TSTP Solution File: GRP132-1.002 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP132-1.002 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.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 07:35:27 EDT 2022
% Result : Unsatisfiable 0.66s 1.06s
% Output : Refutation 0.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP132-1.002 : TPTP v8.1.0. Released v1.2.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n009.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 : Mon Jun 13 12:09:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.66/1.06 *** allocated 10000 integers for termspace/termends
% 0.66/1.06 *** allocated 10000 integers for clauses
% 0.66/1.06 *** allocated 10000 integers for justifications
% 0.66/1.06 Bliksem 1.12
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 Automatic Strategy Selection
% 0.66/1.06
% 0.66/1.06 Clauses:
% 0.66/1.06 [
% 0.66/1.06 [ 'group_element'( 'e_1' ) ],
% 0.66/1.06 [ 'group_element'( 'e_2' ) ],
% 0.66/1.06 [ ~( equalish( 'e_1', 'e_2' ) ) ],
% 0.66/1.06 [ ~( equalish( 'e_2', 'e_1' ) ) ],
% 0.66/1.06 [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ), product( X, Y,
% 0.66/1.06 'e_1' ), product( X, Y, 'e_2' ) ],
% 0.66/1.06 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish( Z, T ) ]
% 0.66/1.06 ,
% 0.66/1.06 [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish( Y, T ) ]
% 0.66/1.06 ,
% 0.66/1.06 [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish( X, T ) ]
% 0.66/1.06 ,
% 0.66/1.06 [ ~( product( X, Y, Z ) ), ~( product( T, U, Z ) ), ~( product( W, X, Y
% 0.66/1.06 ) ), ~( product( W, T, U ) ), equalish( X, T ) ],
% 0.66/1.06 [ ~( product( X, Y, Z ) ), ~( product( T, U, Z ) ), ~( product( W, X, Y
% 0.66/1.06 ) ), ~( product( W, T, U ) ), equalish( Y, U ) ]
% 0.66/1.06 ] .
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 percentage equality = 0.000000, percentage horn = 0.900000
% 0.66/1.06 This is a near-Horn, non-equality problem
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 Options Used:
% 0.66/1.06
% 0.66/1.06 useres = 1
% 0.66/1.06 useparamod = 0
% 0.66/1.06 useeqrefl = 0
% 0.66/1.06 useeqfact = 0
% 0.66/1.06 usefactor = 1
% 0.66/1.06 usesimpsplitting = 0
% 0.66/1.06 usesimpdemod = 0
% 0.66/1.06 usesimpres = 4
% 0.66/1.06
% 0.66/1.06 resimpinuse = 1000
% 0.66/1.06 resimpclauses = 20000
% 0.66/1.06 substype = standard
% 0.66/1.06 backwardsubs = 1
% 0.66/1.06 selectoldest = 5
% 0.66/1.06
% 0.66/1.06 litorderings [0] = split
% 0.66/1.06 litorderings [1] = liftord
% 0.66/1.06
% 0.66/1.06 termordering = none
% 0.66/1.06
% 0.66/1.06 litapriori = 1
% 0.66/1.06 termapriori = 0
% 0.66/1.06 litaposteriori = 0
% 0.66/1.06 termaposteriori = 0
% 0.66/1.06 demodaposteriori = 0
% 0.66/1.06 ordereqreflfact = 0
% 0.66/1.06
% 0.66/1.06 litselect = negative
% 0.66/1.06
% 0.66/1.06 maxweight = 30000
% 0.66/1.06 maxdepth = 30000
% 0.66/1.06 maxlength = 115
% 0.66/1.06 maxnrvars = 195
% 0.66/1.06 excuselevel = 0
% 0.66/1.06 increasemaxweight = 0
% 0.66/1.06
% 0.66/1.06 maxselected = 10000000
% 0.66/1.06 maxnrclauses = 10000000
% 0.66/1.06
% 0.66/1.06 showgenerated = 0
% 0.66/1.06 showkept = 0
% 0.66/1.06 showselected = 0
% 0.66/1.06 showdeleted = 0
% 0.66/1.06 showresimp = 1
% 0.66/1.06 showstatus = 2000
% 0.66/1.06
% 0.66/1.06 prologoutput = 1
% 0.66/1.06 nrgoals = 5000000
% 0.66/1.06 totalproof = 1
% 0.66/1.06
% 0.66/1.06 Symbols occurring in the translation:
% 0.66/1.06
% 0.66/1.06 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.66/1.06 . [1, 2] (w:1, o:27, a:1, s:1, b:0),
% 0.66/1.06 ! [4, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.66/1.06 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.66/1.06 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.66/1.06 'e_1' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.66/1.06 'group_element' [40, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.66/1.06 'e_2' [41, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.66/1.06 equalish [42, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.66/1.06 product [45, 3] (w:1, o:53, a:1, s:1, b:0).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 Starting Search:
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 Bliksems!, er is een bewijs:
% 0.66/1.06 % SZS status Unsatisfiable
% 0.66/1.06 % SZS output start Refutation
% 0.66/1.06
% 0.66/1.06 clause( 0, [ 'group_element'( 'e_1' ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 1, [ 'group_element'( 'e_2' ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 2, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 3, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 4, [ ~( 'group_element'( X ) ), product( X, Y, 'e_2' ), product( X
% 0.66/1.06 , Y, 'e_1' ), ~( 'group_element'( Y ) ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 6, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T, Z
% 0.66/1.06 ) ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 7, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y, Z
% 0.66/1.06 ) ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 8, [ equalish( X, T ), ~( product( W, X, Y ) ), ~( product( T, U, Z
% 0.66/1.06 ) ), ~( product( X, Y, Z ) ), ~( product( W, T, U ) ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 14, [ equalish( X, Y ), ~( product( X, Z, Z ) ), ~( product( Y, X,
% 0.66/1.06 Z ) ), ~( product( Y, Y, X ) ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 22, [ product( X, 'e_1', 'e_2' ), product( X, 'e_1', 'e_1' ), ~(
% 0.66/1.06 'group_element'( X ) ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 23, [ product( X, 'e_2', 'e_2' ), product( X, 'e_2', 'e_1' ), ~(
% 0.66/1.06 'group_element'( X ) ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 24, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1', 'e_2'
% 0.66/1.06 ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 25, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2'
% 0.66/1.06 ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 34, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_2'
% 0.66/1.06 ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 35, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2'
% 0.66/1.06 ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 38, [ equalish( X, 'e_2' ), product( 'e_2', 'e_2', 'e_1' ), ~(
% 0.66/1.06 product( 'e_2', X, 'e_2' ) ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 40, [ equalish( X, 'e_2' ), product( 'e_2', 'e_2', 'e_1' ), ~(
% 0.66/1.06 product( X, 'e_2', 'e_2' ) ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 44, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.66/1.06 ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 46, [ equalish( X, 'e_2' ), product( 'e_1', 'e_2', 'e_1' ), ~(
% 0.66/1.06 product( 'e_2', X, 'e_1' ) ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 78, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.66/1.06 ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 80, [ product( 'e_2', 'e_1', 'e_1' ), ~( product( 'e_2', 'e_1', X )
% 0.66/1.06 ), ~( product( 'e_1', X, X ) ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 83, [ equalish( X, 'e_2' ), product( 'e_2', 'e_1', 'e_1' ), ~(
% 0.66/1.06 product( X, 'e_2', 'e_1' ) ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 90, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_2', 'e_1'
% 0.66/1.06 ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 92, [ product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 96, [ product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 97, [ equalish( X, 'e_1' ), ~( product( 'e_1', 'e_1', Z ) ), ~(
% 0.66/1.06 product( 'e_2', X, Y ) ), ~( product( X, Y, Z ) ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 99, [ equalish( X, 'e_1' ), ~( product( 'e_2', X, 'e_1' ) ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 101, [ ~( product( 'e_2', 'e_2', 'e_2' ) ), ~( product( 'e_1',
% 0.66/1.06 'e_1', 'e_2' ) ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 104, [ equalish( X, 'e_2' ), ~( product( 'e_2', 'e_1', Z ) ), ~(
% 0.66/1.06 product( 'e_1', X, Y ) ), ~( product( X, Y, Z ) ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 108, [ ~( product( 'e_2', 'e_1', 'e_1' ) ), ~( product( 'e_1',
% 0.66/1.06 'e_1', 'e_1' ) ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 109, [ ~( product( 'e_1', 'e_1', 'e_1' ) ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 110, [ ~( product( 'e_2', 'e_2', 'e_2' ) ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 111, [ product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 113, [] )
% 0.66/1.06 .
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 % SZS output end Refutation
% 0.66/1.06 found a proof!
% 0.66/1.06
% 0.66/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.66/1.06
% 0.66/1.06 initialclauses(
% 0.66/1.06 [ clause( 115, [ 'group_element'( 'e_1' ) ] )
% 0.66/1.06 , clause( 116, [ 'group_element'( 'e_2' ) ] )
% 0.66/1.06 , clause( 117, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.66/1.06 , clause( 118, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.66/1.06 , clause( 119, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.66/1.06 product( X, Y, 'e_1' ), product( X, Y, 'e_2' ) ] )
% 0.66/1.06 , clause( 120, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish(
% 0.66/1.06 Z, T ) ] )
% 0.66/1.06 , clause( 121, [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish(
% 0.66/1.06 Y, T ) ] )
% 0.66/1.06 , clause( 122, [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish(
% 0.66/1.06 X, T ) ] )
% 0.66/1.06 , clause( 123, [ ~( product( X, Y, Z ) ), ~( product( T, U, Z ) ), ~(
% 0.66/1.06 product( W, X, Y ) ), ~( product( W, T, U ) ), equalish( X, T ) ] )
% 0.66/1.06 , clause( 124, [ ~( product( X, Y, Z ) ), ~( product( T, U, Z ) ), ~(
% 0.66/1.06 product( W, X, Y ) ), ~( product( W, T, U ) ), equalish( Y, U ) ] )
% 0.66/1.06 ] ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 0, [ 'group_element'( 'e_1' ) ] )
% 0.66/1.06 , clause( 115, [ 'group_element'( 'e_1' ) ] )
% 0.66/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 1, [ 'group_element'( 'e_2' ) ] )
% 0.66/1.06 , clause( 116, [ 'group_element'( 'e_2' ) ] )
% 0.66/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 2, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.66/1.06 , clause( 117, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.66/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 3, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.66/1.06 , clause( 118, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.66/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 4, [ ~( 'group_element'( X ) ), product( X, Y, 'e_2' ), product( X
% 0.66/1.06 , Y, 'e_1' ), ~( 'group_element'( Y ) ) ] )
% 0.66/1.06 , clause( 119, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.66/1.06 product( X, Y, 'e_1' ), product( X, Y, 'e_2' ) ] )
% 0.66/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.66/1.06 ), ==>( 1, 3 ), ==>( 2, 2 ), ==>( 3, 1 )] ) ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 6, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T, Z
% 0.66/1.06 ) ) ] )
% 0.66/1.06 , clause( 121, [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish(
% 0.66/1.06 Y, T ) ] )
% 0.66/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.66/1.06 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 7, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y, Z
% 0.66/1.06 ) ) ] )
% 0.66/1.06 , clause( 122, [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish(
% 0.66/1.06 X, T ) ] )
% 0.66/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.66/1.06 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 8, [ equalish( X, T ), ~( product( W, X, Y ) ), ~( product( T, U, Z
% 0.66/1.06 ) ), ~( product( X, Y, Z ) ), ~( product( W, T, U ) ) ] )
% 0.66/1.06 , clause( 123, [ ~( product( X, Y, Z ) ), ~( product( T, U, Z ) ), ~(
% 0.66/1.06 product( W, X, Y ) ), ~( product( W, T, U ) ), equalish( X, T ) ] )
% 0.66/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.66/1.06 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 2 ), ==>( 2
% 0.66/1.06 , 1 ), ==>( 3, 4 ), ==>( 4, 0 )] ) ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 factor(
% 0.66/1.06 clause( 145, [ equalish( X, Y ), ~( product( Y, X, Z ) ), ~( product( X, Z
% 0.66/1.06 , Z ) ), ~( product( Y, Y, X ) ) ] )
% 0.66/1.06 , clause( 8, [ equalish( X, T ), ~( product( W, X, Y ) ), ~( product( T, U
% 0.66/1.06 , Z ) ), ~( product( X, Y, Z ) ), ~( product( W, T, U ) ) ] )
% 0.66/1.06 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Z ), :=( T, Y ),
% 0.66/1.06 :=( U, X ), :=( W, Y )] )).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 14, [ equalish( X, Y ), ~( product( X, Z, Z ) ), ~( product( Y, X,
% 0.66/1.06 Z ) ), ~( product( Y, Y, X ) ) ] )
% 0.66/1.06 , clause( 145, [ equalish( X, Y ), ~( product( Y, X, Z ) ), ~( product( X,
% 0.66/1.06 Z, Z ) ), ~( product( Y, Y, X ) ) ] )
% 0.66/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.66/1.06 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 ), ==>( 3, 3 )] )
% 0.66/1.06 ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 resolution(
% 0.66/1.06 clause( 154, [ ~( 'group_element'( X ) ), product( X, 'e_1', 'e_2' ),
% 0.66/1.06 product( X, 'e_1', 'e_1' ) ] )
% 0.66/1.06 , clause( 4, [ ~( 'group_element'( X ) ), product( X, Y, 'e_2' ), product(
% 0.66/1.06 X, Y, 'e_1' ), ~( 'group_element'( Y ) ) ] )
% 0.66/1.06 , 3, clause( 0, [ 'group_element'( 'e_1' ) ] )
% 0.66/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_1' )] ), substitution( 1, [] )
% 0.66/1.06 ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 22, [ product( X, 'e_1', 'e_2' ), product( X, 'e_1', 'e_1' ), ~(
% 0.66/1.06 'group_element'( X ) ) ] )
% 0.66/1.06 , clause( 154, [ ~( 'group_element'( X ) ), product( X, 'e_1', 'e_2' ),
% 0.66/1.06 product( X, 'e_1', 'e_1' ) ] )
% 0.66/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.66/1.06 0 ), ==>( 2, 1 )] ) ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 resolution(
% 0.66/1.06 clause( 156, [ ~( 'group_element'( X ) ), product( X, 'e_2', 'e_2' ),
% 0.66/1.06 product( X, 'e_2', 'e_1' ) ] )
% 0.66/1.06 , clause( 4, [ ~( 'group_element'( X ) ), product( X, Y, 'e_2' ), product(
% 0.66/1.06 X, Y, 'e_1' ), ~( 'group_element'( Y ) ) ] )
% 0.66/1.06 , 3, clause( 1, [ 'group_element'( 'e_2' ) ] )
% 0.66/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_2' )] ), substitution( 1, [] )
% 0.66/1.06 ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 23, [ product( X, 'e_2', 'e_2' ), product( X, 'e_2', 'e_1' ), ~(
% 0.66/1.06 'group_element'( X ) ) ] )
% 0.66/1.06 , clause( 156, [ ~( 'group_element'( X ) ), product( X, 'e_2', 'e_2' ),
% 0.66/1.06 product( X, 'e_2', 'e_1' ) ] )
% 0.66/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.66/1.06 0 ), ==>( 2, 1 )] ) ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 resolution(
% 0.66/1.06 clause( 157, [ product( 'e_1', 'e_1', 'e_2' ), product( 'e_1', 'e_1', 'e_1'
% 0.66/1.06 ) ] )
% 0.66/1.06 , clause( 22, [ product( X, 'e_1', 'e_2' ), product( X, 'e_1', 'e_1' ), ~(
% 0.66/1.06 'group_element'( X ) ) ] )
% 0.66/1.06 , 2, clause( 0, [ 'group_element'( 'e_1' ) ] )
% 0.66/1.06 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 24, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1', 'e_2'
% 0.66/1.06 ) ] )
% 0.66/1.06 , clause( 157, [ product( 'e_1', 'e_1', 'e_2' ), product( 'e_1', 'e_1',
% 0.66/1.06 'e_1' ) ] )
% 0.66/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.66/1.06 ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 resolution(
% 0.66/1.06 clause( 158, [ product( 'e_2', 'e_1', 'e_2' ), product( 'e_2', 'e_1', 'e_1'
% 0.66/1.06 ) ] )
% 0.66/1.06 , clause( 22, [ product( X, 'e_1', 'e_2' ), product( X, 'e_1', 'e_1' ), ~(
% 0.66/1.06 'group_element'( X ) ) ] )
% 0.66/1.06 , 2, clause( 1, [ 'group_element'( 'e_2' ) ] )
% 0.66/1.06 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 25, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2'
% 0.66/1.06 ) ] )
% 0.66/1.06 , clause( 158, [ product( 'e_2', 'e_1', 'e_2' ), product( 'e_2', 'e_1',
% 0.66/1.06 'e_1' ) ] )
% 0.66/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.66/1.06 ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 resolution(
% 0.66/1.06 clause( 159, [ product( 'e_1', 'e_2', 'e_2' ), product( 'e_1', 'e_2', 'e_1'
% 0.66/1.06 ) ] )
% 0.66/1.06 , clause( 23, [ product( X, 'e_2', 'e_2' ), product( X, 'e_2', 'e_1' ), ~(
% 0.66/1.06 'group_element'( X ) ) ] )
% 0.66/1.06 , 2, clause( 0, [ 'group_element'( 'e_1' ) ] )
% 0.66/1.06 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 34, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_2'
% 0.66/1.06 ) ] )
% 0.66/1.06 , clause( 159, [ product( 'e_1', 'e_2', 'e_2' ), product( 'e_1', 'e_2',
% 0.66/1.06 'e_1' ) ] )
% 0.66/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.66/1.06 ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 resolution(
% 0.66/1.06 clause( 160, [ product( 'e_2', 'e_2', 'e_2' ), product( 'e_2', 'e_2', 'e_1'
% 0.66/1.06 ) ] )
% 0.66/1.06 , clause( 23, [ product( X, 'e_2', 'e_2' ), product( X, 'e_2', 'e_1' ), ~(
% 0.66/1.06 'group_element'( X ) ) ] )
% 0.66/1.06 , 2, clause( 1, [ 'group_element'( 'e_2' ) ] )
% 0.66/1.06 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 35, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2'
% 0.66/1.06 ) ] )
% 0.66/1.06 , clause( 160, [ product( 'e_2', 'e_2', 'e_2' ), product( 'e_2', 'e_2',
% 0.66/1.06 'e_1' ) ] )
% 0.66/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.66/1.06 ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 resolution(
% 0.66/1.06 clause( 164, [ equalish( X, 'e_2' ), ~( product( 'e_2', X, 'e_2' ) ),
% 0.66/1.06 product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.66/1.06 , clause( 6, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.66/1.06 , Z ) ) ] )
% 0.66/1.06 , 2, clause( 35, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2',
% 0.66/1.06 'e_2' ) ] )
% 0.66/1.06 , 1, substitution( 0, [ :=( X, 'e_2' ), :=( Y, X ), :=( Z, 'e_2' ), :=( T,
% 0.66/1.06 'e_2' )] ), substitution( 1, [] )).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 38, [ equalish( X, 'e_2' ), product( 'e_2', 'e_2', 'e_1' ), ~(
% 0.66/1.06 product( 'e_2', X, 'e_2' ) ) ] )
% 0.66/1.06 , clause( 164, [ equalish( X, 'e_2' ), ~( product( 'e_2', X, 'e_2' ) ),
% 0.66/1.06 product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.66/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.66/1.06 2 ), ==>( 2, 1 )] ) ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 resolution(
% 0.66/1.06 clause( 168, [ equalish( X, 'e_2' ), ~( product( X, 'e_2', 'e_2' ) ),
% 0.66/1.06 product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.66/1.06 , clause( 7, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.66/1.06 , Z ) ) ] )
% 0.66/1.06 , 2, clause( 35, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2',
% 0.66/1.06 'e_2' ) ] )
% 0.66/1.06 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'e_2' ), :=( Z, 'e_2' ), :=( T,
% 0.66/1.06 'e_2' )] ), substitution( 1, [] )).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 40, [ equalish( X, 'e_2' ), product( 'e_2', 'e_2', 'e_1' ), ~(
% 0.66/1.06 product( X, 'e_2', 'e_2' ) ) ] )
% 0.66/1.06 , clause( 168, [ equalish( X, 'e_2' ), ~( product( X, 'e_2', 'e_2' ) ),
% 0.66/1.06 product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.66/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.66/1.06 2 ), ==>( 2, 1 )] ) ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 resolution(
% 0.66/1.06 clause( 169, [ equalish( 'e_1', 'e_2' ), product( 'e_2', 'e_2', 'e_1' ),
% 0.66/1.06 product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.66/1.06 , clause( 40, [ equalish( X, 'e_2' ), product( 'e_2', 'e_2', 'e_1' ), ~(
% 0.66/1.06 product( X, 'e_2', 'e_2' ) ) ] )
% 0.66/1.06 , 2, clause( 34, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2',
% 0.66/1.06 'e_2' ) ] )
% 0.66/1.06 , 1, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 resolution(
% 0.66/1.06 clause( 170, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_1'
% 0.66/1.06 ) ] )
% 0.66/1.06 , clause( 2, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.66/1.06 , 0, clause( 169, [ equalish( 'e_1', 'e_2' ), product( 'e_2', 'e_2', 'e_1'
% 0.66/1.06 ), product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.66/1.06 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 44, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.66/1.06 ) ] )
% 0.66/1.06 , clause( 170, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_2',
% 0.66/1.06 'e_1' ) ] )
% 0.66/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.66/1.06 ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 resolution(
% 0.66/1.06 clause( 174, [ equalish( X, 'e_2' ), ~( product( 'e_2', X, 'e_1' ) ),
% 0.66/1.06 product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.66/1.06 , clause( 6, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.66/1.06 , Z ) ) ] )
% 0.66/1.06 , 2, clause( 44, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_2', 'e_2',
% 0.66/1.06 'e_1' ) ] )
% 0.66/1.06 , 1, substitution( 0, [ :=( X, 'e_2' ), :=( Y, X ), :=( Z, 'e_1' ), :=( T,
% 0.66/1.06 'e_2' )] ), substitution( 1, [] )).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 46, [ equalish( X, 'e_2' ), product( 'e_1', 'e_2', 'e_1' ), ~(
% 0.66/1.06 product( 'e_2', X, 'e_1' ) ) ] )
% 0.66/1.06 , clause( 174, [ equalish( X, 'e_2' ), ~( product( 'e_2', X, 'e_1' ) ),
% 0.66/1.06 product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.66/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.66/1.06 2 ), ==>( 2, 1 )] ) ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 resolution(
% 0.66/1.06 clause( 175, [ equalish( 'e_1', 'e_2' ), product( 'e_2', 'e_2', 'e_1' ),
% 0.66/1.06 product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.66/1.06 , clause( 38, [ equalish( X, 'e_2' ), product( 'e_2', 'e_2', 'e_1' ), ~(
% 0.66/1.06 product( 'e_2', X, 'e_2' ) ) ] )
% 0.66/1.06 , 2, clause( 25, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1',
% 0.66/1.06 'e_2' ) ] )
% 0.66/1.06 , 1, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 resolution(
% 0.66/1.06 clause( 176, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_1', 'e_1'
% 0.66/1.06 ) ] )
% 0.66/1.06 , clause( 2, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.66/1.06 , 0, clause( 175, [ equalish( 'e_1', 'e_2' ), product( 'e_2', 'e_2', 'e_1'
% 0.66/1.06 ), product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.66/1.06 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 78, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.66/1.06 ) ] )
% 0.66/1.06 , clause( 176, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_1',
% 0.66/1.06 'e_1' ) ] )
% 0.66/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.66/1.06 ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 resolution(
% 0.66/1.06 clause( 180, [ equalish( 'e_1', 'e_2' ), ~( product( 'e_1', X, X ) ), ~(
% 0.66/1.06 product( 'e_2', 'e_1', X ) ), product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.66/1.06 , clause( 14, [ equalish( X, Y ), ~( product( X, Z, Z ) ), ~( product( Y, X
% 0.66/1.06 , Z ) ), ~( product( Y, Y, X ) ) ] )
% 0.66/1.06 , 3, clause( 78, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_2',
% 0.66/1.06 'e_1' ) ] )
% 0.66/1.06 , 1, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_2' ), :=( Z, X )] ),
% 0.66/1.06 substitution( 1, [] )).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 resolution(
% 0.66/1.06 clause( 182, [ ~( product( 'e_1', X, X ) ), ~( product( 'e_2', 'e_1', X ) )
% 0.66/1.06 , product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.66/1.06 , clause( 2, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.66/1.06 , 0, clause( 180, [ equalish( 'e_1', 'e_2' ), ~( product( 'e_1', X, X ) ),
% 0.66/1.06 ~( product( 'e_2', 'e_1', X ) ), product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.66/1.06 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 80, [ product( 'e_2', 'e_1', 'e_1' ), ~( product( 'e_2', 'e_1', X )
% 0.66/1.06 ), ~( product( 'e_1', X, X ) ) ] )
% 0.66/1.06 , clause( 182, [ ~( product( 'e_1', X, X ) ), ~( product( 'e_2', 'e_1', X )
% 0.66/1.06 ), product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.66/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.66/1.06 1 ), ==>( 2, 0 )] ) ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 resolution(
% 0.66/1.06 clause( 186, [ equalish( X, 'e_2' ), ~( product( X, 'e_2', 'e_1' ) ),
% 0.66/1.06 product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.66/1.06 , clause( 7, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.66/1.06 , Z ) ) ] )
% 0.66/1.06 , 2, clause( 78, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_2',
% 0.66/1.06 'e_1' ) ] )
% 0.66/1.06 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'e_2' ), :=( Z, 'e_1' ), :=( T,
% 0.66/1.06 'e_2' )] ), substitution( 1, [] )).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 83, [ equalish( X, 'e_2' ), product( 'e_2', 'e_1', 'e_1' ), ~(
% 0.66/1.06 product( X, 'e_2', 'e_1' ) ) ] )
% 0.66/1.06 , clause( 186, [ equalish( X, 'e_2' ), ~( product( X, 'e_2', 'e_1' ) ),
% 0.66/1.06 product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.66/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.66/1.06 2 ), ==>( 2, 1 )] ) ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 resolution(
% 0.66/1.06 clause( 187, [ product( 'e_2', 'e_1', 'e_1' ), ~( product( 'e_2', 'e_1',
% 0.66/1.06 'e_2' ) ), product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.66/1.06 , clause( 80, [ product( 'e_2', 'e_1', 'e_1' ), ~( product( 'e_2', 'e_1', X
% 0.66/1.06 ) ), ~( product( 'e_1', X, X ) ) ] )
% 0.66/1.06 , 2, clause( 34, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2',
% 0.66/1.06 'e_2' ) ] )
% 0.66/1.06 , 1, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 resolution(
% 0.66/1.06 clause( 188, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_2', 'e_1'
% 0.66/1.06 ), product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.66/1.06 , clause( 187, [ product( 'e_2', 'e_1', 'e_1' ), ~( product( 'e_2', 'e_1',
% 0.66/1.06 'e_2' ) ), product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.66/1.06 , 1, clause( 25, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1',
% 0.66/1.06 'e_2' ) ] )
% 0.66/1.06 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 factor(
% 0.66/1.06 clause( 189, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_2', 'e_1'
% 0.66/1.06 ) ] )
% 0.66/1.06 , clause( 188, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_2',
% 0.66/1.06 'e_1' ), product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.66/1.06 , 0, 2, substitution( 0, [] )).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 90, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_2', 'e_1'
% 0.66/1.06 ) ] )
% 0.66/1.06 , clause( 189, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_2',
% 0.66/1.06 'e_1' ) ] )
% 0.66/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.66/1.06 ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 resolution(
% 0.66/1.06 clause( 190, [ equalish( 'e_1', 'e_2' ), product( 'e_2', 'e_1', 'e_1' ),
% 0.66/1.06 product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.66/1.06 , clause( 83, [ equalish( X, 'e_2' ), product( 'e_2', 'e_1', 'e_1' ), ~(
% 0.66/1.06 product( X, 'e_2', 'e_1' ) ) ] )
% 0.66/1.06 , 2, clause( 90, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_2',
% 0.66/1.06 'e_1' ) ] )
% 0.66/1.06 , 1, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 resolution(
% 0.66/1.06 clause( 192, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_1'
% 0.66/1.06 ) ] )
% 0.66/1.06 , clause( 2, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.66/1.06 , 0, clause( 190, [ equalish( 'e_1', 'e_2' ), product( 'e_2', 'e_1', 'e_1'
% 0.66/1.06 ), product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.66/1.06 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 factor(
% 0.66/1.06 clause( 193, [ product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.66/1.06 , clause( 192, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1',
% 0.66/1.06 'e_1' ) ] )
% 0.66/1.06 , 0, 1, substitution( 0, [] )).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 92, [ product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.66/1.06 , clause( 193, [ product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.66/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 resolution(
% 0.66/1.06 clause( 194, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_1' ) ]
% 0.66/1.06 )
% 0.66/1.06 , clause( 46, [ equalish( X, 'e_2' ), product( 'e_1', 'e_2', 'e_1' ), ~(
% 0.66/1.06 product( 'e_2', X, 'e_1' ) ) ] )
% 0.66/1.06 , 2, clause( 92, [ product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.66/1.06 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 resolution(
% 0.66/1.06 clause( 195, [ product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.66/1.06 , clause( 2, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.66/1.06 , 0, clause( 194, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_1'
% 0.66/1.06 ) ] )
% 0.66/1.06 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 96, [ product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.66/1.06 , clause( 195, [ product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.66/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 resolution(
% 0.66/1.06 clause( 199, [ equalish( X, 'e_1' ), ~( product( 'e_2', X, Y ) ), ~(
% 0.66/1.06 product( 'e_1', 'e_1', Z ) ), ~( product( X, Y, Z ) ) ] )
% 0.66/1.06 , clause( 8, [ equalish( X, T ), ~( product( W, X, Y ) ), ~( product( T, U
% 0.66/1.06 , Z ) ), ~( product( X, Y, Z ) ), ~( product( W, T, U ) ) ] )
% 0.66/1.06 , 4, clause( 92, [ product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.66/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, 'e_1' )
% 0.66/1.06 , :=( U, 'e_1' ), :=( W, 'e_2' )] ), substitution( 1, [] )).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 97, [ equalish( X, 'e_1' ), ~( product( 'e_1', 'e_1', Z ) ), ~(
% 0.66/1.06 product( 'e_2', X, Y ) ), ~( product( X, Y, Z ) ) ] )
% 0.66/1.06 , clause( 199, [ equalish( X, 'e_1' ), ~( product( 'e_2', X, Y ) ), ~(
% 0.66/1.06 product( 'e_1', 'e_1', Z ) ), ~( product( X, Y, Z ) ) ] )
% 0.66/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.66/1.06 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 ), ==>( 3, 3 )] )
% 0.66/1.06 ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 resolution(
% 0.66/1.06 clause( 209, [ equalish( X, 'e_1' ), ~( product( 'e_2', X, 'e_1' ) ) ] )
% 0.66/1.06 , clause( 6, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.66/1.06 , Z ) ) ] )
% 0.66/1.06 , 2, clause( 92, [ product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.66/1.06 , 0, substitution( 0, [ :=( X, 'e_2' ), :=( Y, X ), :=( Z, 'e_1' ), :=( T,
% 0.66/1.06 'e_1' )] ), substitution( 1, [] )).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 99, [ equalish( X, 'e_1' ), ~( product( 'e_2', X, 'e_1' ) ) ] )
% 0.66/1.06 , clause( 209, [ equalish( X, 'e_1' ), ~( product( 'e_2', X, 'e_1' ) ) ] )
% 0.66/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.66/1.06 1 )] ) ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 factor(
% 0.66/1.06 clause( 211, [ equalish( 'e_2', 'e_1' ), ~( product( 'e_1', 'e_1', 'e_2' )
% 0.66/1.06 ), ~( product( 'e_2', 'e_2', 'e_2' ) ) ] )
% 0.66/1.06 , clause( 97, [ equalish( X, 'e_1' ), ~( product( 'e_1', 'e_1', Z ) ), ~(
% 0.66/1.06 product( 'e_2', X, Y ) ), ~( product( X, Y, Z ) ) ] )
% 0.66/1.06 , 2, 3, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_2' ), :=( Z, 'e_2' )] )
% 0.66/1.06 ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 resolution(
% 0.66/1.06 clause( 212, [ ~( product( 'e_1', 'e_1', 'e_2' ) ), ~( product( 'e_2',
% 0.66/1.06 'e_2', 'e_2' ) ) ] )
% 0.66/1.06 , clause( 3, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.66/1.06 , 0, clause( 211, [ equalish( 'e_2', 'e_1' ), ~( product( 'e_1', 'e_1',
% 0.66/1.06 'e_2' ) ), ~( product( 'e_2', 'e_2', 'e_2' ) ) ] )
% 0.66/1.06 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 101, [ ~( product( 'e_2', 'e_2', 'e_2' ) ), ~( product( 'e_1',
% 0.66/1.06 'e_1', 'e_2' ) ) ] )
% 0.66/1.06 , clause( 212, [ ~( product( 'e_1', 'e_1', 'e_2' ) ), ~( product( 'e_2',
% 0.66/1.06 'e_2', 'e_2' ) ) ] )
% 0.66/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.66/1.06 ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 resolution(
% 0.66/1.06 clause( 216, [ equalish( X, 'e_2' ), ~( product( 'e_1', X, Y ) ), ~(
% 0.66/1.06 product( 'e_2', 'e_1', Z ) ), ~( product( X, Y, Z ) ) ] )
% 0.66/1.06 , clause( 8, [ equalish( X, T ), ~( product( W, X, Y ) ), ~( product( T, U
% 0.66/1.06 , Z ) ), ~( product( X, Y, Z ) ), ~( product( W, T, U ) ) ] )
% 0.66/1.06 , 4, clause( 96, [ product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.66/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, 'e_2' )
% 0.66/1.06 , :=( U, 'e_1' ), :=( W, 'e_1' )] ), substitution( 1, [] )).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 104, [ equalish( X, 'e_2' ), ~( product( 'e_2', 'e_1', Z ) ), ~(
% 0.66/1.06 product( 'e_1', X, Y ) ), ~( product( X, Y, Z ) ) ] )
% 0.66/1.06 , clause( 216, [ equalish( X, 'e_2' ), ~( product( 'e_1', X, Y ) ), ~(
% 0.66/1.06 product( 'e_2', 'e_1', Z ) ), ~( product( X, Y, Z ) ) ] )
% 0.66/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.66/1.06 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 ), ==>( 3, 3 )] )
% 0.66/1.06 ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 factor(
% 0.66/1.06 clause( 223, [ equalish( 'e_1', 'e_2' ), ~( product( 'e_2', 'e_1', 'e_1' )
% 0.66/1.06 ), ~( product( 'e_1', 'e_1', 'e_1' ) ) ] )
% 0.66/1.06 , clause( 104, [ equalish( X, 'e_2' ), ~( product( 'e_2', 'e_1', Z ) ), ~(
% 0.66/1.06 product( 'e_1', X, Y ) ), ~( product( X, Y, Z ) ) ] )
% 0.66/1.06 , 2, 3, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_1' ), :=( Z, 'e_1' )] )
% 0.66/1.06 ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 resolution(
% 0.66/1.06 clause( 224, [ ~( product( 'e_2', 'e_1', 'e_1' ) ), ~( product( 'e_1',
% 0.66/1.06 'e_1', 'e_1' ) ) ] )
% 0.66/1.06 , clause( 2, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.66/1.06 , 0, clause( 223, [ equalish( 'e_1', 'e_2' ), ~( product( 'e_2', 'e_1',
% 0.66/1.06 'e_1' ) ), ~( product( 'e_1', 'e_1', 'e_1' ) ) ] )
% 0.66/1.06 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 108, [ ~( product( 'e_2', 'e_1', 'e_1' ) ), ~( product( 'e_1',
% 0.66/1.06 'e_1', 'e_1' ) ) ] )
% 0.66/1.06 , clause( 224, [ ~( product( 'e_2', 'e_1', 'e_1' ) ), ~( product( 'e_1',
% 0.66/1.06 'e_1', 'e_1' ) ) ] )
% 0.66/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.66/1.06 ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 resolution(
% 0.66/1.06 clause( 225, [ ~( product( 'e_1', 'e_1', 'e_1' ) ) ] )
% 0.66/1.06 , clause( 108, [ ~( product( 'e_2', 'e_1', 'e_1' ) ), ~( product( 'e_1',
% 0.66/1.06 'e_1', 'e_1' ) ) ] )
% 0.66/1.06 , 0, clause( 92, [ product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.66/1.06 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 109, [ ~( product( 'e_1', 'e_1', 'e_1' ) ) ] )
% 0.66/1.06 , clause( 225, [ ~( product( 'e_1', 'e_1', 'e_1' ) ) ] )
% 0.66/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 resolution(
% 0.66/1.06 clause( 226, [ ~( product( 'e_2', 'e_2', 'e_2' ) ), product( 'e_1', 'e_1',
% 0.66/1.06 'e_1' ) ] )
% 0.66/1.06 , clause( 101, [ ~( product( 'e_2', 'e_2', 'e_2' ) ), ~( product( 'e_1',
% 0.66/1.06 'e_1', 'e_2' ) ) ] )
% 0.66/1.06 , 1, clause( 24, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1',
% 0.66/1.06 'e_2' ) ] )
% 0.66/1.06 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 resolution(
% 0.66/1.06 clause( 227, [ ~( product( 'e_2', 'e_2', 'e_2' ) ) ] )
% 0.66/1.06 , clause( 109, [ ~( product( 'e_1', 'e_1', 'e_1' ) ) ] )
% 0.66/1.06 , 0, clause( 226, [ ~( product( 'e_2', 'e_2', 'e_2' ) ), product( 'e_1',
% 0.66/1.06 'e_1', 'e_1' ) ] )
% 0.66/1.06 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 110, [ ~( product( 'e_2', 'e_2', 'e_2' ) ) ] )
% 0.66/1.06 , clause( 227, [ ~( product( 'e_2', 'e_2', 'e_2' ) ) ] )
% 0.66/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 resolution(
% 0.66/1.06 clause( 228, [ product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.66/1.06 , clause( 110, [ ~( product( 'e_2', 'e_2', 'e_2' ) ) ] )
% 0.66/1.06 , 0, clause( 35, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2',
% 0.66/1.06 'e_2' ) ] )
% 0.66/1.06 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 111, [ product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.66/1.06 , clause( 228, [ product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.66/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 resolution(
% 0.66/1.06 clause( 229, [ equalish( 'e_2', 'e_1' ) ] )
% 0.66/1.06 , clause( 99, [ equalish( X, 'e_1' ), ~( product( 'e_2', X, 'e_1' ) ) ] )
% 0.66/1.06 , 1, clause( 111, [ product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.66/1.06 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 resolution(
% 0.66/1.06 clause( 230, [] )
% 0.66/1.06 , clause( 3, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.66/1.06 , 0, clause( 229, [ equalish( 'e_2', 'e_1' ) ] )
% 0.66/1.06 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 113, [] )
% 0.66/1.06 , clause( 230, [] )
% 0.66/1.06 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 end.
% 0.66/1.06
% 0.66/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.66/1.06
% 0.66/1.06 Memory use:
% 0.66/1.06
% 0.66/1.06 space for terms: 1771
% 0.66/1.06 space for clauses: 5221
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 clauses generated: 368
% 0.66/1.06 clauses kept: 114
% 0.66/1.06 clauses selected: 74
% 0.66/1.06 clauses deleted: 5
% 0.66/1.06 clauses inuse deleted: 0
% 0.66/1.06
% 0.66/1.06 subsentry: 2529
% 0.66/1.06 literals s-matched: 1567
% 0.66/1.06 literals matched: 915
% 0.66/1.06 full subsumption: 618
% 0.66/1.06
% 0.66/1.06 checksum: -81306
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 Bliksem ended
%------------------------------------------------------------------------------