TSTP Solution File: GRP490-1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP490-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.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 07:37:17 EDT 2022
% Result : Unsatisfiable 0.72s 1.12s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP490-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Tue Jun 14 11:17:20 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.72/1.12 *** allocated 10000 integers for termspace/termends
% 0.72/1.12 *** allocated 10000 integers for clauses
% 0.72/1.12 *** allocated 10000 integers for justifications
% 0.72/1.12 Bliksem 1.12
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Automatic Strategy Selection
% 0.72/1.12
% 0.72/1.12 Clauses:
% 0.72/1.12 [
% 0.72/1.12 [ =( 'double_divide'( 'double_divide'( identity, X ), 'double_divide'(
% 0.72/1.12 identity, 'double_divide'( 'double_divide'( 'double_divide'( X, Y ),
% 0.72/1.12 identity ), 'double_divide'( Z, Y ) ) ) ), Z ) ],
% 0.72/1.12 [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X ),
% 0.72/1.12 identity ) ) ],
% 0.72/1.12 [ =( inverse( X ), 'double_divide'( X, identity ) ) ],
% 0.72/1.12 [ =( identity, 'double_divide'( X, inverse( X ) ) ) ],
% 0.72/1.12 [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ) ]
% 0.72/1.12 ] .
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 percentage equality = 1.000000, percentage horn = 1.000000
% 0.72/1.12 This is a pure equality problem
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Options Used:
% 0.72/1.12
% 0.72/1.12 useres = 1
% 0.72/1.12 useparamod = 1
% 0.72/1.12 useeqrefl = 1
% 0.72/1.12 useeqfact = 1
% 0.72/1.12 usefactor = 1
% 0.72/1.12 usesimpsplitting = 0
% 0.72/1.12 usesimpdemod = 5
% 0.72/1.12 usesimpres = 3
% 0.72/1.12
% 0.72/1.12 resimpinuse = 1000
% 0.72/1.12 resimpclauses = 20000
% 0.72/1.12 substype = eqrewr
% 0.72/1.12 backwardsubs = 1
% 0.72/1.12 selectoldest = 5
% 0.72/1.12
% 0.72/1.12 litorderings [0] = split
% 0.72/1.12 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.12
% 0.72/1.12 termordering = kbo
% 0.72/1.12
% 0.72/1.12 litapriori = 0
% 0.72/1.12 termapriori = 1
% 0.72/1.12 litaposteriori = 0
% 0.72/1.12 termaposteriori = 0
% 0.72/1.12 demodaposteriori = 0
% 0.72/1.12 ordereqreflfact = 0
% 0.72/1.12
% 0.72/1.12 litselect = negord
% 0.72/1.12
% 0.72/1.12 maxweight = 15
% 0.72/1.12 maxdepth = 30000
% 0.72/1.12 maxlength = 115
% 0.72/1.12 maxnrvars = 195
% 0.72/1.12 excuselevel = 1
% 0.72/1.12 increasemaxweight = 1
% 0.72/1.12
% 0.72/1.12 maxselected = 10000000
% 0.72/1.12 maxnrclauses = 10000000
% 0.72/1.12
% 0.72/1.12 showgenerated = 0
% 0.72/1.12 showkept = 0
% 0.72/1.12 showselected = 0
% 0.72/1.12 showdeleted = 0
% 0.72/1.12 showresimp = 1
% 0.72/1.12 showstatus = 2000
% 0.72/1.12
% 0.72/1.12 prologoutput = 1
% 0.72/1.12 nrgoals = 5000000
% 0.72/1.12 totalproof = 1
% 0.72/1.12
% 0.72/1.12 Symbols occurring in the translation:
% 0.72/1.12
% 0.72/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.12 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.72/1.12 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.72/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.12 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.72/1.12 'double_divide' [41, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.72/1.12 multiply [44, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.72/1.12 inverse [45, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.72/1.12 a1 [46, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Starting Search:
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Bliksems!, er is een bewijs:
% 0.72/1.12 % SZS status Unsatisfiable
% 0.72/1.12 % SZS output start Refutation
% 0.72/1.12
% 0.72/1.12 clause( 0, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.72/1.12 'double_divide'( identity, 'double_divide'( 'double_divide'(
% 0.72/1.12 'double_divide'( X, Y ), identity ), 'double_divide'( Z, Y ) ) ) ), Z ) ]
% 0.72/1.12 )
% 0.72/1.12 .
% 0.72/1.12 clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.72/1.12 multiply( X, Y ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 4, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 9, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.72/1.12 'double_divide'( identity, 'double_divide'( multiply( Y, X ),
% 0.72/1.12 'double_divide'( Z, Y ) ) ) ), Z ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 11, [ ~( =( inverse( identity ), identity ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 15, [ =( 'double_divide'( 'double_divide'( identity, Y ),
% 0.72/1.12 'double_divide'( identity, inverse( multiply( inverse( X ), Y ) ) ) ), X
% 0.72/1.12 ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 18, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.72/1.12 'double_divide'( identity, inverse( inverse( identity ) ) ) ), X ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 25, [ =( 'double_divide'( identity, 'double_divide'( identity,
% 0.72/1.12 inverse( inverse( identity ) ) ) ), inverse( identity ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 26, [ =( 'double_divide'( inverse( identity ), 'double_divide'(
% 0.72/1.12 identity, inverse( inverse( identity ) ) ) ), identity ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 27, [ =( 'double_divide'( identity, inverse( inverse( identity ) )
% 0.72/1.12 ), identity ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 35, [] )
% 0.72/1.12 .
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 % SZS output end Refutation
% 0.72/1.12 found a proof!
% 0.72/1.12
% 0.72/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.12
% 0.72/1.12 initialclauses(
% 0.72/1.12 [ clause( 37, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.72/1.12 'double_divide'( identity, 'double_divide'( 'double_divide'(
% 0.72/1.12 'double_divide'( X, Y ), identity ), 'double_divide'( Z, Y ) ) ) ), Z ) ]
% 0.72/1.12 )
% 0.72/1.12 , clause( 38, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X
% 0.72/1.12 ), identity ) ) ] )
% 0.72/1.12 , clause( 39, [ =( inverse( X ), 'double_divide'( X, identity ) ) ] )
% 0.72/1.12 , clause( 40, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.72/1.12 , clause( 41, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ) ] )
% 0.72/1.12 ] ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 0, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.72/1.12 'double_divide'( identity, 'double_divide'( 'double_divide'(
% 0.72/1.12 'double_divide'( X, Y ), identity ), 'double_divide'( Z, Y ) ) ) ), Z ) ]
% 0.72/1.12 )
% 0.72/1.12 , clause( 37, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.72/1.12 'double_divide'( identity, 'double_divide'( 'double_divide'(
% 0.72/1.12 'double_divide'( X, Y ), identity ), 'double_divide'( Z, Y ) ) ) ), Z ) ]
% 0.72/1.12 )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 44, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.72/1.12 multiply( X, Y ) ) ] )
% 0.72/1.12 , clause( 38, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X
% 0.72/1.12 ), identity ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.72/1.12 multiply( X, Y ) ) ] )
% 0.72/1.12 , clause( 44, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.72/1.12 multiply( X, Y ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.12 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 47, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.72/1.12 , clause( 39, [ =( inverse( X ), 'double_divide'( X, identity ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.72/1.12 , clause( 47, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 51, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.72/1.12 , clause( 40, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.72/1.12 , clause( 51, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 4, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ) ] )
% 0.72/1.12 , clause( 41, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ) ] )
% 0.72/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 59, [ =( inverse( 'double_divide'( X, Y ) ), multiply( Y, X ) ) ]
% 0.72/1.12 )
% 0.72/1.12 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.72/1.12 , 0, clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.72/1.12 multiply( X, Y ) ) ] )
% 0.72/1.12 , 0, 1, substitution( 0, [ :=( X, 'double_divide'( X, Y ) )] ),
% 0.72/1.12 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.72/1.12 , clause( 59, [ =( inverse( 'double_divide'( X, Y ) ), multiply( Y, X ) ) ]
% 0.72/1.12 )
% 0.72/1.12 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.12 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 62, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.72/1.12 )
% 0.72/1.12 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.72/1.12 )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 65, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.72/1.12 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.72/1.12 , 0, clause( 62, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.72/1.12 ) ] )
% 0.72/1.12 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.72/1.12 :=( Y, inverse( X ) )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.72/1.12 , clause( 65, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 70, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.72/1.12 'double_divide'( identity, 'double_divide'( inverse( 'double_divide'( X,
% 0.72/1.12 Y ) ), 'double_divide'( Z, Y ) ) ) ), Z ) ] )
% 0.72/1.12 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.72/1.12 , 0, clause( 0, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.72/1.12 'double_divide'( identity, 'double_divide'( 'double_divide'(
% 0.72/1.12 'double_divide'( X, Y ), identity ), 'double_divide'( Z, Y ) ) ) ), Z ) ]
% 0.72/1.12 )
% 0.72/1.12 , 0, 8, substitution( 0, [ :=( X, 'double_divide'( X, Y ) )] ),
% 0.72/1.12 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 71, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.72/1.12 'double_divide'( identity, 'double_divide'( multiply( Y, X ),
% 0.72/1.12 'double_divide'( Z, Y ) ) ) ), Z ) ] )
% 0.72/1.12 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.72/1.12 )
% 0.72/1.12 , 0, clause( 70, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.72/1.12 'double_divide'( identity, 'double_divide'( inverse( 'double_divide'( X,
% 0.72/1.12 Y ) ), 'double_divide'( Z, Y ) ) ) ), Z ) ] )
% 0.72/1.12 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.72/1.12 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 9, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.72/1.12 'double_divide'( identity, 'double_divide'( multiply( Y, X ),
% 0.72/1.12 'double_divide'( Z, Y ) ) ) ), Z ) ] )
% 0.72/1.12 , clause( 71, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.72/1.12 'double_divide'( identity, 'double_divide'( multiply( Y, X ),
% 0.72/1.12 'double_divide'( Z, Y ) ) ) ), Z ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 74, [ ~( =( identity, multiply( inverse( a1 ), a1 ) ) ) ] )
% 0.72/1.12 , clause( 4, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 75, [ ~( =( identity, inverse( identity ) ) ) ] )
% 0.72/1.12 , clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.72/1.12 , 0, clause( 74, [ ~( =( identity, multiply( inverse( a1 ), a1 ) ) ) ] )
% 0.72/1.12 , 0, 3, substitution( 0, [ :=( X, a1 )] ), substitution( 1, [] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 76, [ ~( =( inverse( identity ), identity ) ) ] )
% 0.72/1.12 , clause( 75, [ ~( =( identity, inverse( identity ) ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 11, [ ~( =( inverse( identity ), identity ) ) ] )
% 0.72/1.12 , clause( 76, [ ~( =( inverse( identity ), identity ) ) ] )
% 0.72/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 78, [ =( Z, 'double_divide'( 'double_divide'( identity, X ),
% 0.72/1.12 'double_divide'( identity, 'double_divide'( multiply( Y, X ),
% 0.72/1.12 'double_divide'( Z, Y ) ) ) ) ) ] )
% 0.72/1.12 , clause( 9, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.72/1.12 'double_divide'( identity, 'double_divide'( multiply( Y, X ),
% 0.72/1.12 'double_divide'( Z, Y ) ) ) ), Z ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 81, [ =( X, 'double_divide'( 'double_divide'( identity, Y ),
% 0.72/1.12 'double_divide'( identity, 'double_divide'( multiply( inverse( X ), Y ),
% 0.72/1.12 identity ) ) ) ) ] )
% 0.72/1.12 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.72/1.12 , 0, clause( 78, [ =( Z, 'double_divide'( 'double_divide'( identity, X ),
% 0.72/1.12 'double_divide'( identity, 'double_divide'( multiply( Y, X ),
% 0.72/1.12 'double_divide'( Z, Y ) ) ) ) ) ] )
% 0.72/1.12 , 0, 13, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 0.72/1.12 :=( Y, inverse( X ) ), :=( Z, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 82, [ =( X, 'double_divide'( 'double_divide'( identity, Y ),
% 0.72/1.12 'double_divide'( identity, inverse( multiply( inverse( X ), Y ) ) ) ) ) ]
% 0.72/1.12 )
% 0.72/1.12 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.72/1.12 , 0, clause( 81, [ =( X, 'double_divide'( 'double_divide'( identity, Y ),
% 0.72/1.12 'double_divide'( identity, 'double_divide'( multiply( inverse( X ), Y ),
% 0.72/1.12 identity ) ) ) ) ] )
% 0.72/1.12 , 0, 8, substitution( 0, [ :=( X, multiply( inverse( X ), Y ) )] ),
% 0.72/1.12 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 83, [ =( 'double_divide'( 'double_divide'( identity, Y ),
% 0.72/1.12 'double_divide'( identity, inverse( multiply( inverse( X ), Y ) ) ) ), X
% 0.72/1.12 ) ] )
% 0.72/1.12 , clause( 82, [ =( X, 'double_divide'( 'double_divide'( identity, Y ),
% 0.72/1.12 'double_divide'( identity, inverse( multiply( inverse( X ), Y ) ) ) ) ) ]
% 0.72/1.12 )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 15, [ =( 'double_divide'( 'double_divide'( identity, Y ),
% 0.72/1.12 'double_divide'( identity, inverse( multiply( inverse( X ), Y ) ) ) ), X
% 0.72/1.12 ) ] )
% 0.72/1.12 , clause( 83, [ =( 'double_divide'( 'double_divide'( identity, Y ),
% 0.72/1.12 'double_divide'( identity, inverse( multiply( inverse( X ), Y ) ) ) ), X
% 0.72/1.12 ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.12 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 85, [ =( Y, 'double_divide'( 'double_divide'( identity, X ),
% 0.72/1.12 'double_divide'( identity, inverse( multiply( inverse( Y ), X ) ) ) ) ) ]
% 0.72/1.12 )
% 0.72/1.12 , clause( 15, [ =( 'double_divide'( 'double_divide'( identity, Y ),
% 0.72/1.12 'double_divide'( identity, inverse( multiply( inverse( X ), Y ) ) ) ), X
% 0.72/1.12 ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 86, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 0.72/1.12 'double_divide'( identity, inverse( inverse( identity ) ) ) ) ) ] )
% 0.72/1.12 , clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.72/1.12 , 0, clause( 85, [ =( Y, 'double_divide'( 'double_divide'( identity, X ),
% 0.72/1.12 'double_divide'( identity, inverse( multiply( inverse( Y ), X ) ) ) ) ) ]
% 0.72/1.12 )
% 0.72/1.12 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.72/1.12 :=( Y, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 87, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.72/1.12 'double_divide'( identity, inverse( inverse( identity ) ) ) ), X ) ] )
% 0.72/1.12 , clause( 86, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 0.72/1.12 'double_divide'( identity, inverse( inverse( identity ) ) ) ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 18, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.72/1.12 'double_divide'( identity, inverse( inverse( identity ) ) ) ), X ) ] )
% 0.72/1.12 , clause( 87, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.72/1.12 'double_divide'( identity, inverse( inverse( identity ) ) ) ), X ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 89, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 0.72/1.12 'double_divide'( identity, inverse( inverse( identity ) ) ) ) ) ] )
% 0.72/1.12 , clause( 18, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.72/1.12 'double_divide'( identity, inverse( inverse( identity ) ) ) ), X ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 90, [ =( inverse( identity ), 'double_divide'( identity,
% 0.72/1.12 'double_divide'( identity, inverse( inverse( identity ) ) ) ) ) ] )
% 0.72/1.12 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.72/1.12 , 0, clause( 89, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 0.72/1.12 'double_divide'( identity, inverse( inverse( identity ) ) ) ) ) ] )
% 0.72/1.12 , 0, 4, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.72/1.12 inverse( identity ) )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 91, [ =( 'double_divide'( identity, 'double_divide'( identity,
% 0.72/1.12 inverse( inverse( identity ) ) ) ), inverse( identity ) ) ] )
% 0.72/1.12 , clause( 90, [ =( inverse( identity ), 'double_divide'( identity,
% 0.72/1.12 'double_divide'( identity, inverse( inverse( identity ) ) ) ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 25, [ =( 'double_divide'( identity, 'double_divide'( identity,
% 0.72/1.12 inverse( inverse( identity ) ) ) ), inverse( identity ) ) ] )
% 0.72/1.12 , clause( 91, [ =( 'double_divide'( identity, 'double_divide'( identity,
% 0.72/1.12 inverse( inverse( identity ) ) ) ), inverse( identity ) ) ] )
% 0.72/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 93, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 0.72/1.12 'double_divide'( identity, inverse( inverse( identity ) ) ) ) ) ] )
% 0.72/1.12 , clause( 18, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.72/1.12 'double_divide'( identity, inverse( inverse( identity ) ) ) ), X ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 94, [ =( identity, 'double_divide'( inverse( identity ),
% 0.72/1.12 'double_divide'( identity, inverse( inverse( identity ) ) ) ) ) ] )
% 0.72/1.12 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.72/1.12 , 0, clause( 93, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 0.72/1.12 'double_divide'( identity, inverse( inverse( identity ) ) ) ) ) ] )
% 0.72/1.12 , 0, 3, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.72/1.12 identity )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 95, [ =( 'double_divide'( inverse( identity ), 'double_divide'(
% 0.72/1.12 identity, inverse( inverse( identity ) ) ) ), identity ) ] )
% 0.72/1.12 , clause( 94, [ =( identity, 'double_divide'( inverse( identity ),
% 0.72/1.12 'double_divide'( identity, inverse( inverse( identity ) ) ) ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 26, [ =( 'double_divide'( inverse( identity ), 'double_divide'(
% 0.72/1.12 identity, inverse( inverse( identity ) ) ) ), identity ) ] )
% 0.72/1.12 , clause( 95, [ =( 'double_divide'( inverse( identity ), 'double_divide'(
% 0.72/1.12 identity, inverse( inverse( identity ) ) ) ), identity ) ] )
% 0.72/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 97, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 0.72/1.12 'double_divide'( identity, inverse( inverse( identity ) ) ) ) ) ] )
% 0.72/1.12 , clause( 18, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.72/1.12 'double_divide'( identity, inverse( inverse( identity ) ) ) ), X ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 99, [ =( 'double_divide'( identity, inverse( inverse( identity ) )
% 0.72/1.12 ), 'double_divide'( inverse( identity ), 'double_divide'( identity,
% 0.72/1.12 inverse( inverse( identity ) ) ) ) ) ] )
% 0.72/1.12 , clause( 25, [ =( 'double_divide'( identity, 'double_divide'( identity,
% 0.72/1.12 inverse( inverse( identity ) ) ) ), inverse( identity ) ) ] )
% 0.72/1.12 , 0, clause( 97, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 0.72/1.12 'double_divide'( identity, inverse( inverse( identity ) ) ) ) ) ] )
% 0.72/1.12 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, 'double_divide'(
% 0.72/1.12 identity, inverse( inverse( identity ) ) ) )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 100, [ =( 'double_divide'( identity, inverse( inverse( identity ) )
% 0.72/1.12 ), identity ) ] )
% 0.72/1.12 , clause( 26, [ =( 'double_divide'( inverse( identity ), 'double_divide'(
% 0.72/1.12 identity, inverse( inverse( identity ) ) ) ), identity ) ] )
% 0.72/1.12 , 0, clause( 99, [ =( 'double_divide'( identity, inverse( inverse( identity
% 0.72/1.12 ) ) ), 'double_divide'( inverse( identity ), 'double_divide'( identity,
% 0.72/1.12 inverse( inverse( identity ) ) ) ) ) ] )
% 0.72/1.12 , 0, 6, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 27, [ =( 'double_divide'( identity, inverse( inverse( identity ) )
% 0.72/1.12 ), identity ) ] )
% 0.72/1.12 , clause( 100, [ =( 'double_divide'( identity, inverse( inverse( identity )
% 0.72/1.12 ) ), identity ) ] )
% 0.72/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 103, [ =( Z, 'double_divide'( 'double_divide'( identity, X ),
% 0.72/1.12 'double_divide'( identity, 'double_divide'( multiply( Y, X ),
% 0.72/1.12 'double_divide'( Z, Y ) ) ) ) ) ] )
% 0.72/1.12 , clause( 9, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.72/1.12 'double_divide'( identity, 'double_divide'( multiply( Y, X ),
% 0.72/1.12 'double_divide'( Z, Y ) ) ) ), Z ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 106, [ ~( =( identity, inverse( identity ) ) ) ] )
% 0.72/1.12 , clause( 11, [ ~( =( inverse( identity ), identity ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 108, [ =( identity, 'double_divide'( 'double_divide'( identity, X )
% 0.72/1.12 , 'double_divide'( identity, 'double_divide'( multiply( inverse( inverse(
% 0.72/1.12 identity ) ), X ), identity ) ) ) ) ] )
% 0.72/1.12 , clause( 27, [ =( 'double_divide'( identity, inverse( inverse( identity )
% 0.72/1.12 ) ), identity ) ] )
% 0.72/1.12 , 0, clause( 103, [ =( Z, 'double_divide'( 'double_divide'( identity, X ),
% 0.72/1.12 'double_divide'( identity, 'double_divide'( multiply( Y, X ),
% 0.72/1.12 'double_divide'( Z, Y ) ) ) ) ) ] )
% 0.72/1.12 , 0, 14, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 0.72/1.12 inverse( inverse( identity ) ) ), :=( Z, identity )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 109, [ =( identity, 'double_divide'( 'double_divide'( identity, X )
% 0.72/1.12 , 'double_divide'( identity, inverse( multiply( inverse( inverse(
% 0.72/1.12 identity ) ), X ) ) ) ) ) ] )
% 0.72/1.12 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.72/1.12 , 0, clause( 108, [ =( identity, 'double_divide'( 'double_divide'( identity
% 0.72/1.12 , X ), 'double_divide'( identity, 'double_divide'( multiply( inverse(
% 0.72/1.12 inverse( identity ) ), X ), identity ) ) ) ) ] )
% 0.72/1.12 , 0, 8, substitution( 0, [ :=( X, multiply( inverse( inverse( identity ) )
% 0.72/1.12 , X ) )] ), substitution( 1, [ :=( X, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 110, [ =( identity, inverse( identity ) ) ] )
% 0.72/1.12 , clause( 15, [ =( 'double_divide'( 'double_divide'( identity, Y ),
% 0.72/1.12 'double_divide'( identity, inverse( multiply( inverse( X ), Y ) ) ) ), X
% 0.72/1.12 ) ] )
% 0.72/1.12 , 0, clause( 109, [ =( identity, 'double_divide'( 'double_divide'( identity
% 0.72/1.12 , X ), 'double_divide'( identity, inverse( multiply( inverse( inverse(
% 0.72/1.12 identity ) ), X ) ) ) ) ) ] )
% 0.72/1.12 , 0, 2, substitution( 0, [ :=( X, inverse( identity ) ), :=( Y, X )] ),
% 0.72/1.12 substitution( 1, [ :=( X, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 resolution(
% 0.72/1.12 clause( 111, [] )
% 0.72/1.12 , clause( 106, [ ~( =( identity, inverse( identity ) ) ) ] )
% 0.72/1.12 , 0, clause( 110, [ =( identity, inverse( identity ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 35, [] )
% 0.72/1.12 , clause( 111, [] )
% 0.72/1.12 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 end.
% 0.72/1.12
% 0.72/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.12
% 0.72/1.12 Memory use:
% 0.72/1.12
% 0.72/1.12 space for terms: 499
% 0.72/1.12 space for clauses: 4147
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 clauses generated: 105
% 0.72/1.12 clauses kept: 36
% 0.72/1.12 clauses selected: 15
% 0.72/1.12 clauses deleted: 2
% 0.72/1.12 clauses inuse deleted: 0
% 0.72/1.12
% 0.72/1.12 subsentry: 200
% 0.72/1.12 literals s-matched: 81
% 0.72/1.12 literals matched: 81
% 0.72/1.12 full subsumption: 0
% 0.72/1.12
% 0.72/1.12 checksum: -656648979
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Bliksem ended
%------------------------------------------------------------------------------