TSTP Solution File: GRP128-1.003 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP128-1.003 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.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 07:35:17 EDT 2022
% Result : Unsatisfiable 0.73s 1.09s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP128-1.003 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n019.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 07:39:39 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.73/1.09 *** allocated 10000 integers for termspace/termends
% 0.73/1.09 *** allocated 10000 integers for clauses
% 0.73/1.09 *** allocated 10000 integers for justifications
% 0.73/1.09 Bliksem 1.12
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 Automatic Strategy Selection
% 0.73/1.09
% 0.73/1.09 Clauses:
% 0.73/1.09 [
% 0.73/1.09 [ 'group_element'( 'e_1' ) ],
% 0.73/1.09 [ 'group_element'( 'e_2' ) ],
% 0.73/1.09 [ 'group_element'( 'e_3' ) ],
% 0.73/1.09 [ ~( equalish( 'e_1', 'e_2' ) ) ],
% 0.73/1.09 [ ~( equalish( 'e_1', 'e_3' ) ) ],
% 0.73/1.09 [ ~( equalish( 'e_2', 'e_1' ) ) ],
% 0.73/1.09 [ ~( equalish( 'e_2', 'e_3' ) ) ],
% 0.73/1.09 [ ~( equalish( 'e_3', 'e_1' ) ) ],
% 0.73/1.09 [ ~( equalish( 'e_3', 'e_2' ) ) ],
% 0.73/1.09 [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ), product( X, Y,
% 0.73/1.09 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ) ],
% 0.73/1.09 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish( Z, T ) ]
% 0.73/1.09 ,
% 0.73/1.09 [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish( Y, T ) ]
% 0.73/1.09 ,
% 0.73/1.09 [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish( X, T ) ]
% 0.73/1.09 ,
% 0.73/1.09 [ ~( product( X, Y, Z ) ), ~( product( Z, Y, T ) ), product( X, Z, T ) ]
% 0.73/1.09
% 0.73/1.09 ] .
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 percentage equality = 0.000000, percentage horn = 0.928571
% 0.73/1.09 This is a near-Horn, non-equality problem
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 Options Used:
% 0.73/1.09
% 0.73/1.09 useres = 1
% 0.73/1.09 useparamod = 0
% 0.73/1.09 useeqrefl = 0
% 0.73/1.09 useeqfact = 0
% 0.73/1.09 usefactor = 1
% 0.73/1.09 usesimpsplitting = 0
% 0.73/1.09 usesimpdemod = 0
% 0.73/1.09 usesimpres = 4
% 0.73/1.09
% 0.73/1.09 resimpinuse = 1000
% 0.73/1.09 resimpclauses = 20000
% 0.73/1.09 substype = standard
% 0.73/1.09 backwardsubs = 1
% 0.73/1.09 selectoldest = 5
% 0.73/1.09
% 0.73/1.09 litorderings [0] = split
% 0.73/1.09 litorderings [1] = liftord
% 0.73/1.09
% 0.73/1.09 termordering = none
% 0.73/1.09
% 0.73/1.09 litapriori = 1
% 0.73/1.09 termapriori = 0
% 0.73/1.09 litaposteriori = 0
% 0.73/1.09 termaposteriori = 0
% 0.73/1.09 demodaposteriori = 0
% 0.73/1.09 ordereqreflfact = 0
% 0.73/1.09
% 0.73/1.09 litselect = negative
% 0.73/1.09
% 0.73/1.09 maxweight = 30000
% 0.73/1.09 maxdepth = 30000
% 0.73/1.09 maxlength = 115
% 0.73/1.09 maxnrvars = 195
% 0.73/1.09 excuselevel = 0
% 0.73/1.09 increasemaxweight = 0
% 0.73/1.09
% 0.73/1.09 maxselected = 10000000
% 0.73/1.09 maxnrclauses = 10000000
% 0.73/1.09
% 0.73/1.09 showgenerated = 0
% 0.73/1.09 showkept = 0
% 0.73/1.09 showselected = 0
% 0.73/1.09 showdeleted = 0
% 0.73/1.09 showresimp = 1
% 0.73/1.09 showstatus = 2000
% 0.73/1.09
% 0.73/1.09 prologoutput = 1
% 0.73/1.09 nrgoals = 5000000
% 0.73/1.09 totalproof = 1
% 0.73/1.09
% 0.73/1.09 Symbols occurring in the translation:
% 0.73/1.09
% 0.73/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.09 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 0.73/1.09 ! [4, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.73/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.09 'e_1' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.73/1.09 'group_element' [40, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.73/1.09 'e_2' [41, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.73/1.09 'e_3' [42, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.73/1.09 equalish [43, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.73/1.09 product [46, 3] (w:1, o:50, a:1, s:1, b:0).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 Starting Search:
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 Bliksems!, er is een bewijs:
% 0.73/1.09 % SZS status Unsatisfiable
% 0.73/1.09 % SZS output start Refutation
% 0.73/1.09
% 0.73/1.09 clause( 0, [ 'group_element'( 'e_1' ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 1, [ 'group_element'( 'e_2' ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 2, [ 'group_element'( 'e_3' ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 3, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 4, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 5, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 6, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 7, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 9, [ ~( 'group_element'( X ) ), product( X, Y, 'e_3' ), product( X
% 0.73/1.09 , Y, 'e_1' ), product( X, Y, 'e_2' ), ~( 'group_element'( Y ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 10, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y,
% 0.73/1.09 T ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 11, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T,
% 0.73/1.09 Z ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 12, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y,
% 0.73/1.09 Z ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 13, [ ~( product( X, Y, Z ) ), product( X, Z, T ), ~( product( Z, Y
% 0.73/1.09 , T ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 14, [ product( X, X, 'e_3' ), product( X, X, 'e_1' ), product( X, X
% 0.73/1.09 , 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 18, [ product( X, X, X ), ~( product( X, Y, X ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 19, [ product( X, 'e_1', 'e_3' ), product( X, 'e_1', 'e_1' ),
% 0.73/1.09 product( X, 'e_1', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 20, [ product( X, 'e_2', 'e_3' ), product( X, 'e_2', 'e_1' ),
% 0.73/1.09 product( X, 'e_2', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 21, [ product( X, 'e_3', 'e_3' ), product( X, 'e_3', 'e_1' ),
% 0.73/1.09 product( X, 'e_3', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 22, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1', 'e_2'
% 0.73/1.09 ), product( 'e_1', 'e_1', 'e_3' ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 23, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2'
% 0.73/1.09 ), product( 'e_2', 'e_1', 'e_3' ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 24, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.73/1.09 ), product( 'e_3', 'e_1', 'e_3' ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 31, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2'
% 0.73/1.09 ), product( 'e_2', 'e_2', 'e_3' ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 42, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_2'
% 0.73/1.09 ), product( 'e_1', 'e_2', 'e_3' ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 43, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_2'
% 0.73/1.09 ), product( 'e_3', 'e_2', 'e_3' ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 45, [ product( 'e_1', 'e_2', 'e_1' ), equalish( X, 'e_2' ), product(
% 0.73/1.09 'e_1', 'e_2', 'e_2' ), ~( product( 'e_1', X, 'e_3' ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 55, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2'
% 0.73/1.09 ), product( 'e_1', 'e_3', 'e_3' ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 58, [ product( 'e_1', 'e_3', 'e_1' ), equalish( X, 'e_3' ), product(
% 0.73/1.09 'e_1', 'e_3', 'e_2' ), ~( product( 'e_1', X, 'e_3' ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 67, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2'
% 0.73/1.09 ), product( X, 'e_2', 'e_3' ), ~( product( X, 'e_1', 'e_2' ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 75, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_2'
% 0.73/1.09 ), product( 'e_3', 'e_3', 'e_3' ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 76, [ product( 'e_3', 'e_2', 'e_1' ), equalish( X, 'e_3' ), product(
% 0.73/1.09 'e_3', 'e_2', 'e_2' ), ~( product( 'e_3', X, 'e_3' ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 90, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.73/1.09 ), product( 'e_3', 'e_3', 'e_3' ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 91, [ product( 'e_3', 'e_1', 'e_1' ), equalish( X, 'e_3' ), product(
% 0.73/1.09 'e_3', 'e_1', 'e_2' ), ~( product( 'e_3', X, 'e_3' ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 96, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.73/1.09 ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 98, [ equalish( X, 'e_1' ), product( 'e_3', 'e_1', 'e_1' ), ~(
% 0.73/1.09 product( 'e_3', X, 'e_2' ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 100, [ equalish( X, 'e_3' ), product( 'e_3', 'e_1', 'e_1' ), ~(
% 0.73/1.09 product( X, 'e_1', 'e_2' ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 111, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_2'
% 0.73/1.09 ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 113, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_1', 'e_1' ),
% 0.73/1.09 product( 'e_1', 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 114, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_2', 'e_1'
% 0.73/1.09 ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 115, [ product( 'e_3', 'e_2', 'e_1' ), product( X, 'e_3', 'e_2' ),
% 0.73/1.09 ~( product( X, 'e_2', 'e_3' ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 118, [ equalish( X, 'e_3' ), product( 'e_3', 'e_2', 'e_1' ), ~(
% 0.73/1.09 product( X, 'e_2', 'e_2' ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 122, [ equalish( X, 'e_1' ), product( 'e_3', 'e_1', 'e_1' ), ~(
% 0.73/1.09 product( 'e_3', 'e_2', X ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 126, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_1'
% 0.73/1.09 ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 128, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_1'
% 0.73/1.09 ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 131, [ equalish( X, 'e_2' ), product( 'e_2', 'e_2', 'e_1' ), ~(
% 0.73/1.09 product( 'e_3', X, 'e_1' ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 139, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1', 'e_2'
% 0.73/1.09 ), product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 149, [ equalish( 'e_1', 'e_3' ), product( 'e_1', 'e_1', 'e_1' ),
% 0.73/1.09 product( 'e_1', 'e_1', 'e_2' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 150, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1', 'e_2'
% 0.73/1.09 ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 152, [ product( 'e_1', 'e_1', 'e_1' ), equalish( X, 'e_3' ),
% 0.73/1.09 product( 'e_1', 'e_1', 'e_2' ), ~( product( 'e_1', X, 'e_2' ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 155, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1', 'e_2'
% 0.73/1.09 ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 156, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_1'
% 0.73/1.09 ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 161, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.73/1.09 ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 163, [ equalish( X, 'e_1' ), product( 'e_1', 'e_1', 'e_1' ), ~(
% 0.73/1.09 product( 'e_3', X, 'e_1' ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 167, [ product( 'e_1', 'e_1', 'e_1' ), product( X, 'e_2', 'e_1' ),
% 0.73/1.09 ~( product( X, 'e_2', 'e_2' ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 178, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_3', 'e_2', 'e_1'
% 0.73/1.09 ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 179, [ product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 182, [ equalish( X, 'e_1' ), ~( product( X, 'e_1', 'e_1' ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 183, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2'
% 0.73/1.09 ), product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_2', 'e_3' ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 193, [ product( 'e_2', 'e_1', 'e_1' ), equalish( 'e_3', 'e_1' ),
% 0.73/1.09 product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 200, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2'
% 0.73/1.09 ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 202, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_1'
% 0.73/1.09 ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 213, [ product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 214, [] )
% 0.73/1.09 .
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 % SZS output end Refutation
% 0.73/1.09 found a proof!
% 0.73/1.09
% 0.73/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.09
% 0.73/1.09 initialclauses(
% 0.73/1.09 [ clause( 216, [ 'group_element'( 'e_1' ) ] )
% 0.73/1.09 , clause( 217, [ 'group_element'( 'e_2' ) ] )
% 0.73/1.09 , clause( 218, [ 'group_element'( 'e_3' ) ] )
% 0.73/1.09 , clause( 219, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.73/1.09 , clause( 220, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.73/1.09 , clause( 221, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.73/1.09 , clause( 222, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.73/1.09 , clause( 223, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.73/1.09 , clause( 224, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.73/1.09 , clause( 225, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.73/1.09 product( X, Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ) ]
% 0.73/1.09 )
% 0.73/1.09 , clause( 226, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish(
% 0.73/1.09 Z, T ) ] )
% 0.73/1.09 , clause( 227, [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish(
% 0.73/1.09 Y, T ) ] )
% 0.73/1.09 , clause( 228, [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish(
% 0.73/1.09 X, T ) ] )
% 0.73/1.09 , clause( 229, [ ~( product( X, Y, Z ) ), ~( product( Z, Y, T ) ), product(
% 0.73/1.09 X, Z, T ) ] )
% 0.73/1.09 ] ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 0, [ 'group_element'( 'e_1' ) ] )
% 0.73/1.09 , clause( 216, [ 'group_element'( 'e_1' ) ] )
% 0.73/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 1, [ 'group_element'( 'e_2' ) ] )
% 0.73/1.09 , clause( 217, [ 'group_element'( 'e_2' ) ] )
% 0.73/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 2, [ 'group_element'( 'e_3' ) ] )
% 0.73/1.09 , clause( 218, [ 'group_element'( 'e_3' ) ] )
% 0.73/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 3, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.73/1.09 , clause( 219, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.73/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 4, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.73/1.09 , clause( 220, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.73/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 5, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.73/1.09 , clause( 221, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.73/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 6, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.73/1.09 , clause( 222, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.73/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 7, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.73/1.09 , clause( 223, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.73/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 9, [ ~( 'group_element'( X ) ), product( X, Y, 'e_3' ), product( X
% 0.73/1.09 , Y, 'e_1' ), product( X, Y, 'e_2' ), ~( 'group_element'( Y ) ) ] )
% 0.73/1.09 , clause( 225, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.73/1.09 product( X, Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ) ]
% 0.73/1.09 )
% 0.73/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.09 ), ==>( 1, 4 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 1 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 10, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y,
% 0.73/1.09 T ) ) ] )
% 0.73/1.09 , clause( 226, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish(
% 0.73/1.09 Z, T ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.09 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 11, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T,
% 0.73/1.09 Z ) ) ] )
% 0.73/1.09 , clause( 227, [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish(
% 0.73/1.09 Y, T ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.09 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 12, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y,
% 0.73/1.09 Z ) ) ] )
% 0.73/1.09 , clause( 228, [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish(
% 0.73/1.09 X, T ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.09 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 13, [ ~( product( X, Y, Z ) ), product( X, Z, T ), ~( product( Z, Y
% 0.73/1.09 , T ) ) ] )
% 0.73/1.09 , clause( 229, [ ~( product( X, Y, Z ) ), ~( product( Z, Y, T ) ), product(
% 0.73/1.09 X, Z, T ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.09 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 factor(
% 0.73/1.09 clause( 245, [ ~( 'group_element'( X ) ), product( X, X, 'e_3' ), product(
% 0.73/1.09 X, X, 'e_1' ), product( X, X, 'e_2' ) ] )
% 0.73/1.09 , clause( 9, [ ~( 'group_element'( X ) ), product( X, Y, 'e_3' ), product(
% 0.73/1.09 X, Y, 'e_1' ), product( X, Y, 'e_2' ), ~( 'group_element'( Y ) ) ] )
% 0.73/1.09 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, X )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 14, [ product( X, X, 'e_3' ), product( X, X, 'e_1' ), product( X, X
% 0.73/1.09 , 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.73/1.09 , clause( 245, [ ~( 'group_element'( X ) ), product( X, X, 'e_3' ), product(
% 0.73/1.09 X, X, 'e_1' ), product( X, X, 'e_2' ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 0.73/1.09 0 ), ==>( 2, 1 ), ==>( 3, 2 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 factor(
% 0.73/1.09 clause( 246, [ ~( product( X, Y, X ) ), product( X, X, X ) ] )
% 0.73/1.09 , clause( 13, [ ~( product( X, Y, Z ) ), product( X, Z, T ), ~( product( Z
% 0.73/1.09 , Y, T ) ) ] )
% 0.73/1.09 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, X ), :=( T, X )] )
% 0.73/1.09 ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 18, [ product( X, X, X ), ~( product( X, Y, X ) ) ] )
% 0.73/1.09 , clause( 246, [ ~( product( X, Y, X ) ), product( X, X, X ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.73/1.09 ), ==>( 1, 0 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 248, [ ~( 'group_element'( X ) ), product( X, 'e_1', 'e_3' ),
% 0.73/1.09 product( X, 'e_1', 'e_1' ), product( X, 'e_1', 'e_2' ) ] )
% 0.73/1.09 , clause( 9, [ ~( 'group_element'( X ) ), product( X, Y, 'e_3' ), product(
% 0.73/1.09 X, Y, 'e_1' ), product( X, Y, 'e_2' ), ~( 'group_element'( Y ) ) ] )
% 0.73/1.09 , 4, clause( 0, [ 'group_element'( 'e_1' ) ] )
% 0.73/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_1' )] ), substitution( 1, [] )
% 0.73/1.09 ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 19, [ product( X, 'e_1', 'e_3' ), product( X, 'e_1', 'e_1' ),
% 0.73/1.09 product( X, 'e_1', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.73/1.09 , clause( 248, [ ~( 'group_element'( X ) ), product( X, 'e_1', 'e_3' ),
% 0.73/1.09 product( X, 'e_1', 'e_1' ), product( X, 'e_1', 'e_2' ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 0.73/1.09 0 ), ==>( 2, 1 ), ==>( 3, 2 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 250, [ ~( 'group_element'( X ) ), product( X, 'e_2', 'e_3' ),
% 0.73/1.09 product( X, 'e_2', 'e_1' ), product( X, 'e_2', 'e_2' ) ] )
% 0.73/1.09 , clause( 9, [ ~( 'group_element'( X ) ), product( X, Y, 'e_3' ), product(
% 0.73/1.09 X, Y, 'e_1' ), product( X, Y, 'e_2' ), ~( 'group_element'( Y ) ) ] )
% 0.73/1.09 , 4, clause( 1, [ 'group_element'( 'e_2' ) ] )
% 0.73/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_2' )] ), substitution( 1, [] )
% 0.73/1.09 ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 20, [ product( X, 'e_2', 'e_3' ), product( X, 'e_2', 'e_1' ),
% 0.73/1.09 product( X, 'e_2', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.73/1.09 , clause( 250, [ ~( 'group_element'( X ) ), product( X, 'e_2', 'e_3' ),
% 0.73/1.09 product( X, 'e_2', 'e_1' ), product( X, 'e_2', 'e_2' ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 0.73/1.09 0 ), ==>( 2, 1 ), ==>( 3, 2 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 252, [ ~( 'group_element'( X ) ), product( X, 'e_3', 'e_3' ),
% 0.73/1.09 product( X, 'e_3', 'e_1' ), product( X, 'e_3', 'e_2' ) ] )
% 0.73/1.09 , clause( 9, [ ~( 'group_element'( X ) ), product( X, Y, 'e_3' ), product(
% 0.73/1.09 X, Y, 'e_1' ), product( X, Y, 'e_2' ), ~( 'group_element'( Y ) ) ] )
% 0.73/1.09 , 4, clause( 2, [ 'group_element'( 'e_3' ) ] )
% 0.73/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_3' )] ), substitution( 1, [] )
% 0.73/1.09 ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 21, [ product( X, 'e_3', 'e_3' ), product( X, 'e_3', 'e_1' ),
% 0.73/1.09 product( X, 'e_3', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.73/1.09 , clause( 252, [ ~( 'group_element'( X ) ), product( X, 'e_3', 'e_3' ),
% 0.73/1.09 product( X, 'e_3', 'e_1' ), product( X, 'e_3', 'e_2' ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 0.73/1.09 0 ), ==>( 2, 1 ), ==>( 3, 2 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 253, [ product( 'e_1', 'e_1', 'e_3' ), product( 'e_1', 'e_1', 'e_1'
% 0.73/1.09 ), product( 'e_1', 'e_1', 'e_2' ) ] )
% 0.73/1.09 , clause( 19, [ product( X, 'e_1', 'e_3' ), product( X, 'e_1', 'e_1' ),
% 0.73/1.09 product( X, 'e_1', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.73/1.09 , 3, clause( 0, [ 'group_element'( 'e_1' ) ] )
% 0.73/1.09 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 22, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1', 'e_2'
% 0.73/1.09 ), product( 'e_1', 'e_1', 'e_3' ) ] )
% 0.73/1.09 , clause( 253, [ product( 'e_1', 'e_1', 'e_3' ), product( 'e_1', 'e_1',
% 0.73/1.09 'e_1' ), product( 'e_1', 'e_1', 'e_2' ) ] )
% 0.73/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.73/1.09 , 1 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 254, [ product( 'e_2', 'e_1', 'e_3' ), product( 'e_2', 'e_1', 'e_1'
% 0.73/1.09 ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.73/1.09 , clause( 19, [ product( X, 'e_1', 'e_3' ), product( X, 'e_1', 'e_1' ),
% 0.73/1.09 product( X, 'e_1', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.73/1.09 , 3, clause( 1, [ 'group_element'( 'e_2' ) ] )
% 0.73/1.09 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 23, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2'
% 0.73/1.09 ), product( 'e_2', 'e_1', 'e_3' ) ] )
% 0.73/1.09 , clause( 254, [ product( 'e_2', 'e_1', 'e_3' ), product( 'e_2', 'e_1',
% 0.73/1.09 'e_1' ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.73/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.73/1.09 , 1 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 255, [ product( 'e_3', 'e_1', 'e_3' ), product( 'e_3', 'e_1', 'e_1'
% 0.73/1.09 ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.73/1.09 , clause( 19, [ product( X, 'e_1', 'e_3' ), product( X, 'e_1', 'e_1' ),
% 0.73/1.09 product( X, 'e_1', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.73/1.09 , 3, clause( 2, [ 'group_element'( 'e_3' ) ] )
% 0.73/1.09 , 0, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 24, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.73/1.09 ), product( 'e_3', 'e_1', 'e_3' ) ] )
% 0.73/1.09 , clause( 255, [ product( 'e_3', 'e_1', 'e_3' ), product( 'e_3', 'e_1',
% 0.73/1.09 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.73/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.73/1.09 , 1 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 256, [ product( 'e_2', 'e_2', 'e_3' ), product( 'e_2', 'e_2', 'e_1'
% 0.73/1.09 ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.73/1.09 , clause( 14, [ product( X, X, 'e_3' ), product( X, X, 'e_1' ), product( X
% 0.73/1.09 , X, 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.73/1.09 , 3, clause( 1, [ 'group_element'( 'e_2' ) ] )
% 0.73/1.09 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 31, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2'
% 0.73/1.09 ), product( 'e_2', 'e_2', 'e_3' ) ] )
% 0.73/1.09 , clause( 256, [ product( 'e_2', 'e_2', 'e_3' ), product( 'e_2', 'e_2',
% 0.73/1.09 'e_1' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.73/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.73/1.09 , 1 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 257, [ product( 'e_1', 'e_2', 'e_3' ), product( 'e_1', 'e_2', 'e_1'
% 0.73/1.09 ), product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.73/1.09 , clause( 20, [ product( X, 'e_2', 'e_3' ), product( X, 'e_2', 'e_1' ),
% 0.73/1.09 product( X, 'e_2', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.73/1.09 , 3, clause( 0, [ 'group_element'( 'e_1' ) ] )
% 0.73/1.09 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 42, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_2'
% 0.73/1.09 ), product( 'e_1', 'e_2', 'e_3' ) ] )
% 0.73/1.09 , clause( 257, [ product( 'e_1', 'e_2', 'e_3' ), product( 'e_1', 'e_2',
% 0.73/1.09 'e_1' ), product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.73/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.73/1.09 , 1 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 258, [ product( 'e_3', 'e_2', 'e_3' ), product( 'e_3', 'e_2', 'e_1'
% 0.73/1.09 ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.73/1.09 , clause( 20, [ product( X, 'e_2', 'e_3' ), product( X, 'e_2', 'e_1' ),
% 0.73/1.09 product( X, 'e_2', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.73/1.09 , 3, clause( 2, [ 'group_element'( 'e_3' ) ] )
% 0.73/1.09 , 0, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 43, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_2'
% 0.73/1.09 ), product( 'e_3', 'e_2', 'e_3' ) ] )
% 0.73/1.09 , clause( 258, [ product( 'e_3', 'e_2', 'e_3' ), product( 'e_3', 'e_2',
% 0.73/1.09 'e_1' ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.73/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.73/1.09 , 1 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 264, [ equalish( X, 'e_2' ), ~( product( 'e_1', X, 'e_3' ) ),
% 0.73/1.09 product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.73/1.09 , clause( 11, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.73/1.09 , Z ) ) ] )
% 0.73/1.09 , 2, clause( 42, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2',
% 0.73/1.09 'e_2' ), product( 'e_1', 'e_2', 'e_3' ) ] )
% 0.73/1.09 , 2, substitution( 0, [ :=( X, 'e_1' ), :=( Y, X ), :=( Z, 'e_3' ), :=( T,
% 0.73/1.09 'e_2' )] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 45, [ product( 'e_1', 'e_2', 'e_1' ), equalish( X, 'e_2' ), product(
% 0.73/1.09 'e_1', 'e_2', 'e_2' ), ~( product( 'e_1', X, 'e_3' ) ) ] )
% 0.73/1.09 , clause( 264, [ equalish( X, 'e_2' ), ~( product( 'e_1', X, 'e_3' ) ),
% 0.73/1.09 product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.73/1.09 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 265, [ product( 'e_1', 'e_3', 'e_3' ), product( 'e_1', 'e_3', 'e_1'
% 0.73/1.09 ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.73/1.09 , clause( 21, [ product( X, 'e_3', 'e_3' ), product( X, 'e_3', 'e_1' ),
% 0.73/1.09 product( X, 'e_3', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.73/1.09 , 3, clause( 0, [ 'group_element'( 'e_1' ) ] )
% 0.73/1.09 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 55, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2'
% 0.73/1.09 ), product( 'e_1', 'e_3', 'e_3' ) ] )
% 0.73/1.09 , clause( 265, [ product( 'e_1', 'e_3', 'e_3' ), product( 'e_1', 'e_3',
% 0.73/1.09 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.73/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.73/1.09 , 1 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 271, [ equalish( X, 'e_3' ), ~( product( 'e_1', X, 'e_3' ) ),
% 0.73/1.09 product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.73/1.09 , clause( 11, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.73/1.09 , Z ) ) ] )
% 0.73/1.09 , 2, clause( 55, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3',
% 0.73/1.09 'e_2' ), product( 'e_1', 'e_3', 'e_3' ) ] )
% 0.73/1.09 , 2, substitution( 0, [ :=( X, 'e_1' ), :=( Y, X ), :=( Z, 'e_3' ), :=( T,
% 0.73/1.09 'e_3' )] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 58, [ product( 'e_1', 'e_3', 'e_1' ), equalish( X, 'e_3' ), product(
% 0.73/1.09 'e_1', 'e_3', 'e_2' ), ~( product( 'e_1', X, 'e_3' ) ) ] )
% 0.73/1.09 , clause( 271, [ equalish( X, 'e_3' ), ~( product( 'e_1', X, 'e_3' ) ),
% 0.73/1.09 product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.73/1.09 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 277, [ ~( product( X, 'e_1', 'e_2' ) ), product( X, 'e_2', 'e_3' )
% 0.73/1.09 , product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.73/1.09 , clause( 13, [ ~( product( X, Y, Z ) ), product( X, Z, T ), ~( product( Z
% 0.73/1.09 , Y, T ) ) ] )
% 0.73/1.09 , 2, clause( 23, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1',
% 0.73/1.09 'e_2' ), product( 'e_2', 'e_1', 'e_3' ) ] )
% 0.73/1.09 , 2, substitution( 0, [ :=( X, X ), :=( Y, 'e_1' ), :=( Z, 'e_2' ), :=( T,
% 0.73/1.09 'e_3' )] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 67, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2'
% 0.73/1.09 ), product( X, 'e_2', 'e_3' ), ~( product( X, 'e_1', 'e_2' ) ) ] )
% 0.73/1.09 , clause( 277, [ ~( product( X, 'e_1', 'e_2' ) ), product( X, 'e_2', 'e_3'
% 0.73/1.09 ), product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 0.73/1.09 2 ), ==>( 2, 0 ), ==>( 3, 1 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 280, [ product( 'e_3', 'e_3', 'e_3' ), product( 'e_3', 'e_2', 'e_1'
% 0.73/1.09 ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.73/1.09 , clause( 18, [ product( X, X, X ), ~( product( X, Y, X ) ) ] )
% 0.73/1.09 , 1, clause( 43, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2',
% 0.73/1.09 'e_2' ), product( 'e_3', 'e_2', 'e_3' ) ] )
% 0.73/1.09 , 2, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_2' )] ), substitution( 1
% 0.73/1.09 , [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 75, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_2'
% 0.73/1.09 ), product( 'e_3', 'e_3', 'e_3' ) ] )
% 0.73/1.09 , clause( 280, [ product( 'e_3', 'e_3', 'e_3' ), product( 'e_3', 'e_2',
% 0.73/1.09 'e_1' ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.73/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.73/1.09 , 1 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 286, [ equalish( X, 'e_3' ), ~( product( 'e_3', X, 'e_3' ) ),
% 0.73/1.09 product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.73/1.09 , clause( 11, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.73/1.09 , Z ) ) ] )
% 0.73/1.09 , 2, clause( 75, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2',
% 0.73/1.09 'e_2' ), product( 'e_3', 'e_3', 'e_3' ) ] )
% 0.73/1.09 , 2, substitution( 0, [ :=( X, 'e_3' ), :=( Y, X ), :=( Z, 'e_3' ), :=( T,
% 0.73/1.09 'e_3' )] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 76, [ product( 'e_3', 'e_2', 'e_1' ), equalish( X, 'e_3' ), product(
% 0.73/1.09 'e_3', 'e_2', 'e_2' ), ~( product( 'e_3', X, 'e_3' ) ) ] )
% 0.73/1.09 , clause( 286, [ equalish( X, 'e_3' ), ~( product( 'e_3', X, 'e_3' ) ),
% 0.73/1.09 product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.73/1.09 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 287, [ product( 'e_3', 'e_3', 'e_3' ), product( 'e_3', 'e_1', 'e_1'
% 0.73/1.09 ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.73/1.09 , clause( 18, [ product( X, X, X ), ~( product( X, Y, X ) ) ] )
% 0.73/1.09 , 1, clause( 24, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1',
% 0.73/1.09 'e_2' ), product( 'e_3', 'e_1', 'e_3' ) ] )
% 0.73/1.09 , 2, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_1' )] ), substitution( 1
% 0.73/1.09 , [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 90, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.73/1.09 ), product( 'e_3', 'e_3', 'e_3' ) ] )
% 0.73/1.09 , clause( 287, [ product( 'e_3', 'e_3', 'e_3' ), product( 'e_3', 'e_1',
% 0.73/1.09 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.73/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.73/1.09 , 1 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 293, [ equalish( X, 'e_3' ), ~( product( 'e_3', X, 'e_3' ) ),
% 0.73/1.09 product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.73/1.09 , clause( 11, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.73/1.09 , Z ) ) ] )
% 0.73/1.09 , 2, clause( 90, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1',
% 0.73/1.09 'e_2' ), product( 'e_3', 'e_3', 'e_3' ) ] )
% 0.73/1.09 , 2, substitution( 0, [ :=( X, 'e_3' ), :=( Y, X ), :=( Z, 'e_3' ), :=( T,
% 0.73/1.09 'e_3' )] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 91, [ product( 'e_3', 'e_1', 'e_1' ), equalish( X, 'e_3' ), product(
% 0.73/1.09 'e_3', 'e_1', 'e_2' ), ~( product( 'e_3', X, 'e_3' ) ) ] )
% 0.73/1.09 , clause( 293, [ equalish( X, 'e_3' ), ~( product( 'e_3', X, 'e_3' ) ),
% 0.73/1.09 product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.73/1.09 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 294, [ product( 'e_3', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.73/1.09 product( 'e_3', 'e_1', 'e_2' ), product( 'e_3', 'e_1', 'e_1' ), product(
% 0.73/1.09 'e_3', 'e_1', 'e_2' ) ] )
% 0.73/1.09 , clause( 91, [ product( 'e_3', 'e_1', 'e_1' ), equalish( X, 'e_3' ),
% 0.73/1.09 product( 'e_3', 'e_1', 'e_2' ), ~( product( 'e_3', X, 'e_3' ) ) ] )
% 0.73/1.09 , 3, clause( 24, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1',
% 0.73/1.09 'e_2' ), product( 'e_3', 'e_1', 'e_3' ) ] )
% 0.73/1.09 , 2, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 factor(
% 0.73/1.09 clause( 295, [ product( 'e_3', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.73/1.09 product( 'e_3', 'e_1', 'e_2' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.73/1.09 , clause( 294, [ product( 'e_3', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.73/1.09 product( 'e_3', 'e_1', 'e_2' ), product( 'e_3', 'e_1', 'e_1' ), product(
% 0.73/1.09 'e_3', 'e_1', 'e_2' ) ] )
% 0.73/1.09 , 0, 3, substitution( 0, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 factor(
% 0.73/1.09 clause( 296, [ product( 'e_3', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.73/1.09 product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.73/1.09 , clause( 295, [ product( 'e_3', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.73/1.09 product( 'e_3', 'e_1', 'e_2' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.73/1.09 , 2, 3, substitution( 0, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 297, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.73/1.09 ) ] )
% 0.73/1.09 , clause( 4, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.73/1.09 , 0, clause( 296, [ product( 'e_3', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3'
% 0.73/1.09 ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.73/1.09 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 96, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.73/1.09 ) ] )
% 0.73/1.09 , clause( 297, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1',
% 0.73/1.09 'e_2' ) ] )
% 0.73/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.73/1.09 ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 301, [ equalish( X, 'e_1' ), ~( product( 'e_3', X, 'e_2' ) ),
% 0.73/1.09 product( 'e_3', 'e_1', 'e_1' ) ] )
% 0.73/1.09 , clause( 11, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.73/1.09 , Z ) ) ] )
% 0.73/1.09 , 2, clause( 96, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1',
% 0.73/1.09 'e_2' ) ] )
% 0.73/1.09 , 1, substitution( 0, [ :=( X, 'e_3' ), :=( Y, X ), :=( Z, 'e_2' ), :=( T,
% 0.73/1.09 'e_1' )] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 98, [ equalish( X, 'e_1' ), product( 'e_3', 'e_1', 'e_1' ), ~(
% 0.73/1.09 product( 'e_3', X, 'e_2' ) ) ] )
% 0.73/1.09 , clause( 301, [ equalish( X, 'e_1' ), ~( product( 'e_3', X, 'e_2' ) ),
% 0.73/1.09 product( 'e_3', 'e_1', 'e_1' ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.73/1.09 2 ), ==>( 2, 1 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 305, [ equalish( X, 'e_3' ), ~( product( X, 'e_1', 'e_2' ) ),
% 0.73/1.09 product( 'e_3', 'e_1', 'e_1' ) ] )
% 0.73/1.09 , clause( 12, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.73/1.09 , Z ) ) ] )
% 0.73/1.09 , 2, clause( 96, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1',
% 0.73/1.09 'e_2' ) ] )
% 0.73/1.09 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'e_1' ), :=( Z, 'e_2' ), :=( T,
% 0.73/1.09 'e_3' )] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 100, [ equalish( X, 'e_3' ), product( 'e_3', 'e_1', 'e_1' ), ~(
% 0.73/1.09 product( X, 'e_1', 'e_2' ) ) ] )
% 0.73/1.09 , clause( 305, [ equalish( X, 'e_3' ), ~( product( X, 'e_1', 'e_2' ) ),
% 0.73/1.09 product( 'e_3', 'e_1', 'e_1' ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.73/1.09 2 ), ==>( 2, 1 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 306, [ product( 'e_3', 'e_2', 'e_1' ), equalish( 'e_2', 'e_3' ),
% 0.73/1.09 product( 'e_3', 'e_2', 'e_2' ), product( 'e_3', 'e_2', 'e_1' ), product(
% 0.73/1.09 'e_3', 'e_2', 'e_2' ) ] )
% 0.73/1.09 , clause( 76, [ product( 'e_3', 'e_2', 'e_1' ), equalish( X, 'e_3' ),
% 0.73/1.09 product( 'e_3', 'e_2', 'e_2' ), ~( product( 'e_3', X, 'e_3' ) ) ] )
% 0.73/1.09 , 3, clause( 43, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2',
% 0.73/1.09 'e_2' ), product( 'e_3', 'e_2', 'e_3' ) ] )
% 0.73/1.09 , 2, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 factor(
% 0.73/1.09 clause( 307, [ product( 'e_3', 'e_2', 'e_1' ), equalish( 'e_2', 'e_3' ),
% 0.73/1.09 product( 'e_3', 'e_2', 'e_2' ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.73/1.09 , clause( 306, [ product( 'e_3', 'e_2', 'e_1' ), equalish( 'e_2', 'e_3' ),
% 0.73/1.09 product( 'e_3', 'e_2', 'e_2' ), product( 'e_3', 'e_2', 'e_1' ), product(
% 0.73/1.09 'e_3', 'e_2', 'e_2' ) ] )
% 0.73/1.09 , 0, 3, substitution( 0, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 factor(
% 0.73/1.09 clause( 308, [ product( 'e_3', 'e_2', 'e_1' ), equalish( 'e_2', 'e_3' ),
% 0.73/1.09 product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.73/1.09 , clause( 307, [ product( 'e_3', 'e_2', 'e_1' ), equalish( 'e_2', 'e_3' ),
% 0.73/1.09 product( 'e_3', 'e_2', 'e_2' ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.73/1.09 , 2, 3, substitution( 0, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 309, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_2'
% 0.73/1.09 ) ] )
% 0.73/1.09 , clause( 6, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.73/1.09 , 0, clause( 308, [ product( 'e_3', 'e_2', 'e_1' ), equalish( 'e_2', 'e_3'
% 0.73/1.09 ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.73/1.09 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 111, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_2'
% 0.73/1.09 ) ] )
% 0.73/1.09 , clause( 309, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2',
% 0.73/1.09 'e_2' ) ] )
% 0.73/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.73/1.09 ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 310, [ product( 'e_1', 'e_2', 'e_1' ), equalish( 'e_1', 'e_2' ),
% 0.73/1.09 product( 'e_1', 'e_2', 'e_2' ), product( 'e_1', 'e_1', 'e_1' ), product(
% 0.73/1.09 'e_1', 'e_1', 'e_2' ) ] )
% 0.73/1.09 , clause( 45, [ product( 'e_1', 'e_2', 'e_1' ), equalish( X, 'e_2' ),
% 0.73/1.09 product( 'e_1', 'e_2', 'e_2' ), ~( product( 'e_1', X, 'e_3' ) ) ] )
% 0.73/1.09 , 3, clause( 22, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1',
% 0.73/1.09 'e_2' ), product( 'e_1', 'e_1', 'e_3' ) ] )
% 0.73/1.09 , 2, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 311, [ product( 'e_1', 'e_1', 'e_1' ), equalish( 'e_1', 'e_2' ),
% 0.73/1.09 product( 'e_1', 'e_2', 'e_2' ), product( 'e_1', 'e_1', 'e_1' ), product(
% 0.73/1.09 'e_1', 'e_1', 'e_2' ) ] )
% 0.73/1.09 , clause( 18, [ product( X, X, X ), ~( product( X, Y, X ) ) ] )
% 0.73/1.09 , 1, clause( 310, [ product( 'e_1', 'e_2', 'e_1' ), equalish( 'e_1', 'e_2'
% 0.73/1.09 ), product( 'e_1', 'e_2', 'e_2' ), product( 'e_1', 'e_1', 'e_1' ),
% 0.73/1.09 product( 'e_1', 'e_1', 'e_2' ) ] )
% 0.73/1.09 , 0, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_2' )] ), substitution( 1
% 0.73/1.09 , [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 factor(
% 0.73/1.09 clause( 312, [ product( 'e_1', 'e_1', 'e_1' ), equalish( 'e_1', 'e_2' ),
% 0.73/1.09 product( 'e_1', 'e_2', 'e_2' ), product( 'e_1', 'e_1', 'e_2' ) ] )
% 0.73/1.09 , clause( 311, [ product( 'e_1', 'e_1', 'e_1' ), equalish( 'e_1', 'e_2' ),
% 0.73/1.09 product( 'e_1', 'e_2', 'e_2' ), product( 'e_1', 'e_1', 'e_1' ), product(
% 0.73/1.09 'e_1', 'e_1', 'e_2' ) ] )
% 0.73/1.09 , 0, 3, substitution( 0, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 113, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_1', 'e_1' ),
% 0.73/1.09 product( 'e_1', 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.73/1.09 , clause( 312, [ product( 'e_1', 'e_1', 'e_1' ), equalish( 'e_1', 'e_2' ),
% 0.73/1.09 product( 'e_1', 'e_2', 'e_2' ), product( 'e_1', 'e_1', 'e_2' ) ] )
% 0.73/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.73/1.09 , 3 ), ==>( 3, 2 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 313, [ equalish( 'e_2', 'e_1' ), product( 'e_3', 'e_1', 'e_1' ),
% 0.73/1.09 product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.73/1.09 , clause( 98, [ equalish( X, 'e_1' ), product( 'e_3', 'e_1', 'e_1' ), ~(
% 0.73/1.09 product( 'e_3', X, 'e_2' ) ) ] )
% 0.73/1.09 , 2, clause( 111, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2',
% 0.73/1.09 'e_2' ) ] )
% 0.73/1.09 , 1, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 314, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_2', 'e_1'
% 0.73/1.09 ) ] )
% 0.73/1.09 , clause( 5, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.73/1.09 , 0, clause( 313, [ equalish( 'e_2', 'e_1' ), product( 'e_3', 'e_1', 'e_1'
% 0.73/1.09 ), product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.73/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 114, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_2', 'e_1'
% 0.73/1.09 ) ] )
% 0.73/1.09 , clause( 314, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_2',
% 0.73/1.09 'e_1' ) ] )
% 0.73/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.73/1.09 ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 318, [ ~( product( X, 'e_2', 'e_3' ) ), product( X, 'e_3', 'e_2' )
% 0.73/1.09 , product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.73/1.09 , clause( 13, [ ~( product( X, Y, Z ) ), product( X, Z, T ), ~( product( Z
% 0.73/1.09 , Y, T ) ) ] )
% 0.73/1.09 , 2, clause( 111, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2',
% 0.73/1.09 'e_2' ) ] )
% 0.73/1.09 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'e_2' ), :=( Z, 'e_3' ), :=( T,
% 0.73/1.09 'e_2' )] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 115, [ product( 'e_3', 'e_2', 'e_1' ), product( X, 'e_3', 'e_2' ),
% 0.73/1.09 ~( product( X, 'e_2', 'e_3' ) ) ] )
% 0.73/1.09 , clause( 318, [ ~( product( X, 'e_2', 'e_3' ) ), product( X, 'e_3', 'e_2'
% 0.73/1.09 ), product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.73/1.09 1 ), ==>( 2, 0 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 323, [ equalish( X, 'e_3' ), ~( product( X, 'e_2', 'e_2' ) ),
% 0.73/1.09 product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.73/1.09 , clause( 12, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.73/1.09 , Z ) ) ] )
% 0.73/1.09 , 2, clause( 111, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2',
% 0.73/1.09 'e_2' ) ] )
% 0.73/1.09 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'e_2' ), :=( Z, 'e_2' ), :=( T,
% 0.73/1.09 'e_3' )] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 118, [ equalish( X, 'e_3' ), product( 'e_3', 'e_2', 'e_1' ), ~(
% 0.73/1.09 product( X, 'e_2', 'e_2' ) ) ] )
% 0.73/1.09 , clause( 323, [ equalish( X, 'e_3' ), ~( product( X, 'e_2', 'e_2' ) ),
% 0.73/1.09 product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.73/1.09 2 ), ==>( 2, 1 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 327, [ equalish( X, 'e_1' ), ~( product( 'e_3', 'e_2', X ) ),
% 0.73/1.09 product( 'e_3', 'e_1', 'e_1' ) ] )
% 0.73/1.09 , clause( 10, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y
% 0.73/1.09 , T ) ) ] )
% 0.73/1.09 , 2, clause( 114, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_2',
% 0.73/1.09 'e_1' ) ] )
% 0.73/1.09 , 1, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_2' ), :=( Z, X ), :=( T,
% 0.73/1.09 'e_1' )] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 122, [ equalish( X, 'e_1' ), product( 'e_3', 'e_1', 'e_1' ), ~(
% 0.73/1.09 product( 'e_3', 'e_2', X ) ) ] )
% 0.73/1.09 , clause( 327, [ equalish( X, 'e_1' ), ~( product( 'e_3', 'e_2', X ) ),
% 0.73/1.09 product( 'e_3', 'e_1', 'e_1' ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.73/1.09 2 ), ==>( 2, 1 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 328, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_2'
% 0.73/1.09 ), product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.73/1.09 , clause( 115, [ product( 'e_3', 'e_2', 'e_1' ), product( X, 'e_3', 'e_2' )
% 0.73/1.09 , ~( product( X, 'e_2', 'e_3' ) ) ] )
% 0.73/1.09 , 2, clause( 31, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2',
% 0.73/1.09 'e_2' ), product( 'e_2', 'e_2', 'e_3' ) ] )
% 0.73/1.09 , 2, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 329, [ product( 'e_2', 'e_2', 'e_2' ), product( 'e_3', 'e_2', 'e_1'
% 0.73/1.09 ), product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.73/1.09 , clause( 18, [ product( X, X, X ), ~( product( X, Y, X ) ) ] )
% 0.73/1.09 , 1, clause( 328, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_2', 'e_3',
% 0.73/1.09 'e_2' ), product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2' ) ]
% 0.73/1.09 )
% 0.73/1.09 , 1, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_3' )] ), substitution( 1
% 0.73/1.09 , [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 factor(
% 0.73/1.09 clause( 330, [ product( 'e_2', 'e_2', 'e_2' ), product( 'e_3', 'e_2', 'e_1'
% 0.73/1.09 ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.73/1.09 , clause( 329, [ product( 'e_2', 'e_2', 'e_2' ), product( 'e_3', 'e_2',
% 0.73/1.09 'e_1' ), product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2' ) ]
% 0.73/1.09 )
% 0.73/1.09 , 0, 3, substitution( 0, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 126, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_1'
% 0.73/1.09 ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.73/1.09 , clause( 330, [ product( 'e_2', 'e_2', 'e_2' ), product( 'e_3', 'e_2',
% 0.73/1.09 'e_1' ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.73/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 1 ), ==>( 2
% 0.73/1.09 , 0 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 331, [ equalish( 'e_2', 'e_3' ), product( 'e_3', 'e_2', 'e_1' ),
% 0.73/1.09 product( 'e_2', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.73/1.09 , clause( 118, [ equalish( X, 'e_3' ), product( 'e_3', 'e_2', 'e_1' ), ~(
% 0.73/1.09 product( X, 'e_2', 'e_2' ) ) ] )
% 0.73/1.09 , 2, clause( 126, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_3', 'e_2',
% 0.73/1.09 'e_1' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.73/1.09 , 2, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 333, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.73/1.09 ), product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.73/1.09 , clause( 6, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.73/1.09 , 0, clause( 331, [ equalish( 'e_2', 'e_3' ), product( 'e_3', 'e_2', 'e_1'
% 0.73/1.09 ), product( 'e_2', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.73/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 factor(
% 0.73/1.09 clause( 334, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.73/1.09 ) ] )
% 0.73/1.09 , clause( 333, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_2', 'e_2',
% 0.73/1.09 'e_1' ), product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.73/1.09 , 0, 2, substitution( 0, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 128, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_1'
% 0.73/1.09 ) ] )
% 0.73/1.09 , clause( 334, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_2', 'e_2',
% 0.73/1.09 'e_1' ) ] )
% 0.73/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.73/1.09 ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 338, [ equalish( X, 'e_2' ), ~( product( 'e_3', X, 'e_1' ) ),
% 0.73/1.09 product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.73/1.09 , clause( 11, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.73/1.09 , Z ) ) ] )
% 0.73/1.09 , 2, clause( 128, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_3', 'e_2',
% 0.73/1.09 'e_1' ) ] )
% 0.73/1.09 , 1, substitution( 0, [ :=( X, 'e_3' ), :=( Y, X ), :=( Z, 'e_1' ), :=( T,
% 0.73/1.09 'e_2' )] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 131, [ equalish( X, 'e_2' ), product( 'e_2', 'e_2', 'e_1' ), ~(
% 0.73/1.09 product( 'e_3', X, 'e_1' ) ) ] )
% 0.73/1.09 , clause( 338, [ equalish( X, 'e_2' ), ~( product( 'e_3', X, 'e_1' ) ),
% 0.73/1.09 product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.73/1.09 2 ), ==>( 2, 1 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 339, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1', 'e_2'
% 0.73/1.09 ), product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.73/1.09 , clause( 3, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.73/1.09 , 0, clause( 113, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_1', 'e_1'
% 0.73/1.09 ), product( 'e_1', 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.73/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 139, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1', 'e_2'
% 0.73/1.09 ), product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.73/1.09 , clause( 339, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1',
% 0.73/1.09 'e_2' ), product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.73/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.73/1.09 , 2 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 340, [ product( 'e_1', 'e_3', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.73/1.09 product( 'e_1', 'e_3', 'e_2' ), product( 'e_1', 'e_1', 'e_1' ), product(
% 0.73/1.09 'e_1', 'e_1', 'e_2' ) ] )
% 0.73/1.09 , clause( 58, [ product( 'e_1', 'e_3', 'e_1' ), equalish( X, 'e_3' ),
% 0.73/1.09 product( 'e_1', 'e_3', 'e_2' ), ~( product( 'e_1', X, 'e_3' ) ) ] )
% 0.73/1.09 , 3, clause( 22, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1',
% 0.73/1.09 'e_2' ), product( 'e_1', 'e_1', 'e_3' ) ] )
% 0.73/1.09 , 2, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 341, [ product( 'e_1', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.73/1.09 product( 'e_1', 'e_3', 'e_2' ), product( 'e_1', 'e_1', 'e_1' ), product(
% 0.73/1.09 'e_1', 'e_1', 'e_2' ) ] )
% 0.73/1.09 , clause( 18, [ product( X, X, X ), ~( product( X, Y, X ) ) ] )
% 0.73/1.09 , 1, clause( 340, [ product( 'e_1', 'e_3', 'e_1' ), equalish( 'e_1', 'e_3'
% 0.73/1.09 ), product( 'e_1', 'e_3', 'e_2' ), product( 'e_1', 'e_1', 'e_1' ),
% 0.73/1.09 product( 'e_1', 'e_1', 'e_2' ) ] )
% 0.73/1.09 , 0, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_3' )] ), substitution( 1
% 0.73/1.09 , [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 factor(
% 0.73/1.09 clause( 342, [ product( 'e_1', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.73/1.09 product( 'e_1', 'e_3', 'e_2' ), product( 'e_1', 'e_1', 'e_2' ) ] )
% 0.73/1.09 , clause( 341, [ product( 'e_1', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.73/1.09 product( 'e_1', 'e_3', 'e_2' ), product( 'e_1', 'e_1', 'e_1' ), product(
% 0.73/1.09 'e_1', 'e_1', 'e_2' ) ] )
% 0.73/1.09 , 0, 3, substitution( 0, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 149, [ equalish( 'e_1', 'e_3' ), product( 'e_1', 'e_1', 'e_1' ),
% 0.73/1.09 product( 'e_1', 'e_1', 'e_2' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.73/1.09 , clause( 342, [ product( 'e_1', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.73/1.09 product( 'e_1', 'e_3', 'e_2' ), product( 'e_1', 'e_1', 'e_2' ) ] )
% 0.73/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.73/1.09 , 3 ), ==>( 3, 2 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 343, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1', 'e_2'
% 0.73/1.09 ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.73/1.09 , clause( 4, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.73/1.09 , 0, clause( 149, [ equalish( 'e_1', 'e_3' ), product( 'e_1', 'e_1', 'e_1'
% 0.73/1.09 ), product( 'e_1', 'e_1', 'e_2' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.73/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 150, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1', 'e_2'
% 0.73/1.09 ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.73/1.09 , clause( 343, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1',
% 0.73/1.09 'e_2' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.73/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.73/1.09 , 2 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 349, [ equalish( X, 'e_3' ), ~( product( 'e_1', X, 'e_2' ) ),
% 0.73/1.09 product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1', 'e_2' ) ] )
% 0.73/1.09 , clause( 11, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.73/1.09 , Z ) ) ] )
% 0.73/1.09 , 2, clause( 150, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1',
% 0.73/1.09 'e_2' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.73/1.09 , 2, substitution( 0, [ :=( X, 'e_1' ), :=( Y, X ), :=( Z, 'e_2' ), :=( T,
% 0.73/1.09 'e_3' )] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 152, [ product( 'e_1', 'e_1', 'e_1' ), equalish( X, 'e_3' ),
% 0.73/1.09 product( 'e_1', 'e_1', 'e_2' ), ~( product( 'e_1', X, 'e_2' ) ) ] )
% 0.73/1.09 , clause( 349, [ equalish( X, 'e_3' ), ~( product( 'e_1', X, 'e_2' ) ),
% 0.73/1.09 product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1', 'e_2' ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.73/1.09 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 351, [ product( 'e_1', 'e_1', 'e_1' ), equalish( 'e_2', 'e_3' ),
% 0.73/1.09 product( 'e_1', 'e_1', 'e_2' ), product( 'e_1', 'e_1', 'e_1' ), product(
% 0.73/1.09 'e_1', 'e_1', 'e_2' ) ] )
% 0.73/1.09 , clause( 152, [ product( 'e_1', 'e_1', 'e_1' ), equalish( X, 'e_3' ),
% 0.73/1.09 product( 'e_1', 'e_1', 'e_2' ), ~( product( 'e_1', X, 'e_2' ) ) ] )
% 0.73/1.09 , 3, clause( 139, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1',
% 0.73/1.09 'e_2' ), product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.73/1.09 , 2, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 factor(
% 0.73/1.09 clause( 352, [ product( 'e_1', 'e_1', 'e_1' ), equalish( 'e_2', 'e_3' ),
% 0.73/1.09 product( 'e_1', 'e_1', 'e_2' ), product( 'e_1', 'e_1', 'e_2' ) ] )
% 0.73/1.09 , clause( 351, [ product( 'e_1', 'e_1', 'e_1' ), equalish( 'e_2', 'e_3' ),
% 0.73/1.09 product( 'e_1', 'e_1', 'e_2' ), product( 'e_1', 'e_1', 'e_1' ), product(
% 0.73/1.09 'e_1', 'e_1', 'e_2' ) ] )
% 0.73/1.09 , 0, 3, substitution( 0, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 factor(
% 0.73/1.09 clause( 353, [ product( 'e_1', 'e_1', 'e_1' ), equalish( 'e_2', 'e_3' ),
% 0.73/1.09 product( 'e_1', 'e_1', 'e_2' ) ] )
% 0.73/1.09 , clause( 352, [ product( 'e_1', 'e_1', 'e_1' ), equalish( 'e_2', 'e_3' ),
% 0.73/1.09 product( 'e_1', 'e_1', 'e_2' ), product( 'e_1', 'e_1', 'e_2' ) ] )
% 0.73/1.09 , 2, 3, substitution( 0, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 355, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1', 'e_2'
% 0.73/1.09 ) ] )
% 0.73/1.09 , clause( 6, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.73/1.09 , 0, clause( 353, [ product( 'e_1', 'e_1', 'e_1' ), equalish( 'e_2', 'e_3'
% 0.73/1.09 ), product( 'e_1', 'e_1', 'e_2' ) ] )
% 0.73/1.09 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 155, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1', 'e_2'
% 0.73/1.09 ) ] )
% 0.73/1.09 , clause( 355, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1',
% 0.73/1.09 'e_2' ) ] )
% 0.73/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.73/1.09 ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 356, [ equalish( 'e_1', 'e_3' ), product( 'e_3', 'e_1', 'e_1' ),
% 0.73/1.09 product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.73/1.09 , clause( 100, [ equalish( X, 'e_3' ), product( 'e_3', 'e_1', 'e_1' ), ~(
% 0.73/1.09 product( X, 'e_1', 'e_2' ) ) ] )
% 0.73/1.09 , 2, clause( 155, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1',
% 0.73/1.09 'e_2' ) ] )
% 0.73/1.09 , 1, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 357, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_1', 'e_1', 'e_1'
% 0.73/1.09 ) ] )
% 0.73/1.09 , clause( 4, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.73/1.09 , 0, clause( 356, [ equalish( 'e_1', 'e_3' ), product( 'e_3', 'e_1', 'e_1'
% 0.73/1.09 ), product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.73/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 156, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_1'
% 0.73/1.09 ) ] )
% 0.73/1.09 , clause( 357, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_1', 'e_1',
% 0.73/1.09 'e_1' ) ] )
% 0.73/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.73/1.09 ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 358, [ equalish( 'e_1', 'e_2' ), product( 'e_2', 'e_2', 'e_1' ),
% 0.73/1.09 product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.73/1.09 , clause( 131, [ equalish( X, 'e_2' ), product( 'e_2', 'e_2', 'e_1' ), ~(
% 0.73/1.09 product( 'e_3', X, 'e_1' ) ) ] )
% 0.73/1.09 , 2, clause( 156, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_3', 'e_1',
% 0.73/1.09 'e_1' ) ] )
% 0.73/1.09 , 1, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 359, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_1', 'e_1'
% 0.73/1.09 ) ] )
% 0.73/1.09 , clause( 3, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.73/1.09 , 0, clause( 358, [ equalish( 'e_1', 'e_2' ), product( 'e_2', 'e_2', 'e_1'
% 0.73/1.09 ), product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.73/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 161, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.73/1.09 ) ] )
% 0.73/1.09 , clause( 359, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_1',
% 0.73/1.09 'e_1' ) ] )
% 0.73/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.73/1.09 ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 363, [ equalish( X, 'e_1' ), ~( product( 'e_3', X, 'e_1' ) ),
% 0.73/1.09 product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.73/1.09 , clause( 11, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.73/1.09 , Z ) ) ] )
% 0.73/1.09 , 2, clause( 156, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_3', 'e_1',
% 0.73/1.09 'e_1' ) ] )
% 0.73/1.09 , 1, substitution( 0, [ :=( X, 'e_3' ), :=( Y, X ), :=( Z, 'e_1' ), :=( T,
% 0.73/1.09 'e_1' )] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 163, [ equalish( X, 'e_1' ), product( 'e_1', 'e_1', 'e_1' ), ~(
% 0.73/1.09 product( 'e_3', X, 'e_1' ) ) ] )
% 0.73/1.09 , clause( 363, [ equalish( X, 'e_1' ), ~( product( 'e_3', X, 'e_1' ) ),
% 0.73/1.09 product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.73/1.09 2 ), ==>( 2, 1 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 367, [ ~( product( X, 'e_2', 'e_2' ) ), product( X, 'e_2', 'e_1' )
% 0.73/1.09 , product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.73/1.09 , clause( 13, [ ~( product( X, Y, Z ) ), product( X, Z, T ), ~( product( Z
% 0.73/1.09 , Y, T ) ) ] )
% 0.73/1.09 , 2, clause( 161, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2',
% 0.73/1.09 'e_1' ) ] )
% 0.73/1.09 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'e_2' ), :=( Z, 'e_2' ), :=( T,
% 0.73/1.09 'e_1' )] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 167, [ product( 'e_1', 'e_1', 'e_1' ), product( X, 'e_2', 'e_1' ),
% 0.73/1.09 ~( product( X, 'e_2', 'e_2' ) ) ] )
% 0.73/1.09 , clause( 367, [ ~( product( X, 'e_2', 'e_2' ) ), product( X, 'e_2', 'e_1'
% 0.73/1.09 ), product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.73/1.09 1 ), ==>( 2, 0 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 368, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_3', 'e_2', 'e_1'
% 0.73/1.09 ), product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.73/1.09 , clause( 167, [ product( 'e_1', 'e_1', 'e_1' ), product( X, 'e_2', 'e_1' )
% 0.73/1.09 , ~( product( X, 'e_2', 'e_2' ) ) ] )
% 0.73/1.09 , 2, clause( 111, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2',
% 0.73/1.09 'e_2' ) ] )
% 0.73/1.09 , 1, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 factor(
% 0.73/1.09 clause( 369, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_3', 'e_2', 'e_1'
% 0.73/1.09 ) ] )
% 0.73/1.09 , clause( 368, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_3', 'e_2',
% 0.73/1.09 'e_1' ), product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.73/1.09 , 1, 2, substitution( 0, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 178, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_3', 'e_2', 'e_1'
% 0.73/1.09 ) ] )
% 0.73/1.09 , clause( 369, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_3', 'e_2',
% 0.73/1.09 'e_1' ) ] )
% 0.73/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.73/1.09 ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 370, [ equalish( 'e_2', 'e_1' ), product( 'e_1', 'e_1', 'e_1' ),
% 0.73/1.09 product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.73/1.09 , clause( 163, [ equalish( X, 'e_1' ), product( 'e_1', 'e_1', 'e_1' ), ~(
% 0.73/1.09 product( 'e_3', X, 'e_1' ) ) ] )
% 0.73/1.09 , 2, clause( 178, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_3', 'e_2',
% 0.73/1.09 'e_1' ) ] )
% 0.73/1.09 , 1, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 372, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1', 'e_1'
% 0.73/1.09 ) ] )
% 0.73/1.09 , clause( 5, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.73/1.09 , 0, clause( 370, [ equalish( 'e_2', 'e_1' ), product( 'e_1', 'e_1', 'e_1'
% 0.73/1.09 ), product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.73/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 factor(
% 0.73/1.09 clause( 373, [ product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.73/1.09 , clause( 372, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1',
% 0.73/1.09 'e_1' ) ] )
% 0.73/1.09 , 0, 1, substitution( 0, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 179, [ product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.73/1.09 , clause( 373, [ product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.73/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 375, [ equalish( X, 'e_1' ), ~( product( X, 'e_1', 'e_1' ) ) ] )
% 0.73/1.09 , clause( 12, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.73/1.09 , Z ) ) ] )
% 0.73/1.09 , 2, clause( 179, [ product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.73/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_1' ), :=( Z, 'e_1' ), :=( T,
% 0.73/1.09 'e_1' )] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 182, [ equalish( X, 'e_1' ), ~( product( X, 'e_1', 'e_1' ) ) ] )
% 0.73/1.09 , clause( 375, [ equalish( X, 'e_1' ), ~( product( X, 'e_1', 'e_1' ) ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.73/1.09 1 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 376, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2'
% 0.73/1.09 ), product( 'e_3', 'e_2', 'e_3' ), product( 'e_3', 'e_1', 'e_1' ) ] )
% 0.73/1.09 , clause( 67, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1',
% 0.73/1.09 'e_2' ), product( X, 'e_2', 'e_3' ), ~( product( X, 'e_1', 'e_2' ) ) ] )
% 0.73/1.09 , 3, clause( 96, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1',
% 0.73/1.09 'e_2' ) ] )
% 0.73/1.09 , 1, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 183, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2'
% 0.73/1.09 ), product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_2', 'e_3' ) ] )
% 0.73/1.09 , clause( 376, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1',
% 0.73/1.09 'e_2' ), product( 'e_3', 'e_2', 'e_3' ), product( 'e_3', 'e_1', 'e_1' ) ]
% 0.73/1.09 )
% 0.73/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.73/1.09 , 3 ), ==>( 3, 2 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 377, [ equalish( 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_1' ),
% 0.73/1.09 product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2' ), product(
% 0.73/1.09 'e_3', 'e_1', 'e_1' ) ] )
% 0.73/1.09 , clause( 122, [ equalish( X, 'e_1' ), product( 'e_3', 'e_1', 'e_1' ), ~(
% 0.73/1.09 product( 'e_3', 'e_2', X ) ) ] )
% 0.73/1.09 , 2, clause( 183, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1',
% 0.73/1.09 'e_2' ), product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_2', 'e_3' ) ]
% 0.73/1.09 )
% 0.73/1.09 , 3, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 factor(
% 0.73/1.09 clause( 378, [ equalish( 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_1' ),
% 0.73/1.09 product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.73/1.09 , clause( 377, [ equalish( 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_1' ),
% 0.73/1.09 product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2' ), product(
% 0.73/1.09 'e_3', 'e_1', 'e_1' ) ] )
% 0.73/1.09 , 1, 4, substitution( 0, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 383, [ equalish( 'e_3', 'e_1' ), equalish( 'e_3', 'e_1' ), product(
% 0.73/1.09 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.73/1.09 , clause( 182, [ equalish( X, 'e_1' ), ~( product( X, 'e_1', 'e_1' ) ) ] )
% 0.73/1.09 , 1, clause( 378, [ equalish( 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_1'
% 0.73/1.09 ), product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.73/1.09 , 1, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 factor(
% 0.73/1.09 clause( 385, [ equalish( 'e_3', 'e_1' ), product( 'e_2', 'e_1', 'e_1' ),
% 0.73/1.09 product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.73/1.09 , clause( 383, [ equalish( 'e_3', 'e_1' ), equalish( 'e_3', 'e_1' ),
% 0.73/1.09 product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.73/1.09 , 0, 1, substitution( 0, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 193, [ product( 'e_2', 'e_1', 'e_1' ), equalish( 'e_3', 'e_1' ),
% 0.73/1.09 product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.73/1.09 , clause( 385, [ equalish( 'e_3', 'e_1' ), product( 'e_2', 'e_1', 'e_1' ),
% 0.73/1.09 product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.73/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.73/1.09 , 2 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 386, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2'
% 0.73/1.09 ) ] )
% 0.73/1.09 , clause( 7, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.73/1.09 , 0, clause( 193, [ product( 'e_2', 'e_1', 'e_1' ), equalish( 'e_3', 'e_1'
% 0.73/1.09 ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.73/1.09 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 200, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2'
% 0.73/1.09 ) ] )
% 0.73/1.09 , clause( 386, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1',
% 0.73/1.09 'e_2' ) ] )
% 0.73/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.73/1.09 ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 387, [ equalish( 'e_2', 'e_3' ), product( 'e_3', 'e_1', 'e_1' ),
% 0.73/1.09 product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.73/1.09 , clause( 100, [ equalish( X, 'e_3' ), product( 'e_3', 'e_1', 'e_1' ), ~(
% 0.73/1.09 product( X, 'e_1', 'e_2' ) ) ] )
% 0.73/1.09 , 2, clause( 200, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1',
% 0.73/1.09 'e_2' ) ] )
% 0.73/1.09 , 1, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 388, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_1'
% 0.73/1.09 ) ] )
% 0.73/1.09 , clause( 6, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.73/1.09 , 0, clause( 387, [ equalish( 'e_2', 'e_3' ), product( 'e_3', 'e_1', 'e_1'
% 0.73/1.09 ), product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.73/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 202, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_1'
% 0.73/1.09 ) ] )
% 0.73/1.09 , clause( 388, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_2', 'e_1',
% 0.73/1.09 'e_1' ) ] )
% 0.73/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.73/1.09 ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 390, [ equalish( 'e_3', 'e_1' ), product( 'e_2', 'e_1', 'e_1' ) ]
% 0.73/1.09 )
% 0.73/1.09 , clause( 182, [ equalish( X, 'e_1' ), ~( product( X, 'e_1', 'e_1' ) ) ] )
% 0.73/1.09 , 1, clause( 202, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_3', 'e_1',
% 0.73/1.09 'e_1' ) ] )
% 0.73/1.09 , 1, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 391, [ product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.73/1.09 , clause( 7, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.73/1.09 , 0, clause( 390, [ equalish( 'e_3', 'e_1' ), product( 'e_2', 'e_1', 'e_1'
% 0.73/1.09 ) ] )
% 0.73/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 213, [ product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.73/1.09 , clause( 391, [ product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.73/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 392, [ equalish( 'e_2', 'e_1' ) ] )
% 0.73/1.09 , clause( 182, [ equalish( X, 'e_1' ), ~( product( X, 'e_1', 'e_1' ) ) ] )
% 0.73/1.09 , 1, clause( 213, [ product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.73/1.09 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 393, [] )
% 0.73/1.09 , clause( 5, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.73/1.09 , 0, clause( 392, [ equalish( 'e_2', 'e_1' ) ] )
% 0.73/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 214, [] )
% 0.73/1.09 , clause( 393, [] )
% 0.73/1.09 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 end.
% 0.73/1.09
% 0.73/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.09
% 0.73/1.09 Memory use:
% 0.73/1.09
% 0.73/1.09 space for terms: 3136
% 0.73/1.09 space for clauses: 10360
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 clauses generated: 560
% 0.73/1.09 clauses kept: 215
% 0.73/1.09 clauses selected: 121
% 0.73/1.09 clauses deleted: 47
% 0.73/1.09 clauses inuse deleted: 0
% 0.73/1.09
% 0.73/1.09 subsentry: 2017
% 0.73/1.09 literals s-matched: 1285
% 0.73/1.09 literals matched: 839
% 0.73/1.09 full subsumption: 152
% 0.73/1.09
% 0.73/1.09 checksum: 537045120
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 Bliksem ended
%------------------------------------------------------------------------------