%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP135-2.002 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n016.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 07:35:31 EDT 2022
% Result : Unsatisfiable 0.42s 1.06s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : GRP135-2.002 : TPTP v8.1.0. Released v1.2.0.
% 0.02/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Tue Jun 14 12:47:46 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.42/1.06 *** allocated 10000 integers for termspace/termends
% 0.42/1.06 *** allocated 10000 integers for clauses
% 0.42/1.06 *** allocated 10000 integers for justifications
% 0.42/1.06 Bliksem 1.12
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Automatic Strategy Selection
% 0.42/1.06
% 0.42/1.06 Clauses:
% 0.42/1.06 [
% 0.42/1.06 [ next( 'e_1', 'e_2' ) ],
% 0.42/1.06 [ greater( 'e_2', 'e_1' ) ],
% 0.42/1.06 [ ~( product( X, 'e_1', Y ) ), ~( next( X, Z ) ), ~( greater( Y, Z ) ) ]
% 0.42/1.06 ,
% 0.42/1.06 [ 'group_element'( 'e_1' ) ],
% 0.42/1.06 [ 'group_element'( 'e_2' ) ],
% 0.42/1.06 [ ~( equalish( 'e_1', 'e_2' ) ) ],
% 0.42/1.06 [ ~( equalish( 'e_2', 'e_1' ) ) ],
% 0.42/1.06 [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ), product( X, Y,
% 0.42/1.06 'e_1' ), product( X, Y, 'e_2' ) ],
% 0.42/1.06 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish( Z, T ) ]
% 0.42/1.06 ,
% 0.42/1.06 [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish( Y, T ) ]
% 0.42/1.06 ,
% 0.42/1.06 [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish( X, T ) ]
% 0.42/1.06 ,
% 0.42/1.06 [ ~( product( X, Y, Z ) ), ~( product( Z, X, T ) ), product( T, X, Y ) ]
% 0.42/1.06
% 0.42/1.06 ] .
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 percentage equality = 0.000000, percentage horn = 0.916667
% 0.42/1.06 This is a near-Horn, non-equality problem
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Options Used:
% 0.42/1.06
% 0.42/1.06 useres = 1
% 0.42/1.06 useparamod = 0
% 0.42/1.06 useeqrefl = 0
% 0.42/1.06 useeqfact = 0
% 0.42/1.06 usefactor = 1
% 0.42/1.06 usesimpsplitting = 0
% 0.42/1.06 usesimpdemod = 0
% 0.42/1.06 usesimpres = 4
% 0.42/1.06
% 0.42/1.06 resimpinuse = 1000
% 0.42/1.06 resimpclauses = 20000
% 0.42/1.06 substype = standard
% 0.42/1.06 backwardsubs = 1
% 0.42/1.06 selectoldest = 5
% 0.42/1.06
% 0.42/1.06 litorderings [0] = split
% 0.42/1.06 litorderings [1] = liftord
% 0.42/1.06
% 0.42/1.06 termordering = none
% 0.42/1.06
% 0.42/1.06 litapriori = 1
% 0.42/1.06 termapriori = 0
% 0.42/1.06 litaposteriori = 0
% 0.42/1.06 termaposteriori = 0
% 0.42/1.06 demodaposteriori = 0
% 0.42/1.06 ordereqreflfact = 0
% 0.42/1.06
% 0.42/1.06 litselect = negative
% 0.42/1.06
% 0.42/1.06 maxweight = 30000
% 0.42/1.06 maxdepth = 30000
% 0.42/1.06 maxlength = 115
% 0.42/1.06 maxnrvars = 195
% 0.42/1.06 excuselevel = 0
% 0.42/1.06 increasemaxweight = 0
% 0.42/1.06
% 0.42/1.06 maxselected = 10000000
% 0.42/1.06 maxnrclauses = 10000000
% 0.42/1.06
% 0.42/1.06 showgenerated = 0
% 0.42/1.06 showkept = 0
% 0.42/1.06 showselected = 0
% 0.42/1.06 showdeleted = 0
% 0.42/1.06 showresimp = 1
% 0.42/1.06 showstatus = 2000
% 0.42/1.06
% 0.42/1.06 prologoutput = 1
% 0.42/1.06 nrgoals = 5000000
% 0.42/1.06 totalproof = 1
% 0.42/1.06
% 0.42/1.06 Symbols occurring in the translation:
% 0.42/1.06
% 0.42/1.06 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.42/1.06 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 0.42/1.06 ! [4, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.42/1.06 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.06 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.06 'e_1' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.42/1.06 'e_2' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.42/1.06 next [41, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.42/1.06 greater [42, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.42/1.06 product [45, 3] (w:1, o:52, a:1, s:1, b:0),
% 0.42/1.06 'group_element' [47, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.42/1.06 equalish [48, 2] (w:1, o:51, a:1, s:1, b:0).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Starting Search:
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Bliksems!, er is een bewijs:
% 0.42/1.06 % SZS status Unsatisfiable
% 0.42/1.06 % SZS output start Refutation
% 0.42/1.06
% 0.42/1.06 clause( 3, [ 'group_element'( 'e_1' ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 4, [ 'group_element'( 'e_2' ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 5, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 6, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 7, [ ~( 'group_element'( X ) ), product( X, Y, 'e_2' ), product( X
% 0.42/1.06 , Y, 'e_1' ), ~( 'group_element'( Y ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 9, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T, Z
% 0.42/1.06 ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 10, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y,
% 0.42/1.06 Z ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 11, [ ~( product( X, Y, Z ) ), product( T, X, Y ), ~( product( Z, X
% 0.42/1.06 , T ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 17, [ product( X, 'e_1', 'e_2' ), product( X, 'e_1', 'e_1' ), ~(
% 0.42/1.06 'group_element'( X ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 18, [ product( X, 'e_2', 'e_2' ), product( X, 'e_2', 'e_1' ), ~(
% 0.42/1.06 'group_element'( X ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 19, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1', 'e_2'
% 0.42/1.06 ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 20, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2'
% 0.42/1.06 ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 29, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_2'
% 0.42/1.06 ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 30, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2'
% 0.42/1.06 ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 35, [ equalish( X, 'e_2' ), product( 'e_2', 'e_2', 'e_1' ), ~(
% 0.42/1.06 product( X, 'e_2', 'e_2' ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 39, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.42/1.06 ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 40, [ equalish( X, 'e_2' ), product( 'e_1', 'e_2', 'e_1' ), ~(
% 0.42/1.06 product( X, 'e_2', 'e_1' ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 41, [ equalish( X, 'e_2' ), product( 'e_1', 'e_2', 'e_1' ), ~(
% 0.42/1.06 product( 'e_2', X, 'e_1' ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 43, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2', X ),
% 0.42/1.06 ~( product( 'e_2', X, 'e_2' ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 44, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', X ),
% 0.42/1.06 ~( product( 'e_2', X, 'e_2' ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 49, [ product( 'e_2', 'e_2', 'e_1' ), ~( product( 'e_2', 'e_1',
% 0.42/1.06 'e_2' ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 50, [ product( 'e_1', 'e_2', 'e_1' ), ~( product( 'e_2', 'e_1',
% 0.42/1.06 'e_2' ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 51, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_2', 'e_1'
% 0.42/1.06 ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 53, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 57, [ product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 59, [ equalish( X, 'e_1' ), ~( product( X, 'e_2', 'e_1' ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 62, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.42/1.06 ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 64, [ product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 65, [ product( 'e_1', 'e_1', X ), ~( product( 'e_1', X, 'e_2' ) ) ]
% 0.42/1.06 )
% 0.42/1.06 .
% 0.42/1.06 clause( 66, [ equalish( X, 'e_2' ), ~( product( X, 'e_1', 'e_1' ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 69, [ product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 70, [] )
% 0.42/1.06 .
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 % SZS output end Refutation
% 0.42/1.06 found a proof!
% 0.42/1.06
% 0.42/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.06
% 0.42/1.06 initialclauses(
% 0.42/1.06 [ clause( 72, [ next( 'e_1', 'e_2' ) ] )
% 0.42/1.06 , clause( 73, [ greater( 'e_2', 'e_1' ) ] )
% 0.42/1.06 , clause( 74, [ ~( product( X, 'e_1', Y ) ), ~( next( X, Z ) ), ~( greater(
% 0.42/1.06 Y, Z ) ) ] )
% 0.42/1.06 , clause( 75, [ 'group_element'( 'e_1' ) ] )
% 0.42/1.06 , clause( 76, [ 'group_element'( 'e_2' ) ] )
% 0.42/1.06 , clause( 77, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.42/1.06 , clause( 78, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.42/1.06 , clause( 79, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.42/1.06 product( X, Y, 'e_1' ), product( X, Y, 'e_2' ) ] )
% 0.42/1.06 , clause( 80, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish(
% 0.42/1.06 Z, T ) ] )
% 0.42/1.06 , clause( 81, [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish(
% 0.42/1.06 Y, T ) ] )
% 0.42/1.06 , clause( 82, [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish(
% 0.42/1.06 X, T ) ] )
% 0.42/1.06 , clause( 83, [ ~( product( X, Y, Z ) ), ~( product( Z, X, T ) ), product(
% 0.42/1.06 T, X, Y ) ] )
% 0.42/1.06 ] ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 3, [ 'group_element'( 'e_1' ) ] )
% 0.42/1.06 , clause( 75, [ 'group_element'( 'e_1' ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 4, [ 'group_element'( 'e_2' ) ] )
% 0.42/1.06 , clause( 76, [ 'group_element'( 'e_2' ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 5, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.42/1.06 , clause( 77, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 6, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.42/1.06 , clause( 78, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 7, [ ~( 'group_element'( X ) ), product( X, Y, 'e_2' ), product( X
% 0.42/1.06 , Y, 'e_1' ), ~( 'group_element'( Y ) ) ] )
% 0.42/1.06 , clause( 79, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.42/1.06 product( X, Y, 'e_1' ), product( X, Y, 'e_2' ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.06 ), ==>( 1, 3 ), ==>( 2, 2 ), ==>( 3, 1 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 9, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T, Z
% 0.42/1.06 ) ) ] )
% 0.42/1.06 , clause( 81, [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish(
% 0.42/1.06 Y, T ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.42/1.06 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 10, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y,
% 0.42/1.06 Z ) ) ] )
% 0.42/1.06 , clause( 82, [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish(
% 0.42/1.06 X, T ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.42/1.06 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 11, [ ~( product( X, Y, Z ) ), product( T, X, Y ), ~( product( Z, X
% 0.42/1.06 , T ) ) ] )
% 0.42/1.06 , clause( 83, [ ~( product( X, Y, Z ) ), ~( product( Z, X, T ) ), product(
% 0.42/1.06 T, X, Y ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.42/1.06 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 98, [ ~( 'group_element'( X ) ), product( X, 'e_1', 'e_2' ),
% 0.42/1.06 product( X, 'e_1', 'e_1' ) ] )
% 0.42/1.06 , clause( 7, [ ~( 'group_element'( X ) ), product( X, Y, 'e_2' ), product(
% 0.42/1.06 X, Y, 'e_1' ), ~( 'group_element'( Y ) ) ] )
% 0.42/1.06 , 3, clause( 3, [ 'group_element'( 'e_1' ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_1' )] ), substitution( 1, [] )
% 0.42/1.06 ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 17, [ product( X, 'e_1', 'e_2' ), product( X, 'e_1', 'e_1' ), ~(
% 0.42/1.06 'group_element'( X ) ) ] )
% 0.42/1.06 , clause( 98, [ ~( 'group_element'( X ) ), product( X, 'e_1', 'e_2' ),
% 0.42/1.06 product( X, 'e_1', 'e_1' ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.42/1.06 0 ), ==>( 2, 1 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 100, [ ~( 'group_element'( X ) ), product( X, 'e_2', 'e_2' ),
% 0.42/1.06 product( X, 'e_2', 'e_1' ) ] )
% 0.42/1.06 , clause( 7, [ ~( 'group_element'( X ) ), product( X, Y, 'e_2' ), product(
% 0.42/1.06 X, Y, 'e_1' ), ~( 'group_element'( Y ) ) ] )
% 0.42/1.06 , 3, clause( 4, [ 'group_element'( 'e_2' ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_2' )] ), substitution( 1, [] )
% 0.42/1.06 ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 18, [ product( X, 'e_2', 'e_2' ), product( X, 'e_2', 'e_1' ), ~(
% 0.42/1.06 'group_element'( X ) ) ] )
% 0.42/1.06 , clause( 100, [ ~( 'group_element'( X ) ), product( X, 'e_2', 'e_2' ),
% 0.42/1.06 product( X, 'e_2', 'e_1' ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.42/1.06 0 ), ==>( 2, 1 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 101, [ product( 'e_1', 'e_1', 'e_2' ), product( 'e_1', 'e_1', 'e_1'
% 0.42/1.06 ) ] )
% 0.42/1.06 , clause( 17, [ product( X, 'e_1', 'e_2' ), product( X, 'e_1', 'e_1' ), ~(
% 0.42/1.06 'group_element'( X ) ) ] )
% 0.42/1.06 , 2, clause( 3, [ 'group_element'( 'e_1' ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 19, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1', 'e_2'
% 0.42/1.06 ) ] )
% 0.42/1.06 , clause( 101, [ product( 'e_1', 'e_1', 'e_2' ), product( 'e_1', 'e_1',
% 0.42/1.06 'e_1' ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.42/1.06 ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 102, [ product( 'e_2', 'e_1', 'e_2' ), product( 'e_2', 'e_1', 'e_1'
% 0.42/1.06 ) ] )
% 0.42/1.06 , clause( 17, [ product( X, 'e_1', 'e_2' ), product( X, 'e_1', 'e_1' ), ~(
% 0.42/1.06 'group_element'( X ) ) ] )
% 0.42/1.06 , 2, clause( 4, [ 'group_element'( 'e_2' ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 20, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2'
% 0.42/1.06 ) ] )
% 0.42/1.06 , clause( 102, [ product( 'e_2', 'e_1', 'e_2' ), product( 'e_2', 'e_1',
% 0.42/1.06 'e_1' ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.42/1.06 ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 103, [ product( 'e_1', 'e_2', 'e_2' ), product( 'e_1', 'e_2', 'e_1'
% 0.42/1.06 ) ] )
% 0.42/1.06 , clause( 18, [ product( X, 'e_2', 'e_2' ), product( X, 'e_2', 'e_1' ), ~(
% 0.42/1.06 'group_element'( X ) ) ] )
% 0.42/1.06 , 2, clause( 3, [ 'group_element'( 'e_1' ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 29, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_2'
% 0.42/1.06 ) ] )
% 0.42/1.06 , clause( 103, [ product( 'e_1', 'e_2', 'e_2' ), product( 'e_1', 'e_2',
% 0.42/1.06 'e_1' ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.42/1.06 ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 104, [ product( 'e_2', 'e_2', 'e_2' ), product( 'e_2', 'e_2', 'e_1'
% 0.42/1.06 ) ] )
% 0.42/1.06 , clause( 18, [ product( X, 'e_2', 'e_2' ), product( X, 'e_2', 'e_1' ), ~(
% 0.42/1.06 'group_element'( X ) ) ] )
% 0.42/1.06 , 2, clause( 4, [ 'group_element'( 'e_2' ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 30, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2'
% 0.42/1.06 ) ] )
% 0.42/1.06 , clause( 104, [ product( 'e_2', 'e_2', 'e_2' ), product( 'e_2', 'e_2',
% 0.42/1.06 'e_1' ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.42/1.06 ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 108, [ equalish( X, 'e_2' ), ~( product( X, 'e_2', 'e_2' ) ),
% 0.42/1.06 product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.42/1.06 , clause( 10, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.42/1.06 , Z ) ) ] )
% 0.42/1.06 , 2, clause( 30, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2',
% 0.42/1.06 'e_2' ) ] )
% 0.42/1.06 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'e_2' ), :=( Z, 'e_2' ), :=( T,
% 0.42/1.06 'e_2' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 35, [ equalish( X, 'e_2' ), product( 'e_2', 'e_2', 'e_1' ), ~(
% 0.42/1.06 product( X, 'e_2', 'e_2' ) ) ] )
% 0.42/1.06 , clause( 108, [ equalish( X, 'e_2' ), ~( product( X, 'e_2', 'e_2' ) ),
% 0.42/1.06 product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.42/1.06 2 ), ==>( 2, 1 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 109, [ equalish( 'e_1', 'e_2' ), product( 'e_2', 'e_2', 'e_1' ),
% 0.42/1.06 product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.42/1.06 , clause( 35, [ equalish( X, 'e_2' ), product( 'e_2', 'e_2', 'e_1' ), ~(
% 0.42/1.06 product( X, 'e_2', 'e_2' ) ) ] )
% 0.42/1.06 , 2, clause( 29, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2',
% 0.42/1.06 'e_2' ) ] )
% 0.42/1.06 , 1, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 110, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_1'
% 0.42/1.06 ) ] )
% 0.42/1.06 , clause( 5, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.42/1.06 , 0, clause( 109, [ equalish( 'e_1', 'e_2' ), product( 'e_2', 'e_2', 'e_1'
% 0.42/1.06 ), product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.42/1.06 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 39, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.42/1.06 ) ] )
% 0.42/1.06 , clause( 110, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_2',
% 0.42/1.06 'e_1' ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.42/1.06 ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 114, [ equalish( X, 'e_2' ), ~( product( X, 'e_2', 'e_1' ) ),
% 0.42/1.06 product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.42/1.06 , clause( 10, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.42/1.06 , Z ) ) ] )
% 0.42/1.06 , 2, clause( 39, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_2', 'e_2',
% 0.42/1.06 'e_1' ) ] )
% 0.42/1.06 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'e_2' ), :=( Z, 'e_1' ), :=( T,
% 0.42/1.06 'e_2' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 40, [ equalish( X, 'e_2' ), product( 'e_1', 'e_2', 'e_1' ), ~(
% 0.42/1.06 product( X, 'e_2', 'e_1' ) ) ] )
% 0.42/1.06 , clause( 114, [ equalish( X, 'e_2' ), ~( product( X, 'e_2', 'e_1' ) ),
% 0.42/1.06 product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.42/1.06 2 ), ==>( 2, 1 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 118, [ equalish( X, 'e_2' ), ~( product( 'e_2', X, 'e_1' ) ),
% 0.42/1.06 product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.42/1.06 , clause( 9, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.42/1.06 , Z ) ) ] )
% 0.42/1.06 , 2, clause( 39, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_2', 'e_2',
% 0.42/1.06 'e_1' ) ] )
% 0.42/1.06 , 1, substitution( 0, [ :=( X, 'e_2' ), :=( Y, X ), :=( Z, 'e_1' ), :=( T,
% 0.42/1.06 'e_2' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 41, [ equalish( X, 'e_2' ), product( 'e_1', 'e_2', 'e_1' ), ~(
% 0.42/1.06 product( 'e_2', X, 'e_1' ) ) ] )
% 0.42/1.06 , clause( 118, [ equalish( X, 'e_2' ), ~( product( 'e_2', X, 'e_1' ) ),
% 0.42/1.06 product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.42/1.06 2 ), ==>( 2, 1 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 122, [ ~( product( 'e_2', X, 'e_2' ) ), product( 'e_1', 'e_2', X )
% 0.42/1.06 , product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.42/1.06 , clause( 11, [ ~( product( X, Y, Z ) ), product( T, X, Y ), ~( product( Z
% 0.42/1.06 , X, T ) ) ] )
% 0.42/1.06 , 2, clause( 39, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_2', 'e_2',
% 0.42/1.06 'e_1' ) ] )
% 0.42/1.06 , 1, substitution( 0, [ :=( X, 'e_2' ), :=( Y, X ), :=( Z, 'e_2' ), :=( T,
% 0.42/1.06 'e_1' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 43, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2', X ),
% 0.42/1.06 ~( product( 'e_2', X, 'e_2' ) ) ] )
% 0.42/1.06 , clause( 122, [ ~( product( 'e_2', X, 'e_2' ) ), product( 'e_1', 'e_2', X
% 0.42/1.06 ), product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.42/1.06 1 ), ==>( 2, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 127, [ ~( product( 'e_2', X, 'e_2' ) ), product( 'e_2', 'e_2', X )
% 0.42/1.06 , product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.42/1.06 , clause( 11, [ ~( product( X, Y, Z ) ), product( T, X, Y ), ~( product( Z
% 0.42/1.06 , X, T ) ) ] )
% 0.42/1.06 , 2, clause( 30, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2',
% 0.42/1.06 'e_2' ) ] )
% 0.42/1.06 , 1, substitution( 0, [ :=( X, 'e_2' ), :=( Y, X ), :=( Z, 'e_2' ), :=( T,
% 0.42/1.06 'e_2' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 44, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', X ),
% 0.42/1.06 ~( product( 'e_2', X, 'e_2' ) ) ] )
% 0.42/1.06 , clause( 127, [ ~( product( 'e_2', X, 'e_2' ) ), product( 'e_2', 'e_2', X
% 0.42/1.06 ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.42/1.06 1 ), ==>( 2, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 factor(
% 0.42/1.06 clause( 130, [ product( 'e_2', 'e_2', 'e_1' ), ~( product( 'e_2', 'e_1',
% 0.42/1.06 'e_2' ) ) ] )
% 0.42/1.06 , clause( 44, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', X )
% 0.42/1.06 , ~( product( 'e_2', X, 'e_2' ) ) ] )
% 0.42/1.06 , 0, 1, substitution( 0, [ :=( X, 'e_1' )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 49, [ product( 'e_2', 'e_2', 'e_1' ), ~( product( 'e_2', 'e_1',
% 0.42/1.06 'e_2' ) ) ] )
% 0.42/1.06 , clause( 130, [ product( 'e_2', 'e_2', 'e_1' ), ~( product( 'e_2', 'e_1',
% 0.42/1.06 'e_2' ) ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.42/1.06 ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 factor(
% 0.42/1.06 clause( 131, [ product( 'e_1', 'e_2', 'e_1' ), ~( product( 'e_2', 'e_1',
% 0.42/1.06 'e_2' ) ) ] )
% 0.42/1.06 , clause( 43, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2', X )
% 0.42/1.06 , ~( product( 'e_2', X, 'e_2' ) ) ] )
% 0.42/1.06 , 0, 1, substitution( 0, [ :=( X, 'e_1' )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 50, [ product( 'e_1', 'e_2', 'e_1' ), ~( product( 'e_2', 'e_1',
% 0.42/1.06 'e_2' ) ) ] )
% 0.42/1.06 , clause( 131, [ product( 'e_1', 'e_2', 'e_1' ), ~( product( 'e_2', 'e_1',
% 0.42/1.06 'e_2' ) ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.42/1.06 ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 132, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_2', 'e_1', 'e_1'
% 0.42/1.06 ) ] )
% 0.42/1.06 , clause( 50, [ product( 'e_1', 'e_2', 'e_1' ), ~( product( 'e_2', 'e_1',
% 0.42/1.06 'e_2' ) ) ] )
% 0.42/1.06 , 1, clause( 20, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1',
% 0.42/1.06 'e_2' ) ] )
% 0.42/1.06 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 51, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_2', 'e_1'
% 0.42/1.06 ) ] )
% 0.42/1.06 , clause( 132, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_2', 'e_1',
% 0.42/1.06 'e_1' ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.42/1.06 ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 133, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_1' ),
% 0.42/1.06 product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.42/1.06 , clause( 40, [ equalish( X, 'e_2' ), product( 'e_1', 'e_2', 'e_1' ), ~(
% 0.42/1.06 product( X, 'e_2', 'e_1' ) ) ] )
% 0.42/1.06 , 2, clause( 51, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_2',
% 0.42/1.06 'e_1' ) ] )
% 0.42/1.06 , 1, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 134, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_1' ),
% 0.42/1.06 equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.42/1.06 , clause( 41, [ equalish( X, 'e_2' ), product( 'e_1', 'e_2', 'e_1' ), ~(
% 0.42/1.06 product( 'e_2', X, 'e_1' ) ) ] )
% 0.42/1.06 , 2, clause( 133, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_1'
% 0.42/1.06 ), product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.42/1.06 , 2, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 factor(
% 0.42/1.06 clause( 136, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_1' ),
% 0.42/1.06 equalish( 'e_1', 'e_2' ) ] )
% 0.42/1.06 , clause( 134, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_1' ),
% 0.42/1.06 equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.42/1.06 , 1, 3, substitution( 0, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 factor(
% 0.42/1.06 clause( 137, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_1' ) ]
% 0.42/1.06 )
% 0.42/1.06 , clause( 136, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_1' ),
% 0.42/1.06 equalish( 'e_1', 'e_2' ) ] )
% 0.42/1.06 , 0, 2, substitution( 0, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 53, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.42/1.06 , clause( 137, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_1' ) ]
% 0.42/1.06 )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.42/1.06 ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 138, [ product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.42/1.06 , clause( 5, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.42/1.06 , 0, clause( 53, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_1' )
% 0.42/1.06 ] )
% 0.42/1.06 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 57, [ product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.42/1.06 , clause( 138, [ product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 140, [ equalish( X, 'e_1' ), ~( product( X, 'e_2', 'e_1' ) ) ] )
% 0.42/1.06 , clause( 10, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.42/1.06 , Z ) ) ] )
% 0.42/1.06 , 2, clause( 57, [ product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_2' ), :=( Z, 'e_1' ), :=( T,
% 0.42/1.06 'e_1' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 59, [ equalish( X, 'e_1' ), ~( product( X, 'e_2', 'e_1' ) ) ] )
% 0.42/1.06 , clause( 140, [ equalish( X, 'e_1' ), ~( product( X, 'e_2', 'e_1' ) ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.42/1.06 1 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 141, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_1', 'e_1'
% 0.42/1.06 ) ] )
% 0.42/1.06 , clause( 49, [ product( 'e_2', 'e_2', 'e_1' ), ~( product( 'e_2', 'e_1',
% 0.42/1.06 'e_2' ) ) ] )
% 0.42/1.06 , 1, clause( 20, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1',
% 0.42/1.06 'e_2' ) ] )
% 0.42/1.06 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 62, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.42/1.06 ) ] )
% 0.42/1.06 , clause( 141, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_1',
% 0.42/1.06 'e_1' ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.42/1.06 ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 142, [ equalish( 'e_2', 'e_1' ), product( 'e_2', 'e_1', 'e_1' ) ]
% 0.42/1.06 )
% 0.42/1.06 , clause( 59, [ equalish( X, 'e_1' ), ~( product( X, 'e_2', 'e_1' ) ) ] )
% 0.42/1.06 , 1, clause( 62, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_2',
% 0.42/1.06 'e_1' ) ] )
% 0.42/1.06 , 1, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 143, [ product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.42/1.06 , clause( 6, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.42/1.06 , 0, clause( 142, [ equalish( 'e_2', 'e_1' ), product( 'e_2', 'e_1', 'e_1'
% 0.42/1.06 ) ] )
% 0.42/1.06 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 64, [ product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.42/1.06 , clause( 143, [ product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 145, [ ~( product( 'e_1', X, 'e_2' ) ), product( 'e_1', 'e_1', X )
% 0.42/1.06 ] )
% 0.42/1.06 , clause( 11, [ ~( product( X, Y, Z ) ), product( T, X, Y ), ~( product( Z
% 0.42/1.06 , X, T ) ) ] )
% 0.42/1.06 , 2, clause( 64, [ product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, 'e_1' ), :=( Y, X ), :=( Z, 'e_2' ), :=( T,
% 0.42/1.06 'e_1' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 65, [ product( 'e_1', 'e_1', X ), ~( product( 'e_1', X, 'e_2' ) ) ]
% 0.42/1.06 )
% 0.42/1.06 , clause( 145, [ ~( product( 'e_1', X, 'e_2' ) ), product( 'e_1', 'e_1', X
% 0.42/1.06 ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.42/1.06 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 147, [ equalish( X, 'e_2' ), ~( product( X, 'e_1', 'e_1' ) ) ] )
% 0.42/1.06 , clause( 10, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.42/1.06 , Z ) ) ] )
% 0.42/1.06 , 2, clause( 64, [ product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_1' ), :=( Z, 'e_1' ), :=( T,
% 0.42/1.06 'e_2' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 66, [ equalish( X, 'e_2' ), ~( product( X, 'e_1', 'e_1' ) ) ] )
% 0.42/1.06 , clause( 147, [ equalish( X, 'e_2' ), ~( product( X, 'e_1', 'e_1' ) ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.42/1.06 1 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 148, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1', 'e_1'
% 0.42/1.06 ) ] )
% 0.42/1.06 , clause( 65, [ product( 'e_1', 'e_1', X ), ~( product( 'e_1', X, 'e_2' ) )
% 0.42/1.06 ] )
% 0.42/1.06 , 1, clause( 19, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1',
% 0.42/1.06 'e_2' ) ] )
% 0.42/1.06 , 1, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 factor(
% 0.42/1.06 clause( 149, [ product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.42/1.06 , clause( 148, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1',
% 0.42/1.06 'e_1' ) ] )
% 0.42/1.06 , 0, 1, substitution( 0, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 69, [ product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.42/1.06 , clause( 149, [ product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 150, [ equalish( 'e_1', 'e_2' ) ] )
% 0.42/1.06 , clause( 66, [ equalish( X, 'e_2' ), ~( product( X, 'e_1', 'e_1' ) ) ] )
% 0.42/1.06 , 1, clause( 69, [ product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 151, [] )
% 0.42/1.06 , clause( 5, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.42/1.06 , 0, clause( 150, [ equalish( 'e_1', 'e_2' ) ] )
% 0.42/1.06 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 70, [] )
% 0.42/1.06 , clause( 151, [] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 end.
% 0.42/1.06
% 0.42/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.06
% 0.42/1.06 Memory use:
% 0.42/1.06
% 0.42/1.06 space for terms: 935
% 0.42/1.06 space for clauses: 3438
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 clauses generated: 138
% 0.42/1.06 clauses kept: 71
% 0.42/1.06 clauses selected: 47
% 0.42/1.06 clauses deleted: 5
% 0.42/1.06 clauses inuse deleted: 0
% 0.42/1.06
% 0.42/1.06 subsentry: 470
% 0.42/1.06 literals s-matched: 234
% 0.42/1.06 literals matched: 111
% 0.42/1.06 full subsumption: 18
% 0.42/1.06
% 0.42/1.06 checksum: -708727039
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Bliksem ended
%------------------------------------------------------------------------------