TSTP Solution File: GRP126-2.004 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP126-2.004 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n025.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 07:35:13 EDT 2022
% Result : Unsatisfiable 0.72s 1.13s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : GRP126-2.004 : TPTP v8.1.0. Released v1.2.0.
% 0.13/0.14 % Command : bliksem %s
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Mon Jun 13 23:29:24 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.72/1.13 *** allocated 10000 integers for termspace/termends
% 0.72/1.13 *** allocated 10000 integers for clauses
% 0.72/1.13 *** allocated 10000 integers for justifications
% 0.72/1.13 Bliksem 1.12
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Automatic Strategy Selection
% 0.72/1.13
% 0.72/1.13 Clauses:
% 0.72/1.13 [
% 0.72/1.13 [ next( 'e_1', 'e_2' ) ],
% 0.72/1.13 [ next( 'e_2', 'e_3' ) ],
% 0.72/1.13 [ next( 'e_3', 'e_4' ) ],
% 0.72/1.13 [ greater( 'e_2', 'e_1' ) ],
% 0.72/1.13 [ greater( 'e_3', 'e_1' ) ],
% 0.72/1.13 [ greater( 'e_4', 'e_1' ) ],
% 0.72/1.13 [ greater( 'e_3', 'e_2' ) ],
% 0.72/1.13 [ greater( 'e_4', 'e_2' ) ],
% 0.72/1.13 [ greater( 'e_4', 'e_3' ) ],
% 0.72/1.13 [ ~( product( X, 'e_1', Y ) ), ~( next( X, Z ) ), ~( greater( Y, Z ) ) ]
% 0.72/1.13 ,
% 0.72/1.13 [ 'group_element'( 'e_1' ) ],
% 0.72/1.13 [ 'group_element'( 'e_2' ) ],
% 0.72/1.13 [ 'group_element'( 'e_3' ) ],
% 0.72/1.13 [ 'group_element'( 'e_4' ) ],
% 0.72/1.13 [ ~( equalish( 'e_1', 'e_2' ) ) ],
% 0.72/1.13 [ ~( equalish( 'e_1', 'e_3' ) ) ],
% 0.72/1.13 [ ~( equalish( 'e_1', 'e_4' ) ) ],
% 0.72/1.13 [ ~( equalish( 'e_2', 'e_1' ) ) ],
% 0.72/1.13 [ ~( equalish( 'e_2', 'e_3' ) ) ],
% 0.72/1.13 [ ~( equalish( 'e_2', 'e_4' ) ) ],
% 0.72/1.13 [ ~( equalish( 'e_3', 'e_1' ) ) ],
% 0.72/1.13 [ ~( equalish( 'e_3', 'e_2' ) ) ],
% 0.72/1.13 [ ~( equalish( 'e_3', 'e_4' ) ) ],
% 0.72/1.13 [ ~( equalish( 'e_4', 'e_1' ) ) ],
% 0.72/1.13 [ ~( equalish( 'e_4', 'e_2' ) ) ],
% 0.72/1.13 [ ~( equalish( 'e_4', 'e_3' ) ) ],
% 0.72/1.13 [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ), product( X, Y,
% 0.72/1.13 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ), product( X, Y,
% 0.72/1.13 'e_4' ) ],
% 0.72/1.13 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish( Z, T ) ]
% 0.72/1.13 ,
% 0.72/1.13 [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish( Y, T ) ]
% 0.72/1.13 ,
% 0.72/1.13 [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish( X, T ) ]
% 0.72/1.13 ,
% 0.72/1.13 [ product( X, X, X ) ],
% 0.72/1.13 [ ~( product( X, Y, Z ) ), ~( product( Y, X, T ) ), product( Z, T, Y ) ]
% 0.72/1.13
% 0.72/1.13 ] .
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 percentage equality = 0.000000, percentage horn = 0.968750
% 0.72/1.13 This is a near-Horn, non-equality problem
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Options Used:
% 0.72/1.13
% 0.72/1.13 useres = 1
% 0.72/1.13 useparamod = 0
% 0.72/1.13 useeqrefl = 0
% 0.72/1.13 useeqfact = 0
% 0.72/1.13 usefactor = 1
% 0.72/1.13 usesimpsplitting = 0
% 0.72/1.13 usesimpdemod = 0
% 0.72/1.13 usesimpres = 4
% 0.72/1.13
% 0.72/1.13 resimpinuse = 1000
% 0.72/1.13 resimpclauses = 20000
% 0.72/1.13 substype = standard
% 0.72/1.13 backwardsubs = 1
% 0.72/1.13 selectoldest = 5
% 0.72/1.13
% 0.72/1.13 litorderings [0] = split
% 0.72/1.13 litorderings [1] = liftord
% 0.72/1.13
% 0.72/1.13 termordering = none
% 0.72/1.13
% 0.72/1.13 litapriori = 1
% 0.72/1.13 termapriori = 0
% 0.72/1.13 litaposteriori = 0
% 0.72/1.13 termaposteriori = 0
% 0.72/1.13 demodaposteriori = 0
% 0.72/1.13 ordereqreflfact = 0
% 0.72/1.13
% 0.72/1.13 litselect = negative
% 0.72/1.13
% 0.72/1.13 maxweight = 30000
% 0.72/1.13 maxdepth = 30000
% 0.72/1.13 maxlength = 115
% 0.72/1.13 maxnrvars = 195
% 0.72/1.13 excuselevel = 0
% 0.72/1.13 increasemaxweight = 0
% 0.72/1.13
% 0.72/1.13 maxselected = 10000000
% 0.72/1.13 maxnrclauses = 10000000
% 0.72/1.13
% 0.72/1.13 showgenerated = 0
% 0.72/1.13 showkept = 0
% 0.72/1.13 showselected = 0
% 0.72/1.13 showdeleted = 0
% 0.72/1.13 showresimp = 1
% 0.72/1.13 showstatus = 2000
% 0.72/1.13
% 0.72/1.13 prologoutput = 1
% 0.72/1.13 nrgoals = 5000000
% 0.72/1.13 totalproof = 1
% 0.72/1.13
% 0.72/1.13 Symbols occurring in the translation:
% 0.72/1.13
% 0.72/1.13 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.13 . [1, 2] (w:1, o:26, a:1, s:1, b:0),
% 0.72/1.13 ! [4, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.72/1.13 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.13 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.13 'e_1' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.72/1.13 'e_2' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.72/1.13 next [41, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.72/1.13 'e_3' [42, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.72/1.13 'e_4' [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.72/1.13 greater [44, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.72/1.13 product [47, 3] (w:1, o:54, a:1, s:1, b:0),
% 0.72/1.13 'group_element' [49, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.72/1.13 equalish [50, 2] (w:1, o:53, a:1, s:1, b:0).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Starting Search:
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Bliksems!, er is een bewijs:
% 0.72/1.13 % SZS status Unsatisfiable
% 0.72/1.13 % SZS output start Refutation
% 0.72/1.13
% 0.72/1.13 clause( 0, [ next( 'e_1', 'e_2' ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 1, [ next( 'e_2', 'e_3' ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 7, [ greater( 'e_4', 'e_2' ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 8, [ greater( 'e_4', 'e_3' ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 9, [ ~( product( X, 'e_1', Y ) ), ~( greater( Y, Z ) ), ~( next( X
% 0.72/1.13 , Z ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 10, [ 'group_element'( 'e_1' ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 11, [ 'group_element'( 'e_2' ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 12, [ 'group_element'( 'e_3' ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 13, [ 'group_element'( 'e_4' ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 14, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 16, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 17, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 19, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 21, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 22, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 23, [ ~( equalish( 'e_4', 'e_1' ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 24, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 25, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 26, [ ~( 'group_element'( X ) ), product( X, Y, 'e_4' ), product( X
% 0.72/1.13 , Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ), ~(
% 0.72/1.13 'group_element'( Y ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 27, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y,
% 0.72/1.13 T ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 28, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T,
% 0.72/1.13 Z ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 29, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y,
% 0.72/1.13 Z ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 30, [ product( X, X, X ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 31, [ ~( product( X, Y, Z ) ), product( Z, T, Y ), ~( product( Y, X
% 0.72/1.13 , T ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 38, [ ~( product( 'e_2', 'e_1', X ) ), ~( greater( X, 'e_3' ) ) ]
% 0.72/1.13 )
% 0.72/1.13 .
% 0.72/1.13 clause( 39, [ ~( product( 'e_1', 'e_1', X ) ), ~( greater( X, 'e_2' ) ) ]
% 0.72/1.13 )
% 0.72/1.13 .
% 0.72/1.13 clause( 41, [ product( X, 'e_1', 'e_4' ), product( X, 'e_1', 'e_1' ),
% 0.72/1.13 product( X, 'e_1', 'e_2' ), product( X, 'e_1', 'e_3' ), ~(
% 0.72/1.13 'group_element'( X ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 43, [ product( X, 'e_3', 'e_4' ), product( X, 'e_3', 'e_1' ),
% 0.72/1.13 product( X, 'e_3', 'e_2' ), product( X, 'e_3', 'e_3' ), ~(
% 0.72/1.13 'group_element'( X ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 44, [ product( X, 'e_4', 'e_4' ), product( X, 'e_4', 'e_1' ),
% 0.72/1.13 product( X, 'e_4', 'e_2' ), product( X, 'e_4', 'e_3' ), ~(
% 0.72/1.13 'group_element'( X ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 45, [ ~( product( 'e_2', 'e_1', 'e_4' ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 46, [ equalish( X, Y ), ~( product( Y, Y, X ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 48, [ ~( product( 'e_1', 'e_1', 'e_4' ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 49, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 50, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 52, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2'
% 0.72/1.13 ), product( 'e_2', 'e_1', 'e_3' ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 57, [ product( 'e_2', 'e_1', 'e_1' ), equalish( X, 'e_1' ), product(
% 0.72/1.13 'e_2', 'e_1', 'e_2' ), ~( product( 'e_2', X, 'e_3' ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 76, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3', 'e_2'
% 0.72/1.13 ), product( 'e_4', 'e_3', 'e_3' ), product( 'e_4', 'e_3', 'e_4' ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 87, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3', 'e_2'
% 0.72/1.13 ), product( 'e_4', 'e_3', 'e_3' ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 90, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3', 'e_2'
% 0.72/1.13 ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 91, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_2'
% 0.72/1.13 ), product( 'e_1', 'e_4', 'e_3' ), product( 'e_1', 'e_4', 'e_4' ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 92, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_2'
% 0.72/1.13 ), product( 'e_2', 'e_4', 'e_3' ), product( 'e_2', 'e_4', 'e_4' ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 93, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4', 'e_2'
% 0.72/1.13 ), product( 'e_3', 'e_4', 'e_3' ), product( 'e_3', 'e_4', 'e_4' ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 94, [ product( 'e_4', 'e_3', 'e_1' ), product( X, 'e_2', 'e_4' ),
% 0.72/1.13 ~( product( 'e_3', 'e_4', X ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 99, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_2'
% 0.72/1.13 ), product( 'e_1', 'e_4', 'e_3' ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 101, [ product( 'e_1', 'e_4', 'e_1' ), equalish( X, 'e_1' ),
% 0.72/1.13 product( 'e_1', 'e_4', 'e_2' ), ~( product( X, 'e_4', 'e_3' ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 106, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_2'
% 0.72/1.13 ), product( 'e_2', 'e_4', 'e_3' ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 107, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_1'
% 0.72/1.13 ), product( 'e_1', 'e_4', 'e_2' ), product( 'e_2', 'e_4', 'e_2' ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 108, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_1', 'e_1'
% 0.72/1.13 ), product( 'e_2', 'e_1', 'e_2' ), product( 'e_2', 'e_4', 'e_2' ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 115, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_1'
% 0.72/1.13 ), product( 'e_1', 'e_4', 'e_2' ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 117, [ product( 'e_1', 'e_4', 'e_1' ), equalish( X, 'e_1' ),
% 0.72/1.13 product( 'e_2', 'e_4', 'e_1' ), ~( product( X, 'e_4', 'e_2' ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 120, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_1'
% 0.72/1.13 ), equalish( 'e_2', 'e_1' ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 131, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_1'
% 0.72/1.13 ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 134, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_1'
% 0.72/1.13 ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 136, [ equalish( X, 'e_2' ), product( 'e_1', 'e_4', 'e_1' ), ~(
% 0.72/1.13 product( X, 'e_4', 'e_1' ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 152, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4', 'e_2'
% 0.72/1.13 ), product( 'e_3', 'e_4', 'e_3' ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 158, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4', 'e_2'
% 0.72/1.13 ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 159, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_3', 'e_4', 'e_1'
% 0.72/1.13 ), product( 'e_2', 'e_2', 'e_4' ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 180, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_3', 'e_4', 'e_1'
% 0.72/1.13 ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 186, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_1', 'e_4', 'e_1'
% 0.72/1.13 ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 196, [ product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 197, [ product( X, 'e_1', 'e_4' ), ~( product( 'e_3', 'e_4', X ) )
% 0.72/1.13 ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 203, [ product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 204, [] )
% 0.72/1.13 .
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 % SZS output end Refutation
% 0.72/1.13 found a proof!
% 0.72/1.13
% 0.72/1.13 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.13
% 0.72/1.13 initialclauses(
% 0.72/1.13 [ clause( 206, [ next( 'e_1', 'e_2' ) ] )
% 0.72/1.13 , clause( 207, [ next( 'e_2', 'e_3' ) ] )
% 0.72/1.13 , clause( 208, [ next( 'e_3', 'e_4' ) ] )
% 0.72/1.13 , clause( 209, [ greater( 'e_2', 'e_1' ) ] )
% 0.72/1.13 , clause( 210, [ greater( 'e_3', 'e_1' ) ] )
% 0.72/1.13 , clause( 211, [ greater( 'e_4', 'e_1' ) ] )
% 0.72/1.13 , clause( 212, [ greater( 'e_3', 'e_2' ) ] )
% 0.72/1.13 , clause( 213, [ greater( 'e_4', 'e_2' ) ] )
% 0.72/1.13 , clause( 214, [ greater( 'e_4', 'e_3' ) ] )
% 0.72/1.13 , clause( 215, [ ~( product( X, 'e_1', Y ) ), ~( next( X, Z ) ), ~( greater(
% 0.72/1.13 Y, Z ) ) ] )
% 0.72/1.13 , clause( 216, [ 'group_element'( 'e_1' ) ] )
% 0.72/1.13 , clause( 217, [ 'group_element'( 'e_2' ) ] )
% 0.72/1.13 , clause( 218, [ 'group_element'( 'e_3' ) ] )
% 0.72/1.13 , clause( 219, [ 'group_element'( 'e_4' ) ] )
% 0.72/1.13 , clause( 220, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.72/1.13 , clause( 221, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.72/1.13 , clause( 222, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.72/1.13 , clause( 223, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.72/1.13 , clause( 224, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.72/1.13 , clause( 225, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 0.72/1.13 , clause( 226, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.72/1.13 , clause( 227, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.72/1.13 , clause( 228, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.72/1.13 , clause( 229, [ ~( equalish( 'e_4', 'e_1' ) ) ] )
% 0.72/1.13 , clause( 230, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.72/1.13 , clause( 231, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.72/1.13 , clause( 232, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.72/1.13 product( X, Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ),
% 0.72/1.13 product( X, Y, 'e_4' ) ] )
% 0.72/1.13 , clause( 233, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish(
% 0.72/1.13 Z, T ) ] )
% 0.72/1.13 , clause( 234, [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish(
% 0.72/1.13 Y, T ) ] )
% 0.72/1.13 , clause( 235, [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish(
% 0.72/1.13 X, T ) ] )
% 0.72/1.13 , clause( 236, [ product( X, X, X ) ] )
% 0.72/1.13 , clause( 237, [ ~( product( X, Y, Z ) ), ~( product( Y, X, T ) ), product(
% 0.72/1.13 Z, T, Y ) ] )
% 0.72/1.13 ] ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 0, [ next( 'e_1', 'e_2' ) ] )
% 0.72/1.13 , clause( 206, [ next( 'e_1', 'e_2' ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 1, [ next( 'e_2', 'e_3' ) ] )
% 0.72/1.13 , clause( 207, [ next( 'e_2', 'e_3' ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 7, [ greater( 'e_4', 'e_2' ) ] )
% 0.72/1.13 , clause( 213, [ greater( 'e_4', 'e_2' ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 8, [ greater( 'e_4', 'e_3' ) ] )
% 0.72/1.13 , clause( 214, [ greater( 'e_4', 'e_3' ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 9, [ ~( product( X, 'e_1', Y ) ), ~( greater( Y, Z ) ), ~( next( X
% 0.72/1.13 , Z ) ) ] )
% 0.72/1.13 , clause( 215, [ ~( product( X, 'e_1', Y ) ), ~( next( X, Z ) ), ~( greater(
% 0.72/1.13 Y, Z ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.13 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 10, [ 'group_element'( 'e_1' ) ] )
% 0.72/1.13 , clause( 216, [ 'group_element'( 'e_1' ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 11, [ 'group_element'( 'e_2' ) ] )
% 0.72/1.13 , clause( 217, [ 'group_element'( 'e_2' ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 12, [ 'group_element'( 'e_3' ) ] )
% 0.72/1.13 , clause( 218, [ 'group_element'( 'e_3' ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 13, [ 'group_element'( 'e_4' ) ] )
% 0.72/1.13 , clause( 219, [ 'group_element'( 'e_4' ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 14, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.72/1.13 , clause( 220, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 16, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.72/1.13 , clause( 222, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 17, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.72/1.13 , clause( 223, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 19, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 0.72/1.13 , clause( 225, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 21, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.72/1.13 , clause( 227, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 22, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.72/1.13 , clause( 228, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 23, [ ~( equalish( 'e_4', 'e_1' ) ) ] )
% 0.72/1.13 , clause( 229, [ ~( equalish( 'e_4', 'e_1' ) ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 24, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.72/1.13 , clause( 230, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 25, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.72/1.13 , clause( 231, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 26, [ ~( 'group_element'( X ) ), product( X, Y, 'e_4' ), product( X
% 0.72/1.13 , Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ), ~(
% 0.72/1.13 'group_element'( Y ) ) ] )
% 0.72/1.13 , clause( 232, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.72/1.13 product( X, Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ),
% 0.72/1.13 product( X, Y, 'e_4' ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 ), ==>( 1, 5 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 ), ==>( 5, 1 )] )
% 0.72/1.13 ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 27, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y,
% 0.72/1.13 T ) ) ] )
% 0.72/1.13 , clause( 233, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish(
% 0.72/1.13 Z, T ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.13 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 28, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T,
% 0.72/1.13 Z ) ) ] )
% 0.72/1.13 , clause( 234, [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish(
% 0.72/1.13 Y, T ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.13 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 29, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y,
% 0.72/1.13 Z ) ) ] )
% 0.72/1.13 , clause( 235, [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish(
% 0.72/1.13 X, T ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.13 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 30, [ product( X, X, X ) ] )
% 0.72/1.13 , clause( 236, [ product( X, X, X ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 31, [ ~( product( X, Y, Z ) ), product( Z, T, Y ), ~( product( Y, X
% 0.72/1.13 , T ) ) ] )
% 0.72/1.13 , clause( 237, [ ~( product( X, Y, Z ) ), ~( product( Y, X, T ) ), product(
% 0.72/1.13 Z, T, Y ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.13 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 257, [ ~( product( 'e_2', 'e_1', X ) ), ~( greater( X, 'e_3' ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , clause( 9, [ ~( product( X, 'e_1', Y ) ), ~( greater( Y, Z ) ), ~( next(
% 0.72/1.13 X, Z ) ) ] )
% 0.72/1.13 , 2, clause( 1, [ next( 'e_2', 'e_3' ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, 'e_2' ), :=( Y, X ), :=( Z, 'e_3' )] ),
% 0.72/1.13 substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 38, [ ~( product( 'e_2', 'e_1', X ) ), ~( greater( X, 'e_3' ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , clause( 257, [ ~( product( 'e_2', 'e_1', X ) ), ~( greater( X, 'e_3' ) )
% 0.72/1.13 ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.72/1.13 1 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 258, [ ~( product( 'e_1', 'e_1', X ) ), ~( greater( X, 'e_2' ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , clause( 9, [ ~( product( X, 'e_1', Y ) ), ~( greater( Y, Z ) ), ~( next(
% 0.72/1.13 X, Z ) ) ] )
% 0.72/1.13 , 2, clause( 0, [ next( 'e_1', 'e_2' ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, 'e_1' ), :=( Y, X ), :=( Z, 'e_2' )] ),
% 0.72/1.13 substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 39, [ ~( product( 'e_1', 'e_1', X ) ), ~( greater( X, 'e_2' ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , clause( 258, [ ~( product( 'e_1', 'e_1', X ) ), ~( greater( X, 'e_2' ) )
% 0.72/1.13 ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.72/1.13 1 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 260, [ ~( 'group_element'( X ) ), product( X, 'e_1', 'e_4' ),
% 0.72/1.13 product( X, 'e_1', 'e_1' ), product( X, 'e_1', 'e_2' ), product( X, 'e_1'
% 0.72/1.13 , 'e_3' ) ] )
% 0.72/1.13 , clause( 26, [ ~( 'group_element'( X ) ), product( X, Y, 'e_4' ), product(
% 0.72/1.13 X, Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ), ~(
% 0.72/1.13 'group_element'( Y ) ) ] )
% 0.72/1.13 , 5, clause( 10, [ 'group_element'( 'e_1' ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_1' )] ), substitution( 1, [] )
% 0.72/1.13 ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 41, [ product( X, 'e_1', 'e_4' ), product( X, 'e_1', 'e_1' ),
% 0.72/1.13 product( X, 'e_1', 'e_2' ), product( X, 'e_1', 'e_3' ), ~(
% 0.72/1.13 'group_element'( X ) ) ] )
% 0.72/1.13 , clause( 260, [ ~( 'group_element'( X ) ), product( X, 'e_1', 'e_4' ),
% 0.72/1.13 product( X, 'e_1', 'e_1' ), product( X, 'e_1', 'e_2' ), product( X, 'e_1'
% 0.72/1.13 , 'e_3' ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 4 ), ==>( 1,
% 0.72/1.13 0 ), ==>( 2, 1 ), ==>( 3, 2 ), ==>( 4, 3 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 262, [ ~( 'group_element'( X ) ), product( X, 'e_3', 'e_4' ),
% 0.72/1.13 product( X, 'e_3', 'e_1' ), product( X, 'e_3', 'e_2' ), product( X, 'e_3'
% 0.72/1.13 , 'e_3' ) ] )
% 0.72/1.13 , clause( 26, [ ~( 'group_element'( X ) ), product( X, Y, 'e_4' ), product(
% 0.72/1.13 X, Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ), ~(
% 0.72/1.13 'group_element'( Y ) ) ] )
% 0.72/1.13 , 5, clause( 12, [ 'group_element'( 'e_3' ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_3' )] ), substitution( 1, [] )
% 0.72/1.13 ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 43, [ product( X, 'e_3', 'e_4' ), product( X, 'e_3', 'e_1' ),
% 0.72/1.13 product( X, 'e_3', 'e_2' ), product( X, 'e_3', 'e_3' ), ~(
% 0.72/1.13 'group_element'( X ) ) ] )
% 0.72/1.13 , clause( 262, [ ~( 'group_element'( X ) ), product( X, 'e_3', 'e_4' ),
% 0.72/1.13 product( X, 'e_3', 'e_1' ), product( X, 'e_3', 'e_2' ), product( X, 'e_3'
% 0.72/1.13 , 'e_3' ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 4 ), ==>( 1,
% 0.72/1.13 0 ), ==>( 2, 1 ), ==>( 3, 2 ), ==>( 4, 3 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 264, [ ~( 'group_element'( X ) ), product( X, 'e_4', 'e_4' ),
% 0.72/1.13 product( X, 'e_4', 'e_1' ), product( X, 'e_4', 'e_2' ), product( X, 'e_4'
% 0.72/1.13 , 'e_3' ) ] )
% 0.72/1.13 , clause( 26, [ ~( 'group_element'( X ) ), product( X, Y, 'e_4' ), product(
% 0.72/1.13 X, Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ), ~(
% 0.72/1.13 'group_element'( Y ) ) ] )
% 0.72/1.13 , 5, clause( 13, [ 'group_element'( 'e_4' ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_4' )] ), substitution( 1, [] )
% 0.72/1.13 ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 44, [ product( X, 'e_4', 'e_4' ), product( X, 'e_4', 'e_1' ),
% 0.72/1.13 product( X, 'e_4', 'e_2' ), product( X, 'e_4', 'e_3' ), ~(
% 0.72/1.13 'group_element'( X ) ) ] )
% 0.72/1.13 , clause( 264, [ ~( 'group_element'( X ) ), product( X, 'e_4', 'e_4' ),
% 0.72/1.13 product( X, 'e_4', 'e_1' ), product( X, 'e_4', 'e_2' ), product( X, 'e_4'
% 0.72/1.13 , 'e_3' ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 4 ), ==>( 1,
% 0.72/1.13 0 ), ==>( 2, 1 ), ==>( 3, 2 ), ==>( 4, 3 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 265, [ ~( product( 'e_2', 'e_1', 'e_4' ) ) ] )
% 0.72/1.13 , clause( 38, [ ~( product( 'e_2', 'e_1', X ) ), ~( greater( X, 'e_3' ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , 1, clause( 8, [ greater( 'e_4', 'e_3' ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, 'e_4' )] ), substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 45, [ ~( product( 'e_2', 'e_1', 'e_4' ) ) ] )
% 0.72/1.13 , clause( 265, [ ~( product( 'e_2', 'e_1', 'e_4' ) ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 267, [ equalish( X, Y ), ~( product( Y, Y, X ) ) ] )
% 0.72/1.13 , clause( 27, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y
% 0.72/1.13 , T ) ) ] )
% 0.72/1.13 , 2, clause( 30, [ product( X, X, X ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Y ), :=( Z, X ), :=( T, Y )] ),
% 0.72/1.13 substitution( 1, [ :=( X, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 46, [ equalish( X, Y ), ~( product( Y, Y, X ) ) ] )
% 0.72/1.13 , clause( 267, [ equalish( X, Y ), ~( product( Y, Y, X ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 ), ==>( 1, 1 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 268, [ ~( product( 'e_1', 'e_1', 'e_4' ) ) ] )
% 0.72/1.13 , clause( 39, [ ~( product( 'e_1', 'e_1', X ) ), ~( greater( X, 'e_2' ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , 1, clause( 7, [ greater( 'e_4', 'e_2' ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, 'e_4' )] ), substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 48, [ ~( product( 'e_1', 'e_1', 'e_4' ) ) ] )
% 0.72/1.13 , clause( 268, [ ~( product( 'e_1', 'e_1', 'e_4' ) ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 270, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.72/1.13 , clause( 28, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.72/1.13 , Z ) ) ] )
% 0.72/1.13 , 2, clause( 30, [ product( X, X, X ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Y ), :=( T, Y )] ),
% 0.72/1.13 substitution( 1, [ :=( X, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 49, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.72/1.13 , clause( 270, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 ), ==>( 1, 1 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 272, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.72/1.13 , clause( 29, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.72/1.13 , Z ) ) ] )
% 0.72/1.13 , 2, clause( 30, [ product( X, X, X ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, Y )] ),
% 0.72/1.13 substitution( 1, [ :=( X, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 50, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.72/1.13 , clause( 272, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 ), ==>( 1, 1 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 273, [ product( 'e_2', 'e_1', 'e_4' ), product( 'e_2', 'e_1', 'e_1'
% 0.72/1.13 ), product( 'e_2', 'e_1', 'e_2' ), product( 'e_2', 'e_1', 'e_3' ) ] )
% 0.72/1.13 , clause( 41, [ product( X, 'e_1', 'e_4' ), product( X, 'e_1', 'e_1' ),
% 0.72/1.13 product( X, 'e_1', 'e_2' ), product( X, 'e_1', 'e_3' ), ~(
% 0.72/1.13 'group_element'( X ) ) ] )
% 0.72/1.13 , 4, clause( 11, [ 'group_element'( 'e_2' ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 274, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2'
% 0.72/1.13 ), product( 'e_2', 'e_1', 'e_3' ) ] )
% 0.72/1.13 , clause( 45, [ ~( product( 'e_2', 'e_1', 'e_4' ) ) ] )
% 0.72/1.13 , 0, clause( 273, [ product( 'e_2', 'e_1', 'e_4' ), product( 'e_2', 'e_1',
% 0.72/1.13 'e_1' ), product( 'e_2', 'e_1', 'e_2' ), product( 'e_2', 'e_1', 'e_3' ) ]
% 0.72/1.13 )
% 0.72/1.13 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 52, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2'
% 0.72/1.13 ), product( 'e_2', 'e_1', 'e_3' ) ] )
% 0.72/1.13 , clause( 274, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1',
% 0.72/1.13 'e_2' ), product( 'e_2', 'e_1', 'e_3' ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.72/1.13 , 2 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 280, [ equalish( X, 'e_1' ), ~( product( 'e_2', X, 'e_3' ) ),
% 0.72/1.13 product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.72/1.13 , clause( 28, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.72/1.13 , Z ) ) ] )
% 0.72/1.13 , 2, clause( 52, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1',
% 0.72/1.13 'e_2' ), product( 'e_2', 'e_1', 'e_3' ) ] )
% 0.72/1.13 , 2, substitution( 0, [ :=( X, 'e_2' ), :=( Y, X ), :=( Z, 'e_3' ), :=( T,
% 0.72/1.13 'e_1' )] ), substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 57, [ product( 'e_2', 'e_1', 'e_1' ), equalish( X, 'e_1' ), product(
% 0.72/1.13 'e_2', 'e_1', 'e_2' ), ~( product( 'e_2', X, 'e_3' ) ) ] )
% 0.72/1.13 , clause( 280, [ equalish( X, 'e_1' ), ~( product( 'e_2', X, 'e_3' ) ),
% 0.72/1.13 product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.72/1.13 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 281, [ product( 'e_4', 'e_3', 'e_4' ), product( 'e_4', 'e_3', 'e_1'
% 0.72/1.13 ), product( 'e_4', 'e_3', 'e_2' ), product( 'e_4', 'e_3', 'e_3' ) ] )
% 0.72/1.13 , clause( 43, [ product( X, 'e_3', 'e_4' ), product( X, 'e_3', 'e_1' ),
% 0.72/1.13 product( X, 'e_3', 'e_2' ), product( X, 'e_3', 'e_3' ), ~(
% 0.72/1.13 'group_element'( X ) ) ] )
% 0.72/1.13 , 4, clause( 13, [ 'group_element'( 'e_4' ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, 'e_4' )] ), substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 76, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3', 'e_2'
% 0.72/1.13 ), product( 'e_4', 'e_3', 'e_3' ), product( 'e_4', 'e_3', 'e_4' ) ] )
% 0.72/1.13 , clause( 281, [ product( 'e_4', 'e_3', 'e_4' ), product( 'e_4', 'e_3',
% 0.72/1.13 'e_1' ), product( 'e_4', 'e_3', 'e_2' ), product( 'e_4', 'e_3', 'e_3' ) ]
% 0.72/1.13 )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.72/1.13 , 1 ), ==>( 3, 2 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 282, [ equalish( 'e_3', 'e_4' ), product( 'e_4', 'e_3', 'e_1' ),
% 0.72/1.13 product( 'e_4', 'e_3', 'e_2' ), product( 'e_4', 'e_3', 'e_3' ) ] )
% 0.72/1.13 , clause( 49, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.72/1.13 , 1, clause( 76, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3',
% 0.72/1.13 'e_2' ), product( 'e_4', 'e_3', 'e_3' ), product( 'e_4', 'e_3', 'e_4' ) ]
% 0.72/1.13 )
% 0.72/1.13 , 3, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_4' )] ), substitution( 1
% 0.72/1.13 , [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 283, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3', 'e_2'
% 0.72/1.13 ), product( 'e_4', 'e_3', 'e_3' ) ] )
% 0.72/1.13 , clause( 22, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.72/1.13 , 0, clause( 282, [ equalish( 'e_3', 'e_4' ), product( 'e_4', 'e_3', 'e_1'
% 0.72/1.13 ), product( 'e_4', 'e_3', 'e_2' ), product( 'e_4', 'e_3', 'e_3' ) ] )
% 0.72/1.13 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 87, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3', 'e_2'
% 0.72/1.13 ), product( 'e_4', 'e_3', 'e_3' ) ] )
% 0.72/1.13 , clause( 283, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3',
% 0.72/1.13 'e_2' ), product( 'e_4', 'e_3', 'e_3' ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.72/1.13 , 2 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 284, [ equalish( 'e_4', 'e_3' ), product( 'e_4', 'e_3', 'e_1' ),
% 0.72/1.13 product( 'e_4', 'e_3', 'e_2' ) ] )
% 0.72/1.13 , clause( 50, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.72/1.13 , 1, clause( 87, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3',
% 0.72/1.13 'e_2' ), product( 'e_4', 'e_3', 'e_3' ) ] )
% 0.72/1.13 , 2, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_3' )] ), substitution( 1
% 0.72/1.13 , [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 285, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3', 'e_2'
% 0.72/1.13 ) ] )
% 0.72/1.13 , clause( 25, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.72/1.13 , 0, clause( 284, [ equalish( 'e_4', 'e_3' ), product( 'e_4', 'e_3', 'e_1'
% 0.72/1.13 ), product( 'e_4', 'e_3', 'e_2' ) ] )
% 0.72/1.13 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 90, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3', 'e_2'
% 0.72/1.13 ) ] )
% 0.72/1.13 , clause( 285, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3',
% 0.72/1.13 'e_2' ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.13 ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 286, [ product( 'e_1', 'e_4', 'e_4' ), product( 'e_1', 'e_4', 'e_1'
% 0.72/1.13 ), product( 'e_1', 'e_4', 'e_2' ), product( 'e_1', 'e_4', 'e_3' ) ] )
% 0.72/1.13 , clause( 44, [ product( X, 'e_4', 'e_4' ), product( X, 'e_4', 'e_1' ),
% 0.72/1.13 product( X, 'e_4', 'e_2' ), product( X, 'e_4', 'e_3' ), ~(
% 0.72/1.13 'group_element'( X ) ) ] )
% 0.72/1.13 , 4, clause( 10, [ 'group_element'( 'e_1' ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 91, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_2'
% 0.72/1.13 ), product( 'e_1', 'e_4', 'e_3' ), product( 'e_1', 'e_4', 'e_4' ) ] )
% 0.72/1.13 , clause( 286, [ product( 'e_1', 'e_4', 'e_4' ), product( 'e_1', 'e_4',
% 0.72/1.13 'e_1' ), product( 'e_1', 'e_4', 'e_2' ), product( 'e_1', 'e_4', 'e_3' ) ]
% 0.72/1.13 )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.72/1.13 , 1 ), ==>( 3, 2 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 287, [ product( 'e_2', 'e_4', 'e_4' ), product( 'e_2', 'e_4', 'e_1'
% 0.72/1.13 ), product( 'e_2', 'e_4', 'e_2' ), product( 'e_2', 'e_4', 'e_3' ) ] )
% 0.72/1.13 , clause( 44, [ product( X, 'e_4', 'e_4' ), product( X, 'e_4', 'e_1' ),
% 0.72/1.13 product( X, 'e_4', 'e_2' ), product( X, 'e_4', 'e_3' ), ~(
% 0.72/1.13 'group_element'( X ) ) ] )
% 0.72/1.13 , 4, clause( 11, [ 'group_element'( 'e_2' ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 92, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_2'
% 0.72/1.13 ), product( 'e_2', 'e_4', 'e_3' ), product( 'e_2', 'e_4', 'e_4' ) ] )
% 0.72/1.13 , clause( 287, [ product( 'e_2', 'e_4', 'e_4' ), product( 'e_2', 'e_4',
% 0.72/1.13 'e_1' ), product( 'e_2', 'e_4', 'e_2' ), product( 'e_2', 'e_4', 'e_3' ) ]
% 0.72/1.13 )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.72/1.13 , 1 ), ==>( 3, 2 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 288, [ product( 'e_3', 'e_4', 'e_4' ), product( 'e_3', 'e_4', 'e_1'
% 0.72/1.13 ), product( 'e_3', 'e_4', 'e_2' ), product( 'e_3', 'e_4', 'e_3' ) ] )
% 0.72/1.13 , clause( 44, [ product( X, 'e_4', 'e_4' ), product( X, 'e_4', 'e_1' ),
% 0.72/1.13 product( X, 'e_4', 'e_2' ), product( X, 'e_4', 'e_3' ), ~(
% 0.72/1.13 'group_element'( X ) ) ] )
% 0.72/1.13 , 4, clause( 12, [ 'group_element'( 'e_3' ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 93, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4', 'e_2'
% 0.72/1.13 ), product( 'e_3', 'e_4', 'e_3' ), product( 'e_3', 'e_4', 'e_4' ) ] )
% 0.72/1.13 , clause( 288, [ product( 'e_3', 'e_4', 'e_4' ), product( 'e_3', 'e_4',
% 0.72/1.13 'e_1' ), product( 'e_3', 'e_4', 'e_2' ), product( 'e_3', 'e_4', 'e_3' ) ]
% 0.72/1.13 )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.72/1.13 , 1 ), ==>( 3, 2 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 292, [ ~( product( 'e_3', 'e_4', X ) ), product( X, 'e_2', 'e_4' )
% 0.72/1.13 , product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.13 , clause( 31, [ ~( product( X, Y, Z ) ), product( Z, T, Y ), ~( product( Y
% 0.72/1.13 , X, T ) ) ] )
% 0.72/1.13 , 2, clause( 90, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3',
% 0.72/1.13 'e_2' ) ] )
% 0.72/1.13 , 1, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_4' ), :=( Z, X ), :=( T,
% 0.72/1.13 'e_2' )] ), substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 94, [ product( 'e_4', 'e_3', 'e_1' ), product( X, 'e_2', 'e_4' ),
% 0.72/1.13 ~( product( 'e_3', 'e_4', X ) ) ] )
% 0.72/1.13 , clause( 292, [ ~( product( 'e_3', 'e_4', X ) ), product( X, 'e_2', 'e_4'
% 0.72/1.13 ), product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.72/1.13 1 ), ==>( 2, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 293, [ equalish( 'e_1', 'e_4' ), product( 'e_1', 'e_4', 'e_1' ),
% 0.72/1.13 product( 'e_1', 'e_4', 'e_2' ), product( 'e_1', 'e_4', 'e_3' ) ] )
% 0.72/1.13 , clause( 50, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.72/1.13 , 1, clause( 91, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4',
% 0.72/1.13 'e_2' ), product( 'e_1', 'e_4', 'e_3' ), product( 'e_1', 'e_4', 'e_4' ) ]
% 0.72/1.13 )
% 0.72/1.13 , 3, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_4' )] ), substitution( 1
% 0.72/1.13 , [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 294, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_2'
% 0.72/1.13 ), product( 'e_1', 'e_4', 'e_3' ) ] )
% 0.72/1.13 , clause( 16, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.72/1.13 , 0, clause( 293, [ equalish( 'e_1', 'e_4' ), product( 'e_1', 'e_4', 'e_1'
% 0.72/1.13 ), product( 'e_1', 'e_4', 'e_2' ), product( 'e_1', 'e_4', 'e_3' ) ] )
% 0.72/1.13 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 99, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_2'
% 0.72/1.13 ), product( 'e_1', 'e_4', 'e_3' ) ] )
% 0.72/1.13 , clause( 294, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4',
% 0.72/1.13 'e_2' ), product( 'e_1', 'e_4', 'e_3' ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.72/1.13 , 2 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 300, [ equalish( X, 'e_1' ), ~( product( X, 'e_4', 'e_3' ) ),
% 0.72/1.13 product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_2' ) ] )
% 0.72/1.13 , clause( 29, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.72/1.13 , Z ) ) ] )
% 0.72/1.13 , 2, clause( 99, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4',
% 0.72/1.13 'e_2' ), product( 'e_1', 'e_4', 'e_3' ) ] )
% 0.72/1.13 , 2, substitution( 0, [ :=( X, X ), :=( Y, 'e_4' ), :=( Z, 'e_3' ), :=( T,
% 0.72/1.13 'e_1' )] ), substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 101, [ product( 'e_1', 'e_4', 'e_1' ), equalish( X, 'e_1' ),
% 0.72/1.13 product( 'e_1', 'e_4', 'e_2' ), ~( product( X, 'e_4', 'e_3' ) ) ] )
% 0.72/1.13 , clause( 300, [ equalish( X, 'e_1' ), ~( product( X, 'e_4', 'e_3' ) ),
% 0.72/1.13 product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_2' ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.72/1.13 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 301, [ equalish( 'e_2', 'e_4' ), product( 'e_2', 'e_4', 'e_1' ),
% 0.72/1.13 product( 'e_2', 'e_4', 'e_2' ), product( 'e_2', 'e_4', 'e_3' ) ] )
% 0.72/1.13 , clause( 50, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.72/1.13 , 1, clause( 92, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4',
% 0.72/1.13 'e_2' ), product( 'e_2', 'e_4', 'e_3' ), product( 'e_2', 'e_4', 'e_4' ) ]
% 0.72/1.13 )
% 0.72/1.13 , 3, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_4' )] ), substitution( 1
% 0.72/1.13 , [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 302, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_2'
% 0.72/1.13 ), product( 'e_2', 'e_4', 'e_3' ) ] )
% 0.72/1.13 , clause( 19, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 0.72/1.13 , 0, clause( 301, [ equalish( 'e_2', 'e_4' ), product( 'e_2', 'e_4', 'e_1'
% 0.72/1.13 ), product( 'e_2', 'e_4', 'e_2' ), product( 'e_2', 'e_4', 'e_3' ) ] )
% 0.72/1.13 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 106, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_2'
% 0.72/1.13 ), product( 'e_2', 'e_4', 'e_3' ) ] )
% 0.72/1.13 , clause( 302, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4',
% 0.72/1.13 'e_2' ), product( 'e_2', 'e_4', 'e_3' ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.72/1.13 , 2 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 303, [ product( 'e_1', 'e_4', 'e_1' ), equalish( 'e_2', 'e_1' ),
% 0.72/1.13 product( 'e_1', 'e_4', 'e_2' ), product( 'e_2', 'e_4', 'e_1' ), product(
% 0.72/1.13 'e_2', 'e_4', 'e_2' ) ] )
% 0.72/1.13 , clause( 101, [ product( 'e_1', 'e_4', 'e_1' ), equalish( X, 'e_1' ),
% 0.72/1.13 product( 'e_1', 'e_4', 'e_2' ), ~( product( X, 'e_4', 'e_3' ) ) ] )
% 0.72/1.13 , 3, clause( 106, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4',
% 0.72/1.13 'e_2' ), product( 'e_2', 'e_4', 'e_3' ) ] )
% 0.72/1.13 , 2, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 304, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_2'
% 0.72/1.13 ), product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_2' ) ] )
% 0.72/1.13 , clause( 17, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.72/1.13 , 0, clause( 303, [ product( 'e_1', 'e_4', 'e_1' ), equalish( 'e_2', 'e_1'
% 0.72/1.13 ), product( 'e_1', 'e_4', 'e_2' ), product( 'e_2', 'e_4', 'e_1' ),
% 0.72/1.13 product( 'e_2', 'e_4', 'e_2' ) ] )
% 0.72/1.13 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 107, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_1'
% 0.72/1.13 ), product( 'e_1', 'e_4', 'e_2' ), product( 'e_2', 'e_4', 'e_2' ) ] )
% 0.72/1.13 , clause( 304, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4',
% 0.72/1.13 'e_2' ), product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_2' ) ]
% 0.72/1.13 )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2
% 0.72/1.13 , 0 ), ==>( 3, 3 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 305, [ product( 'e_2', 'e_1', 'e_1' ), equalish( 'e_4', 'e_1' ),
% 0.72/1.13 product( 'e_2', 'e_1', 'e_2' ), product( 'e_2', 'e_4', 'e_1' ), product(
% 0.72/1.13 'e_2', 'e_4', 'e_2' ) ] )
% 0.72/1.13 , clause( 57, [ product( 'e_2', 'e_1', 'e_1' ), equalish( X, 'e_1' ),
% 0.72/1.13 product( 'e_2', 'e_1', 'e_2' ), ~( product( 'e_2', X, 'e_3' ) ) ] )
% 0.72/1.13 , 3, clause( 106, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4',
% 0.72/1.13 'e_2' ), product( 'e_2', 'e_4', 'e_3' ) ] )
% 0.72/1.13 , 2, substitution( 0, [ :=( X, 'e_4' )] ), substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 306, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2'
% 0.72/1.13 ), product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_2' ) ] )
% 0.72/1.13 , clause( 23, [ ~( equalish( 'e_4', 'e_1' ) ) ] )
% 0.72/1.13 , 0, clause( 305, [ product( 'e_2', 'e_1', 'e_1' ), equalish( 'e_4', 'e_1'
% 0.72/1.13 ), product( 'e_2', 'e_1', 'e_2' ), product( 'e_2', 'e_4', 'e_1' ),
% 0.72/1.13 product( 'e_2', 'e_4', 'e_2' ) ] )
% 0.72/1.13 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 108, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_1', 'e_1'
% 0.72/1.13 ), product( 'e_2', 'e_1', 'e_2' ), product( 'e_2', 'e_4', 'e_2' ) ] )
% 0.72/1.13 , clause( 306, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1',
% 0.72/1.13 'e_2' ), product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_2' ) ]
% 0.72/1.13 )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2
% 0.72/1.13 , 0 ), ==>( 3, 3 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 308, [ equalish( 'e_4', 'e_2' ), product( 'e_2', 'e_4', 'e_1' ),
% 0.72/1.13 product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_2' ) ] )
% 0.72/1.13 , clause( 49, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.72/1.13 , 1, clause( 107, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_1', 'e_4',
% 0.72/1.13 'e_1' ), product( 'e_1', 'e_4', 'e_2' ), product( 'e_2', 'e_4', 'e_2' ) ]
% 0.72/1.13 )
% 0.72/1.13 , 3, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_2' )] ), substitution( 1
% 0.72/1.13 , [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 309, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_1'
% 0.72/1.13 ), product( 'e_1', 'e_4', 'e_2' ) ] )
% 0.72/1.13 , clause( 24, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.72/1.13 , 0, clause( 308, [ equalish( 'e_4', 'e_2' ), product( 'e_2', 'e_4', 'e_1'
% 0.72/1.13 ), product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_2' ) ] )
% 0.72/1.13 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 115, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_1'
% 0.72/1.13 ), product( 'e_1', 'e_4', 'e_2' ) ] )
% 0.72/1.13 , clause( 309, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_1', 'e_4',
% 0.72/1.13 'e_1' ), product( 'e_1', 'e_4', 'e_2' ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.72/1.13 , 2 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 315, [ equalish( X, 'e_1' ), ~( product( X, 'e_4', 'e_2' ) ),
% 0.72/1.13 product( 'e_1', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_1' ) ] )
% 0.72/1.13 , clause( 29, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.72/1.13 , Z ) ) ] )
% 0.72/1.13 , 2, clause( 115, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_2', 'e_4',
% 0.72/1.13 'e_1' ), product( 'e_1', 'e_4', 'e_2' ) ] )
% 0.72/1.13 , 2, substitution( 0, [ :=( X, X ), :=( Y, 'e_4' ), :=( Z, 'e_2' ), :=( T,
% 0.72/1.13 'e_1' )] ), substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 117, [ product( 'e_1', 'e_4', 'e_1' ), equalish( X, 'e_1' ),
% 0.72/1.13 product( 'e_2', 'e_4', 'e_1' ), ~( product( X, 'e_4', 'e_2' ) ) ] )
% 0.72/1.13 , clause( 315, [ equalish( X, 'e_1' ), ~( product( X, 'e_4', 'e_2' ) ),
% 0.72/1.13 product( 'e_1', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_1' ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.72/1.13 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 316, [ product( 'e_1', 'e_4', 'e_1' ), equalish( 'e_2', 'e_1' ),
% 0.72/1.13 product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_1' ), product(
% 0.72/1.13 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.72/1.13 , clause( 117, [ product( 'e_1', 'e_4', 'e_1' ), equalish( X, 'e_1' ),
% 0.72/1.13 product( 'e_2', 'e_4', 'e_1' ), ~( product( X, 'e_4', 'e_2' ) ) ] )
% 0.72/1.13 , 3, clause( 108, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_1',
% 0.72/1.13 'e_1' ), product( 'e_2', 'e_1', 'e_2' ), product( 'e_2', 'e_4', 'e_2' ) ]
% 0.72/1.13 )
% 0.72/1.13 , 3, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 318, [ equalish( 'e_2', 'e_1' ), product( 'e_1', 'e_4', 'e_1' ),
% 0.72/1.13 equalish( 'e_2', 'e_1' ), product( 'e_2', 'e_4', 'e_1' ), product( 'e_2'
% 0.72/1.13 , 'e_4', 'e_1' ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.72/1.13 , clause( 50, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.72/1.13 , 1, clause( 316, [ product( 'e_1', 'e_4', 'e_1' ), equalish( 'e_2', 'e_1'
% 0.72/1.13 ), product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_1' ),
% 0.72/1.13 product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.72/1.13 , 4, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_1' )] ), substitution( 1
% 0.72/1.13 , [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 factor(
% 0.72/1.13 clause( 320, [ equalish( 'e_2', 'e_1' ), product( 'e_1', 'e_4', 'e_1' ),
% 0.72/1.13 equalish( 'e_2', 'e_1' ), product( 'e_2', 'e_4', 'e_1' ), product( 'e_2'
% 0.72/1.13 , 'e_1', 'e_2' ) ] )
% 0.72/1.13 , clause( 318, [ equalish( 'e_2', 'e_1' ), product( 'e_1', 'e_4', 'e_1' ),
% 0.72/1.13 equalish( 'e_2', 'e_1' ), product( 'e_2', 'e_4', 'e_1' ), product( 'e_2'
% 0.72/1.13 , 'e_4', 'e_1' ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.72/1.13 , 3, 4, substitution( 0, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 factor(
% 0.72/1.13 clause( 321, [ equalish( 'e_2', 'e_1' ), product( 'e_1', 'e_4', 'e_1' ),
% 0.72/1.13 product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.72/1.13 , clause( 320, [ equalish( 'e_2', 'e_1' ), product( 'e_1', 'e_4', 'e_1' ),
% 0.72/1.13 equalish( 'e_2', 'e_1' ), product( 'e_2', 'e_4', 'e_1' ), product( 'e_2'
% 0.72/1.13 , 'e_1', 'e_2' ) ] )
% 0.72/1.13 , 0, 2, substitution( 0, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 120, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_1'
% 0.72/1.13 ), equalish( 'e_2', 'e_1' ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.72/1.13 , clause( 321, [ equalish( 'e_2', 'e_1' ), product( 'e_1', 'e_4', 'e_1' ),
% 0.72/1.13 product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 1 ), ==>( 2
% 0.72/1.13 , 0 ), ==>( 3, 3 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 322, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_1'
% 0.72/1.13 ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.72/1.13 , clause( 17, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.72/1.13 , 0, clause( 120, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_1', 'e_4',
% 0.72/1.13 'e_1' ), equalish( 'e_2', 'e_1' ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.72/1.13 , 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 131, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_1'
% 0.72/1.13 ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.72/1.13 , clause( 322, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_1', 'e_4',
% 0.72/1.13 'e_1' ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.72/1.13 , 2 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 324, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_4', 'e_1' ),
% 0.72/1.13 product( 'e_2', 'e_4', 'e_1' ) ] )
% 0.72/1.13 , clause( 49, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.72/1.13 , 1, clause( 131, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_2', 'e_4',
% 0.72/1.13 'e_1' ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.72/1.13 , 2, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_2' )] ), substitution( 1
% 0.72/1.13 , [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 325, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_1'
% 0.72/1.13 ) ] )
% 0.72/1.13 , clause( 14, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.72/1.13 , 0, clause( 324, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_4', 'e_1'
% 0.72/1.13 ), product( 'e_2', 'e_4', 'e_1' ) ] )
% 0.72/1.13 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 134, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_1'
% 0.72/1.13 ) ] )
% 0.72/1.13 , clause( 325, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_2', 'e_4',
% 0.72/1.13 'e_1' ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.13 ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 329, [ equalish( X, 'e_2' ), ~( product( X, 'e_4', 'e_1' ) ),
% 0.72/1.13 product( 'e_1', 'e_4', 'e_1' ) ] )
% 0.72/1.13 , clause( 29, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.72/1.13 , Z ) ) ] )
% 0.72/1.13 , 2, clause( 134, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_2', 'e_4',
% 0.72/1.13 'e_1' ) ] )
% 0.72/1.13 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'e_4' ), :=( Z, 'e_1' ), :=( T,
% 0.72/1.13 'e_2' )] ), substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 136, [ equalish( X, 'e_2' ), product( 'e_1', 'e_4', 'e_1' ), ~(
% 0.72/1.13 product( X, 'e_4', 'e_1' ) ) ] )
% 0.72/1.13 , clause( 329, [ equalish( X, 'e_2' ), ~( product( X, 'e_4', 'e_1' ) ),
% 0.72/1.13 product( 'e_1', 'e_4', 'e_1' ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.72/1.13 2 ), ==>( 2, 1 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 330, [ equalish( 'e_3', 'e_4' ), product( 'e_3', 'e_4', 'e_1' ),
% 0.72/1.13 product( 'e_3', 'e_4', 'e_2' ), product( 'e_3', 'e_4', 'e_3' ) ] )
% 0.72/1.13 , clause( 50, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.72/1.13 , 1, clause( 93, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4',
% 0.72/1.13 'e_2' ), product( 'e_3', 'e_4', 'e_3' ), product( 'e_3', 'e_4', 'e_4' ) ]
% 0.72/1.13 )
% 0.72/1.13 , 3, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_4' )] ), substitution( 1
% 0.72/1.13 , [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 331, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4', 'e_2'
% 0.72/1.13 ), product( 'e_3', 'e_4', 'e_3' ) ] )
% 0.72/1.13 , clause( 22, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.72/1.13 , 0, clause( 330, [ equalish( 'e_3', 'e_4' ), product( 'e_3', 'e_4', 'e_1'
% 0.72/1.13 ), product( 'e_3', 'e_4', 'e_2' ), product( 'e_3', 'e_4', 'e_3' ) ] )
% 0.72/1.13 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 152, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4', 'e_2'
% 0.72/1.13 ), product( 'e_3', 'e_4', 'e_3' ) ] )
% 0.72/1.13 , clause( 331, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4',
% 0.72/1.13 'e_2' ), product( 'e_3', 'e_4', 'e_3' ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.72/1.13 , 2 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 332, [ equalish( 'e_4', 'e_3' ), product( 'e_3', 'e_4', 'e_1' ),
% 0.72/1.13 product( 'e_3', 'e_4', 'e_2' ) ] )
% 0.72/1.13 , clause( 49, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.72/1.13 , 1, clause( 152, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4',
% 0.72/1.13 'e_2' ), product( 'e_3', 'e_4', 'e_3' ) ] )
% 0.72/1.13 , 2, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_3' )] ), substitution( 1
% 0.72/1.13 , [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 333, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4', 'e_2'
% 0.72/1.13 ) ] )
% 0.72/1.13 , clause( 25, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.72/1.13 , 0, clause( 332, [ equalish( 'e_4', 'e_3' ), product( 'e_3', 'e_4', 'e_1'
% 0.72/1.13 ), product( 'e_3', 'e_4', 'e_2' ) ] )
% 0.72/1.13 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 158, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4', 'e_2'
% 0.72/1.13 ) ] )
% 0.72/1.13 , clause( 333, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4',
% 0.72/1.13 'e_2' ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.13 ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 335, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_2', 'e_2', 'e_4'
% 0.72/1.13 ), product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.72/1.13 , clause( 94, [ product( 'e_4', 'e_3', 'e_1' ), product( X, 'e_2', 'e_4' )
% 0.72/1.13 , ~( product( 'e_3', 'e_4', X ) ) ] )
% 0.72/1.13 , 2, clause( 158, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4',
% 0.72/1.13 'e_2' ) ] )
% 0.72/1.13 , 1, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 159, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_3', 'e_4', 'e_1'
% 0.72/1.13 ), product( 'e_2', 'e_2', 'e_4' ) ] )
% 0.72/1.13 , clause( 335, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_2', 'e_2',
% 0.72/1.13 'e_4' ), product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2
% 0.72/1.13 , 1 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 336, [ equalish( 'e_4', 'e_2' ), product( 'e_4', 'e_3', 'e_1' ),
% 0.72/1.13 product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.72/1.13 , clause( 46, [ equalish( X, Y ), ~( product( Y, Y, X ) ) ] )
% 0.72/1.13 , 1, clause( 159, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_3', 'e_4',
% 0.72/1.13 'e_1' ), product( 'e_2', 'e_2', 'e_4' ) ] )
% 0.72/1.13 , 2, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_2' )] ), substitution( 1
% 0.72/1.13 , [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 337, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_3', 'e_4', 'e_1'
% 0.72/1.13 ) ] )
% 0.72/1.13 , clause( 24, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.72/1.13 , 0, clause( 336, [ equalish( 'e_4', 'e_2' ), product( 'e_4', 'e_3', 'e_1'
% 0.72/1.13 ), product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.72/1.13 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 180, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_3', 'e_4', 'e_1'
% 0.72/1.13 ) ] )
% 0.72/1.13 , clause( 337, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_3', 'e_4',
% 0.72/1.13 'e_1' ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.13 ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 338, [ equalish( 'e_3', 'e_2' ), product( 'e_1', 'e_4', 'e_1' ),
% 0.72/1.13 product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.13 , clause( 136, [ equalish( X, 'e_2' ), product( 'e_1', 'e_4', 'e_1' ), ~(
% 0.72/1.13 product( X, 'e_4', 'e_1' ) ) ] )
% 0.72/1.13 , 2, clause( 180, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_3', 'e_4',
% 0.72/1.13 'e_1' ) ] )
% 0.72/1.13 , 1, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 339, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_4', 'e_3', 'e_1'
% 0.72/1.13 ) ] )
% 0.72/1.13 , clause( 21, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.72/1.13 , 0, clause( 338, [ equalish( 'e_3', 'e_2' ), product( 'e_1', 'e_4', 'e_1'
% 0.72/1.13 ), product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.13 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 186, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_1', 'e_4', 'e_1'
% 0.72/1.13 ) ] )
% 0.72/1.13 , clause( 339, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_4', 'e_3',
% 0.72/1.13 'e_1' ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.72/1.13 ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 340, [ equalish( 'e_4', 'e_1' ), product( 'e_4', 'e_3', 'e_1' ) ]
% 0.72/1.13 )
% 0.72/1.13 , clause( 49, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.72/1.13 , 1, clause( 186, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_1', 'e_4',
% 0.72/1.13 'e_1' ) ] )
% 0.72/1.13 , 1, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_1' )] ), substitution( 1
% 0.72/1.13 , [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 341, [ product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.13 , clause( 23, [ ~( equalish( 'e_4', 'e_1' ) ) ] )
% 0.72/1.13 , 0, clause( 340, [ equalish( 'e_4', 'e_1' ), product( 'e_4', 'e_3', 'e_1'
% 0.72/1.13 ) ] )
% 0.72/1.13 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 196, [ product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.13 , clause( 341, [ product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 343, [ ~( product( 'e_3', 'e_4', X ) ), product( X, 'e_1', 'e_4' )
% 0.72/1.13 ] )
% 0.72/1.13 , clause( 31, [ ~( product( X, Y, Z ) ), product( Z, T, Y ), ~( product( Y
% 0.72/1.13 , X, T ) ) ] )
% 0.72/1.13 , 2, clause( 196, [ product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_4' ), :=( Z, X ), :=( T,
% 0.72/1.13 'e_1' )] ), substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 197, [ product( X, 'e_1', 'e_4' ), ~( product( 'e_3', 'e_4', X ) )
% 0.72/1.13 ] )
% 0.72/1.13 , clause( 343, [ ~( product( 'e_3', 'e_4', X ) ), product( X, 'e_1', 'e_4'
% 0.72/1.13 ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.72/1.13 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 345, [ product( 'e_2', 'e_1', 'e_4' ), product( 'e_3', 'e_4', 'e_1'
% 0.72/1.13 ) ] )
% 0.72/1.13 , clause( 197, [ product( X, 'e_1', 'e_4' ), ~( product( 'e_3', 'e_4', X )
% 0.72/1.13 ) ] )
% 0.72/1.13 , 1, clause( 158, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4',
% 0.72/1.13 'e_2' ) ] )
% 0.72/1.13 , 1, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 346, [ product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.72/1.13 , clause( 45, [ ~( product( 'e_2', 'e_1', 'e_4' ) ) ] )
% 0.72/1.13 , 0, clause( 345, [ product( 'e_2', 'e_1', 'e_4' ), product( 'e_3', 'e_4',
% 0.72/1.13 'e_1' ) ] )
% 0.72/1.13 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 203, [ product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.72/1.13 , clause( 346, [ product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 347, [ product( 'e_1', 'e_1', 'e_4' ) ] )
% 0.72/1.13 , clause( 197, [ product( X, 'e_1', 'e_4' ), ~( product( 'e_3', 'e_4', X )
% 0.72/1.13 ) ] )
% 0.72/1.13 , 1, clause( 203, [ product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 348, [] )
% 0.72/1.13 , clause( 48, [ ~( product( 'e_1', 'e_1', 'e_4' ) ) ] )
% 0.72/1.13 , 0, clause( 347, [ product( 'e_1', 'e_1', 'e_4' ) ] )
% 0.72/1.13 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 204, [] )
% 0.72/1.13 , clause( 348, [] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 end.
% 0.72/1.13
% 0.72/1.13 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.13
% 0.72/1.13 Memory use:
% 0.72/1.13
% 0.72/1.13 space for terms: 3310
% 0.72/1.13 space for clauses: 9593
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 clauses generated: 372
% 0.72/1.13 clauses kept: 205
% 0.72/1.13 clauses selected: 124
% 0.72/1.13 clauses deleted: 9
% 0.72/1.13 clauses inuse deleted: 0
% 0.72/1.13
% 0.72/1.13 subsentry: 939
% 0.72/1.13 literals s-matched: 602
% 0.72/1.13 literals matched: 488
% 0.72/1.13 full subsumption: 111
% 0.72/1.13
% 0.72/1.13 checksum: -970360583
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Bliksem ended
%------------------------------------------------------------------------------