'double_divide'( identity
% 0.72/1.08 , inverse( inverse( Y ) ) ) ) ), inverse( X ) ) ] )
% 0.72/1.08 , clause( 95, [ =( inverse( X ), 'double_divide'( Y, multiply( X,
% 0.72/1.08 'double_divide'( identity, inverse( inverse( Y ) ) ) ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 15, [ =( 'double_divide'( Y, multiply( X, 'double_divide'( identity
% 0.72/1.08 , inverse( inverse( Y ) ) ) ) ), inverse( X ) ) ] )
% 0.72/1.08 , clause( 96, [ =( 'double_divide'( Y, multiply( X, 'double_divide'(
% 0.72/1.08 identity, inverse( inverse( Y ) ) ) ) ), inverse( X ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.08 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 98, [ =( inverse( Y ), 'double_divide'( X, multiply( Y,
% 0.72/1.08 'double_divide'( identity, inverse( inverse( X ) ) ) ) ) ) ] )
% 0.72/1.08 , clause( 15, [ =( 'double_divide'( Y, multiply( X, 'double_divide'(
% 0.72/1.08 identity, inverse( inverse( Y ) ) ) ) ), inverse( X ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 101, [ =( inverse( multiply( inverse( inverse( X ) ), identity ) )
% 0.72/1.08 , 'double_divide'( X, inverse( identity ) ) ) ] )
% 0.72/1.08 , clause( 10, [ =( multiply( multiply( Y, X ), 'double_divide'( X, Y ) ),
% 0.72/1.08 inverse( identity ) ) ] )
% 0.72/1.08 , 0, clause( 98, [ =( inverse( Y ), 'double_divide'( X, multiply( Y,
% 0.72/1.08 'double_divide'( identity, inverse( inverse( X ) ) ) ) ) ) ] )
% 0.72/1.08 , 0, 9, substitution( 0, [ :=( X, identity ), :=( Y, inverse( inverse( X )
% 0.72/1.08 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, multiply( inverse( inverse(
% 0.72/1.08 X ) ), identity ) )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 18, [ =( inverse( multiply( inverse( inverse( X ) ), identity ) ),
% 0.72/1.08 'double_divide'( X, inverse( identity ) ) ) ] )
% 0.72/1.08 , clause( 101, [ =( inverse( multiply( inverse( inverse( X ) ), identity )
% 0.72/1.08 ), 'double_divide'( X, inverse( identity ) ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 104, [ =( inverse( Y ), 'double_divide'( X, multiply( Y,
% 0.72/1.08 'double_divide'( identity, inverse( inverse( X ) ) ) ) ) ) ] )
% 0.72/1.08 , clause( 15, [ =( 'double_divide'( Y, multiply( X, 'double_divide'(
% 0.72/1.08 identity, inverse( inverse( Y ) ) ) ) ), inverse( X ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 107, [ =( inverse( identity ), 'double_divide'( X, inverse( inverse(
% 0.72/1.08 'double_divide'( identity, inverse( inverse( X ) ) ) ) ) ) ) ] )
% 0.72/1.08 , clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.72/1.08 , 0, clause( 104, [ =( inverse( Y ), 'double_divide'( X, multiply( Y,
% 0.72/1.08 'double_divide'( identity, inverse( inverse( X ) ) ) ) ) ) ] )
% 0.72/1.08 , 0, 5, substitution( 0, [ :=( X, 'double_divide'( identity, inverse(
% 0.72/1.08 inverse( X ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, identity )] )
% 0.72/1.08 ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 108, [ =( inverse( identity ), 'double_divide'( X, inverse(
% 0.72/1.08 multiply( inverse( inverse( X ) ), identity ) ) ) ) ] )
% 0.72/1.08 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.72/1.08 )
% 0.72/1.08 , 0, clause( 107, [ =( inverse( identity ), 'double_divide'( X, inverse(
% 0.72/1.08 inverse( 'double_divide'( identity, inverse( inverse( X ) ) ) ) ) ) ) ]
% 0.72/1.08 )
% 0.72/1.08 , 0, 6, substitution( 0, [ :=( X, inverse( inverse( X ) ) ), :=( Y,
% 0.72/1.08 identity )] ), substitution( 1, [ :=( X, X )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 109, [ =( inverse( identity ), 'double_divide'( X, 'double_divide'(
% 0.72/1.08 X, inverse( identity ) ) ) ) ] )
% 0.72/1.08 , clause( 18, [ =( inverse( multiply( inverse( inverse( X ) ), identity ) )
% 0.72/1.08 , 'double_divide'( X, inverse( identity ) ) ) ] )
% 0.72/1.08 , 0, clause( 108, [ =( inverse( identity ), 'double_divide'( X, inverse(
% 0.72/1.08 multiply( inverse( inverse( X ) ), identity ) ) ) ) ] )
% 0.72/1.08 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.72/1.08 ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 110, [ =( 'double_divide'( X, 'double_divide'( X, inverse( identity
% 0.72/1.08 ) ) ), inverse( identity ) ) ] )
% 0.72/1.08 , clause( 109, [ =( inverse( identity ), 'double_divide'( X,
% 0.72/1.08 'double_divide'( X, inverse( identity ) ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 20, [ =( 'double_divide'( X, 'double_divide'( X, inverse( identity
% 0.72/1.08 ) ) ), inverse( identity ) ) ] )
% 0.72/1.08 , clause( 110, [ =( 'double_divide'( X, 'double_divide'( X, inverse(
% 0.72/1.08 identity ) ) ), inverse( identity ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 112, [ =( Z, 'double_divide'( X, multiply( Y, 'double_divide'(
% 0.72/1.08 identity, 'double_divide'( inverse( X ), 'double_divide'( Y, Z ) ) ) ) )
% 0.72/1.08 ) ] )
% 0.72/1.08 , clause( 9, [ =( 'double_divide'( X, multiply( Y, 'double_divide'(
% 0.72/1.08 identity, 'double_divide'( inverse( X ), 'double_divide'( Y, Z ) ) ) ) )
% 0.72/1.08 , Z ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 114, [ =( inverse( identity ), 'double_divide'( X, multiply(
% 0.72/1.08 inverse( X ), 'double_divide'( identity, inverse( identity ) ) ) ) ) ] )
% 0.72/1.08 , clause( 20, [ =( 'double_divide'( X, 'double_divide'( X, inverse(
% 0.72/1.08 identity ) ) ), inverse( identity ) ) ] )
% 0.72/1.08 , 0, clause( 112, [ =( Z, 'double_divide'( X, multiply( Y, 'double_divide'(
% 0.72/1.08 identity, 'double_divide'( inverse( X ), 'double_divide'( Y, Z ) ) ) ) )
% 0.72/1.08 ) ] )
% 0.72/1.08 , 0, 10, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.72/1.08 :=( X, X ), :=( Y, inverse( X ) ), :=( Z, inverse( identity ) )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 116, [ =( inverse( identity ), 'double_divide'( X, multiply(
% 0.72/1.08 inverse( X ), identity ) ) ) ] )
% 0.72/1.08 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.72/1.08 , 0, clause( 114, [ =( inverse( identity ), 'double_divide'( X, multiply(
% 0.72/1.08 inverse( X ), 'double_divide'( identity, inverse( identity ) ) ) ) ) ] )
% 0.72/1.08 , 0, 8, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.72/1.08 X )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 117, [ =( 'double_divide'( X, multiply( inverse( X ), identity ) )
% 0.72/1.08 , inverse( identity ) ) ] )
% 0.72/1.08 , clause( 116, [ =( inverse( identity ), 'double_divide'( X, multiply(
% 0.72/1.08 inverse( X ), identity ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 24, [ =( 'double_divide'( X, multiply( inverse( X ), identity ) ),
% 0.72/1.08 inverse( identity ) ) ] )
% 0.72/1.08 , clause( 117, [ =( 'double_divide'( X, multiply( inverse( X ), identity )
% 0.72/1.08 ), inverse( identity ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 119, [ =( inverse( identity ), 'double_divide'( X, multiply(
% 0.72/1.08 inverse( X ), identity ) ) ) ] )
% 0.72/1.08 , clause( 24, [ =( 'double_divide'( X, multiply( inverse( X ), identity ) )
% 0.72/1.08 , inverse( identity ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 121, [ =( inverse( identity ), 'double_divide'( identity, inverse(
% 0.72/1.08 identity ) ) ) ] )
% 0.72/1.08 , clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.72/1.08 , 0, clause( 119, [ =( inverse( identity ), 'double_divide'( X, multiply(
% 0.72/1.08 inverse( X ), identity ) ) ) ] )
% 0.72/1.08 , 0, 5, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.72/1.08 identity )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 122, [ =( inverse( identity ), identity ) ] )
% 0.72/1.08 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.72/1.08 , 0, clause( 121, [ =( inverse( identity ), 'double_divide'( identity,
% 0.72/1.08 inverse( identity ) ) ) ] )
% 0.72/1.08 , 0, 3, substitution( 0, [ :=( X, identity )] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 29, [ =( inverse( identity ), identity ) ] )
% 0.72/1.08 , clause( 122, [ =( inverse( identity ), identity ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 126, [] )
% 0.72/1.08 , clause( 11, [ ~( =( inverse( identity ), identity ) ) ] )
% 0.72/1.08 , 0, clause( 29, [ =( inverse( identity ), identity ) ] )
% 0.72/1.08 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 32, [] )
% 0.72/1.08 , clause( 126, [] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 end.
% 0.72/1.08
% 0.72/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.08
% 0.72/1.08 Memory use:
% 0.72/1.08
% 0.72/1.08 space for terms: 455
% 0.72/1.08 space for clauses: 3931
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 clauses generated: 81
% 0.72/1.08 clauses kept: 33
% 0.72/1.08 clauses selected: 13
% 0.72/1.08 clauses deleted: 4
% 0.72/1.08 clauses inuse deleted: 0
% 0.72/1.08
% 0.72/1.08 subsentry: 234
% 0.72/1.08 literals s-matched: 92
% 0.72/1.08 literals matched: 92
% 0.72/1.08 full subsumption: 0
% 0.72/1.08
% 0.72/1.08 checksum: -1713832597
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Bliksem ended
%------------------------------------------------------------------------------