%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP004-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 07:34:15 EDT 2022
% Result : Unsatisfiable 0.73s 1.11s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP004-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n005.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 06:38:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.73/1.11 *** allocated 10000 integers for termspace/termends
% 0.73/1.11 *** allocated 10000 integers for clauses
% 0.73/1.11 *** allocated 10000 integers for justifications
% 0.73/1.11 Bliksem 1.12
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 Automatic Strategy Selection
% 0.73/1.11
% 0.73/1.11 Clauses:
% 0.73/1.11 [
% 0.73/1.11 [ product( identity, X, X ) ],
% 0.73/1.11 [ product( inverse( X ), X, identity ) ],
% 0.73/1.11 [ product( X, Y, multiply( X, Y ) ) ],
% 0.73/1.11 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish( Z, T ) ]
% 0.73/1.11 ,
% 0.73/1.11 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( Z, T, W
% 0.73/1.11 ) ), product( X, U, W ) ],
% 0.73/1.11 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( X, U, W
% 0.73/1.11 ) ), product( Z, T, W ) ],
% 0.73/1.11 [ ~( equalish( X, Y ) ), ~( product( Z, T, X ) ), product( Z, T, Y ) ]
% 0.73/1.11 ,
% 0.73/1.11 [ ~( product( a, inverse( a ), identity ) ) ]
% 0.73/1.11 ] .
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 percentage equality = 0.000000, percentage horn = 1.000000
% 0.73/1.11 This is a near-Horn, non-equality problem
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 Options Used:
% 0.73/1.11
% 0.73/1.11 useres = 1
% 0.73/1.11 useparamod = 0
% 0.73/1.11 useeqrefl = 0
% 0.73/1.11 useeqfact = 0
% 0.73/1.11 usefactor = 1
% 0.73/1.11 usesimpsplitting = 0
% 0.73/1.11 usesimpdemod = 0
% 0.73/1.11 usesimpres = 4
% 0.73/1.11
% 0.73/1.11 resimpinuse = 1000
% 0.73/1.11 resimpclauses = 20000
% 0.73/1.11 substype = standard
% 0.73/1.11 backwardsubs = 1
% 0.73/1.11 selectoldest = 5
% 0.73/1.11
% 0.73/1.11 litorderings [0] = split
% 0.73/1.11 litorderings [1] = liftord
% 0.73/1.11
% 0.73/1.11 termordering = none
% 0.73/1.11
% 0.73/1.11 litapriori = 1
% 0.73/1.11 termapriori = 0
% 0.73/1.11 litaposteriori = 0
% 0.73/1.11 termaposteriori = 0
% 0.73/1.11 demodaposteriori = 0
% 0.73/1.11 ordereqreflfact = 0
% 0.73/1.11
% 0.73/1.11 litselect = negative
% 0.73/1.11
% 0.73/1.11 maxweight = 30000
% 0.73/1.11 maxdepth = 30000
% 0.73/1.11 maxlength = 115
% 0.73/1.11 maxnrvars = 195
% 0.73/1.11 excuselevel = 0
% 0.73/1.11 increasemaxweight = 0
% 0.73/1.11
% 0.73/1.11 maxselected = 10000000
% 0.73/1.11 maxnrclauses = 10000000
% 0.73/1.11
% 0.73/1.11 showgenerated = 0
% 0.73/1.11 showkept = 0
% 0.73/1.11 showselected = 0
% 0.73/1.11 showdeleted = 0
% 0.73/1.11 showresimp = 1
% 0.73/1.11 showstatus = 2000
% 0.73/1.11
% 0.73/1.11 prologoutput = 1
% 0.73/1.11 nrgoals = 5000000
% 0.73/1.11 totalproof = 1
% 0.73/1.11
% 0.73/1.11 Symbols occurring in the translation:
% 0.73/1.11
% 0.73/1.11 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.11 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 0.73/1.11 ! [4, 1] (w:1, o:17, a:1, s:1, b:0),
% 0.73/1.11 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.11 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.11 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.73/1.11 product [41, 3] (w:1, o:50, a:1, s:1, b:0),
% 0.73/1.11 inverse [42, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.73/1.11 multiply [44, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.73/1.11 equalish [47, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.73/1.11 a [50, 0] (w:1, o:16, a:1, s:1, b:0).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 Starting Search:
% 0.73/1.11
% 0.73/1.11 Resimplifying inuse:
% 0.73/1.11 Done
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 Bliksems!, er is een bewijs:
% 0.73/1.11 % SZS status Unsatisfiable
% 0.73/1.11 % SZS output start Refutation
% 0.73/1.11
% 0.73/1.11 clause( 0, [ product( identity, X, X ) ] )
% 0.73/1.11 .
% 0.73/1.11 clause( 1, [ product( inverse( X ), X, identity ) ] )
% 0.73/1.11 .
% 0.73/1.11 clause( 2, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.73/1.11 .
% 0.73/1.11 clause( 3, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y, T
% 0.73/1.11 ) ) ] )
% 0.73/1.11 .
% 0.73/1.11 clause( 4, [ ~( product( Y, T, U ) ), ~( product( X, Y, Z ) ), product( X,
% 0.73/1.11 U, W ), ~( product( Z, T, W ) ) ] )
% 0.73/1.11 .
% 0.73/1.11 clause( 6, [ ~( equalish( X, Y ) ), product( Z, T, Y ), ~( product( Z, T, X
% 0.73/1.11 ) ) ] )
% 0.73/1.11 .
% 0.73/1.11 clause( 7, [ ~( product( a, inverse( a ), identity ) ) ] )
% 0.73/1.11 .
% 0.73/1.11 clause( 19, [ equalish( X, identity ), ~( product( inverse( Y ), Y, X ) ) ]
% 0.73/1.11 )
% 0.73/1.11 .
% 0.73/1.11 clause( 24, [ ~( product( X, Y, Z ) ), product( T, Z, Y ), ~( product( T, X
% 0.73/1.11 , identity ) ) ] )
% 0.73/1.11 .
% 0.73/1.11 clause( 42, [ product( X, Y, Z ), ~( equalish( multiply( X, Y ), Z ) ) ] )
% 0.73/1.11 .
% 0.73/1.11 clause( 271, [ product( inverse( X ), Z, Y ), ~( product( X, Y, Z ) ) ] )
% 0.73/1.11 .
% 0.73/1.11 clause( 437, [ product( inverse( X ), multiply( X, Y ), Y ) ] )
% 0.73/1.11 .
% 0.73/1.11 clause( 654, [ product( inverse( inverse( X ) ), Y, multiply( X, Y ) ) ] )
% 0.73/1.11 .
% 0.73/1.11 clause( 1757, [ equalish( multiply( X, inverse( X ) ), identity ) ] )
% 0.73/1.11 .
% 0.73/1.11 clause( 1762, [ product( X, inverse( X ), identity ) ] )
% 0.73/1.11 .
% 0.73/1.11 clause( 1777, [] )
% 0.73/1.11 .
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 % SZS output end Refutation
% 0.73/1.11 found a proof!
% 0.73/1.11
% 0.73/1.11 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.11
% 0.73/1.11 initialclauses(
% 0.73/1.11 [ clause( 1779, [ product( identity, X, X ) ] )
% 0.73/1.11 , clause( 1780, [ product( inverse( X ), X, identity ) ] )
% 0.73/1.11 , clause( 1781, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.73/1.11 , clause( 1782, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ),
% 0.73/1.11 equalish( Z, T ) ] )
% 0.73/1.11 , clause( 1783, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.73/1.11 product( Z, T, W ) ), product( X, U, W ) ] )
% 0.73/1.11 , clause( 1784, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.73/1.11 product( X, U, W ) ), product( Z, T, W ) ] )
% 0.73/1.11 , clause( 1785, [ ~( equalish( X, Y ) ), ~( product( Z, T, X ) ), product(
% 0.73/1.11 Z, T, Y ) ] )
% 0.73/1.11 , clause( 1786, [ ~( product( a, inverse( a ), identity ) ) ] )
% 0.73/1.11 ] ).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 subsumption(
% 0.73/1.11 clause( 0, [ product( identity, X, X ) ] )
% 0.73/1.11 , clause( 1779, [ product( identity, X, X ) ] )
% 0.73/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 subsumption(
% 0.73/1.11 clause( 1, [ product( inverse( X ), X, identity ) ] )
% 0.73/1.11 , clause( 1780, [ product( inverse( X ), X, identity ) ] )
% 0.73/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 subsumption(
% 0.73/1.11 clause( 2, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.73/1.11 , clause( 1781, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.73/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.11 )] ) ).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 subsumption(
% 0.73/1.11 clause( 3, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y, T
% 0.73/1.11 ) ) ] )
% 0.73/1.11 , clause( 1782, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ),
% 0.73/1.11 equalish( Z, T ) ] )
% 0.73/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.11 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 subsumption(
% 0.73/1.11 clause( 4, [ ~( product( Y, T, U ) ), ~( product( X, Y, Z ) ), product( X,
% 0.73/1.11 U, W ), ~( product( Z, T, W ) ) ] )
% 0.73/1.11 , clause( 1783, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.73/1.11 product( Z, T, W ) ), product( X, U, W ) ] )
% 0.73/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.73/1.11 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.73/1.11 , 3 ), ==>( 3, 2 )] ) ).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 subsumption(
% 0.73/1.11 clause( 6, [ ~( equalish( X, Y ) ), product( Z, T, Y ), ~( product( Z, T, X
% 0.73/1.11 ) ) ] )
% 0.73/1.11 , clause( 1785, [ ~( equalish( X, Y ) ), ~( product( Z, T, X ) ), product(
% 0.73/1.11 Z, T, Y ) ] )
% 0.73/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.11 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 subsumption(
% 0.73/1.11 clause( 7, [ ~( product( a, inverse( a ), identity ) ) ] )
% 0.73/1.11 , clause( 1786, [ ~( product( a, inverse( a ), identity ) ) ] )
% 0.73/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 resolution(
% 0.73/1.11 clause( 1812, [ equalish( X, identity ), ~( product( inverse( Y ), Y, X ) )
% 0.73/1.11 ] )
% 0.73/1.11 , clause( 3, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y
% 0.73/1.11 , T ) ) ] )
% 0.73/1.11 , 2, clause( 1, [ product( inverse( X ), X, identity ) ] )
% 0.73/1.11 , 0, substitution( 0, [ :=( X, inverse( Y ) ), :=( Y, Y ), :=( Z, X ), :=(
% 0.73/1.11 T, identity )] ), substitution( 1, [ :=( X, Y )] )).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 subsumption(
% 0.73/1.11 clause( 19, [ equalish( X, identity ), ~( product( inverse( Y ), Y, X ) ) ]
% 0.73/1.11 )
% 0.73/1.11 , clause( 1812, [ equalish( X, identity ), ~( product( inverse( Y ), Y, X )
% 0.73/1.11 ) ] )
% 0.73/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.11 ), ==>( 1, 1 )] ) ).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 resolution(
% 0.73/1.11 clause( 1815, [ ~( product( X, Y, Z ) ), ~( product( T, X, identity ) ),
% 0.73/1.11 product( T, Z, Y ) ] )
% 0.73/1.11 , clause( 4, [ ~( product( Y, T, U ) ), ~( product( X, Y, Z ) ), product( X
% 0.73/1.11 , U, W ), ~( product( Z, T, W ) ) ] )
% 0.73/1.11 , 3, clause( 0, [ product( identity, X, X ) ] )
% 0.73/1.11 , 0, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, identity ), :=( T, Y
% 0.73/1.11 ), :=( U, Z ), :=( W, Y )] ), substitution( 1, [ :=( X, Y )] )).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 subsumption(
% 0.73/1.11 clause( 24, [ ~( product( X, Y, Z ) ), product( T, Z, Y ), ~( product( T, X
% 0.73/1.11 , identity ) ) ] )
% 0.73/1.11 , clause( 1815, [ ~( product( X, Y, Z ) ), ~( product( T, X, identity ) ),
% 0.73/1.11 product( T, Z, Y ) ] )
% 0.73/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.11 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 resolution(
% 0.73/1.11 clause( 1819, [ ~( equalish( multiply( X, Y ), Z ) ), product( X, Y, Z ) ]
% 0.73/1.11 )
% 0.73/1.11 , clause( 6, [ ~( equalish( X, Y ) ), product( Z, T, Y ), ~( product( Z, T
% 0.73/1.11 , X ) ) ] )
% 0.73/1.11 , 2, clause( 2, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.73/1.11 , 0, substitution( 0, [ :=( X, multiply( X, Y ) ), :=( Y, Z ), :=( Z, X ),
% 0.73/1.11 :=( T, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 subsumption(
% 0.73/1.11 clause( 42, [ product( X, Y, Z ), ~( equalish( multiply( X, Y ), Z ) ) ] )
% 0.73/1.11 , clause( 1819, [ ~( equalish( multiply( X, Y ), Z ) ), product( X, Y, Z )
% 0.73/1.11 ] )
% 0.73/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.11 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 resolution(
% 0.73/1.11 clause( 1821, [ ~( product( X, Y, Z ) ), product( inverse( X ), Z, Y ) ] )
% 0.73/1.11 , clause( 24, [ ~( product( X, Y, Z ) ), product( T, Z, Y ), ~( product( T
% 0.73/1.11 , X, identity ) ) ] )
% 0.73/1.11 , 2, clause( 1, [ product( inverse( X ), X, identity ) ] )
% 0.73/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, inverse(
% 0.73/1.11 X ) )] ), substitution( 1, [ :=( X, X )] )).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 subsumption(
% 0.73/1.11 clause( 271, [ product( inverse( X ), Z, Y ), ~( product( X, Y, Z ) ) ] )
% 0.73/1.11 , clause( 1821, [ ~( product( X, Y, Z ) ), product( inverse( X ), Z, Y ) ]
% 0.73/1.11 )
% 0.73/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.11 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 resolution(
% 0.73/1.11 clause( 1822, [ product( inverse( X ), multiply( X, Y ), Y ) ] )
% 0.73/1.11 , clause( 271, [ product( inverse( X ), Z, Y ), ~( product( X, Y, Z ) ) ]
% 0.73/1.11 )
% 0.73/1.11 , 1, clause( 2, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.73/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, multiply( X, Y ) )] )
% 0.73/1.11 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 subsumption(
% 0.73/1.11 clause( 437, [ product( inverse( X ), multiply( X, Y ), Y ) ] )
% 0.73/1.11 , clause( 1822, [ product( inverse( X ), multiply( X, Y ), Y ) ] )
% 0.73/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.11 )] ) ).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 resolution(
% 0.73/1.11 clause( 1823, [ product( inverse( inverse( X ) ), Y, multiply( X, Y ) ) ]
% 0.73/1.11 )
% 0.73/1.11 , clause( 271, [ product( inverse( X ), Z, Y ), ~( product( X, Y, Z ) ) ]
% 0.73/1.11 )
% 0.73/1.11 , 1, clause( 437, [ product( inverse( X ), multiply( X, Y ), Y ) ] )
% 0.73/1.11 , 0, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, multiply( X, Y ) ),
% 0.73/1.11 :=( Z, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 subsumption(
% 0.73/1.11 clause( 654, [ product( inverse( inverse( X ) ), Y, multiply( X, Y ) ) ] )
% 0.73/1.11 , clause( 1823, [ product( inverse( inverse( X ) ), Y, multiply( X, Y ) ) ]
% 0.73/1.11 )
% 0.73/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.11 )] ) ).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 resolution(
% 0.73/1.11 clause( 1824, [ equalish( multiply( X, inverse( X ) ), identity ) ] )
% 0.73/1.11 , clause( 19, [ equalish( X, identity ), ~( product( inverse( Y ), Y, X ) )
% 0.73/1.11 ] )
% 0.73/1.11 , 1, clause( 654, [ product( inverse( inverse( X ) ), Y, multiply( X, Y ) )
% 0.73/1.11 ] )
% 0.73/1.11 , 0, substitution( 0, [ :=( X, multiply( X, inverse( X ) ) ), :=( Y,
% 0.73/1.11 inverse( X ) )] ), substitution( 1, [ :=( X, X ), :=( Y, inverse( X ) )] )
% 0.73/1.11 ).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 subsumption(
% 0.73/1.11 clause( 1757, [ equalish( multiply( X, inverse( X ) ), identity ) ] )
% 0.73/1.11 , clause( 1824, [ equalish( multiply( X, inverse( X ) ), identity ) ] )
% 0.73/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 resolution(
% 0.73/1.11 clause( 1825, [ product( X, inverse( X ), identity ) ] )
% 0.73/1.11 , clause( 42, [ product( X, Y, Z ), ~( equalish( multiply( X, Y ), Z ) ) ]
% 0.73/1.11 )
% 0.73/1.11 , 1, clause( 1757, [ equalish( multiply( X, inverse( X ) ), identity ) ] )
% 0.73/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, inverse( X ) ), :=( Z, identity
% 0.73/1.11 )] ), substitution( 1, [ :=( X, X )] )).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 subsumption(
% 0.73/1.11 clause( 1762, [ product( X, inverse( X ), identity ) ] )
% 0.73/1.11 , clause( 1825, [ product( X, inverse( X ), identity ) ] )
% 0.73/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 resolution(
% 0.73/1.11 clause( 1826, [] )
% 0.73/1.11 , clause( 7, [ ~( product( a, inverse( a ), identity ) ) ] )
% 0.73/1.11 , 0, clause( 1762, [ product( X, inverse( X ), identity ) ] )
% 0.73/1.11 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a )] )).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 subsumption(
% 0.73/1.11 clause( 1777, [] )
% 0.73/1.11 , clause( 1826, [] )
% 0.73/1.11 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 end.
% 0.73/1.11
% 0.73/1.11 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.11
% 0.73/1.11 Memory use:
% 0.73/1.11
% 0.73/1.11 space for terms: 22732
% 0.73/1.11 space for clauses: 97606
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 clauses generated: 2767
% 0.73/1.11 clauses kept: 1778
% 0.73/1.11 clauses selected: 211
% 0.73/1.11 clauses deleted: 28
% 0.73/1.11 clauses inuse deleted: 12
% 0.73/1.11
% 0.73/1.11 subsentry: 11596
% 0.73/1.11 literals s-matched: 4023
% 0.73/1.11 literals matched: 3320
% 0.73/1.11 full subsumption: 481
% 0.73/1.11
% 0.73/1.11 checksum: 913651165
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 Bliksem ended
%------------------------------------------------------------------------------