TSTP Solution File: GRP124-2.004 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP124-2.004 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n003.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 07:35:04 EDT 2022
% Result : Unsatisfiable 0.69s 1.09s
% Output : Refutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GRP124-2.004 : TPTP v8.1.0. Released v1.2.0.
% 0.08/0.14 % Command : bliksem %s
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Tue Jun 14 05:46:55 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.69/1.09 *** allocated 10000 integers for termspace/termends
% 0.69/1.09 *** allocated 10000 integers for clauses
% 0.69/1.09 *** allocated 10000 integers for justifications
% 0.69/1.09 Bliksem 1.12
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Automatic Strategy Selection
% 0.69/1.09
% 0.69/1.09 Clauses:
% 0.69/1.09 [
% 0.69/1.09 [ next( 'e_1', 'e_2' ) ],
% 0.69/1.09 [ next( 'e_2', 'e_3' ) ],
% 0.69/1.09 [ next( 'e_3', 'e_4' ) ],
% 0.69/1.09 [ greater( 'e_2', 'e_1' ) ],
% 0.69/1.09 [ greater( 'e_3', 'e_1' ) ],
% 0.69/1.09 [ greater( 'e_4', 'e_1' ) ],
% 0.69/1.09 [ greater( 'e_3', 'e_2' ) ],
% 0.69/1.09 [ greater( 'e_4', 'e_2' ) ],
% 0.69/1.09 [ greater( 'e_4', 'e_3' ) ],
% 0.69/1.09 [ ~( product( X, 'e_1', Y ) ), ~( next( X, Z ) ), ~( greater( Y, Z ) ) ]
% 0.69/1.09 ,
% 0.69/1.09 [ 'group_element'( 'e_1' ) ],
% 0.69/1.09 [ 'group_element'( 'e_2' ) ],
% 0.69/1.09 [ 'group_element'( 'e_3' ) ],
% 0.69/1.09 [ 'group_element'( 'e_4' ) ],
% 0.69/1.09 [ ~( equalish( 'e_1', 'e_2' ) ) ],
% 0.69/1.09 [ ~( equalish( 'e_1', 'e_3' ) ) ],
% 0.69/1.09 [ ~( equalish( 'e_1', 'e_4' ) ) ],
% 0.69/1.09 [ ~( equalish( 'e_2', 'e_1' ) ) ],
% 0.69/1.09 [ ~( equalish( 'e_2', 'e_3' ) ) ],
% 0.69/1.09 [ ~( equalish( 'e_2', 'e_4' ) ) ],
% 0.69/1.09 [ ~( equalish( 'e_3', 'e_1' ) ) ],
% 0.69/1.09 [ ~( equalish( 'e_3', 'e_2' ) ) ],
% 0.69/1.09 [ ~( equalish( 'e_3', 'e_4' ) ) ],
% 0.69/1.09 [ ~( equalish( 'e_4', 'e_1' ) ) ],
% 0.69/1.09 [ ~( equalish( 'e_4', 'e_2' ) ) ],
% 0.69/1.09 [ ~( equalish( 'e_4', 'e_3' ) ) ],
% 0.69/1.09 [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ), product( X, Y,
% 0.69/1.09 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ), product( X, Y,
% 0.69/1.09 'e_4' ) ],
% 0.69/1.09 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish( Z, T ) ]
% 0.69/1.09 ,
% 0.69/1.09 [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish( Y, T ) ]
% 0.69/1.09 ,
% 0.69/1.09 [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish( X, T ) ]
% 0.69/1.09 ,
% 0.69/1.09 [ product( X, X, X ) ],
% 0.69/1.09 [ ~( product( X, Y, Z ) ), ~( product( T, U, Z ) ), ~( product( W, X, Y
% 0.69/1.09 ) ), ~( product( W, T, U ) ), equalish( X, T ) ],
% 0.69/1.09 [ ~( product( X, Y, Z ) ), ~( product( T, U, Z ) ), ~( product( W, X, Y
% 0.69/1.09 ) ), ~( product( W, T, U ) ), equalish( Y, U ) ]
% 0.69/1.09 ] .
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 percentage equality = 0.000000, percentage horn = 0.969697
% 0.69/1.09 This is a near-Horn, non-equality problem
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Options Used:
% 0.69/1.09
% 0.69/1.09 useres = 1
% 0.69/1.09 useparamod = 0
% 0.69/1.09 useeqrefl = 0
% 0.69/1.09 useeqfact = 0
% 0.69/1.09 usefactor = 1
% 0.69/1.09 usesimpsplitting = 0
% 0.69/1.09 usesimpdemod = 0
% 0.69/1.09 usesimpres = 4
% 0.69/1.09
% 0.69/1.09 resimpinuse = 1000
% 0.69/1.09 resimpclauses = 20000
% 0.69/1.09 substype = standard
% 0.69/1.09 backwardsubs = 1
% 0.69/1.09 selectoldest = 5
% 0.69/1.09
% 0.69/1.09 litorderings [0] = split
% 0.69/1.09 litorderings [1] = liftord
% 0.69/1.09
% 0.69/1.09 termordering = none
% 0.69/1.09
% 0.69/1.09 litapriori = 1
% 0.69/1.09 termapriori = 0
% 0.69/1.09 litaposteriori = 0
% 0.69/1.09 termaposteriori = 0
% 0.69/1.09 demodaposteriori = 0
% 0.69/1.09 ordereqreflfact = 0
% 0.69/1.09
% 0.69/1.09 litselect = negative
% 0.69/1.09
% 0.69/1.09 maxweight = 30000
% 0.69/1.09 maxdepth = 30000
% 0.69/1.09 maxlength = 115
% 0.69/1.09 maxnrvars = 195
% 0.69/1.09 excuselevel = 0
% 0.69/1.09 increasemaxweight = 0
% 0.69/1.09
% 0.69/1.09 maxselected = 10000000
% 0.69/1.09 maxnrclauses = 10000000
% 0.69/1.09
% 0.69/1.09 showgenerated = 0
% 0.69/1.09 showkept = 0
% 0.69/1.09 showselected = 0
% 0.69/1.09 showdeleted = 0
% 0.69/1.09 showresimp = 1
% 0.69/1.09 showstatus = 2000
% 0.69/1.09
% 0.69/1.09 prologoutput = 1
% 0.69/1.09 nrgoals = 5000000
% 0.69/1.09 totalproof = 1
% 0.69/1.09
% 0.69/1.09 Symbols occurring in the translation:
% 0.69/1.09
% 0.69/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.69/1.09 . [1, 2] (w:1, o:29, a:1, s:1, b:0),
% 0.69/1.09 ! [4, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.69/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.09 'e_1' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.69/1.09 'e_2' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.69/1.09 next [41, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.69/1.09 'e_3' [42, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.69/1.09 'e_4' [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.69/1.09 greater [44, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.69/1.09 product [47, 3] (w:1, o:57, a:1, s:1, b:0),
% 0.69/1.09 'group_element' [49, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.69/1.09 equalish [50, 2] (w:1, o:56, a:1, s:1, b:0).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Starting Search:
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Bliksems!, er is een bewijs:
% 0.69/1.09 % SZS status Unsatisfiable
% 0.69/1.09 % SZS output start Refutation
% 0.69/1.09
% 0.69/1.09 clause( 1, [ next( 'e_2', 'e_3' ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 8, [ greater( 'e_4', 'e_3' ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 9, [ ~( product( X, 'e_1', Y ) ), ~( greater( Y, Z ) ), ~( next( X
% 0.69/1.09 , Z ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 10, [ 'group_element'( 'e_1' ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 11, [ 'group_element'( 'e_2' ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 12, [ 'group_element'( 'e_3' ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 13, [ 'group_element'( 'e_4' ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 14, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 15, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 16, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 17, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 19, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 20, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 21, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 22, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 23, [ ~( equalish( 'e_4', 'e_1' ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 24, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 25, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 26, [ ~( 'group_element'( X ) ), product( X, Y, 'e_4' ), product( X
% 0.69/1.09 , Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ), ~(
% 0.69/1.09 'group_element'( Y ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 28, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T,
% 0.69/1.09 Z ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 29, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y,
% 0.69/1.09 Z ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 30, [ product( X, X, X ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 31, [ equalish( X, T ), ~( product( W, X, Y ) ), ~( product( T, U,
% 0.69/1.09 Z ) ), ~( product( X, Y, Z ) ), ~( product( W, T, U ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 32, [ equalish( Y, U ), ~( product( W, X, Y ) ), ~( product( T, U,
% 0.69/1.09 Z ) ), ~( product( X, Y, Z ) ), ~( product( W, T, U ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 38, [ equalish( X, Y ), ~( product( X, Y, Z ) ), ~( product( Y, Z,
% 0.69/1.09 X ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 39, [ equalish( X, Y ), ~( product( X, Z, Y ) ), ~( product( Y, X,
% 0.69/1.09 Z ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 43, [ equalish( X, Y ), ~( product( X, Z, Y ) ), ~( product( Z, Y,
% 0.69/1.09 X ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 47, [ ~( product( 'e_2', 'e_1', X ) ), ~( greater( X, 'e_3' ) ) ]
% 0.69/1.09 )
% 0.69/1.09 .
% 0.69/1.09 clause( 49, [ product( X, 'e_1', 'e_4' ), product( X, 'e_1', 'e_1' ),
% 0.69/1.09 product( X, 'e_1', 'e_2' ), product( X, 'e_1', 'e_3' ), ~(
% 0.69/1.09 'group_element'( X ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 50, [ product( X, 'e_2', 'e_4' ), product( X, 'e_2', 'e_1' ),
% 0.69/1.09 product( X, 'e_2', 'e_2' ), product( X, 'e_2', 'e_3' ), ~(
% 0.69/1.09 'group_element'( X ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 51, [ product( X, 'e_3', 'e_4' ), product( X, 'e_3', 'e_1' ),
% 0.69/1.09 product( X, 'e_3', 'e_2' ), product( X, 'e_3', 'e_3' ), ~(
% 0.69/1.09 'group_element'( X ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 52, [ product( X, 'e_4', 'e_4' ), product( X, 'e_4', 'e_1' ),
% 0.69/1.09 product( X, 'e_4', 'e_2' ), product( X, 'e_4', 'e_3' ), ~(
% 0.69/1.09 'group_element'( X ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 53, [ ~( product( 'e_2', 'e_1', 'e_4' ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 57, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 58, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 61, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2'
% 0.69/1.09 ), product( 'e_2', 'e_1', 'e_3' ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 63, [ product( 'e_4', 'e_1', 'e_1' ), product( 'e_4', 'e_1', 'e_2'
% 0.69/1.09 ), product( 'e_4', 'e_1', 'e_3' ), product( 'e_4', 'e_1', 'e_4' ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 69, [ product( 'e_2', 'e_1', 'e_1' ), equalish( X, 'e_2' ), product(
% 0.69/1.09 'e_2', 'e_1', 'e_2' ), ~( product( X, 'e_1', 'e_3' ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 77, [ product( 'e_4', 'e_2', 'e_1' ), product( 'e_4', 'e_2', 'e_2'
% 0.69/1.09 ), product( 'e_4', 'e_2', 'e_3' ), product( 'e_4', 'e_2', 'e_4' ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 78, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2'
% 0.69/1.09 ), product( 'e_1', 'e_3', 'e_3' ), product( 'e_1', 'e_3', 'e_4' ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 80, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3', 'e_2'
% 0.69/1.09 ), product( 'e_4', 'e_3', 'e_3' ), product( 'e_4', 'e_3', 'e_4' ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 83, [ product( 'e_1', 'e_3', 'e_2' ), equalish( 'e_3', 'e_1' ),
% 0.69/1.09 product( 'e_1', 'e_3', 'e_3' ), ~( product( 'e_3', 'e_4', 'e_1' ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 90, [ product( 'e_1', 'e_3', 'e_2' ), product( 'e_1', 'e_3', 'e_3'
% 0.69/1.09 ), ~( product( 'e_3', 'e_4', 'e_1' ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 91, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_2'
% 0.69/1.09 ), product( 'e_1', 'e_4', 'e_3' ), product( 'e_1', 'e_4', 'e_4' ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 92, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_2'
% 0.69/1.09 ), product( 'e_2', 'e_4', 'e_3' ), product( 'e_2', 'e_4', 'e_4' ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 93, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4', 'e_2'
% 0.69/1.09 ), product( 'e_3', 'e_4', 'e_3' ), product( 'e_3', 'e_4', 'e_4' ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 99, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_2'
% 0.69/1.09 ), product( 'e_1', 'e_4', 'e_3' ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 102, [ equalish( 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_2' ),
% 0.69/1.09 ~( product( 'e_4', 'e_3', 'e_1' ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 109, [ product( 'e_1', 'e_4', 'e_2' ), ~( product( 'e_4', 'e_3',
% 0.69/1.09 'e_1' ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 128, [ product( 'e_4', 'e_1', 'e_1' ), product( 'e_4', 'e_1', 'e_2'
% 0.69/1.09 ), product( 'e_4', 'e_1', 'e_3' ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 129, [ product( 'e_4', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_1'
% 0.69/1.09 ), product( 'e_2', 'e_1', 'e_2' ), product( 'e_4', 'e_1', 'e_2' ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 146, [ product( 'e_4', 'e_1', 'e_1' ), equalish( 'e_2', 'e_1' ),
% 0.69/1.09 product( 'e_2', 'e_1', 'e_2' ), ~( product( 'e_2', 'e_4', 'e_1' ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 155, [ product( 'e_4', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2'
% 0.69/1.09 ), ~( product( 'e_2', 'e_4', 'e_1' ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 180, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_2'
% 0.69/1.09 ), product( 'e_2', 'e_4', 'e_3' ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 197, [ equalish( 'e_4', 'e_2' ), product( 'e_2', 'e_4', 'e_1' ),
% 0.69/1.09 ~( product( 'e_4', 'e_3', 'e_2' ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 204, [ product( 'e_2', 'e_4', 'e_1' ), ~( product( 'e_4', 'e_3',
% 0.69/1.09 'e_2' ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 227, [ product( 'e_4', 'e_2', 'e_1' ), product( 'e_4', 'e_2', 'e_2'
% 0.69/1.09 ), product( 'e_4', 'e_2', 'e_3' ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 233, [ product( 'e_4', 'e_2', 'e_1' ), product( 'e_4', 'e_2', 'e_2'
% 0.69/1.09 ), ~( product( 'e_3', 'e_4', 'e_2' ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 259, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3', 'e_2'
% 0.69/1.09 ), product( 'e_4', 'e_3', 'e_3' ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 268, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3', 'e_2'
% 0.69/1.09 ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 269, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_2', 'e_4', 'e_1'
% 0.69/1.09 ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 279, [ product( 'e_4', 'e_1', 'e_1' ), product( 'e_4', 'e_3', 'e_1'
% 0.69/1.09 ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 287, [ equalish( X, 'e_2' ), product( 'e_4', 'e_3', 'e_1' ), ~(
% 0.69/1.09 product( X, 'e_4', 'e_1' ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 306, [ product( 'e_4', 'e_1', 'e_1' ), product( 'e_4', 'e_3', 'e_1'
% 0.69/1.09 ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 307, [ product( 'e_4', 'e_1', 'e_1' ), product( 'e_1', 'e_4', 'e_2'
% 0.69/1.09 ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 318, [ equalish( 'e_4', 'e_1' ), ~( product( 'e_4', 'e_2', 'e_1' )
% 0.69/1.09 ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 328, [ ~( product( 'e_4', 'e_2', 'e_1' ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 360, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4', 'e_2'
% 0.69/1.09 ), product( 'e_3', 'e_4', 'e_3' ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 370, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4', 'e_2'
% 0.69/1.09 ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 373, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_4', 'e_2', 'e_2'
% 0.69/1.09 ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 411, [ product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 412, [ product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 414, [ product( 'e_1', 'e_3', 'e_2' ), product( 'e_1', 'e_3', 'e_3'
% 0.69/1.09 ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 423, [ product( 'e_1', 'e_4', 'e_2' ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 436, [ equalish( X, 'e_4' ), ~( product( 'e_1', X, 'e_2' ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 445, [ product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 446, [] )
% 0.69/1.09 .
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 % SZS output end Refutation
% 0.69/1.09 found a proof!
% 0.69/1.09
% 0.69/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.09
% 0.69/1.09 initialclauses(
% 0.69/1.09 [ clause( 448, [ next( 'e_1', 'e_2' ) ] )
% 0.69/1.09 , clause( 449, [ next( 'e_2', 'e_3' ) ] )
% 0.69/1.09 , clause( 450, [ next( 'e_3', 'e_4' ) ] )
% 0.69/1.09 , clause( 451, [ greater( 'e_2', 'e_1' ) ] )
% 0.69/1.09 , clause( 452, [ greater( 'e_3', 'e_1' ) ] )
% 0.69/1.09 , clause( 453, [ greater( 'e_4', 'e_1' ) ] )
% 0.69/1.09 , clause( 454, [ greater( 'e_3', 'e_2' ) ] )
% 0.69/1.09 , clause( 455, [ greater( 'e_4', 'e_2' ) ] )
% 0.69/1.09 , clause( 456, [ greater( 'e_4', 'e_3' ) ] )
% 0.69/1.09 , clause( 457, [ ~( product( X, 'e_1', Y ) ), ~( next( X, Z ) ), ~( greater(
% 0.69/1.09 Y, Z ) ) ] )
% 0.69/1.09 , clause( 458, [ 'group_element'( 'e_1' ) ] )
% 0.69/1.09 , clause( 459, [ 'group_element'( 'e_2' ) ] )
% 0.69/1.09 , clause( 460, [ 'group_element'( 'e_3' ) ] )
% 0.69/1.09 , clause( 461, [ 'group_element'( 'e_4' ) ] )
% 0.69/1.09 , clause( 462, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.69/1.09 , clause( 463, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.69/1.09 , clause( 464, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.69/1.09 , clause( 465, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.69/1.09 , clause( 466, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.69/1.09 , clause( 467, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 0.69/1.09 , clause( 468, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.69/1.09 , clause( 469, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.69/1.09 , clause( 470, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.69/1.09 , clause( 471, [ ~( equalish( 'e_4', 'e_1' ) ) ] )
% 0.69/1.10 , clause( 472, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.69/1.10 , clause( 473, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.69/1.10 , clause( 474, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.69/1.10 product( X, Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ),
% 0.69/1.10 product( X, Y, 'e_4' ) ] )
% 0.69/1.10 , clause( 475, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish(
% 0.69/1.10 Z, T ) ] )
% 0.69/1.10 , clause( 476, [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish(
% 0.69/1.10 Y, T ) ] )
% 0.69/1.10 , clause( 477, [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish(
% 0.69/1.10 X, T ) ] )
% 0.69/1.10 , clause( 478, [ product( X, X, X ) ] )
% 0.69/1.10 , clause( 479, [ ~( product( X, Y, Z ) ), ~( product( T, U, Z ) ), ~(
% 0.69/1.10 product( W, X, Y ) ), ~( product( W, T, U ) ), equalish( X, T ) ] )
% 0.69/1.10 , clause( 480, [ ~( product( X, Y, Z ) ), ~( product( T, U, Z ) ), ~(
% 0.69/1.10 product( W, X, Y ) ), ~( product( W, T, U ) ), equalish( Y, U ) ] )
% 0.69/1.10 ] ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 1, [ next( 'e_2', 'e_3' ) ] )
% 0.69/1.10 , clause( 449, [ next( 'e_2', 'e_3' ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 8, [ greater( 'e_4', 'e_3' ) ] )
% 0.69/1.10 , clause( 456, [ greater( 'e_4', 'e_3' ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 9, [ ~( product( X, 'e_1', Y ) ), ~( greater( Y, Z ) ), ~( next( X
% 0.69/1.10 , Z ) ) ] )
% 0.69/1.10 , clause( 457, [ ~( product( X, 'e_1', Y ) ), ~( next( X, Z ) ), ~( greater(
% 0.69/1.10 Y, Z ) ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.10 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 10, [ 'group_element'( 'e_1' ) ] )
% 0.69/1.10 , clause( 458, [ 'group_element'( 'e_1' ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 11, [ 'group_element'( 'e_2' ) ] )
% 0.69/1.10 , clause( 459, [ 'group_element'( 'e_2' ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 12, [ 'group_element'( 'e_3' ) ] )
% 0.69/1.10 , clause( 460, [ 'group_element'( 'e_3' ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 13, [ 'group_element'( 'e_4' ) ] )
% 0.69/1.10 , clause( 461, [ 'group_element'( 'e_4' ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 14, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.69/1.10 , clause( 462, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 15, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.69/1.10 , clause( 463, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 16, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.69/1.10 , clause( 464, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 17, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.69/1.10 , clause( 465, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 19, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 0.69/1.10 , clause( 467, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 20, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.69/1.10 , clause( 468, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 21, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.69/1.10 , clause( 469, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 22, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.69/1.10 , clause( 470, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 23, [ ~( equalish( 'e_4', 'e_1' ) ) ] )
% 0.69/1.10 , clause( 471, [ ~( equalish( 'e_4', 'e_1' ) ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 24, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.69/1.10 , clause( 472, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 25, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.69/1.10 , clause( 473, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 26, [ ~( 'group_element'( X ) ), product( X, Y, 'e_4' ), product( X
% 0.69/1.10 , Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ), ~(
% 0.69/1.10 'group_element'( Y ) ) ] )
% 0.69/1.10 , clause( 474, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.69/1.10 product( X, Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ),
% 0.69/1.10 product( X, Y, 'e_4' ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.10 ), ==>( 1, 5 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 ), ==>( 5, 1 )] )
% 0.69/1.10 ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 28, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T,
% 0.69/1.10 Z ) ) ] )
% 0.69/1.10 , clause( 476, [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish(
% 0.69/1.10 Y, T ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.69/1.10 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 29, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y,
% 0.69/1.10 Z ) ) ] )
% 0.69/1.10 , clause( 477, [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish(
% 0.69/1.10 X, T ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.69/1.10 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 30, [ product( X, X, X ) ] )
% 0.69/1.10 , clause( 478, [ product( X, X, X ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 31, [ equalish( X, T ), ~( product( W, X, Y ) ), ~( product( T, U,
% 0.69/1.10 Z ) ), ~( product( X, Y, Z ) ), ~( product( W, T, U ) ) ] )
% 0.69/1.10 , clause( 479, [ ~( product( X, Y, Z ) ), ~( product( T, U, Z ) ), ~(
% 0.69/1.10 product( W, X, Y ) ), ~( product( W, T, U ) ), equalish( X, T ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.69/1.10 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 2 ), ==>( 2
% 0.69/1.10 , 1 ), ==>( 3, 4 ), ==>( 4, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 32, [ equalish( Y, U ), ~( product( W, X, Y ) ), ~( product( T, U,
% 0.69/1.10 Z ) ), ~( product( X, Y, Z ) ), ~( product( W, T, U ) ) ] )
% 0.69/1.10 , clause( 480, [ ~( product( X, Y, Z ) ), ~( product( T, U, Z ) ), ~(
% 0.69/1.10 product( W, X, Y ) ), ~( product( W, T, U ) ), equalish( Y, U ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.69/1.10 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 2 ), ==>( 2
% 0.69/1.10 , 1 ), ==>( 3, 4 ), ==>( 4, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 factor(
% 0.69/1.10 clause( 526, [ equalish( X, Y ), ~( product( X, X, X ) ), ~( product( Y, Z
% 0.69/1.10 , X ) ), ~( product( X, Y, Z ) ) ] )
% 0.69/1.10 , clause( 31, [ equalish( X, T ), ~( product( W, X, Y ) ), ~( product( T, U
% 0.69/1.10 , Z ) ), ~( product( X, Y, Z ) ), ~( product( W, T, U ) ) ] )
% 0.69/1.10 , 1, 3, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, X ), :=( T, Y ),
% 0.69/1.10 :=( U, Z ), :=( W, X )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 533, [ equalish( X, Y ), ~( product( Y, Z, X ) ), ~( product( X, Y
% 0.69/1.10 , Z ) ) ] )
% 0.69/1.10 , clause( 526, [ equalish( X, Y ), ~( product( X, X, X ) ), ~( product( Y,
% 0.69/1.10 Z, X ) ), ~( product( X, Y, Z ) ) ] )
% 0.69/1.10 , 1, clause( 30, [ product( X, X, X ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.10 substitution( 1, [ :=( X, X )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 38, [ equalish( X, Y ), ~( product( X, Y, Z ) ), ~( product( Y, Z,
% 0.69/1.10 X ) ) ] )
% 0.69/1.10 , clause( 533, [ equalish( X, Y ), ~( product( Y, Z, X ) ), ~( product( X,
% 0.69/1.10 Y, Z ) ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.10 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 factor(
% 0.69/1.10 clause( 538, [ equalish( X, Y ), ~( product( Y, X, Z ) ), ~( product( Y, Y
% 0.69/1.10 , Y ) ), ~( product( X, Z, Y ) ) ] )
% 0.69/1.10 , clause( 31, [ equalish( X, T ), ~( product( W, X, Y ) ), ~( product( T, U
% 0.69/1.10 , Z ) ), ~( product( X, Y, Z ) ), ~( product( W, T, U ) ) ] )
% 0.69/1.10 , 2, 4, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y ), :=( T, Y ),
% 0.69/1.10 :=( U, Y ), :=( W, Y )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 545, [ equalish( X, Y ), ~( product( Y, X, Z ) ), ~( product( X, Z
% 0.69/1.10 , Y ) ) ] )
% 0.69/1.10 , clause( 538, [ equalish( X, Y ), ~( product( Y, X, Z ) ), ~( product( Y,
% 0.69/1.10 Y, Y ) ), ~( product( X, Z, Y ) ) ] )
% 0.69/1.10 , 2, clause( 30, [ product( X, X, X ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.10 substitution( 1, [ :=( X, Y )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 39, [ equalish( X, Y ), ~( product( X, Z, Y ) ), ~( product( Y, X,
% 0.69/1.10 Z ) ) ] )
% 0.69/1.10 , clause( 545, [ equalish( X, Y ), ~( product( Y, X, Z ) ), ~( product( X,
% 0.69/1.10 Z, Y ) ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.10 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 factor(
% 0.69/1.10 clause( 548, [ equalish( X, Y ), ~( product( X, X, X ) ), ~( product( Z, Y
% 0.69/1.10 , X ) ), ~( product( X, Z, Y ) ) ] )
% 0.69/1.10 , clause( 32, [ equalish( Y, U ), ~( product( W, X, Y ) ), ~( product( T, U
% 0.69/1.10 , Z ) ), ~( product( X, Y, Z ) ), ~( product( W, T, U ) ) ] )
% 0.69/1.10 , 1, 3, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, X ), :=( T, Z ),
% 0.69/1.10 :=( U, Y ), :=( W, X )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 555, [ equalish( X, Y ), ~( product( Z, Y, X ) ), ~( product( X, Z
% 0.69/1.10 , Y ) ) ] )
% 0.69/1.10 , clause( 548, [ equalish( X, Y ), ~( product( X, X, X ) ), ~( product( Z,
% 0.69/1.10 Y, X ) ), ~( product( X, Z, Y ) ) ] )
% 0.69/1.10 , 1, clause( 30, [ product( X, X, X ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.10 substitution( 1, [ :=( X, X )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 43, [ equalish( X, Y ), ~( product( X, Z, Y ) ), ~( product( Z, Y,
% 0.69/1.10 X ) ) ] )
% 0.69/1.10 , clause( 555, [ equalish( X, Y ), ~( product( Z, Y, X ) ), ~( product( X,
% 0.69/1.10 Z, Y ) ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.10 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 557, [ ~( product( 'e_2', 'e_1', X ) ), ~( greater( X, 'e_3' ) ) ]
% 0.69/1.10 )
% 0.69/1.10 , clause( 9, [ ~( product( X, 'e_1', Y ) ), ~( greater( Y, Z ) ), ~( next(
% 0.69/1.10 X, Z ) ) ] )
% 0.69/1.10 , 2, clause( 1, [ next( 'e_2', 'e_3' ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, 'e_2' ), :=( Y, X ), :=( Z, 'e_3' )] ),
% 0.69/1.10 substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 47, [ ~( product( 'e_2', 'e_1', X ) ), ~( greater( X, 'e_3' ) ) ]
% 0.69/1.10 )
% 0.69/1.10 , clause( 557, [ ~( product( 'e_2', 'e_1', X ) ), ~( greater( X, 'e_3' ) )
% 0.69/1.10 ] )
% 0.69/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.69/1.10 1 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 559, [ ~( 'group_element'( X ) ), product( X, 'e_1', 'e_4' ),
% 0.69/1.10 product( X, 'e_1', 'e_1' ), product( X, 'e_1', 'e_2' ), product( X, 'e_1'
% 0.69/1.10 , 'e_3' ) ] )
% 0.69/1.10 , clause( 26, [ ~( 'group_element'( X ) ), product( X, Y, 'e_4' ), product(
% 0.69/1.10 X, Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ), ~(
% 0.69/1.10 'group_element'( Y ) ) ] )
% 0.69/1.10 , 5, clause( 10, [ 'group_element'( 'e_1' ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_1' )] ), substitution( 1, [] )
% 0.69/1.10 ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 49, [ product( X, 'e_1', 'e_4' ), product( X, 'e_1', 'e_1' ),
% 0.69/1.10 product( X, 'e_1', 'e_2' ), product( X, 'e_1', 'e_3' ), ~(
% 0.69/1.10 'group_element'( X ) ) ] )
% 0.69/1.10 , clause( 559, [ ~( 'group_element'( X ) ), product( X, 'e_1', 'e_4' ),
% 0.69/1.10 product( X, 'e_1', 'e_1' ), product( X, 'e_1', 'e_2' ), product( X, 'e_1'
% 0.69/1.10 , 'e_3' ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 4 ), ==>( 1,
% 0.69/1.10 0 ), ==>( 2, 1 ), ==>( 3, 2 ), ==>( 4, 3 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 561, [ ~( 'group_element'( X ) ), product( X, 'e_2', 'e_4' ),
% 0.69/1.10 product( X, 'e_2', 'e_1' ), product( X, 'e_2', 'e_2' ), product( X, 'e_2'
% 0.69/1.10 , 'e_3' ) ] )
% 0.69/1.10 , clause( 26, [ ~( 'group_element'( X ) ), product( X, Y, 'e_4' ), product(
% 0.69/1.10 X, Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ), ~(
% 0.69/1.10 'group_element'( Y ) ) ] )
% 0.69/1.10 , 5, clause( 11, [ 'group_element'( 'e_2' ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_2' )] ), substitution( 1, [] )
% 0.69/1.10 ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 50, [ product( X, 'e_2', 'e_4' ), product( X, 'e_2', 'e_1' ),
% 0.69/1.10 product( X, 'e_2', 'e_2' ), product( X, 'e_2', 'e_3' ), ~(
% 0.69/1.10 'group_element'( X ) ) ] )
% 0.69/1.10 , clause( 561, [ ~( 'group_element'( X ) ), product( X, 'e_2', 'e_4' ),
% 0.69/1.10 product( X, 'e_2', 'e_1' ), product( X, 'e_2', 'e_2' ), product( X, 'e_2'
% 0.69/1.10 , 'e_3' ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 4 ), ==>( 1,
% 0.69/1.10 0 ), ==>( 2, 1 ), ==>( 3, 2 ), ==>( 4, 3 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 563, [ ~( 'group_element'( X ) ), product( X, 'e_3', 'e_4' ),
% 0.69/1.10 product( X, 'e_3', 'e_1' ), product( X, 'e_3', 'e_2' ), product( X, 'e_3'
% 0.69/1.10 , 'e_3' ) ] )
% 0.69/1.10 , clause( 26, [ ~( 'group_element'( X ) ), product( X, Y, 'e_4' ), product(
% 0.69/1.10 X, Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ), ~(
% 0.69/1.10 'group_element'( Y ) ) ] )
% 0.69/1.10 , 5, clause( 12, [ 'group_element'( 'e_3' ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_3' )] ), substitution( 1, [] )
% 0.69/1.10 ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 51, [ product( X, 'e_3', 'e_4' ), product( X, 'e_3', 'e_1' ),
% 0.69/1.10 product( X, 'e_3', 'e_2' ), product( X, 'e_3', 'e_3' ), ~(
% 0.69/1.10 'group_element'( X ) ) ] )
% 0.69/1.10 , clause( 563, [ ~( 'group_element'( X ) ), product( X, 'e_3', 'e_4' ),
% 0.69/1.10 product( X, 'e_3', 'e_1' ), product( X, 'e_3', 'e_2' ), product( X, 'e_3'
% 0.69/1.10 , 'e_3' ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 4 ), ==>( 1,
% 0.69/1.10 0 ), ==>( 2, 1 ), ==>( 3, 2 ), ==>( 4, 3 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 565, [ ~( 'group_element'( X ) ), product( X, 'e_4', 'e_4' ),
% 0.69/1.10 product( X, 'e_4', 'e_1' ), product( X, 'e_4', 'e_2' ), product( X, 'e_4'
% 0.69/1.10 , 'e_3' ) ] )
% 0.69/1.10 , clause( 26, [ ~( 'group_element'( X ) ), product( X, Y, 'e_4' ), product(
% 0.69/1.10 X, Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ), ~(
% 0.69/1.10 'group_element'( Y ) ) ] )
% 0.69/1.10 , 5, clause( 13, [ 'group_element'( 'e_4' ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_4' )] ), substitution( 1, [] )
% 0.69/1.10 ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 52, [ product( X, 'e_4', 'e_4' ), product( X, 'e_4', 'e_1' ),
% 0.69/1.10 product( X, 'e_4', 'e_2' ), product( X, 'e_4', 'e_3' ), ~(
% 0.69/1.10 'group_element'( X ) ) ] )
% 0.69/1.10 , clause( 565, [ ~( 'group_element'( X ) ), product( X, 'e_4', 'e_4' ),
% 0.69/1.10 product( X, 'e_4', 'e_1' ), product( X, 'e_4', 'e_2' ), product( X, 'e_4'
% 0.69/1.10 , 'e_3' ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 4 ), ==>( 1,
% 0.69/1.10 0 ), ==>( 2, 1 ), ==>( 3, 2 ), ==>( 4, 3 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 566, [ ~( product( 'e_2', 'e_1', 'e_4' ) ) ] )
% 0.69/1.10 , clause( 47, [ ~( product( 'e_2', 'e_1', X ) ), ~( greater( X, 'e_3' ) ) ]
% 0.69/1.10 )
% 0.69/1.10 , 1, clause( 8, [ greater( 'e_4', 'e_3' ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, 'e_4' )] ), substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 53, [ ~( product( 'e_2', 'e_1', 'e_4' ) ) ] )
% 0.69/1.10 , clause( 566, [ ~( product( 'e_2', 'e_1', 'e_4' ) ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 568, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.69/1.10 , clause( 28, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.69/1.10 , Z ) ) ] )
% 0.69/1.10 , 2, clause( 30, [ product( X, X, X ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Y ), :=( T, Y )] ),
% 0.69/1.10 substitution( 1, [ :=( X, Y )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 57, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.69/1.10 , clause( 568, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.10 ), ==>( 1, 1 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 570, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.69/1.10 , clause( 29, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.69/1.10 , Z ) ) ] )
% 0.69/1.10 , 2, clause( 30, [ product( X, X, X ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, Y )] ),
% 0.69/1.10 substitution( 1, [ :=( X, Y )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 58, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.69/1.10 , clause( 570, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.10 ), ==>( 1, 1 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 571, [ product( 'e_2', 'e_1', 'e_4' ), product( 'e_2', 'e_1', 'e_1'
% 0.69/1.10 ), product( 'e_2', 'e_1', 'e_2' ), product( 'e_2', 'e_1', 'e_3' ) ] )
% 0.69/1.10 , clause( 49, [ product( X, 'e_1', 'e_4' ), product( X, 'e_1', 'e_1' ),
% 0.69/1.10 product( X, 'e_1', 'e_2' ), product( X, 'e_1', 'e_3' ), ~(
% 0.69/1.10 'group_element'( X ) ) ] )
% 0.69/1.10 , 4, clause( 11, [ 'group_element'( 'e_2' ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 572, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2'
% 0.69/1.10 ), product( 'e_2', 'e_1', 'e_3' ) ] )
% 0.69/1.10 , clause( 53, [ ~( product( 'e_2', 'e_1', 'e_4' ) ) ] )
% 0.69/1.10 , 0, clause( 571, [ product( 'e_2', 'e_1', 'e_4' ), product( 'e_2', 'e_1',
% 0.69/1.10 'e_1' ), product( 'e_2', 'e_1', 'e_2' ), product( 'e_2', 'e_1', 'e_3' ) ]
% 0.69/1.10 )
% 0.69/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 61, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2'
% 0.69/1.10 ), product( 'e_2', 'e_1', 'e_3' ) ] )
% 0.69/1.10 , clause( 572, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1',
% 0.69/1.10 'e_2' ), product( 'e_2', 'e_1', 'e_3' ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.69/1.10 , 2 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 573, [ product( 'e_4', 'e_1', 'e_4' ), product( 'e_4', 'e_1', 'e_1'
% 0.69/1.10 ), product( 'e_4', 'e_1', 'e_2' ), product( 'e_4', 'e_1', 'e_3' ) ] )
% 0.69/1.10 , clause( 49, [ product( X, 'e_1', 'e_4' ), product( X, 'e_1', 'e_1' ),
% 0.69/1.10 product( X, 'e_1', 'e_2' ), product( X, 'e_1', 'e_3' ), ~(
% 0.69/1.10 'group_element'( X ) ) ] )
% 0.69/1.10 , 4, clause( 13, [ 'group_element'( 'e_4' ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, 'e_4' )] ), substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 63, [ product( 'e_4', 'e_1', 'e_1' ), product( 'e_4', 'e_1', 'e_2'
% 0.69/1.10 ), product( 'e_4', 'e_1', 'e_3' ), product( 'e_4', 'e_1', 'e_4' ) ] )
% 0.69/1.10 , clause( 573, [ product( 'e_4', 'e_1', 'e_4' ), product( 'e_4', 'e_1',
% 0.69/1.10 'e_1' ), product( 'e_4', 'e_1', 'e_2' ), product( 'e_4', 'e_1', 'e_3' ) ]
% 0.69/1.10 )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.69/1.10 , 1 ), ==>( 3, 2 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 579, [ equalish( X, 'e_2' ), ~( product( X, 'e_1', 'e_3' ) ),
% 0.69/1.10 product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.69/1.10 , clause( 29, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.69/1.10 , Z ) ) ] )
% 0.69/1.10 , 2, clause( 61, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1',
% 0.69/1.10 'e_2' ), product( 'e_2', 'e_1', 'e_3' ) ] )
% 0.69/1.10 , 2, substitution( 0, [ :=( X, X ), :=( Y, 'e_1' ), :=( Z, 'e_3' ), :=( T,
% 0.69/1.10 'e_2' )] ), substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 69, [ product( 'e_2', 'e_1', 'e_1' ), equalish( X, 'e_2' ), product(
% 0.69/1.10 'e_2', 'e_1', 'e_2' ), ~( product( X, 'e_1', 'e_3' ) ) ] )
% 0.69/1.10 , clause( 579, [ equalish( X, 'e_2' ), ~( product( X, 'e_1', 'e_3' ) ),
% 0.69/1.10 product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.69/1.10 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 580, [ product( 'e_4', 'e_2', 'e_4' ), product( 'e_4', 'e_2', 'e_1'
% 0.69/1.10 ), product( 'e_4', 'e_2', 'e_2' ), product( 'e_4', 'e_2', 'e_3' ) ] )
% 0.69/1.10 , clause( 50, [ product( X, 'e_2', 'e_4' ), product( X, 'e_2', 'e_1' ),
% 0.69/1.10 product( X, 'e_2', 'e_2' ), product( X, 'e_2', 'e_3' ), ~(
% 0.69/1.10 'group_element'( X ) ) ] )
% 0.69/1.10 , 4, clause( 13, [ 'group_element'( 'e_4' ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, 'e_4' )] ), substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 77, [ product( 'e_4', 'e_2', 'e_1' ), product( 'e_4', 'e_2', 'e_2'
% 0.69/1.10 ), product( 'e_4', 'e_2', 'e_3' ), product( 'e_4', 'e_2', 'e_4' ) ] )
% 0.69/1.10 , clause( 580, [ product( 'e_4', 'e_2', 'e_4' ), product( 'e_4', 'e_2',
% 0.69/1.10 'e_1' ), product( 'e_4', 'e_2', 'e_2' ), product( 'e_4', 'e_2', 'e_3' ) ]
% 0.69/1.10 )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.69/1.10 , 1 ), ==>( 3, 2 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 581, [ product( 'e_1', 'e_3', 'e_4' ), product( 'e_1', 'e_3', 'e_1'
% 0.69/1.10 ), product( 'e_1', 'e_3', 'e_2' ), product( 'e_1', 'e_3', 'e_3' ) ] )
% 0.69/1.10 , clause( 51, [ product( X, 'e_3', 'e_4' ), product( X, 'e_3', 'e_1' ),
% 0.69/1.10 product( X, 'e_3', 'e_2' ), product( X, 'e_3', 'e_3' ), ~(
% 0.69/1.10 'group_element'( X ) ) ] )
% 0.69/1.10 , 4, clause( 10, [ 'group_element'( 'e_1' ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 78, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2'
% 0.69/1.10 ), product( 'e_1', 'e_3', 'e_3' ), product( 'e_1', 'e_3', 'e_4' ) ] )
% 0.69/1.10 , clause( 581, [ product( 'e_1', 'e_3', 'e_4' ), product( 'e_1', 'e_3',
% 0.69/1.10 'e_1' ), product( 'e_1', 'e_3', 'e_2' ), product( 'e_1', 'e_3', 'e_3' ) ]
% 0.69/1.10 )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.69/1.10 , 1 ), ==>( 3, 2 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 582, [ product( 'e_4', 'e_3', 'e_4' ), product( 'e_4', 'e_3', 'e_1'
% 0.69/1.10 ), product( 'e_4', 'e_3', 'e_2' ), product( 'e_4', 'e_3', 'e_3' ) ] )
% 0.69/1.10 , clause( 51, [ product( X, 'e_3', 'e_4' ), product( X, 'e_3', 'e_1' ),
% 0.69/1.10 product( X, 'e_3', 'e_2' ), product( X, 'e_3', 'e_3' ), ~(
% 0.69/1.10 'group_element'( X ) ) ] )
% 0.69/1.10 , 4, clause( 13, [ 'group_element'( 'e_4' ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, 'e_4' )] ), substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 80, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3', 'e_2'
% 0.69/1.10 ), product( 'e_4', 'e_3', 'e_3' ), product( 'e_4', 'e_3', 'e_4' ) ] )
% 0.69/1.10 , clause( 582, [ product( 'e_4', 'e_3', 'e_4' ), product( 'e_4', 'e_3',
% 0.69/1.10 'e_1' ), product( 'e_4', 'e_3', 'e_2' ), product( 'e_4', 'e_3', 'e_3' ) ]
% 0.69/1.10 )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.69/1.10 , 1 ), ==>( 3, 2 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 590, [ equalish( 'e_3', 'e_1' ), ~( product( 'e_3', 'e_4', 'e_1' )
% 0.69/1.10 ), product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ),
% 0.69/1.10 product( 'e_1', 'e_3', 'e_3' ) ] )
% 0.69/1.10 , clause( 39, [ equalish( X, Y ), ~( product( X, Z, Y ) ), ~( product( Y, X
% 0.69/1.10 , Z ) ) ] )
% 0.69/1.10 , 2, clause( 78, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3',
% 0.69/1.10 'e_2' ), product( 'e_1', 'e_3', 'e_3' ), product( 'e_1', 'e_3', 'e_4' ) ]
% 0.69/1.10 )
% 0.69/1.10 , 3, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_1' ), :=( Z, 'e_4' )] ),
% 0.69/1.10 substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 598, [ equalish( 'e_3', 'e_1' ), equalish( 'e_3', 'e_1' ), ~(
% 0.69/1.10 product( 'e_3', 'e_4', 'e_1' ) ), product( 'e_1', 'e_3', 'e_2' ), product(
% 0.69/1.10 'e_1', 'e_3', 'e_3' ) ] )
% 0.69/1.10 , clause( 57, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.69/1.10 , 1, clause( 590, [ equalish( 'e_3', 'e_1' ), ~( product( 'e_3', 'e_4',
% 0.69/1.10 'e_1' ) ), product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2' )
% 0.69/1.10 , product( 'e_1', 'e_3', 'e_3' ) ] )
% 0.69/1.10 , 2, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_1' )] ), substitution( 1
% 0.69/1.10 , [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 factor(
% 0.69/1.10 clause( 599, [ equalish( 'e_3', 'e_1' ), ~( product( 'e_3', 'e_4', 'e_1' )
% 0.69/1.10 ), product( 'e_1', 'e_3', 'e_2' ), product( 'e_1', 'e_3', 'e_3' ) ] )
% 0.69/1.10 , clause( 598, [ equalish( 'e_3', 'e_1' ), equalish( 'e_3', 'e_1' ), ~(
% 0.69/1.10 product( 'e_3', 'e_4', 'e_1' ) ), product( 'e_1', 'e_3', 'e_2' ), product(
% 0.69/1.10 'e_1', 'e_3', 'e_3' ) ] )
% 0.69/1.10 , 0, 1, substitution( 0, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 83, [ product( 'e_1', 'e_3', 'e_2' ), equalish( 'e_3', 'e_1' ),
% 0.69/1.10 product( 'e_1', 'e_3', 'e_3' ), ~( product( 'e_3', 'e_4', 'e_1' ) ) ] )
% 0.69/1.10 , clause( 599, [ equalish( 'e_3', 'e_1' ), ~( product( 'e_3', 'e_4', 'e_1'
% 0.69/1.10 ) ), product( 'e_1', 'e_3', 'e_2' ), product( 'e_1', 'e_3', 'e_3' ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 3 ), ==>( 2
% 0.69/1.10 , 0 ), ==>( 3, 2 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 600, [ product( 'e_1', 'e_3', 'e_2' ), product( 'e_1', 'e_3', 'e_3'
% 0.69/1.10 ), ~( product( 'e_3', 'e_4', 'e_1' ) ) ] )
% 0.69/1.10 , clause( 20, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.69/1.10 , 0, clause( 83, [ product( 'e_1', 'e_3', 'e_2' ), equalish( 'e_3', 'e_1' )
% 0.69/1.10 , product( 'e_1', 'e_3', 'e_3' ), ~( product( 'e_3', 'e_4', 'e_1' ) ) ]
% 0.69/1.10 )
% 0.69/1.10 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 90, [ product( 'e_1', 'e_3', 'e_2' ), product( 'e_1', 'e_3', 'e_3'
% 0.69/1.10 ), ~( product( 'e_3', 'e_4', 'e_1' ) ) ] )
% 0.69/1.10 , clause( 600, [ product( 'e_1', 'e_3', 'e_2' ), product( 'e_1', 'e_3',
% 0.69/1.10 'e_3' ), ~( product( 'e_3', 'e_4', 'e_1' ) ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.69/1.10 , 2 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 601, [ product( 'e_1', 'e_4', 'e_4' ), product( 'e_1', 'e_4', 'e_1'
% 0.69/1.10 ), product( 'e_1', 'e_4', 'e_2' ), product( 'e_1', 'e_4', 'e_3' ) ] )
% 0.69/1.10 , clause( 52, [ product( X, 'e_4', 'e_4' ), product( X, 'e_4', 'e_1' ),
% 0.69/1.10 product( X, 'e_4', 'e_2' ), product( X, 'e_4', 'e_3' ), ~(
% 0.69/1.10 'group_element'( X ) ) ] )
% 0.69/1.10 , 4, clause( 10, [ 'group_element'( 'e_1' ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 91, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_2'
% 0.69/1.10 ), product( 'e_1', 'e_4', 'e_3' ), product( 'e_1', 'e_4', 'e_4' ) ] )
% 0.69/1.10 , clause( 601, [ product( 'e_1', 'e_4', 'e_4' ), product( 'e_1', 'e_4',
% 0.69/1.10 'e_1' ), product( 'e_1', 'e_4', 'e_2' ), product( 'e_1', 'e_4', 'e_3' ) ]
% 0.69/1.10 )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.69/1.10 , 1 ), ==>( 3, 2 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 602, [ product( 'e_2', 'e_4', 'e_4' ), product( 'e_2', 'e_4', 'e_1'
% 0.69/1.10 ), product( 'e_2', 'e_4', 'e_2' ), product( 'e_2', 'e_4', 'e_3' ) ] )
% 0.69/1.10 , clause( 52, [ product( X, 'e_4', 'e_4' ), product( X, 'e_4', 'e_1' ),
% 0.69/1.10 product( X, 'e_4', 'e_2' ), product( X, 'e_4', 'e_3' ), ~(
% 0.69/1.10 'group_element'( X ) ) ] )
% 0.69/1.10 , 4, clause( 11, [ 'group_element'( 'e_2' ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 92, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_2'
% 0.69/1.10 ), product( 'e_2', 'e_4', 'e_3' ), product( 'e_2', 'e_4', 'e_4' ) ] )
% 0.69/1.10 , clause( 602, [ product( 'e_2', 'e_4', 'e_4' ), product( 'e_2', 'e_4',
% 0.69/1.10 'e_1' ), product( 'e_2', 'e_4', 'e_2' ), product( 'e_2', 'e_4', 'e_3' ) ]
% 0.69/1.10 )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.69/1.10 , 1 ), ==>( 3, 2 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 603, [ product( 'e_3', 'e_4', 'e_4' ), product( 'e_3', 'e_4', 'e_1'
% 0.69/1.10 ), product( 'e_3', 'e_4', 'e_2' ), product( 'e_3', 'e_4', 'e_3' ) ] )
% 0.69/1.10 , clause( 52, [ product( X, 'e_4', 'e_4' ), product( X, 'e_4', 'e_1' ),
% 0.69/1.10 product( X, 'e_4', 'e_2' ), product( X, 'e_4', 'e_3' ), ~(
% 0.69/1.10 'group_element'( X ) ) ] )
% 0.69/1.10 , 4, clause( 12, [ 'group_element'( 'e_3' ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 93, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4', 'e_2'
% 0.69/1.10 ), product( 'e_3', 'e_4', 'e_3' ), product( 'e_3', 'e_4', 'e_4' ) ] )
% 0.69/1.10 , clause( 603, [ product( 'e_3', 'e_4', 'e_4' ), product( 'e_3', 'e_4',
% 0.69/1.10 'e_1' ), product( 'e_3', 'e_4', 'e_2' ), product( 'e_3', 'e_4', 'e_3' ) ]
% 0.69/1.10 )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.69/1.10 , 1 ), ==>( 3, 2 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 604, [ equalish( 'e_1', 'e_4' ), product( 'e_1', 'e_4', 'e_1' ),
% 0.69/1.10 product( 'e_1', 'e_4', 'e_2' ), product( 'e_1', 'e_4', 'e_3' ) ] )
% 0.69/1.10 , clause( 58, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.69/1.10 , 1, clause( 91, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4',
% 0.69/1.10 'e_2' ), product( 'e_1', 'e_4', 'e_3' ), product( 'e_1', 'e_4', 'e_4' ) ]
% 0.69/1.10 )
% 0.69/1.10 , 3, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_4' )] ), substitution( 1
% 0.69/1.10 , [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 605, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_2'
% 0.69/1.10 ), product( 'e_1', 'e_4', 'e_3' ) ] )
% 0.69/1.10 , clause( 16, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.69/1.10 , 0, clause( 604, [ equalish( 'e_1', 'e_4' ), product( 'e_1', 'e_4', 'e_1'
% 0.69/1.10 ), product( 'e_1', 'e_4', 'e_2' ), product( 'e_1', 'e_4', 'e_3' ) ] )
% 0.69/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 99, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_2'
% 0.69/1.10 ), product( 'e_1', 'e_4', 'e_3' ) ] )
% 0.69/1.10 , clause( 605, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4',
% 0.69/1.10 'e_2' ), product( 'e_1', 'e_4', 'e_3' ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.69/1.10 , 2 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 611, [ equalish( 'e_4', 'e_1' ), ~( product( 'e_4', 'e_3', 'e_1' )
% 0.69/1.10 ), product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_2' ) ] )
% 0.69/1.10 , clause( 39, [ equalish( X, Y ), ~( product( X, Z, Y ) ), ~( product( Y, X
% 0.69/1.10 , Z ) ) ] )
% 0.69/1.10 , 2, clause( 99, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4',
% 0.69/1.10 'e_2' ), product( 'e_1', 'e_4', 'e_3' ) ] )
% 0.69/1.10 , 2, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_1' ), :=( Z, 'e_3' )] ),
% 0.69/1.10 substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 616, [ equalish( 'e_4', 'e_1' ), equalish( 'e_4', 'e_1' ), ~(
% 0.69/1.10 product( 'e_4', 'e_3', 'e_1' ) ), product( 'e_1', 'e_4', 'e_2' ) ] )
% 0.69/1.10 , clause( 57, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.69/1.10 , 1, clause( 611, [ equalish( 'e_4', 'e_1' ), ~( product( 'e_4', 'e_3',
% 0.69/1.10 'e_1' ) ), product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_2' )
% 0.69/1.10 ] )
% 0.69/1.10 , 2, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_1' )] ), substitution( 1
% 0.69/1.10 , [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 factor(
% 0.69/1.10 clause( 617, [ equalish( 'e_4', 'e_1' ), ~( product( 'e_4', 'e_3', 'e_1' )
% 0.69/1.10 ), product( 'e_1', 'e_4', 'e_2' ) ] )
% 0.69/1.10 , clause( 616, [ equalish( 'e_4', 'e_1' ), equalish( 'e_4', 'e_1' ), ~(
% 0.69/1.10 product( 'e_4', 'e_3', 'e_1' ) ), product( 'e_1', 'e_4', 'e_2' ) ] )
% 0.69/1.10 , 0, 1, substitution( 0, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 102, [ equalish( 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_2' ),
% 0.69/1.10 ~( product( 'e_4', 'e_3', 'e_1' ) ) ] )
% 0.69/1.10 , clause( 617, [ equalish( 'e_4', 'e_1' ), ~( product( 'e_4', 'e_3', 'e_1'
% 0.69/1.10 ) ), product( 'e_1', 'e_4', 'e_2' ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2
% 0.69/1.10 , 1 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 618, [ product( 'e_1', 'e_4', 'e_2' ), ~( product( 'e_4', 'e_3',
% 0.69/1.10 'e_1' ) ) ] )
% 0.69/1.10 , clause( 23, [ ~( equalish( 'e_4', 'e_1' ) ) ] )
% 0.69/1.10 , 0, clause( 102, [ equalish( 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_2'
% 0.69/1.10 ), ~( product( 'e_4', 'e_3', 'e_1' ) ) ] )
% 0.69/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 109, [ product( 'e_1', 'e_4', 'e_2' ), ~( product( 'e_4', 'e_3',
% 0.69/1.10 'e_1' ) ) ] )
% 0.69/1.10 , clause( 618, [ product( 'e_1', 'e_4', 'e_2' ), ~( product( 'e_4', 'e_3',
% 0.69/1.10 'e_1' ) ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.69/1.10 ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 619, [ equalish( 'e_1', 'e_4' ), product( 'e_4', 'e_1', 'e_1' ),
% 0.69/1.10 product( 'e_4', 'e_1', 'e_2' ), product( 'e_4', 'e_1', 'e_3' ) ] )
% 0.69/1.10 , clause( 57, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.69/1.10 , 1, clause( 63, [ product( 'e_4', 'e_1', 'e_1' ), product( 'e_4', 'e_1',
% 0.69/1.10 'e_2' ), product( 'e_4', 'e_1', 'e_3' ), product( 'e_4', 'e_1', 'e_4' ) ]
% 0.69/1.10 )
% 0.69/1.10 , 3, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_4' )] ), substitution( 1
% 0.69/1.10 , [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 620, [ product( 'e_4', 'e_1', 'e_1' ), product( 'e_4', 'e_1', 'e_2'
% 0.69/1.10 ), product( 'e_4', 'e_1', 'e_3' ) ] )
% 0.69/1.10 , clause( 16, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.69/1.10 , 0, clause( 619, [ equalish( 'e_1', 'e_4' ), product( 'e_4', 'e_1', 'e_1'
% 0.69/1.10 ), product( 'e_4', 'e_1', 'e_2' ), product( 'e_4', 'e_1', 'e_3' ) ] )
% 0.69/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 128, [ product( 'e_4', 'e_1', 'e_1' ), product( 'e_4', 'e_1', 'e_2'
% 0.69/1.10 ), product( 'e_4', 'e_1', 'e_3' ) ] )
% 0.69/1.10 , clause( 620, [ product( 'e_4', 'e_1', 'e_1' ), product( 'e_4', 'e_1',
% 0.69/1.10 'e_2' ), product( 'e_4', 'e_1', 'e_3' ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.69/1.10 , 2 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 621, [ product( 'e_2', 'e_1', 'e_1' ), equalish( 'e_4', 'e_2' ),
% 0.69/1.10 product( 'e_2', 'e_1', 'e_2' ), product( 'e_4', 'e_1', 'e_1' ), product(
% 0.69/1.10 'e_4', 'e_1', 'e_2' ) ] )
% 0.69/1.10 , clause( 69, [ product( 'e_2', 'e_1', 'e_1' ), equalish( X, 'e_2' ),
% 0.69/1.10 product( 'e_2', 'e_1', 'e_2' ), ~( product( X, 'e_1', 'e_3' ) ) ] )
% 0.69/1.10 , 3, clause( 128, [ product( 'e_4', 'e_1', 'e_1' ), product( 'e_4', 'e_1',
% 0.69/1.10 'e_2' ), product( 'e_4', 'e_1', 'e_3' ) ] )
% 0.69/1.10 , 2, substitution( 0, [ :=( X, 'e_4' )] ), substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 622, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2'
% 0.69/1.10 ), product( 'e_4', 'e_1', 'e_1' ), product( 'e_4', 'e_1', 'e_2' ) ] )
% 0.69/1.10 , clause( 24, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.69/1.10 , 0, clause( 621, [ product( 'e_2', 'e_1', 'e_1' ), equalish( 'e_4', 'e_2'
% 0.69/1.10 ), product( 'e_2', 'e_1', 'e_2' ), product( 'e_4', 'e_1', 'e_1' ),
% 0.69/1.10 product( 'e_4', 'e_1', 'e_2' ) ] )
% 0.69/1.10 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 129, [ product( 'e_4', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_1'
% 0.69/1.10 ), product( 'e_2', 'e_1', 'e_2' ), product( 'e_4', 'e_1', 'e_2' ) ] )
% 0.69/1.10 , clause( 622, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1',
% 0.69/1.10 'e_2' ), product( 'e_4', 'e_1', 'e_1' ), product( 'e_4', 'e_1', 'e_2' ) ]
% 0.69/1.10 )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2
% 0.69/1.10 , 0 ), ==>( 3, 3 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 630, [ equalish( 'e_2', 'e_1' ), ~( product( 'e_2', 'e_4', 'e_1' )
% 0.69/1.10 ), product( 'e_4', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_1' ),
% 0.69/1.10 product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.69/1.10 , clause( 43, [ equalish( X, Y ), ~( product( X, Z, Y ) ), ~( product( Z, Y
% 0.69/1.10 , X ) ) ] )
% 0.69/1.10 , 2, clause( 129, [ product( 'e_4', 'e_1', 'e_1' ), product( 'e_2', 'e_1',
% 0.69/1.10 'e_1' ), product( 'e_2', 'e_1', 'e_2' ), product( 'e_4', 'e_1', 'e_2' ) ]
% 0.69/1.10 )
% 0.69/1.10 , 3, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_1' ), :=( Z, 'e_4' )] ),
% 0.69/1.10 substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 643, [ equalish( 'e_2', 'e_1' ), equalish( 'e_2', 'e_1' ), ~(
% 0.69/1.10 product( 'e_2', 'e_4', 'e_1' ) ), product( 'e_4', 'e_1', 'e_1' ), product(
% 0.69/1.10 'e_2', 'e_1', 'e_2' ) ] )
% 0.69/1.10 , clause( 58, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.69/1.10 , 1, clause( 630, [ equalish( 'e_2', 'e_1' ), ~( product( 'e_2', 'e_4',
% 0.69/1.10 'e_1' ) ), product( 'e_4', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_1' )
% 0.69/1.10 , product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.69/1.10 , 3, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_1' )] ), substitution( 1
% 0.69/1.10 , [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 factor(
% 0.69/1.10 clause( 644, [ equalish( 'e_2', 'e_1' ), ~( product( 'e_2', 'e_4', 'e_1' )
% 0.69/1.10 ), product( 'e_4', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.69/1.10 , clause( 643, [ equalish( 'e_2', 'e_1' ), equalish( 'e_2', 'e_1' ), ~(
% 0.69/1.10 product( 'e_2', 'e_4', 'e_1' ) ), product( 'e_4', 'e_1', 'e_1' ), product(
% 0.69/1.10 'e_2', 'e_1', 'e_2' ) ] )
% 0.69/1.10 , 0, 1, substitution( 0, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 146, [ product( 'e_4', 'e_1', 'e_1' ), equalish( 'e_2', 'e_1' ),
% 0.69/1.10 product( 'e_2', 'e_1', 'e_2' ), ~( product( 'e_2', 'e_4', 'e_1' ) ) ] )
% 0.69/1.10 , clause( 644, [ equalish( 'e_2', 'e_1' ), ~( product( 'e_2', 'e_4', 'e_1'
% 0.69/1.10 ) ), product( 'e_4', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 3 ), ==>( 2
% 0.69/1.10 , 0 ), ==>( 3, 2 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 645, [ product( 'e_4', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2'
% 0.69/1.10 ), ~( product( 'e_2', 'e_4', 'e_1' ) ) ] )
% 0.69/1.10 , clause( 17, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.69/1.10 , 0, clause( 146, [ product( 'e_4', 'e_1', 'e_1' ), equalish( 'e_2', 'e_1'
% 0.69/1.10 ), product( 'e_2', 'e_1', 'e_2' ), ~( product( 'e_2', 'e_4', 'e_1' ) ) ]
% 0.69/1.10 )
% 0.69/1.10 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 155, [ product( 'e_4', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2'
% 0.69/1.10 ), ~( product( 'e_2', 'e_4', 'e_1' ) ) ] )
% 0.69/1.10 , clause( 645, [ product( 'e_4', 'e_1', 'e_1' ), product( 'e_2', 'e_1',
% 0.69/1.10 'e_2' ), ~( product( 'e_2', 'e_4', 'e_1' ) ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.69/1.10 , 2 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 646, [ equalish( 'e_2', 'e_4' ), product( 'e_2', 'e_4', 'e_1' ),
% 0.69/1.10 product( 'e_2', 'e_4', 'e_2' ), product( 'e_2', 'e_4', 'e_3' ) ] )
% 0.69/1.10 , clause( 58, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.69/1.10 , 1, clause( 92, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4',
% 0.69/1.10 'e_2' ), product( 'e_2', 'e_4', 'e_3' ), product( 'e_2', 'e_4', 'e_4' ) ]
% 0.69/1.10 )
% 0.69/1.10 , 3, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_4' )] ), substitution( 1
% 0.69/1.10 , [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 647, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_2'
% 0.69/1.10 ), product( 'e_2', 'e_4', 'e_3' ) ] )
% 0.69/1.10 , clause( 19, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 0.69/1.10 , 0, clause( 646, [ equalish( 'e_2', 'e_4' ), product( 'e_2', 'e_4', 'e_1'
% 0.69/1.10 ), product( 'e_2', 'e_4', 'e_2' ), product( 'e_2', 'e_4', 'e_3' ) ] )
% 0.69/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 180, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_2'
% 0.69/1.10 ), product( 'e_2', 'e_4', 'e_3' ) ] )
% 0.69/1.10 , clause( 647, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4',
% 0.69/1.10 'e_2' ), product( 'e_2', 'e_4', 'e_3' ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.69/1.10 , 2 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 653, [ equalish( 'e_4', 'e_2' ), ~( product( 'e_4', 'e_3', 'e_2' )
% 0.69/1.10 ), product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_2' ) ] )
% 0.69/1.10 , clause( 39, [ equalish( X, Y ), ~( product( X, Z, Y ) ), ~( product( Y, X
% 0.69/1.10 , Z ) ) ] )
% 0.69/1.10 , 2, clause( 180, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4',
% 0.69/1.10 'e_2' ), product( 'e_2', 'e_4', 'e_3' ) ] )
% 0.69/1.10 , 2, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_2' ), :=( Z, 'e_3' )] ),
% 0.69/1.10 substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 658, [ equalish( 'e_4', 'e_2' ), equalish( 'e_4', 'e_2' ), ~(
% 0.69/1.10 product( 'e_4', 'e_3', 'e_2' ) ), product( 'e_2', 'e_4', 'e_1' ) ] )
% 0.69/1.10 , clause( 57, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.69/1.10 , 1, clause( 653, [ equalish( 'e_4', 'e_2' ), ~( product( 'e_4', 'e_3',
% 0.69/1.10 'e_2' ) ), product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_2' )
% 0.69/1.10 ] )
% 0.69/1.10 , 3, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_2' )] ), substitution( 1
% 0.69/1.10 , [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 factor(
% 0.69/1.10 clause( 659, [ equalish( 'e_4', 'e_2' ), ~( product( 'e_4', 'e_3', 'e_2' )
% 0.69/1.10 ), product( 'e_2', 'e_4', 'e_1' ) ] )
% 0.69/1.10 , clause( 658, [ equalish( 'e_4', 'e_2' ), equalish( 'e_4', 'e_2' ), ~(
% 0.69/1.10 product( 'e_4', 'e_3', 'e_2' ) ), product( 'e_2', 'e_4', 'e_1' ) ] )
% 0.69/1.10 , 0, 1, substitution( 0, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 197, [ equalish( 'e_4', 'e_2' ), product( 'e_2', 'e_4', 'e_1' ),
% 0.69/1.10 ~( product( 'e_4', 'e_3', 'e_2' ) ) ] )
% 0.69/1.10 , clause( 659, [ equalish( 'e_4', 'e_2' ), ~( product( 'e_4', 'e_3', 'e_2'
% 0.69/1.10 ) ), product( 'e_2', 'e_4', 'e_1' ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2
% 0.69/1.10 , 1 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 660, [ product( 'e_2', 'e_4', 'e_1' ), ~( product( 'e_4', 'e_3',
% 0.69/1.10 'e_2' ) ) ] )
% 0.69/1.10 , clause( 24, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.69/1.10 , 0, clause( 197, [ equalish( 'e_4', 'e_2' ), product( 'e_2', 'e_4', 'e_1'
% 0.69/1.10 ), ~( product( 'e_4', 'e_3', 'e_2' ) ) ] )
% 0.69/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 204, [ product( 'e_2', 'e_4', 'e_1' ), ~( product( 'e_4', 'e_3',
% 0.69/1.10 'e_2' ) ) ] )
% 0.69/1.10 , clause( 660, [ product( 'e_2', 'e_4', 'e_1' ), ~( product( 'e_4', 'e_3',
% 0.69/1.10 'e_2' ) ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.69/1.10 ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 661, [ equalish( 'e_2', 'e_4' ), product( 'e_4', 'e_2', 'e_1' ),
% 0.69/1.10 product( 'e_4', 'e_2', 'e_2' ), product( 'e_4', 'e_2', 'e_3' ) ] )
% 0.69/1.10 , clause( 57, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.69/1.10 , 1, clause( 77, [ product( 'e_4', 'e_2', 'e_1' ), product( 'e_4', 'e_2',
% 0.69/1.10 'e_2' ), product( 'e_4', 'e_2', 'e_3' ), product( 'e_4', 'e_2', 'e_4' ) ]
% 0.69/1.10 )
% 0.69/1.10 , 3, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_4' )] ), substitution( 1
% 0.69/1.10 , [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 662, [ product( 'e_4', 'e_2', 'e_1' ), product( 'e_4', 'e_2', 'e_2'
% 0.69/1.10 ), product( 'e_4', 'e_2', 'e_3' ) ] )
% 0.69/1.10 , clause( 19, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 0.69/1.10 , 0, clause( 661, [ equalish( 'e_2', 'e_4' ), product( 'e_4', 'e_2', 'e_1'
% 0.69/1.10 ), product( 'e_4', 'e_2', 'e_2' ), product( 'e_4', 'e_2', 'e_3' ) ] )
% 0.69/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 227, [ product( 'e_4', 'e_2', 'e_1' ), product( 'e_4', 'e_2', 'e_2'
% 0.69/1.10 ), product( 'e_4', 'e_2', 'e_3' ) ] )
% 0.69/1.10 , clause( 662, [ product( 'e_4', 'e_2', 'e_1' ), product( 'e_4', 'e_2',
% 0.69/1.10 'e_2' ), product( 'e_4', 'e_2', 'e_3' ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.69/1.10 , 2 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 668, [ equalish( 'e_3', 'e_4' ), ~( product( 'e_3', 'e_4', 'e_2' )
% 0.69/1.10 ), product( 'e_4', 'e_2', 'e_1' ), product( 'e_4', 'e_2', 'e_2' ) ] )
% 0.69/1.10 , clause( 38, [ equalish( X, Y ), ~( product( X, Y, Z ) ), ~( product( Y, Z
% 0.69/1.10 , X ) ) ] )
% 0.69/1.10 , 2, clause( 227, [ product( 'e_4', 'e_2', 'e_1' ), product( 'e_4', 'e_2',
% 0.69/1.10 'e_2' ), product( 'e_4', 'e_2', 'e_3' ) ] )
% 0.69/1.10 , 2, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_4' ), :=( Z, 'e_2' )] ),
% 0.69/1.10 substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 669, [ ~( product( 'e_3', 'e_4', 'e_2' ) ), product( 'e_4', 'e_2',
% 0.69/1.10 'e_1' ), product( 'e_4', 'e_2', 'e_2' ) ] )
% 0.69/1.10 , clause( 22, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.69/1.10 , 0, clause( 668, [ equalish( 'e_3', 'e_4' ), ~( product( 'e_3', 'e_4',
% 0.69/1.10 'e_2' ) ), product( 'e_4', 'e_2', 'e_1' ), product( 'e_4', 'e_2', 'e_2' )
% 0.69/1.10 ] )
% 0.69/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 233, [ product( 'e_4', 'e_2', 'e_1' ), product( 'e_4', 'e_2', 'e_2'
% 0.69/1.10 ), ~( product( 'e_3', 'e_4', 'e_2' ) ) ] )
% 0.69/1.10 , clause( 669, [ ~( product( 'e_3', 'e_4', 'e_2' ) ), product( 'e_4', 'e_2'
% 0.69/1.10 , 'e_1' ), product( 'e_4', 'e_2', 'e_2' ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.69/1.10 , 1 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 670, [ equalish( 'e_3', 'e_4' ), product( 'e_4', 'e_3', 'e_1' ),
% 0.69/1.10 product( 'e_4', 'e_3', 'e_2' ), product( 'e_4', 'e_3', 'e_3' ) ] )
% 0.69/1.10 , clause( 57, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.69/1.10 , 1, clause( 80, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3',
% 0.69/1.10 'e_2' ), product( 'e_4', 'e_3', 'e_3' ), product( 'e_4', 'e_3', 'e_4' ) ]
% 0.69/1.10 )
% 0.69/1.10 , 3, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_4' )] ), substitution( 1
% 0.69/1.10 , [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 671, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3', 'e_2'
% 0.69/1.10 ), product( 'e_4', 'e_3', 'e_3' ) ] )
% 0.69/1.10 , clause( 22, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.69/1.10 , 0, clause( 670, [ equalish( 'e_3', 'e_4' ), product( 'e_4', 'e_3', 'e_1'
% 0.69/1.10 ), product( 'e_4', 'e_3', 'e_2' ), product( 'e_4', 'e_3', 'e_3' ) ] )
% 0.69/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 259, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3', 'e_2'
% 0.69/1.10 ), product( 'e_4', 'e_3', 'e_3' ) ] )
% 0.69/1.10 , clause( 671, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3',
% 0.69/1.10 'e_2' ), product( 'e_4', 'e_3', 'e_3' ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.69/1.10 , 2 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 672, [ equalish( 'e_4', 'e_3' ), product( 'e_4', 'e_3', 'e_1' ),
% 0.69/1.10 product( 'e_4', 'e_3', 'e_2' ) ] )
% 0.69/1.10 , clause( 58, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.69/1.10 , 1, clause( 259, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3',
% 0.69/1.10 'e_2' ), product( 'e_4', 'e_3', 'e_3' ) ] )
% 0.69/1.10 , 2, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_3' )] ), substitution( 1
% 0.69/1.10 , [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 673, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3', 'e_2'
% 0.69/1.10 ) ] )
% 0.69/1.10 , clause( 25, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.69/1.10 , 0, clause( 672, [ equalish( 'e_4', 'e_3' ), product( 'e_4', 'e_3', 'e_1'
% 0.69/1.10 ), product( 'e_4', 'e_3', 'e_2' ) ] )
% 0.69/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 268, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3', 'e_2'
% 0.69/1.10 ) ] )
% 0.69/1.10 , clause( 673, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3',
% 0.69/1.10 'e_2' ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.69/1.10 ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 674, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_4', 'e_3', 'e_1'
% 0.69/1.10 ) ] )
% 0.69/1.10 , clause( 204, [ product( 'e_2', 'e_4', 'e_1' ), ~( product( 'e_4', 'e_3',
% 0.69/1.10 'e_2' ) ) ] )
% 0.69/1.10 , 1, clause( 268, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3',
% 0.69/1.10 'e_2' ) ] )
% 0.69/1.10 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 269, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_2', 'e_4', 'e_1'
% 0.69/1.10 ) ] )
% 0.69/1.10 , clause( 674, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_4', 'e_3',
% 0.69/1.10 'e_1' ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.69/1.10 ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 675, [ product( 'e_4', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2'
% 0.69/1.10 ), product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.69/1.10 , clause( 155, [ product( 'e_4', 'e_1', 'e_1' ), product( 'e_2', 'e_1',
% 0.69/1.10 'e_2' ), ~( product( 'e_2', 'e_4', 'e_1' ) ) ] )
% 0.69/1.10 , 2, clause( 269, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_2', 'e_4',
% 0.69/1.10 'e_1' ) ] )
% 0.69/1.10 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 279, [ product( 'e_4', 'e_1', 'e_1' ), product( 'e_4', 'e_3', 'e_1'
% 0.69/1.10 ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.69/1.10 , clause( 675, [ product( 'e_4', 'e_1', 'e_1' ), product( 'e_2', 'e_1',
% 0.69/1.10 'e_2' ), product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2
% 0.69/1.10 , 1 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 679, [ equalish( X, 'e_2' ), ~( product( X, 'e_4', 'e_1' ) ),
% 0.69/1.10 product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.69/1.10 , clause( 29, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.69/1.10 , Z ) ) ] )
% 0.69/1.10 , 2, clause( 269, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_2', 'e_4',
% 0.69/1.10 'e_1' ) ] )
% 0.69/1.10 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'e_4' ), :=( Z, 'e_1' ), :=( T,
% 0.69/1.10 'e_2' )] ), substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 287, [ equalish( X, 'e_2' ), product( 'e_4', 'e_3', 'e_1' ), ~(
% 0.69/1.10 product( X, 'e_4', 'e_1' ) ) ] )
% 0.69/1.10 , clause( 679, [ equalish( X, 'e_2' ), ~( product( X, 'e_4', 'e_1' ) ),
% 0.69/1.10 product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.69/1.10 2 ), ==>( 2, 1 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 680, [ equalish( 'e_1', 'e_2' ), product( 'e_4', 'e_1', 'e_1' ),
% 0.69/1.10 product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.69/1.10 , clause( 57, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.69/1.10 , 1, clause( 279, [ product( 'e_4', 'e_1', 'e_1' ), product( 'e_4', 'e_3',
% 0.69/1.10 'e_1' ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.69/1.10 , 2, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_2' )] ), substitution( 1
% 0.69/1.10 , [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 681, [ product( 'e_4', 'e_1', 'e_1' ), product( 'e_4', 'e_3', 'e_1'
% 0.69/1.10 ) ] )
% 0.69/1.10 , clause( 14, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.69/1.10 , 0, clause( 680, [ equalish( 'e_1', 'e_2' ), product( 'e_4', 'e_1', 'e_1'
% 0.69/1.10 ), product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.69/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 306, [ product( 'e_4', 'e_1', 'e_1' ), product( 'e_4', 'e_3', 'e_1'
% 0.69/1.10 ) ] )
% 0.69/1.10 , clause( 681, [ product( 'e_4', 'e_1', 'e_1' ), product( 'e_4', 'e_3',
% 0.69/1.10 'e_1' ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.69/1.10 ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 682, [ product( 'e_1', 'e_4', 'e_2' ), product( 'e_4', 'e_1', 'e_1'
% 0.69/1.10 ) ] )
% 0.69/1.10 , clause( 109, [ product( 'e_1', 'e_4', 'e_2' ), ~( product( 'e_4', 'e_3',
% 0.69/1.10 'e_1' ) ) ] )
% 0.69/1.10 , 1, clause( 306, [ product( 'e_4', 'e_1', 'e_1' ), product( 'e_4', 'e_3',
% 0.69/1.10 'e_1' ) ] )
% 0.69/1.10 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 307, [ product( 'e_4', 'e_1', 'e_1' ), product( 'e_1', 'e_4', 'e_2'
% 0.69/1.10 ) ] )
% 0.69/1.10 , clause( 682, [ product( 'e_1', 'e_4', 'e_2' ), product( 'e_4', 'e_1',
% 0.69/1.10 'e_1' ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.69/1.10 ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 686, [ equalish( 'e_4', 'e_1' ), ~( product( 'e_4', 'e_2', 'e_1' )
% 0.69/1.10 ), product( 'e_4', 'e_1', 'e_1' ) ] )
% 0.69/1.10 , clause( 39, [ equalish( X, Y ), ~( product( X, Z, Y ) ), ~( product( Y, X
% 0.69/1.10 , Z ) ) ] )
% 0.69/1.10 , 2, clause( 307, [ product( 'e_4', 'e_1', 'e_1' ), product( 'e_1', 'e_4',
% 0.69/1.10 'e_2' ) ] )
% 0.69/1.10 , 1, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_1' ), :=( Z, 'e_2' )] ),
% 0.69/1.10 substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 688, [ equalish( 'e_4', 'e_1' ), equalish( 'e_4', 'e_1' ), ~(
% 0.69/1.10 product( 'e_4', 'e_2', 'e_1' ) ) ] )
% 0.69/1.10 , clause( 58, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.69/1.10 , 1, clause( 686, [ equalish( 'e_4', 'e_1' ), ~( product( 'e_4', 'e_2',
% 0.69/1.10 'e_1' ) ), product( 'e_4', 'e_1', 'e_1' ) ] )
% 0.69/1.10 , 2, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_1' )] ), substitution( 1
% 0.69/1.10 , [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 factor(
% 0.69/1.10 clause( 689, [ equalish( 'e_4', 'e_1' ), ~( product( 'e_4', 'e_2', 'e_1' )
% 0.69/1.10 ) ] )
% 0.69/1.10 , clause( 688, [ equalish( 'e_4', 'e_1' ), equalish( 'e_4', 'e_1' ), ~(
% 0.69/1.10 product( 'e_4', 'e_2', 'e_1' ) ) ] )
% 0.69/1.10 , 0, 1, substitution( 0, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 318, [ equalish( 'e_4', 'e_1' ), ~( product( 'e_4', 'e_2', 'e_1' )
% 0.69/1.10 ) ] )
% 0.69/1.10 , clause( 689, [ equalish( 'e_4', 'e_1' ), ~( product( 'e_4', 'e_2', 'e_1'
% 0.69/1.10 ) ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.69/1.10 ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 690, [ ~( product( 'e_4', 'e_2', 'e_1' ) ) ] )
% 0.69/1.10 , clause( 23, [ ~( equalish( 'e_4', 'e_1' ) ) ] )
% 0.69/1.10 , 0, clause( 318, [ equalish( 'e_4', 'e_1' ), ~( product( 'e_4', 'e_2',
% 0.69/1.10 'e_1' ) ) ] )
% 0.69/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 328, [ ~( product( 'e_4', 'e_2', 'e_1' ) ) ] )
% 0.69/1.10 , clause( 690, [ ~( product( 'e_4', 'e_2', 'e_1' ) ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 691, [ equalish( 'e_3', 'e_4' ), product( 'e_3', 'e_4', 'e_1' ),
% 0.69/1.10 product( 'e_3', 'e_4', 'e_2' ), product( 'e_3', 'e_4', 'e_3' ) ] )
% 0.69/1.10 , clause( 58, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.69/1.10 , 1, clause( 93, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4',
% 0.69/1.10 'e_2' ), product( 'e_3', 'e_4', 'e_3' ), product( 'e_3', 'e_4', 'e_4' ) ]
% 0.69/1.10 )
% 0.69/1.10 , 3, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_4' )] ), substitution( 1
% 0.69/1.10 , [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 692, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4', 'e_2'
% 0.69/1.10 ), product( 'e_3', 'e_4', 'e_3' ) ] )
% 0.69/1.10 , clause( 22, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.69/1.10 , 0, clause( 691, [ equalish( 'e_3', 'e_4' ), product( 'e_3', 'e_4', 'e_1'
% 0.69/1.10 ), product( 'e_3', 'e_4', 'e_2' ), product( 'e_3', 'e_4', 'e_3' ) ] )
% 0.69/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 360, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4', 'e_2'
% 0.69/1.10 ), product( 'e_3', 'e_4', 'e_3' ) ] )
% 0.69/1.10 , clause( 692, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4',
% 0.69/1.10 'e_2' ), product( 'e_3', 'e_4', 'e_3' ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.69/1.10 , 2 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 693, [ equalish( 'e_4', 'e_3' ), product( 'e_3', 'e_4', 'e_1' ),
% 0.69/1.10 product( 'e_3', 'e_4', 'e_2' ) ] )
% 0.69/1.10 , clause( 57, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.69/1.10 , 1, clause( 360, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4',
% 0.69/1.10 'e_2' ), product( 'e_3', 'e_4', 'e_3' ) ] )
% 0.69/1.10 , 2, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_3' )] ), substitution( 1
% 0.69/1.10 , [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 694, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4', 'e_2'
% 0.69/1.10 ) ] )
% 0.69/1.10 , clause( 25, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.69/1.10 , 0, clause( 693, [ equalish( 'e_4', 'e_3' ), product( 'e_3', 'e_4', 'e_1'
% 0.69/1.10 ), product( 'e_3', 'e_4', 'e_2' ) ] )
% 0.69/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 370, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4', 'e_2'
% 0.69/1.10 ) ] )
% 0.69/1.10 , clause( 694, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4',
% 0.69/1.10 'e_2' ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.69/1.10 ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 695, [ product( 'e_4', 'e_2', 'e_1' ), product( 'e_4', 'e_2', 'e_2'
% 0.69/1.10 ), product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.69/1.10 , clause( 233, [ product( 'e_4', 'e_2', 'e_1' ), product( 'e_4', 'e_2',
% 0.69/1.10 'e_2' ), ~( product( 'e_3', 'e_4', 'e_2' ) ) ] )
% 0.69/1.10 , 2, clause( 370, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4',
% 0.69/1.10 'e_2' ) ] )
% 0.69/1.10 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 696, [ product( 'e_4', 'e_2', 'e_2' ), product( 'e_3', 'e_4', 'e_1'
% 0.69/1.10 ) ] )
% 0.69/1.10 , clause( 328, [ ~( product( 'e_4', 'e_2', 'e_1' ) ) ] )
% 0.69/1.10 , 0, clause( 695, [ product( 'e_4', 'e_2', 'e_1' ), product( 'e_4', 'e_2',
% 0.69/1.10 'e_2' ), product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.69/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 373, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_4', 'e_2', 'e_2'
% 0.69/1.10 ) ] )
% 0.69/1.10 , clause( 696, [ product( 'e_4', 'e_2', 'e_2' ), product( 'e_3', 'e_4',
% 0.69/1.10 'e_1' ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.69/1.10 ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 697, [ equalish( 'e_4', 'e_2' ), product( 'e_3', 'e_4', 'e_1' ) ]
% 0.69/1.10 )
% 0.69/1.10 , clause( 58, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.69/1.10 , 1, clause( 373, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_4', 'e_2',
% 0.69/1.10 'e_2' ) ] )
% 0.69/1.10 , 1, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_2' )] ), substitution( 1
% 0.69/1.10 , [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 698, [ product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.69/1.10 , clause( 24, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.69/1.10 , 0, clause( 697, [ equalish( 'e_4', 'e_2' ), product( 'e_3', 'e_4', 'e_1'
% 0.69/1.10 ) ] )
% 0.69/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 411, [ product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.69/1.10 , clause( 698, [ product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 699, [ equalish( 'e_3', 'e_2' ), product( 'e_4', 'e_3', 'e_1' ) ]
% 0.69/1.10 )
% 0.69/1.10 , clause( 287, [ equalish( X, 'e_2' ), product( 'e_4', 'e_3', 'e_1' ), ~(
% 0.69/1.10 product( X, 'e_4', 'e_1' ) ) ] )
% 0.69/1.10 , 2, clause( 411, [ product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 700, [ product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.69/1.10 , clause( 21, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.69/1.10 , 0, clause( 699, [ equalish( 'e_3', 'e_2' ), product( 'e_4', 'e_3', 'e_1'
% 0.69/1.10 ) ] )
% 0.69/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 412, [ product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.69/1.10 , clause( 700, [ product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 701, [ product( 'e_1', 'e_3', 'e_2' ), product( 'e_1', 'e_3', 'e_3'
% 0.69/1.10 ) ] )
% 0.69/1.10 , clause( 90, [ product( 'e_1', 'e_3', 'e_2' ), product( 'e_1', 'e_3',
% 0.69/1.10 'e_3' ), ~( product( 'e_3', 'e_4', 'e_1' ) ) ] )
% 0.69/1.10 , 2, clause( 411, [ product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.69/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 414, [ product( 'e_1', 'e_3', 'e_2' ), product( 'e_1', 'e_3', 'e_3'
% 0.69/1.10 ) ] )
% 0.69/1.10 , clause( 701, [ product( 'e_1', 'e_3', 'e_2' ), product( 'e_1', 'e_3',
% 0.69/1.10 'e_3' ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.69/1.10 ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 702, [ product( 'e_1', 'e_4', 'e_2' ) ] )
% 0.69/1.10 , clause( 109, [ product( 'e_1', 'e_4', 'e_2' ), ~( product( 'e_4', 'e_3',
% 0.69/1.10 'e_1' ) ) ] )
% 0.69/1.10 , 1, clause( 412, [ product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.69/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 423, [ product( 'e_1', 'e_4', 'e_2' ) ] )
% 0.69/1.10 , clause( 702, [ product( 'e_1', 'e_4', 'e_2' ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 704, [ equalish( X, 'e_4' ), ~( product( 'e_1', X, 'e_2' ) ) ] )
% 0.69/1.10 , clause( 28, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.69/1.10 , Z ) ) ] )
% 0.69/1.10 , 2, clause( 423, [ product( 'e_1', 'e_4', 'e_2' ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, 'e_1' ), :=( Y, X ), :=( Z, 'e_2' ), :=( T,
% 0.69/1.10 'e_4' )] ), substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 436, [ equalish( X, 'e_4' ), ~( product( 'e_1', X, 'e_2' ) ) ] )
% 0.69/1.10 , clause( 704, [ equalish( X, 'e_4' ), ~( product( 'e_1', X, 'e_2' ) ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.69/1.10 1 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 705, [ equalish( 'e_1', 'e_3' ), product( 'e_1', 'e_3', 'e_2' ) ]
% 0.69/1.10 )
% 0.69/1.10 , clause( 58, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.69/1.10 , 1, clause( 414, [ product( 'e_1', 'e_3', 'e_2' ), product( 'e_1', 'e_3',
% 0.69/1.10 'e_3' ) ] )
% 0.69/1.10 , 1, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_3' )] ), substitution( 1
% 0.69/1.10 , [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 706, [ product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.10 , clause( 15, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.69/1.10 , 0, clause( 705, [ equalish( 'e_1', 'e_3' ), product( 'e_1', 'e_3', 'e_2'
% 0.69/1.10 ) ] )
% 0.69/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 445, [ product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.10 , clause( 706, [ product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 707, [ equalish( 'e_3', 'e_4' ) ] )
% 0.69/1.10 , clause( 436, [ equalish( X, 'e_4' ), ~( product( 'e_1', X, 'e_2' ) ) ] )
% 0.69/1.10 , 1, clause( 445, [ product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 708, [] )
% 0.69/1.10 , clause( 22, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.69/1.10 , 0, clause( 707, [ equalish( 'e_3', 'e_4' ) ] )
% 0.69/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 446, [] )
% 0.69/1.10 , clause( 708, [] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 end.
% 0.69/1.10
% 0.69/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.10
% 0.69/1.10 Memory use:
% 0.69/1.10
% 0.69/1.10 space for terms: 8176
% 0.69/1.10 space for clauses: 19918
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 clauses generated: 937
% 0.69/1.10 clauses kept: 447
% 0.69/1.10 clauses selected: 170
% 0.69/1.10 clauses deleted: 35
% 0.69/1.10 clauses inuse deleted: 0
% 0.69/1.10
% 0.69/1.10 subsentry: 6790
% 0.69/1.10 literals s-matched: 5126
% 0.69/1.10 literals matched: 4956
% 0.69/1.10 full subsumption: 3624
% 0.69/1.10
% 0.69/1.10 checksum: -1177095690
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 Bliksem ended
%------------------------------------------------------------------------------