TSTP Solution File: GRP123-3.003 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP123-3.003 : TPTP v8.1.0. Released v1.2.0.
% 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 07:35:00 EDT 2022
% Result : Unsatisfiable 0.70s 1.09s
% Output : Refutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP123-3.003 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Mon Jun 13 16:04:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.70/1.09 *** allocated 10000 integers for termspace/termends
% 0.70/1.09 *** allocated 10000 integers for clauses
% 0.70/1.09 *** allocated 10000 integers for justifications
% 0.70/1.09 Bliksem 1.12
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Automatic Strategy Selection
% 0.70/1.09
% 0.70/1.09 Clauses:
% 0.70/1.09 [
% 0.70/1.09 [ next( 'e_0', 'e_1' ) ],
% 0.70/1.09 [ next( 'e_1', 'e_2' ) ],
% 0.70/1.09 [ next( 'e_2', 'e_3' ) ],
% 0.70/1.09 [ greater( 'e_1', 'e_0' ) ],
% 0.70/1.09 [ greater( 'e_2', 'e_0' ) ],
% 0.70/1.09 [ greater( 'e_3', 'e_0' ) ],
% 0.70/1.09 [ greater( 'e_2', 'e_1' ) ],
% 0.70/1.09 [ greater( 'e_3', 'e_1' ) ],
% 0.70/1.09 [ greater( 'e_3', 'e_2' ) ],
% 0.70/1.09 [ ~( cycle( X, Y ) ), ~( cycle( X, Z ) ), equalish( Y, Z ) ],
% 0.70/1.09 [ ~( 'group_element'( X ) ), cycle( X, 'e_0' ), cycle( X, 'e_1' ), cycle(
% 0.70/1.09 X, 'e_2' ) ],
% 0.70/1.09 [ cycle( 'e_3', 'e_0' ) ],
% 0.70/1.09 [ ~( cycle( X, Y ) ), ~( cycle( Z, T ) ), ~( next( X, Z ) ), ~( greater(
% 0.70/1.09 Y, 'e_0' ) ), ~( next( T, U ) ), equalish( Y, U ) ],
% 0.70/1.09 [ ~( cycle( X, Y ) ), ~( cycle( Z, 'e_0' ) ), ~( cycle( T, U ) ), ~(
% 0.70/1.09 next( Z, T ) ), ~( greater( Z, X ) ), ~( greater( Y, U ) ) ],
% 0.70/1.09 [ ~( cycle( X, 'e_0' ) ), ~( product( X, 'e_1', Y ) ), ~( greater( Y, X
% 0.70/1.09 ) ) ],
% 0.70/1.09 [ ~( cycle( X, Y ) ), ~( product( X, 'e_1', Z ) ), ~( greater( Y, 'e_0'
% 0.70/1.09 ) ), ~( next( X, T ) ), equalish( Z, T ) ],
% 0.70/1.09 [ 'group_element'( 'e_1' ) ],
% 0.70/1.09 [ 'group_element'( 'e_2' ) ],
% 0.70/1.09 [ 'group_element'( 'e_3' ) ],
% 0.70/1.09 [ ~( equalish( 'e_1', 'e_2' ) ) ],
% 0.70/1.09 [ ~( equalish( 'e_1', 'e_3' ) ) ],
% 0.70/1.09 [ ~( equalish( 'e_2', 'e_1' ) ) ],
% 0.70/1.09 [ ~( equalish( 'e_2', 'e_3' ) ) ],
% 0.70/1.09 [ ~( equalish( 'e_3', 'e_1' ) ) ],
% 0.70/1.09 [ ~( equalish( 'e_3', 'e_2' ) ) ],
% 0.70/1.09 [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ), product( X, Y,
% 0.70/1.09 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ) ],
% 0.70/1.09 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish( Z, T ) ]
% 0.70/1.09 ,
% 0.70/1.09 [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish( Y, T ) ]
% 0.70/1.09 ,
% 0.70/1.09 [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish( X, T ) ]
% 0.70/1.09 ,
% 0.70/1.09 [ product( X, X, X ) ],
% 0.70/1.09 [ ~( product( X, Y, Z ) ), ~( product( T, U, Z ) ), ~( product( W, Y, X
% 0.70/1.09 ) ), ~( product( W, U, T ) ), equalish( X, T ) ],
% 0.70/1.09 [ ~( product( X, Y, Z ) ), ~( product( T, U, Z ) ), ~( product( W, Y, X
% 0.70/1.09 ) ), ~( product( W, U, T ) ), equalish( Y, U ) ]
% 0.70/1.09 ] .
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 percentage equality = 0.000000, percentage horn = 0.937500
% 0.70/1.09 This is a near-Horn, non-equality problem
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Options Used:
% 0.70/1.09
% 0.70/1.09 useres = 1
% 0.70/1.09 useparamod = 0
% 0.70/1.09 useeqrefl = 0
% 0.70/1.09 useeqfact = 0
% 0.70/1.09 usefactor = 1
% 0.70/1.09 usesimpsplitting = 0
% 0.70/1.09 usesimpdemod = 0
% 0.70/1.09 usesimpres = 4
% 0.70/1.09
% 0.70/1.09 resimpinuse = 1000
% 0.70/1.09 resimpclauses = 20000
% 0.70/1.09 substype = standard
% 0.70/1.09 backwardsubs = 1
% 0.70/1.09 selectoldest = 5
% 0.70/1.09
% 0.70/1.09 litorderings [0] = split
% 0.70/1.09 litorderings [1] = liftord
% 0.70/1.09
% 0.70/1.09 termordering = none
% 0.70/1.09
% 0.70/1.09 litapriori = 1
% 0.70/1.09 termapriori = 0
% 0.70/1.09 litaposteriori = 0
% 0.70/1.09 termaposteriori = 0
% 0.70/1.09 demodaposteriori = 0
% 0.70/1.09 ordereqreflfact = 0
% 0.70/1.09
% 0.70/1.09 litselect = negative
% 0.70/1.09
% 0.70/1.09 maxweight = 30000
% 0.70/1.09 maxdepth = 30000
% 0.70/1.09 maxlength = 115
% 0.70/1.09 maxnrvars = 195
% 0.70/1.09 excuselevel = 0
% 0.70/1.09 increasemaxweight = 0
% 0.70/1.09
% 0.70/1.09 maxselected = 10000000
% 0.70/1.09 maxnrclauses = 10000000
% 0.70/1.09
% 0.70/1.09 showgenerated = 0
% 0.70/1.09 showkept = 0
% 0.70/1.09 showselected = 0
% 0.70/1.09 showdeleted = 0
% 0.70/1.09 showresimp = 1
% 0.70/1.09 showstatus = 2000
% 0.70/1.09
% 0.70/1.09 prologoutput = 1
% 0.70/1.09 nrgoals = 5000000
% 0.70/1.09 totalproof = 1
% 0.70/1.09
% 0.70/1.09 Symbols occurring in the translation:
% 0.70/1.09
% 0.70/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.70/1.09 . [1, 2] (w:1, o:29, a:1, s:1, b:0),
% 0.70/1.09 ! [4, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.70/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.09 'e_0' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.70/1.09 'e_1' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.70/1.09 next [41, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.70/1.09 'e_2' [42, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.70/1.09 'e_3' [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.70/1.09 greater [44, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.70/1.09 cycle [47, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.70/1.09 equalish [49, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.70/1.09 'group_element' [50, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.70/1.09 product [54, 3] (w:1, o:58, a:1, s:1, b:0).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Starting Search:
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Bliksems!, er is een bewijs:
% 0.70/1.09 % SZS status Unsatisfiable
% 0.70/1.09 % SZS output start Refutation
% 0.70/1.09
% 0.70/1.09 clause( 16, [ 'group_element'( 'e_1' ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 17, [ 'group_element'( 'e_2' ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 18, [ 'group_element'( 'e_3' ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 19, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 20, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 22, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 23, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 24, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 25, [ ~( 'group_element'( X ) ), product( X, Y, 'e_3' ), product( X
% 0.70/1.09 , Y, 'e_1' ), product( X, Y, 'e_2' ), ~( 'group_element'( Y ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 27, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T,
% 0.70/1.09 Z ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 28, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y,
% 0.70/1.09 Z ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 29, [ product( X, X, X ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 30, [ equalish( X, T ), ~( product( W, Y, X ) ), ~( product( T, U,
% 0.70/1.09 Z ) ), ~( product( X, Y, Z ) ), ~( product( W, U, T ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 90, [ product( X, 'e_2', 'e_3' ), product( X, 'e_2', 'e_1' ),
% 0.70/1.09 product( X, 'e_2', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 92, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 94, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 114, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_2'
% 0.70/1.09 ), product( 'e_1', 'e_2', 'e_3' ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 115, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_2'
% 0.70/1.09 ), product( 'e_3', 'e_2', 'e_3' ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 124, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_2'
% 0.70/1.09 ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 133, [ product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 135, [ equalish( X, 'e_1' ), ~( product( 'e_1', 'e_2', Z ) ), ~(
% 0.70/1.09 product( 'e_3', Y, X ) ), ~( product( X, Y, Z ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 138, [ equalish( X, 'e_3' ), ~( product( X, 'e_2', 'e_1' ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 139, [ ~( product( 'e_3', X, 'e_3' ) ), ~( product( 'e_1', 'e_2',
% 0.70/1.09 'e_3' ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 140, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_2'
% 0.70/1.09 ), ~( product( 'e_3', X, 'e_3' ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 141, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_2'
% 0.70/1.09 ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 146, [ product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 147, [] )
% 0.70/1.09 .
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 % SZS output end Refutation
% 0.70/1.09 found a proof!
% 0.70/1.09
% 0.70/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.09
% 0.70/1.09 initialclauses(
% 0.70/1.09 [ clause( 149, [ next( 'e_0', 'e_1' ) ] )
% 0.70/1.09 , clause( 150, [ next( 'e_1', 'e_2' ) ] )
% 0.70/1.09 , clause( 151, [ next( 'e_2', 'e_3' ) ] )
% 0.70/1.09 , clause( 152, [ greater( 'e_1', 'e_0' ) ] )
% 0.70/1.09 , clause( 153, [ greater( 'e_2', 'e_0' ) ] )
% 0.70/1.09 , clause( 154, [ greater( 'e_3', 'e_0' ) ] )
% 0.70/1.09 , clause( 155, [ greater( 'e_2', 'e_1' ) ] )
% 0.70/1.09 , clause( 156, [ greater( 'e_3', 'e_1' ) ] )
% 0.70/1.09 , clause( 157, [ greater( 'e_3', 'e_2' ) ] )
% 0.70/1.09 , clause( 158, [ ~( cycle( X, Y ) ), ~( cycle( X, Z ) ), equalish( Y, Z ) ]
% 0.70/1.09 )
% 0.70/1.09 , clause( 159, [ ~( 'group_element'( X ) ), cycle( X, 'e_0' ), cycle( X,
% 0.70/1.09 'e_1' ), cycle( X, 'e_2' ) ] )
% 0.70/1.09 , clause( 160, [ cycle( 'e_3', 'e_0' ) ] )
% 0.70/1.09 , clause( 161, [ ~( cycle( X, Y ) ), ~( cycle( Z, T ) ), ~( next( X, Z ) )
% 0.70/1.09 , ~( greater( Y, 'e_0' ) ), ~( next( T, U ) ), equalish( Y, U ) ] )
% 0.70/1.09 , clause( 162, [ ~( cycle( X, Y ) ), ~( cycle( Z, 'e_0' ) ), ~( cycle( T, U
% 0.70/1.09 ) ), ~( next( Z, T ) ), ~( greater( Z, X ) ), ~( greater( Y, U ) ) ] )
% 0.70/1.09 , clause( 163, [ ~( cycle( X, 'e_0' ) ), ~( product( X, 'e_1', Y ) ), ~(
% 0.70/1.09 greater( Y, X ) ) ] )
% 0.70/1.09 , clause( 164, [ ~( cycle( X, Y ) ), ~( product( X, 'e_1', Z ) ), ~(
% 0.70/1.09 greater( Y, 'e_0' ) ), ~( next( X, T ) ), equalish( Z, T ) ] )
% 0.70/1.09 , clause( 165, [ 'group_element'( 'e_1' ) ] )
% 0.70/1.09 , clause( 166, [ 'group_element'( 'e_2' ) ] )
% 0.70/1.09 , clause( 167, [ 'group_element'( 'e_3' ) ] )
% 0.70/1.09 , clause( 168, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.70/1.09 , clause( 169, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.70/1.09 , clause( 170, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.70/1.09 , clause( 171, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.70/1.09 , clause( 172, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.70/1.09 , clause( 173, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.70/1.09 , clause( 174, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.70/1.09 product( X, Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ) ]
% 0.70/1.09 )
% 0.70/1.09 , clause( 175, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish(
% 0.70/1.09 Z, T ) ] )
% 0.70/1.09 , clause( 176, [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish(
% 0.70/1.09 Y, T ) ] )
% 0.70/1.09 , clause( 177, [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish(
% 0.70/1.09 X, T ) ] )
% 0.70/1.09 , clause( 178, [ product( X, X, X ) ] )
% 0.70/1.09 , clause( 179, [ ~( product( X, Y, Z ) ), ~( product( T, U, Z ) ), ~(
% 0.70/1.09 product( W, Y, X ) ), ~( product( W, U, T ) ), equalish( X, T ) ] )
% 0.70/1.09 , clause( 180, [ ~( product( X, Y, Z ) ), ~( product( T, U, Z ) ), ~(
% 0.70/1.09 product( W, Y, X ) ), ~( product( W, U, T ) ), equalish( Y, U ) ] )
% 0.70/1.09 ] ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 16, [ 'group_element'( 'e_1' ) ] )
% 0.70/1.09 , clause( 165, [ 'group_element'( 'e_1' ) ] )
% 0.70/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 17, [ 'group_element'( 'e_2' ) ] )
% 0.70/1.09 , clause( 166, [ 'group_element'( 'e_2' ) ] )
% 0.70/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 18, [ 'group_element'( 'e_3' ) ] )
% 0.70/1.09 , clause( 167, [ 'group_element'( 'e_3' ) ] )
% 0.70/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 19, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.70/1.09 , clause( 168, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.70/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 20, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.70/1.09 , clause( 169, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.70/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 22, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.70/1.09 , clause( 171, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.70/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 23, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.70/1.09 , clause( 172, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.70/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 24, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.70/1.09 , clause( 173, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.70/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 25, [ ~( 'group_element'( X ) ), product( X, Y, 'e_3' ), product( X
% 0.70/1.09 , Y, 'e_1' ), product( X, Y, 'e_2' ), ~( 'group_element'( Y ) ) ] )
% 0.70/1.09 , clause( 174, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.70/1.09 product( X, Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ) ]
% 0.70/1.09 )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.09 ), ==>( 1, 4 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 1 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 27, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T,
% 0.70/1.09 Z ) ) ] )
% 0.70/1.09 , clause( 176, [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish(
% 0.70/1.09 Y, T ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.70/1.09 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 28, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y,
% 0.70/1.09 Z ) ) ] )
% 0.70/1.09 , clause( 177, [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish(
% 0.70/1.09 X, T ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.70/1.09 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 29, [ product( X, X, X ) ] )
% 0.70/1.09 , clause( 178, [ product( X, X, X ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 30, [ equalish( X, T ), ~( product( W, Y, X ) ), ~( product( T, U,
% 0.70/1.09 Z ) ), ~( product( X, Y, Z ) ), ~( product( W, U, T ) ) ] )
% 0.70/1.09 , clause( 179, [ ~( product( X, Y, Z ) ), ~( product( T, U, Z ) ), ~(
% 0.70/1.09 product( W, Y, X ) ), ~( product( W, U, T ) ), equalish( X, T ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.70/1.09 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 2 ), ==>( 2
% 0.70/1.09 , 1 ), ==>( 3, 4 ), ==>( 4, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 resolution(
% 0.70/1.09 clause( 375, [ ~( 'group_element'( X ) ), product( X, 'e_2', 'e_3' ),
% 0.70/1.09 product( X, 'e_2', 'e_1' ), product( X, 'e_2', 'e_2' ) ] )
% 0.70/1.09 , clause( 25, [ ~( 'group_element'( X ) ), product( X, Y, 'e_3' ), product(
% 0.70/1.09 X, Y, 'e_1' ), product( X, Y, 'e_2' ), ~( 'group_element'( Y ) ) ] )
% 0.70/1.09 , 4, clause( 17, [ 'group_element'( 'e_2' ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_2' )] ), substitution( 1, [] )
% 0.70/1.09 ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 90, [ product( X, 'e_2', 'e_3' ), product( X, 'e_2', 'e_1' ),
% 0.70/1.09 product( X, 'e_2', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.70/1.10 , clause( 375, [ ~( 'group_element'( X ) ), product( X, 'e_2', 'e_3' ),
% 0.70/1.10 product( X, 'e_2', 'e_1' ), product( X, 'e_2', 'e_2' ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 0.70/1.10 0 ), ==>( 2, 1 ), ==>( 3, 2 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 resolution(
% 0.70/1.10 clause( 377, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.70/1.10 , clause( 28, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.70/1.10 , Z ) ) ] )
% 0.70/1.10 , 2, clause( 29, [ product( X, X, X ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, Y )] ),
% 0.70/1.10 substitution( 1, [ :=( X, Y )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 92, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.70/1.10 , clause( 377, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.10 ), ==>( 1, 1 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 resolution(
% 0.70/1.10 clause( 379, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.70/1.10 , clause( 27, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.70/1.10 , Z ) ) ] )
% 0.70/1.10 , 2, clause( 29, [ product( X, X, X ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Y ), :=( T, Y )] ),
% 0.70/1.10 substitution( 1, [ :=( X, Y )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 94, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.70/1.10 , clause( 379, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.10 ), ==>( 1, 1 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 resolution(
% 0.70/1.10 clause( 380, [ product( 'e_1', 'e_2', 'e_3' ), product( 'e_1', 'e_2', 'e_1'
% 0.70/1.10 ), product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.70/1.10 , clause( 90, [ product( X, 'e_2', 'e_3' ), product( X, 'e_2', 'e_1' ),
% 0.70/1.10 product( X, 'e_2', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.70/1.10 , 3, clause( 16, [ 'group_element'( 'e_1' ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 114, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_2'
% 0.70/1.10 ), product( 'e_1', 'e_2', 'e_3' ) ] )
% 0.70/1.10 , clause( 380, [ product( 'e_1', 'e_2', 'e_3' ), product( 'e_1', 'e_2',
% 0.70/1.10 'e_1' ), product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.70/1.10 , 1 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 resolution(
% 0.70/1.10 clause( 381, [ product( 'e_3', 'e_2', 'e_3' ), product( 'e_3', 'e_2', 'e_1'
% 0.70/1.10 ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.70/1.10 , clause( 90, [ product( X, 'e_2', 'e_3' ), product( X, 'e_2', 'e_1' ),
% 0.70/1.10 product( X, 'e_2', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.70/1.10 , 3, clause( 18, [ 'group_element'( 'e_3' ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 115, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_2'
% 0.70/1.10 ), product( 'e_3', 'e_2', 'e_3' ) ] )
% 0.70/1.10 , clause( 381, [ product( 'e_3', 'e_2', 'e_3' ), product( 'e_3', 'e_2',
% 0.70/1.10 'e_1' ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.70/1.10 , 1 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 resolution(
% 0.70/1.10 clause( 382, [ equalish( 'e_2', 'e_3' ), product( 'e_3', 'e_2', 'e_1' ),
% 0.70/1.10 product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.70/1.10 , clause( 94, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.70/1.10 , 1, clause( 115, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2',
% 0.70/1.10 'e_2' ), product( 'e_3', 'e_2', 'e_3' ) ] )
% 0.70/1.10 , 2, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_3' )] ), substitution( 1
% 0.70/1.10 , [] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 resolution(
% 0.70/1.10 clause( 383, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_2'
% 0.70/1.10 ) ] )
% 0.70/1.10 , clause( 22, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.70/1.10 , 0, clause( 382, [ equalish( 'e_2', 'e_3' ), product( 'e_3', 'e_2', 'e_1'
% 0.70/1.10 ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.70/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 124, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_2'
% 0.70/1.10 ) ] )
% 0.70/1.10 , clause( 383, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2',
% 0.70/1.10 'e_2' ) ] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.70/1.10 ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 resolution(
% 0.70/1.10 clause( 384, [ equalish( 'e_3', 'e_2' ), product( 'e_3', 'e_2', 'e_1' ) ]
% 0.70/1.10 )
% 0.70/1.10 , clause( 92, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.70/1.10 , 1, clause( 124, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2',
% 0.70/1.10 'e_2' ) ] )
% 0.70/1.10 , 1, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_2' )] ), substitution( 1
% 0.70/1.10 , [] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 resolution(
% 0.70/1.10 clause( 385, [ product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.70/1.10 , clause( 24, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.70/1.10 , 0, clause( 384, [ equalish( 'e_3', 'e_2' ), product( 'e_3', 'e_2', 'e_1'
% 0.70/1.10 ) ] )
% 0.70/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 133, [ product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.70/1.10 , clause( 385, [ product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 resolution(
% 0.70/1.10 clause( 389, [ equalish( X, 'e_1' ), ~( product( 'e_3', Y, X ) ), ~(
% 0.70/1.10 product( 'e_1', 'e_2', Z ) ), ~( product( X, Y, Z ) ) ] )
% 0.70/1.10 , clause( 30, [ equalish( X, T ), ~( product( W, Y, X ) ), ~( product( T, U
% 0.70/1.10 , Z ) ), ~( product( X, Y, Z ) ), ~( product( W, U, T ) ) ] )
% 0.70/1.10 , 4, clause( 133, [ product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, 'e_1' )
% 0.70/1.10 , :=( U, 'e_2' ), :=( W, 'e_3' )] ), substitution( 1, [] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 135, [ equalish( X, 'e_1' ), ~( product( 'e_1', 'e_2', Z ) ), ~(
% 0.70/1.10 product( 'e_3', Y, X ) ), ~( product( X, Y, Z ) ) ] )
% 0.70/1.10 , clause( 389, [ equalish( X, 'e_1' ), ~( product( 'e_3', Y, X ) ), ~(
% 0.70/1.10 product( 'e_1', 'e_2', Z ) ), ~( product( X, Y, Z ) ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.70/1.10 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 ), ==>( 3, 3 )] )
% 0.70/1.10 ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 resolution(
% 0.70/1.10 clause( 397, [ equalish( X, 'e_3' ), ~( product( X, 'e_2', 'e_1' ) ) ] )
% 0.70/1.10 , clause( 28, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.70/1.10 , Z ) ) ] )
% 0.70/1.10 , 2, clause( 133, [ product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_2' ), :=( Z, 'e_1' ), :=( T,
% 0.70/1.10 'e_3' )] ), substitution( 1, [] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 138, [ equalish( X, 'e_3' ), ~( product( X, 'e_2', 'e_1' ) ) ] )
% 0.70/1.10 , clause( 397, [ equalish( X, 'e_3' ), ~( product( X, 'e_2', 'e_1' ) ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.70/1.10 1 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 factor(
% 0.70/1.10 clause( 399, [ equalish( 'e_3', 'e_1' ), ~( product( 'e_1', 'e_2', 'e_3' )
% 0.70/1.10 ), ~( product( 'e_3', X, 'e_3' ) ) ] )
% 0.70/1.10 , clause( 135, [ equalish( X, 'e_1' ), ~( product( 'e_1', 'e_2', Z ) ), ~(
% 0.70/1.10 product( 'e_3', Y, X ) ), ~( product( X, Y, Z ) ) ] )
% 0.70/1.10 , 2, 3, substitution( 0, [ :=( X, 'e_3' ), :=( Y, X ), :=( Z, 'e_3' )] )
% 0.70/1.10 ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 resolution(
% 0.70/1.10 clause( 400, [ ~( product( 'e_1', 'e_2', 'e_3' ) ), ~( product( 'e_3', X,
% 0.70/1.10 'e_3' ) ) ] )
% 0.70/1.10 , clause( 23, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.70/1.10 , 0, clause( 399, [ equalish( 'e_3', 'e_1' ), ~( product( 'e_1', 'e_2',
% 0.70/1.10 'e_3' ) ), ~( product( 'e_3', X, 'e_3' ) ) ] )
% 0.70/1.10 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 139, [ ~( product( 'e_3', X, 'e_3' ) ), ~( product( 'e_1', 'e_2',
% 0.70/1.10 'e_3' ) ) ] )
% 0.70/1.10 , clause( 400, [ ~( product( 'e_1', 'e_2', 'e_3' ) ), ~( product( 'e_3', X
% 0.70/1.10 , 'e_3' ) ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.70/1.10 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 resolution(
% 0.70/1.10 clause( 401, [ ~( product( 'e_3', X, 'e_3' ) ), product( 'e_1', 'e_2',
% 0.70/1.10 'e_1' ), product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.70/1.10 , clause( 139, [ ~( product( 'e_3', X, 'e_3' ) ), ~( product( 'e_1', 'e_2'
% 0.70/1.10 , 'e_3' ) ) ] )
% 0.70/1.10 , 1, clause( 114, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2',
% 0.70/1.10 'e_2' ), product( 'e_1', 'e_2', 'e_3' ) ] )
% 0.70/1.10 , 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 140, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_2'
% 0.70/1.10 ), ~( product( 'e_3', X, 'e_3' ) ) ] )
% 0.70/1.10 , clause( 401, [ ~( product( 'e_3', X, 'e_3' ) ), product( 'e_1', 'e_2',
% 0.70/1.10 'e_1' ), product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.70/1.10 0 ), ==>( 2, 1 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 resolution(
% 0.70/1.10 clause( 402, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_2'
% 0.70/1.10 ) ] )
% 0.70/1.10 , clause( 140, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2',
% 0.70/1.10 'e_2' ), ~( product( 'e_3', X, 'e_3' ) ) ] )
% 0.70/1.10 , 2, clause( 29, [ product( X, X, X ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [ :=( X, 'e_3'
% 0.70/1.10 )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 141, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_2'
% 0.70/1.10 ) ] )
% 0.70/1.10 , clause( 402, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2',
% 0.70/1.10 'e_2' ) ] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.70/1.10 ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 resolution(
% 0.70/1.10 clause( 403, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_1' ) ]
% 0.70/1.10 )
% 0.70/1.10 , clause( 92, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.70/1.10 , 1, clause( 141, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2',
% 0.70/1.10 'e_2' ) ] )
% 0.70/1.10 , 1, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_2' )] ), substitution( 1
% 0.70/1.10 , [] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 resolution(
% 0.70/1.10 clause( 404, [ product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.70/1.10 , clause( 19, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.70/1.10 , 0, clause( 403, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_1'
% 0.70/1.10 ) ] )
% 0.70/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 146, [ product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.70/1.10 , clause( 404, [ product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 resolution(
% 0.70/1.10 clause( 405, [ equalish( 'e_1', 'e_3' ) ] )
% 0.70/1.10 , clause( 138, [ equalish( X, 'e_3' ), ~( product( X, 'e_2', 'e_1' ) ) ] )
% 0.70/1.10 , 1, clause( 146, [ product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 resolution(
% 0.70/1.10 clause( 406, [] )
% 0.70/1.10 , clause( 20, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.70/1.10 , 0, clause( 405, [ equalish( 'e_1', 'e_3' ) ] )
% 0.70/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 147, [] )
% 0.70/1.10 , clause( 406, [] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 end.
% 0.70/1.10
% 0.70/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.10
% 0.70/1.10 Memory use:
% 0.70/1.10
% 0.70/1.10 space for terms: 2704
% 0.70/1.10 space for clauses: 7000
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 clauses generated: 262
% 0.70/1.10 clauses kept: 148
% 0.70/1.10 clauses selected: 78
% 0.70/1.10 clauses deleted: 7
% 0.70/1.10 clauses inuse deleted: 0
% 0.70/1.10
% 0.70/1.10 subsentry: 1721
% 0.70/1.10 literals s-matched: 1043
% 0.70/1.10 literals matched: 749
% 0.70/1.10 full subsumption: 449
% 0.70/1.10
% 0.70/1.10 checksum: -1168005769
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Bliksem ended
%------------------------------------------------------------------------------