TSTP Solution File: GRP493-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP493-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.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 07:37:18 EDT 2022
% Result : Unsatisfiable 0.42s 0.97s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP493-1 : TPTP v8.1.0. Released v2.6.0.
% 0.14/0.14 % Command : bliksem %s
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Tue Jun 14 12:40:23 EDT 2022
% 0.21/0.35 % CPUTime :
% 0.42/0.97 *** allocated 10000 integers for termspace/termends
% 0.42/0.97 *** allocated 10000 integers for clauses
% 0.42/0.97 *** allocated 10000 integers for justifications
% 0.42/0.97 Bliksem 1.12
% 0.42/0.97
% 0.42/0.97
% 0.42/0.97 Automatic Strategy Selection
% 0.42/0.97
% 0.42/0.97 Clauses:
% 0.42/0.97 [
% 0.42/0.97 [ =( 'double_divide'( 'double_divide'( identity, X ), 'double_divide'(
% 0.42/0.97 'double_divide'( 'double_divide'( Y, Z ), 'double_divide'( identity,
% 0.42/0.97 identity ) ), 'double_divide'( X, Z ) ) ), Y ) ],
% 0.42/0.97 [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X ),
% 0.42/0.97 identity ) ) ],
% 0.42/0.97 [ =( inverse( X ), 'double_divide'( X, identity ) ) ],
% 0.42/0.97 [ =( identity, 'double_divide'( X, inverse( X ) ) ) ],
% 0.42/0.97 [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ) ]
% 0.42/0.97 ] .
% 0.42/0.97
% 0.42/0.97
% 0.42/0.97 percentage equality = 1.000000, percentage horn = 1.000000
% 0.42/0.97 This is a pure equality problem
% 0.42/0.97
% 0.42/0.97
% 0.42/0.97
% 0.42/0.97 Options Used:
% 0.42/0.97
% 0.42/0.97 useres = 1
% 0.42/0.97 useparamod = 1
% 0.42/0.97 useeqrefl = 1
% 0.42/0.97 useeqfact = 1
% 0.42/0.97 usefactor = 1
% 0.42/0.97 usesimpsplitting = 0
% 0.42/0.97 usesimpdemod = 5
% 0.42/0.97 usesimpres = 3
% 0.42/0.97
% 0.42/0.97 resimpinuse = 1000
% 0.42/0.97 resimpclauses = 20000
% 0.42/0.97 substype = eqrewr
% 0.42/0.97 backwardsubs = 1
% 0.42/0.97 selectoldest = 5
% 0.42/0.97
% 0.42/0.97 litorderings [0] = split
% 0.42/0.97 litorderings [1] = extend the termordering, first sorting on arguments
% 0.42/0.97
% 0.42/0.97 termordering = kbo
% 0.42/0.97
% 0.42/0.97 litapriori = 0
% 0.42/0.97 termapriori = 1
% 0.42/0.97 litaposteriori = 0
% 0.42/0.97 termaposteriori = 0
% 0.42/0.97 demodaposteriori = 0
% 0.42/0.97 ordereqreflfact = 0
% 0.42/0.97
% 0.42/0.97 litselect = negord
% 0.42/0.97
% 0.42/0.97 maxweight = 15
% 0.42/0.97 maxdepth = 30000
% 0.42/0.97 maxlength = 115
% 0.42/0.97 maxnrvars = 195
% 0.42/0.97 excuselevel = 1
% 0.42/0.97 increasemaxweight = 1
% 0.42/0.97
% 0.42/0.97 maxselected = 10000000
% 0.42/0.97 maxnrclauses = 10000000
% 0.42/0.97
% 0.42/0.97 showgenerated = 0
% 0.42/0.97 showkept = 0
% 0.42/0.97 showselected = 0
% 0.42/0.97 showdeleted = 0
% 0.42/0.97 showresimp = 1
% 0.42/0.97 showstatus = 2000
% 0.42/0.97
% 0.42/0.97 prologoutput = 1
% 0.42/0.97 nrgoals = 5000000
% 0.42/0.97 totalproof = 1
% 0.42/0.97
% 0.42/0.97 Symbols occurring in the translation:
% 0.42/0.97
% 0.42/0.97 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.42/0.97 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.42/0.97 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.42/0.97 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/0.97 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/0.97 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.42/0.97 'double_divide' [41, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.42/0.97 multiply [44, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.42/0.97 inverse [45, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.42/0.97 a1 [46, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.42/0.97
% 0.42/0.97
% 0.42/0.97 Starting Search:
% 0.42/0.97
% 0.42/0.97
% 0.42/0.97 Bliksems!, er is een bewijs:
% 0.42/0.97 % SZS status Unsatisfiable
% 0.42/0.97 % SZS output start Refutation
% 0.42/0.97
% 0.42/0.97 clause( 0, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.42/0.97 'double_divide'( 'double_divide'( 'double_divide'( Y, Z ),
% 0.42/0.97 'double_divide'( identity, identity ) ), 'double_divide'( X, Z ) ) ), Y )
% 0.42/0.97 ] )
% 0.42/0.97 .
% 0.42/0.97 clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.42/0.97 multiply( X, Y ) ) ] )
% 0.42/0.97 .
% 0.42/0.97 clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.42/0.97 .
% 0.42/0.97 clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.42/0.97 .
% 0.42/0.97 clause( 4, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ) ] )
% 0.42/0.97 .
% 0.42/0.97 clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.42/0.97 .
% 0.42/0.97 clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.42/0.97 .
% 0.42/0.97 clause( 9, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.42/0.97 'double_divide'( 'double_divide'( 'double_divide'( Y, Z ), inverse(
% 0.42/0.97 identity ) ), 'double_divide'( X, Z ) ) ), Y ) ] )
% 0.42/0.97 .
% 0.42/0.97 clause( 11, [ ~( =( inverse( identity ), identity ) ) ] )
% 0.42/0.97 .
% 0.42/0.97 clause( 14, [ =( 'double_divide'( 'double_divide'( identity, Y ),
% 0.42/0.97 'double_divide'( identity, 'double_divide'( Y, inverse( X ) ) ) ), X ) ]
% 0.42/0.97 )
% 0.42/0.97 .
% 0.42/0.97 clause( 22, [ =( 'double_divide'( 'double_divide'( identity, X ), inverse(
% 0.42/0.97 identity ) ), X ) ] )
% 0.42/0.97 .
% 0.42/0.97 clause( 29, [ =( inverse( identity ), identity ) ] )
% 0.42/0.97 .
% 0.42/0.97 clause( 30, [] )
% 0.42/0.97 .
% 0.42/0.97
% 0.42/0.97
% 0.42/0.97 % SZS output end Refutation
% 0.42/0.97 found a proof!
% 0.42/0.97
% 0.42/0.97 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/0.97
% 0.42/0.97 initialclauses(
% 0.42/0.97 [ clause( 32, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.42/0.97 'double_divide'( 'double_divide'( 'double_divide'( Y, Z ),
% 0.42/0.97 'double_divide'( identity, identity ) ), 'double_divide'( X, Z ) ) ), Y )
% 0.42/0.97 ] )
% 0.42/0.97 , clause( 33, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X
% 0.42/0.97 ), identity ) ) ] )
% 0.42/0.97 , clause( 34, [ =( inverse( X ), 'double_divide'( X, identity ) ) ] )
% 0.42/0.97 , clause( 35, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.42/0.97 , clause( 36, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ) ] )
% 0.42/0.97 ] ).
% 0.42/0.97
% 0.42/0.97
% 0.42/0.97
% 0.42/0.97 subsumption(
% 0.42/0.97 clause( 0, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.42/0.97 'double_divide'( 'double_divide'( 'double_divide'( Y, Z ),
% 0.42/0.97 'double_divide'( identity, identity ) ), 'double_divide'( X, Z ) ) ), Y )
% 0.42/0.97 ] )
% 0.42/0.97 , clause( 32, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.42/0.97 'double_divide'( 'double_divide'( 'double_divide'( Y, Z ),
% 0.42/0.97 'double_divide'( identity, identity ) ), 'double_divide'( X, Z ) ) ), Y )
% 0.42/0.97 ] )
% 0.42/0.97 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.42/0.97 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/0.97
% 0.42/0.97
% 0.42/0.97 eqswap(
% 0.42/0.97 clause( 39, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.42/0.97 multiply( X, Y ) ) ] )
% 0.42/0.97 , clause( 33, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X
% 0.42/0.97 ), identity ) ) ] )
% 0.42/0.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/0.97
% 0.42/0.97
% 0.42/0.97 subsumption(
% 0.42/0.97 clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.42/0.97 multiply( X, Y ) ) ] )
% 0.42/0.97 , clause( 39, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.42/0.97 multiply( X, Y ) ) ] )
% 0.42/0.97 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/0.97 )] ) ).
% 0.42/0.97
% 0.42/0.97
% 0.42/0.97 eqswap(
% 0.42/0.97 clause( 42, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.42/0.97 , clause( 34, [ =( inverse( X ), 'double_divide'( X, identity ) ) ] )
% 0.42/0.97 , 0, substitution( 0, [ :=( X, X )] )).
% 0.42/0.97
% 0.42/0.97
% 0.42/0.97 subsumption(
% 0.42/0.97 clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.42/0.97 , clause( 42, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.42/0.97 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/0.97
% 0.42/0.97
% 0.42/0.97 eqswap(
% 0.42/0.97 clause( 46, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.42/0.97 , clause( 35, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.42/0.97 , 0, substitution( 0, [ :=( X, X )] )).
% 0.42/0.97
% 0.42/0.97
% 0.42/0.97 subsumption(
% 0.42/0.97 clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.42/0.97 , clause( 46, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.42/0.97 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/0.97
% 0.42/0.97
% 0.42/0.97 subsumption(
% 0.42/0.97 clause( 4, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ) ] )
% 0.42/0.97 , clause( 36, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ) ] )
% 0.42/0.97 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/0.97
% 0.42/0.97
% 0.42/0.97 paramod(
% 0.42/0.97 clause( 54, [ =( inverse( 'double_divide'( X, Y ) ), multiply( Y, X ) ) ]
% 0.42/0.97 )
% 0.42/0.97 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.42/0.97 , 0, clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.42/0.97 multiply( X, Y ) ) ] )
% 0.42/0.97 , 0, 1, substitution( 0, [ :=( X, 'double_divide'( X, Y ) )] ),
% 0.42/0.97 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.42/0.97
% 0.42/0.97
% 0.42/0.97 subsumption(
% 0.42/0.97 clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.42/0.97 , clause( 54, [ =( inverse( 'double_divide'( X, Y ) ), multiply( Y, X ) ) ]
% 0.42/0.97 )
% 0.42/0.97 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.42/0.97 )] ) ).
% 0.42/0.97
% 0.42/0.97
% 0.42/0.97 eqswap(
% 0.42/0.97 clause( 57, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.42/0.97 )
% 0.42/0.97 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.42/0.97 )
% 0.42/0.97 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.42/0.97
% 0.42/0.97
% 0.42/0.97 paramod(
% 0.42/0.97 clause( 60, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.42/0.97 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.42/0.97 , 0, clause( 57, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.42/0.97 ) ] )
% 0.42/0.97 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.42/0.97 :=( Y, inverse( X ) )] )).
% 0.42/0.97
% 0.42/0.97
% 0.42/0.97 subsumption(
% 0.42/0.97 clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.42/0.97 , clause( 60, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.42/0.97 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/0.97
% 0.42/0.97
% 0.42/0.97 paramod(
% 0.42/0.97 clause( 64, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.42/0.97 'double_divide'( 'double_divide'( 'double_divide'( Y, Z ), inverse(
% 0.42/0.97 identity ) ), 'double_divide'( X, Z ) ) ), Y ) ] )
% 0.42/0.97 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.42/0.97 , 0, clause( 0, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.42/0.97 'double_divide'( 'double_divide'( 'double_divide'( Y, Z ),
% 0.42/0.97 'double_divide'( identity, identity ) ), 'double_divide'( X, Z ) ) ), Y )
% 0.42/0.97 ] )
% 0.42/0.97 , 0, 10, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X
% 0.42/0.97 , X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/0.97
% 0.42/0.97
% 0.42/0.97 subsumption(
% 0.42/0.97 clause( 9, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.42/0.97 'double_divide'( 'double_divide'( 'double_divide'( Y, Z ), inverse(
% 0.42/0.97 identity ) ), 'double_divide'( X, Z ) ) ), Y ) ] )
% 0.42/0.97 , clause( 64, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.42/0.97 'double_divide'( 'double_divide'( 'double_divide'( Y, Z ), inverse(
% 0.42/0.97 identity ) ), 'double_divide'( X, Z ) ) ), Y ) ] )
% 0.42/0.97 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.42/0.97 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/0.97
% 0.42/0.97
% 0.42/0.97 eqswap(
% 0.42/0.97 clause( 67, [ ~( =( identity, multiply( inverse( a1 ), a1 ) ) ) ] )
% 0.42/0.97 , clause( 4, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ) ] )
% 0.42/0.97 , 0, substitution( 0, [] )).
% 0.42/0.97
% 0.42/0.97
% 0.42/0.97 paramod(
% 0.42/0.97 clause( 68, [ ~( =( identity, inverse( identity ) ) ) ] )
% 0.42/0.97 , clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.42/0.97 , 0, clause( 67, [ ~( =( identity, multiply( inverse( a1 ), a1 ) ) ) ] )
% 0.42/0.97 , 0, 3, substitution( 0, [ :=( X, a1 )] ), substitution( 1, [] )).
% 0.42/0.97
% 0.42/0.97
% 0.42/0.97 eqswap(
% 0.42/0.97 clause( 69, [ ~( =( inverse( identity ), identity ) ) ] )
% 0.42/0.97 , clause( 68, [ ~( =( identity, inverse( identity ) ) ) ] )
% 0.42/0.97 , 0, substitution( 0, [] )).
% 0.42/0.97
% 0.42/0.97
% 0.42/0.97 subsumption(
% 0.42/0.97 clause( 11, [ ~( =( inverse( identity ), identity ) ) ] )
% 0.42/0.97 , clause( 69, [ ~( =( inverse( identity ), identity ) ) ] )
% 0.42/0.97 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/0.97
% 0.42/0.97
% 0.42/0.97 eqswap(
% 0.42/0.97 clause( 71, [ =( Y, 'double_divide'( 'double_divide'( identity, X ),
% 0.42/0.97 'double_divide'( 'double_divide'( 'double_divide'( Y, Z ), inverse(
% 0.42/0.97 identity ) ), 'double_divide'( X, Z ) ) ) ) ] )
% 0.42/0.97 , clause( 9, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.42/0.97 'double_divide'( 'double_divide'( 'double_divide'( Y, Z ), inverse(
% 0.42/0.97 identity ) ), 'double_divide'( X, Z ) ) ), Y ) ] )
% 0.42/0.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/0.97
% 0.42/0.97
% 0.42/0.97 paramod(
% 0.42/0.97 clause( 74, [ =( X, 'double_divide'( 'double_divide'( identity, Y ),
% 0.42/0.97 'double_divide'( 'double_divide'( identity, inverse( identity ) ),
% 0.42/0.97 'double_divide'( Y, inverse( X ) ) ) ) ) ] )
% 0.42/0.97 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.42/0.97 , 0, clause( 71, [ =( Y, 'double_divide'( 'double_divide'( identity, X ),
% 0.42/0.97 'double_divide'( 'double_divide'( 'double_divide'( Y, Z ), inverse(
% 0.42/0.97 identity ) ), 'double_divide'( X, Z ) ) ) ) ] )
% 0.42/0.97 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 0.42/0.97 :=( Y, X ), :=( Z, inverse( X ) )] )).
% 0.42/0.97
% 0.42/0.97
% 0.42/0.97 paramod(
% 0.42/0.97 clause( 77, [ =( X, 'double_divide'( 'double_divide'( identity, Y ),
% 0.42/0.97 'double_divide'( identity, 'double_divide'( Y, inverse( X ) ) ) ) ) ] )
% 0.42/0.97 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.42/0.97 , 0, clause( 74, [ =( X, 'double_divide'( 'double_divide'( identity, Y ),
% 0.42/0.97 'double_divide'( 'double_divide'( identity, inverse( identity ) ),
% 0.42/0.97 'double_divide'( Y, inverse( X ) ) ) ) ) ] )
% 0.42/0.97 , 0, 7, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.42/0.97 X ), :=( Y, Y )] )).
% 0.42/0.97
% 0.42/0.97
% 0.42/0.97 eqswap(
% 0.42/0.97 clause( 78, [ =( 'double_divide'( 'double_divide'( identity, Y ),
% 0.42/0.97 'double_divide'( identity, 'double_divide'( Y, inverse( X ) ) ) ), X ) ]
% 0.42/0.97 )
% 0.42/0.97 , clause( 77, [ =( X, 'double_divide'( 'double_divide'( identity, Y ),
% 0.42/0.97 'double_divide'( identity, 'double_divide'( Y, inverse( X ) ) ) ) ) ] )
% 0.42/0.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/0.97
% 0.42/0.97
% 0.42/0.97 subsumption(
% 0.42/0.97 clause( 14, [ =( 'double_divide'( 'double_divide'( identity, Y ),
% 0.42/0.97 'double_divide'( identity, 'double_divide'( Y, inverse( X ) ) ) ), X ) ]
% 0.42/0.97 )
% 0.42/0.97 , clause( 78, [ =( 'double_divide'( 'double_divide'( identity, Y ),
% 0.42/0.97 'double_divide'( identity, 'double_divide'( Y, inverse( X ) ) ) ), X ) ]
% 0.42/0.97 )
% 0.42/0.97 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/0.97 )] ) ).
% 0.42/0.97
% 0.42/0.97
% 0.42/0.97 eqswap(
% 0.42/0.97 clause( 80, [ =( Y, 'double_divide'( 'double_divide'( identity, X ),
% 0.42/0.97 'double_divide'( identity, 'double_divide'( X, inverse( Y ) ) ) ) ) ] )
% 0.42/0.97 , clause( 14, [ =( 'double_divide'( 'double_divide'( identity, Y ),
% 0.42/0.97 'double_divide'( identity, 'double_divide'( Y, inverse( X ) ) ) ), X ) ]
% 0.42/0.97 )
% 0.42/0.97 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.42/0.97
% 0.42/0.97
% 0.42/0.97 paramod(
% 0.42/0.97 clause( 83, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 0.42/0.97 'double_divide'( identity, identity ) ) ) ] )
% 0.42/0.97 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.42/0.97 , 0, clause( 80, [ =( Y, 'double_divide'( 'double_divide'( identity, X ),
% 0.42/0.97 'double_divide'( identity, 'double_divide'( X, inverse( Y ) ) ) ) ) ] )
% 0.42/0.97 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.42/0.97 :=( Y, X )] )).
% 0.42/0.97
% 0.42/0.97
% 0.42/0.97 paramod(
% 0.42/0.97 clause( 84, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 0.42/0.97 inverse( identity ) ) ) ] )
% 0.42/0.97 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.42/0.97 , 0, clause( 83, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 0.42/0.97 'double_divide'( identity, identity ) ) ) ] )
% 0.42/0.97 , 0, 6, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.42/0.97 X )] )).
% 0.42/0.97
% 0.42/0.97
% 0.42/0.97 eqswap(
% 0.42/0.97 clause( 85, [ =( 'double_divide'( 'double_divide'( identity, X ), inverse(
% 0.42/0.97 identity ) ), X ) ] )
% 0.42/0.97 , clause( 84, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 0.42/0.97 inverse( identity ) ) ) ] )
% 0.42/0.97 , 0, substitution( 0, [ :=( X, X )] )).
% 0.42/0.97
% 0.42/0.97
% 0.42/0.97 subsumption(
% 0.42/0.97 clause( 22, [ =( 'double_divide'( 'double_divide'( identity, X ), inverse(
% 0.42/0.97 identity ) ), X ) ] )
% 0.42/0.97 , clause( 85, [ =( 'double_divide'( 'double_divide'( identity, X ), inverse(
% 0.42/0.97 identity ) ), X ) ] )
% 0.42/0.97 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/0.97
% 0.42/0.97
% 0.42/0.97 eqswap(
% 0.42/0.97 clause( 87, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 0.42/0.97 inverse( identity ) ) ) ] )
% 0.42/0.97 , clause( 22, [ =( 'double_divide'( 'double_divide'( identity, X ), inverse(
% 0.42/0.97 identity ) ), X ) ] )
% 0.42/0.97 , 0, substitution( 0, [ :=( X, X )] )).
% 0.42/0.97
% 0.42/0.97
% 0.42/0.97 paramod(
% 0.42/0.97 clause( 89, [ =( inverse( identity ), 'double_divide'( identity, inverse(
% 0.42/0.97 identity ) ) ) ] )
% 0.42/0.97 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.42/0.97 , 0, clause( 87, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 0.42/0.97 inverse( identity ) ) ) ] )
% 0.42/0.97 , 0, 4, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.42/0.97 inverse( identity ) )] )).
% 0.42/0.97
% 0.42/0.97
% 0.42/0.97 paramod(
% 0.42/0.97 clause( 91, [ =( inverse( identity ), identity ) ] )
% 0.42/0.97 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.42/0.97 , 0, clause( 89, [ =( inverse( identity ), 'double_divide'( identity,
% 0.42/0.97 inverse( identity ) ) ) ] )
% 0.42/0.97 , 0, 3, substitution( 0, [ :=( X, identity )] ), substitution( 1, [] )).
% 0.42/0.97
% 0.42/0.97
% 0.42/0.97 subsumption(
% 0.42/0.97 clause( 29, [ =( inverse( identity ), identity ) ] )
% 0.42/0.97 , clause( 91, [ =( inverse( identity ), identity ) ] )
% 0.42/0.97 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/0.97
% 0.42/0.97
% 0.42/0.97 resolution(
% 0.42/0.97 clause( 95, [] )
% 0.42/0.97 , clause( 11, [ ~( =( inverse( identity ), identity ) ) ] )
% 0.42/0.97 , 0, clause( 29, [ =( inverse( identity ), identity ) ] )
% 0.42/0.97 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/0.97
% 0.42/0.97
% 0.42/0.97 subsumption(
% 0.42/0.97 clause( 30, [] )
% 0.42/0.97 , clause( 95, [] )
% 0.42/0.97 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.42/0.97
% 0.42/0.97
% 0.42/0.97 end.
% 0.42/0.97
% 0.42/0.97 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/0.97
% 0.42/0.97 Memory use:
% 0.42/0.97
% 0.42/0.97 space for terms: 436
% 0.42/0.97 space for clauses: 3741
% 0.42/0.97
% 0.42/0.97
% 0.42/0.97 clauses generated: 81
% 0.42/0.97 clauses kept: 31
% 0.42/0.97 clauses selected: 12
% 0.42/0.97 clauses deleted: 3
% 0.42/0.97 clauses inuse deleted: 0
% 0.42/0.97
% 0.42/0.97 subsentry: 179
% 0.42/0.97 literals s-matched: 72
% 0.42/0.97 literals matched: 72
% 0.42/0.97 full subsumption: 0
% 0.42/0.97
% 0.42/0.97 checksum: 1009308480
% 0.42/0.97
% 0.42/0.97
% 0.42/0.97 Bliksem ended
%------------------------------------------------------------------------------