TSTP Solution File: GRP133-1.003 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP133-1.003 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.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 07:35:28 EDT 2022
% Result : Unsatisfiable 0.69s 1.06s
% Output : Refutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP133-1.003 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Tue Jun 14 12:14:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.69/1.06 *** allocated 10000 integers for termspace/termends
% 0.69/1.06 *** allocated 10000 integers for clauses
% 0.69/1.06 *** allocated 10000 integers for justifications
% 0.69/1.06 Bliksem 1.12
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 Automatic Strategy Selection
% 0.69/1.06
% 0.69/1.06 Clauses:
% 0.69/1.06 [
% 0.69/1.06 [ 'group_element'( 'e_1' ) ],
% 0.69/1.06 [ 'group_element'( 'e_2' ) ],
% 0.69/1.06 [ 'group_element'( 'e_3' ) ],
% 0.69/1.06 [ ~( equalish( 'e_1', 'e_2' ) ) ],
% 0.69/1.06 [ ~( equalish( 'e_1', 'e_3' ) ) ],
% 0.69/1.06 [ ~( equalish( 'e_2', 'e_1' ) ) ],
% 0.69/1.06 [ ~( equalish( 'e_2', 'e_3' ) ) ],
% 0.69/1.06 [ ~( equalish( 'e_3', 'e_1' ) ) ],
% 0.69/1.06 [ ~( equalish( 'e_3', 'e_2' ) ) ],
% 0.69/1.06 [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ), product( X, Y,
% 0.69/1.06 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ) ],
% 0.69/1.06 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish( Z, T ) ]
% 0.69/1.06 ,
% 0.69/1.06 [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish( Y, T ) ]
% 0.69/1.06 ,
% 0.69/1.06 [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish( X, T ) ]
% 0.69/1.06 ,
% 0.69/1.06 [ ~( product( X, Y, Z ) ), ~( product( Y, X, T ) ), product( Z, T, X ) ]
% 0.69/1.06
% 0.69/1.06 ] .
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 percentage equality = 0.000000, percentage horn = 0.928571
% 0.69/1.06 This is a near-Horn, non-equality problem
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 Options Used:
% 0.69/1.06
% 0.69/1.06 useres = 1
% 0.69/1.06 useparamod = 0
% 0.69/1.06 useeqrefl = 0
% 0.69/1.06 useeqfact = 0
% 0.69/1.06 usefactor = 1
% 0.69/1.06 usesimpsplitting = 0
% 0.69/1.06 usesimpdemod = 0
% 0.69/1.06 usesimpres = 4
% 0.69/1.06
% 0.69/1.06 resimpinuse = 1000
% 0.69/1.06 resimpclauses = 20000
% 0.69/1.06 substype = standard
% 0.69/1.06 backwardsubs = 1
% 0.69/1.06 selectoldest = 5
% 0.69/1.06
% 0.69/1.06 litorderings [0] = split
% 0.69/1.06 litorderings [1] = liftord
% 0.69/1.06
% 0.69/1.06 termordering = none
% 0.69/1.06
% 0.69/1.06 litapriori = 1
% 0.69/1.06 termapriori = 0
% 0.69/1.06 litaposteriori = 0
% 0.69/1.06 termaposteriori = 0
% 0.69/1.06 demodaposteriori = 0
% 0.69/1.06 ordereqreflfact = 0
% 0.69/1.06
% 0.69/1.06 litselect = negative
% 0.69/1.06
% 0.69/1.06 maxweight = 30000
% 0.69/1.06 maxdepth = 30000
% 0.69/1.06 maxlength = 115
% 0.69/1.06 maxnrvars = 195
% 0.69/1.06 excuselevel = 0
% 0.69/1.06 increasemaxweight = 0
% 0.69/1.06
% 0.69/1.06 maxselected = 10000000
% 0.69/1.06 maxnrclauses = 10000000
% 0.69/1.06
% 0.69/1.06 showgenerated = 0
% 0.69/1.06 showkept = 0
% 0.69/1.06 showselected = 0
% 0.69/1.06 showdeleted = 0
% 0.69/1.06 showresimp = 1
% 0.69/1.06 showstatus = 2000
% 0.69/1.06
% 0.69/1.06 prologoutput = 1
% 0.69/1.06 nrgoals = 5000000
% 0.69/1.06 totalproof = 1
% 0.69/1.06
% 0.69/1.06 Symbols occurring in the translation:
% 0.69/1.06
% 0.69/1.06 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.69/1.06 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 0.69/1.06 ! [4, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.69/1.06 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.06 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.06 'e_1' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.69/1.06 'group_element' [40, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.69/1.06 'e_2' [41, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.69/1.06 'e_3' [42, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.69/1.06 equalish [43, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.69/1.06 product [46, 3] (w:1, o:50, a:1, s:1, b:0).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 Starting Search:
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 Bliksems!, er is een bewijs:
% 0.69/1.06 % SZS status Unsatisfiable
% 0.69/1.06 % SZS output start Refutation
% 0.69/1.06
% 0.69/1.06 clause( 0, [ 'group_element'( 'e_1' ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 1, [ 'group_element'( 'e_2' ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 2, [ 'group_element'( 'e_3' ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 3, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 4, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 5, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 6, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 7, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 8, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 9, [ ~( 'group_element'( X ) ), product( X, Y, 'e_3' ), product( X
% 0.69/1.06 , Y, 'e_1' ), product( X, Y, 'e_2' ), ~( 'group_element'( Y ) ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 10, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y,
% 0.69/1.06 T ) ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 11, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T,
% 0.69/1.06 Z ) ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 12, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y,
% 0.69/1.06 Z ) ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 13, [ ~( product( X, Y, Z ) ), product( Z, T, X ), ~( product( Y, X
% 0.69/1.06 , T ) ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 14, [ product( X, X, 'e_3' ), product( X, X, 'e_1' ), product( X, X
% 0.69/1.06 , 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 18, [ product( Y, Y, X ), ~( product( X, X, Y ) ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 19, [ product( X, 'e_1', 'e_3' ), product( X, 'e_1', 'e_1' ),
% 0.69/1.06 product( X, 'e_1', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 20, [ product( X, 'e_2', 'e_3' ), product( X, 'e_2', 'e_1' ),
% 0.69/1.06 product( X, 'e_2', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 21, [ product( X, 'e_3', 'e_3' ), product( X, 'e_3', 'e_1' ),
% 0.69/1.06 product( X, 'e_3', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 22, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1', 'e_2'
% 0.69/1.06 ), product( 'e_1', 'e_1', 'e_3' ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 23, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2'
% 0.69/1.06 ), product( 'e_2', 'e_1', 'e_3' ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 24, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.69/1.06 ), product( 'e_3', 'e_1', 'e_3' ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 29, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_3', 'e_3', 'e_1'
% 0.69/1.06 ), product( 'e_1', 'e_1', 'e_2' ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 32, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2'
% 0.69/1.06 ), product( 'e_2', 'e_2', 'e_3' ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 33, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_2'
% 0.69/1.06 ), product( 'e_3', 'e_3', 'e_3' ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 45, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_2'
% 0.69/1.06 ), product( 'e_1', 'e_2', 'e_3' ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 46, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_2'
% 0.69/1.06 ), product( 'e_3', 'e_2', 'e_3' ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 52, [ product( 'e_1', 'e_2', 'e_1' ), equalish( X, 'e_2' ), product(
% 0.69/1.06 'e_1', 'e_2', 'e_2' ), ~( product( 'e_1', X, 'e_3' ) ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 54, [ product( 'e_1', 'e_2', 'e_1' ), equalish( X, 'e_1' ), product(
% 0.69/1.06 'e_1', 'e_2', 'e_2' ), ~( product( X, 'e_2', 'e_3' ) ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 58, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2'
% 0.69/1.06 ), product( 'e_1', 'e_3', 'e_3' ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 59, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2'
% 0.69/1.06 ), product( 'e_2', 'e_3', 'e_3' ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 65, [ product( 'e_1', 'e_3', 'e_1' ), equalish( X, 'e_3' ), product(
% 0.69/1.06 'e_1', 'e_3', 'e_2' ), ~( product( 'e_1', X, 'e_3' ) ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 75, [ product( 'e_2', 'e_3', 'e_1' ), equalish( X, 'e_3' ), product(
% 0.69/1.06 'e_2', 'e_3', 'e_2' ), ~( product( 'e_2', X, 'e_3' ) ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 83, [ product( 'e_2', 'e_2', 'e_1' ), equalish( X, 'e_2' ), product(
% 0.69/1.06 'e_2', 'e_2', 'e_2' ), ~( product( 'e_2', X, 'e_3' ) ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 85, [ product( 'e_2', 'e_2', 'e_1' ), equalish( X, 'e_2' ), product(
% 0.69/1.06 'e_2', 'e_2', 'e_2' ), ~( product( X, 'e_2', 'e_3' ) ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 86, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2'
% 0.69/1.06 ), product( 'e_3', 'e_3', 'e_2' ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 88, [ product( 'e_2', 'e_2', 'e_1' ), equalish( X, 'e_3' ), product(
% 0.69/1.06 'e_2', 'e_2', 'e_2' ), ~( product( 'e_3', X, 'e_2' ) ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 90, [ product( 'e_2', 'e_2', 'e_1' ), equalish( X, 'e_3' ), product(
% 0.69/1.06 'e_2', 'e_2', 'e_2' ), ~( product( X, 'e_3', 'e_2' ) ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 94, [ product( 'e_3', 'e_1', 'e_1' ), equalish( X, 'e_3' ), product(
% 0.69/1.06 'e_3', 'e_1', 'e_2' ), ~( product( X, 'e_1', 'e_3' ) ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 98, [ product( 'e_3', 'e_3', 'e_1' ), equalish( X, 'e_3' ), product(
% 0.69/1.06 'e_3', 'e_3', 'e_2' ), ~( product( X, 'e_3', 'e_3' ) ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 101, [ product( 'e_1', 'e_1', 'e_1' ), equalish( X, 'e_2' ),
% 0.69/1.06 product( 'e_3', 'e_3', 'e_1' ), ~( product( 'e_1', 'e_1', X ) ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 103, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.06 ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 105, [ product( 'e_1', 'e_1', 'e_1' ), equalish( X, 'e_3' ),
% 0.69/1.06 product( 'e_2', 'e_2', 'e_1' ), ~( product( 'e_3', X, 'e_1' ) ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 107, [ product( 'e_1', 'e_1', 'e_1' ), equalish( X, 'e_3' ),
% 0.69/1.06 product( 'e_2', 'e_2', 'e_1' ), ~( product( X, 'e_3', 'e_1' ) ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 108, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.06 ), product( 'e_1', 'e_1', 'e_3' ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 129, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.69/1.06 ), product( 'e_1', 'e_2', 'e_2' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 130, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.69/1.06 ), product( 'e_2', 'e_3', 'e_2' ), product( 'e_3', 'e_3', 'e_2' ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 133, [ equalish( 'e_1', 'e_3' ), product( 'e_1', 'e_1', 'e_1' ),
% 0.69/1.06 product( 'e_2', 'e_2', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 134, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_1'
% 0.69/1.06 ), product( 'e_2', 'e_1', 'e_2' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 135, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.06 ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 136, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.06 ), product( X, 'e_2', 'e_1' ), ~( product( 'e_1', 'e_3', X ) ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 140, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.06 ), ~( product( 'e_1', 'e_3', 'e_2' ) ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 142, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_1'
% 0.69/1.06 ), product( 'e_1', 'e_2', 'e_2' ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 143, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.69/1.06 ), product( 'e_2', 'e_2', 'e_2' ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 145, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_1'
% 0.69/1.06 ), product( 'e_2', 'e_2', 'e_2' ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 149, [ equalish( 'e_1', 'e_3' ), product( 'e_1', 'e_1', 'e_1' ),
% 0.69/1.06 product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 150, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.06 ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 154, [ equalish( X, 'e_2' ), product( 'e_1', 'e_1', 'e_1' ), ~(
% 0.69/1.06 product( X, 'e_2', 'e_1' ) ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 155, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1', 'e_2'
% 0.69/1.06 ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 159, [ equalish( X, 'e_1' ), product( 'e_1', 'e_1', 'e_1' ), ~(
% 0.69/1.06 product( X, 'e_1', 'e_2' ) ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 172, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_1'
% 0.69/1.06 ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 178, [ product( 'e_2', 'e_2', 'e_1' ), equalish( X, 'e_2' ),
% 0.69/1.06 product( 'e_3', 'e_2', 'e_1' ), ~( product( X, 'e_2', 'e_2' ) ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 181, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.69/1.06 ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 183, [ product( 'e_2', 'e_2', 'e_1' ), equalish( X, 'e_2' ),
% 0.69/1.06 product( 'e_2', 'e_3', 'e_1' ), ~( product( 'e_2', X, 'e_2' ) ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 209, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_1'
% 0.69/1.06 ), product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 216, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.06 ), product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 222, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_1'
% 0.69/1.06 ), product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 228, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_1', 'e_1'
% 0.69/1.06 ), product( 'e_3', 'e_1', 'e_1' ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 229, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_1'
% 0.69/1.06 ), product( X, 'e_1', 'e_1' ), ~( product( 'e_1', 'e_3', X ) ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 233, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_1'
% 0.69/1.06 ), ~( product( 'e_1', 'e_3', 'e_1' ) ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 252, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_1'
% 0.69/1.06 ), product( 'e_2', 'e_3', 'e_2' ), product( 'e_2', 'e_2', 'e_3' ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 256, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_1'
% 0.69/1.06 ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 257, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.06 ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 264, [ product( 'e_2', 'e_2', 'e_1' ), equalish( X, 'e_3' ),
% 0.69/1.06 product( 'e_2', 'e_3', 'e_1' ), ~( product( 'e_3', X, 'e_1' ) ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 266, [ product( 'e_2', 'e_2', 'e_1' ), equalish( X, 'e_3' ),
% 0.69/1.06 product( 'e_2', 'e_3', 'e_1' ), ~( product( X, 'e_3', 'e_1' ) ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 267, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.69/1.06 ), product( 'e_1', 'e_1', 'e_3' ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 272, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.06 product( 'e_2', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 273, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.06 product( 'e_2', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 278, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.69/1.06 ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 284, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.69/1.06 ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 285, [ product( 'e_2', 'e_2', 'e_1' ), product( X, 'e_2', 'e_1' ),
% 0.69/1.06 product( 'e_2', 'e_3', 'e_1' ), ~( product( 'e_1', 'e_3', X ) ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 289, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.69/1.06 ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 291, [ product( 'e_2', 'e_2', 'e_1' ), product( X, 'e_1', 'e_3' ),
% 0.69/1.06 ~( product( 'e_3', 'e_2', X ) ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 294, [ equalish( X, 'e_2' ), product( 'e_2', 'e_2', 'e_1' ), ~(
% 0.69/1.06 product( X, 'e_3', 'e_1' ) ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 295, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_1'
% 0.69/1.06 ), product( 'e_1', 'e_1', 'e_3' ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 305, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.06 ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 310, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.06 ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 312, [ equalish( X, 'e_2' ), product( 'e_1', 'e_2', 'e_1' ), ~(
% 0.69/1.06 product( 'e_2', X, 'e_1' ) ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 314, [ equalish( X, 'e_2' ), product( 'e_1', 'e_2', 'e_1' ), ~(
% 0.69/1.06 product( X, 'e_2', 'e_1' ) ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 315, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_1', 'e_2'
% 0.69/1.06 ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 316, [ product( 'e_1', 'e_2', 'e_1' ), product( X, 'e_2', 'e_1' ),
% 0.69/1.06 ~( product( 'e_1', 'e_1', X ) ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 317, [ equalish( X, 'e_1' ), product( 'e_1', 'e_2', 'e_1' ), ~(
% 0.69/1.06 product( 'e_1', X, 'e_2' ) ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 337, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.69/1.06 ), product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 339, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.69/1.06 ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 341, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_2', 'e_1'
% 0.69/1.06 ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 346, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_1' ) ]
% 0.69/1.06 )
% 0.69/1.06 .
% 0.69/1.06 clause( 353, [ product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 359, [ product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 361, [ equalish( X, 'e_2' ), ~( product( 'e_1', X, 'e_1' ) ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 364, [ equalish( 'e_1', 'e_2' ), product( 'e_3', 'e_3', 'e_1' ) ]
% 0.69/1.06 )
% 0.69/1.06 .
% 0.69/1.06 clause( 369, [ product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 370, [ product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 374, [ equalish( X, 'e_3' ), ~( product( X, 'e_3', 'e_1' ) ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 375, [ product( 'e_1', 'e_1', 'e_3' ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 379, [ equalish( X, 'e_2' ), ~( product( X, 'e_2', 'e_1' ) ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 386, [ equalish( 'e_1', 'e_3' ), product( 'e_1', 'e_3', 'e_2' ) ]
% 0.69/1.06 )
% 0.69/1.06 .
% 0.69/1.06 clause( 388, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_2' ) ]
% 0.69/1.06 )
% 0.69/1.06 .
% 0.69/1.06 clause( 404, [ product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 415, [ product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 417, [ equalish( X, 'e_2' ), ~( product( 'e_1', X, 'e_2' ) ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 425, [] )
% 0.69/1.06 .
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 % SZS output end Refutation
% 0.69/1.06 found a proof!
% 0.69/1.06
% 0.69/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.06
% 0.69/1.06 initialclauses(
% 0.69/1.06 [ clause( 427, [ 'group_element'( 'e_1' ) ] )
% 0.69/1.06 , clause( 428, [ 'group_element'( 'e_2' ) ] )
% 0.69/1.06 , clause( 429, [ 'group_element'( 'e_3' ) ] )
% 0.69/1.06 , clause( 430, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.69/1.06 , clause( 431, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.69/1.06 , clause( 432, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.69/1.06 , clause( 433, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.69/1.06 , clause( 434, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.69/1.06 , clause( 435, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.69/1.06 , clause( 436, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.69/1.06 product( X, Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ) ]
% 0.69/1.06 )
% 0.69/1.06 , clause( 437, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish(
% 0.69/1.06 Z, T ) ] )
% 0.69/1.06 , clause( 438, [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish(
% 0.69/1.06 Y, T ) ] )
% 0.69/1.06 , clause( 439, [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish(
% 0.69/1.06 X, T ) ] )
% 0.69/1.06 , clause( 440, [ ~( product( X, Y, Z ) ), ~( product( Y, X, T ) ), product(
% 0.69/1.06 Z, T, X ) ] )
% 0.69/1.06 ] ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 0, [ 'group_element'( 'e_1' ) ] )
% 0.69/1.06 , clause( 427, [ 'group_element'( 'e_1' ) ] )
% 0.69/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 1, [ 'group_element'( 'e_2' ) ] )
% 0.69/1.06 , clause( 428, [ 'group_element'( 'e_2' ) ] )
% 0.69/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 2, [ 'group_element'( 'e_3' ) ] )
% 0.69/1.06 , clause( 429, [ 'group_element'( 'e_3' ) ] )
% 0.69/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 3, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.69/1.06 , clause( 430, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.69/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 4, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.69/1.06 , clause( 431, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.69/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 5, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.69/1.06 , clause( 432, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.69/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 6, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.69/1.06 , clause( 433, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.69/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 7, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.69/1.06 , clause( 434, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.69/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 8, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.69/1.06 , clause( 435, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.69/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 9, [ ~( 'group_element'( X ) ), product( X, Y, 'e_3' ), product( X
% 0.69/1.06 , Y, 'e_1' ), product( X, Y, 'e_2' ), ~( 'group_element'( Y ) ) ] )
% 0.69/1.06 , clause( 436, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.69/1.06 product( X, Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ) ]
% 0.69/1.06 )
% 0.69/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.06 ), ==>( 1, 4 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 1 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 10, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y,
% 0.69/1.06 T ) ) ] )
% 0.69/1.06 , clause( 437, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish(
% 0.69/1.06 Z, T ) ] )
% 0.69/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.69/1.06 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 11, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T,
% 0.69/1.06 Z ) ) ] )
% 0.69/1.06 , clause( 438, [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish(
% 0.69/1.06 Y, T ) ] )
% 0.69/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.69/1.06 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 12, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y,
% 0.69/1.06 Z ) ) ] )
% 0.69/1.06 , clause( 439, [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish(
% 0.69/1.06 X, T ) ] )
% 0.69/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.69/1.06 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 13, [ ~( product( X, Y, Z ) ), product( Z, T, X ), ~( product( Y, X
% 0.69/1.06 , T ) ) ] )
% 0.69/1.06 , clause( 440, [ ~( product( X, Y, Z ) ), ~( product( Y, X, T ) ), product(
% 0.69/1.06 Z, T, X ) ] )
% 0.69/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.69/1.06 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 factor(
% 0.69/1.06 clause( 456, [ ~( 'group_element'( X ) ), product( X, X, 'e_3' ), product(
% 0.69/1.06 X, X, 'e_1' ), product( X, X, 'e_2' ) ] )
% 0.69/1.06 , clause( 9, [ ~( 'group_element'( X ) ), product( X, Y, 'e_3' ), product(
% 0.69/1.06 X, Y, 'e_1' ), product( X, Y, 'e_2' ), ~( 'group_element'( Y ) ) ] )
% 0.69/1.06 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, X )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 14, [ product( X, X, 'e_3' ), product( X, X, 'e_1' ), product( X, X
% 0.69/1.06 , 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.69/1.06 , clause( 456, [ ~( 'group_element'( X ) ), product( X, X, 'e_3' ), product(
% 0.69/1.06 X, X, 'e_1' ), product( X, X, 'e_2' ) ] )
% 0.69/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 0.69/1.06 0 ), ==>( 2, 1 ), ==>( 3, 2 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 factor(
% 0.69/1.06 clause( 457, [ ~( product( X, X, Y ) ), product( Y, Y, X ) ] )
% 0.69/1.06 , clause( 13, [ ~( product( X, Y, Z ) ), product( Z, T, X ), ~( product( Y
% 0.69/1.06 , X, T ) ) ] )
% 0.69/1.06 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, Y ), :=( T, Y )] )
% 0.69/1.06 ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 18, [ product( Y, Y, X ), ~( product( X, X, Y ) ) ] )
% 0.69/1.06 , clause( 457, [ ~( product( X, X, Y ) ), product( Y, Y, X ) ] )
% 0.69/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.69/1.06 ), ==>( 1, 0 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 resolution(
% 0.69/1.06 clause( 459, [ ~( 'group_element'( X ) ), product( X, 'e_1', 'e_3' ),
% 0.69/1.06 product( X, 'e_1', 'e_1' ), product( X, 'e_1', 'e_2' ) ] )
% 0.69/1.06 , clause( 9, [ ~( 'group_element'( X ) ), product( X, Y, 'e_3' ), product(
% 0.69/1.06 X, Y, 'e_1' ), product( X, Y, 'e_2' ), ~( 'group_element'( Y ) ) ] )
% 0.69/1.06 , 4, clause( 0, [ 'group_element'( 'e_1' ) ] )
% 0.69/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_1' )] ), substitution( 1, [] )
% 0.69/1.06 ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 19, [ product( X, 'e_1', 'e_3' ), product( X, 'e_1', 'e_1' ),
% 0.69/1.06 product( X, 'e_1', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.69/1.06 , clause( 459, [ ~( 'group_element'( X ) ), product( X, 'e_1', 'e_3' ),
% 0.69/1.06 product( X, 'e_1', 'e_1' ), product( X, 'e_1', 'e_2' ) ] )
% 0.69/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 0.69/1.06 0 ), ==>( 2, 1 ), ==>( 3, 2 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 resolution(
% 0.69/1.06 clause( 461, [ ~( 'group_element'( X ) ), product( X, 'e_2', 'e_3' ),
% 0.69/1.06 product( X, 'e_2', 'e_1' ), product( X, 'e_2', 'e_2' ) ] )
% 0.69/1.06 , clause( 9, [ ~( 'group_element'( X ) ), product( X, Y, 'e_3' ), product(
% 0.69/1.06 X, Y, 'e_1' ), product( X, Y, 'e_2' ), ~( 'group_element'( Y ) ) ] )
% 0.69/1.06 , 4, clause( 1, [ 'group_element'( 'e_2' ) ] )
% 0.69/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_2' )] ), substitution( 1, [] )
% 0.69/1.06 ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 20, [ product( X, 'e_2', 'e_3' ), product( X, 'e_2', 'e_1' ),
% 0.69/1.06 product( X, 'e_2', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.69/1.06 , clause( 461, [ ~( 'group_element'( X ) ), product( X, 'e_2', 'e_3' ),
% 0.69/1.06 product( X, 'e_2', 'e_1' ), product( X, 'e_2', 'e_2' ) ] )
% 0.69/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 0.69/1.06 0 ), ==>( 2, 1 ), ==>( 3, 2 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 resolution(
% 0.69/1.06 clause( 463, [ ~( 'group_element'( X ) ), product( X, 'e_3', 'e_3' ),
% 0.69/1.06 product( X, 'e_3', 'e_1' ), product( X, 'e_3', 'e_2' ) ] )
% 0.69/1.06 , clause( 9, [ ~( 'group_element'( X ) ), product( X, Y, 'e_3' ), product(
% 0.69/1.06 X, Y, 'e_1' ), product( X, Y, 'e_2' ), ~( 'group_element'( Y ) ) ] )
% 0.69/1.06 , 4, clause( 2, [ 'group_element'( 'e_3' ) ] )
% 0.69/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_3' )] ), substitution( 1, [] )
% 0.69/1.06 ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 21, [ product( X, 'e_3', 'e_3' ), product( X, 'e_3', 'e_1' ),
% 0.69/1.06 product( X, 'e_3', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.69/1.06 , clause( 463, [ ~( 'group_element'( X ) ), product( X, 'e_3', 'e_3' ),
% 0.69/1.06 product( X, 'e_3', 'e_1' ), product( X, 'e_3', 'e_2' ) ] )
% 0.69/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 0.69/1.06 0 ), ==>( 2, 1 ), ==>( 3, 2 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 resolution(
% 0.69/1.06 clause( 464, [ product( 'e_1', 'e_1', 'e_3' ), product( 'e_1', 'e_1', 'e_1'
% 0.69/1.06 ), product( 'e_1', 'e_1', 'e_2' ) ] )
% 0.69/1.06 , clause( 19, [ product( X, 'e_1', 'e_3' ), product( X, 'e_1', 'e_1' ),
% 0.69/1.06 product( X, 'e_1', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.69/1.06 , 3, clause( 0, [ 'group_element'( 'e_1' ) ] )
% 0.69/1.06 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 22, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1', 'e_2'
% 0.69/1.06 ), product( 'e_1', 'e_1', 'e_3' ) ] )
% 0.69/1.06 , clause( 464, [ product( 'e_1', 'e_1', 'e_3' ), product( 'e_1', 'e_1',
% 0.69/1.06 'e_1' ), product( 'e_1', 'e_1', 'e_2' ) ] )
% 0.69/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.69/1.06 , 1 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 resolution(
% 0.69/1.06 clause( 465, [ product( 'e_2', 'e_1', 'e_3' ), product( 'e_2', 'e_1', 'e_1'
% 0.69/1.06 ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.69/1.06 , clause( 19, [ product( X, 'e_1', 'e_3' ), product( X, 'e_1', 'e_1' ),
% 0.69/1.06 product( X, 'e_1', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.69/1.06 , 3, clause( 1, [ 'group_element'( 'e_2' ) ] )
% 0.69/1.06 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 23, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2'
% 0.69/1.06 ), product( 'e_2', 'e_1', 'e_3' ) ] )
% 0.69/1.06 , clause( 465, [ product( 'e_2', 'e_1', 'e_3' ), product( 'e_2', 'e_1',
% 0.69/1.06 'e_1' ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.69/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.69/1.06 , 1 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 resolution(
% 0.69/1.06 clause( 466, [ product( 'e_3', 'e_1', 'e_3' ), product( 'e_3', 'e_1', 'e_1'
% 0.69/1.06 ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.06 , clause( 19, [ product( X, 'e_1', 'e_3' ), product( X, 'e_1', 'e_1' ),
% 0.69/1.06 product( X, 'e_1', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.69/1.06 , 3, clause( 2, [ 'group_element'( 'e_3' ) ] )
% 0.69/1.06 , 0, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 24, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.69/1.06 ), product( 'e_3', 'e_1', 'e_3' ) ] )
% 0.69/1.06 , clause( 466, [ product( 'e_3', 'e_1', 'e_3' ), product( 'e_3', 'e_1',
% 0.69/1.06 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.69/1.06 , 1 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 resolution(
% 0.69/1.06 clause( 469, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_1', 'e_1', 'e_1'
% 0.69/1.06 ), product( 'e_1', 'e_1', 'e_2' ) ] )
% 0.69/1.06 , clause( 18, [ product( Y, Y, X ), ~( product( X, X, Y ) ) ] )
% 0.69/1.06 , 1, clause( 22, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1',
% 0.69/1.06 'e_2' ), product( 'e_1', 'e_1', 'e_3' ) ] )
% 0.69/1.06 , 2, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_3' )] ), substitution( 1
% 0.69/1.06 , [] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 29, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_3', 'e_3', 'e_1'
% 0.69/1.06 ), product( 'e_1', 'e_1', 'e_2' ) ] )
% 0.69/1.06 , clause( 469, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_1', 'e_1',
% 0.69/1.06 'e_1' ), product( 'e_1', 'e_1', 'e_2' ) ] )
% 0.69/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.69/1.06 , 2 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 resolution(
% 0.69/1.06 clause( 470, [ product( 'e_2', 'e_2', 'e_3' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.06 ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.69/1.06 , clause( 14, [ product( X, X, 'e_3' ), product( X, X, 'e_1' ), product( X
% 0.69/1.06 , X, 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.69/1.06 , 3, clause( 1, [ 'group_element'( 'e_2' ) ] )
% 0.69/1.06 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 32, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2'
% 0.69/1.06 ), product( 'e_2', 'e_2', 'e_3' ) ] )
% 0.69/1.06 , clause( 470, [ product( 'e_2', 'e_2', 'e_3' ), product( 'e_2', 'e_2',
% 0.69/1.06 'e_1' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.69/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.69/1.06 , 1 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 resolution(
% 0.69/1.06 clause( 471, [ product( 'e_3', 'e_3', 'e_3' ), product( 'e_3', 'e_3', 'e_1'
% 0.69/1.06 ), product( 'e_3', 'e_3', 'e_2' ) ] )
% 0.69/1.06 , clause( 14, [ product( X, X, 'e_3' ), product( X, X, 'e_1' ), product( X
% 0.69/1.06 , X, 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.69/1.06 , 3, clause( 2, [ 'group_element'( 'e_3' ) ] )
% 0.69/1.06 , 0, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 33, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_2'
% 0.69/1.06 ), product( 'e_3', 'e_3', 'e_3' ) ] )
% 0.69/1.06 , clause( 471, [ product( 'e_3', 'e_3', 'e_3' ), product( 'e_3', 'e_3',
% 0.69/1.06 'e_1' ), product( 'e_3', 'e_3', 'e_2' ) ] )
% 0.69/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.69/1.06 , 1 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 resolution(
% 0.69/1.06 clause( 472, [ product( 'e_1', 'e_2', 'e_3' ), product( 'e_1', 'e_2', 'e_1'
% 0.69/1.06 ), product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.69/1.06 , clause( 20, [ product( X, 'e_2', 'e_3' ), product( X, 'e_2', 'e_1' ),
% 0.69/1.06 product( X, 'e_2', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.69/1.06 , 3, clause( 0, [ 'group_element'( 'e_1' ) ] )
% 0.69/1.06 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 45, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_2'
% 0.69/1.06 ), product( 'e_1', 'e_2', 'e_3' ) ] )
% 0.69/1.06 , clause( 472, [ product( 'e_1', 'e_2', 'e_3' ), product( 'e_1', 'e_2',
% 0.69/1.06 'e_1' ), product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.69/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.69/1.06 , 1 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 resolution(
% 0.69/1.06 clause( 473, [ product( 'e_3', 'e_2', 'e_3' ), product( 'e_3', 'e_2', 'e_1'
% 0.69/1.06 ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.69/1.06 , clause( 20, [ product( X, 'e_2', 'e_3' ), product( X, 'e_2', 'e_1' ),
% 0.69/1.06 product( X, 'e_2', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.69/1.06 , 3, clause( 2, [ 'group_element'( 'e_3' ) ] )
% 0.69/1.06 , 0, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 46, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_2'
% 0.69/1.06 ), product( 'e_3', 'e_2', 'e_3' ) ] )
% 0.69/1.06 , clause( 473, [ product( 'e_3', 'e_2', 'e_3' ), product( 'e_3', 'e_2',
% 0.69/1.06 'e_1' ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.69/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.69/1.06 , 1 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 resolution(
% 0.69/1.06 clause( 479, [ equalish( X, 'e_2' ), ~( product( 'e_1', X, 'e_3' ) ),
% 0.69/1.06 product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.69/1.06 , clause( 11, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.69/1.06 , Z ) ) ] )
% 0.69/1.06 , 2, clause( 45, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2',
% 0.69/1.06 'e_2' ), product( 'e_1', 'e_2', 'e_3' ) ] )
% 0.69/1.06 , 2, substitution( 0, [ :=( X, 'e_1' ), :=( Y, X ), :=( Z, 'e_3' ), :=( T,
% 0.69/1.06 'e_2' )] ), substitution( 1, [] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 52, [ product( 'e_1', 'e_2', 'e_1' ), equalish( X, 'e_2' ), product(
% 0.69/1.06 'e_1', 'e_2', 'e_2' ), ~( product( 'e_1', X, 'e_3' ) ) ] )
% 0.69/1.06 , clause( 479, [ equalish( X, 'e_2' ), ~( product( 'e_1', X, 'e_3' ) ),
% 0.69/1.06 product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.69/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.69/1.06 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 resolution(
% 0.69/1.06 clause( 485, [ equalish( X, 'e_1' ), ~( product( X, 'e_2', 'e_3' ) ),
% 0.69/1.06 product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.69/1.06 , clause( 12, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.69/1.06 , Z ) ) ] )
% 0.69/1.06 , 2, clause( 45, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2',
% 0.69/1.06 'e_2' ), product( 'e_1', 'e_2', 'e_3' ) ] )
% 0.69/1.06 , 2, substitution( 0, [ :=( X, X ), :=( Y, 'e_2' ), :=( Z, 'e_3' ), :=( T,
% 0.69/1.06 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 54, [ product( 'e_1', 'e_2', 'e_1' ), equalish( X, 'e_1' ), product(
% 0.69/1.06 'e_1', 'e_2', 'e_2' ), ~( product( X, 'e_2', 'e_3' ) ) ] )
% 0.69/1.06 , clause( 485, [ equalish( X, 'e_1' ), ~( product( X, 'e_2', 'e_3' ) ),
% 0.69/1.06 product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.69/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.69/1.06 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 resolution(
% 0.69/1.06 clause( 486, [ product( 'e_1', 'e_3', 'e_3' ), product( 'e_1', 'e_3', 'e_1'
% 0.69/1.06 ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.06 , clause( 21, [ product( X, 'e_3', 'e_3' ), product( X, 'e_3', 'e_1' ),
% 0.69/1.06 product( X, 'e_3', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.69/1.06 , 3, clause( 0, [ 'group_element'( 'e_1' ) ] )
% 0.69/1.06 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 58, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2'
% 0.69/1.06 ), product( 'e_1', 'e_3', 'e_3' ) ] )
% 0.69/1.06 , clause( 486, [ product( 'e_1', 'e_3', 'e_3' ), product( 'e_1', 'e_3',
% 0.69/1.06 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.69/1.06 , 1 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 resolution(
% 0.69/1.06 clause( 487, [ product( 'e_2', 'e_3', 'e_3' ), product( 'e_2', 'e_3', 'e_1'
% 0.69/1.06 ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.69/1.06 , clause( 21, [ product( X, 'e_3', 'e_3' ), product( X, 'e_3', 'e_1' ),
% 0.69/1.06 product( X, 'e_3', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.69/1.06 , 3, clause( 1, [ 'group_element'( 'e_2' ) ] )
% 0.69/1.06 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 59, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2'
% 0.69/1.06 ), product( 'e_2', 'e_3', 'e_3' ) ] )
% 0.69/1.06 , clause( 487, [ product( 'e_2', 'e_3', 'e_3' ), product( 'e_2', 'e_3',
% 0.69/1.06 'e_1' ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.69/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.69/1.06 , 1 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 resolution(
% 0.69/1.06 clause( 493, [ equalish( X, 'e_3' ), ~( product( 'e_1', X, 'e_3' ) ),
% 0.69/1.06 product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.06 , clause( 11, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.69/1.06 , Z ) ) ] )
% 0.69/1.06 , 2, clause( 58, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3',
% 0.69/1.06 'e_2' ), product( 'e_1', 'e_3', 'e_3' ) ] )
% 0.69/1.06 , 2, substitution( 0, [ :=( X, 'e_1' ), :=( Y, X ), :=( Z, 'e_3' ), :=( T,
% 0.69/1.06 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 65, [ product( 'e_1', 'e_3', 'e_1' ), equalish( X, 'e_3' ), product(
% 0.69/1.06 'e_1', 'e_3', 'e_2' ), ~( product( 'e_1', X, 'e_3' ) ) ] )
% 0.69/1.06 , clause( 493, [ equalish( X, 'e_3' ), ~( product( 'e_1', X, 'e_3' ) ),
% 0.69/1.06 product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.69/1.06 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 resolution(
% 0.69/1.06 clause( 499, [ equalish( X, 'e_3' ), ~( product( 'e_2', X, 'e_3' ) ),
% 0.69/1.06 product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.69/1.06 , clause( 11, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.69/1.06 , Z ) ) ] )
% 0.69/1.06 , 2, clause( 59, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3',
% 0.69/1.06 'e_2' ), product( 'e_2', 'e_3', 'e_3' ) ] )
% 0.69/1.06 , 2, substitution( 0, [ :=( X, 'e_2' ), :=( Y, X ), :=( Z, 'e_3' ), :=( T,
% 0.69/1.06 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 75, [ product( 'e_2', 'e_3', 'e_1' ), equalish( X, 'e_3' ), product(
% 0.69/1.06 'e_2', 'e_3', 'e_2' ), ~( product( 'e_2', X, 'e_3' ) ) ] )
% 0.69/1.06 , clause( 499, [ equalish( X, 'e_3' ), ~( product( 'e_2', X, 'e_3' ) ),
% 0.69/1.06 product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.69/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.69/1.06 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 resolution(
% 0.69/1.06 clause( 505, [ equalish( X, 'e_2' ), ~( product( 'e_2', X, 'e_3' ) ),
% 0.69/1.06 product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.69/1.06 , clause( 11, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.69/1.06 , Z ) ) ] )
% 0.69/1.06 , 2, clause( 32, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.06 'e_2' ), product( 'e_2', 'e_2', 'e_3' ) ] )
% 0.69/1.06 , 2, substitution( 0, [ :=( X, 'e_2' ), :=( Y, X ), :=( Z, 'e_3' ), :=( T,
% 0.69/1.06 'e_2' )] ), substitution( 1, [] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 83, [ product( 'e_2', 'e_2', 'e_1' ), equalish( X, 'e_2' ), product(
% 0.69/1.06 'e_2', 'e_2', 'e_2' ), ~( product( 'e_2', X, 'e_3' ) ) ] )
% 0.69/1.06 , clause( 505, [ equalish( X, 'e_2' ), ~( product( 'e_2', X, 'e_3' ) ),
% 0.69/1.06 product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.69/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.69/1.06 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 resolution(
% 0.69/1.06 clause( 511, [ equalish( X, 'e_2' ), ~( product( X, 'e_2', 'e_3' ) ),
% 0.69/1.06 product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.69/1.06 , clause( 12, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.69/1.06 , Z ) ) ] )
% 0.69/1.06 , 2, clause( 32, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.06 'e_2' ), product( 'e_2', 'e_2', 'e_3' ) ] )
% 0.69/1.06 , 2, substitution( 0, [ :=( X, X ), :=( Y, 'e_2' ), :=( Z, 'e_3' ), :=( T,
% 0.69/1.06 'e_2' )] ), substitution( 1, [] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 85, [ product( 'e_2', 'e_2', 'e_1' ), equalish( X, 'e_2' ), product(
% 0.69/1.06 'e_2', 'e_2', 'e_2' ), ~( product( X, 'e_2', 'e_3' ) ) ] )
% 0.69/1.06 , clause( 511, [ equalish( X, 'e_2' ), ~( product( X, 'e_2', 'e_3' ) ),
% 0.69/1.06 product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.69/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.69/1.06 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 resolution(
% 0.69/1.06 clause( 514, [ product( 'e_3', 'e_3', 'e_2' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.06 ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.69/1.06 , clause( 18, [ product( Y, Y, X ), ~( product( X, X, Y ) ) ] )
% 0.69/1.06 , 1, clause( 32, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.06 'e_2' ), product( 'e_2', 'e_2', 'e_3' ) ] )
% 0.69/1.06 , 2, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_3' )] ), substitution( 1
% 0.69/1.06 , [] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 86, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2'
% 0.69/1.06 ), product( 'e_3', 'e_3', 'e_2' ) ] )
% 0.69/1.06 , clause( 514, [ product( 'e_3', 'e_3', 'e_2' ), product( 'e_2', 'e_2',
% 0.69/1.06 'e_1' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.69/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.69/1.06 , 1 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 resolution(
% 0.69/1.06 clause( 520, [ equalish( X, 'e_3' ), ~( product( 'e_3', X, 'e_2' ) ),
% 0.69/1.06 product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.69/1.06 , clause( 11, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.69/1.06 , Z ) ) ] )
% 0.69/1.06 , 2, clause( 86, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.06 'e_2' ), product( 'e_3', 'e_3', 'e_2' ) ] )
% 0.69/1.06 , 2, substitution( 0, [ :=( X, 'e_3' ), :=( Y, X ), :=( Z, 'e_2' ), :=( T,
% 0.69/1.06 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 88, [ product( 'e_2', 'e_2', 'e_1' ), equalish( X, 'e_3' ), product(
% 0.69/1.06 'e_2', 'e_2', 'e_2' ), ~( product( 'e_3', X, 'e_2' ) ) ] )
% 0.69/1.06 , clause( 520, [ equalish( X, 'e_3' ), ~( product( 'e_3', X, 'e_2' ) ),
% 0.69/1.06 product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.69/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.69/1.06 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 resolution(
% 0.69/1.06 clause( 526, [ equalish( X, 'e_3' ), ~( product( X, 'e_3', 'e_2' ) ),
% 0.69/1.06 product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.69/1.06 , clause( 12, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.69/1.06 , Z ) ) ] )
% 0.69/1.06 , 2, clause( 86, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.06 'e_2' ), product( 'e_3', 'e_3', 'e_2' ) ] )
% 0.69/1.06 , 2, substitution( 0, [ :=( X, X ), :=( Y, 'e_3' ), :=( Z, 'e_2' ), :=( T,
% 0.69/1.06 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 90, [ product( 'e_2', 'e_2', 'e_1' ), equalish( X, 'e_3' ), product(
% 0.69/1.06 'e_2', 'e_2', 'e_2' ), ~( product( X, 'e_3', 'e_2' ) ) ] )
% 0.69/1.06 , clause( 526, [ equalish( X, 'e_3' ), ~( product( X, 'e_3', 'e_2' ) ),
% 0.69/1.06 product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.69/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.69/1.06 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 resolution(
% 0.69/1.06 clause( 532, [ equalish( X, 'e_3' ), ~( product( X, 'e_1', 'e_3' ) ),
% 0.69/1.06 product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.06 , clause( 12, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.69/1.06 , Z ) ) ] )
% 0.69/1.06 , 2, clause( 24, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1',
% 0.69/1.06 'e_2' ), product( 'e_3', 'e_1', 'e_3' ) ] )
% 0.69/1.06 , 2, substitution( 0, [ :=( X, X ), :=( Y, 'e_1' ), :=( Z, 'e_3' ), :=( T,
% 0.69/1.06 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 94, [ product( 'e_3', 'e_1', 'e_1' ), equalish( X, 'e_3' ), product(
% 0.69/1.06 'e_3', 'e_1', 'e_2' ), ~( product( X, 'e_1', 'e_3' ) ) ] )
% 0.69/1.06 , clause( 532, [ equalish( X, 'e_3' ), ~( product( X, 'e_1', 'e_3' ) ),
% 0.69/1.06 product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.69/1.06 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 resolution(
% 0.69/1.06 clause( 538, [ equalish( X, 'e_3' ), ~( product( X, 'e_3', 'e_3' ) ),
% 0.69/1.06 product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_2' ) ] )
% 0.69/1.06 , clause( 12, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.69/1.06 , Z ) ) ] )
% 0.69/1.06 , 2, clause( 33, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_3',
% 0.69/1.06 'e_2' ), product( 'e_3', 'e_3', 'e_3' ) ] )
% 0.69/1.06 , 2, substitution( 0, [ :=( X, X ), :=( Y, 'e_3' ), :=( Z, 'e_3' ), :=( T,
% 0.69/1.06 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 98, [ product( 'e_3', 'e_3', 'e_1' ), equalish( X, 'e_3' ), product(
% 0.69/1.06 'e_3', 'e_3', 'e_2' ), ~( product( X, 'e_3', 'e_3' ) ) ] )
% 0.69/1.06 , clause( 538, [ equalish( X, 'e_3' ), ~( product( X, 'e_3', 'e_3' ) ),
% 0.69/1.06 product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_2' ) ] )
% 0.69/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.69/1.06 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 resolution(
% 0.69/1.06 clause( 544, [ equalish( X, 'e_2' ), ~( product( 'e_1', 'e_1', X ) ),
% 0.69/1.06 product( 'e_1', 'e_1', 'e_1' ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.06 , clause( 10, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y
% 0.69/1.06 , T ) ) ] )
% 0.69/1.06 , 2, clause( 29, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_3', 'e_3',
% 0.69/1.06 'e_1' ), product( 'e_1', 'e_1', 'e_2' ) ] )
% 0.69/1.06 , 2, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_1' ), :=( Z, X ), :=( T,
% 0.69/1.06 'e_2' )] ), substitution( 1, [] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 101, [ product( 'e_1', 'e_1', 'e_1' ), equalish( X, 'e_2' ),
% 0.69/1.06 product( 'e_3', 'e_3', 'e_1' ), ~( product( 'e_1', 'e_1', X ) ) ] )
% 0.69/1.06 , clause( 544, [ equalish( X, 'e_2' ), ~( product( 'e_1', 'e_1', X ) ),
% 0.69/1.06 product( 'e_1', 'e_1', 'e_1' ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.69/1.06 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 resolution(
% 0.69/1.06 clause( 547, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_1', 'e_1'
% 0.69/1.06 ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.06 , clause( 18, [ product( Y, Y, X ), ~( product( X, X, Y ) ) ] )
% 0.69/1.06 , 1, clause( 29, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_3', 'e_3',
% 0.69/1.06 'e_1' ), product( 'e_1', 'e_1', 'e_2' ) ] )
% 0.69/1.06 , 2, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_2' )] ), substitution( 1
% 0.69/1.06 , [] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 103, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.06 ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.06 , clause( 547, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_1',
% 0.69/1.06 'e_1' ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.69/1.06 , 2 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 resolution(
% 0.69/1.06 clause( 553, [ equalish( X, 'e_3' ), ~( product( 'e_3', X, 'e_1' ) ),
% 0.69/1.06 product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.06 , clause( 11, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.69/1.06 , Z ) ) ] )
% 0.69/1.06 , 2, clause( 103, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.06 'e_1' ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.06 , 2, substitution( 0, [ :=( X, 'e_3' ), :=( Y, X ), :=( Z, 'e_1' ), :=( T,
% 0.69/1.06 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 105, [ product( 'e_1', 'e_1', 'e_1' ), equalish( X, 'e_3' ),
% 0.69/1.06 product( 'e_2', 'e_2', 'e_1' ), ~( product( 'e_3', X, 'e_1' ) ) ] )
% 0.69/1.06 , clause( 553, [ equalish( X, 'e_3' ), ~( product( 'e_3', X, 'e_1' ) ),
% 0.69/1.06 product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.69/1.06 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 resolution(
% 0.69/1.06 clause( 559, [ equalish( X, 'e_3' ), ~( product( X, 'e_3', 'e_1' ) ),
% 0.69/1.06 product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.06 , clause( 12, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.69/1.06 , Z ) ) ] )
% 0.69/1.06 , 2, clause( 103, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.06 'e_1' ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.06 , 2, substitution( 0, [ :=( X, X ), :=( Y, 'e_3' ), :=( Z, 'e_1' ), :=( T,
% 0.69/1.06 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 107, [ product( 'e_1', 'e_1', 'e_1' ), equalish( X, 'e_3' ),
% 0.69/1.06 product( 'e_2', 'e_2', 'e_1' ), ~( product( X, 'e_3', 'e_1' ) ) ] )
% 0.69/1.06 , clause( 559, [ equalish( X, 'e_3' ), ~( product( X, 'e_3', 'e_1' ) ),
% 0.69/1.06 product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.69/1.06 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 resolution(
% 0.69/1.06 clause( 562, [ product( 'e_1', 'e_1', 'e_3' ), product( 'e_1', 'e_1', 'e_1'
% 0.69/1.06 ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.06 , clause( 18, [ product( Y, Y, X ), ~( product( X, X, Y ) ) ] )
% 0.69/1.06 , 1, clause( 103, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.06 'e_1' ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.06 , 2, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_1' )] ), substitution( 1
% 0.69/1.06 , [] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 108, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.06 ), product( 'e_1', 'e_1', 'e_3' ) ] )
% 0.69/1.06 , clause( 562, [ product( 'e_1', 'e_1', 'e_3' ), product( 'e_1', 'e_1',
% 0.69/1.06 'e_1' ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.69/1.06 , 1 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 resolution(
% 0.69/1.06 clause( 563, [ product( 'e_1', 'e_2', 'e_1' ), equalish( 'e_3', 'e_2' ),
% 0.69/1.06 product( 'e_1', 'e_2', 'e_2' ), product( 'e_1', 'e_3', 'e_1' ), product(
% 0.69/1.06 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.06 , clause( 52, [ product( 'e_1', 'e_2', 'e_1' ), equalish( X, 'e_2' ),
% 0.69/1.06 product( 'e_1', 'e_2', 'e_2' ), ~( product( 'e_1', X, 'e_3' ) ) ] )
% 0.69/1.06 , 3, clause( 58, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3',
% 0.69/1.06 'e_2' ), product( 'e_1', 'e_3', 'e_3' ) ] )
% 0.69/1.06 , 2, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 resolution(
% 0.69/1.06 clause( 564, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_2'
% 0.69/1.06 ), product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.06 , clause( 8, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.69/1.06 , 0, clause( 563, [ product( 'e_1', 'e_2', 'e_1' ), equalish( 'e_3', 'e_2'
% 0.69/1.06 ), product( 'e_1', 'e_2', 'e_2' ), product( 'e_1', 'e_3', 'e_1' ),
% 0.69/1.06 product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.06 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 129, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.69/1.06 ), product( 'e_1', 'e_2', 'e_2' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.06 , clause( 564, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2',
% 0.69/1.07 'e_2' ), product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ]
% 0.69/1.07 )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2
% 0.69/1.07 , 1 ), ==>( 3, 3 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 565, [ product( 'e_3', 'e_3', 'e_1' ), equalish( 'e_2', 'e_3' ),
% 0.69/1.07 product( 'e_3', 'e_3', 'e_2' ), product( 'e_2', 'e_3', 'e_1' ), product(
% 0.69/1.07 'e_2', 'e_3', 'e_2' ) ] )
% 0.69/1.07 , clause( 98, [ product( 'e_3', 'e_3', 'e_1' ), equalish( X, 'e_3' ),
% 0.69/1.07 product( 'e_3', 'e_3', 'e_2' ), ~( product( X, 'e_3', 'e_3' ) ) ] )
% 0.69/1.07 , 3, clause( 59, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3',
% 0.69/1.07 'e_2' ), product( 'e_2', 'e_3', 'e_3' ) ] )
% 0.69/1.07 , 2, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 566, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_2'
% 0.69/1.07 ), product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.69/1.07 , clause( 6, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.69/1.07 , 0, clause( 565, [ product( 'e_3', 'e_3', 'e_1' ), equalish( 'e_2', 'e_3'
% 0.69/1.07 ), product( 'e_3', 'e_3', 'e_2' ), product( 'e_2', 'e_3', 'e_1' ),
% 0.69/1.07 product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.69/1.07 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 130, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.69/1.07 ), product( 'e_2', 'e_3', 'e_2' ), product( 'e_3', 'e_3', 'e_2' ) ] )
% 0.69/1.07 , clause( 566, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_3', 'e_3',
% 0.69/1.07 'e_2' ), product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2' ) ]
% 0.69/1.07 )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 3 ), ==>( 2
% 0.69/1.07 , 1 ), ==>( 3, 2 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 567, [ product( 'e_3', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.07 product( 'e_3', 'e_1', 'e_2' ), product( 'e_1', 'e_1', 'e_1' ), product(
% 0.69/1.07 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , clause( 94, [ product( 'e_3', 'e_1', 'e_1' ), equalish( X, 'e_3' ),
% 0.69/1.07 product( 'e_3', 'e_1', 'e_2' ), ~( product( X, 'e_1', 'e_3' ) ) ] )
% 0.69/1.07 , 3, clause( 108, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.07 'e_1' ), product( 'e_1', 'e_1', 'e_3' ) ] )
% 0.69/1.07 , 2, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 568, [ product( 'e_1', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ), product( 'e_3'
% 0.69/1.07 , 'e_1', 'e_2' ), product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.07 'e_1' ) ] )
% 0.69/1.07 , clause( 105, [ product( 'e_1', 'e_1', 'e_1' ), equalish( X, 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_2', 'e_1' ), ~( product( 'e_3', X, 'e_1' ) ) ] )
% 0.69/1.07 , 3, clause( 567, [ product( 'e_3', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3'
% 0.69/1.07 ), product( 'e_3', 'e_1', 'e_2' ), product( 'e_1', 'e_1', 'e_1' ),
% 0.69/1.07 product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 factor(
% 0.69/1.07 clause( 569, [ product( 'e_1', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ), product( 'e_3'
% 0.69/1.07 , 'e_1', 'e_2' ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , clause( 568, [ product( 'e_1', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ), product( 'e_3'
% 0.69/1.07 , 'e_1', 'e_2' ), product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.07 'e_1' ) ] )
% 0.69/1.07 , 0, 5, substitution( 0, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 factor(
% 0.69/1.07 clause( 571, [ product( 'e_1', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ), product( 'e_3'
% 0.69/1.07 , 'e_1', 'e_2' ) ] )
% 0.69/1.07 , clause( 569, [ product( 'e_1', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ), product( 'e_3'
% 0.69/1.07 , 'e_1', 'e_2' ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , 2, 5, substitution( 0, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 factor(
% 0.69/1.07 clause( 572, [ product( 'e_1', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_2', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.07 , clause( 571, [ product( 'e_1', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ), product( 'e_3'
% 0.69/1.07 , 'e_1', 'e_2' ) ] )
% 0.69/1.07 , 1, 3, substitution( 0, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 133, [ equalish( 'e_1', 'e_3' ), product( 'e_1', 'e_1', 'e_1' ),
% 0.69/1.07 product( 'e_2', 'e_2', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.07 , clause( 572, [ product( 'e_1', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_2', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.69/1.07 , 2 ), ==>( 3, 3 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 573, [ product( 'e_3', 'e_1', 'e_1' ), equalish( 'e_2', 'e_3' ),
% 0.69/1.07 product( 'e_3', 'e_1', 'e_2' ), product( 'e_2', 'e_1', 'e_1' ), product(
% 0.69/1.07 'e_2', 'e_1', 'e_2' ) ] )
% 0.69/1.07 , clause( 94, [ product( 'e_3', 'e_1', 'e_1' ), equalish( X, 'e_3' ),
% 0.69/1.07 product( 'e_3', 'e_1', 'e_2' ), ~( product( X, 'e_1', 'e_3' ) ) ] )
% 0.69/1.07 , 3, clause( 23, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1',
% 0.69/1.07 'e_2' ), product( 'e_2', 'e_1', 'e_3' ) ] )
% 0.69/1.07 , 2, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 574, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.69/1.07 ), product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.69/1.07 , clause( 6, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.69/1.07 , 0, clause( 573, [ product( 'e_3', 'e_1', 'e_1' ), equalish( 'e_2', 'e_3'
% 0.69/1.07 ), product( 'e_3', 'e_1', 'e_2' ), product( 'e_2', 'e_1', 'e_1' ),
% 0.69/1.07 product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.69/1.07 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 134, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_1'
% 0.69/1.07 ), product( 'e_2', 'e_1', 'e_2' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.07 , clause( 574, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1',
% 0.69/1.07 'e_2' ), product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2' ) ]
% 0.69/1.07 )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 3 ), ==>( 2
% 0.69/1.07 , 1 ), ==>( 3, 2 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 575, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.07 ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.07 , clause( 4, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.69/1.07 , 0, clause( 133, [ equalish( 'e_1', 'e_3' ), product( 'e_1', 'e_1', 'e_1'
% 0.69/1.07 ), product( 'e_2', 'e_2', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 135, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.07 ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.07 , clause( 575, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.07 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.69/1.07 , 2 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 581, [ ~( product( 'e_1', 'e_3', X ) ), product( X, 'e_2', 'e_1' )
% 0.69/1.07 , product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , clause( 13, [ ~( product( X, Y, Z ) ), product( Z, T, X ), ~( product( Y
% 0.69/1.07 , X, T ) ) ] )
% 0.69/1.07 , 2, clause( 135, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.07 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.07 , 2, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_3' ), :=( Z, X ), :=( T,
% 0.69/1.07 'e_2' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 136, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.07 ), product( X, 'e_2', 'e_1' ), ~( product( 'e_1', 'e_3', X ) ) ] )
% 0.69/1.07 , clause( 581, [ ~( product( 'e_1', 'e_3', X ) ), product( X, 'e_2', 'e_1'
% 0.69/1.07 ), product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 0.69/1.07 2 ), ==>( 2, 0 ), ==>( 3, 1 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 factor(
% 0.69/1.07 clause( 584, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.07 ), ~( product( 'e_1', 'e_3', 'e_2' ) ) ] )
% 0.69/1.07 , clause( 136, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.07 'e_1' ), product( X, 'e_2', 'e_1' ), ~( product( 'e_1', 'e_3', X ) ) ] )
% 0.69/1.07 , 1, 2, substitution( 0, [ :=( X, 'e_2' )] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 140, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.07 ), ~( product( 'e_1', 'e_3', 'e_2' ) ) ] )
% 0.69/1.07 , clause( 584, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.07 'e_1' ), ~( product( 'e_1', 'e_3', 'e_2' ) ) ] )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.69/1.07 , 2 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 585, [ product( 'e_1', 'e_2', 'e_1' ), equalish( 'e_3', 'e_1' ),
% 0.69/1.07 product( 'e_1', 'e_2', 'e_2' ), product( 'e_3', 'e_2', 'e_1' ), product(
% 0.69/1.07 'e_3', 'e_2', 'e_2' ) ] )
% 0.69/1.07 , clause( 54, [ product( 'e_1', 'e_2', 'e_1' ), equalish( X, 'e_1' ),
% 0.69/1.07 product( 'e_1', 'e_2', 'e_2' ), ~( product( X, 'e_2', 'e_3' ) ) ] )
% 0.69/1.07 , 3, clause( 46, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2',
% 0.69/1.07 'e_2' ), product( 'e_3', 'e_2', 'e_3' ) ] )
% 0.69/1.07 , 2, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 586, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_2'
% 0.69/1.07 ), product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.69/1.07 , clause( 7, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.69/1.07 , 0, clause( 585, [ product( 'e_1', 'e_2', 'e_1' ), equalish( 'e_3', 'e_1'
% 0.69/1.07 ), product( 'e_1', 'e_2', 'e_2' ), product( 'e_3', 'e_2', 'e_1' ),
% 0.69/1.07 product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.69/1.07 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 142, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_1'
% 0.69/1.07 ), product( 'e_1', 'e_2', 'e_2' ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.69/1.07 , clause( 586, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2',
% 0.69/1.07 'e_2' ), product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_2' ) ]
% 0.69/1.07 )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2
% 0.69/1.07 , 1 ), ==>( 3, 3 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 587, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_3', 'e_2' ),
% 0.69/1.07 product( 'e_2', 'e_2', 'e_2' ), product( 'e_2', 'e_3', 'e_1' ), product(
% 0.69/1.07 'e_2', 'e_3', 'e_2' ) ] )
% 0.69/1.07 , clause( 83, [ product( 'e_2', 'e_2', 'e_1' ), equalish( X, 'e_2' ),
% 0.69/1.07 product( 'e_2', 'e_2', 'e_2' ), ~( product( 'e_2', X, 'e_3' ) ) ] )
% 0.69/1.07 , 3, clause( 59, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3',
% 0.69/1.07 'e_2' ), product( 'e_2', 'e_3', 'e_3' ) ] )
% 0.69/1.07 , 2, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 588, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2'
% 0.69/1.07 ), product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.69/1.07 , clause( 8, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.69/1.07 , 0, clause( 587, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_3', 'e_2'
% 0.69/1.07 ), product( 'e_2', 'e_2', 'e_2' ), product( 'e_2', 'e_3', 'e_1' ),
% 0.69/1.07 product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.69/1.07 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 143, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.69/1.07 ), product( 'e_2', 'e_2', 'e_2' ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.69/1.07 , clause( 588, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.07 'e_2' ), product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2' ) ]
% 0.69/1.07 )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2
% 0.69/1.07 , 1 ), ==>( 3, 3 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 589, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_3', 'e_2' ),
% 0.69/1.07 product( 'e_2', 'e_2', 'e_2' ), product( 'e_3', 'e_2', 'e_1' ), product(
% 0.69/1.07 'e_3', 'e_2', 'e_2' ) ] )
% 0.69/1.07 , clause( 85, [ product( 'e_2', 'e_2', 'e_1' ), equalish( X, 'e_2' ),
% 0.69/1.07 product( 'e_2', 'e_2', 'e_2' ), ~( product( X, 'e_2', 'e_3' ) ) ] )
% 0.69/1.07 , 3, clause( 46, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2',
% 0.69/1.07 'e_2' ), product( 'e_3', 'e_2', 'e_3' ) ] )
% 0.69/1.07 , 2, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 590, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2'
% 0.69/1.07 ), product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.69/1.07 , clause( 8, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.69/1.07 , 0, clause( 589, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_3', 'e_2'
% 0.69/1.07 ), product( 'e_2', 'e_2', 'e_2' ), product( 'e_3', 'e_2', 'e_1' ),
% 0.69/1.07 product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.69/1.07 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 145, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_1'
% 0.69/1.07 ), product( 'e_2', 'e_2', 'e_2' ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.69/1.07 , clause( 590, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.07 'e_2' ), product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_2' ) ]
% 0.69/1.07 )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2
% 0.69/1.07 , 1 ), ==>( 3, 3 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 591, [ product( 'e_1', 'e_3', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.07 product( 'e_1', 'e_3', 'e_2' ), product( 'e_1', 'e_1', 'e_1' ), product(
% 0.69/1.07 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , clause( 65, [ product( 'e_1', 'e_3', 'e_1' ), equalish( X, 'e_3' ),
% 0.69/1.07 product( 'e_1', 'e_3', 'e_2' ), ~( product( 'e_1', X, 'e_3' ) ) ] )
% 0.69/1.07 , 3, clause( 108, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.07 'e_1' ), product( 'e_1', 'e_1', 'e_3' ) ] )
% 0.69/1.07 , 2, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 592, [ product( 'e_1', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ), product( 'e_1'
% 0.69/1.07 , 'e_3', 'e_2' ), product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.07 'e_1' ) ] )
% 0.69/1.07 , clause( 107, [ product( 'e_1', 'e_1', 'e_1' ), equalish( X, 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_2', 'e_1' ), ~( product( X, 'e_3', 'e_1' ) ) ] )
% 0.69/1.07 , 3, clause( 591, [ product( 'e_1', 'e_3', 'e_1' ), equalish( 'e_1', 'e_3'
% 0.69/1.07 ), product( 'e_1', 'e_3', 'e_2' ), product( 'e_1', 'e_1', 'e_1' ),
% 0.69/1.07 product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 factor(
% 0.69/1.07 clause( 593, [ product( 'e_1', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ), product( 'e_1'
% 0.69/1.07 , 'e_3', 'e_2' ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , clause( 592, [ product( 'e_1', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ), product( 'e_1'
% 0.69/1.07 , 'e_3', 'e_2' ), product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.07 'e_1' ) ] )
% 0.69/1.07 , 0, 5, substitution( 0, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 factor(
% 0.69/1.07 clause( 595, [ product( 'e_1', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ), product( 'e_1'
% 0.69/1.07 , 'e_3', 'e_2' ) ] )
% 0.69/1.07 , clause( 593, [ product( 'e_1', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ), product( 'e_1'
% 0.69/1.07 , 'e_3', 'e_2' ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , 2, 5, substitution( 0, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 factor(
% 0.69/1.07 clause( 596, [ product( 'e_1', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.07 , clause( 595, [ product( 'e_1', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ), product( 'e_1'
% 0.69/1.07 , 'e_3', 'e_2' ) ] )
% 0.69/1.07 , 1, 3, substitution( 0, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 149, [ equalish( 'e_1', 'e_3' ), product( 'e_1', 'e_1', 'e_1' ),
% 0.69/1.07 product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.07 , clause( 596, [ product( 'e_1', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.69/1.07 , 2 ), ==>( 3, 3 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 597, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.07 ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.07 , clause( 4, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.69/1.07 , 0, clause( 149, [ equalish( 'e_1', 'e_3' ), product( 'e_1', 'e_1', 'e_1'
% 0.69/1.07 ), product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 598, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.07 ), product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , clause( 140, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.07 'e_1' ), ~( product( 'e_1', 'e_3', 'e_2' ) ) ] )
% 0.69/1.07 , 2, clause( 597, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.07 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.07 , 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 factor(
% 0.69/1.07 clause( 599, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.07 ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , clause( 598, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.07 'e_1' ), product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1' ) ]
% 0.69/1.07 )
% 0.69/1.07 , 0, 2, substitution( 0, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 factor(
% 0.69/1.07 clause( 600, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.07 ) ] )
% 0.69/1.07 , clause( 599, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.07 'e_1' ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , 1, 2, substitution( 0, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 150, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.07 ) ] )
% 0.69/1.07 , clause( 600, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.07 'e_1' ) ] )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.69/1.07 ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 604, [ equalish( X, 'e_2' ), ~( product( X, 'e_2', 'e_1' ) ),
% 0.69/1.07 product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.69/1.07 , clause( 12, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.69/1.07 , Z ) ) ] )
% 0.69/1.07 , 2, clause( 150, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.07 'e_1' ) ] )
% 0.69/1.07 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'e_2' ), :=( Z, 'e_1' ), :=( T,
% 0.69/1.07 'e_2' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 154, [ equalish( X, 'e_2' ), product( 'e_1', 'e_1', 'e_1' ), ~(
% 0.69/1.07 product( X, 'e_2', 'e_1' ) ) ] )
% 0.69/1.07 , clause( 604, [ equalish( X, 'e_2' ), ~( product( X, 'e_2', 'e_1' ) ),
% 0.69/1.07 product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.69/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.69/1.07 2 ), ==>( 2, 1 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 606, [ product( 'e_1', 'e_1', 'e_2' ), product( 'e_1', 'e_1', 'e_1'
% 0.69/1.07 ) ] )
% 0.69/1.07 , clause( 18, [ product( Y, Y, X ), ~( product( X, X, Y ) ) ] )
% 0.69/1.07 , 1, clause( 150, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.07 'e_1' ) ] )
% 0.69/1.07 , 1, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_1' )] ), substitution( 1
% 0.69/1.07 , [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 155, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1', 'e_2'
% 0.69/1.07 ) ] )
% 0.69/1.07 , clause( 606, [ product( 'e_1', 'e_1', 'e_2' ), product( 'e_1', 'e_1',
% 0.69/1.07 'e_1' ) ] )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.69/1.07 ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 610, [ equalish( X, 'e_1' ), ~( product( X, 'e_1', 'e_2' ) ),
% 0.69/1.07 product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.69/1.07 , clause( 12, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.69/1.07 , Z ) ) ] )
% 0.69/1.07 , 2, clause( 155, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1',
% 0.69/1.07 'e_2' ) ] )
% 0.69/1.07 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'e_1' ), :=( Z, 'e_2' ), :=( T,
% 0.69/1.07 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 159, [ equalish( X, 'e_1' ), product( 'e_1', 'e_1', 'e_1' ), ~(
% 0.69/1.07 product( X, 'e_1', 'e_2' ) ) ] )
% 0.69/1.07 , clause( 610, [ equalish( X, 'e_1' ), ~( product( X, 'e_1', 'e_2' ) ),
% 0.69/1.07 product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.69/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.69/1.07 2 ), ==>( 2, 1 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 611, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_2', 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_2', 'e_2' ), product( 'e_2', 'e_2', 'e_1' ), product(
% 0.69/1.07 'e_3', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.69/1.07 , clause( 88, [ product( 'e_2', 'e_2', 'e_1' ), equalish( X, 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_2', 'e_2' ), ~( product( 'e_3', X, 'e_2' ) ) ] )
% 0.69/1.07 , 3, clause( 145, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_3', 'e_2',
% 0.69/1.07 'e_1' ), product( 'e_2', 'e_2', 'e_2' ), product( 'e_3', 'e_2', 'e_2' ) ]
% 0.69/1.07 )
% 0.69/1.07 , 3, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 factor(
% 0.69/1.07 clause( 612, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_2', 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_2', 'e_2' ), product( 'e_3', 'e_2', 'e_1' ), product(
% 0.69/1.07 'e_2', 'e_2', 'e_2' ) ] )
% 0.69/1.07 , clause( 611, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_2', 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_2', 'e_2' ), product( 'e_2', 'e_2', 'e_1' ), product(
% 0.69/1.07 'e_3', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.69/1.07 , 0, 3, substitution( 0, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 factor(
% 0.69/1.07 clause( 613, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_2', 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_2', 'e_2' ), product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , clause( 612, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_2', 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_2', 'e_2' ), product( 'e_3', 'e_2', 'e_1' ), product(
% 0.69/1.07 'e_2', 'e_2', 'e_2' ) ] )
% 0.69/1.07 , 2, 4, substitution( 0, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 614, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2'
% 0.69/1.07 ), product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , clause( 6, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.69/1.07 , 0, clause( 613, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_2', 'e_3'
% 0.69/1.07 ), product( 'e_2', 'e_2', 'e_2' ), product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 172, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_1'
% 0.69/1.07 ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.69/1.07 , clause( 614, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.07 'e_2' ), product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2
% 0.69/1.07 , 1 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 620, [ equalish( X, 'e_2' ), ~( product( X, 'e_2', 'e_2' ) ),
% 0.69/1.07 product( 'e_2', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , clause( 12, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.69/1.07 , Z ) ) ] )
% 0.69/1.07 , 2, clause( 172, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_3', 'e_2',
% 0.69/1.07 'e_1' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.69/1.07 , 2, substitution( 0, [ :=( X, X ), :=( Y, 'e_2' ), :=( Z, 'e_2' ), :=( T,
% 0.69/1.07 'e_2' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 178, [ product( 'e_2', 'e_2', 'e_1' ), equalish( X, 'e_2' ),
% 0.69/1.07 product( 'e_3', 'e_2', 'e_1' ), ~( product( X, 'e_2', 'e_2' ) ) ] )
% 0.69/1.07 , clause( 620, [ equalish( X, 'e_2' ), ~( product( X, 'e_2', 'e_2' ) ),
% 0.69/1.07 product( 'e_2', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.69/1.07 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 621, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_2', 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_2', 'e_2' ), product( 'e_2', 'e_2', 'e_1' ), product(
% 0.69/1.07 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.69/1.07 , clause( 90, [ product( 'e_2', 'e_2', 'e_1' ), equalish( X, 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_2', 'e_2' ), ~( product( X, 'e_3', 'e_2' ) ) ] )
% 0.69/1.07 , 3, clause( 143, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_3',
% 0.69/1.07 'e_1' ), product( 'e_2', 'e_2', 'e_2' ), product( 'e_2', 'e_3', 'e_2' ) ]
% 0.69/1.07 )
% 0.69/1.07 , 3, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 factor(
% 0.69/1.07 clause( 622, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_2', 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_2', 'e_2' ), product( 'e_2', 'e_3', 'e_1' ), product(
% 0.69/1.07 'e_2', 'e_2', 'e_2' ) ] )
% 0.69/1.07 , clause( 621, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_2', 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_2', 'e_2' ), product( 'e_2', 'e_2', 'e_1' ), product(
% 0.69/1.07 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.69/1.07 , 0, 3, substitution( 0, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 factor(
% 0.69/1.07 clause( 623, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_2', 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_2', 'e_2' ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.69/1.07 , clause( 622, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_2', 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_2', 'e_2' ), product( 'e_2', 'e_3', 'e_1' ), product(
% 0.69/1.07 'e_2', 'e_2', 'e_2' ) ] )
% 0.69/1.07 , 2, 4, substitution( 0, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 624, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2'
% 0.69/1.07 ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.69/1.07 , clause( 6, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.69/1.07 , 0, clause( 623, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_2', 'e_3'
% 0.69/1.07 ), product( 'e_2', 'e_2', 'e_2' ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.69/1.07 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 181, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.69/1.07 ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.69/1.07 , clause( 624, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.07 'e_2' ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2
% 0.69/1.07 , 1 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 630, [ equalish( X, 'e_2' ), ~( product( 'e_2', X, 'e_2' ) ),
% 0.69/1.07 product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.69/1.07 , clause( 11, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.69/1.07 , Z ) ) ] )
% 0.69/1.07 , 2, clause( 181, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_3',
% 0.69/1.07 'e_1' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.69/1.07 , 2, substitution( 0, [ :=( X, 'e_2' ), :=( Y, X ), :=( Z, 'e_2' ), :=( T,
% 0.69/1.07 'e_2' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 183, [ product( 'e_2', 'e_2', 'e_1' ), equalish( X, 'e_2' ),
% 0.69/1.07 product( 'e_2', 'e_3', 'e_1' ), ~( product( 'e_2', X, 'e_2' ) ) ] )
% 0.69/1.07 , clause( 630, [ equalish( X, 'e_2' ), ~( product( 'e_2', X, 'e_2' ) ),
% 0.69/1.07 product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.69/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.69/1.07 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 632, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_3', 'e_2' ),
% 0.69/1.07 product( 'e_3', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_1' ), product(
% 0.69/1.07 'e_3', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.69/1.07 , clause( 178, [ product( 'e_2', 'e_2', 'e_1' ), equalish( X, 'e_2' ),
% 0.69/1.07 product( 'e_3', 'e_2', 'e_1' ), ~( product( X, 'e_2', 'e_2' ) ) ] )
% 0.69/1.07 , 3, clause( 142, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_3', 'e_2',
% 0.69/1.07 'e_1' ), product( 'e_1', 'e_2', 'e_2' ), product( 'e_3', 'e_2', 'e_2' ) ]
% 0.69/1.07 )
% 0.69/1.07 , 3, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 635, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_1'
% 0.69/1.07 ), product( 'e_1', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_1' ),
% 0.69/1.07 product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.69/1.07 , clause( 8, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.69/1.07 , 0, clause( 632, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_3', 'e_2'
% 0.69/1.07 ), product( 'e_3', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_1' ),
% 0.69/1.07 product( 'e_3', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.69/1.07 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 factor(
% 0.69/1.07 clause( 636, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_1'
% 0.69/1.07 ), product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.69/1.07 , clause( 635, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_3', 'e_2',
% 0.69/1.07 'e_1' ), product( 'e_1', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_1' ),
% 0.69/1.07 product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.69/1.07 , 1, 3, substitution( 0, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 209, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_1'
% 0.69/1.07 ), product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.69/1.07 , clause( 636, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_3', 'e_2',
% 0.69/1.07 'e_1' ), product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_2' ) ]
% 0.69/1.07 )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 1 ), ==>( 2
% 0.69/1.07 , 0 ), ==>( 3, 3 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 637, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_2' ),
% 0.69/1.07 product( 'e_3', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_1' ), product(
% 0.69/1.07 'e_3', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , clause( 178, [ product( 'e_2', 'e_2', 'e_1' ), equalish( X, 'e_2' ),
% 0.69/1.07 product( 'e_3', 'e_2', 'e_1' ), ~( product( X, 'e_2', 'e_2' ) ) ] )
% 0.69/1.07 , 3, clause( 209, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_3', 'e_2',
% 0.69/1.07 'e_1' ), product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_2' ) ]
% 0.69/1.07 )
% 0.69/1.07 , 3, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 factor(
% 0.69/1.07 clause( 638, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_2' ),
% 0.69/1.07 product( 'e_3', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_1' ), product(
% 0.69/1.07 'e_3', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , clause( 637, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_2' ),
% 0.69/1.07 product( 'e_3', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_1' ), product(
% 0.69/1.07 'e_3', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , 0, 5, substitution( 0, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 factor(
% 0.69/1.07 clause( 639, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_2' ),
% 0.69/1.07 product( 'e_3', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , clause( 638, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_2' ),
% 0.69/1.07 product( 'e_3', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_1' ), product(
% 0.69/1.07 'e_3', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , 2, 4, substitution( 0, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 640, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_1'
% 0.69/1.07 ), product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , clause( 3, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.69/1.07 , 0, clause( 639, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_2'
% 0.69/1.07 ), product( 'e_3', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 216, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.07 ), product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , clause( 640, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_3', 'e_2',
% 0.69/1.07 'e_1' ), product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2
% 0.69/1.07 , 0 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 642, [ equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_1', 'e_1' ),
% 0.69/1.07 product( 'e_3', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_1' ), product(
% 0.69/1.07 'e_2', 'e_1', 'e_2' ) ] )
% 0.69/1.07 , clause( 159, [ equalish( X, 'e_1' ), product( 'e_1', 'e_1', 'e_1' ), ~(
% 0.69/1.07 product( X, 'e_1', 'e_2' ) ) ] )
% 0.69/1.07 , 2, clause( 134, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_2', 'e_1',
% 0.69/1.07 'e_1' ), product( 'e_2', 'e_1', 'e_2' ), product( 'e_3', 'e_1', 'e_2' ) ]
% 0.69/1.07 )
% 0.69/1.07 , 3, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 643, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_1'
% 0.69/1.07 ), product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.69/1.07 , clause( 7, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.69/1.07 , 0, clause( 642, [ equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_1', 'e_1'
% 0.69/1.07 ), product( 'e_3', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_1' ),
% 0.69/1.07 product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.69/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 222, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_1'
% 0.69/1.07 ), product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.69/1.07 , clause( 643, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_3', 'e_1',
% 0.69/1.07 'e_1' ), product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2' ) ]
% 0.69/1.07 )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 1 ), ==>( 2
% 0.69/1.07 , 0 ), ==>( 3, 3 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 644, [ equalish( 'e_2', 'e_1' ), product( 'e_1', 'e_1', 'e_1' ),
% 0.69/1.07 product( 'e_2', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_1' ), product(
% 0.69/1.07 'e_1', 'e_1', 'e_1' ) ] )
% 0.69/1.07 , clause( 159, [ equalish( X, 'e_1' ), product( 'e_1', 'e_1', 'e_1' ), ~(
% 0.69/1.07 product( X, 'e_1', 'e_2' ) ) ] )
% 0.69/1.07 , 2, clause( 222, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_3', 'e_1',
% 0.69/1.07 'e_1' ), product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2' ) ]
% 0.69/1.07 )
% 0.69/1.07 , 3, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 646, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_1'
% 0.69/1.07 ), product( 'e_3', 'e_1', 'e_1' ), product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.69/1.07 , clause( 5, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.69/1.07 , 0, clause( 644, [ equalish( 'e_2', 'e_1' ), product( 'e_1', 'e_1', 'e_1'
% 0.69/1.07 ), product( 'e_2', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_1' ),
% 0.69/1.07 product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.69/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 factor(
% 0.69/1.07 clause( 647, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_1'
% 0.69/1.07 ), product( 'e_3', 'e_1', 'e_1' ) ] )
% 0.69/1.07 , clause( 646, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_1',
% 0.69/1.07 'e_1' ), product( 'e_3', 'e_1', 'e_1' ), product( 'e_1', 'e_1', 'e_1' ) ]
% 0.69/1.07 )
% 0.69/1.07 , 0, 3, substitution( 0, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 228, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_1', 'e_1'
% 0.69/1.07 ), product( 'e_3', 'e_1', 'e_1' ) ] )
% 0.69/1.07 , clause( 647, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_1',
% 0.69/1.07 'e_1' ), product( 'e_3', 'e_1', 'e_1' ) ] )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.69/1.07 , 2 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 653, [ ~( product( 'e_1', 'e_3', X ) ), product( X, 'e_1', 'e_1' )
% 0.69/1.07 , product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.69/1.07 , clause( 13, [ ~( product( X, Y, Z ) ), product( Z, T, X ), ~( product( Y
% 0.69/1.07 , X, T ) ) ] )
% 0.69/1.07 , 2, clause( 228, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_1',
% 0.69/1.07 'e_1' ), product( 'e_3', 'e_1', 'e_1' ) ] )
% 0.69/1.07 , 2, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_3' ), :=( Z, X ), :=( T,
% 0.69/1.07 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 229, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_1'
% 0.69/1.07 ), product( X, 'e_1', 'e_1' ), ~( product( 'e_1', 'e_3', X ) ) ] )
% 0.69/1.07 , clause( 653, [ ~( product( 'e_1', 'e_3', X ) ), product( X, 'e_1', 'e_1'
% 0.69/1.07 ), product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.69/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 0.69/1.07 2 ), ==>( 2, 1 ), ==>( 3, 0 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 factor(
% 0.69/1.07 clause( 660, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_1'
% 0.69/1.07 ), ~( product( 'e_1', 'e_3', 'e_1' ) ) ] )
% 0.69/1.07 , clause( 229, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_1',
% 0.69/1.07 'e_1' ), product( X, 'e_1', 'e_1' ), ~( product( 'e_1', 'e_3', X ) ) ] )
% 0.69/1.07 , 0, 2, substitution( 0, [ :=( X, 'e_1' )] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 233, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_1'
% 0.69/1.07 ), ~( product( 'e_1', 'e_3', 'e_1' ) ) ] )
% 0.69/1.07 , clause( 660, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_1',
% 0.69/1.07 'e_1' ), ~( product( 'e_1', 'e_3', 'e_1' ) ) ] )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.69/1.07 , 2 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 663, [ product( 'e_2', 'e_2', 'e_3' ), product( 'e_3', 'e_3', 'e_1'
% 0.69/1.07 ), product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.69/1.07 , clause( 18, [ product( Y, Y, X ), ~( product( X, X, Y ) ) ] )
% 0.69/1.07 , 1, clause( 130, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_2', 'e_3',
% 0.69/1.07 'e_1' ), product( 'e_2', 'e_3', 'e_2' ), product( 'e_3', 'e_3', 'e_2' ) ]
% 0.69/1.07 )
% 0.69/1.07 , 3, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_2' )] ), substitution( 1
% 0.69/1.07 , [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 252, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_1'
% 0.69/1.07 ), product( 'e_2', 'e_3', 'e_2' ), product( 'e_2', 'e_2', 'e_3' ) ] )
% 0.69/1.07 , clause( 663, [ product( 'e_2', 'e_2', 'e_3' ), product( 'e_3', 'e_3',
% 0.69/1.07 'e_1' ), product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2' ) ]
% 0.69/1.07 )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 1 ), ==>( 2
% 0.69/1.07 , 0 ), ==>( 3, 2 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 664, [ product( 'e_2', 'e_3', 'e_1' ), equalish( 'e_2', 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_3', 'e_2' ), product( 'e_2', 'e_3', 'e_1' ), product(
% 0.69/1.07 'e_3', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.69/1.07 , clause( 75, [ product( 'e_2', 'e_3', 'e_1' ), equalish( X, 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_3', 'e_2' ), ~( product( 'e_2', X, 'e_3' ) ) ] )
% 0.69/1.07 , 3, clause( 252, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_3', 'e_3',
% 0.69/1.07 'e_1' ), product( 'e_2', 'e_3', 'e_2' ), product( 'e_2', 'e_2', 'e_3' ) ]
% 0.69/1.07 )
% 0.69/1.07 , 3, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 factor(
% 0.69/1.07 clause( 665, [ product( 'e_2', 'e_3', 'e_1' ), equalish( 'e_2', 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_3', 'e_2' ), product( 'e_3', 'e_3', 'e_1' ), product(
% 0.69/1.07 'e_2', 'e_3', 'e_2' ) ] )
% 0.69/1.07 , clause( 664, [ product( 'e_2', 'e_3', 'e_1' ), equalish( 'e_2', 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_3', 'e_2' ), product( 'e_2', 'e_3', 'e_1' ), product(
% 0.69/1.07 'e_3', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.69/1.07 , 0, 3, substitution( 0, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 factor(
% 0.69/1.07 clause( 666, [ product( 'e_2', 'e_3', 'e_1' ), equalish( 'e_2', 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_3', 'e_2' ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.07 , clause( 665, [ product( 'e_2', 'e_3', 'e_1' ), equalish( 'e_2', 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_3', 'e_2' ), product( 'e_3', 'e_3', 'e_1' ), product(
% 0.69/1.07 'e_2', 'e_3', 'e_2' ) ] )
% 0.69/1.07 , 2, 4, substitution( 0, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 667, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2'
% 0.69/1.07 ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.07 , clause( 6, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.69/1.07 , 0, clause( 666, [ product( 'e_2', 'e_3', 'e_1' ), equalish( 'e_2', 'e_3'
% 0.69/1.07 ), product( 'e_2', 'e_3', 'e_2' ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.07 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 256, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_1'
% 0.69/1.07 ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.69/1.07 , clause( 667, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3',
% 0.69/1.07 'e_2' ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2
% 0.69/1.07 , 1 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 668, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_3', 'e_2' ),
% 0.69/1.07 product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_1' ), product(
% 0.69/1.07 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.07 , clause( 183, [ product( 'e_2', 'e_2', 'e_1' ), equalish( X, 'e_2' ),
% 0.69/1.07 product( 'e_2', 'e_3', 'e_1' ), ~( product( 'e_2', X, 'e_2' ) ) ] )
% 0.69/1.07 , 3, clause( 256, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_3', 'e_3',
% 0.69/1.07 'e_1' ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.69/1.07 , 2, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 670, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.69/1.07 ), product( 'e_2', 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.07 , clause( 8, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.69/1.07 , 0, clause( 668, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_3', 'e_2'
% 0.69/1.07 ), product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_1' ),
% 0.69/1.07 product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.07 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 factor(
% 0.69/1.07 clause( 671, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.69/1.07 ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.07 , clause( 670, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_3',
% 0.69/1.07 'e_1' ), product( 'e_2', 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_1' ) ]
% 0.69/1.07 )
% 0.69/1.07 , 1, 2, substitution( 0, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 257, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.07 ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.07 , clause( 671, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_3',
% 0.69/1.07 'e_1' ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.69/1.07 , 2 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 677, [ equalish( X, 'e_3' ), ~( product( 'e_3', X, 'e_1' ) ),
% 0.69/1.07 product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , clause( 11, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.69/1.07 , Z ) ) ] )
% 0.69/1.07 , 2, clause( 257, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.07 'e_1' ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.07 , 2, substitution( 0, [ :=( X, 'e_3' ), :=( Y, X ), :=( Z, 'e_1' ), :=( T,
% 0.69/1.07 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 264, [ product( 'e_2', 'e_2', 'e_1' ), equalish( X, 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_3', 'e_1' ), ~( product( 'e_3', X, 'e_1' ) ) ] )
% 0.69/1.07 , clause( 677, [ equalish( X, 'e_3' ), ~( product( 'e_3', X, 'e_1' ) ),
% 0.69/1.07 product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.69/1.07 3 ), ==>( 2, 2 ), ==>( 3, 0 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 683, [ equalish( X, 'e_3' ), ~( product( X, 'e_3', 'e_1' ) ),
% 0.69/1.07 product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , clause( 12, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.69/1.07 , Z ) ) ] )
% 0.69/1.07 , 2, clause( 257, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.07 'e_1' ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.07 , 2, substitution( 0, [ :=( X, X ), :=( Y, 'e_3' ), :=( Z, 'e_1' ), :=( T,
% 0.69/1.07 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 266, [ product( 'e_2', 'e_2', 'e_1' ), equalish( X, 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_3', 'e_1' ), ~( product( X, 'e_3', 'e_1' ) ) ] )
% 0.69/1.07 , clause( 683, [ equalish( X, 'e_3' ), ~( product( X, 'e_3', 'e_1' ) ),
% 0.69/1.07 product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.69/1.07 3 ), ==>( 2, 2 ), ==>( 3, 0 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 685, [ product( 'e_1', 'e_1', 'e_3' ), product( 'e_2', 'e_3', 'e_1'
% 0.69/1.07 ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , clause( 18, [ product( Y, Y, X ), ~( product( X, X, Y ) ) ] )
% 0.69/1.07 , 1, clause( 257, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.07 'e_1' ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.07 , 2, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_1' )] ), substitution( 1
% 0.69/1.07 , [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 267, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.69/1.07 ), product( 'e_1', 'e_1', 'e_3' ) ] )
% 0.69/1.07 , clause( 685, [ product( 'e_1', 'e_1', 'e_3' ), product( 'e_2', 'e_3',
% 0.69/1.07 'e_1' ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 1 ), ==>( 2
% 0.69/1.07 , 0 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 686, [ product( 'e_1', 'e_3', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.07 product( 'e_1', 'e_3', 'e_2' ), product( 'e_2', 'e_2', 'e_1' ), product(
% 0.69/1.07 'e_2', 'e_3', 'e_1' ) ] )
% 0.69/1.07 , clause( 65, [ product( 'e_1', 'e_3', 'e_1' ), equalish( X, 'e_3' ),
% 0.69/1.07 product( 'e_1', 'e_3', 'e_2' ), ~( product( 'e_1', X, 'e_3' ) ) ] )
% 0.69/1.07 , 3, clause( 267, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_3',
% 0.69/1.07 'e_1' ), product( 'e_1', 'e_1', 'e_3' ) ] )
% 0.69/1.07 , 2, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 687, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_3', 'e_1' ), equalish( 'e_1', 'e_3' ), product( 'e_1'
% 0.69/1.07 , 'e_3', 'e_2' ), product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_3',
% 0.69/1.07 'e_1' ) ] )
% 0.69/1.07 , clause( 266, [ product( 'e_2', 'e_2', 'e_1' ), equalish( X, 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_3', 'e_1' ), ~( product( X, 'e_3', 'e_1' ) ) ] )
% 0.69/1.07 , 3, clause( 686, [ product( 'e_1', 'e_3', 'e_1' ), equalish( 'e_1', 'e_3'
% 0.69/1.07 ), product( 'e_1', 'e_3', 'e_2' ), product( 'e_2', 'e_2', 'e_1' ),
% 0.69/1.07 product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.69/1.07 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 factor(
% 0.69/1.07 clause( 688, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_3', 'e_1' ), equalish( 'e_1', 'e_3' ), product( 'e_1'
% 0.69/1.07 , 'e_3', 'e_2' ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.69/1.07 , clause( 687, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_3', 'e_1' ), equalish( 'e_1', 'e_3' ), product( 'e_1'
% 0.69/1.07 , 'e_3', 'e_2' ), product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_3',
% 0.69/1.07 'e_1' ) ] )
% 0.69/1.07 , 0, 5, substitution( 0, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 factor(
% 0.69/1.07 clause( 690, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_3', 'e_1' ), equalish( 'e_1', 'e_3' ), product( 'e_1'
% 0.69/1.07 , 'e_3', 'e_2' ) ] )
% 0.69/1.07 , clause( 688, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_3', 'e_1' ), equalish( 'e_1', 'e_3' ), product( 'e_1'
% 0.69/1.07 , 'e_3', 'e_2' ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.69/1.07 , 2, 5, substitution( 0, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 factor(
% 0.69/1.07 clause( 691, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.07 , clause( 690, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_3', 'e_1' ), equalish( 'e_1', 'e_3' ), product( 'e_1'
% 0.69/1.07 , 'e_3', 'e_2' ) ] )
% 0.69/1.07 , 1, 3, substitution( 0, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 272, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.07 , clause( 691, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.69/1.07 , 2 ), ==>( 3, 3 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 692, [ product( 'e_3', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.07 product( 'e_3', 'e_1', 'e_2' ), product( 'e_2', 'e_2', 'e_1' ), product(
% 0.69/1.07 'e_2', 'e_3', 'e_1' ) ] )
% 0.69/1.07 , clause( 94, [ product( 'e_3', 'e_1', 'e_1' ), equalish( X, 'e_3' ),
% 0.69/1.07 product( 'e_3', 'e_1', 'e_2' ), ~( product( X, 'e_1', 'e_3' ) ) ] )
% 0.69/1.07 , 3, clause( 267, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_3',
% 0.69/1.07 'e_1' ), product( 'e_1', 'e_1', 'e_3' ) ] )
% 0.69/1.07 , 2, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 693, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_3', 'e_1' ), equalish( 'e_1', 'e_3' ), product( 'e_3'
% 0.69/1.07 , 'e_1', 'e_2' ), product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_3',
% 0.69/1.07 'e_1' ) ] )
% 0.69/1.07 , clause( 264, [ product( 'e_2', 'e_2', 'e_1' ), equalish( X, 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_3', 'e_1' ), ~( product( 'e_3', X, 'e_1' ) ) ] )
% 0.69/1.07 , 3, clause( 692, [ product( 'e_3', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3'
% 0.69/1.07 ), product( 'e_3', 'e_1', 'e_2' ), product( 'e_2', 'e_2', 'e_1' ),
% 0.69/1.07 product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.69/1.07 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 factor(
% 0.69/1.07 clause( 694, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_3', 'e_1' ), equalish( 'e_1', 'e_3' ), product( 'e_3'
% 0.69/1.07 , 'e_1', 'e_2' ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.69/1.07 , clause( 693, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_3', 'e_1' ), equalish( 'e_1', 'e_3' ), product( 'e_3'
% 0.69/1.07 , 'e_1', 'e_2' ), product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_3',
% 0.69/1.07 'e_1' ) ] )
% 0.69/1.07 , 0, 5, substitution( 0, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 factor(
% 0.69/1.07 clause( 696, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_3', 'e_1' ), equalish( 'e_1', 'e_3' ), product( 'e_3'
% 0.69/1.07 , 'e_1', 'e_2' ) ] )
% 0.69/1.07 , clause( 694, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_3', 'e_1' ), equalish( 'e_1', 'e_3' ), product( 'e_3'
% 0.69/1.07 , 'e_1', 'e_2' ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.69/1.07 , 2, 5, substitution( 0, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 factor(
% 0.69/1.07 clause( 697, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.07 , clause( 696, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_3', 'e_1' ), equalish( 'e_1', 'e_3' ), product( 'e_3'
% 0.69/1.07 , 'e_1', 'e_2' ) ] )
% 0.69/1.07 , 1, 3, substitution( 0, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 273, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.07 , clause( 697, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.07 product( 'e_2', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.69/1.07 , 2 ), ==>( 3, 3 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 698, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.69/1.07 ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.07 , clause( 4, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.69/1.07 , 0, clause( 272, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3'
% 0.69/1.07 ), product( 'e_2', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.07 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 278, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.69/1.07 ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.07 , clause( 698, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_3',
% 0.69/1.07 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.69/1.07 , 2 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 699, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.69/1.07 ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.07 , clause( 4, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.69/1.07 , 0, clause( 273, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_3'
% 0.69/1.07 ), product( 'e_2', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.07 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 284, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.69/1.07 ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.07 , clause( 699, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_3',
% 0.69/1.07 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.69/1.07 , 2 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 705, [ ~( product( 'e_1', 'e_3', X ) ), product( X, 'e_2', 'e_1' )
% 0.69/1.07 , product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.69/1.07 , clause( 13, [ ~( product( X, Y, Z ) ), product( Z, T, X ), ~( product( Y
% 0.69/1.07 , X, T ) ) ] )
% 0.69/1.07 , 2, clause( 284, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_3',
% 0.69/1.07 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.69/1.07 , 2, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_3' ), :=( Z, X ), :=( T,
% 0.69/1.07 'e_2' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 285, [ product( 'e_2', 'e_2', 'e_1' ), product( X, 'e_2', 'e_1' ),
% 0.69/1.07 product( 'e_2', 'e_3', 'e_1' ), ~( product( 'e_1', 'e_3', X ) ) ] )
% 0.69/1.07 , clause( 705, [ ~( product( 'e_1', 'e_3', X ) ), product( X, 'e_2', 'e_1'
% 0.69/1.07 ), product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.69/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 0.69/1.07 1 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 factor(
% 0.69/1.07 clause( 708, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.69/1.07 ), ~( product( 'e_1', 'e_3', 'e_2' ) ) ] )
% 0.69/1.07 , clause( 285, [ product( 'e_2', 'e_2', 'e_1' ), product( X, 'e_2', 'e_1' )
% 0.69/1.07 , product( 'e_2', 'e_3', 'e_1' ), ~( product( 'e_1', 'e_3', X ) ) ] )
% 0.69/1.07 , 0, 1, substitution( 0, [ :=( X, 'e_2' )] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 709, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.69/1.07 ), product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.69/1.07 , clause( 708, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_3',
% 0.69/1.07 'e_1' ), ~( product( 'e_1', 'e_3', 'e_2' ) ) ] )
% 0.69/1.07 , 2, clause( 278, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_3',
% 0.69/1.07 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.07 , 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 factor(
% 0.69/1.07 clause( 710, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.69/1.07 ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.69/1.07 , clause( 709, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_3',
% 0.69/1.07 'e_1' ), product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1' ) ]
% 0.69/1.07 )
% 0.69/1.07 , 0, 2, substitution( 0, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 factor(
% 0.69/1.07 clause( 711, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.69/1.07 ) ] )
% 0.69/1.07 , clause( 710, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_3',
% 0.69/1.07 'e_1' ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.69/1.07 , 1, 2, substitution( 0, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 289, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.69/1.07 ) ] )
% 0.69/1.07 , clause( 711, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_3',
% 0.69/1.07 'e_1' ) ] )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.69/1.07 ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 715, [ ~( product( 'e_3', 'e_2', X ) ), product( X, 'e_1', 'e_3' )
% 0.69/1.07 , product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , clause( 13, [ ~( product( X, Y, Z ) ), product( Z, T, X ), ~( product( Y
% 0.69/1.07 , X, T ) ) ] )
% 0.69/1.07 , 2, clause( 289, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_3',
% 0.69/1.07 'e_1' ) ] )
% 0.69/1.07 , 1, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_2' ), :=( Z, X ), :=( T,
% 0.69/1.07 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 291, [ product( 'e_2', 'e_2', 'e_1' ), product( X, 'e_1', 'e_3' ),
% 0.69/1.07 ~( product( 'e_3', 'e_2', X ) ) ] )
% 0.69/1.07 , clause( 715, [ ~( product( 'e_3', 'e_2', X ) ), product( X, 'e_1', 'e_3'
% 0.69/1.07 ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.69/1.07 1 ), ==>( 2, 0 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 719, [ equalish( X, 'e_2' ), ~( product( X, 'e_3', 'e_1' ) ),
% 0.69/1.07 product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , clause( 12, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.69/1.07 , Z ) ) ] )
% 0.69/1.07 , 2, clause( 289, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_3',
% 0.69/1.07 'e_1' ) ] )
% 0.69/1.07 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'e_3' ), :=( Z, 'e_1' ), :=( T,
% 0.69/1.07 'e_2' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 294, [ equalish( X, 'e_2' ), product( 'e_2', 'e_2', 'e_1' ), ~(
% 0.69/1.07 product( X, 'e_3', 'e_1' ) ) ] )
% 0.69/1.07 , clause( 719, [ equalish( X, 'e_2' ), ~( product( X, 'e_3', 'e_1' ) ),
% 0.69/1.07 product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.69/1.07 2 ), ==>( 2, 1 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 720, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_1', 'e_3'
% 0.69/1.07 ), product( 'e_1', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , clause( 291, [ product( 'e_2', 'e_2', 'e_1' ), product( X, 'e_1', 'e_3' )
% 0.69/1.07 , ~( product( 'e_3', 'e_2', X ) ) ] )
% 0.69/1.07 , 2, clause( 216, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.07 'e_1' ), product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , 2, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 factor(
% 0.69/1.07 clause( 721, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_1', 'e_3'
% 0.69/1.07 ), product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , clause( 720, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_1',
% 0.69/1.07 'e_3' ), product( 'e_1', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_1' ) ]
% 0.69/1.07 )
% 0.69/1.07 , 0, 3, substitution( 0, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 295, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_1'
% 0.69/1.07 ), product( 'e_1', 'e_1', 'e_3' ) ] )
% 0.69/1.07 , clause( 721, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_1',
% 0.69/1.07 'e_3' ), product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2
% 0.69/1.07 , 1 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 723, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.07 ), product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , clause( 18, [ product( Y, Y, X ), ~( product( X, X, Y ) ) ] )
% 0.69/1.07 , 1, clause( 295, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_2',
% 0.69/1.07 'e_1' ), product( 'e_1', 'e_1', 'e_3' ) ] )
% 0.69/1.07 , 2, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_3' )] ), substitution( 1
% 0.69/1.07 , [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 305, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.07 ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.07 , clause( 723, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.07 'e_1' ), product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 1 ), ==>( 2
% 0.69/1.07 , 0 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 724, [ equalish( 'e_3', 'e_2' ), product( 'e_2', 'e_2', 'e_1' ),
% 0.69/1.07 product( 'e_1', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , clause( 294, [ equalish( X, 'e_2' ), product( 'e_2', 'e_2', 'e_1' ), ~(
% 0.69/1.07 product( X, 'e_3', 'e_1' ) ) ] )
% 0.69/1.07 , 2, clause( 305, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.07 'e_1' ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.07 , 2, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 726, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_1'
% 0.69/1.07 ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , clause( 8, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.69/1.07 , 0, clause( 724, [ equalish( 'e_3', 'e_2' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.07 ), product( 'e_1', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 factor(
% 0.69/1.07 clause( 727, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_1'
% 0.69/1.07 ) ] )
% 0.69/1.07 , clause( 726, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_2',
% 0.69/1.07 'e_1' ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , 0, 2, substitution( 0, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 310, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.07 ) ] )
% 0.69/1.07 , clause( 727, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_2',
% 0.69/1.07 'e_1' ) ] )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.69/1.07 ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 731, [ equalish( X, 'e_2' ), ~( product( 'e_2', X, 'e_1' ) ),
% 0.69/1.07 product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , clause( 11, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.69/1.07 , Z ) ) ] )
% 0.69/1.07 , 2, clause( 310, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.07 'e_1' ) ] )
% 0.69/1.07 , 1, substitution( 0, [ :=( X, 'e_2' ), :=( Y, X ), :=( Z, 'e_1' ), :=( T,
% 0.69/1.07 'e_2' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 312, [ equalish( X, 'e_2' ), product( 'e_1', 'e_2', 'e_1' ), ~(
% 0.69/1.07 product( 'e_2', X, 'e_1' ) ) ] )
% 0.69/1.07 , clause( 731, [ equalish( X, 'e_2' ), ~( product( 'e_2', X, 'e_1' ) ),
% 0.69/1.07 product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.69/1.07 2 ), ==>( 2, 1 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 735, [ equalish( X, 'e_2' ), ~( product( X, 'e_2', 'e_1' ) ),
% 0.69/1.07 product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , clause( 12, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.69/1.07 , Z ) ) ] )
% 0.69/1.07 , 2, clause( 310, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.07 'e_1' ) ] )
% 0.69/1.07 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'e_2' ), :=( Z, 'e_1' ), :=( T,
% 0.69/1.07 'e_2' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 314, [ equalish( X, 'e_2' ), product( 'e_1', 'e_2', 'e_1' ), ~(
% 0.69/1.07 product( X, 'e_2', 'e_1' ) ) ] )
% 0.69/1.07 , clause( 735, [ equalish( X, 'e_2' ), ~( product( X, 'e_2', 'e_1' ) ),
% 0.69/1.07 product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.69/1.07 2 ), ==>( 2, 1 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 736, [ product( 'e_1', 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_1'
% 0.69/1.07 ) ] )
% 0.69/1.07 , clause( 18, [ product( Y, Y, X ), ~( product( X, X, Y ) ) ] )
% 0.69/1.07 , 1, clause( 310, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_2', 'e_2',
% 0.69/1.07 'e_1' ) ] )
% 0.69/1.07 , 1, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_1' )] ), substitution( 1
% 0.69/1.07 , [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 315, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_1', 'e_2'
% 0.69/1.07 ) ] )
% 0.69/1.07 , clause( 736, [ product( 'e_1', 'e_1', 'e_2' ), product( 'e_1', 'e_2',
% 0.69/1.07 'e_1' ) ] )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.69/1.07 ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 740, [ ~( product( 'e_1', 'e_1', X ) ), product( X, 'e_2', 'e_1' )
% 0.69/1.07 , product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , clause( 13, [ ~( product( X, Y, Z ) ), product( Z, T, X ), ~( product( Y
% 0.69/1.07 , X, T ) ) ] )
% 0.69/1.07 , 2, clause( 315, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_1',
% 0.69/1.07 'e_2' ) ] )
% 0.69/1.07 , 1, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_1' ), :=( Z, X ), :=( T,
% 0.69/1.07 'e_2' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 316, [ product( 'e_1', 'e_2', 'e_1' ), product( X, 'e_2', 'e_1' ),
% 0.69/1.07 ~( product( 'e_1', 'e_1', X ) ) ] )
% 0.69/1.07 , clause( 740, [ ~( product( 'e_1', 'e_1', X ) ), product( X, 'e_2', 'e_1'
% 0.69/1.07 ), product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.69/1.07 1 ), ==>( 2, 0 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 746, [ equalish( X, 'e_1' ), ~( product( 'e_1', X, 'e_2' ) ),
% 0.69/1.07 product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , clause( 11, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.69/1.07 , Z ) ) ] )
% 0.69/1.07 , 2, clause( 315, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_1',
% 0.69/1.07 'e_2' ) ] )
% 0.69/1.07 , 1, substitution( 0, [ :=( X, 'e_1' ), :=( Y, X ), :=( Z, 'e_2' ), :=( T,
% 0.69/1.07 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 317, [ equalish( X, 'e_1' ), product( 'e_1', 'e_2', 'e_1' ), ~(
% 0.69/1.07 product( 'e_1', X, 'e_2' ) ) ] )
% 0.69/1.07 , clause( 746, [ equalish( X, 'e_1' ), ~( product( 'e_1', X, 'e_2' ) ),
% 0.69/1.07 product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.69/1.07 2 ), ==>( 2, 1 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 748, [ equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_2', 'e_1' ),
% 0.69/1.07 product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ), product(
% 0.69/1.07 'e_1', 'e_2', 'e_2' ) ] )
% 0.69/1.07 , clause( 317, [ equalish( X, 'e_1' ), product( 'e_1', 'e_2', 'e_1' ), ~(
% 0.69/1.07 product( 'e_1', X, 'e_2' ) ) ] )
% 0.69/1.07 , 2, clause( 129, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_3',
% 0.69/1.07 'e_1' ), product( 'e_1', 'e_2', 'e_2' ), product( 'e_1', 'e_3', 'e_2' ) ]
% 0.69/1.07 )
% 0.69/1.07 , 3, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 751, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_1'
% 0.69/1.07 ), product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.69/1.07 , clause( 7, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.69/1.07 , 0, clause( 748, [ equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_2', 'e_1'
% 0.69/1.07 ), product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ),
% 0.69/1.07 product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.69/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 factor(
% 0.69/1.07 clause( 752, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.69/1.07 ), product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.69/1.07 , clause( 751, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2',
% 0.69/1.07 'e_1' ), product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_2', 'e_2' ) ]
% 0.69/1.07 )
% 0.69/1.07 , 0, 1, substitution( 0, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 337, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.69/1.07 ), product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.69/1.07 , clause( 752, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_3',
% 0.69/1.07 'e_1' ), product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.69/1.07 , 2 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 753, [ equalish( 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_1' ),
% 0.69/1.07 product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.69/1.07 , clause( 317, [ equalish( X, 'e_1' ), product( 'e_1', 'e_2', 'e_1' ), ~(
% 0.69/1.07 product( 'e_1', X, 'e_2' ) ) ] )
% 0.69/1.07 , 2, clause( 337, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_3',
% 0.69/1.07 'e_1' ), product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.69/1.07 , 2, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 755, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_1'
% 0.69/1.07 ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.69/1.07 , clause( 5, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.69/1.07 , 0, clause( 753, [ equalish( 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_1'
% 0.69/1.07 ), product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.69/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 factor(
% 0.69/1.07 clause( 756, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.69/1.07 ) ] )
% 0.69/1.07 , clause( 755, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2',
% 0.69/1.07 'e_1' ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.69/1.07 , 0, 1, substitution( 0, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 339, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.69/1.07 ) ] )
% 0.69/1.07 , clause( 756, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_3',
% 0.69/1.07 'e_1' ) ] )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.69/1.07 ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 757, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_1'
% 0.69/1.07 ), product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , clause( 233, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_1',
% 0.69/1.07 'e_1' ), ~( product( 'e_1', 'e_3', 'e_1' ) ) ] )
% 0.69/1.07 , 2, clause( 339, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_3',
% 0.69/1.07 'e_1' ) ] )
% 0.69/1.07 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 758, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_1'
% 0.69/1.07 ), product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , clause( 316, [ product( 'e_1', 'e_2', 'e_1' ), product( X, 'e_2', 'e_1' )
% 0.69/1.07 , ~( product( 'e_1', 'e_1', X ) ) ] )
% 0.69/1.07 , 2, clause( 757, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_2', 'e_1',
% 0.69/1.07 'e_1' ), product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 factor(
% 0.69/1.07 clause( 759, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_2', 'e_1', 'e_1'
% 0.69/1.07 ), product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , clause( 758, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2',
% 0.69/1.07 'e_1' ), product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_2', 'e_1' ) ]
% 0.69/1.07 )
% 0.69/1.07 , 0, 1, substitution( 0, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 factor(
% 0.69/1.07 clause( 760, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_2', 'e_1', 'e_1'
% 0.69/1.07 ) ] )
% 0.69/1.07 , clause( 759, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_2', 'e_1',
% 0.69/1.07 'e_1' ), product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , 0, 2, substitution( 0, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 341, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_2', 'e_1'
% 0.69/1.07 ) ] )
% 0.69/1.07 , clause( 760, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_2', 'e_1',
% 0.69/1.07 'e_1' ) ] )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.69/1.07 ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 761, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_1' ),
% 0.69/1.07 product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.69/1.07 , clause( 314, [ equalish( X, 'e_2' ), product( 'e_1', 'e_2', 'e_1' ), ~(
% 0.69/1.07 product( X, 'e_2', 'e_1' ) ) ] )
% 0.69/1.07 , 2, clause( 341, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_2',
% 0.69/1.07 'e_1' ) ] )
% 0.69/1.07 , 1, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 762, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_1' ),
% 0.69/1.07 equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , clause( 312, [ equalish( X, 'e_2' ), product( 'e_1', 'e_2', 'e_1' ), ~(
% 0.69/1.07 product( 'e_2', X, 'e_1' ) ) ] )
% 0.69/1.07 , 2, clause( 761, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_1'
% 0.69/1.07 ), product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.69/1.07 , 2, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 factor(
% 0.69/1.07 clause( 764, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_1' ),
% 0.69/1.07 equalish( 'e_1', 'e_2' ) ] )
% 0.69/1.07 , clause( 762, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_1' ),
% 0.69/1.07 equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , 1, 3, substitution( 0, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 factor(
% 0.69/1.07 clause( 765, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_1' ) ]
% 0.69/1.07 )
% 0.69/1.07 , clause( 764, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_1' ),
% 0.69/1.07 equalish( 'e_1', 'e_2' ) ] )
% 0.69/1.07 , 0, 2, substitution( 0, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 346, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_1' ) ]
% 0.69/1.07 )
% 0.69/1.07 , clause( 765, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_1' ) ]
% 0.69/1.07 )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.69/1.07 ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 766, [ product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , clause( 3, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.69/1.07 , 0, clause( 346, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_1'
% 0.69/1.07 ) ] )
% 0.69/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 353, [ product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , clause( 766, [ product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 767, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_1', 'e_1' ) ]
% 0.69/1.07 )
% 0.69/1.07 , clause( 154, [ equalish( X, 'e_2' ), product( 'e_1', 'e_1', 'e_1' ), ~(
% 0.69/1.07 product( X, 'e_2', 'e_1' ) ) ] )
% 0.69/1.07 , 2, clause( 353, [ product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 768, [ product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.69/1.07 , clause( 3, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.69/1.07 , 0, clause( 767, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_1', 'e_1'
% 0.69/1.07 ) ] )
% 0.69/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 359, [ product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.69/1.07 , clause( 768, [ product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 770, [ equalish( X, 'e_2' ), ~( product( 'e_1', X, 'e_1' ) ) ] )
% 0.69/1.07 , clause( 11, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.69/1.07 , Z ) ) ] )
% 0.69/1.07 , 2, clause( 353, [ product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , 0, substitution( 0, [ :=( X, 'e_1' ), :=( Y, X ), :=( Z, 'e_1' ), :=( T,
% 0.69/1.07 'e_2' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 361, [ equalish( X, 'e_2' ), ~( product( 'e_1', X, 'e_1' ) ) ] )
% 0.69/1.07 , clause( 770, [ equalish( X, 'e_2' ), ~( product( 'e_1', X, 'e_1' ) ) ] )
% 0.69/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.69/1.07 1 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 771, [ product( 'e_1', 'e_1', 'e_1' ), equalish( 'e_1', 'e_2' ),
% 0.69/1.07 product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.07 , clause( 101, [ product( 'e_1', 'e_1', 'e_1' ), equalish( X, 'e_2' ),
% 0.69/1.07 product( 'e_3', 'e_3', 'e_1' ), ~( product( 'e_1', 'e_1', X ) ) ] )
% 0.69/1.07 , 3, clause( 359, [ product( 'e_1', 'e_1', 'e_1' ) ] )
% 0.69/1.07 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 772, [ equalish( 'e_1', 'e_2' ), equalish( 'e_1', 'e_2' ), product(
% 0.69/1.07 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.07 , clause( 361, [ equalish( X, 'e_2' ), ~( product( 'e_1', X, 'e_1' ) ) ] )
% 0.69/1.07 , 1, clause( 771, [ product( 'e_1', 'e_1', 'e_1' ), equalish( 'e_1', 'e_2'
% 0.69/1.07 ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.07 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 factor(
% 0.69/1.07 clause( 773, [ equalish( 'e_1', 'e_2' ), product( 'e_3', 'e_3', 'e_1' ) ]
% 0.69/1.07 )
% 0.69/1.07 , clause( 772, [ equalish( 'e_1', 'e_2' ), equalish( 'e_1', 'e_2' ),
% 0.69/1.07 product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.07 , 0, 1, substitution( 0, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 364, [ equalish( 'e_1', 'e_2' ), product( 'e_3', 'e_3', 'e_1' ) ]
% 0.69/1.07 )
% 0.69/1.07 , clause( 773, [ equalish( 'e_1', 'e_2' ), product( 'e_3', 'e_3', 'e_1' ) ]
% 0.69/1.07 )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.69/1.07 ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 774, [ product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.07 , clause( 3, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.69/1.07 , 0, clause( 364, [ equalish( 'e_1', 'e_2' ), product( 'e_3', 'e_3', 'e_1'
% 0.69/1.07 ) ] )
% 0.69/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 369, [ product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.07 , clause( 774, [ product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 775, [ equalish( 'e_3', 'e_2' ), product( 'e_2', 'e_2', 'e_1' ) ]
% 0.69/1.07 )
% 0.69/1.07 , clause( 294, [ equalish( X, 'e_2' ), product( 'e_2', 'e_2', 'e_1' ), ~(
% 0.69/1.07 product( X, 'e_3', 'e_1' ) ) ] )
% 0.69/1.07 , 2, clause( 369, [ product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.07 , 0, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 776, [ product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , clause( 8, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.69/1.07 , 0, clause( 775, [ equalish( 'e_3', 'e_2' ), product( 'e_2', 'e_2', 'e_1'
% 0.69/1.07 ) ] )
% 0.69/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 370, [ product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , clause( 776, [ product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 778, [ equalish( X, 'e_3' ), ~( product( X, 'e_3', 'e_1' ) ) ] )
% 0.69/1.07 , clause( 12, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.69/1.07 , Z ) ) ] )
% 0.69/1.07 , 2, clause( 369, [ product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_3' ), :=( Z, 'e_1' ), :=( T,
% 0.69/1.07 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 374, [ equalish( X, 'e_3' ), ~( product( X, 'e_3', 'e_1' ) ) ] )
% 0.69/1.07 , clause( 778, [ equalish( X, 'e_3' ), ~( product( X, 'e_3', 'e_1' ) ) ] )
% 0.69/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.69/1.07 1 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 779, [ product( 'e_1', 'e_1', 'e_3' ) ] )
% 0.69/1.07 , clause( 18, [ product( Y, Y, X ), ~( product( X, X, Y ) ) ] )
% 0.69/1.07 , 1, clause( 369, [ product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.69/1.07 , 0, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_1' )] ), substitution( 1
% 0.69/1.07 , [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 375, [ product( 'e_1', 'e_1', 'e_3' ) ] )
% 0.69/1.07 , clause( 779, [ product( 'e_1', 'e_1', 'e_3' ) ] )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 781, [ equalish( X, 'e_2' ), ~( product( X, 'e_2', 'e_1' ) ) ] )
% 0.69/1.07 , clause( 12, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.69/1.07 , Z ) ) ] )
% 0.69/1.07 , 2, clause( 370, [ product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.69/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_2' ), :=( Z, 'e_1' ), :=( T,
% 0.69/1.07 'e_2' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 379, [ equalish( X, 'e_2' ), ~( product( X, 'e_2', 'e_1' ) ) ] )
% 0.69/1.07 , clause( 781, [ equalish( X, 'e_2' ), ~( product( X, 'e_2', 'e_1' ) ) ] )
% 0.69/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.69/1.07 1 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 782, [ product( 'e_1', 'e_3', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.07 product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.07 , clause( 65, [ product( 'e_1', 'e_3', 'e_1' ), equalish( X, 'e_3' ),
% 0.69/1.07 product( 'e_1', 'e_3', 'e_2' ), ~( product( 'e_1', X, 'e_3' ) ) ] )
% 0.69/1.07 , 3, clause( 375, [ product( 'e_1', 'e_1', 'e_3' ) ] )
% 0.69/1.07 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 783, [ equalish( 'e_1', 'e_3' ), equalish( 'e_1', 'e_3' ), product(
% 0.69/1.07 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.07 , clause( 374, [ equalish( X, 'e_3' ), ~( product( X, 'e_3', 'e_1' ) ) ] )
% 0.69/1.07 , 1, clause( 782, [ product( 'e_1', 'e_3', 'e_1' ), equalish( 'e_1', 'e_3'
% 0.69/1.07 ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.07 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 factor(
% 0.69/1.07 clause( 784, [ equalish( 'e_1', 'e_3' ), product( 'e_1', 'e_3', 'e_2' ) ]
% 0.69/1.07 )
% 0.69/1.07 , clause( 783, [ equalish( 'e_1', 'e_3' ), equalish( 'e_1', 'e_3' ),
% 0.69/1.07 product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.07 , 0, 1, substitution( 0, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 386, [ equalish( 'e_1', 'e_3' ), product( 'e_1', 'e_3', 'e_2' ) ]
% 0.69/1.07 )
% 0.69/1.07 , clause( 784, [ equalish( 'e_1', 'e_3' ), product( 'e_1', 'e_3', 'e_2' ) ]
% 0.69/1.07 )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.69/1.07 ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 785, [ product( 'e_1', 'e_2', 'e_1' ), equalish( 'e_1', 'e_2' ),
% 0.69/1.07 product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.69/1.07 , clause( 52, [ product( 'e_1', 'e_2', 'e_1' ), equalish( X, 'e_2' ),
% 0.69/1.07 product( 'e_1', 'e_2', 'e_2' ), ~( product( 'e_1', X, 'e_3' ) ) ] )
% 0.69/1.07 , 3, clause( 375, [ product( 'e_1', 'e_1', 'e_3' ) ] )
% 0.69/1.07 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 786, [ equalish( 'e_1', 'e_2' ), equalish( 'e_1', 'e_2' ), product(
% 0.69/1.07 'e_1', 'e_2', 'e_2' ) ] )
% 0.69/1.07 , clause( 379, [ equalish( X, 'e_2' ), ~( product( X, 'e_2', 'e_1' ) ) ] )
% 0.69/1.07 , 1, clause( 785, [ product( 'e_1', 'e_2', 'e_1' ), equalish( 'e_1', 'e_2'
% 0.69/1.07 ), product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.69/1.07 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 factor(
% 0.69/1.07 clause( 787, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_2' ) ]
% 0.69/1.07 )
% 0.69/1.07 , clause( 786, [ equalish( 'e_1', 'e_2' ), equalish( 'e_1', 'e_2' ),
% 0.69/1.07 product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.69/1.07 , 0, 1, substitution( 0, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 388, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_2' ) ]
% 0.69/1.07 )
% 0.69/1.07 , clause( 787, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_2' ) ]
% 0.69/1.07 )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.69/1.07 ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 788, [ product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.07 , clause( 4, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.69/1.07 , 0, clause( 386, [ equalish( 'e_1', 'e_3' ), product( 'e_1', 'e_3', 'e_2'
% 0.69/1.07 ) ] )
% 0.69/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 404, [ product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.07 , clause( 788, [ product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 resolution(
% 0.69/1.07 clause( 789, [ product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.75/1.07 , clause( 3, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.75/1.07 , 0, clause( 388, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_2'
% 0.75/1.07 ) ] )
% 0.75/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.75/1.07
% 0.75/1.07
% 0.75/1.07 subsumption(
% 0.75/1.07 clause( 415, [ product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.75/1.07 , clause( 789, [ product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.75/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.07
% 0.75/1.07
% 0.75/1.07 resolution(
% 0.75/1.07 clause( 791, [ equalish( X, 'e_2' ), ~( product( 'e_1', X, 'e_2' ) ) ] )
% 0.75/1.07 , clause( 11, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.75/1.07 , Z ) ) ] )
% 0.75/1.07 , 2, clause( 415, [ product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.75/1.07 , 0, substitution( 0, [ :=( X, 'e_1' ), :=( Y, X ), :=( Z, 'e_2' ), :=( T,
% 0.75/1.07 'e_2' )] ), substitution( 1, [] )).
% 0.75/1.07
% 0.75/1.07
% 0.75/1.07 subsumption(
% 0.75/1.07 clause( 417, [ equalish( X, 'e_2' ), ~( product( 'e_1', X, 'e_2' ) ) ] )
% 0.75/1.07 , clause( 791, [ equalish( X, 'e_2' ), ~( product( 'e_1', X, 'e_2' ) ) ] )
% 0.75/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.75/1.07 1 )] ) ).
% 0.75/1.07
% 0.75/1.07
% 0.75/1.07 resolution(
% 0.75/1.07 clause( 792, [ equalish( 'e_3', 'e_2' ) ] )
% 0.75/1.07 , clause( 417, [ equalish( X, 'e_2' ), ~( product( 'e_1', X, 'e_2' ) ) ] )
% 0.75/1.07 , 1, clause( 404, [ product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.75/1.07 , 0, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.75/1.07
% 0.75/1.07
% 0.75/1.07 resolution(
% 0.75/1.07 clause( 793, [] )
% 0.75/1.07 , clause( 8, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.75/1.07 , 0, clause( 792, [ equalish( 'e_3', 'e_2' ) ] )
% 0.75/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.75/1.07
% 0.75/1.07
% 0.75/1.07 subsumption(
% 0.75/1.07 clause( 425, [] )
% 0.75/1.07 , clause( 793, [] )
% 0.75/1.07 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.75/1.07
% 0.75/1.07
% 0.75/1.07 end.
% 0.75/1.07
% 0.75/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.75/1.07
% 0.75/1.07 Memory use:
% 0.75/1.07
% 0.75/1.07 space for terms: 6477
% 0.75/1.07 space for clauses: 19048
% 0.75/1.07
% 0.75/1.07
% 0.75/1.07 clauses generated: 1415
% 0.75/1.07 clauses kept: 426
% 0.75/1.07 clauses selected: 194
% 0.75/1.07 clauses deleted: 63
% 0.75/1.07 clauses inuse deleted: 0
% 0.75/1.07
% 0.75/1.07 subsentry: 5211
% 0.75/1.07 literals s-matched: 2937
% 0.75/1.07 literals matched: 2120
% 0.75/1.07 full subsumption: 351
% 0.75/1.07
% 0.75/1.07 checksum: -469929351
% 0.75/1.07
% 0.75/1.07
% 0.75/1.07 Bliksem ended
%------------------------------------------------------------------------------