%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP482-1 : 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 07:37:15 EDT 2022
% Result : Unsatisfiable 0.78s 1.16s
% Output : Refutation 0.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP482-1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n020.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 : Mon Jun 13 06:22:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.78/1.16 *** allocated 10000 integers for termspace/termends
% 0.78/1.16 *** allocated 10000 integers for clauses
% 0.78/1.16 *** allocated 10000 integers for justifications
% 0.78/1.16 Bliksem 1.12
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 Automatic Strategy Selection
% 0.78/1.16
% 0.78/1.16 Clauses:
% 0.78/1.16 [
% 0.78/1.16 [ =( 'double_divide'( 'double_divide'( 'double_divide'( X,
% 0.78/1.16 'double_divide'( Y, identity ) ), 'double_divide'( 'double_divide'( Z,
% 0.78/1.16 'double_divide'( T, 'double_divide'( T, identity ) ) ), 'double_divide'(
% 0.78/1.16 X, identity ) ) ), Y ), Z ) ],
% 0.78/1.16 [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X ),
% 0.78/1.16 identity ) ) ],
% 0.78/1.16 [ =( inverse( X ), 'double_divide'( X, identity ) ) ],
% 0.78/1.16 [ =( identity, 'double_divide'( X, inverse( X ) ) ) ],
% 0.78/1.16 [ ~( =( multiply( identity, a2 ), a2 ) ) ]
% 0.78/1.16 ] .
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 percentage equality = 1.000000, percentage horn = 1.000000
% 0.78/1.16 This is a pure equality problem
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 Options Used:
% 0.78/1.16
% 0.78/1.16 useres = 1
% 0.78/1.16 useparamod = 1
% 0.78/1.16 useeqrefl = 1
% 0.78/1.16 useeqfact = 1
% 0.78/1.16 usefactor = 1
% 0.78/1.16 usesimpsplitting = 0
% 0.78/1.16 usesimpdemod = 5
% 0.78/1.16 usesimpres = 3
% 0.78/1.16
% 0.78/1.16 resimpinuse = 1000
% 0.78/1.16 resimpclauses = 20000
% 0.78/1.16 substype = eqrewr
% 0.78/1.16 backwardsubs = 1
% 0.78/1.16 selectoldest = 5
% 0.78/1.16
% 0.78/1.16 litorderings [0] = split
% 0.78/1.16 litorderings [1] = extend the termordering, first sorting on arguments
% 0.78/1.16
% 0.78/1.16 termordering = kbo
% 0.78/1.16
% 0.78/1.16 litapriori = 0
% 0.78/1.16 termapriori = 1
% 0.78/1.16 litaposteriori = 0
% 0.78/1.16 termaposteriori = 0
% 0.78/1.16 demodaposteriori = 0
% 0.78/1.16 ordereqreflfact = 0
% 0.78/1.16
% 0.78/1.16 litselect = negord
% 0.78/1.16
% 0.78/1.16 maxweight = 15
% 0.78/1.16 maxdepth = 30000
% 0.78/1.16 maxlength = 115
% 0.78/1.16 maxnrvars = 195
% 0.78/1.16 excuselevel = 1
% 0.78/1.16 increasemaxweight = 1
% 0.78/1.16
% 0.78/1.16 maxselected = 10000000
% 0.78/1.16 maxnrclauses = 10000000
% 0.78/1.16
% 0.78/1.16 showgenerated = 0
% 0.78/1.16 showkept = 0
% 0.78/1.16 showselected = 0
% 0.78/1.16 showdeleted = 0
% 0.78/1.16 showresimp = 1
% 0.78/1.16 showstatus = 2000
% 0.78/1.16
% 0.78/1.16 prologoutput = 1
% 0.78/1.16 nrgoals = 5000000
% 0.78/1.16 totalproof = 1
% 0.78/1.16
% 0.78/1.16 Symbols occurring in the translation:
% 0.78/1.16
% 0.78/1.16 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.78/1.16 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.78/1.16 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.78/1.16 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.78/1.16 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.78/1.16 identity [41, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.78/1.16 'double_divide' [42, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.78/1.16 multiply [45, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.78/1.16 inverse [46, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.78/1.16 a2 [47, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 Starting Search:
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 Bliksems!, er is een bewijs:
% 0.78/1.16 % SZS status Unsatisfiable
% 0.78/1.16 % SZS output start Refutation
% 0.78/1.16
% 0.78/1.16 clause( 0, [ =( 'double_divide'( 'double_divide'( 'double_divide'( X,
% 0.78/1.16 'double_divide'( Y, identity ) ), 'double_divide'( 'double_divide'( Z,
% 0.78/1.16 'double_divide'( T, 'double_divide'( T, identity ) ) ), 'double_divide'(
% 0.78/1.16 X, identity ) ) ), Y ), Z ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.78/1.16 multiply( X, Y ) ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 4, [ ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 9, [ =( 'double_divide'( 'double_divide'( 'double_divide'( X,
% 0.78/1.16 inverse( Y ) ), 'double_divide'( inverse( Z ), inverse( X ) ) ), Y ), Z )
% 0.78/1.16 ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 11, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 14, [ =( 'double_divide'( multiply( inverse( Y ), inverse( X ) ), Y
% 0.78/1.16 ), X ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 17, [ =( 'double_divide'( inverse( identity ), inverse( X ) ), X )
% 0.78/1.16 ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 27, [ =( inverse( identity ), identity ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 28, [ =( 'double_divide'( identity, inverse( X ) ), X ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 32, [ =( 'double_divide'( 'double_divide'( X, inverse( inverse( Y )
% 0.78/1.16 ) ), X ), Y ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 62, [ =( inverse( inverse( X ) ), X ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 66, [] )
% 0.78/1.16 .
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 % SZS output end Refutation
% 0.78/1.16 found a proof!
% 0.78/1.16
% 0.78/1.16 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.78/1.16
% 0.78/1.16 initialclauses(
% 0.78/1.16 [ clause( 68, [ =( 'double_divide'( 'double_divide'( 'double_divide'( X,
% 0.78/1.16 'double_divide'( Y, identity ) ), 'double_divide'( 'double_divide'( Z,
% 0.78/1.16 'double_divide'( T, 'double_divide'( T, identity ) ) ), 'double_divide'(
% 0.78/1.16 X, identity ) ) ), Y ), Z ) ] )
% 0.78/1.16 , clause( 69, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X
% 0.78/1.16 ), identity ) ) ] )
% 0.78/1.16 , clause( 70, [ =( inverse( X ), 'double_divide'( X, identity ) ) ] )
% 0.78/1.16 , clause( 71, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.78/1.16 , clause( 72, [ ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.78/1.16 ] ).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 subsumption(
% 0.78/1.16 clause( 0, [ =( 'double_divide'( 'double_divide'( 'double_divide'( X,
% 0.78/1.16 'double_divide'( Y, identity ) ), 'double_divide'( 'double_divide'( Z,
% 0.78/1.16 'double_divide'( T, 'double_divide'( T, identity ) ) ), 'double_divide'(
% 0.78/1.16 X, identity ) ) ), Y ), Z ) ] )
% 0.78/1.16 , clause( 68, [ =( 'double_divide'( 'double_divide'( 'double_divide'( X,
% 0.78/1.16 'double_divide'( Y, identity ) ), 'double_divide'( 'double_divide'( Z,
% 0.78/1.16 'double_divide'( T, 'double_divide'( T, identity ) ) ), 'double_divide'(
% 0.78/1.16 X, identity ) ) ), Y ), Z ) ] )
% 0.78/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.78/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 eqswap(
% 0.78/1.16 clause( 75, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.78/1.16 multiply( X, Y ) ) ] )
% 0.78/1.16 , clause( 69, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X
% 0.78/1.16 ), identity ) ) ] )
% 0.78/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 subsumption(
% 0.78/1.16 clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.78/1.16 multiply( X, Y ) ) ] )
% 0.78/1.16 , clause( 75, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.78/1.16 multiply( X, Y ) ) ] )
% 0.78/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.16 )] ) ).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 eqswap(
% 0.78/1.16 clause( 78, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.78/1.16 , clause( 70, [ =( inverse( X ), 'double_divide'( X, identity ) ) ] )
% 0.78/1.16 , 0, substitution( 0, [ :=( X, X )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 subsumption(
% 0.78/1.16 clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.78/1.16 , clause( 78, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.78/1.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 eqswap(
% 0.78/1.16 clause( 82, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.78/1.16 , clause( 71, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.78/1.16 , 0, substitution( 0, [ :=( X, X )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 subsumption(
% 0.78/1.16 clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.78/1.16 , clause( 82, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.78/1.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 subsumption(
% 0.78/1.16 clause( 4, [ ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.78/1.16 , clause( 72, [ ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.78/1.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 paramod(
% 0.78/1.16 clause( 90, [ =( inverse( 'double_divide'( X, Y ) ), multiply( Y, X ) ) ]
% 0.78/1.16 )
% 0.78/1.16 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.78/1.16 , 0, clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.78/1.16 multiply( X, Y ) ) ] )
% 0.78/1.16 , 0, 1, substitution( 0, [ :=( X, 'double_divide'( X, Y ) )] ),
% 0.78/1.16 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 subsumption(
% 0.78/1.16 clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.78/1.16 , clause( 90, [ =( inverse( 'double_divide'( X, Y ) ), multiply( Y, X ) ) ]
% 0.78/1.16 )
% 0.78/1.16 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.16 )] ) ).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 eqswap(
% 0.78/1.16 clause( 93, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.78/1.16 )
% 0.78/1.16 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.78/1.16 )
% 0.78/1.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 paramod(
% 0.78/1.16 clause( 96, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.78/1.16 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.78/1.16 , 0, clause( 93, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.78/1.16 ) ] )
% 0.78/1.16 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.78/1.16 :=( Y, inverse( X ) )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 subsumption(
% 0.78/1.16 clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.78/1.16 , clause( 96, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.78/1.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 eqswap(
% 0.78/1.16 clause( 99, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.78/1.16 )
% 0.78/1.16 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.78/1.16 )
% 0.78/1.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 paramod(
% 0.78/1.16 clause( 102, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.78/1.16 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.78/1.16 , 0, clause( 99, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.78/1.16 ) ] )
% 0.78/1.16 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.78/1.16 :=( Y, identity )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 subsumption(
% 0.78/1.16 clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.78/1.16 , clause( 102, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.78/1.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 paramod(
% 0.78/1.16 clause( 112, [ =( 'double_divide'( 'double_divide'( 'double_divide'( X,
% 0.78/1.16 'double_divide'( Y, identity ) ), 'double_divide'( 'double_divide'( Z,
% 0.78/1.16 'double_divide'( T, 'double_divide'( T, identity ) ) ), inverse( X ) ) )
% 0.78/1.16 , Y ), Z ) ] )
% 0.78/1.16 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.78/1.16 , 0, clause( 0, [ =( 'double_divide'( 'double_divide'( 'double_divide'( X,
% 0.78/1.16 'double_divide'( Y, identity ) ), 'double_divide'( 'double_divide'( Z,
% 0.78/1.16 'double_divide'( T, 'double_divide'( T, identity ) ) ), 'double_divide'(
% 0.78/1.16 X, identity ) ) ), Y ), Z ) ] )
% 0.78/1.16 , 0, 16, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.78/1.16 :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 paramod(
% 0.78/1.16 clause( 118, [ =( 'double_divide'( 'double_divide'( 'double_divide'( X,
% 0.78/1.16 'double_divide'( Y, identity ) ), 'double_divide'( 'double_divide'( Z,
% 0.78/1.16 'double_divide'( T, inverse( T ) ) ), inverse( X ) ) ), Y ), Z ) ] )
% 0.78/1.16 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.78/1.16 , 0, clause( 112, [ =( 'double_divide'( 'double_divide'( 'double_divide'( X
% 0.78/1.16 , 'double_divide'( Y, identity ) ), 'double_divide'( 'double_divide'( Z,
% 0.78/1.16 'double_divide'( T, 'double_divide'( T, identity ) ) ), inverse( X ) ) )
% 0.78/1.16 , Y ), Z ) ] )
% 0.78/1.16 , 0, 13, substitution( 0, [ :=( X, T )] ), substitution( 1, [ :=( X, X ),
% 0.78/1.16 :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 paramod(
% 0.78/1.16 clause( 120, [ =( 'double_divide'( 'double_divide'( 'double_divide'( X,
% 0.78/1.16 'double_divide'( Y, identity ) ), 'double_divide'( 'double_divide'( Z,
% 0.78/1.16 identity ), inverse( X ) ) ), Y ), Z ) ] )
% 0.78/1.16 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.78/1.16 , 0, clause( 118, [ =( 'double_divide'( 'double_divide'( 'double_divide'( X
% 0.78/1.16 , 'double_divide'( Y, identity ) ), 'double_divide'( 'double_divide'( Z,
% 0.78/1.16 'double_divide'( T, inverse( T ) ) ), inverse( X ) ) ), Y ), Z ) ] )
% 0.78/1.16 , 0, 11, substitution( 0, [ :=( X, T )] ), substitution( 1, [ :=( X, X ),
% 0.78/1.16 :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 paramod(
% 0.78/1.16 clause( 122, [ =( 'double_divide'( 'double_divide'( 'double_divide'( X,
% 0.78/1.16 'double_divide'( Y, identity ) ), 'double_divide'( inverse( Z ), inverse(
% 0.78/1.16 X ) ) ), Y ), Z ) ] )
% 0.78/1.16 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.78/1.16 , 0, clause( 120, [ =( 'double_divide'( 'double_divide'( 'double_divide'( X
% 0.78/1.16 , 'double_divide'( Y, identity ) ), 'double_divide'( 'double_divide'( Z,
% 0.78/1.16 identity ), inverse( X ) ) ), Y ), Z ) ] )
% 0.78/1.16 , 0, 9, substitution( 0, [ :=( X, Z )] ), substitution( 1, [ :=( X, X ),
% 0.78/1.16 :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 paramod(
% 0.78/1.16 clause( 124, [ =( 'double_divide'( 'double_divide'( 'double_divide'( X,
% 0.78/1.16 inverse( Y ) ), 'double_divide'( inverse( Z ), inverse( X ) ) ), Y ), Z )
% 0.78/1.16 ] )
% 0.78/1.16 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.78/1.16 , 0, clause( 122, [ =( 'double_divide'( 'double_divide'( 'double_divide'( X
% 0.78/1.16 , 'double_divide'( Y, identity ) ), 'double_divide'( inverse( Z ),
% 0.78/1.16 inverse( X ) ) ), Y ), Z ) ] )
% 0.78/1.16 , 0, 5, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.78/1.16 :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 subsumption(
% 0.78/1.16 clause( 9, [ =( 'double_divide'( 'double_divide'( 'double_divide'( X,
% 0.78/1.16 inverse( Y ) ), 'double_divide'( inverse( Z ), inverse( X ) ) ), Y ), Z )
% 0.78/1.16 ] )
% 0.78/1.16 , clause( 124, [ =( 'double_divide'( 'double_divide'( 'double_divide'( X,
% 0.78/1.16 inverse( Y ) ), 'double_divide'( inverse( Z ), inverse( X ) ) ), Y ), Z )
% 0.78/1.16 ] )
% 0.78/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.78/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 eqswap(
% 0.78/1.16 clause( 127, [ ~( =( a2, multiply( identity, a2 ) ) ) ] )
% 0.78/1.16 , clause( 4, [ ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.78/1.16 , 0, substitution( 0, [] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 paramod(
% 0.78/1.16 clause( 128, [ ~( =( a2, inverse( inverse( a2 ) ) ) ) ] )
% 0.78/1.16 , clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.78/1.16 , 0, clause( 127, [ ~( =( a2, multiply( identity, a2 ) ) ) ] )
% 0.78/1.16 , 0, 3, substitution( 0, [ :=( X, a2 )] ), substitution( 1, [] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 eqswap(
% 0.78/1.16 clause( 129, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.78/1.16 , clause( 128, [ ~( =( a2, inverse( inverse( a2 ) ) ) ) ] )
% 0.78/1.16 , 0, substitution( 0, [] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 subsumption(
% 0.78/1.16 clause( 11, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.78/1.16 , clause( 129, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.78/1.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 eqswap(
% 0.78/1.16 clause( 131, [ =( Z, 'double_divide'( 'double_divide'( 'double_divide'( X,
% 0.78/1.16 inverse( Y ) ), 'double_divide'( inverse( Z ), inverse( X ) ) ), Y ) ) ]
% 0.78/1.16 )
% 0.78/1.16 , clause( 9, [ =( 'double_divide'( 'double_divide'( 'double_divide'( X,
% 0.78/1.16 inverse( Y ) ), 'double_divide'( inverse( Z ), inverse( X ) ) ), Y ), Z )
% 0.78/1.16 ] )
% 0.78/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 paramod(
% 0.78/1.16 clause( 135, [ =( X, 'double_divide'( 'double_divide'( 'double_divide'(
% 0.78/1.16 inverse( X ), inverse( Y ) ), identity ), Y ) ) ] )
% 0.78/1.16 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.78/1.16 , 0, clause( 131, [ =( Z, 'double_divide'( 'double_divide'( 'double_divide'(
% 0.78/1.16 X, inverse( Y ) ), 'double_divide'( inverse( Z ), inverse( X ) ) ), Y ) )
% 0.78/1.16 ] )
% 0.78/1.16 , 0, 9, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.78/1.16 :=( X, inverse( X ) ), :=( Y, Y ), :=( Z, X )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 paramod(
% 0.78/1.16 clause( 136, [ =( X, 'double_divide'( inverse( 'double_divide'( inverse( X
% 0.78/1.16 ), inverse( Y ) ) ), Y ) ) ] )
% 0.78/1.16 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.78/1.16 , 0, clause( 135, [ =( X, 'double_divide'( 'double_divide'( 'double_divide'(
% 0.78/1.16 inverse( X ), inverse( Y ) ), identity ), Y ) ) ] )
% 0.78/1.16 , 0, 3, substitution( 0, [ :=( X, 'double_divide'( inverse( X ), inverse( Y
% 0.78/1.16 ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 paramod(
% 0.78/1.16 clause( 137, [ =( X, 'double_divide'( multiply( inverse( Y ), inverse( X )
% 0.78/1.16 ), Y ) ) ] )
% 0.78/1.16 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.78/1.16 )
% 0.78/1.16 , 0, clause( 136, [ =( X, 'double_divide'( inverse( 'double_divide'(
% 0.78/1.16 inverse( X ), inverse( Y ) ) ), Y ) ) ] )
% 0.78/1.16 , 0, 3, substitution( 0, [ :=( X, inverse( Y ) ), :=( Y, inverse( X ) )] )
% 0.78/1.16 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 eqswap(
% 0.78/1.16 clause( 138, [ =( 'double_divide'( multiply( inverse( Y ), inverse( X ) ),
% 0.78/1.16 Y ), X ) ] )
% 0.78/1.16 , clause( 137, [ =( X, 'double_divide'( multiply( inverse( Y ), inverse( X
% 0.78/1.16 ) ), Y ) ) ] )
% 0.78/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 subsumption(
% 0.78/1.16 clause( 14, [ =( 'double_divide'( multiply( inverse( Y ), inverse( X ) ), Y
% 0.78/1.16 ), X ) ] )
% 0.78/1.16 , clause( 138, [ =( 'double_divide'( multiply( inverse( Y ), inverse( X ) )
% 0.78/1.16 , Y ), X ) ] )
% 0.78/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.16 )] ) ).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 eqswap(
% 0.78/1.16 clause( 140, [ =( Y, 'double_divide'( multiply( inverse( X ), inverse( Y )
% 0.78/1.16 ), X ) ) ] )
% 0.78/1.16 , clause( 14, [ =( 'double_divide'( multiply( inverse( Y ), inverse( X ) )
% 0.78/1.16 , Y ), X ) ] )
% 0.78/1.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 paramod(
% 0.78/1.16 clause( 141, [ =( X, 'double_divide'( inverse( identity ), inverse( X ) ) )
% 0.78/1.16 ] )
% 0.78/1.16 , clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.78/1.16 , 0, clause( 140, [ =( Y, 'double_divide'( multiply( inverse( X ), inverse(
% 0.78/1.16 Y ) ), X ) ) ] )
% 0.78/1.16 , 0, 3, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.78/1.16 :=( X, inverse( X ) ), :=( Y, X )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 eqswap(
% 0.78/1.16 clause( 142, [ =( 'double_divide'( inverse( identity ), inverse( X ) ), X )
% 0.78/1.16 ] )
% 0.78/1.16 , clause( 141, [ =( X, 'double_divide'( inverse( identity ), inverse( X ) )
% 0.78/1.16 ) ] )
% 0.78/1.16 , 0, substitution( 0, [ :=( X, X )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 subsumption(
% 0.78/1.16 clause( 17, [ =( 'double_divide'( inverse( identity ), inverse( X ) ), X )
% 0.78/1.16 ] )
% 0.78/1.16 , clause( 142, [ =( 'double_divide'( inverse( identity ), inverse( X ) ), X
% 0.78/1.16 ) ] )
% 0.78/1.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 eqswap(
% 0.78/1.16 clause( 143, [ =( X, 'double_divide'( inverse( identity ), inverse( X ) ) )
% 0.78/1.16 ] )
% 0.78/1.16 , clause( 17, [ =( 'double_divide'( inverse( identity ), inverse( X ) ), X
% 0.78/1.16 ) ] )
% 0.78/1.16 , 0, substitution( 0, [ :=( X, X )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 paramod(
% 0.78/1.16 clause( 145, [ =( inverse( identity ), identity ) ] )
% 0.78/1.16 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.78/1.16 , 0, clause( 143, [ =( X, 'double_divide'( inverse( identity ), inverse( X
% 0.78/1.16 ) ) ) ] )
% 0.78/1.16 , 0, 3, substitution( 0, [ :=( X, inverse( identity ) )] ), substitution( 1
% 0.78/1.16 , [ :=( X, inverse( identity ) )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 subsumption(
% 0.78/1.16 clause( 27, [ =( inverse( identity ), identity ) ] )
% 0.78/1.16 , clause( 145, [ =( inverse( identity ), identity ) ] )
% 0.78/1.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 eqswap(
% 0.78/1.16 clause( 148, [ =( X, 'double_divide'( inverse( identity ), inverse( X ) ) )
% 0.78/1.16 ] )
% 0.78/1.16 , clause( 17, [ =( 'double_divide'( inverse( identity ), inverse( X ) ), X
% 0.78/1.16 ) ] )
% 0.78/1.16 , 0, substitution( 0, [ :=( X, X )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 paramod(
% 0.78/1.16 clause( 149, [ =( X, 'double_divide'( identity, inverse( X ) ) ) ] )
% 0.78/1.16 , clause( 27, [ =( inverse( identity ), identity ) ] )
% 0.78/1.16 , 0, clause( 148, [ =( X, 'double_divide'( inverse( identity ), inverse( X
% 0.78/1.16 ) ) ) ] )
% 0.78/1.16 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 eqswap(
% 0.78/1.16 clause( 152, [ =( 'double_divide'( identity, inverse( X ) ), X ) ] )
% 0.78/1.16 , clause( 149, [ =( X, 'double_divide'( identity, inverse( X ) ) ) ] )
% 0.78/1.16 , 0, substitution( 0, [ :=( X, X )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 subsumption(
% 0.78/1.16 clause( 28, [ =( 'double_divide'( identity, inverse( X ) ), X ) ] )
% 0.78/1.16 , clause( 152, [ =( 'double_divide'( identity, inverse( X ) ), X ) ] )
% 0.78/1.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 eqswap(
% 0.78/1.16 clause( 156, [ =( Z, 'double_divide'( 'double_divide'( 'double_divide'( X,
% 0.78/1.16 inverse( Y ) ), 'double_divide'( inverse( Z ), inverse( X ) ) ), Y ) ) ]
% 0.78/1.16 )
% 0.78/1.16 , clause( 9, [ =( 'double_divide'( 'double_divide'( 'double_divide'( X,
% 0.78/1.16 inverse( Y ) ), 'double_divide'( inverse( Z ), inverse( X ) ) ), Y ), Z )
% 0.78/1.16 ] )
% 0.78/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 paramod(
% 0.78/1.16 clause( 161, [ =( X, 'double_divide'( 'double_divide'( 'double_divide'(
% 0.78/1.16 identity, inverse( Y ) ), 'double_divide'( inverse( X ), identity ) ), Y
% 0.78/1.16 ) ) ] )
% 0.78/1.16 , clause( 27, [ =( inverse( identity ), identity ) ] )
% 0.78/1.16 , 0, clause( 156, [ =( Z, 'double_divide'( 'double_divide'( 'double_divide'(
% 0.78/1.16 X, inverse( Y ) ), 'double_divide'( inverse( Z ), inverse( X ) ) ), Y ) )
% 0.78/1.16 ] )
% 0.78/1.16 , 0, 11, substitution( 0, [] ), substitution( 1, [ :=( X, identity ), :=( Y
% 0.78/1.16 , Y ), :=( Z, X )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 paramod(
% 0.78/1.16 clause( 162, [ =( X, 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.78/1.16 inverse( X ), identity ) ), Y ) ) ] )
% 0.78/1.16 , clause( 28, [ =( 'double_divide'( identity, inverse( X ) ), X ) ] )
% 0.78/1.16 , 0, clause( 161, [ =( X, 'double_divide'( 'double_divide'( 'double_divide'(
% 0.78/1.16 identity, inverse( Y ) ), 'double_divide'( inverse( X ), identity ) ), Y
% 0.78/1.16 ) ) ] )
% 0.78/1.16 , 0, 4, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.78/1.16 :=( Y, Y )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 paramod(
% 0.78/1.16 clause( 163, [ =( X, 'double_divide'( 'double_divide'( Y, inverse( inverse(
% 0.78/1.16 X ) ) ), Y ) ) ] )
% 0.78/1.16 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.78/1.16 , 0, clause( 162, [ =( X, 'double_divide'( 'double_divide'( Y,
% 0.78/1.16 'double_divide'( inverse( X ), identity ) ), Y ) ) ] )
% 0.78/1.16 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.78/1.16 :=( X, X ), :=( Y, Y )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 eqswap(
% 0.78/1.16 clause( 164, [ =( 'double_divide'( 'double_divide'( Y, inverse( inverse( X
% 0.78/1.16 ) ) ), Y ), X ) ] )
% 0.78/1.16 , clause( 163, [ =( X, 'double_divide'( 'double_divide'( Y, inverse(
% 0.78/1.16 inverse( X ) ) ), Y ) ) ] )
% 0.78/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 subsumption(
% 0.78/1.16 clause( 32, [ =( 'double_divide'( 'double_divide'( X, inverse( inverse( Y )
% 0.78/1.16 ) ), X ), Y ) ] )
% 0.78/1.16 , clause( 164, [ =( 'double_divide'( 'double_divide'( Y, inverse( inverse(
% 0.78/1.16 X ) ) ), Y ), X ) ] )
% 0.78/1.16 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.16 )] ) ).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 eqswap(
% 0.78/1.16 clause( 166, [ =( Y, 'double_divide'( 'double_divide'( X, inverse( inverse(
% 0.78/1.16 Y ) ) ), X ) ) ] )
% 0.78/1.16 , clause( 32, [ =( 'double_divide'( 'double_divide'( X, inverse( inverse( Y
% 0.78/1.16 ) ) ), X ), Y ) ] )
% 0.78/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 paramod(
% 0.78/1.16 clause( 168, [ =( X, 'double_divide'( inverse( X ), identity ) ) ] )
% 0.78/1.16 , clause( 28, [ =( 'double_divide'( identity, inverse( X ) ), X ) ] )
% 0.78/1.16 , 0, clause( 166, [ =( Y, 'double_divide'( 'double_divide'( X, inverse(
% 0.78/1.16 inverse( Y ) ) ), X ) ) ] )
% 0.78/1.16 , 0, 3, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.78/1.16 :=( X, identity ), :=( Y, X )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 paramod(
% 0.78/1.16 clause( 169, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.78/1.16 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.78/1.16 , 0, clause( 168, [ =( X, 'double_divide'( inverse( X ), identity ) ) ] )
% 0.78/1.16 , 0, 2, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.78/1.16 :=( X, X )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 eqswap(
% 0.78/1.16 clause( 170, [ =( inverse( inverse( X ) ), X ) ] )
% 0.78/1.16 , clause( 169, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.78/1.16 , 0, substitution( 0, [ :=( X, X )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 subsumption(
% 0.78/1.16 clause( 62, [ =( inverse( inverse( X ) ), X ) ] )
% 0.78/1.16 , clause( 170, [ =( inverse( inverse( X ) ), X ) ] )
% 0.78/1.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 eqswap(
% 0.78/1.16 clause( 171, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.78/1.16 , clause( 62, [ =( inverse( inverse( X ) ), X ) ] )
% 0.78/1.16 , 0, substitution( 0, [ :=( X, X )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 eqswap(
% 0.78/1.16 clause( 172, [ ~( =( a2, inverse( inverse( a2 ) ) ) ) ] )
% 0.78/1.16 , clause( 11, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.78/1.16 , 0, substitution( 0, [] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 resolution(
% 0.78/1.16 clause( 173, [] )
% 0.78/1.16 , clause( 172, [ ~( =( a2, inverse( inverse( a2 ) ) ) ) ] )
% 0.78/1.16 , 0, clause( 171, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.78/1.16 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a2 )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 subsumption(
% 0.78/1.16 clause( 66, [] )
% 0.78/1.16 , clause( 173, [] )
% 0.78/1.16 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 end.
% 0.78/1.16
% 0.78/1.16 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.78/1.16
% 0.78/1.16 Memory use:
% 0.78/1.16
% 0.78/1.16 space for terms: 767
% 0.78/1.16 space for clauses: 7349
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 clauses generated: 284
% 0.78/1.16 clauses kept: 67
% 0.78/1.16 clauses selected: 26
% 0.78/1.16 clauses deleted: 13
% 0.78/1.16 clauses inuse deleted: 0
% 0.78/1.16
% 0.78/1.16 subsentry: 302
% 0.78/1.16 literals s-matched: 102
% 0.78/1.16 literals matched: 102
% 0.78/1.16 full subsumption: 0
% 0.78/1.16
% 0.78/1.16 checksum: 1469951637
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 Bliksem ended
%------------------------------------------------------------------------------