TSTP Solution File: GRP124-4.004 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP124-4.004 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 07:35:05 EDT 2022
% Result : Unsatisfiable 0.73s 1.36s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP124-4.004 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Tue Jun 14 07:29:54 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.73/1.36 *** allocated 10000 integers for termspace/termends
% 0.73/1.36 *** allocated 10000 integers for clauses
% 0.73/1.36 *** allocated 10000 integers for justifications
% 0.73/1.36 Bliksem 1.12
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 Automatic Strategy Selection
% 0.73/1.36
% 0.73/1.36 Clauses:
% 0.73/1.36 [
% 0.73/1.36 [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ), product( 'e_1',
% 0.73/1.36 X, Y ), product( 'e_2', X, Y ), product( 'e_3', X, Y ), product( 'e_4', X
% 0.73/1.36 , Y ) ],
% 0.73/1.36 [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ), product( X,
% 0.73/1.36 'e_1', Y ), product( X, 'e_2', Y ), product( X, 'e_3', Y ), product( X,
% 0.73/1.36 'e_4', Y ) ],
% 0.73/1.36 [ 'group_element'( 'e_1' ) ],
% 0.73/1.36 [ 'group_element'( 'e_2' ) ],
% 0.73/1.36 [ 'group_element'( 'e_3' ) ],
% 0.73/1.36 [ 'group_element'( 'e_4' ) ],
% 0.73/1.36 [ ~( equalish( 'e_1', 'e_2' ) ) ],
% 0.73/1.36 [ ~( equalish( 'e_1', 'e_3' ) ) ],
% 0.73/1.36 [ ~( equalish( 'e_1', 'e_4' ) ) ],
% 0.73/1.36 [ ~( equalish( 'e_2', 'e_1' ) ) ],
% 0.73/1.36 [ ~( equalish( 'e_2', 'e_3' ) ) ],
% 0.73/1.36 [ ~( equalish( 'e_2', 'e_4' ) ) ],
% 0.73/1.36 [ ~( equalish( 'e_3', 'e_1' ) ) ],
% 0.73/1.36 [ ~( equalish( 'e_3', 'e_2' ) ) ],
% 0.73/1.36 [ ~( equalish( 'e_3', 'e_4' ) ) ],
% 0.73/1.36 [ ~( equalish( 'e_4', 'e_1' ) ) ],
% 0.73/1.36 [ ~( equalish( 'e_4', 'e_2' ) ) ],
% 0.73/1.36 [ ~( equalish( 'e_4', 'e_3' ) ) ],
% 0.73/1.36 [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ), product( X, Y,
% 0.73/1.36 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ), product( X, Y,
% 0.73/1.36 'e_4' ) ],
% 0.73/1.36 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish( Z, T ) ]
% 0.73/1.36 ,
% 0.73/1.36 [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish( Y, T ) ]
% 0.73/1.36 ,
% 0.73/1.36 [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish( X, T ) ]
% 0.73/1.36 ,
% 0.73/1.36 [ product( X, X, X ) ],
% 0.73/1.36 [ ~( product( X, Y, Z ) ), ~( product( T, U, Z ) ), ~( product( W, X, Y
% 0.73/1.36 ) ), ~( product( W, T, U ) ), equalish( X, T ) ],
% 0.73/1.36 [ ~( product( X, Y, Z ) ), ~( product( T, U, Z ) ), ~( product( W, X, Y
% 0.73/1.36 ) ), ~( product( W, T, U ) ), equalish( Y, U ) ]
% 0.73/1.36 ] .
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 percentage equality = 0.000000, percentage horn = 0.880000
% 0.73/1.36 This a non-horn, non-equality problem
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 Options Used:
% 0.73/1.36
% 0.73/1.36 useres = 1
% 0.73/1.36 useparamod = 0
% 0.73/1.36 useeqrefl = 0
% 0.73/1.36 useeqfact = 0
% 0.73/1.36 usefactor = 1
% 0.73/1.36 usesimpsplitting = 0
% 0.73/1.36 usesimpdemod = 0
% 0.73/1.36 usesimpres = 3
% 0.73/1.36
% 0.73/1.36 resimpinuse = 1000
% 0.73/1.36 resimpclauses = 20000
% 0.73/1.36 substype = standard
% 0.73/1.36 backwardsubs = 1
% 0.73/1.36 selectoldest = 5
% 0.73/1.36
% 0.73/1.36 litorderings [0] = split
% 0.73/1.36 litorderings [1] = liftord
% 0.73/1.36
% 0.73/1.36 termordering = none
% 0.73/1.36
% 0.73/1.36 litapriori = 1
% 0.73/1.36 termapriori = 0
% 0.73/1.36 litaposteriori = 0
% 0.73/1.36 termaposteriori = 0
% 0.73/1.36 demodaposteriori = 0
% 0.73/1.36 ordereqreflfact = 0
% 0.73/1.36
% 0.73/1.36 litselect = none
% 0.73/1.36
% 0.73/1.36 maxweight = 15
% 0.73/1.36 maxdepth = 30000
% 0.73/1.36 maxlength = 115
% 0.73/1.36 maxnrvars = 195
% 0.73/1.36 excuselevel = 1
% 0.73/1.36 increasemaxweight = 1
% 0.73/1.36
% 0.73/1.36 maxselected = 10000000
% 0.73/1.36 maxnrclauses = 10000000
% 0.73/1.36
% 0.73/1.36 showgenerated = 0
% 0.73/1.36 showkept = 0
% 0.73/1.36 showselected = 0
% 0.73/1.36 showdeleted = 0
% 0.73/1.36 showresimp = 1
% 0.73/1.36 showstatus = 2000
% 0.73/1.36
% 0.73/1.36 prologoutput = 1
% 0.73/1.36 nrgoals = 5000000
% 0.73/1.36 totalproof = 1
% 0.73/1.36
% 0.73/1.36 Symbols occurring in the translation:
% 0.73/1.36
% 0.73/1.36 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.36 . [1, 2] (w:1, o:29, a:1, s:1, b:0),
% 0.73/1.36 ! [4, 1] (w:0, o:23, a:1, s:1, b:0),
% 0.73/1.36 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.36 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.36 'group_element' [40, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.73/1.36 'e_1' [42, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.73/1.36 product [43, 3] (w:1, o:55, a:1, s:1, b:0),
% 0.73/1.36 'e_2' [44, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.73/1.36 'e_3' [45, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.73/1.36 'e_4' [46, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.73/1.36 equalish [47, 2] (w:1, o:54, a:1, s:1, b:0).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 Starting Search:
% 0.73/1.36
% 0.73/1.36 Resimplifying inuse:
% 0.73/1.36 Done
% 0.73/1.36
% 0.73/1.36 Failed to find proof!
% 0.73/1.36 maxweight = 15
% 0.73/1.36 maxnrclauses = 10000000
% 0.73/1.36 Generated: 5413
% 0.73/1.36 Kept: 96
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 The strategy used was not complete!
% 0.73/1.36
% 0.73/1.36 Increased maxweight to 16
% 0.73/1.36
% 0.73/1.36 Starting Search:
% 0.73/1.36
% 0.73/1.36 Resimplifying inuse:
% 0.73/1.36 Done
% 0.73/1.36
% 0.73/1.36 Failed to find proof!
% 0.73/1.36 maxweight = 16
% 0.73/1.36 maxnrclauses = 10000000
% 0.73/1.36 Generated: 5413
% 0.73/1.36 Kept: 96
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 The strategy used was not complete!
% 0.73/1.36
% 0.73/1.36 Increased maxweight to 17
% 0.73/1.36
% 0.73/1.36 Starting Search:
% 0.73/1.36
% 0.73/1.36 Resimplifying inuse:
% 0.73/1.36 Done
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 Bliksems!, er is een bewijs:
% 0.73/1.36 % SZS status Unsatisfiable
% 0.73/1.36 % SZS output start Refutation
% 0.73/1.36
% 0.73/1.36 clause( 0, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ), product(
% 0.73/1.36 'e_1', X, Y ), product( 'e_2', X, Y ), product( 'e_3', X, Y ), product(
% 0.73/1.36 'e_4', X, Y ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 1, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ), product(
% 0.73/1.36 X, 'e_1', Y ), product( X, 'e_2', Y ), product( X, 'e_3', Y ), product( X
% 0.73/1.36 , 'e_4', Y ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 2, [ 'group_element'( 'e_1' ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 3, [ 'group_element'( 'e_2' ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 4, [ 'group_element'( 'e_3' ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 5, [ 'group_element'( 'e_4' ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 6, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 8, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 9, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 11, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 12, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 13, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 14, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 15, [ ~( equalish( 'e_4', 'e_1' ) ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 16, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 17, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 18, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ), product(
% 0.73/1.36 X, Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ), product( X
% 0.73/1.36 , Y, 'e_4' ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 19, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y,
% 0.73/1.36 T ) ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 20, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T,
% 0.73/1.36 Z ) ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 21, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y,
% 0.73/1.36 Z ) ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 22, [ product( X, X, X ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 23, [ equalish( X, T ), ~( product( W, X, Y ) ), ~( product( W, T,
% 0.73/1.36 U ) ), ~( product( X, Y, Z ) ), ~( product( T, U, Z ) ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 24, [ equalish( Y, U ), ~( product( W, X, Y ) ), ~( product( W, T,
% 0.73/1.36 U ) ), ~( product( X, Y, Z ) ), ~( product( T, U, Z ) ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 34, [ equalish( X, Y ), ~( product( X, Z, Y ) ), ~( product( Y, X,
% 0.73/1.36 Z ) ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 36, [ equalish( X, Y ), ~( product( Z, Y, X ) ), ~( product( X, Z,
% 0.73/1.36 Y ) ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 39, [ equalish( X, Y ), ~( product( Z, X, Y ) ), ~( product( Y, Z,
% 0.73/1.36 X ) ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 42, [ equalish( X, Y ), ~( product( Y, X, X ) ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 43, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 50, [ equalish( X, Y ), ~( product( X, X, Y ) ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 51, [ equalish( X, Y ), ~( product( Y, Y, X ) ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 57, [ ~( 'group_element'( X ) ), equalish( 'e_4', X ), product(
% 0.73/1.36 'e_4', 'e_1', X ), product( 'e_4', 'e_2', X ), product( 'e_4', 'e_3', X )
% 0.73/1.36 ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 60, [ ~( 'group_element'( X ) ), equalish( X, 'e_4' ), product(
% 0.73/1.36 'e_4', 'e_1', X ), product( 'e_4', 'e_2', X ), product( 'e_4', 'e_3', X )
% 0.73/1.36 ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 61, [ ~( 'group_element'( X ) ), equalish( X, 'e_4' ), product(
% 0.73/1.36 'e_1', 'e_4', X ), product( 'e_2', 'e_4', X ), product( 'e_3', 'e_4', X )
% 0.73/1.36 ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 66, [ ~( 'group_element'( X ) ), equalish( X, 'e_4' ), product( X,
% 0.73/1.36 'e_1', 'e_4' ), product( X, 'e_2', 'e_4' ), product( X, 'e_3', 'e_4' ) ]
% 0.73/1.36 )
% 0.73/1.36 .
% 0.73/1.36 clause( 71, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 79, [ ~( 'group_element'( X ) ), equalish( X, 'e_4' ), product(
% 0.73/1.36 'e_4', X, 'e_1' ), product( 'e_4', X, 'e_2' ), product( 'e_4', X, 'e_3' )
% 0.73/1.36 ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 81, [ ~( 'group_element'( X ) ), equalish( X, 'e_4' ), product(
% 0.73/1.36 'e_1', X, 'e_4' ), product( 'e_2', X, 'e_4' ), product( 'e_3', X, 'e_4' )
% 0.73/1.36 ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 117, [ equalish( 'e_3', 'e_4' ), product( 'e_4', 'e_3', 'e_1' ),
% 0.73/1.36 product( 'e_4', 'e_3', 'e_2' ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 118, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3', 'e_2'
% 0.73/1.36 ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 130, [ product( 'e_4', 'e_3', 'e_1' ), ~( product( 'e_3', 'e_2',
% 0.73/1.36 'e_4' ) ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 190, [ ~( 'group_element'( X ) ), equalish( 'e_4', X ), product(
% 0.73/1.36 'e_4', 'e_1', X ), ~( product( 'e_3', X, 'e_4' ) ), product( 'e_4', 'e_2'
% 0.73/1.36 , X ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 191, [ equalish( 'e_4', 'e_3' ), product( 'e_4', 'e_1', 'e_3' ),
% 0.73/1.36 product( 'e_4', 'e_2', 'e_3' ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 192, [ product( 'e_4', 'e_1', 'e_3' ), product( 'e_4', 'e_2', 'e_3'
% 0.73/1.36 ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 203, [ ~( product( 'e_3', 'e_4', 'e_2' ) ), product( 'e_4', 'e_1',
% 0.73/1.36 'e_3' ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 204, [ product( 'e_4', 'e_1', 'e_3' ), ~( product( 'e_2', 'e_3',
% 0.73/1.36 'e_4' ) ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 222, [ ~( product( 'e_3', 'e_4', 'e_2' ) ), ~( product( 'e_1',
% 0.73/1.36 'e_3', 'e_4' ) ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 314, [ equalish( 'e_3', 'e_4' ), product( 'e_3', 'e_1', 'e_4' ),
% 0.73/1.36 product( 'e_3', 'e_2', 'e_4' ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 315, [ product( 'e_3', 'e_1', 'e_4' ), product( 'e_3', 'e_2', 'e_4'
% 0.73/1.36 ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 323, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_4'
% 0.73/1.36 ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 334, [ ~( product( 'e_4', 'e_3', 'e_2' ) ), product( 'e_3', 'e_1',
% 0.73/1.36 'e_4' ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 495, [ equalish( 'e_3', 'e_4' ), product( 'e_1', 'e_3', 'e_4' ),
% 0.73/1.36 product( 'e_2', 'e_3', 'e_4' ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 566, [ product( 'e_1', 'e_3', 'e_4' ), product( 'e_2', 'e_3', 'e_4'
% 0.73/1.36 ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 567, [ product( 'e_4', 'e_1', 'e_3' ), product( 'e_1', 'e_3', 'e_4'
% 0.73/1.36 ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 579, [ equalish( 'e_3', 'e_2' ), ~( product( 'e_3', 'e_4', 'e_2' )
% 0.73/1.36 ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 589, [ ~( product( 'e_3', 'e_4', 'e_2' ) ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 592, [ equalish( 'e_2', 'e_4' ), product( 'e_1', 'e_4', 'e_2' ),
% 0.73/1.36 product( 'e_2', 'e_4', 'e_2' ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 609, [ equalish( 'e_3', 'e_1' ), ~( product( 'e_3', 'e_4', 'e_1' )
% 0.73/1.36 ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 618, [ ~( product( 'e_3', 'e_4', 'e_1' ) ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 621, [ equalish( 'e_1', 'e_4' ), product( 'e_1', 'e_4', 'e_1' ),
% 0.73/1.36 product( 'e_2', 'e_4', 'e_1' ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 767, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_1'
% 0.73/1.36 ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 781, [ product( 'e_1', 'e_4', 'e_1' ), ~( product( 'e_4', 'e_1',
% 0.73/1.36 'e_2' ) ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 787, [ equalish( X, 'e_1' ), ~( product( 'e_2', 'e_4', X ) ),
% 0.73/1.36 product( 'e_1', 'e_4', 'e_1' ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 852, [ equalish( X, 'e_1' ), ~( product( 'e_2', 'e_4', X ) ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 863, [ product( 'e_1', 'e_4', 'e_2' ), product( 'e_2', 'e_4', 'e_2'
% 0.73/1.36 ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 864, [ product( 'e_1', 'e_4', 'e_2' ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 884, [ ~( product( 'e_4', 'e_2', 'e_1' ) ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 892, [ equalish( X, 'e_2' ), ~( product( 'e_1', 'e_4', X ) ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 946, [ equalish( 'e_4', 'e_1' ), product( 'e_4', 'e_1', 'e_1' ),
% 0.73/1.36 ~( product( 'e_3', 'e_1', 'e_4' ) ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 979, [ product( 'e_4', 'e_1', 'e_1' ), ~( product( 'e_3', 'e_1',
% 0.73/1.36 'e_4' ) ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 993, [ product( 'e_4', 'e_1', 'e_1' ), product( 'e_4', 'e_3', 'e_1'
% 0.73/1.36 ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 1023, [ equalish( 'e_1', 'e_4' ), ~( product( 'e_3', 'e_1', 'e_4' )
% 0.73/1.36 ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 1025, [ ~( product( 'e_3', 'e_1', 'e_4' ) ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 1040, [ ~( product( 'e_4', 'e_3', 'e_2' ) ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 1050, [ equalish( 'e_2', 'e_4' ), product( 'e_4', 'e_1', 'e_2' ),
% 0.73/1.36 product( 'e_4', 'e_2', 'e_2' ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 1099, [ product( 'e_4', 'e_1', 'e_2' ), product( 'e_4', 'e_2',
% 0.73/1.36 'e_2' ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 1116, [ product( 'e_4', 'e_1', 'e_2' ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 1117, [ product( 'e_1', 'e_4', 'e_1' ) ] )
% 0.73/1.36 .
% 0.73/1.36 clause( 1147, [] )
% 0.73/1.36 .
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 % SZS output end Refutation
% 0.73/1.36 found a proof!
% 0.73/1.36
% 0.73/1.36 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.36
% 0.73/1.36 initialclauses(
% 0.73/1.36 [ clause( 1149, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.73/1.36 product( 'e_1', X, Y ), product( 'e_2', X, Y ), product( 'e_3', X, Y ),
% 0.73/1.36 product( 'e_4', X, Y ) ] )
% 0.73/1.36 , clause( 1150, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.73/1.36 product( X, 'e_1', Y ), product( X, 'e_2', Y ), product( X, 'e_3', Y ),
% 0.73/1.36 product( X, 'e_4', Y ) ] )
% 0.73/1.36 , clause( 1151, [ 'group_element'( 'e_1' ) ] )
% 0.73/1.36 , clause( 1152, [ 'group_element'( 'e_2' ) ] )
% 0.73/1.36 , clause( 1153, [ 'group_element'( 'e_3' ) ] )
% 0.73/1.36 , clause( 1154, [ 'group_element'( 'e_4' ) ] )
% 0.73/1.36 , clause( 1155, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.73/1.36 , clause( 1156, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.73/1.36 , clause( 1157, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.73/1.36 , clause( 1158, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.73/1.36 , clause( 1159, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.73/1.36 , clause( 1160, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 0.73/1.36 , clause( 1161, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.73/1.36 , clause( 1162, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.73/1.36 , clause( 1163, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.73/1.36 , clause( 1164, [ ~( equalish( 'e_4', 'e_1' ) ) ] )
% 0.73/1.36 , clause( 1165, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.73/1.36 , clause( 1166, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.73/1.36 , clause( 1167, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.73/1.36 product( X, Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ),
% 0.73/1.36 product( X, Y, 'e_4' ) ] )
% 0.73/1.36 , clause( 1168, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ),
% 0.73/1.36 equalish( Z, T ) ] )
% 0.73/1.36 , clause( 1169, [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ),
% 0.73/1.36 equalish( Y, T ) ] )
% 0.73/1.36 , clause( 1170, [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ),
% 0.73/1.36 equalish( X, T ) ] )
% 0.73/1.36 , clause( 1171, [ product( X, X, X ) ] )
% 0.73/1.36 , clause( 1172, [ ~( product( X, Y, Z ) ), ~( product( T, U, Z ) ), ~(
% 0.73/1.36 product( W, X, Y ) ), ~( product( W, T, U ) ), equalish( X, T ) ] )
% 0.73/1.36 , clause( 1173, [ ~( product( X, Y, Z ) ), ~( product( T, U, Z ) ), ~(
% 0.73/1.36 product( W, X, Y ) ), ~( product( W, T, U ) ), equalish( Y, U ) ] )
% 0.73/1.36 ] ).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 subsumption(
% 0.73/1.36 clause( 0, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ), product(
% 0.73/1.36 'e_1', X, Y ), product( 'e_2', X, Y ), product( 'e_3', X, Y ), product(
% 0.73/1.36 'e_4', X, Y ) ] )
% 0.73/1.36 , clause( 1149, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.73/1.36 product( 'e_1', X, Y ), product( 'e_2', X, Y ), product( 'e_3', X, Y ),
% 0.73/1.36 product( 'e_4', X, Y ) ] )
% 0.73/1.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.36 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 ), ==>( 5, 5 )] )
% 0.73/1.36 ).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 subsumption(
% 0.73/1.36 clause( 1, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ), product(
% 0.73/1.36 X, 'e_1', Y ), product( X, 'e_2', Y ), product( X, 'e_3', Y ), product( X
% 0.73/1.36 , 'e_4', Y ) ] )
% 0.73/1.36 , clause( 1150, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.73/1.36 product( X, 'e_1', Y ), product( X, 'e_2', Y ), product( X, 'e_3', Y ),
% 0.73/1.36 product( X, 'e_4', Y ) ] )
% 0.73/1.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.36 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 ), ==>( 5, 5 )] )
% 0.73/1.36 ).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 subsumption(
% 0.73/1.36 clause( 2, [ 'group_element'( 'e_1' ) ] )
% 0.73/1.36 , clause( 1151, [ 'group_element'( 'e_1' ) ] )
% 0.73/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 subsumption(
% 0.73/1.36 clause( 3, [ 'group_element'( 'e_2' ) ] )
% 0.73/1.36 , clause( 1152, [ 'group_element'( 'e_2' ) ] )
% 0.73/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 subsumption(
% 0.73/1.36 clause( 4, [ 'group_element'( 'e_3' ) ] )
% 0.73/1.36 , clause( 1153, [ 'group_element'( 'e_3' ) ] )
% 0.73/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 subsumption(
% 0.73/1.36 clause( 5, [ 'group_element'( 'e_4' ) ] )
% 0.73/1.36 , clause( 1154, [ 'group_element'( 'e_4' ) ] )
% 0.73/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 subsumption(
% 0.73/1.36 clause( 6, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.73/1.36 , clause( 1155, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.73/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 subsumption(
% 0.73/1.36 clause( 8, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.73/1.36 , clause( 1157, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.73/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 subsumption(
% 0.73/1.36 clause( 9, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.73/1.36 , clause( 1158, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.73/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 subsumption(
% 0.73/1.36 clause( 11, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 0.73/1.36 , clause( 1160, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 0.73/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 subsumption(
% 0.73/1.36 clause( 12, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.73/1.36 , clause( 1161, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.73/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 subsumption(
% 0.73/1.36 clause( 13, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.73/1.36 , clause( 1162, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.73/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 subsumption(
% 0.73/1.36 clause( 14, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.73/1.36 , clause( 1163, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.73/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 subsumption(
% 0.73/1.36 clause( 15, [ ~( equalish( 'e_4', 'e_1' ) ) ] )
% 0.73/1.36 , clause( 1164, [ ~( equalish( 'e_4', 'e_1' ) ) ] )
% 0.73/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 subsumption(
% 0.73/1.36 clause( 16, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.73/1.36 , clause( 1165, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.73/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 subsumption(
% 0.73/1.36 clause( 17, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.73/1.36 , clause( 1166, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.73/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 subsumption(
% 0.73/1.36 clause( 18, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ), product(
% 0.73/1.36 X, Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ), product( X
% 0.73/1.36 , Y, 'e_4' ) ] )
% 0.73/1.36 , clause( 1167, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.73/1.36 product( X, Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ),
% 0.73/1.36 product( X, Y, 'e_4' ) ] )
% 0.73/1.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.36 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 ), ==>( 5, 5 )] )
% 0.73/1.36 ).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 subsumption(
% 0.73/1.36 clause( 19, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y,
% 0.73/1.36 T ) ) ] )
% 0.73/1.36 , clause( 1168, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ),
% 0.73/1.36 equalish( Z, T ) ] )
% 0.73/1.36 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.36 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 subsumption(
% 0.73/1.36 clause( 20, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T,
% 0.73/1.36 Z ) ) ] )
% 0.73/1.36 , clause( 1169, [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ),
% 0.73/1.36 equalish( Y, T ) ] )
% 0.73/1.36 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.36 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 subsumption(
% 0.73/1.36 clause( 21, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y,
% 0.73/1.36 Z ) ) ] )
% 0.73/1.36 , clause( 1170, [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ),
% 0.73/1.36 equalish( X, T ) ] )
% 0.73/1.36 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.36 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 subsumption(
% 0.73/1.36 clause( 22, [ product( X, X, X ) ] )
% 0.73/1.36 , clause( 1171, [ product( X, X, X ) ] )
% 0.73/1.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 subsumption(
% 0.73/1.36 clause( 23, [ equalish( X, T ), ~( product( W, X, Y ) ), ~( product( W, T,
% 0.73/1.36 U ) ), ~( product( X, Y, Z ) ), ~( product( T, U, Z ) ) ] )
% 0.73/1.36 , clause( 1172, [ ~( product( X, Y, Z ) ), ~( product( T, U, Z ) ), ~(
% 0.73/1.36 product( W, X, Y ) ), ~( product( W, T, U ) ), equalish( X, T ) ] )
% 0.73/1.36 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.73/1.36 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 4 ), ==>( 2
% 0.73/1.36 , 1 ), ==>( 3, 2 ), ==>( 4, 0 )] ) ).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 subsumption(
% 0.73/1.36 clause( 24, [ equalish( Y, U ), ~( product( W, X, Y ) ), ~( product( W, T,
% 0.73/1.36 U ) ), ~( product( X, Y, Z ) ), ~( product( T, U, Z ) ) ] )
% 0.73/1.36 , clause( 1173, [ ~( product( X, Y, Z ) ), ~( product( T, U, Z ) ), ~(
% 0.73/1.36 product( W, X, Y ) ), ~( product( W, T, U ) ), equalish( Y, U ) ] )
% 0.73/1.36 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.73/1.36 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 4 ), ==>( 2
% 0.73/1.36 , 1 ), ==>( 3, 2 ), ==>( 4, 0 )] ) ).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 factor(
% 0.73/1.36 clause( 1269, [ equalish( X, Y ), ~( product( Y, X, Z ) ), ~( product( Y, Y
% 0.73/1.36 , Y ) ), ~( product( X, Z, Y ) ) ] )
% 0.73/1.36 , clause( 23, [ equalish( X, T ), ~( product( W, X, Y ) ), ~( product( W, T
% 0.73/1.36 , U ) ), ~( product( X, Y, Z ) ), ~( product( T, U, Z ) ) ] )
% 0.73/1.36 , 2, 4, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y ), :=( T, Y ),
% 0.73/1.36 :=( U, Y ), :=( W, Y )] )).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 resolution(
% 0.73/1.36 clause( 1277, [ equalish( X, Y ), ~( product( Y, X, Z ) ), ~( product( X, Z
% 0.73/1.36 , Y ) ) ] )
% 0.73/1.36 , clause( 1269, [ equalish( X, Y ), ~( product( Y, X, Z ) ), ~( product( Y
% 0.73/1.36 , Y, Y ) ), ~( product( X, Z, Y ) ) ] )
% 0.73/1.36 , 2, clause( 22, [ product( X, X, X ) ] )
% 0.73/1.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.36 substitution( 1, [ :=( X, Y )] )).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 subsumption(
% 0.73/1.36 clause( 34, [ equalish( X, Y ), ~( product( X, Z, Y ) ), ~( product( Y, X,
% 0.73/1.36 Z ) ) ] )
% 0.73/1.36 , clause( 1277, [ equalish( X, Y ), ~( product( Y, X, Z ) ), ~( product( X
% 0.73/1.36 , Z, Y ) ) ] )
% 0.73/1.36 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.36 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 factor(
% 0.73/1.36 clause( 1280, [ equalish( X, Y ), ~( product( X, X, X ) ), ~( product( X, Z
% 0.73/1.36 , Y ) ), ~( product( Z, Y, X ) ) ] )
% 0.73/1.36 , clause( 24, [ equalish( Y, U ), ~( product( W, X, Y ) ), ~( product( W, T
% 0.73/1.36 , U ) ), ~( product( X, Y, Z ) ), ~( product( T, U, Z ) ) ] )
% 0.73/1.36 , 1, 3, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, X ), :=( T, Z ),
% 0.73/1.36 :=( U, Y ), :=( W, X )] )).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 resolution(
% 0.73/1.36 clause( 1287, [ equalish( X, Y ), ~( product( X, Z, Y ) ), ~( product( Z, Y
% 0.73/1.36 , X ) ) ] )
% 0.73/1.36 , clause( 1280, [ equalish( X, Y ), ~( product( X, X, X ) ), ~( product( X
% 0.73/1.36 , Z, Y ) ), ~( product( Z, Y, X ) ) ] )
% 0.73/1.36 , 1, clause( 22, [ product( X, X, X ) ] )
% 0.73/1.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.36 substitution( 1, [ :=( X, X )] )).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 subsumption(
% 0.73/1.36 clause( 36, [ equalish( X, Y ), ~( product( Z, Y, X ) ), ~( product( X, Z,
% 0.73/1.36 Y ) ) ] )
% 0.73/1.36 , clause( 1287, [ equalish( X, Y ), ~( product( X, Z, Y ) ), ~( product( Z
% 0.73/1.36 , Y, X ) ) ] )
% 0.73/1.36 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.36 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 factor(
% 0.73/1.36 clause( 1293, [ equalish( X, Y ), ~( product( Y, Z, X ) ), ~( product( Y, Y
% 0.73/1.36 , Y ) ), ~( product( Z, X, Y ) ) ] )
% 0.73/1.36 , clause( 24, [ equalish( Y, U ), ~( product( W, X, Y ) ), ~( product( W, T
% 0.73/1.36 , U ) ), ~( product( X, Y, Z ) ), ~( product( T, U, Z ) ) ] )
% 0.73/1.36 , 2, 4, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, Y ),
% 0.73/1.36 :=( U, Y ), :=( W, Y )] )).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 resolution(
% 0.73/1.36 clause( 1301, [ equalish( X, Y ), ~( product( Y, Z, X ) ), ~( product( Z, X
% 0.73/1.36 , Y ) ) ] )
% 0.73/1.36 , clause( 1293, [ equalish( X, Y ), ~( product( Y, Z, X ) ), ~( product( Y
% 0.73/1.36 , Y, Y ) ), ~( product( Z, X, Y ) ) ] )
% 0.73/1.36 , 2, clause( 22, [ product( X, X, X ) ] )
% 0.73/1.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.36 substitution( 1, [ :=( X, Y )] )).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 subsumption(
% 0.73/1.36 clause( 39, [ equalish( X, Y ), ~( product( Z, X, Y ) ), ~( product( Y, Z,
% 0.73/1.36 X ) ) ] )
% 0.73/1.36 , clause( 1301, [ equalish( X, Y ), ~( product( Y, Z, X ) ), ~( product( Z
% 0.73/1.36 , X, Y ) ) ] )
% 0.73/1.36 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.36 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 resolution(
% 0.73/1.36 clause( 1303, [ equalish( X, Y ), ~( product( Y, X, X ) ) ] )
% 0.73/1.36 , clause( 21, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.73/1.36 , Z ) ) ] )
% 0.73/1.36 , 1, clause( 22, [ product( X, X, X ) ] )
% 0.73/1.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, X ), :=( T, Y )] ),
% 0.73/1.36 substitution( 1, [ :=( X, X )] )).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 subsumption(
% 0.73/1.36 clause( 42, [ equalish( X, Y ), ~( product( Y, X, X ) ) ] )
% 0.73/1.36 , clause( 1303, [ equalish( X, Y ), ~( product( Y, X, X ) ) ] )
% 0.73/1.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.36 ), ==>( 1, 1 )] ) ).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 resolution(
% 0.73/1.36 clause( 1306, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.73/1.36 , clause( 21, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.73/1.36 , Z ) ) ] )
% 0.73/1.36 , 2, clause( 22, [ product( X, X, X ) ] )
% 0.73/1.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, Y )] ),
% 0.73/1.36 substitution( 1, [ :=( X, Y )] )).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 subsumption(
% 0.73/1.36 clause( 43, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.73/1.36 , clause( 1306, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.73/1.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.36 ), ==>( 1, 1 )] ) ).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 resolution(
% 0.73/1.36 clause( 1307, [ equalish( X, Y ), ~( product( X, X, Y ) ) ] )
% 0.73/1.36 , clause( 19, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y
% 0.73/1.36 , T ) ) ] )
% 0.73/1.36 , 1, clause( 22, [ product( X, X, X ) ] )
% 0.73/1.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, X ), :=( T, Y )] ),
% 0.73/1.36 substitution( 1, [ :=( X, X )] )).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 subsumption(
% 0.73/1.36 clause( 50, [ equalish( X, Y ), ~( product( X, X, Y ) ) ] )
% 0.73/1.36 , clause( 1307, [ equalish( X, Y ), ~( product( X, X, Y ) ) ] )
% 0.73/1.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.36 ), ==>( 1, 1 )] ) ).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 resolution(
% 0.73/1.36 clause( 1310, [ equalish( X, Y ), ~( product( Y, Y, X ) ) ] )
% 0.73/1.36 , clause( 19, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y
% 0.73/1.36 , T ) ) ] )
% 0.73/1.36 , 2, clause( 22, [ product( X, X, X ) ] )
% 0.73/1.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Y ), :=( Z, X ), :=( T, Y )] ),
% 0.73/1.36 substitution( 1, [ :=( X, Y )] )).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 subsumption(
% 0.73/1.36 clause( 51, [ equalish( X, Y ), ~( product( Y, Y, X ) ) ] )
% 0.73/1.36 , clause( 1310, [ equalish( X, Y ), ~( product( Y, Y, X ) ) ] )
% 0.73/1.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.36 ), ==>( 1, 1 )] ) ).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 resolution(
% 0.73/1.36 clause( 1314, [ equalish( 'e_4', X ), ~( 'group_element'( 'e_4' ) ), ~(
% 0.73/1.36 'group_element'( X ) ), product( 'e_4', 'e_1', X ), product( 'e_4', 'e_2'
% 0.73/1.36 , X ), product( 'e_4', 'e_3', X ) ] )
% 0.73/1.36 , clause( 50, [ equalish( X, Y ), ~( product( X, X, Y ) ) ] )
% 0.73/1.36 , 1, clause( 1, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.73/1.36 product( X, 'e_1', Y ), product( X, 'e_2', Y ), product( X, 'e_3', Y ),
% 0.73/1.36 product( X, 'e_4', Y ) ] )
% 0.73/1.36 , 5, substitution( 0, [ :=( X, 'e_4' ), :=( Y, X )] ), substitution( 1, [
% 0.73/1.36 :=( X, 'e_4' ), :=( Y, X )] )).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 resolution(
% 0.73/1.36 clause( 1320, [ equalish( 'e_4', X ), ~( 'group_element'( X ) ), product(
% 0.73/1.36 'e_4', 'e_1', X ), product( 'e_4', 'e_2', X ), product( 'e_4', 'e_3', X )
% 0.73/1.36 ] )
% 0.73/1.36 , clause( 1314, [ equalish( 'e_4', X ), ~( 'group_element'( 'e_4' ) ), ~(
% 0.73/1.36 'group_element'( X ) ), product( 'e_4', 'e_1', X ), product( 'e_4', 'e_2'
% 0.73/1.36 , X ), product( 'e_4', 'e_3', X ) ] )
% 0.73/1.36 , 1, clause( 5, [ 'group_element'( 'e_4' ) ] )
% 0.73/1.36 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 subsumption(
% 0.73/1.36 clause( 57, [ ~( 'group_element'( X ) ), equalish( 'e_4', X ), product(
% 0.73/1.36 'e_4', 'e_1', X ), product( 'e_4', 'e_2', X ), product( 'e_4', 'e_3', X )
% 0.73/1.36 ] )
% 0.73/1.36 , clause( 1320, [ equalish( 'e_4', X ), ~( 'group_element'( X ) ), product(
% 0.73/1.36 'e_4', 'e_1', X ), product( 'e_4', 'e_2', X ), product( 'e_4', 'e_3', X )
% 0.73/1.36 ] )
% 0.73/1.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.73/1.36 0 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 resolution(
% 0.73/1.36 clause( 1324, [ equalish( X, 'e_4' ), ~( 'group_element'( 'e_4' ) ), ~(
% 0.73/1.36 'group_element'( X ) ), product( 'e_4', 'e_1', X ), product( 'e_4', 'e_2'
% 0.73/1.36 , X ), product( 'e_4', 'e_3', X ) ] )
% 0.73/1.36 , clause( 51, [ equalish( X, Y ), ~( product( Y, Y, X ) ) ] )
% 0.73/1.36 , 1, clause( 1, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.73/1.36 product( X, 'e_1', Y ), product( X, 'e_2', Y ), product( X, 'e_3', Y ),
% 0.73/1.36 product( X, 'e_4', Y ) ] )
% 0.73/1.36 , 5, substitution( 0, [ :=( X, X ), :=( Y, 'e_4' )] ), substitution( 1, [
% 0.73/1.36 :=( X, 'e_4' ), :=( Y, X )] )).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 resolution(
% 0.73/1.36 clause( 1330, [ equalish( X, 'e_4' ), ~( 'group_element'( X ) ), product(
% 0.73/1.36 'e_4', 'e_1', X ), product( 'e_4', 'e_2', X ), product( 'e_4', 'e_3', X )
% 0.73/1.36 ] )
% 0.73/1.36 , clause( 1324, [ equalish( X, 'e_4' ), ~( 'group_element'( 'e_4' ) ), ~(
% 0.73/1.36 'group_element'( X ) ), product( 'e_4', 'e_1', X ), product( 'e_4', 'e_2'
% 0.73/1.36 , X ), product( 'e_4', 'e_3', X ) ] )
% 0.73/1.36 , 1, clause( 5, [ 'group_element'( 'e_4' ) ] )
% 0.73/1.36 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 subsumption(
% 0.73/1.36 clause( 60, [ ~( 'group_element'( X ) ), equalish( X, 'e_4' ), product(
% 0.73/1.36 'e_4', 'e_1', X ), product( 'e_4', 'e_2', X ), product( 'e_4', 'e_3', X )
% 0.73/1.36 ] )
% 0.73/1.36 , clause( 1330, [ equalish( X, 'e_4' ), ~( 'group_element'( X ) ), product(
% 0.73/1.36 'e_4', 'e_1', X ), product( 'e_4', 'e_2', X ), product( 'e_4', 'e_3', X )
% 0.73/1.36 ] )
% 0.73/1.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.73/1.36 0 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 resolution(
% 0.73/1.36 clause( 1334, [ equalish( X, 'e_4' ), ~( 'group_element'( 'e_4' ) ), ~(
% 0.73/1.36 'group_element'( X ) ), product( 'e_1', 'e_4', X ), product( 'e_2', 'e_4'
% 0.73/1.36 , X ), product( 'e_3', 'e_4', X ) ] )
% 0.73/1.36 , clause( 51, [ equalish( X, Y ), ~( product( Y, Y, X ) ) ] )
% 0.73/1.36 , 1, clause( 0, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.73/1.36 product( 'e_1', X, Y ), product( 'e_2', X, Y ), product( 'e_3', X, Y ),
% 0.73/1.36 product( 'e_4', X, Y ) ] )
% 0.73/1.36 , 5, substitution( 0, [ :=( X, X ), :=( Y, 'e_4' )] ), substitution( 1, [
% 0.73/1.36 :=( X, 'e_4' ), :=( Y, X )] )).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 resolution(
% 0.73/1.36 clause( 1340, [ equalish( X, 'e_4' ), ~( 'group_element'( X ) ), product(
% 0.73/1.36 'e_1', 'e_4', X ), product( 'e_2', 'e_4', X ), product( 'e_3', 'e_4', X )
% 0.73/1.36 ] )
% 0.73/1.36 , clause( 1334, [ equalish( X, 'e_4' ), ~( 'group_element'( 'e_4' ) ), ~(
% 0.73/1.36 'group_element'( X ) ), product( 'e_1', 'e_4', X ), product( 'e_2', 'e_4'
% 0.73/1.36 , X ), product( 'e_3', 'e_4', X ) ] )
% 0.73/1.36 , 1, clause( 5, [ 'group_element'( 'e_4' ) ] )
% 0.73/1.36 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 subsumption(
% 0.73/1.36 clause( 61, [ ~( 'group_element'( X ) ), equalish( X, 'e_4' ), product(
% 0.73/1.36 'e_1', 'e_4', X ), product( 'e_2', 'e_4', X ), product( 'e_3', 'e_4', X )
% 0.73/1.36 ] )
% 0.73/1.36 , clause( 1340, [ equalish( X, 'e_4' ), ~( 'group_element'( X ) ), product(
% 0.73/1.36 'e_1', 'e_4', X ), product( 'e_2', 'e_4', X ), product( 'e_3', 'e_4', X )
% 0.73/1.36 ] )
% 0.73/1.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.73/1.36 0 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 resolution(
% 0.73/1.36 clause( 1344, [ equalish( X, 'e_4' ), ~( 'group_element'( X ) ), ~(
% 0.73/1.36 'group_element'( 'e_4' ) ), product( X, 'e_1', 'e_4' ), product( X, 'e_2'
% 0.73/1.36 , 'e_4' ), product( X, 'e_3', 'e_4' ) ] )
% 0.73/1.36 , clause( 43, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.73/1.36 , 1, clause( 1, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.73/1.36 product( X, 'e_1', Y ), product( X, 'e_2', Y ), product( X, 'e_3', Y ),
% 0.73/1.36 product( X, 'e_4', Y ) ] )
% 0.73/1.36 , 5, substitution( 0, [ :=( X, X ), :=( Y, 'e_4' )] ), substitution( 1, [
% 0.73/1.36 :=( X, X ), :=( Y, 'e_4' )] )).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 resolution(
% 0.73/1.36 clause( 1350, [ equalish( X, 'e_4' ), ~( 'group_element'( X ) ), product( X
% 0.73/1.36 , 'e_1', 'e_4' ), product( X, 'e_2', 'e_4' ), product( X, 'e_3', 'e_4' )
% 0.73/1.36 ] )
% 0.73/1.36 , clause( 1344, [ equalish( X, 'e_4' ), ~( 'group_element'( X ) ), ~(
% 0.73/1.36 'group_element'( 'e_4' ) ), product( X, 'e_1', 'e_4' ), product( X, 'e_2'
% 0.73/1.36 , 'e_4' ), product( X, 'e_3', 'e_4' ) ] )
% 0.73/1.36 , 2, clause( 5, [ 'group_element'( 'e_4' ) ] )
% 0.73/1.36 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 subsumption(
% 0.73/1.36 clause( 66, [ ~( 'group_element'( X ) ), equalish( X, 'e_4' ), product( X,
% 0.73/1.36 'e_1', 'e_4' ), product( X, 'e_2', 'e_4' ), product( X, 'e_3', 'e_4' ) ]
% 0.73/1.36 )
% 0.73/1.36 , clause( 1350, [ equalish( X, 'e_4' ), ~( 'group_element'( X ) ), product(
% 0.73/1.36 X, 'e_1', 'e_4' ), product( X, 'e_2', 'e_4' ), product( X, 'e_3', 'e_4' )
% 0.73/1.36 ] )
% 0.73/1.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.73/1.36 0 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 resolution(
% 0.73/1.36 clause( 1352, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.73/1.36 , clause( 20, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.73/1.36 , Z ) ) ] )
% 0.73/1.36 , 2, clause( 22, [ product( X, X, X ) ] )
% 0.73/1.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Y ), :=( T, Y )] ),
% 0.73/1.36 substitution( 1, [ :=( X, Y )] )).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 subsumption(
% 0.73/1.36 clause( 71, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.73/1.36 , clause( 1352, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.73/1.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.36 ), ==>( 1, 1 )] ) ).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 resolution(
% 0.73/1.36 clause( 1356, [ equalish( X, 'e_4' ), ~( 'group_element'( 'e_4' ) ), ~(
% 0.73/1.36 'group_element'( X ) ), product( 'e_4', X, 'e_1' ), product( 'e_4', X,
% 0.73/1.36 'e_2' ), product( 'e_4', X, 'e_3' ) ] )
% 0.73/1.36 , clause( 71, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.73/1.36 , 1, clause( 18, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.73/1.36 product( X, Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ),
% 0.73/1.36 product( X, Y, 'e_4' ) ] )
% 0.73/1.36 , 5, substitution( 0, [ :=( X, X ), :=( Y, 'e_4' )] ), substitution( 1, [
% 0.73/1.36 :=( X, 'e_4' ), :=( Y, X )] )).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 resolution(
% 0.73/1.36 clause( 1362, [ equalish( X, 'e_4' ), ~( 'group_element'( X ) ), product(
% 0.73/1.36 'e_4', X, 'e_1' ), product( 'e_4', X, 'e_2' ), product( 'e_4', X, 'e_3' )
% 0.73/1.36 ] )
% 0.73/1.36 , clause( 1356, [ equalish( X, 'e_4' ), ~( 'group_element'( 'e_4' ) ), ~(
% 0.73/1.36 'group_element'( X ) ), product( 'e_4', X, 'e_1' ), product( 'e_4', X,
% 0.73/1.36 'e_2' ), product( 'e_4', X, 'e_3' ) ] )
% 0.73/1.36 , 1, clause( 5, [ 'group_element'( 'e_4' ) ] )
% 0.73/1.36 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 subsumption(
% 0.73/1.36 clause( 79, [ ~( 'group_element'( X ) ), equalish( X, 'e_4' ), product(
% 0.73/1.36 'e_4', X, 'e_1' ), product( 'e_4', X, 'e_2' ), product( 'e_4', X, 'e_3' )
% 0.73/1.36 ] )
% 0.73/1.36 , clause( 1362, [ equalish( X, 'e_4' ), ~( 'group_element'( X ) ), product(
% 0.73/1.36 'e_4', X, 'e_1' ), product( 'e_4', X, 'e_2' ), product( 'e_4', X, 'e_3' )
% 0.73/1.36 ] )
% 0.73/1.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.73/1.36 0 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 resolution(
% 0.73/1.36 clause( 1366, [ equalish( X, 'e_4' ), ~( 'group_element'( X ) ), ~(
% 0.73/1.36 'group_element'( 'e_4' ) ), product( 'e_1', X, 'e_4' ), product( 'e_2', X
% 0.73/1.36 , 'e_4' ), product( 'e_3', X, 'e_4' ) ] )
% 0.73/1.36 , clause( 71, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.73/1.36 , 1, clause( 0, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.73/1.36 product( 'e_1', X, Y ), product( 'e_2', X, Y ), product( 'e_3', X, Y ),
% 0.73/1.36 product( 'e_4', X, Y ) ] )
% 0.73/1.36 , 5, substitution( 0, [ :=( X, X ), :=( Y, 'e_4' )] ), substitution( 1, [
% 0.73/1.36 :=( X, X ), :=( Y, 'e_4' )] )).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 resolution(
% 0.73/1.36 clause( 1372, [ equalish( X, 'e_4' ), ~( 'group_element'( X ) ), product(
% 0.73/1.36 'e_1', X, 'e_4' ), product( 'e_2', X, 'e_4' ), product( 'e_3', X, 'e_4' )
% 0.73/1.36 ] )
% 0.73/1.36 , clause( 1366, [ equalish( X, 'e_4' ), ~( 'group_element'( X ) ), ~(
% 0.73/1.36 'group_element'( 'e_4' ) ), product( 'e_1', X, 'e_4' ), product( 'e_2', X
% 0.73/1.36 , 'e_4' ), product( 'e_3', X, 'e_4' ) ] )
% 0.73/1.36 , 2, clause( 5, [ 'group_element'( 'e_4' ) ] )
% 0.73/1.36 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 subsumption(
% 0.73/1.36 clause( 81, [ ~( 'group_element'( X ) ), equalish( X, 'e_4' ), product(
% 0.73/1.36 'e_1', X, 'e_4' ), product( 'e_2', X, 'e_4' ), product( 'e_3', X, 'e_4' )
% 0.73/1.36 ] )
% 0.73/1.36 , clause( 1372, [ equalish( X, 'e_4' ), ~( 'group_element'( X ) ), product(
% 0.73/1.36 'e_1', X, 'e_4' ), product( 'e_2', X, 'e_4' ), product( 'e_3', X, 'e_4' )
% 0.73/1.36 ] )
% 0.73/1.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.73/1.36 0 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 resolution(
% 0.73/1.36 clause( 1375, [ equalish( 'e_3', 'e_4' ), ~( 'group_element'( 'e_3' ) ),
% 0.73/1.36 equalish( 'e_3', 'e_4' ), product( 'e_4', 'e_3', 'e_1' ), product( 'e_4'
% 0.73/1.36 , 'e_3', 'e_2' ) ] )
% 0.73/1.36 , clause( 42, [ equalish( X, Y ), ~( product( Y, X, X ) ) ] )
% 0.73/1.36 , 1, clause( 79, [ ~( 'group_element'( X ) ), equalish( X, 'e_4' ), product(
% 0.73/1.36 'e_4', X, 'e_1' ), product( 'e_4', X, 'e_2' ), product( 'e_4', X, 'e_3' )
% 0.73/1.36 ] )
% 0.73/1.36 , 4, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_4' )] ), substitution( 1
% 0.73/1.36 , [ :=( X, 'e_3' )] )).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 resolution(
% 0.73/1.36 clause( 1379, [ equalish( 'e_3', 'e_4' ), equalish( 'e_3', 'e_4' ), product(
% 0.73/1.36 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3', 'e_2' ) ] )
% 0.73/1.36 , clause( 1375, [ equalish( 'e_3', 'e_4' ), ~( 'group_element'( 'e_3' ) ),
% 0.73/1.36 equalish( 'e_3', 'e_4' ), product( 'e_4', 'e_3', 'e_1' ), product( 'e_4'
% 0.73/1.36 , 'e_3', 'e_2' ) ] )
% 0.73/1.36 , 1, clause( 4, [ 'group_element'( 'e_3' ) ] )
% 0.73/1.36 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 factor(
% 0.73/1.36 clause( 1380, [ equalish( 'e_3', 'e_4' ), product( 'e_4', 'e_3', 'e_1' ),
% 0.73/1.36 product( 'e_4', 'e_3', 'e_2' ) ] )
% 0.73/1.36 , clause( 1379, [ equalish( 'e_3', 'e_4' ), equalish( 'e_3', 'e_4' ),
% 0.73/1.36 product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3', 'e_2' ) ] )
% 0.73/1.36 , 0, 1, substitution( 0, [] )).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 subsumption(
% 0.73/1.36 clause( 117, [ equalish( 'e_3', 'e_4' ), product( 'e_4', 'e_3', 'e_1' ),
% 0.73/1.36 product( 'e_4', 'e_3', 'e_2' ) ] )
% 0.73/1.36 , clause( 1380, [ equalish( 'e_3', 'e_4' ), product( 'e_4', 'e_3', 'e_1' )
% 0.73/1.36 , product( 'e_4', 'e_3', 'e_2' ) ] )
% 0.73/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.73/1.36 , 2 )] ) ).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 resolution(
% 0.73/1.36 clause( 1381, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3',
% 0.73/1.36 'e_2' ) ] )
% 0.73/1.36 , clause( 14, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.73/1.36 , 0, clause( 117, [ equalish( 'e_3', 'e_4' ), product( 'e_4', 'e_3', 'e_1'
% 0.73/1.36 ), product( 'e_4', 'e_3', 'e_2' ) ] )
% 0.73/1.36 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 subsumption(
% 0.73/1.36 clause( 118, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3', 'e_2'
% 0.73/1.36 ) ] )
% 0.73/1.36 , clause( 1381, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3',
% 0.73/1.36 'e_2' ) ] )
% 0.73/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.73/1.36 ).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 resolution(
% 0.73/1.36 clause( 1385, [ equalish( 'e_3', 'e_4' ), ~( product( 'e_3', 'e_2', 'e_4' )
% 0.73/1.36 ), product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.73/1.36 , clause( 34, [ equalish( X, Y ), ~( product( X, Z, Y ) ), ~( product( Y, X
% 0.73/1.36 , Z ) ) ] )
% 0.73/1.36 , 2, clause( 118, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3',
% 0.73/1.36 'e_2' ) ] )
% 0.73/1.36 , 1, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_4' ), :=( Z, 'e_2' )] ),
% 0.73/1.36 substitution( 1, [] )).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 resolution(
% 0.73/1.36 clause( 1387, [ ~( product( 'e_3', 'e_2', 'e_4' ) ), product( 'e_4', 'e_3'
% 0.73/1.36 , 'e_1' ) ] )
% 0.73/1.36 , clause( 14, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.73/1.36 , 0, clause( 1385, [ equalish( 'e_3', 'e_4' ), ~( product( 'e_3', 'e_2',
% 0.73/1.36 'e_4' ) ), product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.73/1.36 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 subsumption(
% 0.73/1.36 clause( 130, [ product( 'e_4', 'e_3', 'e_1' ), ~( product( 'e_3', 'e_2',
% 0.73/1.36 'e_4' ) ) ] )
% 0.73/1.36 , clause( 1387, [ ~( product( 'e_3', 'e_2', 'e_4' ) ), product( 'e_4',
% 0.73/1.36 'e_3', 'e_1' ) ] )
% 0.73/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.73/1.36 ).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 resolution(
% 0.73/1.36 clause( 1393, [ equalish( 'e_3', 'e_4' ), ~( product( 'e_3', X, 'e_4' ) ),
% 0.73/1.36 ~( 'group_element'( X ) ), equalish( 'e_4', X ), product( 'e_4', 'e_1', X
% 0.73/1.36 ), product( 'e_4', 'e_2', X ) ] )
% 0.73/1.36 , clause( 34, [ equalish( X, Y ), ~( product( X, Z, Y ) ), ~( product( Y, X
% 0.73/1.36 , Z ) ) ] )
% 0.73/1.36 , 2, clause( 57, [ ~( 'group_element'( X ) ), equalish( 'e_4', X ), product(
% 0.73/1.36 'e_4', 'e_1', X ), product( 'e_4', 'e_2', X ), product( 'e_4', 'e_3', X )
% 0.73/1.36 ] )
% 0.73/1.36 , 4, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_4' ), :=( Z, X )] ),
% 0.73/1.36 substitution( 1, [ :=( X, X )] )).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 resolution(
% 0.73/1.36 clause( 1397, [ ~( product( 'e_3', X, 'e_4' ) ), ~( 'group_element'( X ) )
% 0.73/1.36 , equalish( 'e_4', X ), product( 'e_4', 'e_1', X ), product( 'e_4', 'e_2'
% 0.73/1.36 , X ) ] )
% 0.73/1.36 , clause( 14, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.73/1.36 , 0, clause( 1393, [ equalish( 'e_3', 'e_4' ), ~( product( 'e_3', X, 'e_4'
% 1.00/1.36 ) ), ~( 'group_element'( X ) ), equalish( 'e_4', X ), product( 'e_4',
% 1.00/1.36 'e_1', X ), product( 'e_4', 'e_2', X ) ] )
% 1.00/1.36 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 subsumption(
% 1.00/1.36 clause( 190, [ ~( 'group_element'( X ) ), equalish( 'e_4', X ), product(
% 1.00/1.36 'e_4', 'e_1', X ), ~( product( 'e_3', X, 'e_4' ) ), product( 'e_4', 'e_2'
% 1.00/1.36 , X ) ] )
% 1.00/1.36 , clause( 1397, [ ~( product( 'e_3', X, 'e_4' ) ), ~( 'group_element'( X )
% 1.00/1.36 ), equalish( 'e_4', X ), product( 'e_4', 'e_1', X ), product( 'e_4',
% 1.00/1.36 'e_2', X ) ] )
% 1.00/1.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 1.00/1.36 0 ), ==>( 2, 1 ), ==>( 3, 2 ), ==>( 4, 4 )] ) ).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1400, [ equalish( 'e_4', 'e_3' ), ~( 'group_element'( 'e_3' ) ),
% 1.00/1.36 equalish( 'e_4', 'e_3' ), product( 'e_4', 'e_1', 'e_3' ), product( 'e_4'
% 1.00/1.36 , 'e_2', 'e_3' ) ] )
% 1.00/1.36 , clause( 43, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 1.00/1.36 , 1, clause( 57, [ ~( 'group_element'( X ) ), equalish( 'e_4', X ), product(
% 1.00/1.36 'e_4', 'e_1', X ), product( 'e_4', 'e_2', X ), product( 'e_4', 'e_3', X )
% 1.00/1.36 ] )
% 1.00/1.36 , 4, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_3' )] ), substitution( 1
% 1.00/1.36 , [ :=( X, 'e_3' )] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1404, [ equalish( 'e_4', 'e_3' ), equalish( 'e_4', 'e_3' ), product(
% 1.00/1.36 'e_4', 'e_1', 'e_3' ), product( 'e_4', 'e_2', 'e_3' ) ] )
% 1.00/1.36 , clause( 1400, [ equalish( 'e_4', 'e_3' ), ~( 'group_element'( 'e_3' ) ),
% 1.00/1.36 equalish( 'e_4', 'e_3' ), product( 'e_4', 'e_1', 'e_3' ), product( 'e_4'
% 1.00/1.36 , 'e_2', 'e_3' ) ] )
% 1.00/1.36 , 1, clause( 4, [ 'group_element'( 'e_3' ) ] )
% 1.00/1.36 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 factor(
% 1.00/1.36 clause( 1405, [ equalish( 'e_4', 'e_3' ), product( 'e_4', 'e_1', 'e_3' ),
% 1.00/1.36 product( 'e_4', 'e_2', 'e_3' ) ] )
% 1.00/1.36 , clause( 1404, [ equalish( 'e_4', 'e_3' ), equalish( 'e_4', 'e_3' ),
% 1.00/1.36 product( 'e_4', 'e_1', 'e_3' ), product( 'e_4', 'e_2', 'e_3' ) ] )
% 1.00/1.36 , 0, 1, substitution( 0, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 subsumption(
% 1.00/1.36 clause( 191, [ equalish( 'e_4', 'e_3' ), product( 'e_4', 'e_1', 'e_3' ),
% 1.00/1.36 product( 'e_4', 'e_2', 'e_3' ) ] )
% 1.00/1.36 , clause( 1405, [ equalish( 'e_4', 'e_3' ), product( 'e_4', 'e_1', 'e_3' )
% 1.00/1.36 , product( 'e_4', 'e_2', 'e_3' ) ] )
% 1.00/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 1.00/1.36 , 2 )] ) ).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1406, [ product( 'e_4', 'e_1', 'e_3' ), product( 'e_4', 'e_2',
% 1.00/1.36 'e_3' ) ] )
% 1.00/1.36 , clause( 17, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 1.00/1.36 , 0, clause( 191, [ equalish( 'e_4', 'e_3' ), product( 'e_4', 'e_1', 'e_3'
% 1.00/1.36 ), product( 'e_4', 'e_2', 'e_3' ) ] )
% 1.00/1.36 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 subsumption(
% 1.00/1.36 clause( 192, [ product( 'e_4', 'e_1', 'e_3' ), product( 'e_4', 'e_2', 'e_3'
% 1.00/1.36 ) ] )
% 1.00/1.36 , clause( 1406, [ product( 'e_4', 'e_1', 'e_3' ), product( 'e_4', 'e_2',
% 1.00/1.36 'e_3' ) ] )
% 1.00/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.00/1.36 ).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1408, [ equalish( 'e_4', 'e_3' ), ~( product( 'e_3', 'e_4', 'e_2' )
% 1.00/1.36 ), product( 'e_4', 'e_1', 'e_3' ) ] )
% 1.00/1.36 , clause( 34, [ equalish( X, Y ), ~( product( X, Z, Y ) ), ~( product( Y, X
% 1.00/1.36 , Z ) ) ] )
% 1.00/1.36 , 1, clause( 192, [ product( 'e_4', 'e_1', 'e_3' ), product( 'e_4', 'e_2',
% 1.00/1.36 'e_3' ) ] )
% 1.00/1.36 , 1, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_3' ), :=( Z, 'e_2' )] ),
% 1.00/1.36 substitution( 1, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1412, [ ~( product( 'e_3', 'e_4', 'e_2' ) ), product( 'e_4', 'e_1'
% 1.00/1.36 , 'e_3' ) ] )
% 1.00/1.36 , clause( 17, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 1.00/1.36 , 0, clause( 1408, [ equalish( 'e_4', 'e_3' ), ~( product( 'e_3', 'e_4',
% 1.00/1.36 'e_2' ) ), product( 'e_4', 'e_1', 'e_3' ) ] )
% 1.00/1.36 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 subsumption(
% 1.00/1.36 clause( 203, [ ~( product( 'e_3', 'e_4', 'e_2' ) ), product( 'e_4', 'e_1',
% 1.00/1.36 'e_3' ) ] )
% 1.00/1.36 , clause( 1412, [ ~( product( 'e_3', 'e_4', 'e_2' ) ), product( 'e_4',
% 1.00/1.36 'e_1', 'e_3' ) ] )
% 1.00/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.00/1.36 ).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1416, [ equalish( 'e_2', 'e_4' ), ~( product( 'e_2', 'e_3', 'e_4' )
% 1.00/1.36 ), product( 'e_4', 'e_1', 'e_3' ) ] )
% 1.00/1.36 , clause( 34, [ equalish( X, Y ), ~( product( X, Z, Y ) ), ~( product( Y, X
% 1.00/1.36 , Z ) ) ] )
% 1.00/1.36 , 2, clause( 192, [ product( 'e_4', 'e_1', 'e_3' ), product( 'e_4', 'e_2',
% 1.00/1.36 'e_3' ) ] )
% 1.00/1.36 , 1, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_4' ), :=( Z, 'e_3' )] ),
% 1.00/1.36 substitution( 1, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1417, [ ~( product( 'e_2', 'e_3', 'e_4' ) ), product( 'e_4', 'e_1'
% 1.00/1.36 , 'e_3' ) ] )
% 1.00/1.36 , clause( 11, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 1.00/1.36 , 0, clause( 1416, [ equalish( 'e_2', 'e_4' ), ~( product( 'e_2', 'e_3',
% 1.00/1.36 'e_4' ) ), product( 'e_4', 'e_1', 'e_3' ) ] )
% 1.00/1.36 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 subsumption(
% 1.00/1.36 clause( 204, [ product( 'e_4', 'e_1', 'e_3' ), ~( product( 'e_2', 'e_3',
% 1.00/1.36 'e_4' ) ) ] )
% 1.00/1.36 , clause( 1417, [ ~( product( 'e_2', 'e_3', 'e_4' ) ), product( 'e_4',
% 1.00/1.36 'e_1', 'e_3' ) ] )
% 1.00/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 1.00/1.36 ).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1419, [ equalish( 'e_1', 'e_4' ), ~( product( 'e_1', 'e_3', 'e_4' )
% 1.00/1.36 ), ~( product( 'e_3', 'e_4', 'e_2' ) ) ] )
% 1.00/1.36 , clause( 34, [ equalish( X, Y ), ~( product( X, Z, Y ) ), ~( product( Y, X
% 1.00/1.36 , Z ) ) ] )
% 1.00/1.36 , 2, clause( 203, [ ~( product( 'e_3', 'e_4', 'e_2' ) ), product( 'e_4',
% 1.00/1.36 'e_1', 'e_3' ) ] )
% 1.00/1.36 , 1, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_4' ), :=( Z, 'e_3' )] ),
% 1.00/1.36 substitution( 1, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1420, [ ~( product( 'e_1', 'e_3', 'e_4' ) ), ~( product( 'e_3',
% 1.00/1.36 'e_4', 'e_2' ) ) ] )
% 1.00/1.36 , clause( 8, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 1.00/1.36 , 0, clause( 1419, [ equalish( 'e_1', 'e_4' ), ~( product( 'e_1', 'e_3',
% 1.00/1.36 'e_4' ) ), ~( product( 'e_3', 'e_4', 'e_2' ) ) ] )
% 1.00/1.36 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 subsumption(
% 1.00/1.36 clause( 222, [ ~( product( 'e_3', 'e_4', 'e_2' ) ), ~( product( 'e_1',
% 1.00/1.36 'e_3', 'e_4' ) ) ] )
% 1.00/1.36 , clause( 1420, [ ~( product( 'e_1', 'e_3', 'e_4' ) ), ~( product( 'e_3',
% 1.00/1.36 'e_4', 'e_2' ) ) ] )
% 1.00/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 1.00/1.36 ).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1423, [ equalish( 'e_3', 'e_4' ), ~( 'group_element'( 'e_3' ) ),
% 1.00/1.36 equalish( 'e_3', 'e_4' ), product( 'e_3', 'e_1', 'e_4' ), product( 'e_3'
% 1.00/1.36 , 'e_2', 'e_4' ) ] )
% 1.00/1.36 , clause( 50, [ equalish( X, Y ), ~( product( X, X, Y ) ) ] )
% 1.00/1.36 , 1, clause( 66, [ ~( 'group_element'( X ) ), equalish( X, 'e_4' ), product(
% 1.00/1.36 X, 'e_1', 'e_4' ), product( X, 'e_2', 'e_4' ), product( X, 'e_3', 'e_4' )
% 1.00/1.36 ] )
% 1.00/1.36 , 4, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_4' )] ), substitution( 1
% 1.00/1.36 , [ :=( X, 'e_3' )] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1427, [ equalish( 'e_3', 'e_4' ), equalish( 'e_3', 'e_4' ), product(
% 1.00/1.36 'e_3', 'e_1', 'e_4' ), product( 'e_3', 'e_2', 'e_4' ) ] )
% 1.00/1.36 , clause( 1423, [ equalish( 'e_3', 'e_4' ), ~( 'group_element'( 'e_3' ) ),
% 1.00/1.36 equalish( 'e_3', 'e_4' ), product( 'e_3', 'e_1', 'e_4' ), product( 'e_3'
% 1.00/1.36 , 'e_2', 'e_4' ) ] )
% 1.00/1.36 , 1, clause( 4, [ 'group_element'( 'e_3' ) ] )
% 1.00/1.36 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 factor(
% 1.00/1.36 clause( 1428, [ equalish( 'e_3', 'e_4' ), product( 'e_3', 'e_1', 'e_4' ),
% 1.00/1.36 product( 'e_3', 'e_2', 'e_4' ) ] )
% 1.00/1.36 , clause( 1427, [ equalish( 'e_3', 'e_4' ), equalish( 'e_3', 'e_4' ),
% 1.00/1.36 product( 'e_3', 'e_1', 'e_4' ), product( 'e_3', 'e_2', 'e_4' ) ] )
% 1.00/1.36 , 0, 1, substitution( 0, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 subsumption(
% 1.00/1.36 clause( 314, [ equalish( 'e_3', 'e_4' ), product( 'e_3', 'e_1', 'e_4' ),
% 1.00/1.36 product( 'e_3', 'e_2', 'e_4' ) ] )
% 1.00/1.36 , clause( 1428, [ equalish( 'e_3', 'e_4' ), product( 'e_3', 'e_1', 'e_4' )
% 1.00/1.36 , product( 'e_3', 'e_2', 'e_4' ) ] )
% 1.00/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 1.00/1.36 , 2 )] ) ).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1429, [ product( 'e_3', 'e_1', 'e_4' ), product( 'e_3', 'e_2',
% 1.00/1.36 'e_4' ) ] )
% 1.00/1.36 , clause( 14, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 1.00/1.36 , 0, clause( 314, [ equalish( 'e_3', 'e_4' ), product( 'e_3', 'e_1', 'e_4'
% 1.00/1.36 ), product( 'e_3', 'e_2', 'e_4' ) ] )
% 1.00/1.36 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 subsumption(
% 1.00/1.36 clause( 315, [ product( 'e_3', 'e_1', 'e_4' ), product( 'e_3', 'e_2', 'e_4'
% 1.00/1.36 ) ] )
% 1.00/1.36 , clause( 1429, [ product( 'e_3', 'e_1', 'e_4' ), product( 'e_3', 'e_2',
% 1.00/1.36 'e_4' ) ] )
% 1.00/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.00/1.36 ).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1430, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_3', 'e_1',
% 1.00/1.36 'e_4' ) ] )
% 1.00/1.36 , clause( 130, [ product( 'e_4', 'e_3', 'e_1' ), ~( product( 'e_3', 'e_2',
% 1.00/1.36 'e_4' ) ) ] )
% 1.00/1.36 , 1, clause( 315, [ product( 'e_3', 'e_1', 'e_4' ), product( 'e_3', 'e_2',
% 1.00/1.36 'e_4' ) ] )
% 1.00/1.36 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 subsumption(
% 1.00/1.36 clause( 323, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_4'
% 1.00/1.36 ) ] )
% 1.00/1.36 , clause( 1430, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_3', 'e_1',
% 1.00/1.36 'e_4' ) ] )
% 1.00/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.00/1.36 ).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1432, [ equalish( 'e_3', 'e_4' ), ~( product( 'e_4', 'e_3', 'e_2' )
% 1.00/1.36 ), product( 'e_3', 'e_1', 'e_4' ) ] )
% 1.00/1.36 , clause( 34, [ equalish( X, Y ), ~( product( X, Z, Y ) ), ~( product( Y, X
% 1.00/1.36 , Z ) ) ] )
% 1.00/1.36 , 1, clause( 315, [ product( 'e_3', 'e_1', 'e_4' ), product( 'e_3', 'e_2',
% 1.00/1.36 'e_4' ) ] )
% 1.00/1.36 , 1, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_4' ), :=( Z, 'e_2' )] ),
% 1.00/1.36 substitution( 1, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1436, [ ~( product( 'e_4', 'e_3', 'e_2' ) ), product( 'e_3', 'e_1'
% 1.00/1.36 , 'e_4' ) ] )
% 1.00/1.36 , clause( 14, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 1.00/1.36 , 0, clause( 1432, [ equalish( 'e_3', 'e_4' ), ~( product( 'e_4', 'e_3',
% 1.00/1.36 'e_2' ) ), product( 'e_3', 'e_1', 'e_4' ) ] )
% 1.00/1.36 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 subsumption(
% 1.00/1.36 clause( 334, [ ~( product( 'e_4', 'e_3', 'e_2' ) ), product( 'e_3', 'e_1',
% 1.00/1.36 'e_4' ) ] )
% 1.00/1.36 , clause( 1436, [ ~( product( 'e_4', 'e_3', 'e_2' ) ), product( 'e_3',
% 1.00/1.36 'e_1', 'e_4' ) ] )
% 1.00/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.00/1.36 ).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1439, [ equalish( 'e_3', 'e_4' ), ~( 'group_element'( 'e_3' ) ),
% 1.00/1.36 equalish( 'e_3', 'e_4' ), product( 'e_1', 'e_3', 'e_4' ), product( 'e_2'
% 1.00/1.36 , 'e_3', 'e_4' ) ] )
% 1.00/1.36 , clause( 50, [ equalish( X, Y ), ~( product( X, X, Y ) ) ] )
% 1.00/1.36 , 1, clause( 81, [ ~( 'group_element'( X ) ), equalish( X, 'e_4' ), product(
% 1.00/1.36 'e_1', X, 'e_4' ), product( 'e_2', X, 'e_4' ), product( 'e_3', X, 'e_4' )
% 1.00/1.36 ] )
% 1.00/1.36 , 4, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_4' )] ), substitution( 1
% 1.00/1.36 , [ :=( X, 'e_3' )] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1443, [ equalish( 'e_3', 'e_4' ), equalish( 'e_3', 'e_4' ), product(
% 1.00/1.36 'e_1', 'e_3', 'e_4' ), product( 'e_2', 'e_3', 'e_4' ) ] )
% 1.00/1.36 , clause( 1439, [ equalish( 'e_3', 'e_4' ), ~( 'group_element'( 'e_3' ) ),
% 1.00/1.36 equalish( 'e_3', 'e_4' ), product( 'e_1', 'e_3', 'e_4' ), product( 'e_2'
% 1.00/1.36 , 'e_3', 'e_4' ) ] )
% 1.00/1.36 , 1, clause( 4, [ 'group_element'( 'e_3' ) ] )
% 1.00/1.36 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 factor(
% 1.00/1.36 clause( 1444, [ equalish( 'e_3', 'e_4' ), product( 'e_1', 'e_3', 'e_4' ),
% 1.00/1.36 product( 'e_2', 'e_3', 'e_4' ) ] )
% 1.00/1.36 , clause( 1443, [ equalish( 'e_3', 'e_4' ), equalish( 'e_3', 'e_4' ),
% 1.00/1.36 product( 'e_1', 'e_3', 'e_4' ), product( 'e_2', 'e_3', 'e_4' ) ] )
% 1.00/1.36 , 0, 1, substitution( 0, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 subsumption(
% 1.00/1.36 clause( 495, [ equalish( 'e_3', 'e_4' ), product( 'e_1', 'e_3', 'e_4' ),
% 1.00/1.36 product( 'e_2', 'e_3', 'e_4' ) ] )
% 1.00/1.36 , clause( 1444, [ equalish( 'e_3', 'e_4' ), product( 'e_1', 'e_3', 'e_4' )
% 1.00/1.36 , product( 'e_2', 'e_3', 'e_4' ) ] )
% 1.00/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 1.00/1.36 , 2 )] ) ).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1445, [ product( 'e_1', 'e_3', 'e_4' ), product( 'e_2', 'e_3',
% 1.00/1.36 'e_4' ) ] )
% 1.00/1.36 , clause( 14, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 1.00/1.36 , 0, clause( 495, [ equalish( 'e_3', 'e_4' ), product( 'e_1', 'e_3', 'e_4'
% 1.00/1.36 ), product( 'e_2', 'e_3', 'e_4' ) ] )
% 1.00/1.36 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 subsumption(
% 1.00/1.36 clause( 566, [ product( 'e_1', 'e_3', 'e_4' ), product( 'e_2', 'e_3', 'e_4'
% 1.00/1.36 ) ] )
% 1.00/1.36 , clause( 1445, [ product( 'e_1', 'e_3', 'e_4' ), product( 'e_2', 'e_3',
% 1.00/1.36 'e_4' ) ] )
% 1.00/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.00/1.36 ).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1446, [ product( 'e_4', 'e_1', 'e_3' ), product( 'e_1', 'e_3',
% 1.00/1.36 'e_4' ) ] )
% 1.00/1.36 , clause( 204, [ product( 'e_4', 'e_1', 'e_3' ), ~( product( 'e_2', 'e_3',
% 1.00/1.36 'e_4' ) ) ] )
% 1.00/1.36 , 1, clause( 566, [ product( 'e_1', 'e_3', 'e_4' ), product( 'e_2', 'e_3',
% 1.00/1.36 'e_4' ) ] )
% 1.00/1.36 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 subsumption(
% 1.00/1.36 clause( 567, [ product( 'e_4', 'e_1', 'e_3' ), product( 'e_1', 'e_3', 'e_4'
% 1.00/1.36 ) ] )
% 1.00/1.36 , clause( 1446, [ product( 'e_4', 'e_1', 'e_3' ), product( 'e_1', 'e_3',
% 1.00/1.36 'e_4' ) ] )
% 1.00/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.00/1.36 ).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1450, [ equalish( 'e_3', 'e_2' ), ~( product( 'e_3', 'e_4', 'e_2' )
% 1.00/1.36 ), product( 'e_1', 'e_3', 'e_4' ) ] )
% 1.00/1.36 , clause( 34, [ equalish( X, Y ), ~( product( X, Z, Y ) ), ~( product( Y, X
% 1.00/1.36 , Z ) ) ] )
% 1.00/1.36 , 2, clause( 566, [ product( 'e_1', 'e_3', 'e_4' ), product( 'e_2', 'e_3',
% 1.00/1.36 'e_4' ) ] )
% 1.00/1.36 , 1, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_2' ), :=( Z, 'e_4' )] ),
% 1.00/1.36 substitution( 1, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1452, [ ~( product( 'e_3', 'e_4', 'e_2' ) ), equalish( 'e_3', 'e_2'
% 1.00/1.36 ), ~( product( 'e_3', 'e_4', 'e_2' ) ) ] )
% 1.00/1.36 , clause( 222, [ ~( product( 'e_3', 'e_4', 'e_2' ) ), ~( product( 'e_1',
% 1.00/1.36 'e_3', 'e_4' ) ) ] )
% 1.00/1.36 , 1, clause( 1450, [ equalish( 'e_3', 'e_2' ), ~( product( 'e_3', 'e_4',
% 1.00/1.36 'e_2' ) ), product( 'e_1', 'e_3', 'e_4' ) ] )
% 1.00/1.36 , 2, substitution( 0, [] ), substitution( 1, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 factor(
% 1.00/1.36 clause( 1453, [ ~( product( 'e_3', 'e_4', 'e_2' ) ), equalish( 'e_3', 'e_2'
% 1.00/1.36 ) ] )
% 1.00/1.36 , clause( 1452, [ ~( product( 'e_3', 'e_4', 'e_2' ) ), equalish( 'e_3',
% 1.00/1.36 'e_2' ), ~( product( 'e_3', 'e_4', 'e_2' ) ) ] )
% 1.00/1.36 , 0, 2, substitution( 0, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 subsumption(
% 1.00/1.36 clause( 579, [ equalish( 'e_3', 'e_2' ), ~( product( 'e_3', 'e_4', 'e_2' )
% 1.00/1.36 ) ] )
% 1.00/1.36 , clause( 1453, [ ~( product( 'e_3', 'e_4', 'e_2' ) ), equalish( 'e_3',
% 1.00/1.36 'e_2' ) ] )
% 1.00/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 1.00/1.36 ).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1454, [ ~( product( 'e_3', 'e_4', 'e_2' ) ) ] )
% 1.00/1.36 , clause( 13, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 1.00/1.36 , 0, clause( 579, [ equalish( 'e_3', 'e_2' ), ~( product( 'e_3', 'e_4',
% 1.00/1.36 'e_2' ) ) ] )
% 1.00/1.36 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 subsumption(
% 1.00/1.36 clause( 589, [ ~( product( 'e_3', 'e_4', 'e_2' ) ) ] )
% 1.00/1.36 , clause( 1454, [ ~( product( 'e_3', 'e_4', 'e_2' ) ) ] )
% 1.00/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1455, [ ~( 'group_element'( 'e_2' ) ), equalish( 'e_2', 'e_4' ),
% 1.00/1.36 product( 'e_1', 'e_4', 'e_2' ), product( 'e_2', 'e_4', 'e_2' ) ] )
% 1.00/1.36 , clause( 589, [ ~( product( 'e_3', 'e_4', 'e_2' ) ) ] )
% 1.00/1.36 , 0, clause( 61, [ ~( 'group_element'( X ) ), equalish( X, 'e_4' ), product(
% 1.00/1.36 'e_1', 'e_4', X ), product( 'e_2', 'e_4', X ), product( 'e_3', 'e_4', X )
% 1.00/1.36 ] )
% 1.00/1.36 , 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'e_2' )] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1456, [ equalish( 'e_2', 'e_4' ), product( 'e_1', 'e_4', 'e_2' ),
% 1.00/1.36 product( 'e_2', 'e_4', 'e_2' ) ] )
% 1.00/1.36 , clause( 1455, [ ~( 'group_element'( 'e_2' ) ), equalish( 'e_2', 'e_4' ),
% 1.00/1.36 product( 'e_1', 'e_4', 'e_2' ), product( 'e_2', 'e_4', 'e_2' ) ] )
% 1.00/1.36 , 0, clause( 3, [ 'group_element'( 'e_2' ) ] )
% 1.00/1.36 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 subsumption(
% 1.00/1.36 clause( 592, [ equalish( 'e_2', 'e_4' ), product( 'e_1', 'e_4', 'e_2' ),
% 1.00/1.36 product( 'e_2', 'e_4', 'e_2' ) ] )
% 1.00/1.36 , clause( 1456, [ equalish( 'e_2', 'e_4' ), product( 'e_1', 'e_4', 'e_2' )
% 1.00/1.36 , product( 'e_2', 'e_4', 'e_2' ) ] )
% 1.00/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 1.00/1.36 , 2 )] ) ).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1460, [ equalish( 'e_3', 'e_1' ), ~( product( 'e_3', 'e_4', 'e_1' )
% 1.00/1.36 ), product( 'e_4', 'e_1', 'e_3' ) ] )
% 1.00/1.36 , clause( 34, [ equalish( X, Y ), ~( product( X, Z, Y ) ), ~( product( Y, X
% 1.00/1.36 , Z ) ) ] )
% 1.00/1.36 , 2, clause( 567, [ product( 'e_4', 'e_1', 'e_3' ), product( 'e_1', 'e_3',
% 1.00/1.36 'e_4' ) ] )
% 1.00/1.36 , 1, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_1' ), :=( Z, 'e_4' )] ),
% 1.00/1.36 substitution( 1, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1470, [ equalish( 'e_3', 'e_1' ), ~( product( 'e_3', 'e_4', 'e_1' )
% 1.00/1.36 ), equalish( 'e_3', 'e_1' ), ~( product( 'e_3', 'e_4', 'e_1' ) ) ] )
% 1.00/1.36 , clause( 36, [ equalish( X, Y ), ~( product( Z, Y, X ) ), ~( product( X, Z
% 1.00/1.36 , Y ) ) ] )
% 1.00/1.36 , 1, clause( 1460, [ equalish( 'e_3', 'e_1' ), ~( product( 'e_3', 'e_4',
% 1.00/1.36 'e_1' ) ), product( 'e_4', 'e_1', 'e_3' ) ] )
% 1.00/1.36 , 2, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_1' ), :=( Z, 'e_4' )] ),
% 1.00/1.36 substitution( 1, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 factor(
% 1.00/1.36 clause( 1472, [ equalish( 'e_3', 'e_1' ), ~( product( 'e_3', 'e_4', 'e_1' )
% 1.00/1.36 ), equalish( 'e_3', 'e_1' ) ] )
% 1.00/1.36 , clause( 1470, [ equalish( 'e_3', 'e_1' ), ~( product( 'e_3', 'e_4', 'e_1'
% 1.00/1.36 ) ), equalish( 'e_3', 'e_1' ), ~( product( 'e_3', 'e_4', 'e_1' ) ) ] )
% 1.00/1.36 , 1, 3, substitution( 0, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 factor(
% 1.00/1.36 clause( 1473, [ equalish( 'e_3', 'e_1' ), ~( product( 'e_3', 'e_4', 'e_1' )
% 1.00/1.36 ) ] )
% 1.00/1.36 , clause( 1472, [ equalish( 'e_3', 'e_1' ), ~( product( 'e_3', 'e_4', 'e_1'
% 1.00/1.36 ) ), equalish( 'e_3', 'e_1' ) ] )
% 1.00/1.36 , 0, 2, substitution( 0, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 subsumption(
% 1.00/1.36 clause( 609, [ equalish( 'e_3', 'e_1' ), ~( product( 'e_3', 'e_4', 'e_1' )
% 1.00/1.36 ) ] )
% 1.00/1.36 , clause( 1473, [ equalish( 'e_3', 'e_1' ), ~( product( 'e_3', 'e_4', 'e_1'
% 1.00/1.36 ) ) ] )
% 1.00/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.00/1.36 ).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1474, [ ~( product( 'e_3', 'e_4', 'e_1' ) ) ] )
% 1.00/1.36 , clause( 12, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 1.00/1.36 , 0, clause( 609, [ equalish( 'e_3', 'e_1' ), ~( product( 'e_3', 'e_4',
% 1.00/1.36 'e_1' ) ) ] )
% 1.00/1.36 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 subsumption(
% 1.00/1.36 clause( 618, [ ~( product( 'e_3', 'e_4', 'e_1' ) ) ] )
% 1.00/1.36 , clause( 1474, [ ~( product( 'e_3', 'e_4', 'e_1' ) ) ] )
% 1.00/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1475, [ ~( 'group_element'( 'e_1' ) ), equalish( 'e_1', 'e_4' ),
% 1.00/1.36 product( 'e_1', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_1' ) ] )
% 1.00/1.36 , clause( 618, [ ~( product( 'e_3', 'e_4', 'e_1' ) ) ] )
% 1.00/1.36 , 0, clause( 61, [ ~( 'group_element'( X ) ), equalish( X, 'e_4' ), product(
% 1.00/1.36 'e_1', 'e_4', X ), product( 'e_2', 'e_4', X ), product( 'e_3', 'e_4', X )
% 1.00/1.36 ] )
% 1.00/1.36 , 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'e_1' )] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1476, [ equalish( 'e_1', 'e_4' ), product( 'e_1', 'e_4', 'e_1' ),
% 1.00/1.36 product( 'e_2', 'e_4', 'e_1' ) ] )
% 1.00/1.36 , clause( 1475, [ ~( 'group_element'( 'e_1' ) ), equalish( 'e_1', 'e_4' ),
% 1.00/1.36 product( 'e_1', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_1' ) ] )
% 1.00/1.36 , 0, clause( 2, [ 'group_element'( 'e_1' ) ] )
% 1.00/1.36 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 subsumption(
% 1.00/1.36 clause( 621, [ equalish( 'e_1', 'e_4' ), product( 'e_1', 'e_4', 'e_1' ),
% 1.00/1.36 product( 'e_2', 'e_4', 'e_1' ) ] )
% 1.00/1.36 , clause( 1476, [ equalish( 'e_1', 'e_4' ), product( 'e_1', 'e_4', 'e_1' )
% 1.00/1.36 , product( 'e_2', 'e_4', 'e_1' ) ] )
% 1.00/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 1.00/1.36 , 2 )] ) ).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1477, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_2', 'e_4',
% 1.00/1.36 'e_1' ) ] )
% 1.00/1.36 , clause( 8, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 1.00/1.36 , 0, clause( 621, [ equalish( 'e_1', 'e_4' ), product( 'e_1', 'e_4', 'e_1'
% 1.00/1.36 ), product( 'e_2', 'e_4', 'e_1' ) ] )
% 1.00/1.36 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 subsumption(
% 1.00/1.36 clause( 767, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_1'
% 1.00/1.36 ) ] )
% 1.00/1.36 , clause( 1477, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_2', 'e_4',
% 1.00/1.36 'e_1' ) ] )
% 1.00/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.00/1.36 ).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1481, [ equalish( 'e_4', 'e_2' ), ~( product( 'e_4', 'e_1', 'e_2' )
% 1.00/1.36 ), product( 'e_1', 'e_4', 'e_1' ) ] )
% 1.00/1.36 , clause( 34, [ equalish( X, Y ), ~( product( X, Z, Y ) ), ~( product( Y, X
% 1.00/1.36 , Z ) ) ] )
% 1.00/1.36 , 2, clause( 767, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_2', 'e_4',
% 1.00/1.36 'e_1' ) ] )
% 1.00/1.36 , 1, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_2' ), :=( Z, 'e_1' )] ),
% 1.00/1.36 substitution( 1, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1482, [ ~( product( 'e_4', 'e_1', 'e_2' ) ), product( 'e_1', 'e_4'
% 1.00/1.36 , 'e_1' ) ] )
% 1.00/1.36 , clause( 16, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 1.00/1.36 , 0, clause( 1481, [ equalish( 'e_4', 'e_2' ), ~( product( 'e_4', 'e_1',
% 1.00/1.36 'e_2' ) ), product( 'e_1', 'e_4', 'e_1' ) ] )
% 1.00/1.36 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 subsumption(
% 1.00/1.36 clause( 781, [ product( 'e_1', 'e_4', 'e_1' ), ~( product( 'e_4', 'e_1',
% 1.00/1.36 'e_2' ) ) ] )
% 1.00/1.36 , clause( 1482, [ ~( product( 'e_4', 'e_1', 'e_2' ) ), product( 'e_1',
% 1.00/1.36 'e_4', 'e_1' ) ] )
% 1.00/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 1.00/1.36 ).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1486, [ equalish( X, 'e_1' ), ~( product( 'e_2', 'e_4', X ) ),
% 1.00/1.36 product( 'e_1', 'e_4', 'e_1' ) ] )
% 1.00/1.36 , clause( 19, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y
% 1.00/1.36 , T ) ) ] )
% 1.00/1.36 , 2, clause( 767, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_2', 'e_4',
% 1.00/1.36 'e_1' ) ] )
% 1.00/1.36 , 1, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_4' ), :=( Z, X ), :=( T,
% 1.00/1.36 'e_1' )] ), substitution( 1, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 subsumption(
% 1.00/1.36 clause( 787, [ equalish( X, 'e_1' ), ~( product( 'e_2', 'e_4', X ) ),
% 1.00/1.36 product( 'e_1', 'e_4', 'e_1' ) ] )
% 1.00/1.36 , clause( 1486, [ equalish( X, 'e_1' ), ~( product( 'e_2', 'e_4', X ) ),
% 1.00/1.36 product( 'e_1', 'e_4', 'e_1' ) ] )
% 1.00/1.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.00/1.36 1 ), ==>( 2, 2 )] ) ).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1487, [ equalish( 'e_4', 'e_1' ), equalish( X, 'e_1' ), ~( product(
% 1.00/1.36 'e_2', 'e_4', X ) ) ] )
% 1.00/1.36 , clause( 71, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 1.00/1.36 , 1, clause( 787, [ equalish( X, 'e_1' ), ~( product( 'e_2', 'e_4', X ) ),
% 1.00/1.36 product( 'e_1', 'e_4', 'e_1' ) ] )
% 1.00/1.36 , 2, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_1' )] ), substitution( 1
% 1.00/1.36 , [ :=( X, X )] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1490, [ equalish( X, 'e_1' ), ~( product( 'e_2', 'e_4', X ) ) ] )
% 1.00/1.36 , clause( 15, [ ~( equalish( 'e_4', 'e_1' ) ) ] )
% 1.00/1.36 , 0, clause( 1487, [ equalish( 'e_4', 'e_1' ), equalish( X, 'e_1' ), ~(
% 1.00/1.36 product( 'e_2', 'e_4', X ) ) ] )
% 1.00/1.36 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 subsumption(
% 1.00/1.36 clause( 852, [ equalish( X, 'e_1' ), ~( product( 'e_2', 'e_4', X ) ) ] )
% 1.00/1.36 , clause( 1490, [ equalish( X, 'e_1' ), ~( product( 'e_2', 'e_4', X ) ) ]
% 1.00/1.36 )
% 1.00/1.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.00/1.36 1 )] ) ).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1491, [ product( 'e_1', 'e_4', 'e_2' ), product( 'e_2', 'e_4',
% 1.00/1.36 'e_2' ) ] )
% 1.00/1.36 , clause( 11, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 1.00/1.36 , 0, clause( 592, [ equalish( 'e_2', 'e_4' ), product( 'e_1', 'e_4', 'e_2'
% 1.00/1.36 ), product( 'e_2', 'e_4', 'e_2' ) ] )
% 1.00/1.36 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 subsumption(
% 1.00/1.36 clause( 863, [ product( 'e_1', 'e_4', 'e_2' ), product( 'e_2', 'e_4', 'e_2'
% 1.00/1.36 ) ] )
% 1.00/1.36 , clause( 1491, [ product( 'e_1', 'e_4', 'e_2' ), product( 'e_2', 'e_4',
% 1.00/1.36 'e_2' ) ] )
% 1.00/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.00/1.36 ).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1492, [ equalish( 'e_2', 'e_1' ), product( 'e_1', 'e_4', 'e_2' ) ]
% 1.00/1.36 )
% 1.00/1.36 , clause( 852, [ equalish( X, 'e_1' ), ~( product( 'e_2', 'e_4', X ) ) ] )
% 1.00/1.36 , 1, clause( 863, [ product( 'e_1', 'e_4', 'e_2' ), product( 'e_2', 'e_4',
% 1.00/1.36 'e_2' ) ] )
% 1.00/1.36 , 1, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1493, [ product( 'e_1', 'e_4', 'e_2' ) ] )
% 1.00/1.36 , clause( 9, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 1.00/1.36 , 0, clause( 1492, [ equalish( 'e_2', 'e_1' ), product( 'e_1', 'e_4', 'e_2'
% 1.00/1.36 ) ] )
% 1.00/1.36 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 subsumption(
% 1.00/1.36 clause( 864, [ product( 'e_1', 'e_4', 'e_2' ) ] )
% 1.00/1.36 , clause( 1493, [ product( 'e_1', 'e_4', 'e_2' ) ] )
% 1.00/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1495, [ equalish( 'e_4', 'e_1' ), ~( product( 'e_4', 'e_2', 'e_1' )
% 1.00/1.36 ) ] )
% 1.00/1.36 , clause( 34, [ equalish( X, Y ), ~( product( X, Z, Y ) ), ~( product( Y, X
% 1.00/1.36 , Z ) ) ] )
% 1.00/1.36 , 2, clause( 864, [ product( 'e_1', 'e_4', 'e_2' ) ] )
% 1.00/1.36 , 0, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_1' ), :=( Z, 'e_2' )] ),
% 1.00/1.36 substitution( 1, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1496, [ ~( product( 'e_4', 'e_2', 'e_1' ) ) ] )
% 1.00/1.36 , clause( 15, [ ~( equalish( 'e_4', 'e_1' ) ) ] )
% 1.00/1.36 , 0, clause( 1495, [ equalish( 'e_4', 'e_1' ), ~( product( 'e_4', 'e_2',
% 1.00/1.36 'e_1' ) ) ] )
% 1.00/1.36 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 subsumption(
% 1.00/1.36 clause( 884, [ ~( product( 'e_4', 'e_2', 'e_1' ) ) ] )
% 1.00/1.36 , clause( 1496, [ ~( product( 'e_4', 'e_2', 'e_1' ) ) ] )
% 1.00/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1498, [ equalish( X, 'e_2' ), ~( product( 'e_1', 'e_4', X ) ) ] )
% 1.00/1.36 , clause( 19, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y
% 1.00/1.36 , T ) ) ] )
% 1.00/1.36 , 2, clause( 864, [ product( 'e_1', 'e_4', 'e_2' ) ] )
% 1.00/1.36 , 0, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_4' ), :=( Z, X ), :=( T,
% 1.00/1.36 'e_2' )] ), substitution( 1, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 subsumption(
% 1.00/1.36 clause( 892, [ equalish( X, 'e_2' ), ~( product( 'e_1', 'e_4', X ) ) ] )
% 1.00/1.36 , clause( 1498, [ equalish( X, 'e_2' ), ~( product( 'e_1', 'e_4', X ) ) ]
% 1.00/1.36 )
% 1.00/1.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.00/1.36 1 )] ) ).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1499, [ ~( 'group_element'( 'e_1' ) ), equalish( 'e_4', 'e_1' ),
% 1.00/1.36 product( 'e_4', 'e_1', 'e_1' ), ~( product( 'e_3', 'e_1', 'e_4' ) ) ] )
% 1.00/1.36 , clause( 884, [ ~( product( 'e_4', 'e_2', 'e_1' ) ) ] )
% 1.00/1.36 , 0, clause( 190, [ ~( 'group_element'( X ) ), equalish( 'e_4', X ),
% 1.00/1.36 product( 'e_4', 'e_1', X ), ~( product( 'e_3', X, 'e_4' ) ), product(
% 1.00/1.36 'e_4', 'e_2', X ) ] )
% 1.00/1.36 , 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'e_1' )] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1500, [ equalish( 'e_4', 'e_1' ), product( 'e_4', 'e_1', 'e_1' ),
% 1.00/1.36 ~( product( 'e_3', 'e_1', 'e_4' ) ) ] )
% 1.00/1.36 , clause( 1499, [ ~( 'group_element'( 'e_1' ) ), equalish( 'e_4', 'e_1' ),
% 1.00/1.36 product( 'e_4', 'e_1', 'e_1' ), ~( product( 'e_3', 'e_1', 'e_4' ) ) ] )
% 1.00/1.36 , 0, clause( 2, [ 'group_element'( 'e_1' ) ] )
% 1.00/1.36 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 subsumption(
% 1.00/1.36 clause( 946, [ equalish( 'e_4', 'e_1' ), product( 'e_4', 'e_1', 'e_1' ),
% 1.00/1.36 ~( product( 'e_3', 'e_1', 'e_4' ) ) ] )
% 1.00/1.36 , clause( 1500, [ equalish( 'e_4', 'e_1' ), product( 'e_4', 'e_1', 'e_1' )
% 1.00/1.36 , ~( product( 'e_3', 'e_1', 'e_4' ) ) ] )
% 1.00/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 1.00/1.36 , 2 )] ) ).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1501, [ product( 'e_4', 'e_1', 'e_1' ), ~( product( 'e_3', 'e_1',
% 1.00/1.36 'e_4' ) ) ] )
% 1.00/1.36 , clause( 15, [ ~( equalish( 'e_4', 'e_1' ) ) ] )
% 1.00/1.36 , 0, clause( 946, [ equalish( 'e_4', 'e_1' ), product( 'e_4', 'e_1', 'e_1'
% 1.00/1.36 ), ~( product( 'e_3', 'e_1', 'e_4' ) ) ] )
% 1.00/1.36 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 subsumption(
% 1.00/1.36 clause( 979, [ product( 'e_4', 'e_1', 'e_1' ), ~( product( 'e_3', 'e_1',
% 1.00/1.36 'e_4' ) ) ] )
% 1.00/1.36 , clause( 1501, [ product( 'e_4', 'e_1', 'e_1' ), ~( product( 'e_3', 'e_1'
% 1.00/1.36 , 'e_4' ) ) ] )
% 1.00/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.00/1.36 ).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1502, [ product( 'e_4', 'e_1', 'e_1' ), product( 'e_4', 'e_3',
% 1.00/1.36 'e_1' ) ] )
% 1.00/1.36 , clause( 979, [ product( 'e_4', 'e_1', 'e_1' ), ~( product( 'e_3', 'e_1',
% 1.00/1.36 'e_4' ) ) ] )
% 1.00/1.36 , 1, clause( 323, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_3', 'e_1',
% 1.00/1.36 'e_4' ) ] )
% 1.00/1.36 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 subsumption(
% 1.00/1.36 clause( 993, [ product( 'e_4', 'e_1', 'e_1' ), product( 'e_4', 'e_3', 'e_1'
% 1.00/1.36 ) ] )
% 1.00/1.36 , clause( 1502, [ product( 'e_4', 'e_1', 'e_1' ), product( 'e_4', 'e_3',
% 1.00/1.36 'e_1' ) ] )
% 1.00/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.00/1.36 ).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1506, [ equalish( 'e_1', 'e_4' ), ~( product( 'e_3', 'e_1', 'e_4' )
% 1.00/1.36 ), product( 'e_4', 'e_1', 'e_1' ) ] )
% 1.00/1.36 , clause( 39, [ equalish( X, Y ), ~( product( Z, X, Y ) ), ~( product( Y, Z
% 1.00/1.36 , X ) ) ] )
% 1.00/1.36 , 2, clause( 993, [ product( 'e_4', 'e_1', 'e_1' ), product( 'e_4', 'e_3',
% 1.00/1.36 'e_1' ) ] )
% 1.00/1.36 , 1, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_4' ), :=( Z, 'e_3' )] ),
% 1.00/1.36 substitution( 1, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1508, [ equalish( 'e_1', 'e_4' ), equalish( 'e_1', 'e_4' ), ~(
% 1.00/1.36 product( 'e_3', 'e_1', 'e_4' ) ) ] )
% 1.00/1.36 , clause( 42, [ equalish( X, Y ), ~( product( Y, X, X ) ) ] )
% 1.00/1.36 , 1, clause( 1506, [ equalish( 'e_1', 'e_4' ), ~( product( 'e_3', 'e_1',
% 1.00/1.36 'e_4' ) ), product( 'e_4', 'e_1', 'e_1' ) ] )
% 1.00/1.36 , 2, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_4' )] ), substitution( 1
% 1.00/1.36 , [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 factor(
% 1.00/1.36 clause( 1509, [ equalish( 'e_1', 'e_4' ), ~( product( 'e_3', 'e_1', 'e_4' )
% 1.00/1.36 ) ] )
% 1.00/1.36 , clause( 1508, [ equalish( 'e_1', 'e_4' ), equalish( 'e_1', 'e_4' ), ~(
% 1.00/1.36 product( 'e_3', 'e_1', 'e_4' ) ) ] )
% 1.00/1.36 , 0, 1, substitution( 0, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 subsumption(
% 1.00/1.36 clause( 1023, [ equalish( 'e_1', 'e_4' ), ~( product( 'e_3', 'e_1', 'e_4' )
% 1.00/1.36 ) ] )
% 1.00/1.36 , clause( 1509, [ equalish( 'e_1', 'e_4' ), ~( product( 'e_3', 'e_1', 'e_4'
% 1.00/1.36 ) ) ] )
% 1.00/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.00/1.36 ).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1510, [ ~( product( 'e_3', 'e_1', 'e_4' ) ) ] )
% 1.00/1.36 , clause( 8, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 1.00/1.36 , 0, clause( 1023, [ equalish( 'e_1', 'e_4' ), ~( product( 'e_3', 'e_1',
% 1.00/1.36 'e_4' ) ) ] )
% 1.00/1.36 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 subsumption(
% 1.00/1.36 clause( 1025, [ ~( product( 'e_3', 'e_1', 'e_4' ) ) ] )
% 1.00/1.36 , clause( 1510, [ ~( product( 'e_3', 'e_1', 'e_4' ) ) ] )
% 1.00/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1511, [ ~( product( 'e_4', 'e_3', 'e_2' ) ) ] )
% 1.00/1.36 , clause( 1025, [ ~( product( 'e_3', 'e_1', 'e_4' ) ) ] )
% 1.00/1.36 , 0, clause( 334, [ ~( product( 'e_4', 'e_3', 'e_2' ) ), product( 'e_3',
% 1.00/1.36 'e_1', 'e_4' ) ] )
% 1.00/1.36 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 subsumption(
% 1.00/1.36 clause( 1040, [ ~( product( 'e_4', 'e_3', 'e_2' ) ) ] )
% 1.00/1.36 , clause( 1511, [ ~( product( 'e_4', 'e_3', 'e_2' ) ) ] )
% 1.00/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1512, [ ~( 'group_element'( 'e_2' ) ), equalish( 'e_2', 'e_4' ),
% 1.00/1.36 product( 'e_4', 'e_1', 'e_2' ), product( 'e_4', 'e_2', 'e_2' ) ] )
% 1.00/1.36 , clause( 1040, [ ~( product( 'e_4', 'e_3', 'e_2' ) ) ] )
% 1.00/1.36 , 0, clause( 60, [ ~( 'group_element'( X ) ), equalish( X, 'e_4' ), product(
% 1.00/1.36 'e_4', 'e_1', X ), product( 'e_4', 'e_2', X ), product( 'e_4', 'e_3', X )
% 1.00/1.36 ] )
% 1.00/1.36 , 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'e_2' )] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1513, [ equalish( 'e_2', 'e_4' ), product( 'e_4', 'e_1', 'e_2' ),
% 1.00/1.36 product( 'e_4', 'e_2', 'e_2' ) ] )
% 1.00/1.36 , clause( 1512, [ ~( 'group_element'( 'e_2' ) ), equalish( 'e_2', 'e_4' ),
% 1.00/1.36 product( 'e_4', 'e_1', 'e_2' ), product( 'e_4', 'e_2', 'e_2' ) ] )
% 1.00/1.36 , 0, clause( 3, [ 'group_element'( 'e_2' ) ] )
% 1.00/1.36 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 subsumption(
% 1.00/1.36 clause( 1050, [ equalish( 'e_2', 'e_4' ), product( 'e_4', 'e_1', 'e_2' ),
% 1.00/1.36 product( 'e_4', 'e_2', 'e_2' ) ] )
% 1.00/1.36 , clause( 1513, [ equalish( 'e_2', 'e_4' ), product( 'e_4', 'e_1', 'e_2' )
% 1.00/1.36 , product( 'e_4', 'e_2', 'e_2' ) ] )
% 1.00/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 1.00/1.36 , 2 )] ) ).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1514, [ product( 'e_4', 'e_1', 'e_2' ), product( 'e_4', 'e_2',
% 1.00/1.36 'e_2' ) ] )
% 1.00/1.36 , clause( 11, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 1.00/1.36 , 0, clause( 1050, [ equalish( 'e_2', 'e_4' ), product( 'e_4', 'e_1', 'e_2'
% 1.00/1.36 ), product( 'e_4', 'e_2', 'e_2' ) ] )
% 1.00/1.36 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 subsumption(
% 1.00/1.36 clause( 1099, [ product( 'e_4', 'e_1', 'e_2' ), product( 'e_4', 'e_2',
% 1.00/1.36 'e_2' ) ] )
% 1.00/1.36 , clause( 1514, [ product( 'e_4', 'e_1', 'e_2' ), product( 'e_4', 'e_2',
% 1.00/1.36 'e_2' ) ] )
% 1.00/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.00/1.36 ).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1515, [ equalish( 'e_4', 'e_2' ), product( 'e_4', 'e_1', 'e_2' ) ]
% 1.00/1.36 )
% 1.00/1.36 , clause( 43, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 1.00/1.36 , 1, clause( 1099, [ product( 'e_4', 'e_1', 'e_2' ), product( 'e_4', 'e_2'
% 1.00/1.36 , 'e_2' ) ] )
% 1.00/1.36 , 1, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_2' )] ), substitution( 1
% 1.00/1.36 , [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1516, [ product( 'e_4', 'e_1', 'e_2' ) ] )
% 1.00/1.36 , clause( 16, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 1.00/1.36 , 0, clause( 1515, [ equalish( 'e_4', 'e_2' ), product( 'e_4', 'e_1', 'e_2'
% 1.00/1.36 ) ] )
% 1.00/1.36 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 subsumption(
% 1.00/1.36 clause( 1116, [ product( 'e_4', 'e_1', 'e_2' ) ] )
% 1.00/1.36 , clause( 1516, [ product( 'e_4', 'e_1', 'e_2' ) ] )
% 1.00/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1517, [ product( 'e_1', 'e_4', 'e_1' ) ] )
% 1.00/1.36 , clause( 781, [ product( 'e_1', 'e_4', 'e_1' ), ~( product( 'e_4', 'e_1',
% 1.00/1.36 'e_2' ) ) ] )
% 1.00/1.36 , 1, clause( 1116, [ product( 'e_4', 'e_1', 'e_2' ) ] )
% 1.00/1.36 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 subsumption(
% 1.00/1.36 clause( 1117, [ product( 'e_1', 'e_4', 'e_1' ) ] )
% 1.00/1.36 , clause( 1517, [ product( 'e_1', 'e_4', 'e_1' ) ] )
% 1.00/1.36 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1518, [ equalish( 'e_1', 'e_2' ) ] )
% 1.00/1.36 , clause( 892, [ equalish( X, 'e_2' ), ~( product( 'e_1', 'e_4', X ) ) ] )
% 1.00/1.36 , 1, clause( 1117, [ product( 'e_1', 'e_4', 'e_1' ) ] )
% 1.00/1.36 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 resolution(
% 1.00/1.36 clause( 1519, [] )
% 1.00/1.36 , clause( 6, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 1.00/1.36 , 0, clause( 1518, [ equalish( 'e_1', 'e_2' ) ] )
% 1.00/1.36 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 subsumption(
% 1.00/1.36 clause( 1147, [] )
% 1.00/1.36 , clause( 1519, [] )
% 1.00/1.36 , substitution( 0, [] ), permutation( 0, [] ) ).
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 end.
% 1.00/1.36
% 1.00/1.36 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.00/1.36
% 1.00/1.36 Memory use:
% 1.00/1.36
% 1.00/1.36 space for terms: 17998
% 1.00/1.36 space for clauses: 44452
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 clauses generated: 26420
% 1.00/1.36 clauses kept: 1148
% 1.00/1.36 clauses selected: 432
% 1.00/1.36 clauses deleted: 146
% 1.00/1.36 clauses inuse deleted: 36
% 1.00/1.36
% 1.00/1.36 subsentry: 59346
% 1.00/1.36 literals s-matched: 44865
% 1.00/1.36 literals matched: 44690
% 1.00/1.36 full subsumption: 32997
% 1.00/1.36
% 1.00/1.36 checksum: -1983146312
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 Bliksem ended
%------------------------------------------------------------------------------