TSTP Solution File: GRP127-1.004 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP127-1.004 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.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 07:35:14 EDT 2022
% Result : Unsatisfiable 0.72s 1.08s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP127-1.004 : TPTP v8.1.0. Released v1.2.0.
% 0.06/0.13 % Command : bliksem %s
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Mon Jun 13 05:02:09 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.72/1.08 *** allocated 10000 integers for termspace/termends
% 0.72/1.08 *** allocated 10000 integers for clauses
% 0.72/1.08 *** allocated 10000 integers for justifications
% 0.72/1.08 Bliksem 1.12
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Automatic Strategy Selection
% 0.72/1.08
% 0.72/1.08 Clauses:
% 0.72/1.08 [
% 0.72/1.08 [ 'group_element'( 'e_1' ) ],
% 0.72/1.08 [ 'group_element'( 'e_2' ) ],
% 0.72/1.08 [ 'group_element'( 'e_3' ) ],
% 0.72/1.08 [ 'group_element'( 'e_4' ) ],
% 0.72/1.08 [ ~( equalish( 'e_1', 'e_2' ) ) ],
% 0.72/1.08 [ ~( equalish( 'e_1', 'e_3' ) ) ],
% 0.72/1.08 [ ~( equalish( 'e_1', 'e_4' ) ) ],
% 0.72/1.08 [ ~( equalish( 'e_2', 'e_1' ) ) ],
% 0.72/1.08 [ ~( equalish( 'e_2', 'e_3' ) ) ],
% 0.72/1.08 [ ~( equalish( 'e_2', 'e_4' ) ) ],
% 0.72/1.08 [ ~( equalish( 'e_3', 'e_1' ) ) ],
% 0.72/1.08 [ ~( equalish( 'e_3', 'e_2' ) ) ],
% 0.72/1.08 [ ~( equalish( 'e_3', 'e_4' ) ) ],
% 0.72/1.08 [ ~( equalish( 'e_4', 'e_1' ) ) ],
% 0.72/1.08 [ ~( equalish( 'e_4', 'e_2' ) ) ],
% 0.72/1.08 [ ~( equalish( 'e_4', 'e_3' ) ) ],
% 0.72/1.08 [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ), product( X, Y,
% 0.72/1.08 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ), product( X, Y,
% 0.72/1.08 'e_4' ) ],
% 0.72/1.08 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish( Z, T ) ]
% 0.72/1.08 ,
% 0.72/1.08 [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish( Y, T ) ]
% 0.72/1.08 ,
% 0.72/1.08 [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish( X, T ) ]
% 0.72/1.08 ,
% 0.72/1.08 [ product( X, X, X ) ],
% 0.72/1.08 [ ~( product( X, Y, Z ) ), ~( product( Z, X, T ) ), product( T, X, Y ) ]
% 0.72/1.08
% 0.72/1.08 ] .
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 percentage equality = 0.000000, percentage horn = 0.954545
% 0.72/1.08 This is a near-Horn, non-equality problem
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Options Used:
% 0.72/1.08
% 0.72/1.08 useres = 1
% 0.72/1.08 useparamod = 0
% 0.72/1.08 useeqrefl = 0
% 0.72/1.08 useeqfact = 0
% 0.72/1.08 usefactor = 1
% 0.72/1.08 usesimpsplitting = 0
% 0.72/1.08 usesimpdemod = 0
% 0.72/1.08 usesimpres = 4
% 0.72/1.08
% 0.72/1.08 resimpinuse = 1000
% 0.72/1.08 resimpclauses = 20000
% 0.72/1.08 substype = standard
% 0.72/1.08 backwardsubs = 1
% 0.72/1.08 selectoldest = 5
% 0.72/1.08
% 0.72/1.08 litorderings [0] = split
% 0.72/1.08 litorderings [1] = liftord
% 0.72/1.08
% 0.72/1.08 termordering = none
% 0.72/1.08
% 0.72/1.08 litapriori = 1
% 0.72/1.08 termapriori = 0
% 0.72/1.08 litaposteriori = 0
% 0.72/1.08 termaposteriori = 0
% 0.72/1.08 demodaposteriori = 0
% 0.72/1.08 ordereqreflfact = 0
% 0.72/1.08
% 0.72/1.08 litselect = negative
% 0.72/1.08
% 0.72/1.08 maxweight = 30000
% 0.72/1.08 maxdepth = 30000
% 0.72/1.08 maxlength = 115
% 0.72/1.08 maxnrvars = 195
% 0.72/1.08 excuselevel = 0
% 0.72/1.08 increasemaxweight = 0
% 0.72/1.08
% 0.72/1.08 maxselected = 10000000
% 0.72/1.08 maxnrclauses = 10000000
% 0.72/1.08
% 0.72/1.08 showgenerated = 0
% 0.72/1.08 showkept = 0
% 0.72/1.08 showselected = 0
% 0.72/1.08 showdeleted = 0
% 0.72/1.08 showresimp = 1
% 0.72/1.08 showstatus = 2000
% 0.72/1.08
% 0.72/1.08 prologoutput = 1
% 0.72/1.08 nrgoals = 5000000
% 0.72/1.08 totalproof = 1
% 0.72/1.08
% 0.72/1.08 Symbols occurring in the translation:
% 0.72/1.08
% 0.72/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.08 . [1, 2] (w:1, o:25, a:1, s:1, b:0),
% 0.72/1.08 ! [4, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.72/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.08 'e_1' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.72/1.08 'group_element' [40, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.72/1.08 'e_2' [41, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.72/1.08 'e_3' [42, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.72/1.08 'e_4' [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.72/1.08 equalish [44, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.72/1.08 product [47, 3] (w:1, o:51, a:1, s:1, b:0).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Starting Search:
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Bliksems!, er is een bewijs:
% 0.72/1.08 % SZS status Unsatisfiable
% 0.72/1.08 % SZS output start Refutation
% 0.72/1.08
% 0.72/1.08 clause( 0, [ 'group_element'( 'e_1' ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 1, [ 'group_element'( 'e_2' ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 2, [ 'group_element'( 'e_3' ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 3, [ 'group_element'( 'e_4' ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 5, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 6, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 8, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 9, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 10, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 11, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 12, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 14, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 15, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 16, [ ~( 'group_element'( X ) ), product( X, Y, 'e_4' ), product( X
% 0.72/1.08 , Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ), ~(
% 0.72/1.08 'group_element'( Y ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 17, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y,
% 0.72/1.08 T ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 18, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T,
% 0.72/1.08 Z ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 19, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y,
% 0.72/1.08 Z ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 20, [ product( X, X, X ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 21, [ ~( product( X, Y, Z ) ), product( T, X, Y ), ~( product( Z, X
% 0.72/1.08 , T ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 27, [ product( X, 'e_1', 'e_4' ), product( X, 'e_1', 'e_1' ),
% 0.72/1.08 product( X, 'e_1', 'e_2' ), product( X, 'e_1', 'e_3' ), ~(
% 0.72/1.08 'group_element'( X ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 29, [ product( X, 'e_3', 'e_4' ), product( X, 'e_3', 'e_1' ),
% 0.72/1.08 product( X, 'e_3', 'e_2' ), product( X, 'e_3', 'e_3' ), ~(
% 0.72/1.08 'group_element'( X ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 30, [ product( X, 'e_4', 'e_4' ), product( X, 'e_4', 'e_1' ),
% 0.72/1.08 product( X, 'e_4', 'e_2' ), product( X, 'e_4', 'e_3' ), ~(
% 0.72/1.08 'group_element'( X ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 31, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 32, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 36, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.72/1.08 ), product( 'e_3', 'e_1', 'e_3' ), product( 'e_3', 'e_1', 'e_4' ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 37, [ product( 'e_4', 'e_1', 'e_1' ), product( 'e_4', 'e_1', 'e_2'
% 0.72/1.09 ), product( 'e_4', 'e_1', 'e_3' ), product( 'e_4', 'e_1', 'e_4' ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 42, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.72/1.09 ), product( 'e_3', 'e_1', 'e_3' ), product( 'e_4', 'e_1', X ), ~(
% 0.72/1.09 product( 'e_1', X, 'e_3' ) ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 45, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.72/1.09 ), equalish( X, 'e_3' ), product( 'e_3', 'e_1', 'e_3' ), ~( product( X,
% 0.72/1.09 'e_1', 'e_4' ) ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 48, [ product( 'e_4', 'e_1', 'e_1' ), product( 'e_4', 'e_1', 'e_2'
% 0.72/1.09 ), product( 'e_4', 'e_1', 'e_3' ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 58, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3', 'e_2'
% 0.72/1.09 ), product( 'e_4', 'e_3', 'e_3' ), product( 'e_4', 'e_3', 'e_4' ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 69, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3', 'e_2'
% 0.72/1.09 ), product( 'e_4', 'e_3', 'e_3' ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 74, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3', 'e_2'
% 0.72/1.09 ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 75, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_2'
% 0.72/1.09 ), product( 'e_1', 'e_4', 'e_3' ), product( 'e_1', 'e_4', 'e_4' ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 76, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_2'
% 0.72/1.09 ), product( 'e_2', 'e_4', 'e_3' ), product( 'e_2', 'e_4', 'e_4' ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 77, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4', 'e_2'
% 0.72/1.09 ), product( 'e_3', 'e_4', 'e_3' ), product( 'e_3', 'e_4', 'e_4' ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 86, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_2'
% 0.72/1.09 ), product( 'e_1', 'e_4', 'e_3' ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 96, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_2'
% 0.72/1.09 ), product( 'e_2', 'e_4', 'e_3' ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 98, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_2'
% 0.72/1.09 ), product( 'e_3', 'e_4', X ), ~( product( 'e_4', X, 'e_2' ) ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 101, [ product( 'e_2', 'e_4', 'e_1' ), equalish( X, 'e_2' ),
% 0.72/1.09 product( 'e_2', 'e_4', 'e_2' ), ~( product( X, 'e_4', 'e_3' ) ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 112, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.72/1.09 ), product( 'e_3', 'e_1', 'e_3' ), product( 'e_1', 'e_4', 'e_1' ),
% 0.72/1.09 product( 'e_1', 'e_4', 'e_2' ), product( 'e_4', 'e_1', 'e_4' ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 117, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4', 'e_2'
% 0.72/1.09 ), product( 'e_3', 'e_4', 'e_3' ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 122, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4', 'e_2'
% 0.72/1.09 ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 126, [ equalish( X, 'e_4' ), product( 'e_3', 'e_4', 'e_1' ), ~(
% 0.72/1.09 product( 'e_3', X, 'e_2' ) ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 265, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_2'
% 0.72/1.09 ), product( 'e_4', 'e_3', 'e_1' ), product( 'e_3', 'e_4', 'e_3' ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 274, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_4', 'e_3', 'e_1'
% 0.72/1.09 ), product( 'e_2', 'e_4', 'e_2' ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 280, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_2', 'e_4', 'e_1'
% 0.72/1.09 ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 281, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_1', 'e_4', X ),
% 0.72/1.09 ~( product( 'e_4', X, 'e_2' ) ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 284, [ equalish( X, 'e_2' ), product( 'e_4', 'e_3', 'e_1' ), ~(
% 0.72/1.09 product( X, 'e_4', 'e_1' ) ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 291, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_1', 'e_4', 'e_3'
% 0.72/1.09 ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 294, [ equalish( X, 'e_3' ), product( 'e_4', 'e_3', 'e_1' ), ~(
% 0.72/1.09 product( 'e_1', 'e_4', X ) ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 315, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.72/1.09 ), product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_2' ),
% 0.72/1.09 product( 'e_3', 'e_1', 'e_3' ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 320, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_1', 'e_4', 'e_1'
% 0.72/1.09 ), product( 'e_3', 'e_1', 'e_2' ), product( 'e_1', 'e_4', 'e_2' ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 321, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_1', 'e_4', 'e_1'
% 0.72/1.09 ), product( 'e_4', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 328, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_4', 'e_3', 'e_1'
% 0.72/1.09 ), product( 'e_1', 'e_4', 'e_1' ), product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 333, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_4', 'e_3', 'e_1'
% 0.72/1.09 ), product( 'e_1', 'e_4', 'e_1' ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 335, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_4', 'e_3', 'e_1'
% 0.72/1.09 ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 338, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_1', 'e_3', X ),
% 0.72/1.09 ~( product( 'e_3', X, 'e_4' ) ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 340, [ equalish( X, 'e_3' ), product( 'e_3', 'e_1', 'e_1' ), ~(
% 0.72/1.09 product( 'e_4', X, 'e_1' ) ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 341, [ equalish( X, 'e_4' ), product( 'e_3', 'e_1', 'e_1' ), ~(
% 0.72/1.09 product( X, 'e_3', 'e_1' ) ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 343, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.72/1.09 ), product( 'e_3', 'e_1', 'e_2' ), product( 'e_3', 'e_1', 'e_3' ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 347, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.72/1.09 ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 350, [ equalish( 'e_1', 'e_4' ), product( 'e_3', 'e_1', 'e_1' ),
% 0.72/1.09 product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 354, [ product( 'e_3', 'e_1', 'e_1' ), equalish( X, 'e_3' ),
% 0.72/1.09 product( 'e_1', 'e_3', 'e_1' ), ~( product( X, 'e_1', 'e_2' ) ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 355, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_4', 'e_1'
% 0.72/1.09 ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 361, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_1', 'e_4', X ),
% 0.72/1.09 ~( product( 'e_4', X, 'e_3' ) ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 364, [ equalish( X, 'e_3' ), product( 'e_3', 'e_1', 'e_1' ), ~(
% 0.72/1.09 product( X, 'e_4', 'e_1' ) ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 368, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_4', 'e_1', 'e_1'
% 0.72/1.09 ), product( 'e_1', 'e_4', 'e_1' ), product( 'e_4', 'e_1', 'e_2' ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 372, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_4', 'e_1', 'e_1'
% 0.72/1.09 ), product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_4', 'e_1' ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 377, [ product( 'e_3', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.72/1.09 product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 384, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.72/1.09 ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 387, [ equalish( 'e_3', 'e_1' ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 388, [] )
% 0.72/1.09 .
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 % SZS output end Refutation
% 0.72/1.09 found a proof!
% 0.72/1.09
% 0.72/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.09
% 0.72/1.09 initialclauses(
% 0.72/1.09 [ clause( 390, [ 'group_element'( 'e_1' ) ] )
% 0.72/1.09 , clause( 391, [ 'group_element'( 'e_2' ) ] )
% 0.72/1.09 , clause( 392, [ 'group_element'( 'e_3' ) ] )
% 0.72/1.09 , clause( 393, [ 'group_element'( 'e_4' ) ] )
% 0.72/1.09 , clause( 394, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.72/1.09 , clause( 395, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.72/1.09 , clause( 396, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.72/1.09 , clause( 397, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.72/1.09 , clause( 398, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.72/1.09 , clause( 399, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 0.72/1.09 , clause( 400, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.72/1.09 , clause( 401, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.72/1.09 , clause( 402, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.72/1.09 , clause( 403, [ ~( equalish( 'e_4', 'e_1' ) ) ] )
% 0.72/1.09 , clause( 404, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.72/1.09 , clause( 405, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.72/1.09 , clause( 406, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.72/1.09 product( X, Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ),
% 0.72/1.09 product( X, Y, 'e_4' ) ] )
% 0.72/1.09 , clause( 407, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish(
% 0.72/1.09 Z, T ) ] )
% 0.72/1.09 , clause( 408, [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish(
% 0.72/1.09 Y, T ) ] )
% 0.72/1.09 , clause( 409, [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish(
% 0.72/1.09 X, T ) ] )
% 0.72/1.09 , clause( 410, [ product( X, X, X ) ] )
% 0.72/1.09 , clause( 411, [ ~( product( X, Y, Z ) ), ~( product( Z, X, T ) ), product(
% 0.72/1.09 T, X, Y ) ] )
% 0.72/1.09 ] ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 0, [ 'group_element'( 'e_1' ) ] )
% 0.72/1.09 , clause( 390, [ 'group_element'( 'e_1' ) ] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 1, [ 'group_element'( 'e_2' ) ] )
% 0.72/1.09 , clause( 391, [ 'group_element'( 'e_2' ) ] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 2, [ 'group_element'( 'e_3' ) ] )
% 0.72/1.09 , clause( 392, [ 'group_element'( 'e_3' ) ] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 3, [ 'group_element'( 'e_4' ) ] )
% 0.72/1.09 , clause( 393, [ 'group_element'( 'e_4' ) ] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 5, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.72/1.09 , clause( 395, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 6, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.72/1.09 , clause( 396, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 8, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.72/1.09 , clause( 398, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 9, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 0.72/1.09 , clause( 399, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 10, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.72/1.09 , clause( 400, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 11, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.72/1.09 , clause( 401, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 12, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.72/1.09 , clause( 402, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 14, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.72/1.09 , clause( 404, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 15, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.72/1.09 , clause( 405, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 16, [ ~( 'group_element'( X ) ), product( X, Y, 'e_4' ), product( X
% 0.72/1.09 , Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ), ~(
% 0.72/1.09 'group_element'( Y ) ) ] )
% 0.72/1.09 , clause( 406, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.72/1.09 product( X, Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ),
% 0.72/1.09 product( X, Y, 'e_4' ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.09 ), ==>( 1, 5 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 ), ==>( 5, 1 )] )
% 0.72/1.09 ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 17, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y,
% 0.72/1.09 T ) ) ] )
% 0.72/1.09 , clause( 407, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish(
% 0.72/1.09 Z, T ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.09 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 18, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T,
% 0.72/1.09 Z ) ) ] )
% 0.72/1.09 , clause( 408, [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish(
% 0.72/1.09 Y, T ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.09 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 19, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y,
% 0.72/1.09 Z ) ) ] )
% 0.72/1.09 , clause( 409, [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish(
% 0.72/1.09 X, T ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.09 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 20, [ product( X, X, X ) ] )
% 0.72/1.09 , clause( 410, [ product( X, X, X ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 21, [ ~( product( X, Y, Z ) ), product( T, X, Y ), ~( product( Z, X
% 0.72/1.09 , T ) ) ] )
% 0.72/1.09 , clause( 411, [ ~( product( X, Y, Z ) ), ~( product( Z, X, T ) ), product(
% 0.72/1.09 T, X, Y ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.09 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 432, [ ~( 'group_element'( X ) ), product( X, 'e_1', 'e_4' ),
% 0.72/1.09 product( X, 'e_1', 'e_1' ), product( X, 'e_1', 'e_2' ), product( X, 'e_1'
% 0.72/1.09 , 'e_3' ) ] )
% 0.72/1.09 , clause( 16, [ ~( 'group_element'( X ) ), product( X, Y, 'e_4' ), product(
% 0.72/1.09 X, Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ), ~(
% 0.72/1.09 'group_element'( Y ) ) ] )
% 0.72/1.09 , 5, clause( 0, [ 'group_element'( 'e_1' ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_1' )] ), substitution( 1, [] )
% 0.72/1.09 ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 27, [ product( X, 'e_1', 'e_4' ), product( X, 'e_1', 'e_1' ),
% 0.72/1.09 product( X, 'e_1', 'e_2' ), product( X, 'e_1', 'e_3' ), ~(
% 0.72/1.09 'group_element'( X ) ) ] )
% 0.72/1.09 , clause( 432, [ ~( 'group_element'( X ) ), product( X, 'e_1', 'e_4' ),
% 0.72/1.09 product( X, 'e_1', 'e_1' ), product( X, 'e_1', 'e_2' ), product( X, 'e_1'
% 0.72/1.09 , 'e_3' ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 4 ), ==>( 1,
% 0.72/1.09 0 ), ==>( 2, 1 ), ==>( 3, 2 ), ==>( 4, 3 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 434, [ ~( 'group_element'( X ) ), product( X, 'e_3', 'e_4' ),
% 0.72/1.09 product( X, 'e_3', 'e_1' ), product( X, 'e_3', 'e_2' ), product( X, 'e_3'
% 0.72/1.09 , 'e_3' ) ] )
% 0.72/1.09 , clause( 16, [ ~( 'group_element'( X ) ), product( X, Y, 'e_4' ), product(
% 0.72/1.09 X, Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ), ~(
% 0.72/1.09 'group_element'( Y ) ) ] )
% 0.72/1.09 , 5, clause( 2, [ 'group_element'( 'e_3' ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_3' )] ), substitution( 1, [] )
% 0.72/1.09 ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 29, [ product( X, 'e_3', 'e_4' ), product( X, 'e_3', 'e_1' ),
% 0.72/1.09 product( X, 'e_3', 'e_2' ), product( X, 'e_3', 'e_3' ), ~(
% 0.72/1.09 'group_element'( X ) ) ] )
% 0.72/1.09 , clause( 434, [ ~( 'group_element'( X ) ), product( X, 'e_3', 'e_4' ),
% 0.72/1.09 product( X, 'e_3', 'e_1' ), product( X, 'e_3', 'e_2' ), product( X, 'e_3'
% 0.72/1.09 , 'e_3' ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 4 ), ==>( 1,
% 0.72/1.09 0 ), ==>( 2, 1 ), ==>( 3, 2 ), ==>( 4, 3 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 436, [ ~( 'group_element'( X ) ), product( X, 'e_4', 'e_4' ),
% 0.72/1.09 product( X, 'e_4', 'e_1' ), product( X, 'e_4', 'e_2' ), product( X, 'e_4'
% 0.72/1.09 , 'e_3' ) ] )
% 0.72/1.09 , clause( 16, [ ~( 'group_element'( X ) ), product( X, Y, 'e_4' ), product(
% 0.72/1.09 X, Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ), ~(
% 0.72/1.09 'group_element'( Y ) ) ] )
% 0.72/1.09 , 5, clause( 3, [ 'group_element'( 'e_4' ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_4' )] ), substitution( 1, [] )
% 0.72/1.09 ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 30, [ product( X, 'e_4', 'e_4' ), product( X, 'e_4', 'e_1' ),
% 0.72/1.09 product( X, 'e_4', 'e_2' ), product( X, 'e_4', 'e_3' ), ~(
% 0.72/1.09 'group_element'( X ) ) ] )
% 0.72/1.09 , clause( 436, [ ~( 'group_element'( X ) ), product( X, 'e_4', 'e_4' ),
% 0.72/1.09 product( X, 'e_4', 'e_1' ), product( X, 'e_4', 'e_2' ), product( X, 'e_4'
% 0.72/1.09 , 'e_3' ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 4 ), ==>( 1,
% 0.72/1.09 0 ), ==>( 2, 1 ), ==>( 3, 2 ), ==>( 4, 3 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 438, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.72/1.09 , clause( 19, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.72/1.09 , Z ) ) ] )
% 0.72/1.09 , 2, clause( 20, [ product( X, X, X ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, Y )] ),
% 0.72/1.09 substitution( 1, [ :=( X, Y )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 31, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.72/1.09 , clause( 438, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.09 ), ==>( 1, 1 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 440, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.72/1.09 , clause( 18, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.72/1.09 , Z ) ) ] )
% 0.72/1.09 , 2, clause( 20, [ product( X, X, X ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Y ), :=( T, Y )] ),
% 0.72/1.09 substitution( 1, [ :=( X, Y )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 32, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.72/1.09 , clause( 440, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.09 ), ==>( 1, 1 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 441, [ product( 'e_3', 'e_1', 'e_4' ), product( 'e_3', 'e_1', 'e_1'
% 0.72/1.09 ), product( 'e_3', 'e_1', 'e_2' ), product( 'e_3', 'e_1', 'e_3' ) ] )
% 0.72/1.09 , clause( 27, [ product( X, 'e_1', 'e_4' ), product( X, 'e_1', 'e_1' ),
% 0.72/1.09 product( X, 'e_1', 'e_2' ), product( X, 'e_1', 'e_3' ), ~(
% 0.72/1.09 'group_element'( X ) ) ] )
% 0.72/1.09 , 4, clause( 2, [ 'group_element'( 'e_3' ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 36, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.72/1.09 ), product( 'e_3', 'e_1', 'e_3' ), product( 'e_3', 'e_1', 'e_4' ) ] )
% 0.72/1.09 , clause( 441, [ product( 'e_3', 'e_1', 'e_4' ), product( 'e_3', 'e_1',
% 0.72/1.09 'e_1' ), product( 'e_3', 'e_1', 'e_2' ), product( 'e_3', 'e_1', 'e_3' ) ]
% 0.72/1.09 )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.72/1.09 , 1 ), ==>( 3, 2 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 442, [ product( 'e_4', 'e_1', 'e_4' ), product( 'e_4', 'e_1', 'e_1'
% 0.72/1.09 ), product( 'e_4', 'e_1', 'e_2' ), product( 'e_4', 'e_1', 'e_3' ) ] )
% 0.72/1.09 , clause( 27, [ product( X, 'e_1', 'e_4' ), product( X, 'e_1', 'e_1' ),
% 0.72/1.09 product( X, 'e_1', 'e_2' ), product( X, 'e_1', 'e_3' ), ~(
% 0.72/1.09 'group_element'( X ) ) ] )
% 0.72/1.09 , 4, clause( 3, [ 'group_element'( 'e_4' ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, 'e_4' )] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 37, [ product( 'e_4', 'e_1', 'e_1' ), product( 'e_4', 'e_1', 'e_2'
% 0.72/1.09 ), product( 'e_4', 'e_1', 'e_3' ), product( 'e_4', 'e_1', 'e_4' ) ] )
% 0.72/1.09 , clause( 442, [ product( 'e_4', 'e_1', 'e_4' ), product( 'e_4', 'e_1',
% 0.72/1.09 'e_1' ), product( 'e_4', 'e_1', 'e_2' ), product( 'e_4', 'e_1', 'e_3' ) ]
% 0.72/1.09 )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.72/1.09 , 1 ), ==>( 3, 2 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 450, [ ~( product( 'e_1', X, 'e_3' ) ), product( 'e_4', 'e_1', X )
% 0.72/1.09 , product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ), product(
% 0.72/1.09 'e_3', 'e_1', 'e_3' ) ] )
% 0.72/1.09 , clause( 21, [ ~( product( X, Y, Z ) ), product( T, X, Y ), ~( product( Z
% 0.72/1.09 , X, T ) ) ] )
% 0.72/1.09 , 2, clause( 36, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1',
% 0.72/1.09 'e_2' ), product( 'e_3', 'e_1', 'e_3' ), product( 'e_3', 'e_1', 'e_4' ) ]
% 0.72/1.09 )
% 0.72/1.09 , 3, substitution( 0, [ :=( X, 'e_1' ), :=( Y, X ), :=( Z, 'e_3' ), :=( T,
% 0.72/1.09 'e_4' )] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 42, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.72/1.09 ), product( 'e_3', 'e_1', 'e_3' ), product( 'e_4', 'e_1', X ), ~(
% 0.72/1.09 product( 'e_1', X, 'e_3' ) ) ] )
% 0.72/1.09 , clause( 450, [ ~( product( 'e_1', X, 'e_3' ) ), product( 'e_4', 'e_1', X
% 0.72/1.09 ), product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ),
% 0.72/1.09 product( 'e_3', 'e_1', 'e_3' ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 4 ), ==>( 1,
% 0.72/1.09 3 ), ==>( 2, 0 ), ==>( 3, 1 ), ==>( 4, 2 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 461, [ equalish( X, 'e_3' ), ~( product( X, 'e_1', 'e_4' ) ),
% 0.72/1.09 product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ), product(
% 0.72/1.09 'e_3', 'e_1', 'e_3' ) ] )
% 0.72/1.09 , clause( 19, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.72/1.09 , Z ) ) ] )
% 0.72/1.09 , 2, clause( 36, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1',
% 0.72/1.09 'e_2' ), product( 'e_3', 'e_1', 'e_3' ), product( 'e_3', 'e_1', 'e_4' ) ]
% 0.72/1.09 )
% 0.72/1.09 , 3, substitution( 0, [ :=( X, X ), :=( Y, 'e_1' ), :=( Z, 'e_4' ), :=( T,
% 0.72/1.09 'e_3' )] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 45, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.72/1.09 ), equalish( X, 'e_3' ), product( 'e_3', 'e_1', 'e_3' ), ~( product( X,
% 0.72/1.09 'e_1', 'e_4' ) ) ] )
% 0.72/1.09 , clause( 461, [ equalish( X, 'e_3' ), ~( product( X, 'e_1', 'e_4' ) ),
% 0.72/1.09 product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ), product(
% 0.72/1.09 'e_3', 'e_1', 'e_3' ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.72/1.09 4 ), ==>( 2, 0 ), ==>( 3, 1 ), ==>( 4, 3 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 462, [ equalish( 'e_1', 'e_4' ), product( 'e_4', 'e_1', 'e_1' ),
% 0.72/1.09 product( 'e_4', 'e_1', 'e_2' ), product( 'e_4', 'e_1', 'e_3' ) ] )
% 0.72/1.09 , clause( 32, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.72/1.09 , 1, clause( 37, [ product( 'e_4', 'e_1', 'e_1' ), product( 'e_4', 'e_1',
% 0.72/1.09 'e_2' ), product( 'e_4', 'e_1', 'e_3' ), product( 'e_4', 'e_1', 'e_4' ) ]
% 0.72/1.09 )
% 0.72/1.09 , 3, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_4' )] ), substitution( 1
% 0.72/1.09 , [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 463, [ product( 'e_4', 'e_1', 'e_1' ), product( 'e_4', 'e_1', 'e_2'
% 0.72/1.09 ), product( 'e_4', 'e_1', 'e_3' ) ] )
% 0.72/1.09 , clause( 6, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.72/1.09 , 0, clause( 462, [ equalish( 'e_1', 'e_4' ), product( 'e_4', 'e_1', 'e_1'
% 0.72/1.09 ), product( 'e_4', 'e_1', 'e_2' ), product( 'e_4', 'e_1', 'e_3' ) ] )
% 0.72/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 48, [ product( 'e_4', 'e_1', 'e_1' ), product( 'e_4', 'e_1', 'e_2'
% 0.72/1.09 ), product( 'e_4', 'e_1', 'e_3' ) ] )
% 0.72/1.09 , clause( 463, [ product( 'e_4', 'e_1', 'e_1' ), product( 'e_4', 'e_1',
% 0.72/1.09 'e_2' ), product( 'e_4', 'e_1', 'e_3' ) ] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.72/1.09 , 2 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 464, [ product( 'e_4', 'e_3', 'e_4' ), product( 'e_4', 'e_3', 'e_1'
% 0.72/1.09 ), product( 'e_4', 'e_3', 'e_2' ), product( 'e_4', 'e_3', 'e_3' ) ] )
% 0.72/1.09 , clause( 29, [ product( X, 'e_3', 'e_4' ), product( X, 'e_3', 'e_1' ),
% 0.72/1.09 product( X, 'e_3', 'e_2' ), product( X, 'e_3', 'e_3' ), ~(
% 0.72/1.09 'group_element'( X ) ) ] )
% 0.72/1.09 , 4, clause( 3, [ 'group_element'( 'e_4' ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, 'e_4' )] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 58, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3', 'e_2'
% 0.72/1.09 ), product( 'e_4', 'e_3', 'e_3' ), product( 'e_4', 'e_3', 'e_4' ) ] )
% 0.72/1.09 , clause( 464, [ product( 'e_4', 'e_3', 'e_4' ), product( 'e_4', 'e_3',
% 0.72/1.09 'e_1' ), product( 'e_4', 'e_3', 'e_2' ), product( 'e_4', 'e_3', 'e_3' ) ]
% 0.72/1.09 )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.72/1.09 , 1 ), ==>( 3, 2 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 465, [ equalish( 'e_3', 'e_4' ), product( 'e_4', 'e_3', 'e_1' ),
% 0.72/1.09 product( 'e_4', 'e_3', 'e_2' ), product( 'e_4', 'e_3', 'e_3' ) ] )
% 0.72/1.09 , clause( 32, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.72/1.09 , 1, clause( 58, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3',
% 0.72/1.09 'e_2' ), product( 'e_4', 'e_3', 'e_3' ), product( 'e_4', 'e_3', 'e_4' ) ]
% 0.72/1.09 )
% 0.72/1.09 , 3, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_4' )] ), substitution( 1
% 0.72/1.09 , [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 466, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3', 'e_2'
% 0.72/1.09 ), product( 'e_4', 'e_3', 'e_3' ) ] )
% 0.72/1.09 , clause( 12, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.72/1.09 , 0, clause( 465, [ equalish( 'e_3', 'e_4' ), product( 'e_4', 'e_3', 'e_1'
% 0.72/1.09 ), product( 'e_4', 'e_3', 'e_2' ), product( 'e_4', 'e_3', 'e_3' ) ] )
% 0.72/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 69, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3', 'e_2'
% 0.72/1.09 ), product( 'e_4', 'e_3', 'e_3' ) ] )
% 0.72/1.09 , clause( 466, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3',
% 0.72/1.09 'e_2' ), product( 'e_4', 'e_3', 'e_3' ) ] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.72/1.09 , 2 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 467, [ equalish( 'e_4', 'e_3' ), product( 'e_4', 'e_3', 'e_1' ),
% 0.72/1.09 product( 'e_4', 'e_3', 'e_2' ) ] )
% 0.72/1.09 , clause( 31, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.72/1.09 , 1, clause( 69, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3',
% 0.72/1.09 'e_2' ), product( 'e_4', 'e_3', 'e_3' ) ] )
% 0.72/1.09 , 2, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_3' )] ), substitution( 1
% 0.72/1.09 , [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 468, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3', 'e_2'
% 0.72/1.09 ) ] )
% 0.72/1.09 , clause( 15, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.72/1.09 , 0, clause( 467, [ equalish( 'e_4', 'e_3' ), product( 'e_4', 'e_3', 'e_1'
% 0.72/1.09 ), product( 'e_4', 'e_3', 'e_2' ) ] )
% 0.72/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 74, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3', 'e_2'
% 0.72/1.09 ) ] )
% 0.72/1.09 , clause( 468, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3',
% 0.72/1.09 'e_2' ) ] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.09 ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 469, [ product( 'e_1', 'e_4', 'e_4' ), product( 'e_1', 'e_4', 'e_1'
% 0.72/1.09 ), product( 'e_1', 'e_4', 'e_2' ), product( 'e_1', 'e_4', 'e_3' ) ] )
% 0.72/1.09 , clause( 30, [ product( X, 'e_4', 'e_4' ), product( X, 'e_4', 'e_1' ),
% 0.72/1.09 product( X, 'e_4', 'e_2' ), product( X, 'e_4', 'e_3' ), ~(
% 0.72/1.09 'group_element'( X ) ) ] )
% 0.72/1.09 , 4, clause( 0, [ 'group_element'( 'e_1' ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 75, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_2'
% 0.72/1.09 ), product( 'e_1', 'e_4', 'e_3' ), product( 'e_1', 'e_4', 'e_4' ) ] )
% 0.72/1.09 , clause( 469, [ product( 'e_1', 'e_4', 'e_4' ), product( 'e_1', 'e_4',
% 0.72/1.09 'e_1' ), product( 'e_1', 'e_4', 'e_2' ), product( 'e_1', 'e_4', 'e_3' ) ]
% 0.72/1.09 )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.72/1.09 , 1 ), ==>( 3, 2 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 470, [ product( 'e_2', 'e_4', 'e_4' ), product( 'e_2', 'e_4', 'e_1'
% 0.72/1.09 ), product( 'e_2', 'e_4', 'e_2' ), product( 'e_2', 'e_4', 'e_3' ) ] )
% 0.72/1.09 , clause( 30, [ product( X, 'e_4', 'e_4' ), product( X, 'e_4', 'e_1' ),
% 0.72/1.09 product( X, 'e_4', 'e_2' ), product( X, 'e_4', 'e_3' ), ~(
% 0.72/1.09 'group_element'( X ) ) ] )
% 0.72/1.09 , 4, clause( 1, [ 'group_element'( 'e_2' ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 76, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_2'
% 0.72/1.09 ), product( 'e_2', 'e_4', 'e_3' ), product( 'e_2', 'e_4', 'e_4' ) ] )
% 0.72/1.09 , clause( 470, [ product( 'e_2', 'e_4', 'e_4' ), product( 'e_2', 'e_4',
% 0.72/1.09 'e_1' ), product( 'e_2', 'e_4', 'e_2' ), product( 'e_2', 'e_4', 'e_3' ) ]
% 0.72/1.09 )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.72/1.09 , 1 ), ==>( 3, 2 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 471, [ product( 'e_3', 'e_4', 'e_4' ), product( 'e_3', 'e_4', 'e_1'
% 0.72/1.09 ), product( 'e_3', 'e_4', 'e_2' ), product( 'e_3', 'e_4', 'e_3' ) ] )
% 0.72/1.09 , clause( 30, [ product( X, 'e_4', 'e_4' ), product( X, 'e_4', 'e_1' ),
% 0.72/1.09 product( X, 'e_4', 'e_2' ), product( X, 'e_4', 'e_3' ), ~(
% 0.72/1.09 'group_element'( X ) ) ] )
% 0.72/1.09 , 4, clause( 2, [ 'group_element'( 'e_3' ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 77, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4', 'e_2'
% 0.72/1.09 ), product( 'e_3', 'e_4', 'e_3' ), product( 'e_3', 'e_4', 'e_4' ) ] )
% 0.72/1.09 , clause( 471, [ product( 'e_3', 'e_4', 'e_4' ), product( 'e_3', 'e_4',
% 0.72/1.09 'e_1' ), product( 'e_3', 'e_4', 'e_2' ), product( 'e_3', 'e_4', 'e_3' ) ]
% 0.72/1.09 )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.72/1.09 , 1 ), ==>( 3, 2 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 472, [ equalish( 'e_1', 'e_4' ), product( 'e_1', 'e_4', 'e_1' ),
% 0.72/1.09 product( 'e_1', 'e_4', 'e_2' ), product( 'e_1', 'e_4', 'e_3' ) ] )
% 0.72/1.09 , clause( 31, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.72/1.09 , 1, clause( 75, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4',
% 0.72/1.09 'e_2' ), product( 'e_1', 'e_4', 'e_3' ), product( 'e_1', 'e_4', 'e_4' ) ]
% 0.72/1.09 )
% 0.72/1.09 , 3, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_4' )] ), substitution( 1
% 0.72/1.09 , [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 473, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_2'
% 0.72/1.09 ), product( 'e_1', 'e_4', 'e_3' ) ] )
% 0.72/1.09 , clause( 6, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.72/1.09 , 0, clause( 472, [ equalish( 'e_1', 'e_4' ), product( 'e_1', 'e_4', 'e_1'
% 0.72/1.09 ), product( 'e_1', 'e_4', 'e_2' ), product( 'e_1', 'e_4', 'e_3' ) ] )
% 0.72/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 86, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_2'
% 0.72/1.09 ), product( 'e_1', 'e_4', 'e_3' ) ] )
% 0.72/1.09 , clause( 473, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4',
% 0.72/1.09 'e_2' ), product( 'e_1', 'e_4', 'e_3' ) ] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.72/1.09 , 2 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 474, [ equalish( 'e_2', 'e_4' ), product( 'e_2', 'e_4', 'e_1' ),
% 0.72/1.09 product( 'e_2', 'e_4', 'e_2' ), product( 'e_2', 'e_4', 'e_3' ) ] )
% 0.72/1.09 , clause( 31, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.72/1.09 , 1, clause( 76, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4',
% 0.72/1.09 'e_2' ), product( 'e_2', 'e_4', 'e_3' ), product( 'e_2', 'e_4', 'e_4' ) ]
% 0.72/1.09 )
% 0.72/1.09 , 3, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_4' )] ), substitution( 1
% 0.72/1.09 , [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 475, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_2'
% 0.72/1.09 ), product( 'e_2', 'e_4', 'e_3' ) ] )
% 0.72/1.09 , clause( 9, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 0.72/1.09 , 0, clause( 474, [ equalish( 'e_2', 'e_4' ), product( 'e_2', 'e_4', 'e_1'
% 0.72/1.09 ), product( 'e_2', 'e_4', 'e_2' ), product( 'e_2', 'e_4', 'e_3' ) ] )
% 0.72/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 96, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_2'
% 0.72/1.09 ), product( 'e_2', 'e_4', 'e_3' ) ] )
% 0.72/1.09 , clause( 475, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4',
% 0.72/1.09 'e_2' ), product( 'e_2', 'e_4', 'e_3' ) ] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.72/1.09 , 2 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 481, [ ~( product( 'e_4', X, 'e_2' ) ), product( 'e_3', 'e_4', X )
% 0.72/1.09 , product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_2' ) ] )
% 0.72/1.09 , clause( 21, [ ~( product( X, Y, Z ) ), product( T, X, Y ), ~( product( Z
% 0.72/1.09 , X, T ) ) ] )
% 0.72/1.09 , 2, clause( 96, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4',
% 0.72/1.09 'e_2' ), product( 'e_2', 'e_4', 'e_3' ) ] )
% 0.72/1.09 , 2, substitution( 0, [ :=( X, 'e_4' ), :=( Y, X ), :=( Z, 'e_2' ), :=( T,
% 0.72/1.09 'e_3' )] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 98, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_2'
% 0.72/1.09 ), product( 'e_3', 'e_4', X ), ~( product( 'e_4', X, 'e_2' ) ) ] )
% 0.72/1.09 , clause( 481, [ ~( product( 'e_4', X, 'e_2' ) ), product( 'e_3', 'e_4', X
% 0.72/1.09 ), product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_2' ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 0.72/1.09 2 ), ==>( 2, 0 ), ==>( 3, 1 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 489, [ equalish( X, 'e_2' ), ~( product( X, 'e_4', 'e_3' ) ),
% 0.72/1.09 product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_2' ) ] )
% 0.72/1.09 , clause( 19, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.72/1.09 , Z ) ) ] )
% 0.72/1.09 , 2, clause( 96, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4',
% 0.72/1.09 'e_2' ), product( 'e_2', 'e_4', 'e_3' ) ] )
% 0.72/1.09 , 2, substitution( 0, [ :=( X, X ), :=( Y, 'e_4' ), :=( Z, 'e_3' ), :=( T,
% 0.72/1.09 'e_2' )] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 101, [ product( 'e_2', 'e_4', 'e_1' ), equalish( X, 'e_2' ),
% 0.72/1.09 product( 'e_2', 'e_4', 'e_2' ), ~( product( X, 'e_4', 'e_3' ) ) ] )
% 0.72/1.09 , clause( 489, [ equalish( X, 'e_2' ), ~( product( X, 'e_4', 'e_3' ) ),
% 0.72/1.09 product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_2' ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.72/1.09 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 490, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.72/1.09 ), product( 'e_3', 'e_1', 'e_3' ), product( 'e_4', 'e_1', 'e_4' ),
% 0.72/1.09 product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_2' ) ] )
% 0.72/1.09 , clause( 42, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1',
% 0.72/1.09 'e_2' ), product( 'e_3', 'e_1', 'e_3' ), product( 'e_4', 'e_1', X ), ~(
% 0.72/1.09 product( 'e_1', X, 'e_3' ) ) ] )
% 0.72/1.09 , 4, clause( 86, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4',
% 0.72/1.09 'e_2' ), product( 'e_1', 'e_4', 'e_3' ) ] )
% 0.72/1.09 , 2, substitution( 0, [ :=( X, 'e_4' )] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 112, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.72/1.09 ), product( 'e_3', 'e_1', 'e_3' ), product( 'e_1', 'e_4', 'e_1' ),
% 0.72/1.09 product( 'e_1', 'e_4', 'e_2' ), product( 'e_4', 'e_1', 'e_4' ) ] )
% 0.72/1.09 , clause( 490, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1',
% 0.72/1.09 'e_2' ), product( 'e_3', 'e_1', 'e_3' ), product( 'e_4', 'e_1', 'e_4' ),
% 0.72/1.09 product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_2' ) ] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.72/1.09 , 2 ), ==>( 3, 5 ), ==>( 4, 3 ), ==>( 5, 4 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 491, [ equalish( 'e_3', 'e_4' ), product( 'e_3', 'e_4', 'e_1' ),
% 0.72/1.09 product( 'e_3', 'e_4', 'e_2' ), product( 'e_3', 'e_4', 'e_3' ) ] )
% 0.72/1.09 , clause( 31, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.72/1.09 , 1, clause( 77, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4',
% 0.72/1.09 'e_2' ), product( 'e_3', 'e_4', 'e_3' ), product( 'e_3', 'e_4', 'e_4' ) ]
% 0.72/1.09 )
% 0.72/1.09 , 3, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_4' )] ), substitution( 1
% 0.72/1.09 , [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 492, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4', 'e_2'
% 0.72/1.09 ), product( 'e_3', 'e_4', 'e_3' ) ] )
% 0.72/1.09 , clause( 12, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.72/1.09 , 0, clause( 491, [ equalish( 'e_3', 'e_4' ), product( 'e_3', 'e_4', 'e_1'
% 0.72/1.09 ), product( 'e_3', 'e_4', 'e_2' ), product( 'e_3', 'e_4', 'e_3' ) ] )
% 0.72/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 117, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4', 'e_2'
% 0.72/1.09 ), product( 'e_3', 'e_4', 'e_3' ) ] )
% 0.72/1.09 , clause( 492, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4',
% 0.72/1.09 'e_2' ), product( 'e_3', 'e_4', 'e_3' ) ] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.72/1.09 , 2 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 493, [ equalish( 'e_4', 'e_3' ), product( 'e_3', 'e_4', 'e_1' ),
% 0.72/1.09 product( 'e_3', 'e_4', 'e_2' ) ] )
% 0.72/1.09 , clause( 32, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.72/1.09 , 1, clause( 117, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4',
% 0.72/1.09 'e_2' ), product( 'e_3', 'e_4', 'e_3' ) ] )
% 0.72/1.09 , 2, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_3' )] ), substitution( 1
% 0.72/1.09 , [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 494, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4', 'e_2'
% 0.72/1.09 ) ] )
% 0.72/1.09 , clause( 15, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.72/1.09 , 0, clause( 493, [ equalish( 'e_4', 'e_3' ), product( 'e_3', 'e_4', 'e_1'
% 0.72/1.09 ), product( 'e_3', 'e_4', 'e_2' ) ] )
% 0.72/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 122, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4', 'e_2'
% 0.72/1.09 ) ] )
% 0.72/1.09 , clause( 494, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4',
% 0.72/1.09 'e_2' ) ] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.09 ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 498, [ equalish( X, 'e_4' ), ~( product( 'e_3', X, 'e_2' ) ),
% 0.72/1.09 product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.72/1.09 , clause( 18, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.72/1.09 , Z ) ) ] )
% 0.72/1.09 , 2, clause( 122, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4',
% 0.72/1.09 'e_2' ) ] )
% 0.72/1.09 , 1, substitution( 0, [ :=( X, 'e_3' ), :=( Y, X ), :=( Z, 'e_2' ), :=( T,
% 0.72/1.09 'e_4' )] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 126, [ equalish( X, 'e_4' ), product( 'e_3', 'e_4', 'e_1' ), ~(
% 0.72/1.09 product( 'e_3', X, 'e_2' ) ) ] )
% 0.72/1.09 , clause( 498, [ equalish( X, 'e_4' ), ~( product( 'e_3', X, 'e_2' ) ),
% 0.72/1.09 product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.72/1.09 2 ), ==>( 2, 1 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 499, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_2'
% 0.72/1.09 ), product( 'e_3', 'e_4', 'e_3' ), product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.09 , clause( 98, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4',
% 0.72/1.09 'e_2' ), product( 'e_3', 'e_4', X ), ~( product( 'e_4', X, 'e_2' ) ) ] )
% 0.72/1.09 , 3, clause( 74, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3',
% 0.72/1.09 'e_2' ) ] )
% 0.72/1.09 , 1, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 265, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_2'
% 0.72/1.09 ), product( 'e_4', 'e_3', 'e_1' ), product( 'e_3', 'e_4', 'e_3' ) ] )
% 0.72/1.09 , clause( 499, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4',
% 0.72/1.09 'e_2' ), product( 'e_3', 'e_4', 'e_3' ), product( 'e_4', 'e_3', 'e_1' ) ]
% 0.72/1.09 )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.72/1.09 , 3 ), ==>( 3, 2 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 500, [ product( 'e_2', 'e_4', 'e_1' ), equalish( 'e_3', 'e_2' ),
% 0.72/1.09 product( 'e_2', 'e_4', 'e_2' ), product( 'e_2', 'e_4', 'e_1' ), product(
% 0.72/1.09 'e_2', 'e_4', 'e_2' ), product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.09 , clause( 101, [ product( 'e_2', 'e_4', 'e_1' ), equalish( X, 'e_2' ),
% 0.72/1.09 product( 'e_2', 'e_4', 'e_2' ), ~( product( X, 'e_4', 'e_3' ) ) ] )
% 0.72/1.09 , 3, clause( 265, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4',
% 0.72/1.09 'e_2' ), product( 'e_4', 'e_3', 'e_1' ), product( 'e_3', 'e_4', 'e_3' ) ]
% 0.72/1.09 )
% 0.72/1.09 , 3, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 factor(
% 0.72/1.09 clause( 501, [ product( 'e_2', 'e_4', 'e_1' ), equalish( 'e_3', 'e_2' ),
% 0.72/1.09 product( 'e_2', 'e_4', 'e_2' ), product( 'e_2', 'e_4', 'e_2' ), product(
% 0.72/1.09 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.09 , clause( 500, [ product( 'e_2', 'e_4', 'e_1' ), equalish( 'e_3', 'e_2' ),
% 0.72/1.09 product( 'e_2', 'e_4', 'e_2' ), product( 'e_2', 'e_4', 'e_1' ), product(
% 0.72/1.09 'e_2', 'e_4', 'e_2' ), product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.09 , 0, 3, substitution( 0, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 factor(
% 0.72/1.09 clause( 502, [ product( 'e_2', 'e_4', 'e_1' ), equalish( 'e_3', 'e_2' ),
% 0.72/1.09 product( 'e_2', 'e_4', 'e_2' ), product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.09 , clause( 501, [ product( 'e_2', 'e_4', 'e_1' ), equalish( 'e_3', 'e_2' ),
% 0.72/1.09 product( 'e_2', 'e_4', 'e_2' ), product( 'e_2', 'e_4', 'e_2' ), product(
% 0.72/1.09 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.09 , 2, 3, substitution( 0, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 503, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_2'
% 0.72/1.09 ), product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.09 , clause( 11, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.72/1.09 , 0, clause( 502, [ product( 'e_2', 'e_4', 'e_1' ), equalish( 'e_3', 'e_2'
% 0.72/1.09 ), product( 'e_2', 'e_4', 'e_2' ), product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.09 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 274, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_4', 'e_3', 'e_1'
% 0.72/1.09 ), product( 'e_2', 'e_4', 'e_2' ) ] )
% 0.72/1.09 , clause( 503, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4',
% 0.72/1.09 'e_2' ), product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2
% 0.72/1.09 , 1 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 504, [ equalish( 'e_4', 'e_2' ), product( 'e_2', 'e_4', 'e_1' ),
% 0.72/1.09 product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.09 , clause( 32, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.72/1.09 , 1, clause( 274, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_4', 'e_3',
% 0.72/1.09 'e_1' ), product( 'e_2', 'e_4', 'e_2' ) ] )
% 0.72/1.09 , 2, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_2' )] ), substitution( 1
% 0.72/1.09 , [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 505, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_4', 'e_3', 'e_1'
% 0.72/1.09 ) ] )
% 0.72/1.09 , clause( 14, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.72/1.09 , 0, clause( 504, [ equalish( 'e_4', 'e_2' ), product( 'e_2', 'e_4', 'e_1'
% 0.72/1.09 ), product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 280, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_2', 'e_4', 'e_1'
% 0.72/1.09 ) ] )
% 0.72/1.09 , clause( 505, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_4', 'e_3',
% 0.72/1.09 'e_1' ) ] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.72/1.09 ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 509, [ ~( product( 'e_4', X, 'e_2' ) ), product( 'e_1', 'e_4', X )
% 0.72/1.09 , product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.09 , clause( 21, [ ~( product( X, Y, Z ) ), product( T, X, Y ), ~( product( Z
% 0.72/1.09 , X, T ) ) ] )
% 0.72/1.09 , 2, clause( 280, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_2', 'e_4',
% 0.72/1.09 'e_1' ) ] )
% 0.72/1.09 , 1, substitution( 0, [ :=( X, 'e_4' ), :=( Y, X ), :=( Z, 'e_2' ), :=( T,
% 0.72/1.09 'e_1' )] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 281, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_1', 'e_4', X ),
% 0.72/1.09 ~( product( 'e_4', X, 'e_2' ) ) ] )
% 0.72/1.09 , clause( 509, [ ~( product( 'e_4', X, 'e_2' ) ), product( 'e_1', 'e_4', X
% 0.72/1.09 ), product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.72/1.09 1 ), ==>( 2, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 513, [ equalish( X, 'e_2' ), ~( product( X, 'e_4', 'e_1' ) ),
% 0.72/1.09 product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.09 , clause( 19, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.72/1.09 , Z ) ) ] )
% 0.72/1.09 , 2, clause( 280, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_2', 'e_4',
% 0.72/1.09 'e_1' ) ] )
% 0.72/1.09 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'e_4' ), :=( Z, 'e_1' ), :=( T,
% 0.72/1.09 'e_2' )] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 284, [ equalish( X, 'e_2' ), product( 'e_4', 'e_3', 'e_1' ), ~(
% 0.72/1.09 product( X, 'e_4', 'e_1' ) ) ] )
% 0.72/1.09 , clause( 513, [ equalish( X, 'e_2' ), ~( product( X, 'e_4', 'e_1' ) ),
% 0.72/1.09 product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.72/1.09 2 ), ==>( 2, 1 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 514, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_1', 'e_4', 'e_3'
% 0.72/1.09 ), product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.09 , clause( 281, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_1', 'e_4', X )
% 0.72/1.09 , ~( product( 'e_4', X, 'e_2' ) ) ] )
% 0.72/1.09 , 2, clause( 74, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3',
% 0.72/1.09 'e_2' ) ] )
% 0.72/1.09 , 1, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 factor(
% 0.72/1.09 clause( 515, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_1', 'e_4', 'e_3'
% 0.72/1.09 ) ] )
% 0.72/1.09 , clause( 514, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_1', 'e_4',
% 0.72/1.09 'e_3' ), product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.09 , 0, 2, substitution( 0, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 291, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_1', 'e_4', 'e_3'
% 0.72/1.09 ) ] )
% 0.72/1.09 , clause( 515, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_1', 'e_4',
% 0.72/1.09 'e_3' ) ] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.09 ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 519, [ equalish( X, 'e_3' ), ~( product( 'e_1', 'e_4', X ) ),
% 0.72/1.09 product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.09 , clause( 17, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y
% 0.72/1.09 , T ) ) ] )
% 0.72/1.09 , 2, clause( 291, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_1', 'e_4',
% 0.72/1.09 'e_3' ) ] )
% 0.72/1.09 , 1, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_4' ), :=( Z, X ), :=( T,
% 0.72/1.09 'e_3' )] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 294, [ equalish( X, 'e_3' ), product( 'e_4', 'e_3', 'e_1' ), ~(
% 0.72/1.09 product( 'e_1', 'e_4', X ) ) ] )
% 0.72/1.09 , clause( 519, [ equalish( X, 'e_3' ), ~( product( 'e_1', 'e_4', X ) ),
% 0.72/1.09 product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.72/1.09 2 ), ==>( 2, 1 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 520, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.72/1.09 ), equalish( 'e_4', 'e_3' ), product( 'e_3', 'e_1', 'e_3' ), product(
% 0.72/1.09 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ), product( 'e_3',
% 0.72/1.09 'e_1', 'e_3' ), product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4',
% 0.72/1.09 'e_2' ) ] )
% 0.72/1.09 , clause( 45, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1',
% 0.72/1.09 'e_2' ), equalish( X, 'e_3' ), product( 'e_3', 'e_1', 'e_3' ), ~( product(
% 0.72/1.09 X, 'e_1', 'e_4' ) ) ] )
% 0.72/1.09 , 4, clause( 112, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1',
% 0.72/1.09 'e_2' ), product( 'e_3', 'e_1', 'e_3' ), product( 'e_1', 'e_4', 'e_1' ),
% 0.72/1.09 product( 'e_1', 'e_4', 'e_2' ), product( 'e_4', 'e_1', 'e_4' ) ] )
% 0.72/1.09 , 5, substitution( 0, [ :=( X, 'e_4' )] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 524, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.72/1.09 ), product( 'e_3', 'e_1', 'e_3' ), product( 'e_3', 'e_1', 'e_1' ),
% 0.72/1.09 product( 'e_3', 'e_1', 'e_2' ), product( 'e_3', 'e_1', 'e_3' ), product(
% 0.72/1.09 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_2' ) ] )
% 0.72/1.09 , clause( 15, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.72/1.09 , 0, clause( 520, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1',
% 0.72/1.09 'e_2' ), equalish( 'e_4', 'e_3' ), product( 'e_3', 'e_1', 'e_3' ),
% 0.72/1.09 product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ), product(
% 0.72/1.09 'e_3', 'e_1', 'e_3' ), product( 'e_1', 'e_4', 'e_1' ), product( 'e_1',
% 0.72/1.09 'e_4', 'e_2' ) ] )
% 0.72/1.09 , 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 factor(
% 0.72/1.09 clause( 525, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.72/1.09 ), product( 'e_3', 'e_1', 'e_3' ), product( 'e_3', 'e_1', 'e_2' ),
% 0.72/1.09 product( 'e_3', 'e_1', 'e_3' ), product( 'e_1', 'e_4', 'e_1' ), product(
% 0.72/1.09 'e_1', 'e_4', 'e_2' ) ] )
% 0.72/1.09 , clause( 524, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1',
% 0.72/1.09 'e_2' ), product( 'e_3', 'e_1', 'e_3' ), product( 'e_3', 'e_1', 'e_1' ),
% 0.72/1.09 product( 'e_3', 'e_1', 'e_2' ), product( 'e_3', 'e_1', 'e_3' ), product(
% 0.72/1.09 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_2' ) ] )
% 0.72/1.09 , 0, 3, substitution( 0, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 factor(
% 0.72/1.09 clause( 526, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.72/1.09 ), product( 'e_3', 'e_1', 'e_3' ), product( 'e_3', 'e_1', 'e_3' ),
% 0.72/1.09 product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_2' ) ] )
% 0.72/1.09 , clause( 525, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1',
% 0.72/1.09 'e_2' ), product( 'e_3', 'e_1', 'e_3' ), product( 'e_3', 'e_1', 'e_2' ),
% 0.72/1.09 product( 'e_3', 'e_1', 'e_3' ), product( 'e_1', 'e_4', 'e_1' ), product(
% 0.72/1.09 'e_1', 'e_4', 'e_2' ) ] )
% 0.72/1.09 , 1, 3, substitution( 0, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 factor(
% 0.72/1.09 clause( 527, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.72/1.09 ), product( 'e_3', 'e_1', 'e_3' ), product( 'e_1', 'e_4', 'e_1' ),
% 0.72/1.09 product( 'e_1', 'e_4', 'e_2' ) ] )
% 0.72/1.09 , clause( 526, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1',
% 0.72/1.09 'e_2' ), product( 'e_3', 'e_1', 'e_3' ), product( 'e_3', 'e_1', 'e_3' ),
% 0.72/1.09 product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_2' ) ] )
% 0.72/1.09 , 2, 3, substitution( 0, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 315, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.72/1.09 ), product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_2' ),
% 0.72/1.09 product( 'e_3', 'e_1', 'e_3' ) ] )
% 0.72/1.09 , clause( 527, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1',
% 0.72/1.09 'e_2' ), product( 'e_3', 'e_1', 'e_3' ), product( 'e_1', 'e_4', 'e_1' ),
% 0.72/1.09 product( 'e_1', 'e_4', 'e_2' ) ] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.72/1.09 , 4 ), ==>( 3, 2 ), ==>( 4, 3 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 529, [ equalish( 'e_1', 'e_3' ), product( 'e_3', 'e_1', 'e_1' ),
% 0.72/1.09 product( 'e_3', 'e_1', 'e_2' ), product( 'e_1', 'e_4', 'e_1' ), product(
% 0.72/1.09 'e_1', 'e_4', 'e_2' ) ] )
% 0.72/1.09 , clause( 32, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.72/1.09 , 1, clause( 315, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1',
% 0.72/1.09 'e_2' ), product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_2' ),
% 0.72/1.09 product( 'e_3', 'e_1', 'e_3' ) ] )
% 0.72/1.09 , 4, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_3' )] ), substitution( 1
% 0.72/1.09 , [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 530, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.72/1.09 ), product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_2' ) ] )
% 0.72/1.09 , clause( 5, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.72/1.09 , 0, clause( 529, [ equalish( 'e_1', 'e_3' ), product( 'e_3', 'e_1', 'e_1'
% 0.72/1.09 ), product( 'e_3', 'e_1', 'e_2' ), product( 'e_1', 'e_4', 'e_1' ),
% 0.72/1.09 product( 'e_1', 'e_4', 'e_2' ) ] )
% 0.72/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 320, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_1', 'e_4', 'e_1'
% 0.72/1.09 ), product( 'e_3', 'e_1', 'e_2' ), product( 'e_1', 'e_4', 'e_2' ) ] )
% 0.72/1.09 , clause( 530, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1',
% 0.72/1.09 'e_2' ), product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_2' ) ]
% 0.72/1.09 )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2
% 0.72/1.09 , 1 ), ==>( 3, 3 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 532, [ equalish( 'e_2', 'e_3' ), product( 'e_4', 'e_3', 'e_1' ),
% 0.72/1.09 product( 'e_3', 'e_1', 'e_1' ), product( 'e_1', 'e_4', 'e_1' ), product(
% 0.72/1.09 'e_3', 'e_1', 'e_2' ) ] )
% 0.72/1.09 , clause( 294, [ equalish( X, 'e_3' ), product( 'e_4', 'e_3', 'e_1' ), ~(
% 0.72/1.09 product( 'e_1', 'e_4', X ) ) ] )
% 0.72/1.09 , 2, clause( 320, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_1', 'e_4',
% 0.72/1.09 'e_1' ), product( 'e_3', 'e_1', 'e_2' ), product( 'e_1', 'e_4', 'e_2' ) ]
% 0.72/1.09 )
% 0.72/1.09 , 3, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 533, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_1'
% 0.72/1.09 ), product( 'e_1', 'e_4', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.72/1.09 , clause( 8, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.72/1.09 , 0, clause( 532, [ equalish( 'e_2', 'e_3' ), product( 'e_4', 'e_3', 'e_1'
% 0.72/1.09 ), product( 'e_3', 'e_1', 'e_1' ), product( 'e_1', 'e_4', 'e_1' ),
% 0.72/1.09 product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.72/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 321, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_1', 'e_4', 'e_1'
% 0.72/1.09 ), product( 'e_4', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.72/1.09 , clause( 533, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_3', 'e_1',
% 0.72/1.09 'e_1' ), product( 'e_1', 'e_4', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ]
% 0.72/1.09 )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.72/1.09 , 1 ), ==>( 3, 3 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 534, [ equalish( 'e_1', 'e_4' ), product( 'e_3', 'e_4', 'e_1' ),
% 0.72/1.09 product( 'e_3', 'e_1', 'e_1' ), product( 'e_1', 'e_4', 'e_1' ), product(
% 0.72/1.09 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.09 , clause( 126, [ equalish( X, 'e_4' ), product( 'e_3', 'e_4', 'e_1' ), ~(
% 0.72/1.09 product( 'e_3', X, 'e_2' ) ) ] )
% 0.72/1.09 , 2, clause( 321, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_1', 'e_4',
% 0.72/1.09 'e_1' ), product( 'e_4', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ]
% 0.72/1.09 )
% 0.72/1.09 , 3, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 535, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_1', 'e_1'
% 0.72/1.09 ), product( 'e_1', 'e_4', 'e_1' ), product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.09 , clause( 6, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.72/1.09 , 0, clause( 534, [ equalish( 'e_1', 'e_4' ), product( 'e_3', 'e_4', 'e_1'
% 0.72/1.09 ), product( 'e_3', 'e_1', 'e_1' ), product( 'e_1', 'e_4', 'e_1' ),
% 0.72/1.09 product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 328, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_4', 'e_3', 'e_1'
% 0.72/1.09 ), product( 'e_1', 'e_4', 'e_1' ), product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.72/1.09 , clause( 535, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_1',
% 0.72/1.09 'e_1' ), product( 'e_1', 'e_4', 'e_1' ), product( 'e_4', 'e_3', 'e_1' ) ]
% 0.72/1.09 )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.72/1.09 , 2 ), ==>( 3, 1 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 537, [ equalish( 'e_3', 'e_2' ), product( 'e_4', 'e_3', 'e_1' ),
% 0.72/1.09 product( 'e_3', 'e_1', 'e_1' ), product( 'e_4', 'e_3', 'e_1' ), product(
% 0.72/1.09 'e_1', 'e_4', 'e_1' ) ] )
% 0.72/1.09 , clause( 284, [ equalish( X, 'e_2' ), product( 'e_4', 'e_3', 'e_1' ), ~(
% 0.72/1.09 product( X, 'e_4', 'e_1' ) ) ] )
% 0.72/1.09 , 2, clause( 328, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_4', 'e_3',
% 0.72/1.09 'e_1' ), product( 'e_1', 'e_4', 'e_1' ), product( 'e_3', 'e_4', 'e_1' ) ]
% 0.72/1.09 )
% 0.72/1.09 , 3, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 540, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_1'
% 0.72/1.09 ), product( 'e_4', 'e_3', 'e_1' ), product( 'e_1', 'e_4', 'e_1' ) ] )
% 0.72/1.09 , clause( 11, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.72/1.09 , 0, clause( 537, [ equalish( 'e_3', 'e_2' ), product( 'e_4', 'e_3', 'e_1'
% 0.72/1.09 ), product( 'e_3', 'e_1', 'e_1' ), product( 'e_4', 'e_3', 'e_1' ),
% 0.72/1.09 product( 'e_1', 'e_4', 'e_1' ) ] )
% 0.72/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 factor(
% 0.72/1.09 clause( 541, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_1'
% 0.72/1.09 ), product( 'e_1', 'e_4', 'e_1' ) ] )
% 0.72/1.09 , clause( 540, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_3', 'e_1',
% 0.72/1.09 'e_1' ), product( 'e_4', 'e_3', 'e_1' ), product( 'e_1', 'e_4', 'e_1' ) ]
% 0.72/1.09 )
% 0.72/1.09 , 0, 2, substitution( 0, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 333, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_4', 'e_3', 'e_1'
% 0.72/1.09 ), product( 'e_1', 'e_4', 'e_1' ) ] )
% 0.72/1.09 , clause( 541, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_3', 'e_1',
% 0.72/1.09 'e_1' ), product( 'e_1', 'e_4', 'e_1' ) ] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.72/1.09 , 2 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 542, [ equalish( 'e_1', 'e_3' ), product( 'e_4', 'e_3', 'e_1' ),
% 0.72/1.09 product( 'e_3', 'e_1', 'e_1' ), product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.09 , clause( 294, [ equalish( X, 'e_3' ), product( 'e_4', 'e_3', 'e_1' ), ~(
% 0.72/1.09 product( 'e_1', 'e_4', X ) ) ] )
% 0.72/1.09 , 2, clause( 333, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_4', 'e_3',
% 0.72/1.09 'e_1' ), product( 'e_1', 'e_4', 'e_1' ) ] )
% 0.72/1.09 , 2, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 544, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_1'
% 0.72/1.09 ), product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.09 , clause( 5, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.72/1.09 , 0, clause( 542, [ equalish( 'e_1', 'e_3' ), product( 'e_4', 'e_3', 'e_1'
% 0.72/1.09 ), product( 'e_3', 'e_1', 'e_1' ), product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 factor(
% 0.72/1.09 clause( 545, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_1'
% 0.72/1.09 ) ] )
% 0.72/1.09 , clause( 544, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_3', 'e_1',
% 0.72/1.09 'e_1' ), product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.09 , 0, 2, substitution( 0, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 335, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_4', 'e_3', 'e_1'
% 0.72/1.09 ) ] )
% 0.72/1.09 , clause( 545, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_3', 'e_1',
% 0.72/1.09 'e_1' ) ] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.72/1.09 ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 549, [ ~( product( 'e_3', X, 'e_4' ) ), product( 'e_1', 'e_3', X )
% 0.72/1.09 , product( 'e_3', 'e_1', 'e_1' ) ] )
% 0.72/1.09 , clause( 21, [ ~( product( X, Y, Z ) ), product( T, X, Y ), ~( product( Z
% 0.72/1.09 , X, T ) ) ] )
% 0.72/1.09 , 2, clause( 335, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_4', 'e_3',
% 0.72/1.09 'e_1' ) ] )
% 0.72/1.09 , 1, substitution( 0, [ :=( X, 'e_3' ), :=( Y, X ), :=( Z, 'e_4' ), :=( T,
% 0.72/1.09 'e_1' )] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 338, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_1', 'e_3', X ),
% 0.72/1.09 ~( product( 'e_3', X, 'e_4' ) ) ] )
% 0.72/1.09 , clause( 549, [ ~( product( 'e_3', X, 'e_4' ) ), product( 'e_1', 'e_3', X
% 0.72/1.09 ), product( 'e_3', 'e_1', 'e_1' ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.72/1.09 1 ), ==>( 2, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 554, [ equalish( X, 'e_3' ), ~( product( 'e_4', X, 'e_1' ) ),
% 0.72/1.09 product( 'e_3', 'e_1', 'e_1' ) ] )
% 0.72/1.09 , clause( 18, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.72/1.09 , Z ) ) ] )
% 0.72/1.09 , 2, clause( 335, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_4', 'e_3',
% 0.72/1.09 'e_1' ) ] )
% 0.72/1.09 , 1, substitution( 0, [ :=( X, 'e_4' ), :=( Y, X ), :=( Z, 'e_1' ), :=( T,
% 0.72/1.09 'e_3' )] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 340, [ equalish( X, 'e_3' ), product( 'e_3', 'e_1', 'e_1' ), ~(
% 0.72/1.09 product( 'e_4', X, 'e_1' ) ) ] )
% 0.72/1.09 , clause( 554, [ equalish( X, 'e_3' ), ~( product( 'e_4', X, 'e_1' ) ),
% 0.72/1.09 product( 'e_3', 'e_1', 'e_1' ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.72/1.09 2 ), ==>( 2, 1 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 558, [ equalish( X, 'e_4' ), ~( product( X, 'e_3', 'e_1' ) ),
% 0.72/1.09 product( 'e_3', 'e_1', 'e_1' ) ] )
% 0.72/1.09 , clause( 19, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.72/1.09 , Z ) ) ] )
% 0.72/1.09 , 2, clause( 335, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_4', 'e_3',
% 0.72/1.09 'e_1' ) ] )
% 0.72/1.09 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'e_3' ), :=( Z, 'e_1' ), :=( T,
% 0.72/1.09 'e_4' )] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 341, [ equalish( X, 'e_4' ), product( 'e_3', 'e_1', 'e_1' ), ~(
% 0.72/1.09 product( X, 'e_3', 'e_1' ) ) ] )
% 0.72/1.09 , clause( 558, [ equalish( X, 'e_4' ), ~( product( X, 'e_3', 'e_1' ) ),
% 0.72/1.09 product( 'e_3', 'e_1', 'e_1' ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.72/1.09 2 ), ==>( 2, 1 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 559, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.72/1.09 ), product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ),
% 0.72/1.09 product( 'e_3', 'e_1', 'e_3' ) ] )
% 0.72/1.09 , clause( 338, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_1', 'e_3', X )
% 0.72/1.09 , ~( product( 'e_3', X, 'e_4' ) ) ] )
% 0.72/1.09 , 2, clause( 36, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1',
% 0.72/1.09 'e_2' ), product( 'e_3', 'e_1', 'e_3' ), product( 'e_3', 'e_1', 'e_4' ) ]
% 0.72/1.09 )
% 0.72/1.09 , 3, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 factor(
% 0.72/1.09 clause( 560, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.72/1.09 ), product( 'e_3', 'e_1', 'e_2' ), product( 'e_3', 'e_1', 'e_3' ) ] )
% 0.72/1.09 , clause( 559, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_1', 'e_3',
% 0.72/1.09 'e_1' ), product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ),
% 0.72/1.09 product( 'e_3', 'e_1', 'e_3' ) ] )
% 0.72/1.09 , 0, 2, substitution( 0, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 343, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.72/1.09 ), product( 'e_3', 'e_1', 'e_2' ), product( 'e_3', 'e_1', 'e_3' ) ] )
% 0.72/1.09 , clause( 560, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_1', 'e_3',
% 0.72/1.09 'e_1' ), product( 'e_3', 'e_1', 'e_2' ), product( 'e_3', 'e_1', 'e_3' ) ]
% 0.72/1.09 )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.72/1.09 , 2 ), ==>( 3, 3 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 562, [ equalish( 'e_1', 'e_3' ), product( 'e_3', 'e_1', 'e_1' ),
% 0.72/1.09 product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.72/1.09 , clause( 32, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.72/1.09 , 1, clause( 343, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_1', 'e_3',
% 0.72/1.09 'e_1' ), product( 'e_3', 'e_1', 'e_2' ), product( 'e_3', 'e_1', 'e_3' ) ]
% 0.72/1.09 )
% 0.72/1.09 , 3, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_3' )] ), substitution( 1
% 0.72/1.09 , [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 563, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.72/1.09 ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.72/1.09 , clause( 5, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.72/1.09 , 0, clause( 562, [ equalish( 'e_1', 'e_3' ), product( 'e_3', 'e_1', 'e_1'
% 0.72/1.09 ), product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.72/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 347, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.72/1.09 ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.72/1.09 , clause( 563, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_1', 'e_3',
% 0.72/1.09 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.72/1.09 , 2 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 564, [ equalish( 'e_1', 'e_4' ), product( 'e_3', 'e_4', 'e_1' ),
% 0.72/1.09 product( 'e_3', 'e_1', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.72/1.09 , clause( 126, [ equalish( X, 'e_4' ), product( 'e_3', 'e_4', 'e_1' ), ~(
% 0.72/1.09 product( 'e_3', X, 'e_2' ) ) ] )
% 0.72/1.09 , 2, clause( 347, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_1', 'e_3',
% 0.72/1.09 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.72/1.09 , 2, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 565, [ equalish( 'e_1', 'e_4' ), product( 'e_3', 'e_1', 'e_1' ),
% 0.72/1.09 equalish( 'e_1', 'e_4' ), product( 'e_3', 'e_4', 'e_1' ), product( 'e_3'
% 0.72/1.09 , 'e_1', 'e_1' ) ] )
% 0.72/1.09 , clause( 341, [ equalish( X, 'e_4' ), product( 'e_3', 'e_1', 'e_1' ), ~(
% 0.72/1.09 product( X, 'e_3', 'e_1' ) ) ] )
% 0.72/1.09 , 2, clause( 564, [ equalish( 'e_1', 'e_4' ), product( 'e_3', 'e_4', 'e_1'
% 0.72/1.09 ), product( 'e_3', 'e_1', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.72/1.09 , 3, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 factor(
% 0.72/1.09 clause( 567, [ equalish( 'e_1', 'e_4' ), product( 'e_3', 'e_1', 'e_1' ),
% 0.72/1.09 equalish( 'e_1', 'e_4' ), product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.72/1.09 , clause( 565, [ equalish( 'e_1', 'e_4' ), product( 'e_3', 'e_1', 'e_1' ),
% 0.72/1.09 equalish( 'e_1', 'e_4' ), product( 'e_3', 'e_4', 'e_1' ), product( 'e_3'
% 0.72/1.09 , 'e_1', 'e_1' ) ] )
% 0.72/1.09 , 1, 4, substitution( 0, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 factor(
% 0.72/1.09 clause( 568, [ equalish( 'e_1', 'e_4' ), product( 'e_3', 'e_1', 'e_1' ),
% 0.72/1.09 product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.72/1.09 , clause( 567, [ equalish( 'e_1', 'e_4' ), product( 'e_3', 'e_1', 'e_1' ),
% 0.72/1.09 equalish( 'e_1', 'e_4' ), product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.72/1.09 , 0, 2, substitution( 0, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 350, [ equalish( 'e_1', 'e_4' ), product( 'e_3', 'e_1', 'e_1' ),
% 0.72/1.09 product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.72/1.09 , clause( 568, [ equalish( 'e_1', 'e_4' ), product( 'e_3', 'e_1', 'e_1' ),
% 0.72/1.09 product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.72/1.09 , 2 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 574, [ equalish( X, 'e_3' ), ~( product( X, 'e_1', 'e_2' ) ),
% 0.72/1.09 product( 'e_3', 'e_1', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.72/1.09 , clause( 19, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.72/1.09 , Z ) ) ] )
% 0.72/1.09 , 2, clause( 347, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_1', 'e_3',
% 0.72/1.09 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.72/1.09 , 2, substitution( 0, [ :=( X, X ), :=( Y, 'e_1' ), :=( Z, 'e_2' ), :=( T,
% 0.72/1.09 'e_3' )] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 354, [ product( 'e_3', 'e_1', 'e_1' ), equalish( X, 'e_3' ),
% 0.72/1.09 product( 'e_1', 'e_3', 'e_1' ), ~( product( X, 'e_1', 'e_2' ) ) ] )
% 0.72/1.09 , clause( 574, [ equalish( X, 'e_3' ), ~( product( X, 'e_1', 'e_2' ) ),
% 0.72/1.09 product( 'e_3', 'e_1', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.72/1.09 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 575, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_4', 'e_1'
% 0.72/1.09 ) ] )
% 0.72/1.09 , clause( 6, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.72/1.09 , 0, clause( 350, [ equalish( 'e_1', 'e_4' ), product( 'e_3', 'e_1', 'e_1'
% 0.72/1.09 ), product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.72/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 355, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_4', 'e_1'
% 0.72/1.09 ) ] )
% 0.72/1.09 , clause( 575, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_4',
% 0.72/1.09 'e_1' ) ] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.09 ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 579, [ ~( product( 'e_4', X, 'e_3' ) ), product( 'e_1', 'e_4', X )
% 0.72/1.09 , product( 'e_3', 'e_1', 'e_1' ) ] )
% 0.72/1.09 , clause( 21, [ ~( product( X, Y, Z ) ), product( T, X, Y ), ~( product( Z
% 0.72/1.09 , X, T ) ) ] )
% 0.72/1.09 , 2, clause( 355, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_4',
% 0.72/1.09 'e_1' ) ] )
% 0.72/1.09 , 1, substitution( 0, [ :=( X, 'e_4' ), :=( Y, X ), :=( Z, 'e_3' ), :=( T,
% 0.72/1.09 'e_1' )] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 361, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_1', 'e_4', X ),
% 0.72/1.09 ~( product( 'e_4', X, 'e_3' ) ) ] )
% 0.72/1.09 , clause( 579, [ ~( product( 'e_4', X, 'e_3' ) ), product( 'e_1', 'e_4', X
% 0.72/1.09 ), product( 'e_3', 'e_1', 'e_1' ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.72/1.09 1 ), ==>( 2, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 583, [ equalish( X, 'e_3' ), ~( product( X, 'e_4', 'e_1' ) ),
% 0.72/1.09 product( 'e_3', 'e_1', 'e_1' ) ] )
% 0.72/1.09 , clause( 19, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.72/1.09 , Z ) ) ] )
% 0.72/1.09 , 2, clause( 355, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_3', 'e_4',
% 0.72/1.09 'e_1' ) ] )
% 0.72/1.09 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'e_4' ), :=( Z, 'e_1' ), :=( T,
% 0.72/1.09 'e_3' )] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 364, [ equalish( X, 'e_3' ), product( 'e_3', 'e_1', 'e_1' ), ~(
% 0.72/1.09 product( X, 'e_4', 'e_1' ) ) ] )
% 0.72/1.09 , clause( 583, [ equalish( X, 'e_3' ), ~( product( X, 'e_4', 'e_1' ) ),
% 0.72/1.09 product( 'e_3', 'e_1', 'e_1' ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.72/1.09 2 ), ==>( 2, 1 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 584, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_1', 'e_4', 'e_1'
% 0.72/1.09 ), product( 'e_4', 'e_1', 'e_1' ), product( 'e_4', 'e_1', 'e_2' ) ] )
% 0.72/1.09 , clause( 361, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_1', 'e_4', X )
% 0.72/1.09 , ~( product( 'e_4', X, 'e_3' ) ) ] )
% 0.72/1.09 , 2, clause( 48, [ product( 'e_4', 'e_1', 'e_1' ), product( 'e_4', 'e_1',
% 0.72/1.09 'e_2' ), product( 'e_4', 'e_1', 'e_3' ) ] )
% 0.72/1.09 , 2, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 368, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_4', 'e_1', 'e_1'
% 0.72/1.09 ), product( 'e_1', 'e_4', 'e_1' ), product( 'e_4', 'e_1', 'e_2' ) ] )
% 0.72/1.09 , clause( 584, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_1', 'e_4',
% 0.72/1.09 'e_1' ), product( 'e_4', 'e_1', 'e_1' ), product( 'e_4', 'e_1', 'e_2' ) ]
% 0.72/1.09 )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2
% 0.72/1.09 , 1 ), ==>( 3, 3 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 585, [ product( 'e_3', 'e_1', 'e_1' ), equalish( 'e_4', 'e_3' ),
% 0.72/1.09 product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_1' ), product(
% 0.72/1.09 'e_4', 'e_1', 'e_1' ), product( 'e_1', 'e_4', 'e_1' ) ] )
% 0.72/1.09 , clause( 354, [ product( 'e_3', 'e_1', 'e_1' ), equalish( X, 'e_3' ),
% 0.72/1.09 product( 'e_1', 'e_3', 'e_1' ), ~( product( X, 'e_1', 'e_2' ) ) ] )
% 0.72/1.09 , 3, clause( 368, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_4', 'e_1',
% 0.72/1.09 'e_1' ), product( 'e_1', 'e_4', 'e_1' ), product( 'e_4', 'e_1', 'e_2' ) ]
% 0.72/1.09 )
% 0.72/1.09 , 3, substitution( 0, [ :=( X, 'e_4' )] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 587, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.72/1.09 ), product( 'e_3', 'e_1', 'e_1' ), product( 'e_4', 'e_1', 'e_1' ),
% 0.72/1.09 product( 'e_1', 'e_4', 'e_1' ) ] )
% 0.72/1.09 , clause( 15, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.72/1.09 , 0, clause( 585, [ product( 'e_3', 'e_1', 'e_1' ), equalish( 'e_4', 'e_3'
% 0.72/1.09 ), product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_1' ),
% 0.72/1.09 product( 'e_4', 'e_1', 'e_1' ), product( 'e_1', 'e_4', 'e_1' ) ] )
% 0.72/1.09 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 factor(
% 0.72/1.09 clause( 588, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.72/1.09 ), product( 'e_4', 'e_1', 'e_1' ), product( 'e_1', 'e_4', 'e_1' ) ] )
% 0.72/1.09 , clause( 587, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_1', 'e_3',
% 0.72/1.09 'e_1' ), product( 'e_3', 'e_1', 'e_1' ), product( 'e_4', 'e_1', 'e_1' ),
% 0.72/1.09 product( 'e_1', 'e_4', 'e_1' ) ] )
% 0.72/1.09 , 0, 2, substitution( 0, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 372, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_4', 'e_1', 'e_1'
% 0.72/1.09 ), product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_4', 'e_1' ) ] )
% 0.72/1.09 , clause( 588, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_1', 'e_3',
% 0.72/1.09 'e_1' ), product( 'e_4', 'e_1', 'e_1' ), product( 'e_1', 'e_4', 'e_1' ) ]
% 0.72/1.09 )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2
% 0.72/1.09 , 1 ), ==>( 3, 3 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 589, [ equalish( 'e_1', 'e_3' ), product( 'e_3', 'e_1', 'e_1' ),
% 0.72/1.09 product( 'e_3', 'e_1', 'e_1' ), product( 'e_4', 'e_1', 'e_1' ), product(
% 0.72/1.09 'e_1', 'e_3', 'e_1' ) ] )
% 0.72/1.09 , clause( 364, [ equalish( X, 'e_3' ), product( 'e_3', 'e_1', 'e_1' ), ~(
% 0.72/1.09 product( X, 'e_4', 'e_1' ) ) ] )
% 0.72/1.09 , 2, clause( 372, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_4', 'e_1',
% 0.72/1.09 'e_1' ), product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_4', 'e_1' ) ]
% 0.72/1.09 )
% 0.72/1.09 , 3, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 591, [ equalish( 'e_1', 'e_3' ), product( 'e_3', 'e_1', 'e_1' ),
% 0.72/1.09 equalish( 'e_1', 'e_3' ), product( 'e_3', 'e_1', 'e_1' ), product( 'e_3'
% 0.72/1.09 , 'e_1', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.72/1.09 , clause( 340, [ equalish( X, 'e_3' ), product( 'e_3', 'e_1', 'e_1' ), ~(
% 0.72/1.09 product( 'e_4', X, 'e_1' ) ) ] )
% 0.72/1.09 , 2, clause( 589, [ equalish( 'e_1', 'e_3' ), product( 'e_3', 'e_1', 'e_1'
% 0.72/1.09 ), product( 'e_3', 'e_1', 'e_1' ), product( 'e_4', 'e_1', 'e_1' ),
% 0.72/1.09 product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.72/1.09 , 3, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 factor(
% 0.72/1.09 clause( 593, [ equalish( 'e_1', 'e_3' ), product( 'e_3', 'e_1', 'e_1' ),
% 0.72/1.09 equalish( 'e_1', 'e_3' ), product( 'e_3', 'e_1', 'e_1' ), product( 'e_1'
% 0.72/1.09 , 'e_3', 'e_1' ) ] )
% 0.72/1.09 , clause( 591, [ equalish( 'e_1', 'e_3' ), product( 'e_3', 'e_1', 'e_1' ),
% 0.72/1.09 equalish( 'e_1', 'e_3' ), product( 'e_3', 'e_1', 'e_1' ), product( 'e_3'
% 0.72/1.09 , 'e_1', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.72/1.09 , 1, 3, substitution( 0, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 factor(
% 0.72/1.09 clause( 595, [ equalish( 'e_1', 'e_3' ), product( 'e_3', 'e_1', 'e_1' ),
% 0.72/1.09 equalish( 'e_1', 'e_3' ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.72/1.09 , clause( 593, [ equalish( 'e_1', 'e_3' ), product( 'e_3', 'e_1', 'e_1' ),
% 0.72/1.09 equalish( 'e_1', 'e_3' ), product( 'e_3', 'e_1', 'e_1' ), product( 'e_1'
% 0.72/1.09 , 'e_3', 'e_1' ) ] )
% 0.72/1.09 , 1, 3, substitution( 0, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 factor(
% 0.72/1.09 clause( 596, [ equalish( 'e_1', 'e_3' ), product( 'e_3', 'e_1', 'e_1' ),
% 0.72/1.09 product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.72/1.09 , clause( 595, [ equalish( 'e_1', 'e_3' ), product( 'e_3', 'e_1', 'e_1' ),
% 0.72/1.09 equalish( 'e_1', 'e_3' ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.72/1.09 , 0, 2, substitution( 0, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 377, [ product( 'e_3', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.72/1.09 product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.72/1.09 , clause( 596, [ equalish( 'e_1', 'e_3' ), product( 'e_3', 'e_1', 'e_1' ),
% 0.72/1.09 product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.72/1.09 , 2 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 597, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.72/1.09 ) ] )
% 0.72/1.09 , clause( 5, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.72/1.09 , 0, clause( 377, [ product( 'e_3', 'e_1', 'e_1' ), equalish( 'e_1', 'e_3'
% 0.72/1.09 ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.72/1.09 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 384, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.72/1.09 ) ] )
% 0.72/1.09 , clause( 597, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_1', 'e_3',
% 0.72/1.09 'e_1' ) ] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.09 ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 598, [ equalish( 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_1' ) ]
% 0.72/1.09 )
% 0.72/1.09 , clause( 32, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.72/1.09 , 1, clause( 384, [ product( 'e_3', 'e_1', 'e_1' ), product( 'e_1', 'e_3',
% 0.72/1.09 'e_1' ) ] )
% 0.72/1.09 , 1, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_1' )] ), substitution( 1
% 0.72/1.09 , [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 599, [ equalish( 'e_3', 'e_1' ), equalish( 'e_3', 'e_1' ) ] )
% 0.72/1.09 , clause( 31, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.72/1.09 , 1, clause( 598, [ equalish( 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_1'
% 0.72/1.09 ) ] )
% 0.72/1.09 , 1, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_1' )] ), substitution( 1
% 0.72/1.09 , [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 factor(
% 0.72/1.09 clause( 600, [ equalish( 'e_3', 'e_1' ) ] )
% 0.72/1.09 , clause( 599, [ equalish( 'e_3', 'e_1' ), equalish( 'e_3', 'e_1' ) ] )
% 0.72/1.09 , 0, 1, substitution( 0, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 387, [ equalish( 'e_3', 'e_1' ) ] )
% 0.72/1.09 , clause( 600, [ equalish( 'e_3', 'e_1' ) ] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 601, [] )
% 0.72/1.09 , clause( 10, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.72/1.09 , 0, clause( 387, [ equalish( 'e_3', 'e_1' ) ] )
% 0.72/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 388, [] )
% 0.72/1.09 , clause( 601, [] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 end.
% 0.72/1.09
% 0.72/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.09
% 0.72/1.09 Memory use:
% 0.72/1.09
% 0.72/1.09 space for terms: 6860
% 0.72/1.09 space for clauses: 16854
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 clauses generated: 1254
% 0.72/1.09 clauses kept: 389
% 0.72/1.09 clauses selected: 229
% 0.72/1.09 clauses deleted: 63
% 0.72/1.09 clauses inuse deleted: 0
% 0.72/1.09
% 0.72/1.09 subsentry: 3531
% 0.72/1.09 literals s-matched: 2059
% 0.72/1.09 literals matched: 1812
% 0.72/1.09 full subsumption: 278
% 0.72/1.09
% 0.72/1.09 checksum: -385723183
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Bliksem ended
%------------------------------------------------------------------------------