TSTP Solution File: GRP134-1.003 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP134-1.003 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n024.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 07:35:29 EDT 2022
% Result : Unsatisfiable 0.69s 1.12s
% Output : Refutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GRP134-1.003 : TPTP v8.1.0. Released v1.2.0.
% 0.11/0.14 % Command : bliksem %s
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Mon Jun 13 06:39:03 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.69/1.11 *** allocated 10000 integers for termspace/termends
% 0.69/1.11 *** allocated 10000 integers for clauses
% 0.69/1.11 *** allocated 10000 integers for justifications
% 0.69/1.11 Bliksem 1.12
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 Automatic Strategy Selection
% 0.69/1.11
% 0.69/1.11 Clauses:
% 0.69/1.11 [
% 0.69/1.11 [ 'group_element'( 'e_1' ) ],
% 0.69/1.11 [ 'group_element'( 'e_2' ) ],
% 0.69/1.11 [ 'group_element'( 'e_3' ) ],
% 0.69/1.11 [ ~( equalish( 'e_1', 'e_2' ) ) ],
% 0.69/1.11 [ ~( equalish( 'e_1', 'e_3' ) ) ],
% 0.69/1.11 [ ~( equalish( 'e_2', 'e_1' ) ) ],
% 0.69/1.11 [ ~( equalish( 'e_2', 'e_3' ) ) ],
% 0.69/1.11 [ ~( equalish( 'e_3', 'e_1' ) ) ],
% 0.69/1.11 [ ~( equalish( 'e_3', 'e_2' ) ) ],
% 0.69/1.11 [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ), product( X, Y,
% 0.69/1.11 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ) ],
% 0.69/1.11 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish( Z, T ) ]
% 0.69/1.11 ,
% 0.69/1.11 [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish( Y, T ) ]
% 0.69/1.11 ,
% 0.69/1.11 [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish( X, T ) ]
% 0.69/1.11 ,
% 0.69/1.11 [ ~( product( X, Y, Z ) ), ~( product( Y, X, T ) ), product( Z, T, Y ) ]
% 0.69/1.11
% 0.69/1.11 ] .
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 percentage equality = 0.000000, percentage horn = 0.928571
% 0.69/1.12 This is a near-Horn, non-equality problem
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 Options Used:
% 0.69/1.12
% 0.69/1.12 useres = 1
% 0.69/1.12 useparamod = 0
% 0.69/1.12 useeqrefl = 0
% 0.69/1.12 useeqfact = 0
% 0.69/1.12 usefactor = 1
% 0.69/1.12 usesimpsplitting = 0
% 0.69/1.12 usesimpdemod = 0
% 0.69/1.12 usesimpres = 4
% 0.69/1.12
% 0.69/1.12 resimpinuse = 1000
% 0.69/1.12 resimpclauses = 20000
% 0.69/1.12 substype = standard
% 0.69/1.12 backwardsubs = 1
% 0.69/1.12 selectoldest = 5
% 0.69/1.12
% 0.69/1.12 litorderings [0] = split
% 0.69/1.12 litorderings [1] = liftord
% 0.69/1.12
% 0.69/1.12 termordering = none
% 0.69/1.12
% 0.69/1.12 litapriori = 1
% 0.69/1.12 termapriori = 0
% 0.69/1.12 litaposteriori = 0
% 0.69/1.12 termaposteriori = 0
% 0.69/1.12 demodaposteriori = 0
% 0.69/1.12 ordereqreflfact = 0
% 0.69/1.12
% 0.69/1.12 litselect = negative
% 0.69/1.12
% 0.69/1.12 maxweight = 30000
% 0.69/1.12 maxdepth = 30000
% 0.69/1.12 maxlength = 115
% 0.69/1.12 maxnrvars = 195
% 0.69/1.12 excuselevel = 0
% 0.69/1.12 increasemaxweight = 0
% 0.69/1.12
% 0.69/1.12 maxselected = 10000000
% 0.69/1.12 maxnrclauses = 10000000
% 0.69/1.12
% 0.69/1.12 showgenerated = 0
% 0.69/1.12 showkept = 0
% 0.69/1.12 showselected = 0
% 0.69/1.12 showdeleted = 0
% 0.69/1.12 showresimp = 1
% 0.69/1.12 showstatus = 2000
% 0.69/1.12
% 0.69/1.12 prologoutput = 1
% 0.69/1.12 nrgoals = 5000000
% 0.69/1.12 totalproof = 1
% 0.69/1.12
% 0.69/1.12 Symbols occurring in the translation:
% 0.69/1.12
% 0.69/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.69/1.12 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 0.69/1.12 ! [4, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.69/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.12 'e_1' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.69/1.12 'group_element' [40, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.69/1.12 'e_2' [41, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.69/1.12 'e_3' [42, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.69/1.12 equalish [43, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.69/1.12 product [46, 3] (w:1, o:50, a:1, s:1, b:0).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 Starting Search:
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 Bliksems!, er is een bewijs:
% 0.69/1.12 % SZS status Unsatisfiable
% 0.69/1.12 % SZS output start Refutation
% 0.69/1.12
% 0.69/1.12 clause( 0, [ 'group_element'( 'e_1' ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 1, [ 'group_element'( 'e_2' ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 2, [ 'group_element'( 'e_3' ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 3, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 4, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 5, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 6, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 7, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 8, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 9, [ ~( 'group_element'( X ) ), product( X, Y, 'e_3' ), product( X
% 0.69/1.12 , Y, 'e_1' ), product( X, Y, 'e_2' ), ~( 'group_element'( Y ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 10, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y,
% 0.69/1.12 T ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 11, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T,
% 0.69/1.12 Z ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 12, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y,
% 0.69/1.12 Z ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 13, [ ~( product( X, Y, Z ) ), product( Z, T, Y ), ~( product( Y, X
% 0.69/1.12 , T ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 14, [ product( X, X, 'e_3' ), product( X, X, 'e_1' ), product( X, X
% 0.69/1.12 , 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 18, [ product( Y, Y, X ), ~( product( X, X, Y ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 19, [ product( X, 'e_1', 'e_3' ), product( X, 'e_1', 'e_1' ),
% 0.69/1.12 product( X, 'e_1', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 20, [ product( X, 'e_2', 'e_3' ), product( X, 'e_2', 'e_1' ),
% 0.69/1.12 product( X, 'e_2', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 21, [ product( X, 'e_3', 'e_3' ), product( X, 'e_3', 'e_1' ),
% 0.69/1.12 product( X, 'e_3', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 22, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1', 'e_2'
% 0.69/1.12 ), product( 'e_1', 'e_1', 'e_3' ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 24, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.69/1.12 ), product( 'e_3', 'e_1', 'e_3' ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 29, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_3', 'e_3', 'e_1'
% 0.69/1.12 ), product( 'e_1', 'e_1', 'e_2' ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 32, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2'
% 0.69/1.12 ), product( 'e_2', 'e_2', 'e_3' ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 33, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_2'
% 0.69/1.12 ), product( 'e_3', 'e_3', 'e_3' ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 46, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_2'
% 0.69/1.12 ), product( 'e_3', 'e_2', 'e_3' ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 58, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2'
% 0.69/1.12 ), product( 'e_1', 'e_3', 'e_3' ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 59, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2'
% 0.69/1.12 ), product( 'e_2', 'e_3', 'e_3' ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 65, [ product( 'e_1', 'e_3', 'e_1' ), product( X, 'e_3', 'e_1' ),
% 0.69/1.12 product( 'e_1', 'e_3', 'e_2' ), ~( product( 'e_3', 'e_1', X ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 66, [ product( 'e_1', 'e_3', 'e_1' ), equalish( X, 'e_3' ), product(
% 0.69/1.12 'e_1', 'e_3', 'e_2' ), ~( product( 'e_1', X, 'e_3' ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 68, [ product( 'e_1', 'e_3', 'e_1' ), equalish( X, 'e_1' ), product(
% 0.69/1.12 'e_1', 'e_3', 'e_2' ), ~( product( X, 'e_3', 'e_3' ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 76, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2'
% 0.69/1.12 ), product( X, 'e_3', 'e_2' ), ~( product( 'e_3', 'e_2', X ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 79, [ product( 'e_2', 'e_3', 'e_1' ), equalish( X, 'e_2' ), product(
% 0.69/1.12 'e_2', 'e_3', 'e_2' ), ~( product( X, 'e_3', 'e_3' ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 81, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_2'
% 0.69/1.12 ), product( X, 'e_3', 'e_3' ), ~( product( 'e_2', 'e_3', X ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 89, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2'
% 0.69/1.12 ), product( 'e_3', 'e_3', 'e_2' ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 90, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.69/1.12 ), product( X, 'e_3', 'e_3' ), ~( product( 'e_1', 'e_3', X ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 93, [ product( 'e_3', 'e_1', 'e_1' ), equalish( X, 'e_3' ), product(
% 0.69/1.12 'e_3', 'e_1', 'e_2' ), ~( product( X, 'e_1', 'e_3' ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 95, [ product( 'e_2', 'e_2', 'e_1' ), equalish( X, 'e_3' ), product(
% 0.69/1.12 'e_2', 'e_2', 'e_2' ), ~( product( 'e_3', X, 'e_2' ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 97, [ product( 'e_2', 'e_2', 'e_1' ), equalish( X, 'e_3' ), product(
% 0.69/1.12 'e_2', 'e_2', 'e_2' ), ~( product( X, 'e_3', 'e_2' ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 99, [ product( 'e_3', 'e_3', 'e_1' ), equalish( X, 'e_3' ), product(
% 0.69/1.12 'e_3', 'e_3', 'e_2' ), ~( product( 'e_3', X, 'e_3' ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 101, [ product( 'e_3', 'e_3', 'e_1' ), equalish( X, 'e_3' ),
% 0.69/1.12 product( 'e_3', 'e_3', 'e_2' ), ~( product( X, 'e_3', 'e_3' ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 106, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.12 ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 108, [ product( 'e_1', 'e_1', 'e_1' ), equalish( X, 'e_3' ),
% 0.69/1.12 product( 'e_2', 'e_2', 'e_1' ), ~( product( 'e_3', X, 'e_1' ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 110, [ product( 'e_1', 'e_1', 'e_1' ), equalish( X, 'e_3' ),
% 0.69/1.12 product( 'e_2', 'e_2', 'e_1' ), ~( product( X, 'e_3', 'e_1' ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 111, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.12 ), product( 'e_1', 'e_1', 'e_3' ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 131, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_1'
% 0.69/1.12 ), product( 'e_3', 'e_1', 'e_2' ), product( 'e_3', 'e_3', 'e_2' ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 132, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_2', 'e_1'
% 0.69/1.12 ), product( 'e_3', 'e_2', 'e_2' ), product( 'e_3', 'e_3', 'e_2' ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 134, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.69/1.12 ), product( 'e_1', 'e_3', 'e_2' ), product( 'e_3', 'e_3', 'e_2' ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 138, [ equalish( 'e_1', 'e_3' ), product( 'e_1', 'e_1', 'e_1' ),
% 0.69/1.12 product( 'e_2', 'e_2', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 140, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.12 ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 149, [ equalish( 'e_1', 'e_3' ), product( 'e_1', 'e_1', 'e_1' ),
% 0.69/1.12 product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 150, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.12 ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 151, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.12 ), product( X, 'e_2', 'e_1' ), ~( product( 'e_3', 'e_1', X ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 155, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.12 ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 160, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1', 'e_2'
% 0.69/1.12 ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 162, [ equalish( X, 'e_1' ), product( 'e_1', 'e_1', 'e_1' ), ~(
% 0.69/1.12 product( 'e_1', X, 'e_2' ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 164, [ equalish( X, 'e_1' ), product( 'e_1', 'e_1', 'e_1' ), ~(
% 0.69/1.12 product( X, 'e_1', 'e_2' ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 192, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.69/1.12 ), product( 'e_2', 'e_3', 'e_2' ), product( 'e_3', 'e_3', 'e_3' ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 193, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.69/1.12 ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 194, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.69/1.12 ), product( 'e_3', 'e_2', 'e_2' ), product( 'e_2', 'e_3', 'e_3' ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 198, [ product( 'e_3', 'e_2', 'e_1' ), equalish( X, 'e_2' ),
% 0.69/1.12 product( 'e_2', 'e_3', 'e_1' ), ~( product( 'e_2', 'e_3', X ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 199, [ product( 'e_3', 'e_2', 'e_1' ), equalish( X, 'e_2' ),
% 0.69/1.12 product( 'e_2', 'e_3', 'e_1' ), ~( product( X, 'e_3', 'e_2' ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 205, [ product( 'e_3', 'e_1', 'e_2' ), product( 'e_1', 'e_3', 'e_1'
% 0.69/1.12 ), product( 'e_1', 'e_3', 'e_2' ), product( 'e_3', 'e_3', 'e_3' ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 206, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.69/1.12 ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 207, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_2', 'e_1'
% 0.69/1.12 ), product( 'e_2', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 208, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_1'
% 0.69/1.12 ), product( 'e_3', 'e_1', 'e_2' ), product( 'e_2', 'e_3', 'e_3' ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 209, [ equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_1', 'e_1' ),
% 0.69/1.12 product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 210, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.12 product( 'e_1', 'e_3', 'e_1' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 214, [ product( 'e_1', 'e_3', 'e_1' ), equalish( X, 'e_1' ),
% 0.69/1.12 product( 'e_3', 'e_1', 'e_2' ), ~( product( X, 'e_3', 'e_2' ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 215, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.69/1.12 ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 217, [ product( 'e_1', 'e_1', 'e_1' ), product( X, 'e_1', 'e_1' ),
% 0.69/1.12 ~( product( 'e_3', 'e_1', X ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 222, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.69/1.12 ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 224, [ product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 226, [ equalish( X, 'e_1' ), ~( product( 'e_1', X, 'e_1' ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 228, [ equalish( X, 'e_1' ), ~( product( X, 'e_1', 'e_1' ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 229, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.69/1.12 ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 232, [ product( 'e_2', 'e_2', 'e_1' ), equalish( X, 'e_2' ),
% 0.69/1.12 product( 'e_1', 'e_3', 'e_1' ), ~( product( 'e_2', 'e_2', X ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 249, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.69/1.12 ), product( 'e_2', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 254, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.69/1.12 ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 258, [ product( 'e_3', 'e_2', 'e_1' ), equalish( X, 'e_1' ),
% 0.69/1.12 product( 'e_1', 'e_3', 'e_1' ), ~( product( 'e_2', 'e_3', X ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 277, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_2', 'e_1'
% 0.69/1.12 ), equalish( 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 282, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.69/1.12 ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 284, [ equalish( X, 'e_1' ), product( 'e_3', 'e_2', 'e_1' ), ~(
% 0.69/1.12 product( 'e_3', X, 'e_2' ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 298, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.69/1.12 ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 299, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.69/1.12 ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 304, [ equalish( X, 'e_2' ), product( 'e_3', 'e_2', 'e_1' ), ~(
% 0.69/1.12 product( X, 'e_3', 'e_1' ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 331, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.69/1.12 ), equalish( 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 337, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.69/1.12 ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 340, [ product( 'e_3', 'e_3', 'e_1' ), product( X, 'e_2', 'e_3' ),
% 0.69/1.12 ~( product( 'e_1', 'e_3', X ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 341, [ equalish( X, 'e_1' ), product( 'e_3', 'e_3', 'e_1' ), ~(
% 0.69/1.12 product( 'e_3', X, 'e_2' ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 344, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_3', 'e_1'
% 0.69/1.12 ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 345, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_3', 'e_1'
% 0.69/1.12 ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 348, [ product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 351, [ equalish( X, 'e_2' ), ~( product( 'e_3', X, 'e_1' ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 353, [ equalish( X, 'e_3' ), ~( product( X, 'e_2', 'e_1' ) ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 362, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_1'
% 0.69/1.12 ), product( 'e_2', 'e_2', 'e_3' ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 372, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_3', 'e_2' ),
% 0.69/1.12 product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 380, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.69/1.12 ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 387, [ product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.12 .
% 0.69/1.12 clause( 388, [] )
% 0.69/1.12 .
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 % SZS output end Refutation
% 0.69/1.12 found a proof!
% 0.69/1.12
% 0.69/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.12
% 0.69/1.12 initialclauses(
% 0.69/1.12 [ clause( 390, [ 'group_element'( 'e_1' ) ] )
% 0.69/1.12 , clause( 391, [ 'group_element'( 'e_2' ) ] )
% 0.69/1.12 , clause( 392, [ 'group_element'( 'e_3' ) ] )
% 0.69/1.12 , clause( 393, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.69/1.12 , clause( 394, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.69/1.12 , clause( 395, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.69/1.12 , clause( 396, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.69/1.12 , clause( 397, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.69/1.12 , clause( 398, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.69/1.12 , clause( 399, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.69/1.12 product( X, Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ) ]
% 0.69/1.12 )
% 0.69/1.12 , clause( 400, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish(
% 0.69/1.12 Z, T ) ] )
% 0.69/1.12 , clause( 401, [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish(
% 0.69/1.12 Y, T ) ] )
% 0.69/1.12 , clause( 402, [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish(
% 0.69/1.12 X, T ) ] )
% 0.69/1.12 , clause( 403, [ ~( product( X, Y, Z ) ), ~( product( Y, X, T ) ), product(
% 0.69/1.12 Z, T, Y ) ] )
% 0.69/1.12 ] ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 0, [ 'group_element'( 'e_1' ) ] )
% 0.69/1.12 , clause( 390, [ 'group_element'( 'e_1' ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 1, [ 'group_element'( 'e_2' ) ] )
% 0.69/1.12 , clause( 391, [ 'group_element'( 'e_2' ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 2, [ 'group_element'( 'e_3' ) ] )
% 0.69/1.12 , clause( 392, [ 'group_element'( 'e_3' ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 3, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.69/1.12 , clause( 393, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 4, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.69/1.12 , clause( 394, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 5, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.69/1.12 , clause( 395, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 6, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.69/1.12 , clause( 396, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 7, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.69/1.12 , clause( 397, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 8, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.69/1.12 , clause( 398, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 9, [ ~( 'group_element'( X ) ), product( X, Y, 'e_3' ), product( X
% 0.69/1.12 , Y, 'e_1' ), product( X, Y, 'e_2' ), ~( 'group_element'( Y ) ) ] )
% 0.69/1.12 , clause( 399, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.69/1.12 product( X, Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ) ]
% 0.69/1.12 )
% 0.69/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.12 ), ==>( 1, 4 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 1 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 10, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y,
% 0.69/1.12 T ) ) ] )
% 0.69/1.12 , clause( 400, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish(
% 0.69/1.12 Z, T ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.69/1.12 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 11, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T,
% 0.69/1.12 Z ) ) ] )
% 0.69/1.12 , clause( 401, [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish(
% 0.69/1.12 Y, T ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.69/1.12 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 12, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y,
% 0.69/1.12 Z ) ) ] )
% 0.69/1.12 , clause( 402, [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish(
% 0.69/1.12 X, T ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.69/1.12 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 13, [ ~( product( X, Y, Z ) ), product( Z, T, Y ), ~( product( Y, X
% 0.69/1.12 , T ) ) ] )
% 0.69/1.12 , clause( 403, [ ~( product( X, Y, Z ) ), ~( product( Y, X, T ) ), product(
% 0.69/1.12 Z, T, Y ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.69/1.12 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 419, [ ~( 'group_element'( X ) ), product( X, X, 'e_3' ), product(
% 0.69/1.12 X, X, 'e_1' ), product( X, X, 'e_2' ) ] )
% 0.69/1.12 , clause( 9, [ ~( 'group_element'( X ) ), product( X, Y, 'e_3' ), product(
% 0.69/1.12 X, Y, 'e_1' ), product( X, Y, 'e_2' ), ~( 'group_element'( Y ) ) ] )
% 0.69/1.12 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, X )] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 14, [ product( X, X, 'e_3' ), product( X, X, 'e_1' ), product( X, X
% 0.69/1.12 , 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.69/1.12 , clause( 419, [ ~( 'group_element'( X ) ), product( X, X, 'e_3' ), product(
% 0.69/1.12 X, X, 'e_1' ), product( X, X, 'e_2' ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 0.69/1.12 0 ), ==>( 2, 1 ), ==>( 3, 2 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 420, [ ~( product( X, X, Y ) ), product( Y, Y, X ) ] )
% 0.69/1.12 , clause( 13, [ ~( product( X, Y, Z ) ), product( Z, T, Y ), ~( product( Y
% 0.69/1.12 , X, T ) ) ] )
% 0.69/1.12 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, Y ), :=( T, Y )] )
% 0.69/1.12 ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 18, [ product( Y, Y, X ), ~( product( X, X, Y ) ) ] )
% 0.69/1.12 , clause( 420, [ ~( product( X, X, Y ) ), product( Y, Y, X ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.69/1.12 ), ==>( 1, 0 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 422, [ ~( 'group_element'( X ) ), product( X, 'e_1', 'e_3' ),
% 0.69/1.12 product( X, 'e_1', 'e_1' ), product( X, 'e_1', 'e_2' ) ] )
% 0.69/1.12 , clause( 9, [ ~( 'group_element'( X ) ), product( X, Y, 'e_3' ), product(
% 0.69/1.12 X, Y, 'e_1' ), product( X, Y, 'e_2' ), ~( 'group_element'( Y ) ) ] )
% 0.69/1.12 , 4, clause( 0, [ 'group_element'( 'e_1' ) ] )
% 0.69/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_1' )] ), substitution( 1, [] )
% 0.69/1.12 ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 19, [ product( X, 'e_1', 'e_3' ), product( X, 'e_1', 'e_1' ),
% 0.69/1.12 product( X, 'e_1', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.69/1.12 , clause( 422, [ ~( 'group_element'( X ) ), product( X, 'e_1', 'e_3' ),
% 0.69/1.12 product( X, 'e_1', 'e_1' ), product( X, 'e_1', 'e_2' ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 0.69/1.12 0 ), ==>( 2, 1 ), ==>( 3, 2 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 424, [ ~( 'group_element'( X ) ), product( X, 'e_2', 'e_3' ),
% 0.69/1.12 product( X, 'e_2', 'e_1' ), product( X, 'e_2', 'e_2' ) ] )
% 0.69/1.12 , clause( 9, [ ~( 'group_element'( X ) ), product( X, Y, 'e_3' ), product(
% 0.69/1.12 X, Y, 'e_1' ), product( X, Y, 'e_2' ), ~( 'group_element'( Y ) ) ] )
% 0.69/1.12 , 4, clause( 1, [ 'group_element'( 'e_2' ) ] )
% 0.69/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_2' )] ), substitution( 1, [] )
% 0.69/1.12 ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 20, [ product( X, 'e_2', 'e_3' ), product( X, 'e_2', 'e_1' ),
% 0.69/1.12 product( X, 'e_2', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.69/1.12 , clause( 424, [ ~( 'group_element'( X ) ), product( X, 'e_2', 'e_3' ),
% 0.69/1.12 product( X, 'e_2', 'e_1' ), product( X, 'e_2', 'e_2' ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 0.69/1.12 0 ), ==>( 2, 1 ), ==>( 3, 2 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 426, [ ~( 'group_element'( X ) ), product( X, 'e_3', 'e_3' ),
% 0.69/1.12 product( X, 'e_3', 'e_1' ), product( X, 'e_3', 'e_2' ) ] )
% 0.69/1.12 , clause( 9, [ ~( 'group_element'( X ) ), product( X, Y, 'e_3' ), product(
% 0.69/1.12 X, Y, 'e_1' ), product( X, Y, 'e_2' ), ~( 'group_element'( Y ) ) ] )
% 0.69/1.12 , 4, clause( 2, [ 'group_element'( 'e_3' ) ] )
% 0.69/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_3' )] ), substitution( 1, [] )
% 0.69/1.12 ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 21, [ product( X, 'e_3', 'e_3' ), product( X, 'e_3', 'e_1' ),
% 0.69/1.12 product( X, 'e_3', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.69/1.12 , clause( 426, [ ~( 'group_element'( X ) ), product( X, 'e_3', 'e_3' ),
% 0.69/1.12 product( X, 'e_3', 'e_1' ), product( X, 'e_3', 'e_2' ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 0.69/1.12 0 ), ==>( 2, 1 ), ==>( 3, 2 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 427, [ product( 'e_1', 'e_1', 'e_3' ), product( 'e_1', 'e_1', 'e_1'
% 0.69/1.12 ), product( 'e_1', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , clause( 19, [ product( X, 'e_1', 'e_3' ), product( X, 'e_1', 'e_1' ),
% 0.69/1.12 product( X, 'e_1', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.69/1.12 , 3, clause( 0, [ 'group_element'( 'e_1' ) ] )
% 0.69/1.12 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 22, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1', 'e_2'
% 0.69/1.12 ), product( 'e_1', 'e_1', 'e_3' ) ] )
% 0.69/1.12 , clause( 427, [ product( 'e_1', 'e_1', 'e_3' ), product( 'e_1', 'e_1',
% 0.69/1.12 'e_1' ), product( 'e_1', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.69/1.12 , 1 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 428, [ product( 'e_3', 'e_1', 'e_3' ), product( 'e_3', 'e_1', 'e_1'
% 0.69/1.12 ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , clause( 19, [ product( X, 'e_1', 'e_3' ), product( X, 'e_1', 'e_1' ),
% 0.69/1.12 product( X, 'e_1', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.69/1.12 , 3, clause( 2, [ 'group_element'( 'e_3' ) ] )
% 0.69/1.12 , 0, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 24, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.69/1.12 ), product( 'e_3', 'e_1', 'e_3' ) ] )
% 0.69/1.12 , clause( 428, [ product( 'e_3', 'e_1', 'e_3' ), product( 'e_3', 'e_1',
% 0.69/1.12 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.69/1.12 , 1 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 431, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_1', 'e_1', 'e_1'
% 0.69/1.12 ), product( 'e_1', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , clause( 18, [ product( Y, Y, X ), ~( product( X, X, Y ) ) ] )
% 0.69/1.12 , 1, clause( 22, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1',
% 0.69/1.12 'e_2' ), product( 'e_1', 'e_1', 'e_3' ) ] )
% 0.69/1.12 , 2, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_3' )] ), substitution( 1
% 0.69/1.12 , [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 29, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_3', 'e_3', 'e_1'
% 0.69/1.12 ), product( 'e_1', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , clause( 431, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_1', 'e_1',
% 0.69/1.12 'e_1' ), product( 'e_1', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.69/1.12 , 2 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 432, [ product( 'e_2', 'e_2', 'e_3' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.12 ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.69/1.12 , clause( 14, [ product( X, X, 'e_3' ), product( X, X, 'e_1' ), product( X
% 0.69/1.12 , X, 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.69/1.12 , 3, clause( 1, [ 'group_element'( 'e_2' ) ] )
% 0.69/1.12 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 32, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2'
% 0.69/1.12 ), product( 'e_2', 'e_2', 'e_3' ) ] )
% 0.69/1.12 , clause( 432, [ product( 'e_2', 'e_2', 'e_3' ), product( 'e_2', 'e_2',
% 0.69/1.12 'e_1' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.69/1.12 , 1 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 433, [ product( 'e_3', 'e_3', 'e_3' ), product( 'e_3', 'e_3', 'e_1'
% 0.69/1.12 ), product( 'e_3', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , clause( 14, [ product( X, X, 'e_3' ), product( X, X, 'e_1' ), product( X
% 0.69/1.12 , X, 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.69/1.12 , 3, clause( 2, [ 'group_element'( 'e_3' ) ] )
% 0.69/1.12 , 0, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 33, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_2'
% 0.69/1.12 ), product( 'e_3', 'e_3', 'e_3' ) ] )
% 0.69/1.12 , clause( 433, [ product( 'e_3', 'e_3', 'e_3' ), product( 'e_3', 'e_3',
% 0.69/1.12 'e_1' ), product( 'e_3', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.69/1.12 , 1 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 434, [ product( 'e_3', 'e_2', 'e_3' ), product( 'e_3', 'e_2', 'e_1'
% 0.69/1.12 ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.69/1.12 , clause( 20, [ product( X, 'e_2', 'e_3' ), product( X, 'e_2', 'e_1' ),
% 0.69/1.12 product( X, 'e_2', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.69/1.12 , 3, clause( 2, [ 'group_element'( 'e_3' ) ] )
% 0.69/1.12 , 0, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 46, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_2'
% 0.69/1.12 ), product( 'e_3', 'e_2', 'e_3' ) ] )
% 0.69/1.12 , clause( 434, [ product( 'e_3', 'e_2', 'e_3' ), product( 'e_3', 'e_2',
% 0.69/1.12 'e_1' ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.69/1.12 , 1 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 435, [ product( 'e_1', 'e_3', 'e_3' ), product( 'e_1', 'e_3', 'e_1'
% 0.69/1.12 ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , clause( 21, [ product( X, 'e_3', 'e_3' ), product( X, 'e_3', 'e_1' ),
% 0.69/1.12 product( X, 'e_3', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.69/1.12 , 3, clause( 0, [ 'group_element'( 'e_1' ) ] )
% 0.69/1.12 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 58, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2'
% 0.69/1.12 ), product( 'e_1', 'e_3', 'e_3' ) ] )
% 0.69/1.12 , clause( 435, [ product( 'e_1', 'e_3', 'e_3' ), product( 'e_1', 'e_3',
% 0.69/1.12 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.69/1.12 , 1 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 436, [ product( 'e_2', 'e_3', 'e_3' ), product( 'e_2', 'e_3', 'e_1'
% 0.69/1.12 ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , clause( 21, [ product( X, 'e_3', 'e_3' ), product( X, 'e_3', 'e_1' ),
% 0.69/1.12 product( X, 'e_3', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.69/1.12 , 3, clause( 1, [ 'group_element'( 'e_2' ) ] )
% 0.69/1.12 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 59, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2'
% 0.69/1.12 ), product( 'e_2', 'e_3', 'e_3' ) ] )
% 0.69/1.12 , clause( 436, [ product( 'e_2', 'e_3', 'e_3' ), product( 'e_2', 'e_3',
% 0.69/1.12 'e_1' ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.69/1.12 , 1 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 442, [ ~( product( 'e_3', 'e_1', X ) ), product( X, 'e_3', 'e_1' )
% 0.69/1.12 , product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , clause( 13, [ ~( product( X, Y, Z ) ), product( Z, T, Y ), ~( product( Y
% 0.69/1.12 , X, T ) ) ] )
% 0.69/1.12 , 2, clause( 58, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3',
% 0.69/1.12 'e_2' ), product( 'e_1', 'e_3', 'e_3' ) ] )
% 0.69/1.12 , 2, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_1' ), :=( Z, X ), :=( T,
% 0.69/1.12 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 65, [ product( 'e_1', 'e_3', 'e_1' ), product( X, 'e_3', 'e_1' ),
% 0.69/1.12 product( 'e_1', 'e_3', 'e_2' ), ~( product( 'e_3', 'e_1', X ) ) ] )
% 0.69/1.12 , clause( 442, [ ~( product( 'e_3', 'e_1', X ) ), product( X, 'e_3', 'e_1'
% 0.69/1.12 ), product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 0.69/1.12 1 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 450, [ equalish( X, 'e_3' ), ~( product( 'e_1', X, 'e_3' ) ),
% 0.69/1.12 product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , clause( 11, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.69/1.12 , Z ) ) ] )
% 0.69/1.12 , 2, clause( 58, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3',
% 0.69/1.12 'e_2' ), product( 'e_1', 'e_3', 'e_3' ) ] )
% 0.69/1.12 , 2, substitution( 0, [ :=( X, 'e_1' ), :=( Y, X ), :=( Z, 'e_3' ), :=( T,
% 0.69/1.12 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 66, [ product( 'e_1', 'e_3', 'e_1' ), equalish( X, 'e_3' ), product(
% 0.69/1.12 'e_1', 'e_3', 'e_2' ), ~( product( 'e_1', X, 'e_3' ) ) ] )
% 0.69/1.12 , clause( 450, [ equalish( X, 'e_3' ), ~( product( 'e_1', X, 'e_3' ) ),
% 0.69/1.12 product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.69/1.12 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 456, [ equalish( X, 'e_1' ), ~( product( X, 'e_3', 'e_3' ) ),
% 0.69/1.12 product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , clause( 12, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.69/1.12 , Z ) ) ] )
% 0.69/1.12 , 2, clause( 58, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3',
% 0.69/1.12 'e_2' ), product( 'e_1', 'e_3', 'e_3' ) ] )
% 0.69/1.12 , 2, substitution( 0, [ :=( X, X ), :=( Y, 'e_3' ), :=( Z, 'e_3' ), :=( T,
% 0.69/1.12 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 68, [ product( 'e_1', 'e_3', 'e_1' ), equalish( X, 'e_1' ), product(
% 0.69/1.12 'e_1', 'e_3', 'e_2' ), ~( product( X, 'e_3', 'e_3' ) ) ] )
% 0.69/1.12 , clause( 456, [ equalish( X, 'e_1' ), ~( product( X, 'e_3', 'e_3' ) ),
% 0.69/1.12 product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.69/1.12 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 462, [ ~( product( 'e_3', 'e_2', X ) ), product( X, 'e_3', 'e_2' )
% 0.69/1.12 , product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , clause( 13, [ ~( product( X, Y, Z ) ), product( Z, T, Y ), ~( product( Y
% 0.69/1.12 , X, T ) ) ] )
% 0.69/1.12 , 2, clause( 59, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3',
% 0.69/1.12 'e_2' ), product( 'e_2', 'e_3', 'e_3' ) ] )
% 0.69/1.12 , 2, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_2' ), :=( Z, X ), :=( T,
% 0.69/1.12 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 76, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2'
% 0.69/1.12 ), product( X, 'e_3', 'e_2' ), ~( product( 'e_3', 'e_2', X ) ) ] )
% 0.69/1.12 , clause( 462, [ ~( product( 'e_3', 'e_2', X ) ), product( X, 'e_3', 'e_2'
% 0.69/1.12 ), product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 0.69/1.12 2 ), ==>( 2, 0 ), ==>( 3, 1 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 470, [ equalish( X, 'e_2' ), ~( product( X, 'e_3', 'e_3' ) ),
% 0.69/1.12 product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , clause( 12, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.69/1.12 , Z ) ) ] )
% 0.69/1.12 , 2, clause( 59, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3',
% 0.69/1.12 'e_2' ), product( 'e_2', 'e_3', 'e_3' ) ] )
% 0.69/1.12 , 2, substitution( 0, [ :=( X, X ), :=( Y, 'e_3' ), :=( Z, 'e_3' ), :=( T,
% 0.69/1.12 'e_2' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 79, [ product( 'e_2', 'e_3', 'e_1' ), equalish( X, 'e_2' ), product(
% 0.69/1.12 'e_2', 'e_3', 'e_2' ), ~( product( X, 'e_3', 'e_3' ) ) ] )
% 0.69/1.12 , clause( 470, [ equalish( X, 'e_2' ), ~( product( X, 'e_3', 'e_3' ) ),
% 0.69/1.12 product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.69/1.12 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 476, [ ~( product( 'e_2', 'e_3', X ) ), product( X, 'e_3', 'e_3' )
% 0.69/1.12 , product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.69/1.12 , clause( 13, [ ~( product( X, Y, Z ) ), product( Z, T, Y ), ~( product( Y
% 0.69/1.12 , X, T ) ) ] )
% 0.69/1.12 , 2, clause( 46, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2',
% 0.69/1.12 'e_2' ), product( 'e_3', 'e_2', 'e_3' ) ] )
% 0.69/1.12 , 2, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_3' ), :=( Z, X ), :=( T,
% 0.69/1.12 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 81, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_2'
% 0.69/1.12 ), product( X, 'e_3', 'e_3' ), ~( product( 'e_2', 'e_3', X ) ) ] )
% 0.69/1.12 , clause( 476, [ ~( product( 'e_2', 'e_3', X ) ), product( X, 'e_3', 'e_3'
% 0.69/1.12 ), product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 0.69/1.12 2 ), ==>( 2, 0 ), ==>( 3, 1 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 481, [ product( 'e_3', 'e_3', 'e_2' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.12 ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.69/1.12 , clause( 18, [ product( Y, Y, X ), ~( product( X, X, Y ) ) ] )
% 0.69/1.12 , 1, clause( 32, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.12 'e_2' ), product( 'e_2', 'e_2', 'e_3' ) ] )
% 0.69/1.12 , 2, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_3' )] ), substitution( 1
% 0.69/1.12 , [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 89, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2'
% 0.69/1.12 ), product( 'e_3', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , clause( 481, [ product( 'e_3', 'e_3', 'e_2' ), product( 'e_2', 'e_2',
% 0.69/1.12 'e_1' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.69/1.12 , 1 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 487, [ ~( product( 'e_1', 'e_3', X ) ), product( X, 'e_3', 'e_3' )
% 0.69/1.12 , product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , clause( 13, [ ~( product( X, Y, Z ) ), product( Z, T, Y ), ~( product( Y
% 0.69/1.12 , X, T ) ) ] )
% 0.69/1.12 , 2, clause( 24, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1',
% 0.69/1.12 'e_2' ), product( 'e_3', 'e_1', 'e_3' ) ] )
% 0.69/1.12 , 2, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_3' ), :=( Z, X ), :=( T,
% 0.69/1.12 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 90, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.69/1.12 ), product( X, 'e_3', 'e_3' ), ~( product( 'e_1', 'e_3', X ) ) ] )
% 0.69/1.12 , clause( 487, [ ~( product( 'e_1', 'e_3', X ) ), product( X, 'e_3', 'e_3'
% 0.69/1.12 ), product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 0.69/1.12 2 ), ==>( 2, 0 ), ==>( 3, 1 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 495, [ equalish( X, 'e_3' ), ~( product( X, 'e_1', 'e_3' ) ),
% 0.69/1.12 product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , clause( 12, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.69/1.12 , Z ) ) ] )
% 0.69/1.12 , 2, clause( 24, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1',
% 0.69/1.12 'e_2' ), product( 'e_3', 'e_1', 'e_3' ) ] )
% 0.69/1.12 , 2, substitution( 0, [ :=( X, X ), :=( Y, 'e_1' ), :=( Z, 'e_3' ), :=( T,
% 0.69/1.12 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 93, [ product( 'e_3', 'e_1', 'e_1' ), equalish( X, 'e_3' ), product(
% 0.69/1.12 'e_3', 'e_1', 'e_2' ), ~( product( X, 'e_1', 'e_3' ) ) ] )
% 0.69/1.12 , clause( 495, [ equalish( X, 'e_3' ), ~( product( X, 'e_1', 'e_3' ) ),
% 0.69/1.12 product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.69/1.12 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 501, [ equalish( X, 'e_3' ), ~( product( 'e_3', X, 'e_2' ) ),
% 0.69/1.12 product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.69/1.12 , clause( 11, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.69/1.12 , Z ) ) ] )
% 0.69/1.12 , 2, clause( 89, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.12 'e_2' ), product( 'e_3', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , 2, substitution( 0, [ :=( X, 'e_3' ), :=( Y, X ), :=( Z, 'e_2' ), :=( T,
% 0.69/1.12 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 95, [ product( 'e_2', 'e_2', 'e_1' ), equalish( X, 'e_3' ), product(
% 0.69/1.12 'e_2', 'e_2', 'e_2' ), ~( product( 'e_3', X, 'e_2' ) ) ] )
% 0.69/1.12 , clause( 501, [ equalish( X, 'e_3' ), ~( product( 'e_3', X, 'e_2' ) ),
% 0.69/1.12 product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.69/1.12 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 507, [ equalish( X, 'e_3' ), ~( product( X, 'e_3', 'e_2' ) ),
% 0.69/1.12 product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.69/1.12 , clause( 12, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.69/1.12 , Z ) ) ] )
% 0.69/1.12 , 2, clause( 89, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.12 'e_2' ), product( 'e_3', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , 2, substitution( 0, [ :=( X, X ), :=( Y, 'e_3' ), :=( Z, 'e_2' ), :=( T,
% 0.69/1.12 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 97, [ product( 'e_2', 'e_2', 'e_1' ), equalish( X, 'e_3' ), product(
% 0.69/1.12 'e_2', 'e_2', 'e_2' ), ~( product( X, 'e_3', 'e_2' ) ) ] )
% 0.69/1.12 , clause( 507, [ equalish( X, 'e_3' ), ~( product( X, 'e_3', 'e_2' ) ),
% 0.69/1.12 product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.69/1.12 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 513, [ equalish( X, 'e_3' ), ~( product( 'e_3', X, 'e_3' ) ),
% 0.69/1.12 product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , clause( 11, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.69/1.12 , Z ) ) ] )
% 0.69/1.12 , 2, clause( 33, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_3',
% 0.69/1.12 'e_2' ), product( 'e_3', 'e_3', 'e_3' ) ] )
% 0.69/1.12 , 2, substitution( 0, [ :=( X, 'e_3' ), :=( Y, X ), :=( Z, 'e_3' ), :=( T,
% 0.69/1.12 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 99, [ product( 'e_3', 'e_3', 'e_1' ), equalish( X, 'e_3' ), product(
% 0.69/1.12 'e_3', 'e_3', 'e_2' ), ~( product( 'e_3', X, 'e_3' ) ) ] )
% 0.69/1.12 , clause( 513, [ equalish( X, 'e_3' ), ~( product( 'e_3', X, 'e_3' ) ),
% 0.69/1.12 product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.69/1.12 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 519, [ equalish( X, 'e_3' ), ~( product( X, 'e_3', 'e_3' ) ),
% 0.69/1.12 product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , clause( 12, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.69/1.12 , Z ) ) ] )
% 0.69/1.12 , 2, clause( 33, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_3',
% 0.69/1.12 'e_2' ), product( 'e_3', 'e_3', 'e_3' ) ] )
% 0.69/1.12 , 2, substitution( 0, [ :=( X, X ), :=( Y, 'e_3' ), :=( Z, 'e_3' ), :=( T,
% 0.69/1.12 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 101, [ product( 'e_3', 'e_3', 'e_1' ), equalish( X, 'e_3' ),
% 0.69/1.12 product( 'e_3', 'e_3', 'e_2' ), ~( product( X, 'e_3', 'e_3' ) ) ] )
% 0.69/1.12 , clause( 519, [ equalish( X, 'e_3' ), ~( product( X, 'e_3', 'e_3' ) ),
% 0.69/1.12 product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.69/1.12 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 522, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_1', 'e_1'
% 0.69/1.12 ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , clause( 18, [ product( Y, Y, X ), ~( product( X, X, Y ) ) ] )
% 0.69/1.12 , 1, clause( 29, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_3', 'e_3',
% 0.69/1.12 'e_1' ), product( 'e_1', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , 2, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_2' )] ), substitution( 1
% 0.69/1.12 , [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 106, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.12 ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , clause( 522, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_1',
% 0.69/1.12 'e_1' ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.69/1.12 , 2 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 528, [ equalish( X, 'e_3' ), ~( product( 'e_3', X, 'e_1' ) ),
% 0.69/1.12 product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.12 , clause( 11, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.69/1.12 , Z ) ) ] )
% 0.69/1.12 , 2, clause( 106, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.12 'e_1' ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , 2, substitution( 0, [ :=( X, 'e_3' ), :=( Y, X ), :=( Z, 'e_1' ), :=( T,
% 0.69/1.12 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 108, [ product( 'e_1', 'e_1', 'e_1' ), equalish( X, 'e_3' ),
% 0.69/1.12 product( 'e_2', 'e_2', 'e_1' ), ~( product( 'e_3', X, 'e_1' ) ) ] )
% 0.69/1.12 , clause( 528, [ equalish( X, 'e_3' ), ~( product( 'e_3', X, 'e_1' ) ),
% 0.69/1.12 product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.69/1.12 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 534, [ equalish( X, 'e_3' ), ~( product( X, 'e_3', 'e_1' ) ),
% 0.69/1.12 product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.12 , clause( 12, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.69/1.12 , Z ) ) ] )
% 0.69/1.12 , 2, clause( 106, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.12 'e_1' ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , 2, substitution( 0, [ :=( X, X ), :=( Y, 'e_3' ), :=( Z, 'e_1' ), :=( T,
% 0.69/1.12 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 110, [ product( 'e_1', 'e_1', 'e_1' ), equalish( X, 'e_3' ),
% 0.69/1.12 product( 'e_2', 'e_2', 'e_1' ), ~( product( X, 'e_3', 'e_1' ) ) ] )
% 0.69/1.12 , clause( 534, [ equalish( X, 'e_3' ), ~( product( X, 'e_3', 'e_1' ) ),
% 0.69/1.12 product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.69/1.12 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 537, [ product( 'e_1', 'e_1', 'e_3' ), product( 'e_1', 'e_1', 'e_1'
% 0.69/1.12 ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.12 , clause( 18, [ product( Y, Y, X ), ~( product( X, X, Y ) ) ] )
% 0.69/1.12 , 1, clause( 106, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.12 'e_1' ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , 2, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_1' )] ), substitution( 1
% 0.69/1.12 , [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 111, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.12 ), product( 'e_1', 'e_1', 'e_3' ) ] )
% 0.69/1.12 , clause( 537, [ product( 'e_1', 'e_1', 'e_3' ), product( 'e_1', 'e_1',
% 0.69/1.12 'e_1' ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.69/1.12 , 1 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 538, [ product( 'e_3', 'e_3', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.12 product( 'e_3', 'e_3', 'e_2' ), product( 'e_3', 'e_1', 'e_1' ), product(
% 0.69/1.12 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , clause( 99, [ product( 'e_3', 'e_3', 'e_1' ), equalish( X, 'e_3' ),
% 0.69/1.12 product( 'e_3', 'e_3', 'e_2' ), ~( product( 'e_3', X, 'e_3' ) ) ] )
% 0.69/1.12 , 3, clause( 24, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1',
% 0.69/1.12 'e_2' ), product( 'e_3', 'e_1', 'e_3' ) ] )
% 0.69/1.12 , 2, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 539, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_2'
% 0.69/1.12 ), product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , clause( 4, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.69/1.12 , 0, clause( 538, [ product( 'e_3', 'e_3', 'e_1' ), equalish( 'e_1', 'e_3'
% 0.69/1.12 ), product( 'e_3', 'e_3', 'e_2' ), product( 'e_3', 'e_1', 'e_1' ),
% 0.69/1.12 product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 131, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_1'
% 0.69/1.12 ), product( 'e_3', 'e_1', 'e_2' ), product( 'e_3', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , clause( 539, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_3',
% 0.69/1.12 'e_2' ), product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ]
% 0.69/1.12 )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 3 ), ==>( 2
% 0.69/1.12 , 1 ), ==>( 3, 2 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 540, [ product( 'e_3', 'e_3', 'e_1' ), equalish( 'e_2', 'e_3' ),
% 0.69/1.12 product( 'e_3', 'e_3', 'e_2' ), product( 'e_3', 'e_2', 'e_1' ), product(
% 0.69/1.12 'e_3', 'e_2', 'e_2' ) ] )
% 0.69/1.12 , clause( 99, [ product( 'e_3', 'e_3', 'e_1' ), equalish( X, 'e_3' ),
% 0.69/1.12 product( 'e_3', 'e_3', 'e_2' ), ~( product( 'e_3', X, 'e_3' ) ) ] )
% 0.69/1.12 , 3, clause( 46, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2',
% 0.69/1.12 'e_2' ), product( 'e_3', 'e_2', 'e_3' ) ] )
% 0.69/1.12 , 2, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 541, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_2'
% 0.69/1.12 ), product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.69/1.12 , clause( 6, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.69/1.12 , 0, clause( 540, [ product( 'e_3', 'e_3', 'e_1' ), equalish( 'e_2', 'e_3'
% 0.69/1.12 ), product( 'e_3', 'e_3', 'e_2' ), product( 'e_3', 'e_2', 'e_1' ),
% 0.69/1.12 product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.69/1.12 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 132, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_2', 'e_1'
% 0.69/1.12 ), product( 'e_3', 'e_2', 'e_2' ), product( 'e_3', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , clause( 541, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_3',
% 0.69/1.12 'e_2' ), product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_2' ) ]
% 0.69/1.12 )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 3 ), ==>( 2
% 0.69/1.12 , 1 ), ==>( 3, 2 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 542, [ product( 'e_3', 'e_3', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.12 product( 'e_3', 'e_3', 'e_2' ), product( 'e_1', 'e_3', 'e_1' ), product(
% 0.69/1.12 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , clause( 101, [ product( 'e_3', 'e_3', 'e_1' ), equalish( X, 'e_3' ),
% 0.69/1.12 product( 'e_3', 'e_3', 'e_2' ), ~( product( X, 'e_3', 'e_3' ) ) ] )
% 0.69/1.12 , 3, clause( 58, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3',
% 0.69/1.12 'e_2' ), product( 'e_1', 'e_3', 'e_3' ) ] )
% 0.69/1.12 , 2, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 543, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_2'
% 0.69/1.12 ), product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , clause( 4, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.69/1.12 , 0, clause( 542, [ product( 'e_3', 'e_3', 'e_1' ), equalish( 'e_1', 'e_3'
% 0.69/1.12 ), product( 'e_3', 'e_3', 'e_2' ), product( 'e_1', 'e_3', 'e_1' ),
% 0.69/1.12 product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 134, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.69/1.12 ), product( 'e_1', 'e_3', 'e_2' ), product( 'e_3', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , clause( 543, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_3',
% 0.69/1.12 'e_2' ), product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ]
% 0.69/1.12 )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 3 ), ==>( 2
% 0.69/1.12 , 1 ), ==>( 3, 2 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 544, [ product( 'e_3', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.12 product( 'e_3', 'e_1', 'e_2' ), product( 'e_1', 'e_1', 'e_1' ), product(
% 0.69/1.12 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.12 , clause( 93, [ product( 'e_3', 'e_1', 'e_1' ), equalish( X, 'e_3' ),
% 0.69/1.12 product( 'e_3', 'e_1', 'e_2' ), ~( product( X, 'e_1', 'e_3' ) ) ] )
% 0.69/1.12 , 3, clause( 111, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.12 'e_1' ), product( 'e_1', 'e_1', 'e_3' ) ] )
% 0.69/1.12 , 2, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 545, [ product( 'e_1', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.12 product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ), product( 'e_3'
% 0.69/1.12 , 'e_1', 'e_2' ), product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.12 'e_1' ) ] )
% 0.69/1.12 , clause( 108, [ product( 'e_1', 'e_1', 'e_1' ), equalish( X, 'e_3' ),
% 0.69/1.12 product( 'e_2', 'e_2', 'e_1' ), ~( product( 'e_3', X, 'e_1' ) ) ] )
% 0.69/1.12 , 3, clause( 544, [ product( 'e_3', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3'
% 0.69/1.12 ), product( 'e_3', 'e_1', 'e_2' ), product( 'e_1', 'e_1', 'e_1' ),
% 0.69/1.12 product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.12 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 546, [ product( 'e_1', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.12 product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ), product( 'e_3'
% 0.69/1.12 , 'e_1', 'e_2' ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.12 , clause( 545, [ product( 'e_1', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.12 product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ), product( 'e_3'
% 0.69/1.12 , 'e_1', 'e_2' ), product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.12 'e_1' ) ] )
% 0.69/1.12 , 0, 5, substitution( 0, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 548, [ product( 'e_1', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.12 product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ), product( 'e_3'
% 0.69/1.12 , 'e_1', 'e_2' ) ] )
% 0.69/1.12 , clause( 546, [ product( 'e_1', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.12 product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ), product( 'e_3'
% 0.69/1.12 , 'e_1', 'e_2' ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.12 , 2, 5, substitution( 0, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 549, [ product( 'e_1', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.12 product( 'e_2', 'e_2', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , clause( 548, [ product( 'e_1', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.12 product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ), product( 'e_3'
% 0.69/1.12 , 'e_1', 'e_2' ) ] )
% 0.69/1.12 , 1, 3, substitution( 0, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 138, [ equalish( 'e_1', 'e_3' ), product( 'e_1', 'e_1', 'e_1' ),
% 0.69/1.12 product( 'e_2', 'e_2', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , clause( 549, [ product( 'e_1', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.12 product( 'e_2', 'e_2', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.69/1.12 , 2 ), ==>( 3, 3 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 550, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.12 ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , clause( 4, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.69/1.12 , 0, clause( 138, [ equalish( 'e_1', 'e_3' ), product( 'e_1', 'e_1', 'e_1'
% 0.69/1.12 ), product( 'e_2', 'e_2', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 140, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.12 ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , clause( 550, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.12 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.69/1.12 , 2 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 551, [ product( 'e_1', 'e_3', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.12 product( 'e_1', 'e_3', 'e_2' ), product( 'e_1', 'e_1', 'e_1' ), product(
% 0.69/1.12 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.12 , clause( 66, [ product( 'e_1', 'e_3', 'e_1' ), equalish( X, 'e_3' ),
% 0.69/1.12 product( 'e_1', 'e_3', 'e_2' ), ~( product( 'e_1', X, 'e_3' ) ) ] )
% 0.69/1.12 , 3, clause( 111, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.12 'e_1' ), product( 'e_1', 'e_1', 'e_3' ) ] )
% 0.69/1.12 , 2, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 552, [ product( 'e_1', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.12 product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ), product( 'e_1'
% 0.69/1.12 , 'e_3', 'e_2' ), product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.12 'e_1' ) ] )
% 0.69/1.12 , clause( 110, [ product( 'e_1', 'e_1', 'e_1' ), equalish( X, 'e_3' ),
% 0.69/1.12 product( 'e_2', 'e_2', 'e_1' ), ~( product( X, 'e_3', 'e_1' ) ) ] )
% 0.69/1.12 , 3, clause( 551, [ product( 'e_1', 'e_3', 'e_1' ), equalish( 'e_1', 'e_3'
% 0.69/1.12 ), product( 'e_1', 'e_3', 'e_2' ), product( 'e_1', 'e_1', 'e_1' ),
% 0.69/1.12 product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.12 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 553, [ product( 'e_1', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.12 product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ), product( 'e_1'
% 0.69/1.12 , 'e_3', 'e_2' ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.12 , clause( 552, [ product( 'e_1', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.12 product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ), product( 'e_1'
% 0.69/1.12 , 'e_3', 'e_2' ), product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.12 'e_1' ) ] )
% 0.69/1.12 , 0, 5, substitution( 0, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 555, [ product( 'e_1', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.12 product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ), product( 'e_1'
% 0.69/1.12 , 'e_3', 'e_2' ) ] )
% 0.69/1.12 , clause( 553, [ product( 'e_1', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.12 product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ), product( 'e_1'
% 0.69/1.12 , 'e_3', 'e_2' ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.12 , 2, 5, substitution( 0, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 556, [ product( 'e_1', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.12 product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , clause( 555, [ product( 'e_1', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.12 product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ), product( 'e_1'
% 0.69/1.12 , 'e_3', 'e_2' ) ] )
% 0.69/1.12 , 1, 3, substitution( 0, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 149, [ equalish( 'e_1', 'e_3' ), product( 'e_1', 'e_1', 'e_1' ),
% 0.69/1.12 product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , clause( 556, [ product( 'e_1', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.12 product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.69/1.12 , 2 ), ==>( 3, 3 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 557, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.12 ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , clause( 4, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.69/1.12 , 0, clause( 149, [ equalish( 'e_1', 'e_3' ), product( 'e_1', 'e_1', 'e_1'
% 0.69/1.12 ), product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 150, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.12 ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , clause( 557, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.12 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.69/1.12 , 2 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 563, [ ~( product( 'e_3', 'e_1', X ) ), product( X, 'e_2', 'e_1' )
% 0.69/1.12 , product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.12 , clause( 13, [ ~( product( X, Y, Z ) ), product( Z, T, Y ), ~( product( Y
% 0.69/1.12 , X, T ) ) ] )
% 0.69/1.12 , 2, clause( 150, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.12 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , 2, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_1' ), :=( Z, X ), :=( T,
% 0.69/1.12 'e_2' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 151, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.12 ), product( X, 'e_2', 'e_1' ), ~( product( 'e_3', 'e_1', X ) ) ] )
% 0.69/1.12 , clause( 563, [ ~( product( 'e_3', 'e_1', X ) ), product( X, 'e_2', 'e_1'
% 0.69/1.12 ), product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 0.69/1.12 2 ), ==>( 2, 0 ), ==>( 3, 1 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 566, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.12 ), ~( product( 'e_3', 'e_1', 'e_2' ) ) ] )
% 0.69/1.12 , clause( 151, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.12 'e_1' ), product( X, 'e_2', 'e_1' ), ~( product( 'e_3', 'e_1', X ) ) ] )
% 0.69/1.12 , 1, 2, substitution( 0, [ :=( X, 'e_2' )] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 567, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.12 ), product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.12 , clause( 566, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.12 'e_1' ), ~( product( 'e_3', 'e_1', 'e_2' ) ) ] )
% 0.69/1.12 , 2, clause( 140, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.12 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 568, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.12 ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.12 , clause( 567, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.12 'e_1' ), product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1' ) ]
% 0.69/1.12 )
% 0.69/1.12 , 0, 2, substitution( 0, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 569, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.12 ) ] )
% 0.69/1.12 , clause( 568, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.12 'e_1' ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.12 , 1, 2, substitution( 0, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 155, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.12 ) ] )
% 0.69/1.12 , clause( 569, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.12 'e_1' ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.69/1.12 ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 571, [ product( 'e_1', 'e_1', 'e_2' ), product( 'e_1', 'e_1', 'e_1'
% 0.69/1.12 ) ] )
% 0.69/1.12 , clause( 18, [ product( Y, Y, X ), ~( product( X, X, Y ) ) ] )
% 0.69/1.12 , 1, clause( 155, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.12 'e_1' ) ] )
% 0.69/1.12 , 1, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_1' )] ), substitution( 1
% 0.69/1.12 , [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 160, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1', 'e_2'
% 0.69/1.12 ) ] )
% 0.69/1.12 , clause( 571, [ product( 'e_1', 'e_1', 'e_2' ), product( 'e_1', 'e_1',
% 0.69/1.12 'e_1' ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.69/1.12 ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 575, [ equalish( X, 'e_1' ), ~( product( 'e_1', X, 'e_2' ) ),
% 0.69/1.12 product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.69/1.12 , clause( 11, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.69/1.12 , Z ) ) ] )
% 0.69/1.12 , 2, clause( 160, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1',
% 0.69/1.12 'e_2' ) ] )
% 0.69/1.12 , 1, substitution( 0, [ :=( X, 'e_1' ), :=( Y, X ), :=( Z, 'e_2' ), :=( T,
% 0.69/1.12 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 162, [ equalish( X, 'e_1' ), product( 'e_1', 'e_1', 'e_1' ), ~(
% 0.69/1.12 product( 'e_1', X, 'e_2' ) ) ] )
% 0.69/1.12 , clause( 575, [ equalish( X, 'e_1' ), ~( product( 'e_1', X, 'e_2' ) ),
% 0.69/1.12 product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.69/1.12 2 ), ==>( 2, 1 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 579, [ equalish( X, 'e_1' ), ~( product( X, 'e_1', 'e_2' ) ),
% 0.69/1.12 product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.69/1.12 , clause( 12, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.69/1.12 , Z ) ) ] )
% 0.69/1.12 , 2, clause( 160, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1',
% 0.69/1.12 'e_2' ) ] )
% 0.69/1.12 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'e_1' ), :=( Z, 'e_2' ), :=( T,
% 0.69/1.12 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 164, [ equalish( X, 'e_1' ), product( 'e_1', 'e_1', 'e_1' ), ~(
% 0.69/1.12 product( X, 'e_1', 'e_2' ) ) ] )
% 0.69/1.12 , clause( 579, [ equalish( X, 'e_1' ), ~( product( X, 'e_1', 'e_2' ) ),
% 0.69/1.12 product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.69/1.12 2 ), ==>( 2, 1 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 582, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_2'
% 0.69/1.12 ), product( 'e_3', 'e_3', 'e_3' ), product( 'e_2', 'e_3', 'e_1' ),
% 0.69/1.12 product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , clause( 81, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2',
% 0.69/1.12 'e_2' ), product( X, 'e_3', 'e_3' ), ~( product( 'e_2', 'e_3', X ) ) ] )
% 0.69/1.12 , 3, clause( 59, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3',
% 0.69/1.12 'e_2' ), product( 'e_2', 'e_3', 'e_3' ) ] )
% 0.69/1.12 , 2, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 602, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2'
% 0.69/1.12 ), product( 'e_2', 'e_3', 'e_2' ), product( 'e_3', 'e_2', 'e_1' ),
% 0.69/1.12 product( 'e_3', 'e_3', 'e_3' ), product( 'e_2', 'e_3', 'e_1' ), product(
% 0.69/1.12 'e_2', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , clause( 76, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3',
% 0.69/1.12 'e_2' ), product( X, 'e_3', 'e_2' ), ~( product( 'e_3', 'e_2', X ) ) ] )
% 0.69/1.12 , 3, clause( 582, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2',
% 0.69/1.12 'e_2' ), product( 'e_3', 'e_3', 'e_3' ), product( 'e_2', 'e_3', 'e_1' ),
% 0.69/1.12 product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , 1, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 605, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2'
% 0.69/1.12 ), product( 'e_2', 'e_3', 'e_2' ), product( 'e_3', 'e_2', 'e_1' ),
% 0.69/1.12 product( 'e_3', 'e_3', 'e_3' ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , clause( 602, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3',
% 0.69/1.12 'e_2' ), product( 'e_2', 'e_3', 'e_2' ), product( 'e_3', 'e_2', 'e_1' ),
% 0.69/1.12 product( 'e_3', 'e_3', 'e_3' ), product( 'e_2', 'e_3', 'e_1' ), product(
% 0.69/1.12 'e_2', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , 0, 5, substitution( 0, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 606, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2'
% 0.69/1.12 ), product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_3', 'e_3' ),
% 0.69/1.12 product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , clause( 605, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3',
% 0.69/1.12 'e_2' ), product( 'e_2', 'e_3', 'e_2' ), product( 'e_3', 'e_2', 'e_1' ),
% 0.69/1.12 product( 'e_3', 'e_3', 'e_3' ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , 1, 2, substitution( 0, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 607, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2'
% 0.69/1.12 ), product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_3', 'e_3' ) ] )
% 0.69/1.12 , clause( 606, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3',
% 0.69/1.12 'e_2' ), product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_3', 'e_3' ),
% 0.69/1.12 product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , 1, 4, substitution( 0, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 192, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.69/1.12 ), product( 'e_2', 'e_3', 'e_2' ), product( 'e_3', 'e_3', 'e_3' ) ] )
% 0.69/1.12 , clause( 607, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3',
% 0.69/1.12 'e_2' ), product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_3', 'e_3' ) ]
% 0.69/1.12 )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2
% 0.69/1.12 , 0 ), ==>( 3, 3 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 608, [ product( 'e_2', 'e_3', 'e_1' ), equalish( 'e_3', 'e_2' ),
% 0.69/1.12 product( 'e_2', 'e_3', 'e_2' ), product( 'e_3', 'e_2', 'e_1' ), product(
% 0.69/1.12 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , clause( 79, [ product( 'e_2', 'e_3', 'e_1' ), equalish( X, 'e_2' ),
% 0.69/1.12 product( 'e_2', 'e_3', 'e_2' ), ~( product( X, 'e_3', 'e_3' ) ) ] )
% 0.69/1.12 , 3, clause( 192, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_2', 'e_3',
% 0.69/1.12 'e_1' ), product( 'e_2', 'e_3', 'e_2' ), product( 'e_3', 'e_3', 'e_3' ) ]
% 0.69/1.12 )
% 0.69/1.12 , 3, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 609, [ product( 'e_2', 'e_3', 'e_1' ), equalish( 'e_3', 'e_2' ),
% 0.69/1.12 product( 'e_2', 'e_3', 'e_2' ), product( 'e_3', 'e_2', 'e_1' ), product(
% 0.69/1.12 'e_2', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , clause( 608, [ product( 'e_2', 'e_3', 'e_1' ), equalish( 'e_3', 'e_2' ),
% 0.69/1.12 product( 'e_2', 'e_3', 'e_2' ), product( 'e_3', 'e_2', 'e_1' ), product(
% 0.69/1.12 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , 0, 4, substitution( 0, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 610, [ product( 'e_2', 'e_3', 'e_1' ), equalish( 'e_3', 'e_2' ),
% 0.69/1.12 product( 'e_2', 'e_3', 'e_2' ), product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.69/1.12 , clause( 609, [ product( 'e_2', 'e_3', 'e_1' ), equalish( 'e_3', 'e_2' ),
% 0.69/1.12 product( 'e_2', 'e_3', 'e_2' ), product( 'e_3', 'e_2', 'e_1' ), product(
% 0.69/1.12 'e_2', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , 2, 4, substitution( 0, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 611, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2'
% 0.69/1.12 ), product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.69/1.12 , clause( 8, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.69/1.12 , 0, clause( 610, [ product( 'e_2', 'e_3', 'e_1' ), equalish( 'e_3', 'e_2'
% 0.69/1.12 ), product( 'e_2', 'e_3', 'e_2' ), product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.69/1.12 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 193, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.69/1.12 ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , clause( 611, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3',
% 0.69/1.12 'e_2' ), product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2
% 0.69/1.12 , 0 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 613, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_2'
% 0.69/1.12 ), product( 'e_2', 'e_3', 'e_3' ), product( 'e_3', 'e_2', 'e_1' ),
% 0.69/1.12 product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , clause( 81, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2',
% 0.69/1.12 'e_2' ), product( X, 'e_3', 'e_3' ), ~( product( 'e_2', 'e_3', X ) ) ] )
% 0.69/1.12 , 3, clause( 193, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_2', 'e_3',
% 0.69/1.12 'e_1' ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , 2, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 614, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_2'
% 0.69/1.12 ), product( 'e_2', 'e_3', 'e_3' ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , clause( 613, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2',
% 0.69/1.12 'e_2' ), product( 'e_2', 'e_3', 'e_3' ), product( 'e_3', 'e_2', 'e_1' ),
% 0.69/1.12 product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , 0, 3, substitution( 0, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 194, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.69/1.12 ), product( 'e_3', 'e_2', 'e_2' ), product( 'e_2', 'e_3', 'e_3' ) ] )
% 0.69/1.12 , clause( 614, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2',
% 0.69/1.12 'e_2' ), product( 'e_2', 'e_3', 'e_3' ), product( 'e_2', 'e_3', 'e_1' ) ]
% 0.69/1.12 )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2
% 0.69/1.12 , 3 ), ==>( 3, 1 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 621, [ equalish( X, 'e_2' ), ~( product( 'e_2', 'e_3', X ) ),
% 0.69/1.12 product( 'e_3', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , clause( 10, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y
% 0.69/1.12 , T ) ) ] )
% 0.69/1.12 , 2, clause( 193, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_2', 'e_3',
% 0.69/1.12 'e_1' ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , 2, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_3' ), :=( Z, X ), :=( T,
% 0.69/1.12 'e_2' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 198, [ product( 'e_3', 'e_2', 'e_1' ), equalish( X, 'e_2' ),
% 0.69/1.12 product( 'e_2', 'e_3', 'e_1' ), ~( product( 'e_2', 'e_3', X ) ) ] )
% 0.69/1.12 , clause( 621, [ equalish( X, 'e_2' ), ~( product( 'e_2', 'e_3', X ) ),
% 0.69/1.12 product( 'e_3', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.69/1.12 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 627, [ equalish( X, 'e_2' ), ~( product( X, 'e_3', 'e_2' ) ),
% 0.69/1.12 product( 'e_3', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , clause( 12, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.69/1.12 , Z ) ) ] )
% 0.69/1.12 , 2, clause( 193, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_2', 'e_3',
% 0.69/1.12 'e_1' ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , 2, substitution( 0, [ :=( X, X ), :=( Y, 'e_3' ), :=( Z, 'e_2' ), :=( T,
% 0.69/1.12 'e_2' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 199, [ product( 'e_3', 'e_2', 'e_1' ), equalish( X, 'e_2' ),
% 0.69/1.12 product( 'e_2', 'e_3', 'e_1' ), ~( product( X, 'e_3', 'e_2' ) ) ] )
% 0.69/1.12 , clause( 627, [ equalish( X, 'e_2' ), ~( product( X, 'e_3', 'e_2' ) ),
% 0.69/1.12 product( 'e_3', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.69/1.12 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 630, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.69/1.12 ), product( 'e_3', 'e_3', 'e_3' ), product( 'e_1', 'e_3', 'e_1' ),
% 0.69/1.12 product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , clause( 90, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1',
% 0.69/1.12 'e_2' ), product( X, 'e_3', 'e_3' ), ~( product( 'e_1', 'e_3', X ) ) ] )
% 0.69/1.12 , 3, clause( 58, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3',
% 0.69/1.12 'e_2' ), product( 'e_1', 'e_3', 'e_3' ) ] )
% 0.69/1.12 , 2, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 649, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.69/1.12 ), product( 'e_1', 'e_3', 'e_2' ), product( 'e_3', 'e_1', 'e_2' ),
% 0.69/1.12 product( 'e_3', 'e_3', 'e_3' ), product( 'e_1', 'e_3', 'e_1' ), product(
% 0.69/1.12 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , clause( 65, [ product( 'e_1', 'e_3', 'e_1' ), product( X, 'e_3', 'e_1' )
% 0.69/1.12 , product( 'e_1', 'e_3', 'e_2' ), ~( product( 'e_3', 'e_1', X ) ) ] )
% 0.69/1.12 , 3, clause( 630, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1',
% 0.69/1.12 'e_2' ), product( 'e_3', 'e_3', 'e_3' ), product( 'e_1', 'e_3', 'e_1' ),
% 0.69/1.12 product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 651, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2'
% 0.69/1.12 ), product( 'e_3', 'e_1', 'e_2' ), product( 'e_3', 'e_3', 'e_3' ),
% 0.69/1.12 product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , clause( 649, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3',
% 0.69/1.12 'e_1' ), product( 'e_1', 'e_3', 'e_2' ), product( 'e_3', 'e_1', 'e_2' ),
% 0.69/1.12 product( 'e_3', 'e_3', 'e_3' ), product( 'e_1', 'e_3', 'e_1' ), product(
% 0.69/1.12 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , 0, 1, substitution( 0, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 652, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2'
% 0.69/1.12 ), product( 'e_3', 'e_1', 'e_2' ), product( 'e_3', 'e_3', 'e_3' ),
% 0.69/1.12 product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , clause( 651, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3',
% 0.69/1.12 'e_2' ), product( 'e_3', 'e_1', 'e_2' ), product( 'e_3', 'e_3', 'e_3' ),
% 0.69/1.12 product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , 0, 4, substitution( 0, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 653, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2'
% 0.69/1.12 ), product( 'e_3', 'e_1', 'e_2' ), product( 'e_3', 'e_3', 'e_3' ) ] )
% 0.69/1.12 , clause( 652, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3',
% 0.69/1.12 'e_2' ), product( 'e_3', 'e_1', 'e_2' ), product( 'e_3', 'e_3', 'e_3' ),
% 0.69/1.12 product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , 1, 4, substitution( 0, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 205, [ product( 'e_3', 'e_1', 'e_2' ), product( 'e_1', 'e_3', 'e_1'
% 0.69/1.12 ), product( 'e_1', 'e_3', 'e_2' ), product( 'e_3', 'e_3', 'e_3' ) ] )
% 0.69/1.12 , clause( 653, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3',
% 0.69/1.12 'e_2' ), product( 'e_3', 'e_1', 'e_2' ), product( 'e_3', 'e_3', 'e_3' ) ]
% 0.69/1.12 )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2
% 0.69/1.12 , 0 ), ==>( 3, 3 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 656, [ product( 'e_1', 'e_3', 'e_1' ), equalish( 'e_3', 'e_1' ),
% 0.69/1.12 product( 'e_1', 'e_3', 'e_2' ), product( 'e_3', 'e_1', 'e_2' ), product(
% 0.69/1.12 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , clause( 68, [ product( 'e_1', 'e_3', 'e_1' ), equalish( X, 'e_1' ),
% 0.69/1.12 product( 'e_1', 'e_3', 'e_2' ), ~( product( X, 'e_3', 'e_3' ) ) ] )
% 0.69/1.12 , 3, clause( 205, [ product( 'e_3', 'e_1', 'e_2' ), product( 'e_1', 'e_3',
% 0.69/1.12 'e_1' ), product( 'e_1', 'e_3', 'e_2' ), product( 'e_3', 'e_3', 'e_3' ) ]
% 0.69/1.12 )
% 0.69/1.12 , 3, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 657, [ product( 'e_1', 'e_3', 'e_1' ), equalish( 'e_3', 'e_1' ),
% 0.69/1.12 product( 'e_1', 'e_3', 'e_2' ), product( 'e_3', 'e_1', 'e_2' ), product(
% 0.69/1.12 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , clause( 656, [ product( 'e_1', 'e_3', 'e_1' ), equalish( 'e_3', 'e_1' ),
% 0.69/1.12 product( 'e_1', 'e_3', 'e_2' ), product( 'e_3', 'e_1', 'e_2' ), product(
% 0.69/1.12 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , 0, 4, substitution( 0, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 658, [ product( 'e_1', 'e_3', 'e_1' ), equalish( 'e_3', 'e_1' ),
% 0.69/1.12 product( 'e_1', 'e_3', 'e_2' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , clause( 657, [ product( 'e_1', 'e_3', 'e_1' ), equalish( 'e_3', 'e_1' ),
% 0.69/1.12 product( 'e_1', 'e_3', 'e_2' ), product( 'e_3', 'e_1', 'e_2' ), product(
% 0.69/1.12 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , 2, 4, substitution( 0, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 659, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2'
% 0.69/1.12 ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , clause( 7, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.69/1.12 , 0, clause( 658, [ product( 'e_1', 'e_3', 'e_1' ), equalish( 'e_3', 'e_1'
% 0.69/1.12 ), product( 'e_1', 'e_3', 'e_2' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 206, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.69/1.12 ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , clause( 659, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3',
% 0.69/1.12 'e_2' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2
% 0.69/1.12 , 1 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 660, [ product( 'e_3', 'e_2', 'e_1' ), equalish( 'e_1', 'e_2' ),
% 0.69/1.12 product( 'e_2', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ), product(
% 0.69/1.12 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , clause( 199, [ product( 'e_3', 'e_2', 'e_1' ), equalish( X, 'e_2' ),
% 0.69/1.12 product( 'e_2', 'e_3', 'e_1' ), ~( product( X, 'e_3', 'e_2' ) ) ] )
% 0.69/1.12 , 3, clause( 206, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_1',
% 0.69/1.12 'e_2' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , 2, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 661, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.69/1.12 ), product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , clause( 3, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.69/1.12 , 0, clause( 660, [ product( 'e_3', 'e_2', 'e_1' ), equalish( 'e_1', 'e_2'
% 0.69/1.12 ), product( 'e_2', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ),
% 0.69/1.12 product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 207, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_2', 'e_1'
% 0.69/1.12 ), product( 'e_2', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , clause( 661, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_2', 'e_3',
% 0.69/1.12 'e_1' ), product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ]
% 0.69/1.12 )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2
% 0.69/1.12 , 0 ), ==>( 3, 3 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 663, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.69/1.12 ), product( 'e_2', 'e_3', 'e_3' ), product( 'e_1', 'e_3', 'e_1' ),
% 0.69/1.12 product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , clause( 90, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1',
% 0.69/1.12 'e_2' ), product( X, 'e_3', 'e_3' ), ~( product( 'e_1', 'e_3', X ) ) ] )
% 0.69/1.12 , 3, clause( 206, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_1',
% 0.69/1.12 'e_2' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , 2, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 664, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.69/1.12 ), product( 'e_2', 'e_3', 'e_3' ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , clause( 663, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1',
% 0.69/1.12 'e_2' ), product( 'e_2', 'e_3', 'e_3' ), product( 'e_1', 'e_3', 'e_1' ),
% 0.69/1.12 product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , 1, 4, substitution( 0, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 208, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_1'
% 0.69/1.12 ), product( 'e_3', 'e_1', 'e_2' ), product( 'e_2', 'e_3', 'e_3' ) ] )
% 0.69/1.12 , clause( 664, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1',
% 0.69/1.12 'e_2' ), product( 'e_2', 'e_3', 'e_3' ), product( 'e_1', 'e_3', 'e_1' ) ]
% 0.69/1.12 )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2
% 0.69/1.12 , 3 ), ==>( 3, 0 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 666, [ equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_1', 'e_1' ),
% 0.69/1.12 product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , clause( 162, [ equalish( X, 'e_1' ), product( 'e_1', 'e_1', 'e_1' ), ~(
% 0.69/1.12 product( 'e_1', X, 'e_2' ) ) ] )
% 0.69/1.12 , 2, clause( 206, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_1',
% 0.69/1.12 'e_2' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , 2, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 667, [ equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_1', 'e_1' ),
% 0.69/1.12 equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_1', 'e_1' ), product( 'e_1'
% 0.69/1.12 , 'e_3', 'e_1' ) ] )
% 0.69/1.12 , clause( 164, [ equalish( X, 'e_1' ), product( 'e_1', 'e_1', 'e_1' ), ~(
% 0.69/1.12 product( X, 'e_1', 'e_2' ) ) ] )
% 0.69/1.12 , 2, clause( 666, [ equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_1', 'e_1'
% 0.69/1.12 ), product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , 3, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 669, [ equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_1', 'e_1' ),
% 0.69/1.12 equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , clause( 667, [ equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_1', 'e_1' ),
% 0.69/1.12 equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_1', 'e_1' ), product( 'e_1'
% 0.69/1.12 , 'e_3', 'e_1' ) ] )
% 0.69/1.12 , 1, 3, substitution( 0, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 670, [ equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_1', 'e_1' ),
% 0.69/1.12 product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , clause( 669, [ equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_1', 'e_1' ),
% 0.69/1.12 equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , 0, 2, substitution( 0, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 209, [ equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_1', 'e_1' ),
% 0.69/1.12 product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , clause( 670, [ equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_1', 'e_1' ),
% 0.69/1.12 product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.69/1.12 , 2 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 671, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.12 product( 'e_2', 'e_2', 'e_2' ), product( 'e_1', 'e_3', 'e_1' ), product(
% 0.69/1.12 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , clause( 97, [ product( 'e_2', 'e_2', 'e_1' ), equalish( X, 'e_3' ),
% 0.69/1.12 product( 'e_2', 'e_2', 'e_2' ), ~( product( X, 'e_3', 'e_2' ) ) ] )
% 0.69/1.12 , 3, clause( 206, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_1',
% 0.69/1.12 'e_2' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , 2, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 672, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.12 product( 'e_2', 'e_2', 'e_2' ), product( 'e_2', 'e_2', 'e_1' ), equalish(
% 0.69/1.12 'e_1', 'e_3' ), product( 'e_2', 'e_2', 'e_2' ), product( 'e_1', 'e_3',
% 0.69/1.12 'e_1' ) ] )
% 0.69/1.12 , clause( 95, [ product( 'e_2', 'e_2', 'e_1' ), equalish( X, 'e_3' ),
% 0.69/1.12 product( 'e_2', 'e_2', 'e_2' ), ~( product( 'e_3', X, 'e_2' ) ) ] )
% 0.69/1.12 , 3, clause( 671, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3'
% 0.69/1.12 ), product( 'e_2', 'e_2', 'e_2' ), product( 'e_1', 'e_3', 'e_1' ),
% 0.69/1.12 product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , 4, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 673, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.12 product( 'e_2', 'e_2', 'e_2' ), equalish( 'e_1', 'e_3' ), product( 'e_2'
% 0.69/1.12 , 'e_2', 'e_2' ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , clause( 672, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.12 product( 'e_2', 'e_2', 'e_2' ), product( 'e_2', 'e_2', 'e_1' ), equalish(
% 0.69/1.12 'e_1', 'e_3' ), product( 'e_2', 'e_2', 'e_2' ), product( 'e_1', 'e_3',
% 0.69/1.12 'e_1' ) ] )
% 0.69/1.12 , 0, 3, substitution( 0, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 675, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.12 product( 'e_2', 'e_2', 'e_2' ), equalish( 'e_1', 'e_3' ), product( 'e_1'
% 0.69/1.12 , 'e_3', 'e_1' ) ] )
% 0.69/1.12 , clause( 673, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.12 product( 'e_2', 'e_2', 'e_2' ), equalish( 'e_1', 'e_3' ), product( 'e_2'
% 0.69/1.12 , 'e_2', 'e_2' ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , 2, 4, substitution( 0, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 676, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.12 product( 'e_2', 'e_2', 'e_2' ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , clause( 675, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.12 product( 'e_2', 'e_2', 'e_2' ), equalish( 'e_1', 'e_3' ), product( 'e_1'
% 0.69/1.12 , 'e_3', 'e_1' ) ] )
% 0.69/1.12 , 1, 3, substitution( 0, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 210, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.12 product( 'e_1', 'e_3', 'e_1' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.69/1.12 , clause( 676, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.12 product( 'e_2', 'e_2', 'e_2' ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.69/1.12 , 3 ), ==>( 3, 2 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 682, [ equalish( X, 'e_1' ), ~( product( X, 'e_3', 'e_2' ) ),
% 0.69/1.12 product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , clause( 12, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.69/1.12 , Z ) ) ] )
% 0.69/1.12 , 2, clause( 206, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_1',
% 0.69/1.12 'e_2' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , 2, substitution( 0, [ :=( X, X ), :=( Y, 'e_3' ), :=( Z, 'e_2' ), :=( T,
% 0.69/1.12 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 214, [ product( 'e_1', 'e_3', 'e_1' ), equalish( X, 'e_1' ),
% 0.69/1.12 product( 'e_3', 'e_1', 'e_2' ), ~( product( X, 'e_3', 'e_2' ) ) ] )
% 0.69/1.12 , clause( 682, [ equalish( X, 'e_1' ), ~( product( X, 'e_3', 'e_2' ) ),
% 0.69/1.12 product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.69/1.12 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 683, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.69/1.12 ) ] )
% 0.69/1.12 , clause( 7, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.69/1.12 , 0, clause( 209, [ equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_1', 'e_1'
% 0.69/1.12 ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 215, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.69/1.12 ) ] )
% 0.69/1.12 , clause( 683, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_3',
% 0.69/1.12 'e_1' ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.69/1.12 ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 687, [ ~( product( 'e_3', 'e_1', X ) ), product( X, 'e_1', 'e_1' )
% 0.69/1.12 , product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.69/1.12 , clause( 13, [ ~( product( X, Y, Z ) ), product( Z, T, Y ), ~( product( Y
% 0.69/1.12 , X, T ) ) ] )
% 0.69/1.12 , 2, clause( 215, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_3',
% 0.69/1.12 'e_1' ) ] )
% 0.69/1.12 , 1, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_1' ), :=( Z, X ), :=( T,
% 0.69/1.12 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 217, [ product( 'e_1', 'e_1', 'e_1' ), product( X, 'e_1', 'e_1' ),
% 0.69/1.12 ~( product( 'e_3', 'e_1', X ) ) ] )
% 0.69/1.12 , clause( 687, [ ~( product( 'e_3', 'e_1', X ) ), product( X, 'e_1', 'e_1'
% 0.69/1.12 ), product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.69/1.12 1 ), ==>( 2, 0 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 692, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_1'
% 0.69/1.12 ), product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , clause( 217, [ product( 'e_1', 'e_1', 'e_1' ), product( X, 'e_1', 'e_1' )
% 0.69/1.12 , ~( product( 'e_3', 'e_1', X ) ) ] )
% 0.69/1.12 , 2, clause( 24, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1',
% 0.69/1.12 'e_2' ), product( 'e_3', 'e_1', 'e_3' ) ] )
% 0.69/1.12 , 2, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 693, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_1'
% 0.69/1.12 ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , clause( 692, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_3', 'e_1',
% 0.69/1.12 'e_1' ), product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ]
% 0.69/1.12 )
% 0.69/1.12 , 1, 2, substitution( 0, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 701, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1', 'e_1'
% 0.69/1.12 ), product( 'e_1', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , clause( 217, [ product( 'e_1', 'e_1', 'e_1' ), product( X, 'e_1', 'e_1' )
% 0.69/1.12 , ~( product( 'e_3', 'e_1', X ) ) ] )
% 0.69/1.12 , 2, clause( 693, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_3', 'e_1',
% 0.69/1.12 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , 1, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 703, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1', 'e_1'
% 0.69/1.12 ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , clause( 701, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1',
% 0.69/1.12 'e_1' ), product( 'e_1', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ]
% 0.69/1.12 )
% 0.69/1.12 , 0, 1, substitution( 0, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 704, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.69/1.12 ) ] )
% 0.69/1.12 , clause( 703, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1',
% 0.69/1.12 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , 0, 1, substitution( 0, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 222, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.69/1.12 ) ] )
% 0.69/1.12 , clause( 704, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_3', 'e_1',
% 0.69/1.12 'e_2' ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.69/1.12 ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 706, [ equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_1', 'e_1' ),
% 0.69/1.12 product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.69/1.12 , clause( 164, [ equalish( X, 'e_1' ), product( 'e_1', 'e_1', 'e_1' ), ~(
% 0.69/1.12 product( X, 'e_1', 'e_2' ) ) ] )
% 0.69/1.12 , 2, clause( 222, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_3', 'e_1',
% 0.69/1.12 'e_2' ) ] )
% 0.69/1.12 , 1, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 708, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1', 'e_1'
% 0.69/1.12 ) ] )
% 0.69/1.12 , clause( 7, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.69/1.12 , 0, clause( 706, [ equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_1', 'e_1'
% 0.69/1.12 ), product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.69/1.12 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 709, [ product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.69/1.12 , clause( 708, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1',
% 0.69/1.12 'e_1' ) ] )
% 0.69/1.12 , 0, 1, substitution( 0, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 224, [ product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.69/1.12 , clause( 709, [ product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 711, [ equalish( X, 'e_1' ), ~( product( 'e_1', X, 'e_1' ) ) ] )
% 0.69/1.12 , clause( 11, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.69/1.12 , Z ) ) ] )
% 0.69/1.12 , 2, clause( 224, [ product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.69/1.12 , 0, substitution( 0, [ :=( X, 'e_1' ), :=( Y, X ), :=( Z, 'e_1' ), :=( T,
% 0.69/1.12 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 226, [ equalish( X, 'e_1' ), ~( product( 'e_1', X, 'e_1' ) ) ] )
% 0.69/1.12 , clause( 711, [ equalish( X, 'e_1' ), ~( product( 'e_1', X, 'e_1' ) ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.69/1.12 1 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 713, [ equalish( X, 'e_1' ), ~( product( X, 'e_1', 'e_1' ) ) ] )
% 0.69/1.12 , clause( 12, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.69/1.12 , Z ) ) ] )
% 0.69/1.12 , 2, clause( 224, [ product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.69/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_1' ), :=( Z, 'e_1' ), :=( T,
% 0.69/1.12 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 228, [ equalish( X, 'e_1' ), ~( product( X, 'e_1', 'e_1' ) ) ] )
% 0.69/1.12 , clause( 713, [ equalish( X, 'e_1' ), ~( product( X, 'e_1', 'e_1' ) ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.69/1.12 1 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 714, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.69/1.12 ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.69/1.12 , clause( 4, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.69/1.12 , 0, clause( 210, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3'
% 0.69/1.12 ), product( 'e_1', 'e_3', 'e_1' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.69/1.12 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 229, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.69/1.12 ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.69/1.12 , clause( 714, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_3',
% 0.69/1.12 'e_1' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.69/1.12 , 2 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 720, [ equalish( X, 'e_2' ), ~( product( 'e_2', 'e_2', X ) ),
% 0.69/1.12 product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , clause( 10, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y
% 0.69/1.12 , T ) ) ] )
% 0.69/1.12 , 2, clause( 229, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_3',
% 0.69/1.12 'e_1' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.69/1.12 , 2, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_2' ), :=( Z, X ), :=( T,
% 0.69/1.12 'e_2' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 232, [ product( 'e_2', 'e_2', 'e_1' ), equalish( X, 'e_2' ),
% 0.69/1.12 product( 'e_1', 'e_3', 'e_1' ), ~( product( 'e_2', 'e_2', X ) ) ] )
% 0.69/1.12 , clause( 720, [ equalish( X, 'e_2' ), ~( product( 'e_2', 'e_2', X ) ),
% 0.69/1.12 product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.69/1.12 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 721, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.69/1.12 ), product( 'e_1', 'e_3', 'e_2' ), product( 'e_1', 'e_3', 'e_1' ),
% 0.69/1.12 product( 'e_3', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , clause( 65, [ product( 'e_1', 'e_3', 'e_1' ), product( X, 'e_3', 'e_1' )
% 0.69/1.12 , product( 'e_1', 'e_3', 'e_2' ), ~( product( 'e_3', 'e_1', X ) ) ] )
% 0.69/1.12 , 3, clause( 207, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_2',
% 0.69/1.12 'e_1' ), product( 'e_2', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ]
% 0.69/1.12 )
% 0.69/1.12 , 3, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 722, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.69/1.12 ), product( 'e_1', 'e_3', 'e_2' ), product( 'e_3', 'e_2', 'e_1' ),
% 0.69/1.12 product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , clause( 721, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_2', 'e_3',
% 0.69/1.12 'e_1' ), product( 'e_1', 'e_3', 'e_2' ), product( 'e_1', 'e_3', 'e_1' ),
% 0.69/1.12 product( 'e_3', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , 0, 3, substitution( 0, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 723, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.69/1.12 ), product( 'e_1', 'e_3', 'e_2' ), product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.69/1.12 , clause( 722, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_2', 'e_3',
% 0.69/1.12 'e_1' ), product( 'e_1', 'e_3', 'e_2' ), product( 'e_3', 'e_2', 'e_1' ),
% 0.69/1.12 product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , 1, 4, substitution( 0, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 249, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.69/1.12 ), product( 'e_2', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , clause( 723, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_2', 'e_3',
% 0.69/1.12 'e_1' ), product( 'e_1', 'e_3', 'e_2' ), product( 'e_3', 'e_2', 'e_1' ) ]
% 0.69/1.12 )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2
% 0.69/1.12 , 3 ), ==>( 3, 0 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 724, [ product( 'e_3', 'e_2', 'e_1' ), equalish( 'e_1', 'e_2' ),
% 0.69/1.12 product( 'e_2', 'e_3', 'e_1' ), product( 'e_3', 'e_2', 'e_1' ), product(
% 0.69/1.12 'e_1', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , clause( 199, [ product( 'e_3', 'e_2', 'e_1' ), equalish( X, 'e_2' ),
% 0.69/1.12 product( 'e_2', 'e_3', 'e_1' ), ~( product( X, 'e_3', 'e_2' ) ) ] )
% 0.69/1.12 , 3, clause( 249, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_1', 'e_3',
% 0.69/1.12 'e_1' ), product( 'e_2', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ]
% 0.69/1.12 )
% 0.69/1.12 , 3, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 725, [ product( 'e_3', 'e_2', 'e_1' ), equalish( 'e_1', 'e_2' ),
% 0.69/1.12 product( 'e_2', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ), product(
% 0.69/1.12 'e_2', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , clause( 724, [ product( 'e_3', 'e_2', 'e_1' ), equalish( 'e_1', 'e_2' ),
% 0.69/1.12 product( 'e_2', 'e_3', 'e_1' ), product( 'e_3', 'e_2', 'e_1' ), product(
% 0.69/1.12 'e_1', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , 0, 3, substitution( 0, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 726, [ product( 'e_3', 'e_2', 'e_1' ), equalish( 'e_1', 'e_2' ),
% 0.69/1.12 product( 'e_2', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , clause( 725, [ product( 'e_3', 'e_2', 'e_1' ), equalish( 'e_1', 'e_2' ),
% 0.69/1.12 product( 'e_2', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ), product(
% 0.69/1.12 'e_2', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , 2, 4, substitution( 0, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 727, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.69/1.12 ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , clause( 3, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.69/1.12 , 0, clause( 726, [ product( 'e_3', 'e_2', 'e_1' ), equalish( 'e_1', 'e_2'
% 0.69/1.12 ), product( 'e_2', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 254, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.69/1.12 ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , clause( 727, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_2', 'e_3',
% 0.69/1.12 'e_1' ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2
% 0.69/1.12 , 1 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 733, [ equalish( X, 'e_1' ), ~( product( 'e_2', 'e_3', X ) ),
% 0.69/1.12 product( 'e_3', 'e_2', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , clause( 10, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y
% 0.69/1.12 , T ) ) ] )
% 0.69/1.12 , 2, clause( 254, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_1', 'e_3',
% 0.69/1.12 'e_1' ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , 2, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_3' ), :=( Z, X ), :=( T,
% 0.69/1.12 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 258, [ product( 'e_3', 'e_2', 'e_1' ), equalish( X, 'e_1' ),
% 0.69/1.12 product( 'e_1', 'e_3', 'e_1' ), ~( product( 'e_2', 'e_3', X ) ) ] )
% 0.69/1.12 , clause( 733, [ equalish( X, 'e_1' ), ~( product( 'e_2', 'e_3', X ) ),
% 0.69/1.12 product( 'e_3', 'e_2', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.69/1.12 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 734, [ product( 'e_3', 'e_2', 'e_1' ), equalish( 'e_3', 'e_1' ),
% 0.69/1.12 product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ), product(
% 0.69/1.12 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , clause( 258, [ product( 'e_3', 'e_2', 'e_1' ), equalish( X, 'e_1' ),
% 0.69/1.12 product( 'e_1', 'e_3', 'e_1' ), ~( product( 'e_2', 'e_3', X ) ) ] )
% 0.69/1.12 , 3, clause( 208, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_1',
% 0.69/1.12 'e_1' ), product( 'e_3', 'e_1', 'e_2' ), product( 'e_2', 'e_3', 'e_3' ) ]
% 0.69/1.12 )
% 0.69/1.12 , 3, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 735, [ product( 'e_3', 'e_2', 'e_1' ), equalish( 'e_3', 'e_1' ),
% 0.69/1.12 product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_1' ), product(
% 0.69/1.12 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , clause( 734, [ product( 'e_3', 'e_2', 'e_1' ), equalish( 'e_3', 'e_1' ),
% 0.69/1.12 product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ), product(
% 0.69/1.12 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , 2, 3, substitution( 0, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 738, [ equalish( 'e_3', 'e_1' ), product( 'e_3', 'e_2', 'e_1' ),
% 0.69/1.12 equalish( 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_1' ), product( 'e_3'
% 0.69/1.12 , 'e_1', 'e_2' ) ] )
% 0.69/1.12 , clause( 226, [ equalish( X, 'e_1' ), ~( product( 'e_1', X, 'e_1' ) ) ] )
% 0.69/1.12 , 1, clause( 735, [ product( 'e_3', 'e_2', 'e_1' ), equalish( 'e_3', 'e_1'
% 0.69/1.12 ), product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_1' ),
% 0.69/1.12 product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , 2, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 739, [ equalish( 'e_3', 'e_1' ), product( 'e_3', 'e_2', 'e_1' ),
% 0.69/1.12 product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , clause( 738, [ equalish( 'e_3', 'e_1' ), product( 'e_3', 'e_2', 'e_1' ),
% 0.69/1.12 equalish( 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_1' ), product( 'e_3'
% 0.69/1.12 , 'e_1', 'e_2' ) ] )
% 0.69/1.12 , 0, 2, substitution( 0, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 277, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_2', 'e_1'
% 0.69/1.12 ), equalish( 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , clause( 739, [ equalish( 'e_3', 'e_1' ), product( 'e_3', 'e_2', 'e_1' ),
% 0.69/1.12 product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 1 ), ==>( 2
% 0.69/1.12 , 0 ), ==>( 3, 3 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 740, [ equalish( 'e_3', 'e_1' ), product( 'e_3', 'e_2', 'e_1' ),
% 0.69/1.12 equalish( 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , clause( 228, [ equalish( X, 'e_1' ), ~( product( X, 'e_1', 'e_1' ) ) ] )
% 0.69/1.12 , 1, clause( 277, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_2',
% 0.69/1.12 'e_1' ), equalish( 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , 0, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 741, [ equalish( 'e_3', 'e_1' ), product( 'e_3', 'e_2', 'e_1' ),
% 0.69/1.12 product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , clause( 740, [ equalish( 'e_3', 'e_1' ), product( 'e_3', 'e_2', 'e_1' ),
% 0.69/1.12 equalish( 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , 0, 2, substitution( 0, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 742, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.69/1.12 ) ] )
% 0.69/1.12 , clause( 7, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.69/1.12 , 0, clause( 741, [ equalish( 'e_3', 'e_1' ), product( 'e_3', 'e_2', 'e_1'
% 0.69/1.12 ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 282, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.69/1.12 ) ] )
% 0.69/1.12 , clause( 742, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_1',
% 0.69/1.12 'e_2' ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.69/1.12 ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 746, [ equalish( X, 'e_1' ), ~( product( 'e_3', X, 'e_2' ) ),
% 0.69/1.12 product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.69/1.12 , clause( 11, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.69/1.12 , Z ) ) ] )
% 0.69/1.12 , 2, clause( 282, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_1',
% 0.69/1.12 'e_2' ) ] )
% 0.69/1.12 , 1, substitution( 0, [ :=( X, 'e_3' ), :=( Y, X ), :=( Z, 'e_2' ), :=( T,
% 0.69/1.12 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 284, [ equalish( X, 'e_1' ), product( 'e_3', 'e_2', 'e_1' ), ~(
% 0.69/1.12 product( 'e_3', X, 'e_2' ) ) ] )
% 0.69/1.12 , clause( 746, [ equalish( X, 'e_1' ), ~( product( 'e_3', X, 'e_2' ) ),
% 0.69/1.12 product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.69/1.12 2 ), ==>( 2, 1 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 748, [ product( 'e_3', 'e_2', 'e_1' ), equalish( 'e_3', 'e_2' ),
% 0.69/1.12 product( 'e_2', 'e_3', 'e_1' ), product( 'e_3', 'e_2', 'e_1' ), product(
% 0.69/1.12 'e_2', 'e_3', 'e_1' ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.69/1.12 , clause( 198, [ product( 'e_3', 'e_2', 'e_1' ), equalish( X, 'e_2' ),
% 0.69/1.12 product( 'e_2', 'e_3', 'e_1' ), ~( product( 'e_2', 'e_3', X ) ) ] )
% 0.69/1.12 , 3, clause( 194, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_2', 'e_3',
% 0.69/1.12 'e_1' ), product( 'e_3', 'e_2', 'e_2' ), product( 'e_2', 'e_3', 'e_3' ) ]
% 0.69/1.12 )
% 0.69/1.12 , 3, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 749, [ product( 'e_3', 'e_2', 'e_1' ), equalish( 'e_3', 'e_2' ),
% 0.69/1.12 product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_1' ), product(
% 0.69/1.12 'e_3', 'e_2', 'e_2' ) ] )
% 0.69/1.12 , clause( 748, [ product( 'e_3', 'e_2', 'e_1' ), equalish( 'e_3', 'e_2' ),
% 0.69/1.12 product( 'e_2', 'e_3', 'e_1' ), product( 'e_3', 'e_2', 'e_1' ), product(
% 0.69/1.12 'e_2', 'e_3', 'e_1' ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.69/1.12 , 0, 3, substitution( 0, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 750, [ product( 'e_3', 'e_2', 'e_1' ), equalish( 'e_3', 'e_2' ),
% 0.69/1.12 product( 'e_2', 'e_3', 'e_1' ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.69/1.12 , clause( 749, [ product( 'e_3', 'e_2', 'e_1' ), equalish( 'e_3', 'e_2' ),
% 0.69/1.12 product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_1' ), product(
% 0.69/1.12 'e_3', 'e_2', 'e_2' ) ] )
% 0.69/1.12 , 2, 3, substitution( 0, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 752, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.69/1.12 ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.69/1.12 , clause( 8, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.69/1.12 , 0, clause( 750, [ product( 'e_3', 'e_2', 'e_1' ), equalish( 'e_3', 'e_2'
% 0.69/1.12 ), product( 'e_2', 'e_3', 'e_1' ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.69/1.12 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 298, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.69/1.12 ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.69/1.12 , clause( 752, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_2', 'e_3',
% 0.69/1.12 'e_1' ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.69/1.12 , 2 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 753, [ equalish( 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_1' ),
% 0.69/1.12 product( 'e_3', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , clause( 284, [ equalish( X, 'e_1' ), product( 'e_3', 'e_2', 'e_1' ), ~(
% 0.69/1.12 product( 'e_3', X, 'e_2' ) ) ] )
% 0.69/1.12 , 2, clause( 298, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_2', 'e_3',
% 0.69/1.12 'e_1' ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.69/1.12 , 2, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 755, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_1'
% 0.69/1.12 ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , clause( 5, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.69/1.12 , 0, clause( 753, [ equalish( 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_1'
% 0.69/1.12 ), product( 'e_3', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 756, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.69/1.12 ) ] )
% 0.69/1.12 , clause( 755, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2',
% 0.69/1.12 'e_1' ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , 0, 1, substitution( 0, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 299, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.69/1.12 ) ] )
% 0.69/1.12 , clause( 756, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_2', 'e_3',
% 0.69/1.12 'e_1' ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.69/1.12 ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 760, [ equalish( X, 'e_2' ), ~( product( X, 'e_3', 'e_1' ) ),
% 0.69/1.12 product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.69/1.12 , clause( 12, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.69/1.12 , Z ) ) ] )
% 0.69/1.12 , 2, clause( 299, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_2', 'e_3',
% 0.69/1.12 'e_1' ) ] )
% 0.69/1.12 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'e_3' ), :=( Z, 'e_1' ), :=( T,
% 0.69/1.12 'e_2' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 304, [ equalish( X, 'e_2' ), product( 'e_3', 'e_2', 'e_1' ), ~(
% 0.69/1.12 product( X, 'e_3', 'e_1' ) ) ] )
% 0.69/1.12 , clause( 760, [ equalish( X, 'e_2' ), ~( product( X, 'e_3', 'e_1' ) ),
% 0.69/1.12 product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.69/1.12 2 ), ==>( 2, 1 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 761, [ product( 'e_1', 'e_3', 'e_1' ), equalish( 'e_3', 'e_1' ),
% 0.69/1.12 product( 'e_3', 'e_1', 'e_2' ), product( 'e_3', 'e_3', 'e_1' ), product(
% 0.69/1.12 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , clause( 214, [ product( 'e_1', 'e_3', 'e_1' ), equalish( X, 'e_1' ),
% 0.69/1.12 product( 'e_3', 'e_1', 'e_2' ), ~( product( X, 'e_3', 'e_2' ) ) ] )
% 0.69/1.12 , 3, clause( 131, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_1',
% 0.69/1.12 'e_1' ), product( 'e_3', 'e_1', 'e_2' ), product( 'e_3', 'e_3', 'e_2' ) ]
% 0.69/1.12 )
% 0.69/1.12 , 3, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 763, [ equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ),
% 0.69/1.12 equalish( 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ), product( 'e_3'
% 0.69/1.12 , 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , clause( 228, [ equalish( X, 'e_1' ), ~( product( X, 'e_1', 'e_1' ) ) ] )
% 0.69/1.12 , 1, clause( 761, [ product( 'e_1', 'e_3', 'e_1' ), equalish( 'e_3', 'e_1'
% 0.69/1.12 ), product( 'e_3', 'e_1', 'e_2' ), product( 'e_3', 'e_3', 'e_1' ),
% 0.69/1.12 product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , 4, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 765, [ equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ),
% 0.69/1.12 equalish( 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ), product( 'e_3'
% 0.69/1.12 , 'e_3', 'e_1' ) ] )
% 0.69/1.12 , clause( 763, [ equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ),
% 0.69/1.12 equalish( 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ), product( 'e_3'
% 0.69/1.12 , 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , 3, 5, substitution( 0, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 766, [ equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ),
% 0.69/1.12 product( 'e_3', 'e_1', 'e_2' ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , clause( 765, [ equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ),
% 0.69/1.12 equalish( 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ), product( 'e_3'
% 0.69/1.12 , 'e_3', 'e_1' ) ] )
% 0.69/1.12 , 0, 2, substitution( 0, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 331, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.69/1.12 ), equalish( 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , clause( 766, [ equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ),
% 0.69/1.12 product( 'e_3', 'e_1', 'e_2' ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 1 ), ==>( 2
% 0.69/1.12 , 3 ), ==>( 3, 0 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 767, [ equalish( 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_1' ),
% 0.69/1.12 equalish( 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , clause( 226, [ equalish( X, 'e_1' ), ~( product( 'e_1', X, 'e_1' ) ) ] )
% 0.69/1.12 , 1, clause( 331, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_1', 'e_3',
% 0.69/1.12 'e_1' ), equalish( 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , 1, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 768, [ equalish( 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_1' ),
% 0.69/1.12 product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , clause( 767, [ equalish( 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_1' ),
% 0.69/1.12 equalish( 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , 0, 2, substitution( 0, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 769, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.69/1.12 ) ] )
% 0.69/1.12 , clause( 7, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.69/1.12 , 0, clause( 768, [ equalish( 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_1'
% 0.69/1.12 ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.12 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 337, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.69/1.12 ) ] )
% 0.69/1.12 , clause( 769, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_1',
% 0.69/1.12 'e_2' ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.69/1.12 ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 773, [ ~( product( 'e_1', 'e_3', X ) ), product( X, 'e_2', 'e_3' )
% 0.69/1.12 , product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , clause( 13, [ ~( product( X, Y, Z ) ), product( Z, T, Y ), ~( product( Y
% 0.69/1.12 , X, T ) ) ] )
% 0.69/1.12 , 2, clause( 337, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_1',
% 0.69/1.12 'e_2' ) ] )
% 0.69/1.12 , 1, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_3' ), :=( Z, X ), :=( T,
% 0.69/1.12 'e_2' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 340, [ product( 'e_3', 'e_3', 'e_1' ), product( X, 'e_2', 'e_3' ),
% 0.69/1.12 ~( product( 'e_1', 'e_3', X ) ) ] )
% 0.69/1.12 , clause( 773, [ ~( product( 'e_1', 'e_3', X ) ), product( X, 'e_2', 'e_3'
% 0.69/1.12 ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.69/1.12 1 ), ==>( 2, 0 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 777, [ equalish( X, 'e_1' ), ~( product( 'e_3', X, 'e_2' ) ),
% 0.69/1.12 product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , clause( 11, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.69/1.12 , Z ) ) ] )
% 0.69/1.12 , 2, clause( 337, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_1',
% 0.69/1.12 'e_2' ) ] )
% 0.69/1.12 , 1, substitution( 0, [ :=( X, 'e_3' ), :=( Y, X ), :=( Z, 'e_2' ), :=( T,
% 0.69/1.12 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 341, [ equalish( X, 'e_1' ), product( 'e_3', 'e_3', 'e_1' ), ~(
% 0.69/1.12 product( 'e_3', X, 'e_2' ) ) ] )
% 0.69/1.12 , clause( 777, [ equalish( X, 'e_1' ), ~( product( 'e_3', X, 'e_2' ) ),
% 0.69/1.12 product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.69/1.12 2 ), ==>( 2, 1 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 779, [ equalish( 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_1' ),
% 0.69/1.12 product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_2', 'e_1' ), product(
% 0.69/1.12 'e_3', 'e_2', 'e_2' ) ] )
% 0.69/1.12 , clause( 341, [ equalish( X, 'e_1' ), product( 'e_3', 'e_3', 'e_1' ), ~(
% 0.69/1.12 product( 'e_3', X, 'e_2' ) ) ] )
% 0.69/1.12 , 2, clause( 132, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_2',
% 0.69/1.12 'e_1' ), product( 'e_3', 'e_2', 'e_2' ), product( 'e_3', 'e_3', 'e_2' ) ]
% 0.69/1.12 )
% 0.69/1.12 , 3, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 782, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_1'
% 0.69/1.12 ), product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.69/1.12 , clause( 7, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.69/1.12 , 0, clause( 779, [ equalish( 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_1'
% 0.69/1.12 ), product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_2', 'e_1' ),
% 0.69/1.12 product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.69/1.12 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 783, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_2', 'e_1'
% 0.69/1.12 ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.69/1.12 , clause( 782, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_3',
% 0.69/1.12 'e_1' ), product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_2' ) ]
% 0.69/1.12 )
% 0.69/1.12 , 0, 1, substitution( 0, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 344, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_3', 'e_1'
% 0.69/1.12 ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.69/1.12 , clause( 783, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_2',
% 0.69/1.12 'e_1' ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.69/1.12 , 2 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 784, [ equalish( 'e_2', 'e_1' ), product( 'e_3', 'e_3', 'e_1' ),
% 0.69/1.12 product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , clause( 341, [ equalish( X, 'e_1' ), product( 'e_3', 'e_3', 'e_1' ), ~(
% 0.69/1.12 product( 'e_3', X, 'e_2' ) ) ] )
% 0.69/1.12 , 2, clause( 344, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_3',
% 0.69/1.12 'e_1' ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.69/1.12 , 2, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 786, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_2', 'e_1'
% 0.69/1.12 ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , clause( 5, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.69/1.12 , 0, clause( 784, [ equalish( 'e_2', 'e_1' ), product( 'e_3', 'e_3', 'e_1'
% 0.69/1.12 ), product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 787, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_2', 'e_1'
% 0.69/1.12 ) ] )
% 0.69/1.12 , clause( 786, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_2',
% 0.69/1.12 'e_1' ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , 0, 2, substitution( 0, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 345, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_3', 'e_1'
% 0.69/1.12 ) ] )
% 0.69/1.12 , clause( 787, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_2',
% 0.69/1.12 'e_1' ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.69/1.12 ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 788, [ equalish( 'e_3', 'e_2' ), product( 'e_3', 'e_2', 'e_1' ),
% 0.69/1.12 product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.69/1.12 , clause( 304, [ equalish( X, 'e_2' ), product( 'e_3', 'e_2', 'e_1' ), ~(
% 0.69/1.12 product( X, 'e_3', 'e_1' ) ) ] )
% 0.69/1.12 , 2, clause( 345, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_3',
% 0.69/1.12 'e_1' ) ] )
% 0.69/1.12 , 1, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 790, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_1'
% 0.69/1.12 ) ] )
% 0.69/1.12 , clause( 8, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.69/1.12 , 0, clause( 788, [ equalish( 'e_3', 'e_2' ), product( 'e_3', 'e_2', 'e_1'
% 0.69/1.12 ), product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.69/1.12 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 791, [ product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.69/1.12 , clause( 790, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2',
% 0.69/1.12 'e_1' ) ] )
% 0.69/1.12 , 0, 1, substitution( 0, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 348, [ product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.69/1.12 , clause( 791, [ product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 793, [ equalish( X, 'e_2' ), ~( product( 'e_3', X, 'e_1' ) ) ] )
% 0.69/1.12 , clause( 11, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.69/1.12 , Z ) ) ] )
% 0.69/1.12 , 2, clause( 348, [ product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.69/1.12 , 0, substitution( 0, [ :=( X, 'e_3' ), :=( Y, X ), :=( Z, 'e_1' ), :=( T,
% 0.69/1.12 'e_2' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 351, [ equalish( X, 'e_2' ), ~( product( 'e_3', X, 'e_1' ) ) ] )
% 0.69/1.12 , clause( 793, [ equalish( X, 'e_2' ), ~( product( 'e_3', X, 'e_1' ) ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.69/1.12 1 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 795, [ equalish( X, 'e_3' ), ~( product( X, 'e_2', 'e_1' ) ) ] )
% 0.69/1.12 , clause( 12, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.69/1.12 , Z ) ) ] )
% 0.69/1.12 , 2, clause( 348, [ product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.69/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_2' ), :=( Z, 'e_1' ), :=( T,
% 0.69/1.12 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 353, [ equalish( X, 'e_3' ), ~( product( X, 'e_2', 'e_1' ) ) ] )
% 0.69/1.12 , clause( 795, [ equalish( X, 'e_3' ), ~( product( X, 'e_2', 'e_1' ) ) ] )
% 0.69/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.69/1.12 1 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 797, [ product( 'e_2', 'e_2', 'e_3' ), product( 'e_3', 'e_3', 'e_1'
% 0.69/1.12 ), product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.12 , clause( 18, [ product( Y, Y, X ), ~( product( X, X, Y ) ) ] )
% 0.69/1.12 , 1, clause( 134, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_1', 'e_3',
% 0.69/1.12 'e_1' ), product( 'e_1', 'e_3', 'e_2' ), product( 'e_3', 'e_3', 'e_2' ) ]
% 0.69/1.12 )
% 0.69/1.12 , 3, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_2' )] ), substitution( 1
% 0.69/1.12 , [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 801, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_2', 'e_2', 'e_3'
% 0.69/1.12 ), product( 'e_2', 'e_2', 'e_3' ), product( 'e_3', 'e_3', 'e_1' ),
% 0.69/1.12 product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , clause( 340, [ product( 'e_3', 'e_3', 'e_1' ), product( X, 'e_2', 'e_3' )
% 0.69/1.12 , ~( product( 'e_1', 'e_3', X ) ) ] )
% 0.69/1.12 , 2, clause( 797, [ product( 'e_2', 'e_2', 'e_3' ), product( 'e_3', 'e_3',
% 0.69/1.12 'e_1' ), product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ]
% 0.69/1.12 )
% 0.69/1.12 , 3, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 803, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_2', 'e_2', 'e_3'
% 0.69/1.12 ), product( 'e_2', 'e_2', 'e_3' ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , clause( 801, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.12 'e_3' ), product( 'e_2', 'e_2', 'e_3' ), product( 'e_3', 'e_3', 'e_1' ),
% 0.69/1.12 product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , 0, 3, substitution( 0, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 804, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_2', 'e_2', 'e_3'
% 0.69/1.12 ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , clause( 803, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.12 'e_3' ), product( 'e_2', 'e_2', 'e_3' ), product( 'e_1', 'e_3', 'e_1' ) ]
% 0.69/1.12 )
% 0.69/1.12 , 1, 2, substitution( 0, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 362, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_1'
% 0.69/1.12 ), product( 'e_2', 'e_2', 'e_3' ) ] )
% 0.69/1.12 , clause( 804, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.12 'e_3' ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2
% 0.69/1.12 , 0 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 805, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_3', 'e_2' ),
% 0.69/1.12 product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ), product(
% 0.69/1.12 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , clause( 232, [ product( 'e_2', 'e_2', 'e_1' ), equalish( X, 'e_2' ),
% 0.69/1.12 product( 'e_1', 'e_3', 'e_1' ), ~( product( 'e_2', 'e_2', X ) ) ] )
% 0.69/1.12 , 3, clause( 362, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_3',
% 0.69/1.12 'e_1' ), product( 'e_2', 'e_2', 'e_3' ) ] )
% 0.69/1.12 , 2, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 807, [ equalish( 'e_3', 'e_2' ), product( 'e_2', 'e_2', 'e_1' ),
% 0.69/1.12 equalish( 'e_3', 'e_2' ), product( 'e_1', 'e_3', 'e_1' ), product( 'e_1'
% 0.69/1.12 , 'e_3', 'e_1' ) ] )
% 0.69/1.12 , clause( 351, [ equalish( X, 'e_2' ), ~( product( 'e_3', X, 'e_1' ) ) ] )
% 0.69/1.12 , 1, clause( 805, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_3', 'e_2'
% 0.69/1.12 ), product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ),
% 0.69/1.12 product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , 4, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 809, [ equalish( 'e_3', 'e_2' ), product( 'e_2', 'e_2', 'e_1' ),
% 0.69/1.12 equalish( 'e_3', 'e_2' ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , clause( 807, [ equalish( 'e_3', 'e_2' ), product( 'e_2', 'e_2', 'e_1' ),
% 0.69/1.12 equalish( 'e_3', 'e_2' ), product( 'e_1', 'e_3', 'e_1' ), product( 'e_1'
% 0.69/1.12 , 'e_3', 'e_1' ) ] )
% 0.69/1.12 , 3, 4, substitution( 0, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 factor(
% 0.69/1.12 clause( 810, [ equalish( 'e_3', 'e_2' ), product( 'e_2', 'e_2', 'e_1' ),
% 0.69/1.12 product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , clause( 809, [ equalish( 'e_3', 'e_2' ), product( 'e_2', 'e_2', 'e_1' ),
% 0.69/1.12 equalish( 'e_3', 'e_2' ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , 0, 2, substitution( 0, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 372, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_3', 'e_2' ),
% 0.69/1.12 product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , clause( 810, [ equalish( 'e_3', 'e_2' ), product( 'e_2', 'e_2', 'e_1' ),
% 0.69/1.12 product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.69/1.12 , 2 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 811, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.69/1.12 ) ] )
% 0.69/1.12 , clause( 8, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.69/1.12 , 0, clause( 372, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_3', 'e_2'
% 0.69/1.12 ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.69/1.12 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 380, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.69/1.12 ) ] )
% 0.69/1.12 , clause( 811, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_3',
% 0.69/1.12 'e_1' ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.69/1.12 ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 812, [ equalish( 'e_3', 'e_1' ), product( 'e_2', 'e_2', 'e_1' ) ]
% 0.69/1.12 )
% 0.69/1.12 , clause( 226, [ equalish( X, 'e_1' ), ~( product( 'e_1', X, 'e_1' ) ) ] )
% 0.69/1.12 , 1, clause( 380, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_3',
% 0.69/1.12 'e_1' ) ] )
% 0.69/1.12 , 1, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 813, [ product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.12 , clause( 7, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.69/1.12 , 0, clause( 812, [ equalish( 'e_3', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.12 ) ] )
% 0.69/1.12 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 387, [ product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.12 , clause( 813, [ product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 814, [ equalish( 'e_2', 'e_3' ) ] )
% 0.69/1.12 , clause( 353, [ equalish( X, 'e_3' ), ~( product( X, 'e_2', 'e_1' ) ) ] )
% 0.69/1.12 , 1, clause( 387, [ product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.12 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 resolution(
% 0.69/1.12 clause( 815, [] )
% 0.69/1.12 , clause( 6, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.69/1.12 , 0, clause( 814, [ equalish( 'e_2', 'e_3' ) ] )
% 0.69/1.12 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 subsumption(
% 0.69/1.12 clause( 388, [] )
% 0.69/1.12 , clause( 815, [] )
% 0.69/1.12 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 end.
% 0.69/1.12
% 0.69/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.12
% 0.69/1.12 Memory use:
% 0.69/1.12
% 0.69/1.12 space for terms: 6196
% 0.69/1.12 space for clauses: 17600
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 clauses generated: 1554
% 0.69/1.12 clauses kept: 389
% 0.69/1.12 clauses selected: 214
% 0.69/1.12 clauses deleted: 49
% 0.69/1.12 clauses inuse deleted: 0
% 0.69/1.12
% 0.69/1.12 subsentry: 6135
% 0.69/1.12 literals s-matched: 3133
% 0.69/1.12 literals matched: 2354
% 0.69/1.12 full subsumption: 353
% 0.69/1.12
% 0.69/1.12 checksum: -939709546
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 Bliksem ended
%------------------------------------------------------------------------------