TSTP Solution File: GRP131-2.002 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP131-2.002 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 07:35:26 EDT 2022
% Result : Unsatisfiable 0.51s 1.14s
% Output : Refutation 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP131-2.002 : TPTP v8.1.0. Released v1.2.0.
% 0.08/0.14 % Command : bliksem %s
% 0.15/0.36 % Computer : n018.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % DateTime : Mon Jun 13 11:52:27 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.51/1.14 *** allocated 10000 integers for termspace/termends
% 0.51/1.14 *** allocated 10000 integers for clauses
% 0.51/1.14 *** allocated 10000 integers for justifications
% 0.51/1.14 Bliksem 1.12
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 Automatic Strategy Selection
% 0.51/1.14
% 0.51/1.14 Clauses:
% 0.51/1.14 [
% 0.51/1.14 [ next( 'e_1', 'e_2' ) ],
% 0.51/1.14 [ greater( 'e_2', 'e_1' ) ],
% 0.51/1.14 [ ~( product( X, 'e_1', Y ) ), ~( next( X, Z ) ), ~( greater( Y, Z ) ) ]
% 0.51/1.14 ,
% 0.51/1.14 [ 'group_element'( 'e_1' ) ],
% 0.51/1.14 [ 'group_element'( 'e_2' ) ],
% 0.51/1.14 [ ~( equalish( 'e_1', 'e_2' ) ) ],
% 0.51/1.14 [ ~( equalish( 'e_2', 'e_1' ) ) ],
% 0.51/1.14 [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ), product( X, Y,
% 0.51/1.14 'e_1' ), product( X, Y, 'e_2' ) ],
% 0.51/1.14 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish( Z, T ) ]
% 0.51/1.14 ,
% 0.51/1.14 [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish( Y, T ) ]
% 0.51/1.14 ,
% 0.51/1.14 [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish( X, T ) ]
% 0.51/1.14 ,
% 0.51/1.14 [ ~( product( X, Y, Z ) ), ~( product( T, U, Z ) ), ~( product( W, Y, X
% 0.51/1.14 ) ), ~( product( W, U, T ) ), equalish( X, T ) ],
% 0.51/1.14 [ ~( product( X, Y, Z ) ), ~( product( T, U, Z ) ), ~( product( W, Y, X
% 0.51/1.14 ) ), ~( product( W, U, T ) ), equalish( Y, U ) ]
% 0.51/1.14 ] .
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 percentage equality = 0.000000, percentage horn = 0.923077
% 0.51/1.14 This is a near-Horn, non-equality problem
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 Options Used:
% 0.51/1.14
% 0.51/1.14 useres = 1
% 0.51/1.14 useparamod = 0
% 0.51/1.14 useeqrefl = 0
% 0.51/1.14 useeqfact = 0
% 0.51/1.14 usefactor = 1
% 0.51/1.14 usesimpsplitting = 0
% 0.51/1.14 usesimpdemod = 0
% 0.51/1.14 usesimpres = 4
% 0.51/1.14
% 0.51/1.14 resimpinuse = 1000
% 0.51/1.14 resimpclauses = 20000
% 0.51/1.14 substype = standard
% 0.51/1.14 backwardsubs = 1
% 0.51/1.14 selectoldest = 5
% 0.51/1.14
% 0.51/1.14 litorderings [0] = split
% 0.51/1.14 litorderings [1] = liftord
% 0.51/1.14
% 0.51/1.14 termordering = none
% 0.51/1.14
% 0.51/1.14 litapriori = 1
% 0.51/1.14 termapriori = 0
% 0.51/1.14 litaposteriori = 0
% 0.51/1.14 termaposteriori = 0
% 0.51/1.14 demodaposteriori = 0
% 0.51/1.14 ordereqreflfact = 0
% 0.51/1.14
% 0.51/1.14 litselect = negative
% 0.51/1.14
% 0.51/1.14 maxweight = 30000
% 0.51/1.14 maxdepth = 30000
% 0.51/1.14 maxlength = 115
% 0.51/1.14 maxnrvars = 195
% 0.51/1.14 excuselevel = 0
% 0.51/1.14 increasemaxweight = 0
% 0.51/1.14
% 0.51/1.14 maxselected = 10000000
% 0.51/1.14 maxnrclauses = 10000000
% 0.51/1.14
% 0.51/1.14 showgenerated = 0
% 0.51/1.14 showkept = 0
% 0.51/1.14 showselected = 0
% 0.51/1.14 showdeleted = 0
% 0.51/1.14 showresimp = 1
% 0.51/1.14 showstatus = 2000
% 0.51/1.14
% 0.51/1.14 prologoutput = 1
% 0.51/1.14 nrgoals = 5000000
% 0.51/1.14 totalproof = 1
% 0.51/1.14
% 0.51/1.14 Symbols occurring in the translation:
% 0.51/1.14
% 0.51/1.14 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.51/1.14 . [1, 2] (w:1, o:27, a:1, s:1, b:0),
% 0.51/1.14 ! [4, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.51/1.14 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.51/1.14 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.51/1.14 'e_1' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.51/1.14 'e_2' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.51/1.14 next [41, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.51/1.14 greater [42, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.51/1.14 product [45, 3] (w:1, o:55, a:1, s:1, b:0),
% 0.51/1.14 'group_element' [47, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.51/1.14 equalish [48, 2] (w:1, o:54, a:1, s:1, b:0).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 Starting Search:
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 Bliksems!, er is een bewijs:
% 0.51/1.14 % SZS status Unsatisfiable
% 0.51/1.14 % SZS output start Refutation
% 0.51/1.14
% 0.51/1.14 clause( 3, [ 'group_element'( 'e_1' ) ] )
% 0.51/1.14 .
% 0.51/1.14 clause( 4, [ 'group_element'( 'e_2' ) ] )
% 0.51/1.14 .
% 0.51/1.14 clause( 5, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.51/1.14 .
% 0.51/1.14 clause( 6, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.51/1.14 .
% 0.51/1.14 clause( 7, [ ~( 'group_element'( X ) ), product( X, Y, 'e_2' ), product( X
% 0.51/1.14 , Y, 'e_1' ), ~( 'group_element'( Y ) ) ] )
% 0.51/1.14 .
% 0.51/1.14 clause( 9, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T, Z
% 0.51/1.14 ) ) ] )
% 0.51/1.14 .
% 0.51/1.14 clause( 10, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y,
% 0.51/1.14 Z ) ) ] )
% 0.51/1.14 .
% 0.51/1.14 clause( 12, [ equalish( Y, U ), ~( product( W, Y, X ) ), ~( product( T, U,
% 0.51/1.14 Z ) ), ~( product( X, Y, Z ) ), ~( product( W, U, T ) ) ] )
% 0.51/1.14 .
% 0.51/1.14 clause( 22, [ product( X, 'e_1', 'e_2' ), product( X, 'e_1', 'e_1' ), ~(
% 0.51/1.14 'group_element'( X ) ) ] )
% 0.51/1.14 .
% 0.51/1.14 clause( 23, [ product( X, 'e_2', 'e_2' ), product( X, 'e_2', 'e_1' ), ~(
% 0.51/1.14 'group_element'( X ) ) ] )
% 0.51/1.14 .
% 0.51/1.14 clause( 24, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1', 'e_2'
% 0.51/1.14 ) ] )
% 0.51/1.14 .
% 0.51/1.14 clause( 25, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2'
% 0.51/1.14 ) ] )
% 0.51/1.14 .
% 0.51/1.14 clause( 34, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_2'
% 0.51/1.14 ) ] )
% 0.51/1.14 .
% 0.51/1.14 clause( 35, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2'
% 0.51/1.14 ) ] )
% 0.51/1.14 .
% 0.51/1.14 clause( 40, [ equalish( X, 'e_2' ), product( 'e_2', 'e_2', 'e_1' ), ~(
% 0.51/1.14 product( X, 'e_2', 'e_2' ) ) ] )
% 0.51/1.14 .
% 0.51/1.14 clause( 42, [ equalish( X, 'e_2' ), product( 'e_2', 'e_1', 'e_1' ), ~(
% 0.51/1.14 product( X, 'e_1', 'e_2' ) ) ] )
% 0.51/1.14 .
% 0.51/1.14 clause( 44, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.51/1.14 ) ] )
% 0.51/1.14 .
% 0.51/1.14 clause( 45, [ equalish( X, 'e_2' ), product( 'e_1', 'e_2', 'e_1' ), ~(
% 0.51/1.14 product( X, 'e_2', 'e_1' ) ) ] )
% 0.51/1.14 .
% 0.51/1.14 clause( 46, [ equalish( X, 'e_2' ), product( 'e_1', 'e_2', 'e_1' ), ~(
% 0.51/1.14 product( 'e_2', X, 'e_1' ) ) ] )
% 0.51/1.14 .
% 0.51/1.14 clause( 56, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_1'
% 0.51/1.14 ) ] )
% 0.51/1.14 .
% 0.51/1.14 clause( 58, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_2', 'e_1'
% 0.51/1.14 ) ] )
% 0.51/1.14 .
% 0.51/1.14 clause( 63, [ equalish( X, 'e_1' ), ~( product( 'e_1', 'e_1', Z ) ), ~(
% 0.51/1.14 product( 'e_2', X, Y ) ), product( 'e_1', 'e_1', 'e_1' ), ~( product( Y,
% 0.51/1.14 X, Z ) ) ] )
% 0.51/1.14 .
% 0.51/1.14 clause( 66, [ equalish( X, 'e_2' ), ~( product( 'e_2', 'e_2', Z ) ), ~(
% 0.51/1.14 product( 'e_1', X, Y ) ), product( 'e_1', 'e_2', 'e_1' ), ~( product( Y,
% 0.51/1.14 X, Z ) ) ] )
% 0.51/1.14 .
% 0.51/1.14 clause( 70, [ equalish( X, 'e_2' ), product( 'e_1', 'e_2', 'e_1' ), ~(
% 0.51/1.14 product( 'e_1', X, 'e_1' ) ) ] )
% 0.51/1.14 .
% 0.51/1.14 clause( 72, [ equalish( X, 'e_1' ), product( 'e_1', 'e_1', 'e_1' ), ~(
% 0.51/1.14 product( 'e_2', X, 'e_2' ) ) ] )
% 0.51/1.14 .
% 0.51/1.14 clause( 75, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.51/1.14 .
% 0.51/1.14 clause( 79, [ product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.51/1.14 .
% 0.51/1.14 clause( 82, [ equalish( X, 'e_1' ), ~( product( X, 'e_2', 'e_1' ) ) ] )
% 0.51/1.14 .
% 0.51/1.14 clause( 83, [ equalish( X, 'e_2' ), ~( product( 'e_1', X, 'e_1' ) ) ] )
% 0.51/1.14 .
% 0.51/1.14 clause( 90, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.51/1.14 ) ] )
% 0.51/1.14 .
% 0.51/1.14 clause( 92, [ product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.51/1.14 .
% 0.51/1.14 clause( 93, [] )
% 0.51/1.14 .
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 % SZS output end Refutation
% 0.51/1.14 found a proof!
% 0.51/1.14
% 0.51/1.14 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.51/1.14
% 0.51/1.14 initialclauses(
% 0.51/1.14 [ clause( 95, [ next( 'e_1', 'e_2' ) ] )
% 0.51/1.14 , clause( 96, [ greater( 'e_2', 'e_1' ) ] )
% 0.51/1.14 , clause( 97, [ ~( product( X, 'e_1', Y ) ), ~( next( X, Z ) ), ~( greater(
% 0.51/1.14 Y, Z ) ) ] )
% 0.51/1.14 , clause( 98, [ 'group_element'( 'e_1' ) ] )
% 0.51/1.14 , clause( 99, [ 'group_element'( 'e_2' ) ] )
% 0.51/1.14 , clause( 100, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.51/1.14 , clause( 101, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.51/1.14 , clause( 102, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.51/1.14 product( X, Y, 'e_1' ), product( X, Y, 'e_2' ) ] )
% 0.51/1.14 , clause( 103, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish(
% 0.51/1.14 Z, T ) ] )
% 0.51/1.14 , clause( 104, [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish(
% 0.51/1.14 Y, T ) ] )
% 0.51/1.14 , clause( 105, [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish(
% 0.51/1.14 X, T ) ] )
% 0.51/1.14 , clause( 106, [ ~( product( X, Y, Z ) ), ~( product( T, U, Z ) ), ~(
% 0.51/1.14 product( W, Y, X ) ), ~( product( W, U, T ) ), equalish( X, T ) ] )
% 0.51/1.14 , clause( 107, [ ~( product( X, Y, Z ) ), ~( product( T, U, Z ) ), ~(
% 0.51/1.14 product( W, Y, X ) ), ~( product( W, U, T ) ), equalish( Y, U ) ] )
% 0.51/1.14 ] ).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 subsumption(
% 0.51/1.14 clause( 3, [ 'group_element'( 'e_1' ) ] )
% 0.51/1.14 , clause( 98, [ 'group_element'( 'e_1' ) ] )
% 0.51/1.14 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 subsumption(
% 0.51/1.14 clause( 4, [ 'group_element'( 'e_2' ) ] )
% 0.51/1.14 , clause( 99, [ 'group_element'( 'e_2' ) ] )
% 0.51/1.14 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 subsumption(
% 0.51/1.14 clause( 5, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.51/1.14 , clause( 100, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.51/1.14 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 subsumption(
% 0.51/1.14 clause( 6, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.51/1.14 , clause( 101, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.51/1.14 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 subsumption(
% 0.51/1.14 clause( 7, [ ~( 'group_element'( X ) ), product( X, Y, 'e_2' ), product( X
% 0.51/1.14 , Y, 'e_1' ), ~( 'group_element'( Y ) ) ] )
% 0.51/1.14 , clause( 102, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.51/1.14 product( X, Y, 'e_1' ), product( X, Y, 'e_2' ) ] )
% 0.51/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.51/1.14 ), ==>( 1, 3 ), ==>( 2, 2 ), ==>( 3, 1 )] ) ).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 subsumption(
% 0.51/1.14 clause( 9, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T, Z
% 0.51/1.14 ) ) ] )
% 0.51/1.14 , clause( 104, [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish(
% 0.51/1.14 Y, T ) ] )
% 0.51/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.51/1.14 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 subsumption(
% 0.51/1.14 clause( 10, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y,
% 0.51/1.14 Z ) ) ] )
% 0.51/1.14 , clause( 105, [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish(
% 0.51/1.14 X, T ) ] )
% 0.51/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.51/1.14 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 subsumption(
% 0.51/1.14 clause( 12, [ equalish( Y, U ), ~( product( W, Y, X ) ), ~( product( T, U,
% 0.51/1.14 Z ) ), ~( product( X, Y, Z ) ), ~( product( W, U, T ) ) ] )
% 0.51/1.14 , clause( 107, [ ~( product( X, Y, Z ) ), ~( product( T, U, Z ) ), ~(
% 0.51/1.14 product( W, Y, X ) ), ~( product( W, U, T ) ), equalish( Y, U ) ] )
% 0.51/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.51/1.14 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 2 ), ==>( 2
% 0.51/1.14 , 1 ), ==>( 3, 4 ), ==>( 4, 0 )] ) ).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 resolution(
% 0.51/1.14 clause( 136, [ ~( 'group_element'( X ) ), product( X, 'e_1', 'e_2' ),
% 0.51/1.14 product( X, 'e_1', 'e_1' ) ] )
% 0.51/1.14 , clause( 7, [ ~( 'group_element'( X ) ), product( X, Y, 'e_2' ), product(
% 0.51/1.14 X, Y, 'e_1' ), ~( 'group_element'( Y ) ) ] )
% 0.51/1.14 , 3, clause( 3, [ 'group_element'( 'e_1' ) ] )
% 0.51/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_1' )] ), substitution( 1, [] )
% 0.51/1.14 ).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 subsumption(
% 0.51/1.14 clause( 22, [ product( X, 'e_1', 'e_2' ), product( X, 'e_1', 'e_1' ), ~(
% 0.51/1.14 'group_element'( X ) ) ] )
% 0.51/1.14 , clause( 136, [ ~( 'group_element'( X ) ), product( X, 'e_1', 'e_2' ),
% 0.51/1.14 product( X, 'e_1', 'e_1' ) ] )
% 0.51/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.51/1.14 0 ), ==>( 2, 1 )] ) ).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 resolution(
% 0.51/1.14 clause( 138, [ ~( 'group_element'( X ) ), product( X, 'e_2', 'e_2' ),
% 0.51/1.14 product( X, 'e_2', 'e_1' ) ] )
% 0.51/1.14 , clause( 7, [ ~( 'group_element'( X ) ), product( X, Y, 'e_2' ), product(
% 0.51/1.14 X, Y, 'e_1' ), ~( 'group_element'( Y ) ) ] )
% 0.51/1.14 , 3, clause( 4, [ 'group_element'( 'e_2' ) ] )
% 0.51/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_2' )] ), substitution( 1, [] )
% 0.51/1.14 ).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 subsumption(
% 0.51/1.14 clause( 23, [ product( X, 'e_2', 'e_2' ), product( X, 'e_2', 'e_1' ), ~(
% 0.51/1.14 'group_element'( X ) ) ] )
% 0.51/1.14 , clause( 138, [ ~( 'group_element'( X ) ), product( X, 'e_2', 'e_2' ),
% 0.51/1.14 product( X, 'e_2', 'e_1' ) ] )
% 0.51/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.51/1.14 0 ), ==>( 2, 1 )] ) ).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 resolution(
% 0.51/1.14 clause( 139, [ product( 'e_1', 'e_1', 'e_2' ), product( 'e_1', 'e_1', 'e_1'
% 0.51/1.14 ) ] )
% 0.51/1.14 , clause( 22, [ product( X, 'e_1', 'e_2' ), product( X, 'e_1', 'e_1' ), ~(
% 0.51/1.14 'group_element'( X ) ) ] )
% 0.51/1.14 , 2, clause( 3, [ 'group_element'( 'e_1' ) ] )
% 0.51/1.14 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 subsumption(
% 0.51/1.14 clause( 24, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1', 'e_2'
% 0.51/1.14 ) ] )
% 0.51/1.14 , clause( 139, [ product( 'e_1', 'e_1', 'e_2' ), product( 'e_1', 'e_1',
% 0.51/1.14 'e_1' ) ] )
% 0.51/1.14 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.51/1.14 ).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 resolution(
% 0.51/1.14 clause( 140, [ product( 'e_2', 'e_1', 'e_2' ), product( 'e_2', 'e_1', 'e_1'
% 0.51/1.14 ) ] )
% 0.51/1.14 , clause( 22, [ product( X, 'e_1', 'e_2' ), product( X, 'e_1', 'e_1' ), ~(
% 0.51/1.14 'group_element'( X ) ) ] )
% 0.51/1.14 , 2, clause( 4, [ 'group_element'( 'e_2' ) ] )
% 0.51/1.14 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 subsumption(
% 0.51/1.14 clause( 25, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2'
% 0.51/1.14 ) ] )
% 0.51/1.14 , clause( 140, [ product( 'e_2', 'e_1', 'e_2' ), product( 'e_2', 'e_1',
% 0.51/1.14 'e_1' ) ] )
% 0.51/1.14 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.51/1.14 ).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 resolution(
% 0.51/1.14 clause( 141, [ product( 'e_1', 'e_2', 'e_2' ), product( 'e_1', 'e_2', 'e_1'
% 0.51/1.14 ) ] )
% 0.51/1.14 , clause( 23, [ product( X, 'e_2', 'e_2' ), product( X, 'e_2', 'e_1' ), ~(
% 0.51/1.14 'group_element'( X ) ) ] )
% 0.51/1.14 , 2, clause( 3, [ 'group_element'( 'e_1' ) ] )
% 0.51/1.14 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 subsumption(
% 0.51/1.14 clause( 34, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_2'
% 0.51/1.14 ) ] )
% 0.51/1.14 , clause( 141, [ product( 'e_1', 'e_2', 'e_2' ), product( 'e_1', 'e_2',
% 0.51/1.14 'e_1' ) ] )
% 0.51/1.14 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.51/1.14 ).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 resolution(
% 0.51/1.14 clause( 142, [ product( 'e_2', 'e_2', 'e_2' ), product( 'e_2', 'e_2', 'e_1'
% 0.51/1.15 ) ] )
% 0.51/1.15 , clause( 23, [ product( X, 'e_2', 'e_2' ), product( X, 'e_2', 'e_1' ), ~(
% 0.51/1.15 'group_element'( X ) ) ] )
% 0.51/1.15 , 2, clause( 4, [ 'group_element'( 'e_2' ) ] )
% 0.51/1.15 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 subsumption(
% 0.51/1.15 clause( 35, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2'
% 0.51/1.15 ) ] )
% 0.51/1.15 , clause( 142, [ product( 'e_2', 'e_2', 'e_2' ), product( 'e_2', 'e_2',
% 0.51/1.15 'e_1' ) ] )
% 0.51/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.51/1.15 ).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 resolution(
% 0.51/1.15 clause( 146, [ equalish( X, 'e_2' ), ~( product( X, 'e_2', 'e_2' ) ),
% 0.51/1.15 product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.51/1.15 , clause( 10, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.51/1.15 , Z ) ) ] )
% 0.51/1.15 , 2, clause( 35, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2',
% 0.51/1.15 'e_2' ) ] )
% 0.51/1.15 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'e_2' ), :=( Z, 'e_2' ), :=( T,
% 0.51/1.15 'e_2' )] ), substitution( 1, [] )).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 subsumption(
% 0.51/1.15 clause( 40, [ equalish( X, 'e_2' ), product( 'e_2', 'e_2', 'e_1' ), ~(
% 0.51/1.15 product( X, 'e_2', 'e_2' ) ) ] )
% 0.51/1.15 , clause( 146, [ equalish( X, 'e_2' ), ~( product( X, 'e_2', 'e_2' ) ),
% 0.51/1.15 product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.51/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.51/1.15 2 ), ==>( 2, 1 )] ) ).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 resolution(
% 0.51/1.15 clause( 150, [ equalish( X, 'e_2' ), ~( product( X, 'e_1', 'e_2' ) ),
% 0.51/1.15 product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.51/1.15 , clause( 10, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.51/1.15 , Z ) ) ] )
% 0.51/1.15 , 2, clause( 25, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1',
% 0.51/1.15 'e_2' ) ] )
% 0.51/1.15 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'e_1' ), :=( Z, 'e_2' ), :=( T,
% 0.51/1.15 'e_2' )] ), substitution( 1, [] )).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 subsumption(
% 0.51/1.15 clause( 42, [ equalish( X, 'e_2' ), product( 'e_2', 'e_1', 'e_1' ), ~(
% 0.51/1.15 product( X, 'e_1', 'e_2' ) ) ] )
% 0.51/1.15 , clause( 150, [ equalish( X, 'e_2' ), ~( product( X, 'e_1', 'e_2' ) ),
% 0.51/1.15 product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.51/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.51/1.15 2 ), ==>( 2, 1 )] ) ).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 resolution(
% 0.51/1.15 clause( 151, [ equalish( 'e_1', 'e_2' ), product( 'e_2', 'e_2', 'e_1' ),
% 0.51/1.15 product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.51/1.15 , clause( 40, [ equalish( X, 'e_2' ), product( 'e_2', 'e_2', 'e_1' ), ~(
% 0.51/1.15 product( X, 'e_2', 'e_2' ) ) ] )
% 0.51/1.15 , 2, clause( 34, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2',
% 0.51/1.15 'e_2' ) ] )
% 0.51/1.15 , 1, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 resolution(
% 0.51/1.15 clause( 152, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_1'
% 0.51/1.15 ) ] )
% 0.51/1.15 , clause( 5, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.51/1.15 , 0, clause( 151, [ equalish( 'e_1', 'e_2' ), product( 'e_2', 'e_2', 'e_1'
% 0.51/1.15 ), product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.51/1.15 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 subsumption(
% 0.51/1.15 clause( 44, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.51/1.15 ) ] )
% 0.51/1.15 , clause( 152, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_2',
% 0.51/1.15 'e_1' ) ] )
% 0.51/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.51/1.15 ).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 resolution(
% 0.51/1.15 clause( 156, [ equalish( X, 'e_2' ), ~( product( X, 'e_2', 'e_1' ) ),
% 0.51/1.15 product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.51/1.15 , clause( 10, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.51/1.15 , Z ) ) ] )
% 0.51/1.15 , 2, clause( 44, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_2', 'e_2',
% 0.51/1.15 'e_1' ) ] )
% 0.51/1.15 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'e_2' ), :=( Z, 'e_1' ), :=( T,
% 0.51/1.15 'e_2' )] ), substitution( 1, [] )).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 subsumption(
% 0.51/1.15 clause( 45, [ equalish( X, 'e_2' ), product( 'e_1', 'e_2', 'e_1' ), ~(
% 0.51/1.15 product( X, 'e_2', 'e_1' ) ) ] )
% 0.51/1.15 , clause( 156, [ equalish( X, 'e_2' ), ~( product( X, 'e_2', 'e_1' ) ),
% 0.51/1.15 product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.51/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.51/1.15 2 ), ==>( 2, 1 )] ) ).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 resolution(
% 0.51/1.15 clause( 160, [ equalish( X, 'e_2' ), ~( product( 'e_2', X, 'e_1' ) ),
% 0.51/1.15 product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.51/1.15 , clause( 9, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.51/1.15 , Z ) ) ] )
% 0.51/1.15 , 2, clause( 44, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_2', 'e_2',
% 0.51/1.15 'e_1' ) ] )
% 0.51/1.15 , 1, substitution( 0, [ :=( X, 'e_2' ), :=( Y, X ), :=( Z, 'e_1' ), :=( T,
% 0.51/1.15 'e_2' )] ), substitution( 1, [] )).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 subsumption(
% 0.51/1.15 clause( 46, [ equalish( X, 'e_2' ), product( 'e_1', 'e_2', 'e_1' ), ~(
% 0.51/1.15 product( 'e_2', X, 'e_1' ) ) ] )
% 0.51/1.15 , clause( 160, [ equalish( X, 'e_2' ), ~( product( 'e_2', X, 'e_1' ) ),
% 0.51/1.15 product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.51/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.51/1.15 2 ), ==>( 2, 1 )] ) ).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 resolution(
% 0.51/1.15 clause( 161, [ equalish( 'e_1', 'e_2' ), product( 'e_2', 'e_1', 'e_1' ),
% 0.51/1.15 product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.51/1.15 , clause( 42, [ equalish( X, 'e_2' ), product( 'e_2', 'e_1', 'e_1' ), ~(
% 0.51/1.15 product( X, 'e_1', 'e_2' ) ) ] )
% 0.51/1.15 , 2, clause( 24, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1',
% 0.51/1.15 'e_2' ) ] )
% 0.51/1.15 , 1, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 resolution(
% 0.51/1.15 clause( 162, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_1', 'e_1'
% 0.51/1.15 ) ] )
% 0.51/1.15 , clause( 5, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.51/1.15 , 0, clause( 161, [ equalish( 'e_1', 'e_2' ), product( 'e_2', 'e_1', 'e_1'
% 0.51/1.15 ), product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.51/1.15 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 subsumption(
% 0.51/1.15 clause( 56, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_1'
% 0.51/1.15 ) ] )
% 0.51/1.15 , clause( 162, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_1',
% 0.51/1.15 'e_1' ) ] )
% 0.51/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.51/1.15 ).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 resolution(
% 0.51/1.15 clause( 163, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_1' ),
% 0.51/1.15 product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.51/1.15 , clause( 46, [ equalish( X, 'e_2' ), product( 'e_1', 'e_2', 'e_1' ), ~(
% 0.51/1.15 product( 'e_2', X, 'e_1' ) ) ] )
% 0.51/1.15 , 2, clause( 56, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_1',
% 0.51/1.15 'e_1' ) ] )
% 0.51/1.15 , 1, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 resolution(
% 0.51/1.15 clause( 164, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_1', 'e_1'
% 0.51/1.15 ) ] )
% 0.51/1.15 , clause( 5, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.51/1.15 , 0, clause( 163, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_1'
% 0.51/1.15 ), product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.51/1.15 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 subsumption(
% 0.51/1.15 clause( 58, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_2', 'e_1'
% 0.51/1.15 ) ] )
% 0.51/1.15 , clause( 164, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_1',
% 0.51/1.15 'e_1' ) ] )
% 0.51/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.51/1.15 ).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 resolution(
% 0.51/1.15 clause( 172, [ equalish( X, 'e_1' ), ~( product( 'e_2', X, Y ) ), ~(
% 0.51/1.15 product( 'e_1', 'e_1', Z ) ), ~( product( Y, X, Z ) ), product( 'e_1',
% 0.51/1.15 'e_1', 'e_1' ) ] )
% 0.51/1.15 , clause( 12, [ equalish( Y, U ), ~( product( W, Y, X ) ), ~( product( T, U
% 0.51/1.15 , Z ) ), ~( product( X, Y, Z ) ), ~( product( W, U, T ) ) ] )
% 0.51/1.15 , 4, clause( 56, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_1',
% 0.51/1.15 'e_1' ) ] )
% 0.51/1.15 , 1, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, 'e_1' )
% 0.51/1.15 , :=( U, 'e_1' ), :=( W, 'e_2' )] ), substitution( 1, [] )).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 subsumption(
% 0.51/1.15 clause( 63, [ equalish( X, 'e_1' ), ~( product( 'e_1', 'e_1', Z ) ), ~(
% 0.51/1.15 product( 'e_2', X, Y ) ), product( 'e_1', 'e_1', 'e_1' ), ~( product( Y,
% 0.51/1.15 X, Z ) ) ] )
% 0.51/1.15 , clause( 172, [ equalish( X, 'e_1' ), ~( product( 'e_2', X, Y ) ), ~(
% 0.51/1.15 product( 'e_1', 'e_1', Z ) ), ~( product( Y, X, Z ) ), product( 'e_1',
% 0.51/1.15 'e_1', 'e_1' ) ] )
% 0.51/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.51/1.15 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 ), ==>( 3, 4 ),
% 0.51/1.15 ==>( 4, 3 )] ) ).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 resolution(
% 0.51/1.15 clause( 192, [ equalish( X, 'e_2' ), ~( product( 'e_1', X, Y ) ), ~(
% 0.51/1.15 product( 'e_2', 'e_2', Z ) ), ~( product( Y, X, Z ) ), product( 'e_1',
% 0.51/1.15 'e_2', 'e_1' ) ] )
% 0.51/1.15 , clause( 12, [ equalish( Y, U ), ~( product( W, Y, X ) ), ~( product( T, U
% 0.51/1.15 , Z ) ), ~( product( X, Y, Z ) ), ~( product( W, U, T ) ) ] )
% 0.51/1.15 , 4, clause( 34, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2',
% 0.51/1.15 'e_2' ) ] )
% 0.51/1.15 , 1, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, 'e_2' )
% 0.51/1.15 , :=( U, 'e_2' ), :=( W, 'e_1' )] ), substitution( 1, [] )).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 subsumption(
% 0.51/1.15 clause( 66, [ equalish( X, 'e_2' ), ~( product( 'e_2', 'e_2', Z ) ), ~(
% 0.51/1.15 product( 'e_1', X, Y ) ), product( 'e_1', 'e_2', 'e_1' ), ~( product( Y,
% 0.51/1.15 X, Z ) ) ] )
% 0.51/1.15 , clause( 192, [ equalish( X, 'e_2' ), ~( product( 'e_1', X, Y ) ), ~(
% 0.51/1.15 product( 'e_2', 'e_2', Z ) ), ~( product( Y, X, Z ) ), product( 'e_1',
% 0.51/1.15 'e_2', 'e_1' ) ] )
% 0.51/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.51/1.15 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 ), ==>( 3, 4 ),
% 0.51/1.15 ==>( 4, 3 )] ) ).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 factor(
% 0.51/1.15 clause( 206, [ equalish( X, 'e_2' ), ~( product( 'e_2', 'e_2', 'e_1' ) ),
% 0.51/1.15 ~( product( 'e_1', X, 'e_1' ) ), product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.51/1.15 , clause( 66, [ equalish( X, 'e_2' ), ~( product( 'e_2', 'e_2', Z ) ), ~(
% 0.51/1.15 product( 'e_1', X, Y ) ), product( 'e_1', 'e_2', 'e_1' ), ~( product( Y,
% 0.51/1.15 X, Z ) ) ] )
% 0.51/1.15 , 2, 4, substitution( 0, [ :=( X, X ), :=( Y, 'e_1' ), :=( Z, 'e_1' )] )
% 0.51/1.15 ).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 resolution(
% 0.51/1.15 clause( 207, [ equalish( X, 'e_2' ), ~( product( 'e_1', X, 'e_1' ) ),
% 0.51/1.15 product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.51/1.15 , clause( 206, [ equalish( X, 'e_2' ), ~( product( 'e_2', 'e_2', 'e_1' ) )
% 0.51/1.15 , ~( product( 'e_1', X, 'e_1' ) ), product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.51/1.15 , 1, clause( 44, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_2', 'e_2',
% 0.51/1.15 'e_1' ) ] )
% 0.51/1.15 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 factor(
% 0.51/1.15 clause( 208, [ equalish( X, 'e_2' ), ~( product( 'e_1', X, 'e_1' ) ),
% 0.51/1.15 product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.51/1.15 , clause( 207, [ equalish( X, 'e_2' ), ~( product( 'e_1', X, 'e_1' ) ),
% 0.51/1.15 product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.51/1.15 , 2, 3, substitution( 0, [ :=( X, X )] )).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 subsumption(
% 0.51/1.15 clause( 70, [ equalish( X, 'e_2' ), product( 'e_1', 'e_2', 'e_1' ), ~(
% 0.51/1.15 product( 'e_1', X, 'e_1' ) ) ] )
% 0.51/1.15 , clause( 208, [ equalish( X, 'e_2' ), ~( product( 'e_1', X, 'e_1' ) ),
% 0.51/1.15 product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.51/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.51/1.15 2 ), ==>( 2, 1 )] ) ).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 factor(
% 0.51/1.15 clause( 210, [ equalish( X, 'e_1' ), ~( product( 'e_1', 'e_1', 'e_2' ) ),
% 0.51/1.15 ~( product( 'e_2', X, 'e_2' ) ), product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.51/1.15 , clause( 63, [ equalish( X, 'e_1' ), ~( product( 'e_1', 'e_1', Z ) ), ~(
% 0.51/1.15 product( 'e_2', X, Y ) ), product( 'e_1', 'e_1', 'e_1' ), ~( product( Y,
% 0.51/1.15 X, Z ) ) ] )
% 0.51/1.15 , 2, 4, substitution( 0, [ :=( X, X ), :=( Y, 'e_2' ), :=( Z, 'e_2' )] )
% 0.51/1.15 ).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 resolution(
% 0.51/1.15 clause( 211, [ equalish( X, 'e_1' ), ~( product( 'e_2', X, 'e_2' ) ),
% 0.51/1.15 product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.51/1.15 , clause( 210, [ equalish( X, 'e_1' ), ~( product( 'e_1', 'e_1', 'e_2' ) )
% 0.51/1.15 , ~( product( 'e_2', X, 'e_2' ) ), product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.51/1.15 , 1, clause( 24, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1',
% 0.51/1.15 'e_2' ) ] )
% 0.51/1.15 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 factor(
% 0.51/1.15 clause( 212, [ equalish( X, 'e_1' ), ~( product( 'e_2', X, 'e_2' ) ),
% 0.51/1.15 product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.51/1.15 , clause( 211, [ equalish( X, 'e_1' ), ~( product( 'e_2', X, 'e_2' ) ),
% 0.51/1.15 product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.51/1.15 , 2, 3, substitution( 0, [ :=( X, X )] )).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 subsumption(
% 0.51/1.15 clause( 72, [ equalish( X, 'e_1' ), product( 'e_1', 'e_1', 'e_1' ), ~(
% 0.51/1.15 product( 'e_2', X, 'e_2' ) ) ] )
% 0.51/1.15 , clause( 212, [ equalish( X, 'e_1' ), ~( product( 'e_2', X, 'e_2' ) ),
% 0.51/1.15 product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.51/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.51/1.15 2 ), ==>( 2, 1 )] ) ).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 resolution(
% 0.51/1.15 clause( 213, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_1' ),
% 0.51/1.15 product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.51/1.15 , clause( 45, [ equalish( X, 'e_2' ), product( 'e_1', 'e_2', 'e_1' ), ~(
% 0.51/1.15 product( X, 'e_2', 'e_1' ) ) ] )
% 0.51/1.15 , 2, clause( 58, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_2',
% 0.51/1.15 'e_1' ) ] )
% 0.51/1.15 , 1, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 resolution(
% 0.51/1.15 clause( 215, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_1' ),
% 0.51/1.15 equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.51/1.15 , clause( 70, [ equalish( X, 'e_2' ), product( 'e_1', 'e_2', 'e_1' ), ~(
% 0.51/1.15 product( 'e_1', X, 'e_1' ) ) ] )
% 0.51/1.15 , 2, clause( 213, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_1'
% 0.51/1.15 ), product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.51/1.15 , 2, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 factor(
% 0.51/1.15 clause( 217, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_1' ),
% 0.51/1.15 equalish( 'e_1', 'e_2' ) ] )
% 0.51/1.15 , clause( 215, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_1' ),
% 0.51/1.15 equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.51/1.15 , 1, 3, substitution( 0, [] )).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 factor(
% 0.51/1.15 clause( 218, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_1' ) ]
% 0.51/1.15 )
% 0.51/1.15 , clause( 217, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_1' ),
% 0.51/1.15 equalish( 'e_1', 'e_2' ) ] )
% 0.51/1.15 , 0, 2, substitution( 0, [] )).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 subsumption(
% 0.51/1.15 clause( 75, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.51/1.15 , clause( 218, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_1' ) ]
% 0.51/1.15 )
% 0.51/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.51/1.15 ).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 resolution(
% 0.51/1.15 clause( 219, [ product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.51/1.15 , clause( 5, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.51/1.15 , 0, clause( 75, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_1' )
% 0.51/1.15 ] )
% 0.51/1.15 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 subsumption(
% 0.51/1.15 clause( 79, [ product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.51/1.15 , clause( 219, [ product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.51/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 resolution(
% 0.51/1.15 clause( 221, [ equalish( X, 'e_1' ), ~( product( X, 'e_2', 'e_1' ) ) ] )
% 0.51/1.15 , clause( 10, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.51/1.15 , Z ) ) ] )
% 0.51/1.15 , 2, clause( 79, [ product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.51/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_2' ), :=( Z, 'e_1' ), :=( T,
% 0.51/1.15 'e_1' )] ), substitution( 1, [] )).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 subsumption(
% 0.51/1.15 clause( 82, [ equalish( X, 'e_1' ), ~( product( X, 'e_2', 'e_1' ) ) ] )
% 0.51/1.15 , clause( 221, [ equalish( X, 'e_1' ), ~( product( X, 'e_2', 'e_1' ) ) ] )
% 0.51/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.51/1.15 1 )] ) ).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 resolution(
% 0.51/1.15 clause( 223, [ equalish( X, 'e_2' ), ~( product( 'e_1', X, 'e_1' ) ) ] )
% 0.51/1.15 , clause( 9, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.51/1.15 , Z ) ) ] )
% 0.51/1.15 , 2, clause( 79, [ product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.51/1.15 , 0, substitution( 0, [ :=( X, 'e_1' ), :=( Y, X ), :=( Z, 'e_1' ), :=( T,
% 0.51/1.15 'e_2' )] ), substitution( 1, [] )).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 subsumption(
% 0.51/1.15 clause( 83, [ equalish( X, 'e_2' ), ~( product( 'e_1', X, 'e_1' ) ) ] )
% 0.51/1.15 , clause( 223, [ equalish( X, 'e_2' ), ~( product( 'e_1', X, 'e_1' ) ) ] )
% 0.51/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.51/1.15 1 )] ) ).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 resolution(
% 0.51/1.15 clause( 224, [ equalish( 'e_2', 'e_1' ), product( 'e_1', 'e_1', 'e_1' ),
% 0.51/1.15 product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.51/1.15 , clause( 72, [ equalish( X, 'e_1' ), product( 'e_1', 'e_1', 'e_1' ), ~(
% 0.51/1.15 product( 'e_2', X, 'e_2' ) ) ] )
% 0.51/1.15 , 2, clause( 35, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2',
% 0.51/1.15 'e_2' ) ] )
% 0.51/1.15 , 1, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 resolution(
% 0.51/1.15 clause( 225, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.51/1.15 ) ] )
% 0.51/1.15 , clause( 6, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.51/1.15 , 0, clause( 224, [ equalish( 'e_2', 'e_1' ), product( 'e_1', 'e_1', 'e_1'
% 0.51/1.15 ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.51/1.15 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 subsumption(
% 0.51/1.15 clause( 90, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.51/1.15 ) ] )
% 0.51/1.15 , clause( 225, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2',
% 0.51/1.15 'e_1' ) ] )
% 0.51/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.51/1.15 ).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 resolution(
% 0.51/1.15 clause( 226, [ equalish( 'e_2', 'e_1' ), product( 'e_1', 'e_1', 'e_1' ) ]
% 0.51/1.15 )
% 0.51/1.15 , clause( 82, [ equalish( X, 'e_1' ), ~( product( X, 'e_2', 'e_1' ) ) ] )
% 0.51/1.15 , 1, clause( 90, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2',
% 0.51/1.15 'e_1' ) ] )
% 0.51/1.15 , 1, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 resolution(
% 0.51/1.15 clause( 227, [ product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.51/1.15 , clause( 6, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.51/1.15 , 0, clause( 226, [ equalish( 'e_2', 'e_1' ), product( 'e_1', 'e_1', 'e_1'
% 0.51/1.15 ) ] )
% 0.51/1.15 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 subsumption(
% 0.51/1.15 clause( 92, [ product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.51/1.15 , clause( 227, [ product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.51/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 resolution(
% 0.51/1.15 clause( 228, [ equalish( 'e_1', 'e_2' ) ] )
% 0.51/1.15 , clause( 83, [ equalish( X, 'e_2' ), ~( product( 'e_1', X, 'e_1' ) ) ] )
% 0.51/1.15 , 1, clause( 92, [ product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.51/1.15 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 resolution(
% 0.51/1.15 clause( 229, [] )
% 0.51/1.15 , clause( 5, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.51/1.15 , 0, clause( 228, [ equalish( 'e_1', 'e_2' ) ] )
% 0.51/1.15 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 subsumption(
% 0.51/1.15 clause( 93, [] )
% 0.51/1.15 , clause( 229, [] )
% 0.51/1.15 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 end.
% 0.51/1.15
% 0.51/1.15 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.51/1.15
% 0.51/1.15 Memory use:
% 0.51/1.15
% 0.51/1.15 space for terms: 1540
% 0.51/1.15 space for clauses: 4252
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 clauses generated: 219
% 0.51/1.15 clauses kept: 94
% 0.51/1.15 clauses selected: 45
% 0.51/1.15 clauses deleted: 5
% 0.51/1.15 clauses inuse deleted: 0
% 0.51/1.15
% 0.51/1.15 subsentry: 1934
% 0.51/1.15 literals s-matched: 1016
% 0.51/1.15 literals matched: 594
% 0.51/1.15 full subsumption: 398
% 0.51/1.15
% 0.51/1.15 checksum: 717210952
% 0.51/1.15
% 0.51/1.15
% 0.51/1.15 Bliksem ended
%------------------------------------------------------------------------------