TSTP Solution File: GRP134-2.003 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP134-2.003 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 07:35:30 EDT 2022
% Result : Unsatisfiable 0.42s 1.06s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP134-2.003 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.12 % Command : bliksem %s
% 0.13/0.32 % Computer : n009.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Tue Jun 14 03:47:23 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.42/1.06 *** allocated 10000 integers for termspace/termends
% 0.42/1.06 *** allocated 10000 integers for clauses
% 0.42/1.06 *** allocated 10000 integers for justifications
% 0.42/1.06 Bliksem 1.12
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Automatic Strategy Selection
% 0.42/1.06
% 0.42/1.06 Clauses:
% 0.42/1.06 [
% 0.42/1.06 [ next( 'e_1', 'e_2' ) ],
% 0.42/1.06 [ next( 'e_2', 'e_3' ) ],
% 0.42/1.06 [ greater( 'e_2', 'e_1' ) ],
% 0.42/1.06 [ greater( 'e_3', 'e_1' ) ],
% 0.42/1.06 [ greater( 'e_3', 'e_2' ) ],
% 0.42/1.06 [ ~( product( X, 'e_1', Y ) ), ~( next( X, Z ) ), ~( greater( Y, Z ) ) ]
% 0.42/1.06 ,
% 0.42/1.06 [ 'group_element'( 'e_1' ) ],
% 0.42/1.06 [ 'group_element'( 'e_2' ) ],
% 0.42/1.06 [ 'group_element'( 'e_3' ) ],
% 0.42/1.06 [ ~( equalish( 'e_1', 'e_2' ) ) ],
% 0.42/1.06 [ ~( equalish( 'e_1', 'e_3' ) ) ],
% 0.42/1.06 [ ~( equalish( 'e_2', 'e_1' ) ) ],
% 0.42/1.06 [ ~( equalish( 'e_2', 'e_3' ) ) ],
% 0.42/1.06 [ ~( equalish( 'e_3', 'e_1' ) ) ],
% 0.42/1.06 [ ~( equalish( 'e_3', 'e_2' ) ) ],
% 0.42/1.06 [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ), product( X, Y,
% 0.42/1.06 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ) ],
% 0.42/1.06 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish( Z, T ) ]
% 0.42/1.06 ,
% 0.42/1.06 [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish( Y, T ) ]
% 0.42/1.06 ,
% 0.42/1.06 [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish( X, T ) ]
% 0.42/1.06 ,
% 0.42/1.06 [ ~( product( X, Y, Z ) ), ~( product( Y, X, T ) ), product( Z, T, Y ) ]
% 0.42/1.06
% 0.42/1.06 ] .
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 percentage equality = 0.000000, percentage horn = 0.950000
% 0.42/1.06 This is a near-Horn, non-equality problem
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Options Used:
% 0.42/1.06
% 0.42/1.06 useres = 1
% 0.42/1.06 useparamod = 0
% 0.42/1.06 useeqrefl = 0
% 0.42/1.06 useeqfact = 0
% 0.42/1.06 usefactor = 1
% 0.42/1.06 usesimpsplitting = 0
% 0.42/1.06 usesimpdemod = 0
% 0.42/1.06 usesimpres = 4
% 0.42/1.06
% 0.42/1.06 resimpinuse = 1000
% 0.42/1.06 resimpclauses = 20000
% 0.42/1.06 substype = standard
% 0.42/1.06 backwardsubs = 1
% 0.42/1.06 selectoldest = 5
% 0.42/1.06
% 0.42/1.06 litorderings [0] = split
% 0.42/1.06 litorderings [1] = liftord
% 0.42/1.06
% 0.42/1.06 termordering = none
% 0.42/1.06
% 0.42/1.06 litapriori = 1
% 0.42/1.06 termapriori = 0
% 0.42/1.06 litaposteriori = 0
% 0.42/1.06 termaposteriori = 0
% 0.42/1.06 demodaposteriori = 0
% 0.42/1.06 ordereqreflfact = 0
% 0.42/1.06
% 0.42/1.06 litselect = negative
% 0.42/1.06
% 0.42/1.06 maxweight = 30000
% 0.42/1.06 maxdepth = 30000
% 0.42/1.06 maxlength = 115
% 0.42/1.06 maxnrvars = 195
% 0.42/1.06 excuselevel = 0
% 0.42/1.06 increasemaxweight = 0
% 0.42/1.06
% 0.42/1.06 maxselected = 10000000
% 0.42/1.06 maxnrclauses = 10000000
% 0.42/1.06
% 0.42/1.06 showgenerated = 0
% 0.42/1.06 showkept = 0
% 0.42/1.06 showselected = 0
% 0.42/1.06 showdeleted = 0
% 0.42/1.06 showresimp = 1
% 0.42/1.06 showstatus = 2000
% 0.42/1.06
% 0.42/1.06 prologoutput = 1
% 0.42/1.06 nrgoals = 5000000
% 0.42/1.06 totalproof = 1
% 0.42/1.06
% 0.42/1.06 Symbols occurring in the translation:
% 0.42/1.06
% 0.42/1.06 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.42/1.06 . [1, 2] (w:1, o:25, a:1, s:1, b:0),
% 0.42/1.06 ! [4, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.42/1.06 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.06 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.06 'e_1' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.42/1.06 'e_2' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.42/1.06 next [41, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.42/1.06 'e_3' [42, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.42/1.06 greater [43, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.42/1.06 product [46, 3] (w:1, o:53, a:1, s:1, b:0),
% 0.42/1.06 'group_element' [48, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.42/1.06 equalish [49, 2] (w:1, o:52, a:1, s:1, b:0).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Starting Search:
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Bliksems!, er is een bewijs:
% 0.42/1.06 % SZS status Unsatisfiable
% 0.42/1.06 % SZS output start Refutation
% 0.42/1.06
% 0.42/1.06 clause( 0, [ next( 'e_1', 'e_2' ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 4, [ greater( 'e_3', 'e_2' ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 5, [ ~( product( X, 'e_1', Y ) ), ~( greater( Y, Z ) ), ~( next( X
% 0.42/1.06 , Z ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 6, [ 'group_element'( 'e_1' ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 7, [ 'group_element'( 'e_2' ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 8, [ 'group_element'( 'e_3' ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 9, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 10, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 11, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 12, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 13, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 14, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 15, [ ~( 'group_element'( X ) ), product( X, Y, 'e_3' ), product( X
% 0.42/1.06 , Y, 'e_1' ), product( X, Y, 'e_2' ), ~( 'group_element'( Y ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 17, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T,
% 0.42/1.06 Z ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 18, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y,
% 0.42/1.06 Z ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 19, [ ~( product( X, Y, Z ) ), product( Z, T, Y ), ~( product( Y, X
% 0.42/1.06 , T ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 20, [ product( X, X, 'e_3' ), product( X, X, 'e_1' ), product( X, X
% 0.42/1.06 , 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 24, [ product( Y, Y, X ), ~( product( X, X, Y ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 26, [ ~( product( 'e_1', 'e_1', X ) ), ~( greater( X, 'e_2' ) ) ]
% 0.42/1.06 )
% 0.42/1.06 .
% 0.42/1.06 clause( 27, [ product( X, 'e_1', 'e_3' ), product( X, 'e_1', 'e_1' ),
% 0.42/1.06 product( X, 'e_1', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 28, [ product( X, 'e_2', 'e_3' ), product( X, 'e_2', 'e_1' ),
% 0.42/1.06 product( X, 'e_2', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 29, [ product( X, 'e_3', 'e_3' ), product( X, 'e_3', 'e_1' ),
% 0.42/1.06 product( X, 'e_3', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 30, [ ~( product( 'e_1', 'e_1', 'e_3' ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 31, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1', 'e_2'
% 0.42/1.06 ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 32, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2'
% 0.42/1.06 ), product( 'e_2', 'e_1', 'e_3' ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 33, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.42/1.06 ), product( 'e_3', 'e_1', 'e_3' ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 35, [ equalish( X, 'e_1' ), product( 'e_1', 'e_1', 'e_1' ), ~(
% 0.42/1.06 product( 'e_1', X, 'e_2' ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 36, [ equalish( X, 'e_1' ), product( 'e_1', 'e_1', 'e_1' ), ~(
% 0.42/1.06 product( X, 'e_1', 'e_2' ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 41, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2'
% 0.42/1.06 ), product( 'e_2', 'e_2', 'e_3' ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 42, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_2'
% 0.42/1.06 ), product( 'e_3', 'e_3', 'e_3' ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 52, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_2'
% 0.42/1.06 ), product( 'e_3', 'e_2', 'e_3' ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 53, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2'
% 0.42/1.06 ), product( 'e_1', 'e_3', 'e_3' ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 54, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2'
% 0.42/1.06 ), product( 'e_2', 'e_3', 'e_3' ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 56, [ product( 'e_2', 'e_1', 'e_1' ), equalish( X, 'e_1' ), product(
% 0.42/1.06 'e_2', 'e_1', 'e_2' ), ~( product( 'e_2', X, 'e_3' ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 68, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.42/1.06 ), product( X, 'e_3', 'e_3' ), ~( product( 'e_1', 'e_3', X ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 74, [ product( 'e_1', 'e_3', 'e_1' ), product( X, 'e_3', 'e_1' ),
% 0.42/1.06 product( 'e_1', 'e_3', 'e_2' ), ~( product( 'e_3', 'e_1', X ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 76, [ product( 'e_1', 'e_3', 'e_1' ), equalish( X, 'e_1' ), product(
% 0.42/1.06 'e_1', 'e_3', 'e_2' ), ~( product( X, 'e_3', 'e_3' ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 90, [ product( 'e_3', 'e_2', 'e_1' ), equalish( X, 'e_3' ), product(
% 0.42/1.06 'e_3', 'e_2', 'e_2' ), ~( product( X, 'e_2', 'e_3' ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 93, [ product( 'e_2', 'e_2', 'e_1' ), equalish( X, 'e_2' ), product(
% 0.42/1.06 'e_2', 'e_2', 'e_2' ), ~( product( 'e_2', X, 'e_3' ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 96, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2'
% 0.42/1.06 ), product( 'e_3', 'e_3', 'e_2' ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 98, [ product( 'e_3', 'e_3', 'e_1' ), equalish( X, 'e_3' ), product(
% 0.42/1.06 'e_3', 'e_3', 'e_2' ), ~( product( 'e_3', X, 'e_3' ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 103, [ product( 'e_2', 'e_2', 'e_1' ), equalish( X, 'e_3' ),
% 0.42/1.06 product( 'e_2', 'e_2', 'e_2' ), ~( product( X, 'e_3', 'e_2' ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 107, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.42/1.06 ), product( 'e_2', 'e_1', 'e_2' ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 108, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_2', 'e_1'
% 0.42/1.06 ), product( 'e_3', 'e_2', 'e_2' ), product( 'e_3', 'e_3', 'e_2' ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 109, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_1'
% 0.42/1.06 ), product( 'e_3', 'e_1', 'e_2' ), product( 'e_3', 'e_3', 'e_2' ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 113, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.42/1.06 ), product( 'e_2', 'e_2', 'e_2' ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 120, [ product( 'e_3', 'e_1', 'e_2' ), product( 'e_1', 'e_3', 'e_1'
% 0.42/1.06 ), product( 'e_1', 'e_3', 'e_2' ), product( 'e_3', 'e_3', 'e_3' ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 122, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.42/1.06 ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 125, [ equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_1', 'e_1' ),
% 0.42/1.06 product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 128, [ product( 'e_1', 'e_3', 'e_1' ), equalish( X, 'e_1' ),
% 0.42/1.06 product( 'e_3', 'e_1', 'e_2' ), ~( product( X, 'e_3', 'e_2' ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 130, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.42/1.06 ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 132, [ product( 'e_1', 'e_1', 'e_1' ), product( X, 'e_1', 'e_1' ),
% 0.42/1.06 ~( product( 'e_3', 'e_1', X ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 138, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.42/1.06 ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 140, [ product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 143, [ equalish( X, 'e_1' ), ~( product( 'e_1', X, 'e_1' ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 144, [ equalish( X, 'e_1' ), ~( product( X, 'e_1', 'e_1' ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 209, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_3', 'e_1'
% 0.42/1.06 ), product( 'e_3', 'e_2', 'e_2' ), product( 'e_2', 'e_2', 'e_3' ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 217, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_3', 'e_1'
% 0.42/1.06 ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 227, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.42/1.06 ), equalish( 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 246, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.42/1.06 ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 250, [ equalish( X, 'e_1' ), product( 'e_3', 'e_3', 'e_1' ), ~(
% 0.42/1.06 product( 'e_3', X, 'e_2' ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 260, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_3', 'e_1'
% 0.42/1.06 ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 266, [ product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 268, [ product( X, 'e_1', 'e_3' ), ~( product( 'e_2', 'e_3', X ) )
% 0.42/1.06 ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 270, [ equalish( X, 'e_3' ), ~( product( X, 'e_2', 'e_1' ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 280, [ product( 'e_2', 'e_3', 'e_1' ), equalish( 'e_2', 'e_3' ),
% 0.42/1.06 product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 286, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_2', 'e_2'
% 0.42/1.06 ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 288, [ equalish( X, 'e_2' ), product( 'e_2', 'e_3', 'e_1' ), ~(
% 0.42/1.06 product( 'e_2', X, 'e_2' ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 291, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.42/1.06 ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 298, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.42/1.06 ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 299, [ product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 300, [] )
% 0.42/1.06 .
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 % SZS output end Refutation
% 0.42/1.06 found a proof!
% 0.42/1.06
% 0.42/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.06
% 0.42/1.06 initialclauses(
% 0.42/1.06 [ clause( 302, [ next( 'e_1', 'e_2' ) ] )
% 0.42/1.06 , clause( 303, [ next( 'e_2', 'e_3' ) ] )
% 0.42/1.06 , clause( 304, [ greater( 'e_2', 'e_1' ) ] )
% 0.42/1.06 , clause( 305, [ greater( 'e_3', 'e_1' ) ] )
% 0.42/1.06 , clause( 306, [ greater( 'e_3', 'e_2' ) ] )
% 0.42/1.06 , clause( 307, [ ~( product( X, 'e_1', Y ) ), ~( next( X, Z ) ), ~( greater(
% 0.42/1.06 Y, Z ) ) ] )
% 0.42/1.06 , clause( 308, [ 'group_element'( 'e_1' ) ] )
% 0.42/1.06 , clause( 309, [ 'group_element'( 'e_2' ) ] )
% 0.42/1.06 , clause( 310, [ 'group_element'( 'e_3' ) ] )
% 0.42/1.06 , clause( 311, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.42/1.06 , clause( 312, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.42/1.06 , clause( 313, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.42/1.06 , clause( 314, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.42/1.06 , clause( 315, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.42/1.06 , clause( 316, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.42/1.06 , clause( 317, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.42/1.06 product( X, Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ) ]
% 0.42/1.06 )
% 0.42/1.06 , clause( 318, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish(
% 0.42/1.06 Z, T ) ] )
% 0.42/1.06 , clause( 319, [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish(
% 0.42/1.06 Y, T ) ] )
% 0.42/1.06 , clause( 320, [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish(
% 0.42/1.06 X, T ) ] )
% 0.42/1.06 , clause( 321, [ ~( product( X, Y, Z ) ), ~( product( Y, X, T ) ), product(
% 0.42/1.06 Z, T, Y ) ] )
% 0.42/1.06 ] ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 0, [ next( 'e_1', 'e_2' ) ] )
% 0.42/1.06 , clause( 302, [ next( 'e_1', 'e_2' ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 4, [ greater( 'e_3', 'e_2' ) ] )
% 0.42/1.06 , clause( 306, [ greater( 'e_3', 'e_2' ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 5, [ ~( product( X, 'e_1', Y ) ), ~( greater( Y, Z ) ), ~( next( X
% 0.42/1.06 , Z ) ) ] )
% 0.42/1.06 , clause( 307, [ ~( product( X, 'e_1', Y ) ), ~( next( X, Z ) ), ~( greater(
% 0.42/1.06 Y, Z ) ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.42/1.06 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 6, [ 'group_element'( 'e_1' ) ] )
% 0.42/1.06 , clause( 308, [ 'group_element'( 'e_1' ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 7, [ 'group_element'( 'e_2' ) ] )
% 0.42/1.06 , clause( 309, [ 'group_element'( 'e_2' ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 8, [ 'group_element'( 'e_3' ) ] )
% 0.42/1.06 , clause( 310, [ 'group_element'( 'e_3' ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 9, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.42/1.06 , clause( 311, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 10, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.42/1.06 , clause( 312, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 11, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.42/1.06 , clause( 313, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 12, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.42/1.06 , clause( 314, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 13, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.42/1.06 , clause( 315, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 14, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.42/1.06 , clause( 316, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 15, [ ~( 'group_element'( X ) ), product( X, Y, 'e_3' ), product( X
% 0.42/1.06 , Y, 'e_1' ), product( X, Y, 'e_2' ), ~( 'group_element'( Y ) ) ] )
% 0.42/1.06 , clause( 317, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.42/1.06 product( X, Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ) ]
% 0.42/1.06 )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.06 ), ==>( 1, 4 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 1 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 17, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T,
% 0.42/1.06 Z ) ) ] )
% 0.42/1.06 , clause( 319, [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish(
% 0.42/1.06 Y, T ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.42/1.06 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 18, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y,
% 0.42/1.06 Z ) ) ] )
% 0.42/1.06 , clause( 320, [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish(
% 0.42/1.06 X, T ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.42/1.06 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 19, [ ~( product( X, Y, Z ) ), product( Z, T, Y ), ~( product( Y, X
% 0.42/1.06 , T ) ) ] )
% 0.42/1.06 , clause( 321, [ ~( product( X, Y, Z ) ), ~( product( Y, X, T ) ), product(
% 0.42/1.06 Z, T, Y ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.42/1.06 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 factor(
% 0.42/1.06 clause( 335, [ ~( 'group_element'( X ) ), product( X, X, 'e_3' ), product(
% 0.42/1.06 X, X, 'e_1' ), product( X, X, 'e_2' ) ] )
% 0.42/1.06 , clause( 15, [ ~( 'group_element'( X ) ), product( X, Y, 'e_3' ), product(
% 0.42/1.06 X, Y, 'e_1' ), product( X, Y, 'e_2' ), ~( 'group_element'( Y ) ) ] )
% 0.42/1.06 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, X )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 20, [ product( X, X, 'e_3' ), product( X, X, 'e_1' ), product( X, X
% 0.42/1.06 , 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.42/1.06 , clause( 335, [ ~( 'group_element'( X ) ), product( X, X, 'e_3' ), product(
% 0.42/1.06 X, X, 'e_1' ), product( X, X, 'e_2' ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 0.42/1.06 0 ), ==>( 2, 1 ), ==>( 3, 2 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 factor(
% 0.42/1.06 clause( 336, [ ~( product( X, X, Y ) ), product( Y, Y, X ) ] )
% 0.42/1.06 , clause( 19, [ ~( product( X, Y, Z ) ), product( Z, T, Y ), ~( product( Y
% 0.42/1.06 , X, T ) ) ] )
% 0.42/1.06 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, Y ), :=( T, Y )] )
% 0.42/1.06 ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 24, [ product( Y, Y, X ), ~( product( X, X, Y ) ) ] )
% 0.42/1.06 , clause( 336, [ ~( product( X, X, Y ) ), product( Y, Y, X ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.42/1.06 ), ==>( 1, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 337, [ ~( product( 'e_1', 'e_1', X ) ), ~( greater( X, 'e_2' ) ) ]
% 0.42/1.06 )
% 0.42/1.06 , clause( 5, [ ~( product( X, 'e_1', Y ) ), ~( greater( Y, Z ) ), ~( next(
% 0.42/1.06 X, Z ) ) ] )
% 0.42/1.06 , 2, clause( 0, [ next( 'e_1', 'e_2' ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, 'e_1' ), :=( Y, X ), :=( Z, 'e_2' )] ),
% 0.42/1.06 substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 26, [ ~( product( 'e_1', 'e_1', X ) ), ~( greater( X, 'e_2' ) ) ]
% 0.42/1.06 )
% 0.42/1.06 , clause( 337, [ ~( product( 'e_1', 'e_1', X ) ), ~( greater( X, 'e_2' ) )
% 0.42/1.06 ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.42/1.06 1 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 339, [ ~( 'group_element'( X ) ), product( X, 'e_1', 'e_3' ),
% 0.42/1.06 product( X, 'e_1', 'e_1' ), product( X, 'e_1', 'e_2' ) ] )
% 0.42/1.06 , clause( 15, [ ~( 'group_element'( X ) ), product( X, Y, 'e_3' ), product(
% 0.42/1.06 X, Y, 'e_1' ), product( X, Y, 'e_2' ), ~( 'group_element'( Y ) ) ] )
% 0.42/1.06 , 4, clause( 6, [ 'group_element'( 'e_1' ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_1' )] ), substitution( 1, [] )
% 0.42/1.06 ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 27, [ product( X, 'e_1', 'e_3' ), product( X, 'e_1', 'e_1' ),
% 0.42/1.06 product( X, 'e_1', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.42/1.06 , clause( 339, [ ~( 'group_element'( X ) ), product( X, 'e_1', 'e_3' ),
% 0.42/1.06 product( X, 'e_1', 'e_1' ), product( X, 'e_1', 'e_2' ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 0.42/1.06 0 ), ==>( 2, 1 ), ==>( 3, 2 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 341, [ ~( 'group_element'( X ) ), product( X, 'e_2', 'e_3' ),
% 0.42/1.06 product( X, 'e_2', 'e_1' ), product( X, 'e_2', 'e_2' ) ] )
% 0.42/1.06 , clause( 15, [ ~( 'group_element'( X ) ), product( X, Y, 'e_3' ), product(
% 0.42/1.06 X, Y, 'e_1' ), product( X, Y, 'e_2' ), ~( 'group_element'( Y ) ) ] )
% 0.42/1.06 , 4, clause( 7, [ 'group_element'( 'e_2' ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_2' )] ), substitution( 1, [] )
% 0.42/1.06 ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 28, [ product( X, 'e_2', 'e_3' ), product( X, 'e_2', 'e_1' ),
% 0.42/1.06 product( X, 'e_2', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.42/1.06 , clause( 341, [ ~( 'group_element'( X ) ), product( X, 'e_2', 'e_3' ),
% 0.42/1.06 product( X, 'e_2', 'e_1' ), product( X, 'e_2', 'e_2' ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 0.42/1.06 0 ), ==>( 2, 1 ), ==>( 3, 2 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 343, [ ~( 'group_element'( X ) ), product( X, 'e_3', 'e_3' ),
% 0.42/1.06 product( X, 'e_3', 'e_1' ), product( X, 'e_3', 'e_2' ) ] )
% 0.42/1.06 , clause( 15, [ ~( 'group_element'( X ) ), product( X, Y, 'e_3' ), product(
% 0.42/1.06 X, Y, 'e_1' ), product( X, Y, 'e_2' ), ~( 'group_element'( Y ) ) ] )
% 0.42/1.06 , 4, clause( 8, [ 'group_element'( 'e_3' ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_3' )] ), substitution( 1, [] )
% 0.42/1.06 ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 29, [ product( X, 'e_3', 'e_3' ), product( X, 'e_3', 'e_1' ),
% 0.42/1.06 product( X, 'e_3', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.42/1.06 , clause( 343, [ ~( 'group_element'( X ) ), product( X, 'e_3', 'e_3' ),
% 0.42/1.06 product( X, 'e_3', 'e_1' ), product( X, 'e_3', 'e_2' ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 0.42/1.06 0 ), ==>( 2, 1 ), ==>( 3, 2 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 344, [ ~( product( 'e_1', 'e_1', 'e_3' ) ) ] )
% 0.42/1.06 , clause( 26, [ ~( product( 'e_1', 'e_1', X ) ), ~( greater( X, 'e_2' ) ) ]
% 0.42/1.06 )
% 0.42/1.06 , 1, clause( 4, [ greater( 'e_3', 'e_2' ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 30, [ ~( product( 'e_1', 'e_1', 'e_3' ) ) ] )
% 0.42/1.06 , clause( 344, [ ~( product( 'e_1', 'e_1', 'e_3' ) ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 345, [ product( 'e_1', 'e_1', 'e_3' ), product( 'e_1', 'e_1', 'e_1'
% 0.42/1.06 ), product( 'e_1', 'e_1', 'e_2' ) ] )
% 0.42/1.06 , clause( 27, [ product( X, 'e_1', 'e_3' ), product( X, 'e_1', 'e_1' ),
% 0.42/1.06 product( X, 'e_1', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.42/1.06 , 3, clause( 6, [ 'group_element'( 'e_1' ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 346, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1', 'e_2'
% 0.42/1.06 ) ] )
% 0.42/1.06 , clause( 30, [ ~( product( 'e_1', 'e_1', 'e_3' ) ) ] )
% 0.42/1.06 , 0, clause( 345, [ product( 'e_1', 'e_1', 'e_3' ), product( 'e_1', 'e_1',
% 0.42/1.06 'e_1' ), product( 'e_1', 'e_1', 'e_2' ) ] )
% 0.42/1.06 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 31, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1', 'e_2'
% 0.42/1.06 ) ] )
% 0.42/1.06 , clause( 346, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1',
% 0.42/1.06 'e_2' ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.42/1.06 ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 347, [ product( 'e_2', 'e_1', 'e_3' ), product( 'e_2', 'e_1', 'e_1'
% 0.42/1.06 ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.42/1.06 , clause( 27, [ product( X, 'e_1', 'e_3' ), product( X, 'e_1', 'e_1' ),
% 0.42/1.06 product( X, 'e_1', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.42/1.06 , 3, clause( 7, [ 'group_element'( 'e_2' ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 32, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2'
% 0.42/1.06 ), product( 'e_2', 'e_1', 'e_3' ) ] )
% 0.42/1.06 , clause( 347, [ product( 'e_2', 'e_1', 'e_3' ), product( 'e_2', 'e_1',
% 0.42/1.06 'e_1' ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.42/1.06 , 1 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 348, [ product( 'e_3', 'e_1', 'e_3' ), product( 'e_3', 'e_1', 'e_1'
% 0.42/1.06 ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.42/1.06 , clause( 27, [ product( X, 'e_1', 'e_3' ), product( X, 'e_1', 'e_1' ),
% 0.42/1.06 product( X, 'e_1', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.42/1.06 , 3, clause( 8, [ 'group_element'( 'e_3' ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 33, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.42/1.06 ), product( 'e_3', 'e_1', 'e_3' ) ] )
% 0.42/1.06 , clause( 348, [ product( 'e_3', 'e_1', 'e_3' ), product( 'e_3', 'e_1',
% 0.42/1.06 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.42/1.06 , 1 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 352, [ equalish( X, 'e_1' ), ~( product( 'e_1', X, 'e_2' ) ),
% 0.42/1.06 product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.42/1.06 , clause( 17, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.42/1.06 , Z ) ) ] )
% 0.42/1.06 , 2, clause( 31, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1',
% 0.42/1.06 'e_2' ) ] )
% 0.42/1.06 , 1, substitution( 0, [ :=( X, 'e_1' ), :=( Y, X ), :=( Z, 'e_2' ), :=( T,
% 0.42/1.06 'e_1' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 35, [ equalish( X, 'e_1' ), product( 'e_1', 'e_1', 'e_1' ), ~(
% 0.42/1.06 product( 'e_1', X, 'e_2' ) ) ] )
% 0.42/1.06 , clause( 352, [ equalish( X, 'e_1' ), ~( product( 'e_1', X, 'e_2' ) ),
% 0.42/1.06 product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.42/1.06 2 ), ==>( 2, 1 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 356, [ equalish( X, 'e_1' ), ~( product( X, 'e_1', 'e_2' ) ),
% 0.42/1.06 product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.42/1.06 , clause( 18, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.42/1.06 , Z ) ) ] )
% 0.42/1.06 , 2, clause( 31, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1',
% 0.42/1.06 'e_2' ) ] )
% 0.42/1.06 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'e_1' ), :=( Z, 'e_2' ), :=( T,
% 0.42/1.06 'e_1' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 36, [ equalish( X, 'e_1' ), product( 'e_1', 'e_1', 'e_1' ), ~(
% 0.42/1.06 product( X, 'e_1', 'e_2' ) ) ] )
% 0.42/1.06 , clause( 356, [ equalish( X, 'e_1' ), ~( product( X, 'e_1', 'e_2' ) ),
% 0.42/1.06 product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.42/1.06 2 ), ==>( 2, 1 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 357, [ product( 'e_2', 'e_2', 'e_3' ), product( 'e_2', 'e_2', 'e_1'
% 0.42/1.06 ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.42/1.06 , clause( 20, [ product( X, X, 'e_3' ), product( X, X, 'e_1' ), product( X
% 0.42/1.06 , X, 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.42/1.06 , 3, clause( 7, [ 'group_element'( 'e_2' ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 41, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2'
% 0.42/1.06 ), product( 'e_2', 'e_2', 'e_3' ) ] )
% 0.42/1.06 , clause( 357, [ product( 'e_2', 'e_2', 'e_3' ), product( 'e_2', 'e_2',
% 0.42/1.06 'e_1' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.42/1.06 , 1 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 358, [ product( 'e_3', 'e_3', 'e_3' ), product( 'e_3', 'e_3', 'e_1'
% 0.42/1.06 ), product( 'e_3', 'e_3', 'e_2' ) ] )
% 0.42/1.06 , clause( 20, [ product( X, X, 'e_3' ), product( X, X, 'e_1' ), product( X
% 0.42/1.06 , X, 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.42/1.06 , 3, clause( 8, [ 'group_element'( 'e_3' ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 42, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_2'
% 0.42/1.06 ), product( 'e_3', 'e_3', 'e_3' ) ] )
% 0.42/1.06 , clause( 358, [ product( 'e_3', 'e_3', 'e_3' ), product( 'e_3', 'e_3',
% 0.42/1.06 'e_1' ), product( 'e_3', 'e_3', 'e_2' ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.42/1.06 , 1 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 359, [ product( 'e_3', 'e_2', 'e_3' ), product( 'e_3', 'e_2', 'e_1'
% 0.42/1.06 ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.42/1.06 , clause( 28, [ product( X, 'e_2', 'e_3' ), product( X, 'e_2', 'e_1' ),
% 0.42/1.06 product( X, 'e_2', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.42/1.06 , 3, clause( 8, [ 'group_element'( 'e_3' ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 52, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_2'
% 0.42/1.06 ), product( 'e_3', 'e_2', 'e_3' ) ] )
% 0.42/1.06 , clause( 359, [ product( 'e_3', 'e_2', 'e_3' ), product( 'e_3', 'e_2',
% 0.42/1.06 'e_1' ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.42/1.06 , 1 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 360, [ product( 'e_1', 'e_3', 'e_3' ), product( 'e_1', 'e_3', 'e_1'
% 0.42/1.06 ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.42/1.06 , clause( 29, [ product( X, 'e_3', 'e_3' ), product( X, 'e_3', 'e_1' ),
% 0.42/1.06 product( X, 'e_3', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.42/1.06 , 3, clause( 6, [ 'group_element'( 'e_1' ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 53, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2'
% 0.42/1.06 ), product( 'e_1', 'e_3', 'e_3' ) ] )
% 0.42/1.06 , clause( 360, [ product( 'e_1', 'e_3', 'e_3' ), product( 'e_1', 'e_3',
% 0.42/1.06 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.42/1.06 , 1 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 361, [ product( 'e_2', 'e_3', 'e_3' ), product( 'e_2', 'e_3', 'e_1'
% 0.42/1.06 ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.42/1.06 , clause( 29, [ product( X, 'e_3', 'e_3' ), product( X, 'e_3', 'e_1' ),
% 0.42/1.06 product( X, 'e_3', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.42/1.06 , 3, clause( 7, [ 'group_element'( 'e_2' ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 54, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2'
% 0.42/1.06 ), product( 'e_2', 'e_3', 'e_3' ) ] )
% 0.42/1.06 , clause( 361, [ product( 'e_2', 'e_3', 'e_3' ), product( 'e_2', 'e_3',
% 0.42/1.06 'e_1' ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.42/1.06 , 1 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 367, [ equalish( X, 'e_1' ), ~( product( 'e_2', X, 'e_3' ) ),
% 0.42/1.06 product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.42/1.06 , clause( 17, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.42/1.06 , Z ) ) ] )
% 0.42/1.06 , 2, clause( 32, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1',
% 0.42/1.06 'e_2' ), product( 'e_2', 'e_1', 'e_3' ) ] )
% 0.42/1.06 , 2, substitution( 0, [ :=( X, 'e_2' ), :=( Y, X ), :=( Z, 'e_3' ), :=( T,
% 0.42/1.06 'e_1' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 56, [ product( 'e_2', 'e_1', 'e_1' ), equalish( X, 'e_1' ), product(
% 0.42/1.06 'e_2', 'e_1', 'e_2' ), ~( product( 'e_2', X, 'e_3' ) ) ] )
% 0.42/1.06 , clause( 367, [ equalish( X, 'e_1' ), ~( product( 'e_2', X, 'e_3' ) ),
% 0.42/1.06 product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.42/1.06 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 373, [ ~( product( 'e_1', 'e_3', X ) ), product( X, 'e_3', 'e_3' )
% 0.42/1.06 , product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.42/1.06 , clause( 19, [ ~( product( X, Y, Z ) ), product( Z, T, Y ), ~( product( Y
% 0.42/1.06 , X, T ) ) ] )
% 0.42/1.06 , 2, clause( 33, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1',
% 0.42/1.06 'e_2' ), product( 'e_3', 'e_1', 'e_3' ) ] )
% 0.42/1.06 , 2, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_3' ), :=( Z, X ), :=( T,
% 0.42/1.06 'e_3' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 68, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.42/1.06 ), product( X, 'e_3', 'e_3' ), ~( product( 'e_1', 'e_3', X ) ) ] )
% 0.42/1.06 , clause( 373, [ ~( product( 'e_1', 'e_3', X ) ), product( X, 'e_3', 'e_3'
% 0.42/1.06 ), product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 0.42/1.06 2 ), ==>( 2, 0 ), ==>( 3, 1 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 381, [ ~( product( 'e_3', 'e_1', X ) ), product( X, 'e_3', 'e_1' )
% 0.42/1.06 , product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.42/1.06 , clause( 19, [ ~( product( X, Y, Z ) ), product( Z, T, Y ), ~( product( Y
% 0.42/1.06 , X, T ) ) ] )
% 0.42/1.06 , 2, clause( 53, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3',
% 0.42/1.06 'e_2' ), product( 'e_1', 'e_3', 'e_3' ) ] )
% 0.42/1.06 , 2, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_1' ), :=( Z, X ), :=( T,
% 0.42/1.06 'e_3' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 74, [ product( 'e_1', 'e_3', 'e_1' ), product( X, 'e_3', 'e_1' ),
% 0.42/1.06 product( 'e_1', 'e_3', 'e_2' ), ~( product( 'e_3', 'e_1', X ) ) ] )
% 0.42/1.06 , clause( 381, [ ~( product( 'e_3', 'e_1', X ) ), product( X, 'e_3', 'e_1'
% 0.42/1.06 ), product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 0.42/1.06 1 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 389, [ equalish( X, 'e_1' ), ~( product( X, 'e_3', 'e_3' ) ),
% 0.42/1.06 product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.42/1.06 , clause( 18, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.42/1.06 , Z ) ) ] )
% 0.42/1.06 , 2, clause( 53, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3',
% 0.42/1.06 'e_2' ), product( 'e_1', 'e_3', 'e_3' ) ] )
% 0.42/1.06 , 2, substitution( 0, [ :=( X, X ), :=( Y, 'e_3' ), :=( Z, 'e_3' ), :=( T,
% 0.42/1.06 'e_1' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 76, [ product( 'e_1', 'e_3', 'e_1' ), equalish( X, 'e_1' ), product(
% 0.42/1.06 'e_1', 'e_3', 'e_2' ), ~( product( X, 'e_3', 'e_3' ) ) ] )
% 0.42/1.06 , clause( 389, [ equalish( X, 'e_1' ), ~( product( X, 'e_3', 'e_3' ) ),
% 0.42/1.06 product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.42/1.06 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 395, [ equalish( X, 'e_3' ), ~( product( X, 'e_2', 'e_3' ) ),
% 0.42/1.06 product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.42/1.06 , clause( 18, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.42/1.06 , Z ) ) ] )
% 0.42/1.06 , 2, clause( 52, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2',
% 0.42/1.06 'e_2' ), product( 'e_3', 'e_2', 'e_3' ) ] )
% 0.42/1.06 , 2, substitution( 0, [ :=( X, X ), :=( Y, 'e_2' ), :=( Z, 'e_3' ), :=( T,
% 0.42/1.06 'e_3' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 90, [ product( 'e_3', 'e_2', 'e_1' ), equalish( X, 'e_3' ), product(
% 0.42/1.06 'e_3', 'e_2', 'e_2' ), ~( product( X, 'e_2', 'e_3' ) ) ] )
% 0.42/1.06 , clause( 395, [ equalish( X, 'e_3' ), ~( product( X, 'e_2', 'e_3' ) ),
% 0.42/1.06 product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.42/1.06 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 401, [ equalish( X, 'e_2' ), ~( product( 'e_2', X, 'e_3' ) ),
% 0.42/1.06 product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.42/1.06 , clause( 17, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.42/1.06 , Z ) ) ] )
% 0.42/1.06 , 2, clause( 41, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2',
% 0.42/1.06 'e_2' ), product( 'e_2', 'e_2', 'e_3' ) ] )
% 0.42/1.06 , 2, substitution( 0, [ :=( X, 'e_2' ), :=( Y, X ), :=( Z, 'e_3' ), :=( T,
% 0.42/1.06 'e_2' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 93, [ product( 'e_2', 'e_2', 'e_1' ), equalish( X, 'e_2' ), product(
% 0.42/1.06 'e_2', 'e_2', 'e_2' ), ~( product( 'e_2', X, 'e_3' ) ) ] )
% 0.42/1.06 , clause( 401, [ equalish( X, 'e_2' ), ~( product( 'e_2', X, 'e_3' ) ),
% 0.42/1.06 product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.42/1.06 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 404, [ product( 'e_3', 'e_3', 'e_2' ), product( 'e_2', 'e_2', 'e_1'
% 0.42/1.06 ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.42/1.06 , clause( 24, [ product( Y, Y, X ), ~( product( X, X, Y ) ) ] )
% 0.42/1.06 , 1, clause( 41, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2',
% 0.42/1.06 'e_2' ), product( 'e_2', 'e_2', 'e_3' ) ] )
% 0.42/1.06 , 2, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_3' )] ), substitution( 1
% 0.42/1.06 , [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 96, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2'
% 0.42/1.06 ), product( 'e_3', 'e_3', 'e_2' ) ] )
% 0.42/1.06 , clause( 404, [ product( 'e_3', 'e_3', 'e_2' ), product( 'e_2', 'e_2',
% 0.42/1.06 'e_1' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.42/1.06 , 1 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 410, [ equalish( X, 'e_3' ), ~( product( 'e_3', X, 'e_3' ) ),
% 0.42/1.06 product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_2' ) ] )
% 0.42/1.06 , clause( 17, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.42/1.06 , Z ) ) ] )
% 0.42/1.06 , 2, clause( 42, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_3',
% 0.42/1.06 'e_2' ), product( 'e_3', 'e_3', 'e_3' ) ] )
% 0.42/1.06 , 2, substitution( 0, [ :=( X, 'e_3' ), :=( Y, X ), :=( Z, 'e_3' ), :=( T,
% 0.42/1.06 'e_3' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 98, [ product( 'e_3', 'e_3', 'e_1' ), equalish( X, 'e_3' ), product(
% 0.42/1.06 'e_3', 'e_3', 'e_2' ), ~( product( 'e_3', X, 'e_3' ) ) ] )
% 0.42/1.06 , clause( 410, [ equalish( X, 'e_3' ), ~( product( 'e_3', X, 'e_3' ) ),
% 0.42/1.06 product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_2' ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.42/1.06 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 416, [ equalish( X, 'e_3' ), ~( product( X, 'e_3', 'e_2' ) ),
% 0.42/1.06 product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.42/1.06 , clause( 18, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.42/1.06 , Z ) ) ] )
% 0.42/1.06 , 2, clause( 96, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2',
% 0.42/1.06 'e_2' ), product( 'e_3', 'e_3', 'e_2' ) ] )
% 0.42/1.06 , 2, substitution( 0, [ :=( X, X ), :=( Y, 'e_3' ), :=( Z, 'e_2' ), :=( T,
% 0.42/1.06 'e_3' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 103, [ product( 'e_2', 'e_2', 'e_1' ), equalish( X, 'e_3' ),
% 0.42/1.06 product( 'e_2', 'e_2', 'e_2' ), ~( product( X, 'e_3', 'e_2' ) ) ] )
% 0.42/1.06 , clause( 416, [ equalish( X, 'e_3' ), ~( product( X, 'e_3', 'e_2' ) ),
% 0.42/1.06 product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.42/1.06 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 417, [ product( 'e_2', 'e_1', 'e_1' ), equalish( 'e_3', 'e_1' ),
% 0.42/1.06 product( 'e_2', 'e_1', 'e_2' ), product( 'e_2', 'e_3', 'e_1' ), product(
% 0.42/1.06 'e_2', 'e_3', 'e_2' ) ] )
% 0.42/1.06 , clause( 56, [ product( 'e_2', 'e_1', 'e_1' ), equalish( X, 'e_1' ),
% 0.42/1.06 product( 'e_2', 'e_1', 'e_2' ), ~( product( 'e_2', X, 'e_3' ) ) ] )
% 0.42/1.06 , 3, clause( 54, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3',
% 0.42/1.06 'e_2' ), product( 'e_2', 'e_3', 'e_3' ) ] )
% 0.42/1.06 , 2, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 418, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2'
% 0.42/1.06 ), product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.42/1.06 , clause( 13, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.42/1.06 , 0, clause( 417, [ product( 'e_2', 'e_1', 'e_1' ), equalish( 'e_3', 'e_1'
% 0.42/1.06 ), product( 'e_2', 'e_1', 'e_2' ), product( 'e_2', 'e_3', 'e_1' ),
% 0.42/1.06 product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.42/1.06 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 107, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.42/1.06 ), product( 'e_2', 'e_1', 'e_2' ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.42/1.06 , clause( 418, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1',
% 0.42/1.06 'e_2' ), product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2' ) ]
% 0.42/1.06 )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2
% 0.42/1.06 , 1 ), ==>( 3, 3 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 419, [ product( 'e_3', 'e_3', 'e_1' ), equalish( 'e_2', 'e_3' ),
% 0.42/1.06 product( 'e_3', 'e_3', 'e_2' ), product( 'e_3', 'e_2', 'e_1' ), product(
% 0.42/1.06 'e_3', 'e_2', 'e_2' ) ] )
% 0.42/1.06 , clause( 98, [ product( 'e_3', 'e_3', 'e_1' ), equalish( X, 'e_3' ),
% 0.42/1.06 product( 'e_3', 'e_3', 'e_2' ), ~( product( 'e_3', X, 'e_3' ) ) ] )
% 0.42/1.06 , 3, clause( 52, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2',
% 0.42/1.06 'e_2' ), product( 'e_3', 'e_2', 'e_3' ) ] )
% 0.42/1.06 , 2, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 420, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_2'
% 0.42/1.06 ), product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.42/1.06 , clause( 12, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.42/1.06 , 0, clause( 419, [ product( 'e_3', 'e_3', 'e_1' ), equalish( 'e_2', 'e_3'
% 0.42/1.06 ), product( 'e_3', 'e_3', 'e_2' ), product( 'e_3', 'e_2', 'e_1' ),
% 0.42/1.06 product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.42/1.06 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 108, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_2', 'e_1'
% 0.42/1.06 ), product( 'e_3', 'e_2', 'e_2' ), product( 'e_3', 'e_3', 'e_2' ) ] )
% 0.42/1.06 , clause( 420, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_3',
% 0.42/1.06 'e_2' ), product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_2' ) ]
% 0.42/1.06 )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 3 ), ==>( 2
% 0.42/1.06 , 1 ), ==>( 3, 2 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 421, [ product( 'e_3', 'e_3', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.42/1.06 product( 'e_3', 'e_3', 'e_2' ), product( 'e_3', 'e_1', 'e_1' ), product(
% 0.42/1.06 'e_3', 'e_1', 'e_2' ) ] )
% 0.42/1.06 , clause( 98, [ product( 'e_3', 'e_3', 'e_1' ), equalish( X, 'e_3' ),
% 0.42/1.06 product( 'e_3', 'e_3', 'e_2' ), ~( product( 'e_3', X, 'e_3' ) ) ] )
% 0.42/1.06 , 3, clause( 33, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1',
% 0.42/1.06 'e_2' ), product( 'e_3', 'e_1', 'e_3' ) ] )
% 0.42/1.06 , 2, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 422, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_2'
% 0.42/1.06 ), product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.42/1.06 , clause( 10, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.42/1.06 , 0, clause( 421, [ product( 'e_3', 'e_3', 'e_1' ), equalish( 'e_1', 'e_3'
% 0.42/1.06 ), product( 'e_3', 'e_3', 'e_2' ), product( 'e_3', 'e_1', 'e_1' ),
% 0.42/1.06 product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.42/1.06 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 109, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_1'
% 0.42/1.06 ), product( 'e_3', 'e_1', 'e_2' ), product( 'e_3', 'e_3', 'e_2' ) ] )
% 0.42/1.06 , clause( 422, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_3',
% 0.42/1.06 'e_2' ), product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ]
% 0.42/1.06 )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 3 ), ==>( 2
% 0.42/1.06 , 1 ), ==>( 3, 2 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 423, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_3', 'e_2' ),
% 0.42/1.06 product( 'e_2', 'e_2', 'e_2' ), product( 'e_2', 'e_3', 'e_1' ), product(
% 0.42/1.06 'e_2', 'e_3', 'e_2' ) ] )
% 0.42/1.06 , clause( 93, [ product( 'e_2', 'e_2', 'e_1' ), equalish( X, 'e_2' ),
% 0.42/1.06 product( 'e_2', 'e_2', 'e_2' ), ~( product( 'e_2', X, 'e_3' ) ) ] )
% 0.42/1.06 , 3, clause( 54, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3',
% 0.42/1.06 'e_2' ), product( 'e_2', 'e_3', 'e_3' ) ] )
% 0.42/1.06 , 2, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 424, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2'
% 0.42/1.06 ), product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.42/1.06 , clause( 14, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.42/1.06 , 0, clause( 423, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_3', 'e_2'
% 0.42/1.06 ), product( 'e_2', 'e_2', 'e_2' ), product( 'e_2', 'e_3', 'e_1' ),
% 0.42/1.06 product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.42/1.06 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 113, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.42/1.06 ), product( 'e_2', 'e_2', 'e_2' ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.42/1.06 , clause( 424, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2',
% 0.42/1.06 'e_2' ), product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2' ) ]
% 0.42/1.06 )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2
% 0.42/1.06 , 1 ), ==>( 3, 3 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 427, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.42/1.06 ), product( 'e_3', 'e_3', 'e_3' ), product( 'e_1', 'e_3', 'e_1' ),
% 0.42/1.06 product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.42/1.06 , clause( 68, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1',
% 0.42/1.06 'e_2' ), product( X, 'e_3', 'e_3' ), ~( product( 'e_1', 'e_3', X ) ) ] )
% 0.42/1.06 , 3, clause( 53, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3',
% 0.42/1.06 'e_2' ), product( 'e_1', 'e_3', 'e_3' ) ] )
% 0.42/1.06 , 2, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 446, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.42/1.06 ), product( 'e_1', 'e_3', 'e_2' ), product( 'e_3', 'e_1', 'e_2' ),
% 0.42/1.06 product( 'e_3', 'e_3', 'e_3' ), product( 'e_1', 'e_3', 'e_1' ), product(
% 0.42/1.06 'e_1', 'e_3', 'e_2' ) ] )
% 0.42/1.06 , clause( 74, [ product( 'e_1', 'e_3', 'e_1' ), product( X, 'e_3', 'e_1' )
% 0.42/1.06 , product( 'e_1', 'e_3', 'e_2' ), ~( product( 'e_3', 'e_1', X ) ) ] )
% 0.42/1.06 , 3, clause( 427, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1',
% 0.42/1.06 'e_2' ), product( 'e_3', 'e_3', 'e_3' ), product( 'e_1', 'e_3', 'e_1' ),
% 0.42/1.06 product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 factor(
% 0.42/1.06 clause( 448, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2'
% 0.42/1.06 ), product( 'e_3', 'e_1', 'e_2' ), product( 'e_3', 'e_3', 'e_3' ),
% 0.42/1.06 product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.42/1.06 , clause( 446, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3',
% 0.42/1.06 'e_1' ), product( 'e_1', 'e_3', 'e_2' ), product( 'e_3', 'e_1', 'e_2' ),
% 0.42/1.06 product( 'e_3', 'e_3', 'e_3' ), product( 'e_1', 'e_3', 'e_1' ), product(
% 0.42/1.06 'e_1', 'e_3', 'e_2' ) ] )
% 0.42/1.06 , 0, 1, substitution( 0, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 factor(
% 0.42/1.06 clause( 449, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2'
% 0.42/1.06 ), product( 'e_3', 'e_1', 'e_2' ), product( 'e_3', 'e_3', 'e_3' ),
% 0.42/1.06 product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.42/1.06 , clause( 448, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3',
% 0.42/1.06 'e_2' ), product( 'e_3', 'e_1', 'e_2' ), product( 'e_3', 'e_3', 'e_3' ),
% 0.42/1.06 product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.42/1.06 , 0, 4, substitution( 0, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 factor(
% 0.42/1.06 clause( 450, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2'
% 0.42/1.06 ), product( 'e_3', 'e_1', 'e_2' ), product( 'e_3', 'e_3', 'e_3' ) ] )
% 0.42/1.06 , clause( 449, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3',
% 0.42/1.06 'e_2' ), product( 'e_3', 'e_1', 'e_2' ), product( 'e_3', 'e_3', 'e_3' ),
% 0.42/1.06 product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.42/1.06 , 1, 4, substitution( 0, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 120, [ product( 'e_3', 'e_1', 'e_2' ), product( 'e_1', 'e_3', 'e_1'
% 0.42/1.06 ), product( 'e_1', 'e_3', 'e_2' ), product( 'e_3', 'e_3', 'e_3' ) ] )
% 0.42/1.06 , clause( 450, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3',
% 0.42/1.06 'e_2' ), product( 'e_3', 'e_1', 'e_2' ), product( 'e_3', 'e_3', 'e_3' ) ]
% 0.42/1.06 )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2
% 0.42/1.06 , 0 ), ==>( 3, 3 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 453, [ product( 'e_1', 'e_3', 'e_1' ), equalish( 'e_3', 'e_1' ),
% 0.42/1.06 product( 'e_1', 'e_3', 'e_2' ), product( 'e_3', 'e_1', 'e_2' ), product(
% 0.42/1.06 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.42/1.06 , clause( 76, [ product( 'e_1', 'e_3', 'e_1' ), equalish( X, 'e_1' ),
% 0.42/1.06 product( 'e_1', 'e_3', 'e_2' ), ~( product( X, 'e_3', 'e_3' ) ) ] )
% 0.42/1.06 , 3, clause( 120, [ product( 'e_3', 'e_1', 'e_2' ), product( 'e_1', 'e_3',
% 0.42/1.06 'e_1' ), product( 'e_1', 'e_3', 'e_2' ), product( 'e_3', 'e_3', 'e_3' ) ]
% 0.42/1.06 )
% 0.42/1.06 , 3, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 factor(
% 0.42/1.06 clause( 454, [ product( 'e_1', 'e_3', 'e_1' ), equalish( 'e_3', 'e_1' ),
% 0.42/1.06 product( 'e_1', 'e_3', 'e_2' ), product( 'e_3', 'e_1', 'e_2' ), product(
% 0.42/1.06 'e_1', 'e_3', 'e_2' ) ] )
% 0.42/1.06 , clause( 453, [ product( 'e_1', 'e_3', 'e_1' ), equalish( 'e_3', 'e_1' ),
% 0.42/1.06 product( 'e_1', 'e_3', 'e_2' ), product( 'e_3', 'e_1', 'e_2' ), product(
% 0.42/1.06 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.42/1.06 , 0, 4, substitution( 0, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 factor(
% 0.42/1.06 clause( 455, [ product( 'e_1', 'e_3', 'e_1' ), equalish( 'e_3', 'e_1' ),
% 0.42/1.06 product( 'e_1', 'e_3', 'e_2' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.42/1.06 , clause( 454, [ product( 'e_1', 'e_3', 'e_1' ), equalish( 'e_3', 'e_1' ),
% 0.42/1.06 product( 'e_1', 'e_3', 'e_2' ), product( 'e_3', 'e_1', 'e_2' ), product(
% 0.42/1.06 'e_1', 'e_3', 'e_2' ) ] )
% 0.42/1.06 , 2, 4, substitution( 0, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 456, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2'
% 0.42/1.06 ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.42/1.06 , clause( 13, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.42/1.06 , 0, clause( 455, [ product( 'e_1', 'e_3', 'e_1' ), equalish( 'e_3', 'e_1'
% 0.42/1.06 ), product( 'e_1', 'e_3', 'e_2' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.42/1.06 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 122, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.42/1.06 ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.42/1.06 , clause( 456, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3',
% 0.42/1.06 'e_2' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2
% 0.42/1.06 , 1 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 457, [ equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_1', 'e_1' ),
% 0.42/1.06 product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.42/1.06 , clause( 35, [ equalish( X, 'e_1' ), product( 'e_1', 'e_1', 'e_1' ), ~(
% 0.42/1.06 product( 'e_1', X, 'e_2' ) ) ] )
% 0.42/1.06 , 2, clause( 122, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_1',
% 0.42/1.06 'e_2' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.42/1.06 , 2, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 458, [ equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_1', 'e_1' ),
% 0.42/1.06 equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_1', 'e_1' ), product( 'e_1'
% 0.42/1.06 , 'e_3', 'e_1' ) ] )
% 0.42/1.06 , clause( 36, [ equalish( X, 'e_1' ), product( 'e_1', 'e_1', 'e_1' ), ~(
% 0.42/1.06 product( X, 'e_1', 'e_2' ) ) ] )
% 0.42/1.06 , 2, clause( 457, [ equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_1', 'e_1'
% 0.42/1.06 ), product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.42/1.06 , 3, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 factor(
% 0.42/1.06 clause( 460, [ equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_1', 'e_1' ),
% 0.42/1.06 equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.42/1.06 , clause( 458, [ equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_1', 'e_1' ),
% 0.42/1.06 equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_1', 'e_1' ), product( 'e_1'
% 0.42/1.06 , 'e_3', 'e_1' ) ] )
% 0.42/1.06 , 1, 3, substitution( 0, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 factor(
% 0.42/1.06 clause( 461, [ equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_1', 'e_1' ),
% 0.42/1.06 product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.42/1.06 , clause( 460, [ equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_1', 'e_1' ),
% 0.42/1.06 equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.42/1.06 , 0, 2, substitution( 0, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 125, [ equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_1', 'e_1' ),
% 0.42/1.06 product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.42/1.06 , clause( 461, [ equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_1', 'e_1' ),
% 0.42/1.06 product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.42/1.06 , 2 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 467, [ equalish( X, 'e_1' ), ~( product( X, 'e_3', 'e_2' ) ),
% 0.42/1.06 product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.42/1.06 , clause( 18, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.42/1.06 , Z ) ) ] )
% 0.42/1.06 , 2, clause( 122, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_1',
% 0.42/1.06 'e_2' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.42/1.06 , 2, substitution( 0, [ :=( X, X ), :=( Y, 'e_3' ), :=( Z, 'e_2' ), :=( T,
% 0.42/1.06 'e_1' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 128, [ product( 'e_1', 'e_3', 'e_1' ), equalish( X, 'e_1' ),
% 0.42/1.06 product( 'e_3', 'e_1', 'e_2' ), ~( product( X, 'e_3', 'e_2' ) ) ] )
% 0.42/1.06 , clause( 467, [ equalish( X, 'e_1' ), ~( product( X, 'e_3', 'e_2' ) ),
% 0.42/1.06 product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.42/1.06 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 468, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.42/1.06 ) ] )
% 0.42/1.06 , clause( 13, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.42/1.06 , 0, clause( 125, [ equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_1', 'e_1'
% 0.42/1.06 ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.42/1.06 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 130, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.42/1.06 ) ] )
% 0.42/1.06 , clause( 468, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_3',
% 0.42/1.06 'e_1' ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.42/1.06 ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 472, [ ~( product( 'e_3', 'e_1', X ) ), product( X, 'e_1', 'e_1' )
% 0.42/1.06 , product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.42/1.06 , clause( 19, [ ~( product( X, Y, Z ) ), product( Z, T, Y ), ~( product( Y
% 0.42/1.06 , X, T ) ) ] )
% 0.42/1.06 , 2, clause( 130, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_3',
% 0.42/1.06 'e_1' ) ] )
% 0.42/1.06 , 1, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_1' ), :=( Z, X ), :=( T,
% 0.42/1.06 'e_1' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 132, [ product( 'e_1', 'e_1', 'e_1' ), product( X, 'e_1', 'e_1' ),
% 0.42/1.06 ~( product( 'e_3', 'e_1', X ) ) ] )
% 0.42/1.06 , clause( 472, [ ~( product( 'e_3', 'e_1', X ) ), product( X, 'e_1', 'e_1'
% 0.42/1.06 ), product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.42/1.06 1 ), ==>( 2, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 477, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_1'
% 0.42/1.06 ), product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.42/1.06 , clause( 132, [ product( 'e_1', 'e_1', 'e_1' ), product( X, 'e_1', 'e_1' )
% 0.42/1.06 , ~( product( 'e_3', 'e_1', X ) ) ] )
% 0.42/1.06 , 2, clause( 33, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1',
% 0.42/1.06 'e_2' ), product( 'e_3', 'e_1', 'e_3' ) ] )
% 0.42/1.06 , 2, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 factor(
% 0.42/1.06 clause( 478, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_1'
% 0.42/1.06 ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.42/1.06 , clause( 477, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_3', 'e_1',
% 0.42/1.06 'e_1' ), product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ]
% 0.42/1.06 )
% 0.42/1.06 , 1, 2, substitution( 0, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 486, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1', 'e_1'
% 0.42/1.06 ), product( 'e_1', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.42/1.06 , clause( 132, [ product( 'e_1', 'e_1', 'e_1' ), product( X, 'e_1', 'e_1' )
% 0.42/1.06 , ~( product( 'e_3', 'e_1', X ) ) ] )
% 0.42/1.06 , 2, clause( 478, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_3', 'e_1',
% 0.42/1.06 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.42/1.06 , 1, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 factor(
% 0.42/1.06 clause( 488, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1', 'e_1'
% 0.42/1.06 ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.42/1.06 , clause( 486, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1',
% 0.42/1.06 'e_1' ), product( 'e_1', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ]
% 0.42/1.06 )
% 0.42/1.06 , 0, 1, substitution( 0, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 factor(
% 0.42/1.06 clause( 489, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.42/1.06 ) ] )
% 0.42/1.06 , clause( 488, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1',
% 0.42/1.06 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.42/1.06 , 0, 1, substitution( 0, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 138, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.42/1.06 ) ] )
% 0.42/1.06 , clause( 489, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_3', 'e_1',
% 0.42/1.06 'e_2' ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.42/1.06 ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 491, [ equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_1', 'e_1' ),
% 0.42/1.06 product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.42/1.06 , clause( 36, [ equalish( X, 'e_1' ), product( 'e_1', 'e_1', 'e_1' ), ~(
% 0.42/1.06 product( X, 'e_1', 'e_2' ) ) ] )
% 0.42/1.06 , 2, clause( 138, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_3', 'e_1',
% 0.42/1.06 'e_2' ) ] )
% 0.42/1.06 , 1, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 493, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1', 'e_1'
% 0.42/1.06 ) ] )
% 0.42/1.06 , clause( 13, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.42/1.06 , 0, clause( 491, [ equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_1', 'e_1'
% 0.42/1.06 ), product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.42/1.06 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 factor(
% 0.42/1.06 clause( 494, [ product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.42/1.06 , clause( 493, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1',
% 0.42/1.06 'e_1' ) ] )
% 0.42/1.06 , 0, 1, substitution( 0, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 140, [ product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.42/1.06 , clause( 494, [ product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 496, [ equalish( X, 'e_1' ), ~( product( 'e_1', X, 'e_1' ) ) ] )
% 0.42/1.06 , clause( 17, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.42/1.06 , Z ) ) ] )
% 0.42/1.06 , 2, clause( 140, [ product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, 'e_1' ), :=( Y, X ), :=( Z, 'e_1' ), :=( T,
% 0.42/1.06 'e_1' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 143, [ equalish( X, 'e_1' ), ~( product( 'e_1', X, 'e_1' ) ) ] )
% 0.42/1.06 , clause( 496, [ equalish( X, 'e_1' ), ~( product( 'e_1', X, 'e_1' ) ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.42/1.06 1 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 498, [ equalish( X, 'e_1' ), ~( product( X, 'e_1', 'e_1' ) ) ] )
% 0.42/1.06 , clause( 18, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.42/1.06 , Z ) ) ] )
% 0.42/1.06 , 2, clause( 140, [ product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_1' ), :=( Z, 'e_1' ), :=( T,
% 0.42/1.06 'e_1' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 144, [ equalish( X, 'e_1' ), ~( product( X, 'e_1', 'e_1' ) ) ] )
% 0.42/1.06 , clause( 498, [ equalish( X, 'e_1' ), ~( product( X, 'e_1', 'e_1' ) ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.42/1.06 1 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 500, [ product( 'e_2', 'e_2', 'e_3' ), product( 'e_3', 'e_3', 'e_1'
% 0.42/1.06 ), product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.42/1.06 , clause( 24, [ product( Y, Y, X ), ~( product( X, X, Y ) ) ] )
% 0.42/1.06 , 1, clause( 108, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_2',
% 0.42/1.06 'e_1' ), product( 'e_3', 'e_2', 'e_2' ), product( 'e_3', 'e_3', 'e_2' ) ]
% 0.42/1.06 )
% 0.42/1.06 , 3, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_2' )] ), substitution( 1
% 0.42/1.06 , [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 209, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_3', 'e_1'
% 0.42/1.06 ), product( 'e_3', 'e_2', 'e_2' ), product( 'e_2', 'e_2', 'e_3' ) ] )
% 0.42/1.06 , clause( 500, [ product( 'e_2', 'e_2', 'e_3' ), product( 'e_3', 'e_3',
% 0.42/1.06 'e_1' ), product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_2' ) ]
% 0.42/1.06 )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 1 ), ==>( 2
% 0.42/1.06 , 0 ), ==>( 3, 2 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 501, [ product( 'e_3', 'e_2', 'e_1' ), equalish( 'e_2', 'e_3' ),
% 0.42/1.06 product( 'e_3', 'e_2', 'e_2' ), product( 'e_3', 'e_2', 'e_1' ), product(
% 0.42/1.06 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.42/1.06 , clause( 90, [ product( 'e_3', 'e_2', 'e_1' ), equalish( X, 'e_3' ),
% 0.42/1.06 product( 'e_3', 'e_2', 'e_2' ), ~( product( X, 'e_2', 'e_3' ) ) ] )
% 0.42/1.06 , 3, clause( 209, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_3',
% 0.42/1.06 'e_1' ), product( 'e_3', 'e_2', 'e_2' ), product( 'e_2', 'e_2', 'e_3' ) ]
% 0.42/1.06 )
% 0.42/1.06 , 3, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 factor(
% 0.42/1.06 clause( 502, [ product( 'e_3', 'e_2', 'e_1' ), equalish( 'e_2', 'e_3' ),
% 0.42/1.06 product( 'e_3', 'e_2', 'e_2' ), product( 'e_3', 'e_3', 'e_1' ), product(
% 0.42/1.06 'e_3', 'e_2', 'e_2' ) ] )
% 0.42/1.06 , clause( 501, [ product( 'e_3', 'e_2', 'e_1' ), equalish( 'e_2', 'e_3' ),
% 0.42/1.06 product( 'e_3', 'e_2', 'e_2' ), product( 'e_3', 'e_2', 'e_1' ), product(
% 0.42/1.06 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.42/1.06 , 0, 3, substitution( 0, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 factor(
% 0.42/1.06 clause( 503, [ product( 'e_3', 'e_2', 'e_1' ), equalish( 'e_2', 'e_3' ),
% 0.42/1.06 product( 'e_3', 'e_2', 'e_2' ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.42/1.06 , clause( 502, [ product( 'e_3', 'e_2', 'e_1' ), equalish( 'e_2', 'e_3' ),
% 0.42/1.06 product( 'e_3', 'e_2', 'e_2' ), product( 'e_3', 'e_3', 'e_1' ), product(
% 0.42/1.06 'e_3', 'e_2', 'e_2' ) ] )
% 0.42/1.06 , 2, 4, substitution( 0, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 504, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_2'
% 0.42/1.06 ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.42/1.06 , clause( 12, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.42/1.06 , 0, clause( 503, [ product( 'e_3', 'e_2', 'e_1' ), equalish( 'e_2', 'e_3'
% 0.42/1.06 ), product( 'e_3', 'e_2', 'e_2' ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.42/1.06 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 217, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_3', 'e_1'
% 0.42/1.06 ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.42/1.06 , clause( 504, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2',
% 0.42/1.06 'e_2' ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2
% 0.42/1.06 , 1 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 505, [ product( 'e_1', 'e_3', 'e_1' ), equalish( 'e_3', 'e_1' ),
% 0.42/1.06 product( 'e_3', 'e_1', 'e_2' ), product( 'e_3', 'e_3', 'e_1' ), product(
% 0.42/1.06 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.42/1.06 , clause( 128, [ product( 'e_1', 'e_3', 'e_1' ), equalish( X, 'e_1' ),
% 0.42/1.06 product( 'e_3', 'e_1', 'e_2' ), ~( product( X, 'e_3', 'e_2' ) ) ] )
% 0.42/1.06 , 3, clause( 109, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_1',
% 0.42/1.06 'e_1' ), product( 'e_3', 'e_1', 'e_2' ), product( 'e_3', 'e_3', 'e_2' ) ]
% 0.42/1.06 )
% 0.42/1.06 , 3, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 507, [ equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ),
% 0.42/1.06 equalish( 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ), product( 'e_3'
% 0.42/1.06 , 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.42/1.06 , clause( 144, [ equalish( X, 'e_1' ), ~( product( X, 'e_1', 'e_1' ) ) ] )
% 0.42/1.06 , 1, clause( 505, [ product( 'e_1', 'e_3', 'e_1' ), equalish( 'e_3', 'e_1'
% 0.42/1.06 ), product( 'e_3', 'e_1', 'e_2' ), product( 'e_3', 'e_3', 'e_1' ),
% 0.42/1.06 product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.42/1.06 , 4, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 factor(
% 0.42/1.06 clause( 509, [ equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ),
% 0.42/1.06 equalish( 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ), product( 'e_3'
% 0.42/1.06 , 'e_3', 'e_1' ) ] )
% 0.42/1.06 , clause( 507, [ equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ),
% 0.42/1.06 equalish( 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ), product( 'e_3'
% 0.42/1.06 , 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.42/1.06 , 3, 5, substitution( 0, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 factor(
% 0.42/1.06 clause( 510, [ equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ),
% 0.42/1.06 product( 'e_3', 'e_1', 'e_2' ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.42/1.06 , clause( 509, [ equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ),
% 0.42/1.06 equalish( 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ), product( 'e_3'
% 0.42/1.06 , 'e_3', 'e_1' ) ] )
% 0.42/1.06 , 0, 2, substitution( 0, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 227, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.42/1.06 ), equalish( 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.42/1.06 , clause( 510, [ equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ),
% 0.42/1.06 product( 'e_3', 'e_1', 'e_2' ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 1 ), ==>( 2
% 0.42/1.06 , 3 ), ==>( 3, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 511, [ equalish( 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_1' ),
% 0.42/1.06 equalish( 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.42/1.06 , clause( 143, [ equalish( X, 'e_1' ), ~( product( 'e_1', X, 'e_1' ) ) ] )
% 0.42/1.06 , 1, clause( 227, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_1', 'e_3',
% 0.42/1.06 'e_1' ), equalish( 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.42/1.06 , 1, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 factor(
% 0.42/1.06 clause( 512, [ equalish( 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_1' ),
% 0.42/1.06 product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.42/1.06 , clause( 511, [ equalish( 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_1' ),
% 0.42/1.06 equalish( 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.42/1.06 , 0, 2, substitution( 0, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 513, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.42/1.06 ) ] )
% 0.42/1.06 , clause( 13, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.42/1.06 , 0, clause( 512, [ equalish( 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_1'
% 0.42/1.06 ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.42/1.06 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 246, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.42/1.06 ) ] )
% 0.42/1.06 , clause( 513, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_1',
% 0.42/1.06 'e_2' ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.42/1.06 ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 517, [ equalish( X, 'e_1' ), ~( product( 'e_3', X, 'e_2' ) ),
% 0.42/1.06 product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.42/1.06 , clause( 17, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.42/1.06 , Z ) ) ] )
% 0.42/1.06 , 2, clause( 246, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_1',
% 0.42/1.06 'e_2' ) ] )
% 0.42/1.06 , 1, substitution( 0, [ :=( X, 'e_3' ), :=( Y, X ), :=( Z, 'e_2' ), :=( T,
% 0.42/1.06 'e_1' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 250, [ equalish( X, 'e_1' ), product( 'e_3', 'e_3', 'e_1' ), ~(
% 0.42/1.06 product( 'e_3', X, 'e_2' ) ) ] )
% 0.42/1.06 , clause( 517, [ equalish( X, 'e_1' ), ~( product( 'e_3', X, 'e_2' ) ),
% 0.42/1.06 product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.42/1.06 2 ), ==>( 2, 1 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 518, [ equalish( 'e_2', 'e_1' ), product( 'e_3', 'e_3', 'e_1' ),
% 0.42/1.06 product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.42/1.06 , clause( 250, [ equalish( X, 'e_1' ), product( 'e_3', 'e_3', 'e_1' ), ~(
% 0.42/1.06 product( 'e_3', X, 'e_2' ) ) ] )
% 0.42/1.06 , 2, clause( 217, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_3',
% 0.42/1.06 'e_1' ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.42/1.06 , 2, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 520, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_2', 'e_1'
% 0.42/1.06 ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.42/1.06 , clause( 11, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.42/1.06 , 0, clause( 518, [ equalish( 'e_2', 'e_1' ), product( 'e_3', 'e_3', 'e_1'
% 0.42/1.06 ), product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.42/1.06 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 factor(
% 0.42/1.06 clause( 521, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_2', 'e_1'
% 0.42/1.06 ) ] )
% 0.42/1.06 , clause( 520, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_2',
% 0.42/1.06 'e_1' ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.42/1.06 , 0, 2, substitution( 0, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 260, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_3', 'e_1'
% 0.42/1.06 ) ] )
% 0.42/1.06 , clause( 521, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_2',
% 0.42/1.06 'e_1' ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.42/1.06 ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 522, [ product( 'e_1', 'e_1', 'e_3' ), product( 'e_3', 'e_2', 'e_1'
% 0.42/1.06 ) ] )
% 0.42/1.06 , clause( 24, [ product( Y, Y, X ), ~( product( X, X, Y ) ) ] )
% 0.42/1.06 , 1, clause( 260, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_3',
% 0.42/1.06 'e_1' ) ] )
% 0.42/1.06 , 1, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_1' )] ), substitution( 1
% 0.42/1.06 , [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 523, [ product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.42/1.06 , clause( 30, [ ~( product( 'e_1', 'e_1', 'e_3' ) ) ] )
% 0.42/1.06 , 0, clause( 522, [ product( 'e_1', 'e_1', 'e_3' ), product( 'e_3', 'e_2',
% 0.42/1.06 'e_1' ) ] )
% 0.42/1.06 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 266, [ product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.42/1.06 , clause( 523, [ product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 525, [ ~( product( 'e_2', 'e_3', X ) ), product( X, 'e_1', 'e_3' )
% 0.42/1.06 ] )
% 0.42/1.06 , clause( 19, [ ~( product( X, Y, Z ) ), product( Z, T, Y ), ~( product( Y
% 0.42/1.06 , X, T ) ) ] )
% 0.42/1.06 , 2, clause( 266, [ product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_3' ), :=( Z, X ), :=( T,
% 0.42/1.06 'e_1' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 268, [ product( X, 'e_1', 'e_3' ), ~( product( 'e_2', 'e_3', X ) )
% 0.42/1.06 ] )
% 0.42/1.06 , clause( 525, [ ~( product( 'e_2', 'e_3', X ) ), product( X, 'e_1', 'e_3'
% 0.42/1.06 ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.42/1.06 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 527, [ equalish( X, 'e_3' ), ~( product( X, 'e_2', 'e_1' ) ) ] )
% 0.42/1.06 , clause( 18, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.42/1.06 , Z ) ) ] )
% 0.42/1.06 , 2, clause( 266, [ product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_2' ), :=( Z, 'e_1' ), :=( T,
% 0.42/1.06 'e_3' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 270, [ equalish( X, 'e_3' ), ~( product( X, 'e_2', 'e_1' ) ) ] )
% 0.42/1.06 , clause( 527, [ equalish( X, 'e_3' ), ~( product( X, 'e_2', 'e_1' ) ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.42/1.06 1 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 528, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_2', 'e_3' ),
% 0.42/1.06 product( 'e_2', 'e_2', 'e_2' ), product( 'e_2', 'e_2', 'e_1' ), product(
% 0.42/1.06 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.42/1.06 , clause( 103, [ product( 'e_2', 'e_2', 'e_1' ), equalish( X, 'e_3' ),
% 0.42/1.06 product( 'e_2', 'e_2', 'e_2' ), ~( product( X, 'e_3', 'e_2' ) ) ] )
% 0.42/1.06 , 3, clause( 113, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_3',
% 0.42/1.06 'e_1' ), product( 'e_2', 'e_2', 'e_2' ), product( 'e_2', 'e_3', 'e_2' ) ]
% 0.42/1.06 )
% 0.42/1.06 , 3, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 factor(
% 0.42/1.06 clause( 529, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_2', 'e_3' ),
% 0.42/1.06 product( 'e_2', 'e_2', 'e_2' ), product( 'e_2', 'e_3', 'e_1' ), product(
% 0.42/1.06 'e_2', 'e_2', 'e_2' ) ] )
% 0.42/1.06 , clause( 528, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_2', 'e_3' ),
% 0.42/1.06 product( 'e_2', 'e_2', 'e_2' ), product( 'e_2', 'e_2', 'e_1' ), product(
% 0.42/1.06 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.42/1.06 , 0, 3, substitution( 0, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 factor(
% 0.42/1.06 clause( 530, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_2', 'e_3' ),
% 0.42/1.06 product( 'e_2', 'e_2', 'e_2' ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.42/1.06 , clause( 529, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_2', 'e_3' ),
% 0.42/1.06 product( 'e_2', 'e_2', 'e_2' ), product( 'e_2', 'e_3', 'e_1' ), product(
% 0.42/1.06 'e_2', 'e_2', 'e_2' ) ] )
% 0.42/1.06 , 2, 4, substitution( 0, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 531, [ equalish( 'e_2', 'e_3' ), equalish( 'e_2', 'e_3' ), product(
% 0.42/1.06 'e_2', 'e_2', 'e_2' ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.42/1.06 , clause( 270, [ equalish( X, 'e_3' ), ~( product( X, 'e_2', 'e_1' ) ) ] )
% 0.42/1.06 , 1, clause( 530, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_2', 'e_3'
% 0.42/1.06 ), product( 'e_2', 'e_2', 'e_2' ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 factor(
% 0.42/1.06 clause( 532, [ equalish( 'e_2', 'e_3' ), product( 'e_2', 'e_2', 'e_2' ),
% 0.42/1.06 product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.42/1.06 , clause( 531, [ equalish( 'e_2', 'e_3' ), equalish( 'e_2', 'e_3' ),
% 0.42/1.06 product( 'e_2', 'e_2', 'e_2' ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.42/1.06 , 0, 1, substitution( 0, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 280, [ product( 'e_2', 'e_3', 'e_1' ), equalish( 'e_2', 'e_3' ),
% 0.42/1.06 product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.42/1.06 , clause( 532, [ equalish( 'e_2', 'e_3' ), product( 'e_2', 'e_2', 'e_2' ),
% 0.42/1.06 product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2
% 0.42/1.06 , 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 533, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_2', 'e_2'
% 0.42/1.06 ) ] )
% 0.42/1.06 , clause( 12, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.42/1.06 , 0, clause( 280, [ product( 'e_2', 'e_3', 'e_1' ), equalish( 'e_2', 'e_3'
% 0.42/1.06 ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.42/1.06 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 286, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_2', 'e_2'
% 0.42/1.06 ) ] )
% 0.42/1.06 , clause( 533, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_2',
% 0.42/1.06 'e_2' ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.42/1.06 ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 537, [ equalish( X, 'e_2' ), ~( product( 'e_2', X, 'e_2' ) ),
% 0.42/1.06 product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.42/1.06 , clause( 17, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.42/1.06 , Z ) ) ] )
% 0.42/1.06 , 2, clause( 286, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_2',
% 0.42/1.06 'e_2' ) ] )
% 0.42/1.06 , 1, substitution( 0, [ :=( X, 'e_2' ), :=( Y, X ), :=( Z, 'e_2' ), :=( T,
% 0.42/1.06 'e_2' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 288, [ equalish( X, 'e_2' ), product( 'e_2', 'e_3', 'e_1' ), ~(
% 0.42/1.06 product( 'e_2', X, 'e_2' ) ) ] )
% 0.42/1.06 , clause( 537, [ equalish( X, 'e_2' ), ~( product( 'e_2', X, 'e_2' ) ),
% 0.42/1.06 product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.42/1.06 2 ), ==>( 2, 1 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 539, [ equalish( 'e_3', 'e_2' ), product( 'e_2', 'e_3', 'e_1' ),
% 0.42/1.06 product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3', 'e_1' ), product(
% 0.42/1.06 'e_2', 'e_1', 'e_2' ) ] )
% 0.42/1.06 , clause( 288, [ equalish( X, 'e_2' ), product( 'e_2', 'e_3', 'e_1' ), ~(
% 0.42/1.06 product( 'e_2', X, 'e_2' ) ) ] )
% 0.42/1.06 , 2, clause( 107, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3',
% 0.42/1.06 'e_1' ), product( 'e_2', 'e_1', 'e_2' ), product( 'e_2', 'e_3', 'e_2' ) ]
% 0.42/1.06 )
% 0.42/1.06 , 3, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 542, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_1', 'e_1'
% 0.42/1.06 ), product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.42/1.06 , clause( 14, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.42/1.06 , 0, clause( 539, [ equalish( 'e_3', 'e_2' ), product( 'e_2', 'e_3', 'e_1'
% 0.42/1.06 ), product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3', 'e_1' ),
% 0.42/1.06 product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.42/1.06 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 factor(
% 0.42/1.06 clause( 543, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_1', 'e_1'
% 0.42/1.06 ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.42/1.06 , clause( 542, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_1',
% 0.42/1.06 'e_1' ), product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_1', 'e_2' ) ]
% 0.42/1.06 )
% 0.42/1.06 , 0, 2, substitution( 0, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 291, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.42/1.06 ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.42/1.06 , clause( 543, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_1',
% 0.42/1.06 'e_1' ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.42/1.06 , 2 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 544, [ equalish( 'e_1', 'e_2' ), product( 'e_2', 'e_3', 'e_1' ),
% 0.42/1.06 product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.42/1.06 , clause( 288, [ equalish( X, 'e_2' ), product( 'e_2', 'e_3', 'e_1' ), ~(
% 0.42/1.06 product( 'e_2', X, 'e_2' ) ) ] )
% 0.42/1.06 , 2, clause( 291, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3',
% 0.42/1.06 'e_1' ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.42/1.06 , 2, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 546, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_1', 'e_1'
% 0.42/1.06 ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.42/1.06 , clause( 9, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.42/1.06 , 0, clause( 544, [ equalish( 'e_1', 'e_2' ), product( 'e_2', 'e_3', 'e_1'
% 0.42/1.06 ), product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.42/1.06 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 factor(
% 0.42/1.06 clause( 547, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_1', 'e_1'
% 0.42/1.06 ) ] )
% 0.42/1.06 , clause( 546, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_1',
% 0.42/1.06 'e_1' ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.42/1.06 , 0, 2, substitution( 0, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 298, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.42/1.06 ) ] )
% 0.42/1.06 , clause( 547, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_1',
% 0.42/1.06 'e_1' ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.42/1.06 ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 548, [ product( 'e_1', 'e_1', 'e_3' ), product( 'e_2', 'e_1', 'e_1'
% 0.42/1.06 ) ] )
% 0.42/1.06 , clause( 268, [ product( X, 'e_1', 'e_3' ), ~( product( 'e_2', 'e_3', X )
% 0.42/1.06 ) ] )
% 0.42/1.06 , 1, clause( 298, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3',
% 0.42/1.06 'e_1' ) ] )
% 0.42/1.06 , 1, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 549, [ product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.42/1.06 , clause( 30, [ ~( product( 'e_1', 'e_1', 'e_3' ) ) ] )
% 0.42/1.06 , 0, clause( 548, [ product( 'e_1', 'e_1', 'e_3' ), product( 'e_2', 'e_1',
% 0.42/1.06 'e_1' ) ] )
% 0.42/1.06 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 299, [ product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.42/1.06 , clause( 549, [ product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 550, [ equalish( 'e_2', 'e_1' ) ] )
% 0.42/1.06 , clause( 144, [ equalish( X, 'e_1' ), ~( product( X, 'e_1', 'e_1' ) ) ] )
% 0.42/1.06 , 1, clause( 299, [ product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 551, [] )
% 0.42/1.06 , clause( 11, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.42/1.06 , 0, clause( 550, [ equalish( 'e_2', 'e_1' ) ] )
% 0.42/1.06 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 300, [] )
% 0.42/1.06 , clause( 551, [] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 end.
% 0.42/1.06
% 0.42/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.06
% 0.42/1.06 Memory use:
% 0.42/1.06
% 0.42/1.06 space for terms: 4730
% 0.42/1.06 space for clauses: 13673
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 clauses generated: 896
% 0.42/1.06 clauses kept: 301
% 0.42/1.06 clauses selected: 171
% 0.42/1.06 clauses deleted: 21
% 0.42/1.06 clauses inuse deleted: 0
% 0.42/1.06
% 0.42/1.06 subsentry: 3326
% 0.42/1.06 literals s-matched: 1878
% 0.42/1.06 literals matched: 1318
% 0.42/1.06 full subsumption: 204
% 0.42/1.06
% 0.42/1.06 checksum: -1234681219
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Bliksem ended
%------------------------------------------------------------------------------