TSTP Solution File: GRP126-3.004 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP126-3.004 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 07:35:13 EDT 2022
% Result : Unsatisfiable 0.72s 1.10s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP126-3.004 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.12 % Command : bliksem %s
% 0.14/0.33 % Computer : n008.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % DateTime : Mon Jun 13 13:25:22 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.72/1.10 *** allocated 10000 integers for termspace/termends
% 0.72/1.10 *** allocated 10000 integers for clauses
% 0.72/1.10 *** allocated 10000 integers for justifications
% 0.72/1.10 Bliksem 1.12
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 Automatic Strategy Selection
% 0.72/1.10
% 0.72/1.10 Clauses:
% 0.72/1.10 [
% 0.72/1.10 [ next( 'e_0', 'e_1' ) ],
% 0.72/1.10 [ next( 'e_1', 'e_2' ) ],
% 0.72/1.10 [ next( 'e_2', 'e_3' ) ],
% 0.72/1.10 [ next( 'e_3', 'e_4' ) ],
% 0.72/1.10 [ greater( 'e_1', 'e_0' ) ],
% 0.72/1.10 [ greater( 'e_2', 'e_0' ) ],
% 0.72/1.10 [ greater( 'e_3', 'e_0' ) ],
% 0.72/1.10 [ greater( 'e_4', 'e_0' ) ],
% 0.72/1.10 [ greater( 'e_2', 'e_1' ) ],
% 0.72/1.10 [ greater( 'e_3', 'e_1' ) ],
% 0.72/1.10 [ greater( 'e_4', 'e_1' ) ],
% 0.72/1.10 [ greater( 'e_3', 'e_2' ) ],
% 0.72/1.10 [ greater( 'e_4', 'e_2' ) ],
% 0.72/1.10 [ greater( 'e_4', 'e_3' ) ],
% 0.72/1.10 [ ~( cycle( X, Y ) ), ~( cycle( X, Z ) ), equalish( Y, Z ) ],
% 0.72/1.10 [ ~( 'group_element'( X ) ), cycle( X, 'e_0' ), cycle( X, 'e_1' ), cycle(
% 0.72/1.10 X, 'e_2' ), cycle( X, 'e_3' ) ],
% 0.72/1.10 [ cycle( 'e_4', 'e_0' ) ],
% 0.72/1.10 [ ~( cycle( X, Y ) ), ~( cycle( Z, T ) ), ~( next( X, Z ) ), ~( greater(
% 0.72/1.10 Y, 'e_0' ) ), ~( next( T, U ) ), equalish( Y, U ) ],
% 0.72/1.10 [ ~( cycle( X, Y ) ), ~( cycle( Z, 'e_0' ) ), ~( cycle( T, U ) ), ~(
% 0.72/1.10 next( Z, T ) ), ~( greater( Z, X ) ), ~( greater( Y, U ) ) ],
% 0.72/1.10 [ ~( cycle( X, 'e_0' ) ), ~( product( X, 'e_1', Y ) ), ~( greater( Y, X
% 0.72/1.10 ) ) ],
% 0.72/1.10 [ ~( cycle( X, Y ) ), ~( product( X, 'e_1', Z ) ), ~( greater( Y, 'e_0'
% 0.72/1.10 ) ), ~( next( X, T ) ), equalish( Z, T ) ],
% 0.72/1.10 [ 'group_element'( 'e_1' ) ],
% 0.72/1.10 [ 'group_element'( 'e_2' ) ],
% 0.72/1.10 [ 'group_element'( 'e_3' ) ],
% 0.72/1.10 [ 'group_element'( 'e_4' ) ],
% 0.72/1.10 [ ~( equalish( 'e_1', 'e_2' ) ) ],
% 0.72/1.10 [ ~( equalish( 'e_1', 'e_3' ) ) ],
% 0.72/1.10 [ ~( equalish( 'e_1', 'e_4' ) ) ],
% 0.72/1.10 [ ~( equalish( 'e_2', 'e_1' ) ) ],
% 0.72/1.10 [ ~( equalish( 'e_2', 'e_3' ) ) ],
% 0.72/1.10 [ ~( equalish( 'e_2', 'e_4' ) ) ],
% 0.72/1.10 [ ~( equalish( 'e_3', 'e_1' ) ) ],
% 0.72/1.10 [ ~( equalish( 'e_3', 'e_2' ) ) ],
% 0.72/1.10 [ ~( equalish( 'e_3', 'e_4' ) ) ],
% 0.72/1.10 [ ~( equalish( 'e_4', 'e_1' ) ) ],
% 0.72/1.10 [ ~( equalish( 'e_4', 'e_2' ) ) ],
% 0.72/1.10 [ ~( equalish( 'e_4', 'e_3' ) ) ],
% 0.72/1.10 [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ), product( X, Y,
% 0.72/1.10 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ), product( X, Y,
% 0.72/1.10 'e_4' ) ],
% 0.72/1.10 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish( Z, T ) ]
% 0.72/1.10 ,
% 0.72/1.10 [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish( Y, T ) ]
% 0.72/1.10 ,
% 0.72/1.10 [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish( X, T ) ]
% 0.72/1.10 ,
% 0.72/1.10 [ product( X, X, X ) ],
% 0.72/1.10 [ ~( product( X, Y, Z ) ), ~( product( Y, X, T ) ), product( Z, T, Y ) ]
% 0.72/1.10
% 0.72/1.10 ] .
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 percentage equality = 0.000000, percentage horn = 0.953488
% 0.72/1.10 This is a near-Horn, non-equality problem
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 Options Used:
% 0.72/1.10
% 0.72/1.10 useres = 1
% 0.72/1.10 useparamod = 0
% 0.72/1.10 useeqrefl = 0
% 0.72/1.10 useeqfact = 0
% 0.72/1.10 usefactor = 1
% 0.72/1.10 usesimpsplitting = 0
% 0.72/1.10 usesimpdemod = 0
% 0.72/1.10 usesimpres = 4
% 0.72/1.10
% 0.72/1.10 resimpinuse = 1000
% 0.72/1.10 resimpclauses = 20000
% 0.72/1.10 substype = standard
% 0.72/1.10 backwardsubs = 1
% 0.72/1.10 selectoldest = 5
% 0.72/1.10
% 0.72/1.10 litorderings [0] = split
% 0.72/1.10 litorderings [1] = liftord
% 0.72/1.10
% 0.72/1.10 termordering = none
% 0.72/1.10
% 0.72/1.10 litapriori = 1
% 0.72/1.10 termapriori = 0
% 0.72/1.10 litaposteriori = 0
% 0.72/1.10 termaposteriori = 0
% 0.72/1.10 demodaposteriori = 0
% 0.72/1.10 ordereqreflfact = 0
% 0.72/1.10
% 0.72/1.10 litselect = negative
% 0.72/1.10
% 0.72/1.10 maxweight = 30000
% 0.72/1.10 maxdepth = 30000
% 0.72/1.10 maxlength = 115
% 0.72/1.10 maxnrvars = 195
% 0.72/1.10 excuselevel = 0
% 0.72/1.10 increasemaxweight = 0
% 0.72/1.10
% 0.72/1.10 maxselected = 10000000
% 0.72/1.10 maxnrclauses = 10000000
% 0.72/1.10
% 0.72/1.10 showgenerated = 0
% 0.72/1.10 showkept = 0
% 0.72/1.10 showselected = 0
% 0.72/1.10 showdeleted = 0
% 0.72/1.10 showresimp = 1
% 0.72/1.10 showstatus = 2000
% 0.72/1.10
% 0.72/1.10 prologoutput = 1
% 0.72/1.10 nrgoals = 5000000
% 0.72/1.10 totalproof = 1
% 0.72/1.10
% 0.72/1.10 Symbols occurring in the translation:
% 0.72/1.10
% 0.72/1.10 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.10 . [1, 2] (w:1, o:27, a:1, s:1, b:0),
% 0.72/1.10 ! [4, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.72/1.10 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.10 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.10 'e_0' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.72/1.10 'e_1' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.72/1.10 next [41, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.72/1.10 'e_2' [42, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.72/1.10 'e_3' [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.72/1.10 'e_4' [44, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.72/1.10 greater [45, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.72/1.10 cycle [48, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.72/1.10 equalish [50, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.72/1.10 'group_element' [51, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.72/1.10 product [55, 3] (w:1, o:56, a:1, s:1, b:0).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 Starting Search:
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 Bliksems!, er is een bewijs:
% 0.72/1.10 % SZS status Unsatisfiable
% 0.72/1.10 % SZS output start Refutation
% 0.72/1.10
% 0.72/1.10 clause( 0, [ next( 'e_0', 'e_1' ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 1, [ next( 'e_1', 'e_2' ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 2, [ next( 'e_2', 'e_3' ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 3, [ next( 'e_3', 'e_4' ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 4, [ greater( 'e_1', 'e_0' ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 5, [ greater( 'e_2', 'e_0' ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 6, [ greater( 'e_3', 'e_0' ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 10, [ greater( 'e_4', 'e_1' ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 11, [ greater( 'e_3', 'e_2' ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 12, [ greater( 'e_4', 'e_2' ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 15, [ cycle( X, 'e_3' ), cycle( X, 'e_0' ), cycle( X, 'e_1' ),
% 0.72/1.10 cycle( X, 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 16, [ cycle( 'e_4', 'e_0' ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 17, [ ~( next( X, Z ) ), ~( greater( Y, 'e_0' ) ), equalish( Y, U )
% 0.72/1.10 , ~( cycle( Z, T ) ), ~( cycle( X, Y ) ), ~( next( T, U ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 18, [ ~( cycle( X, Y ) ), ~( greater( Z, X ) ), ~( greater( Y, U )
% 0.72/1.10 ), ~( cycle( Z, 'e_0' ) ), ~( cycle( T, U ) ), ~( next( Z, T ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 19, [ ~( cycle( X, 'e_0' ) ), ~( product( X, 'e_1', Y ) ), ~(
% 0.72/1.10 greater( Y, X ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 20, [ ~( cycle( X, Y ) ), ~( greater( Y, 'e_0' ) ), ~( product( X,
% 0.72/1.10 'e_1', Z ) ), equalish( Z, T ), ~( next( X, T ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 21, [ 'group_element'( 'e_1' ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 22, [ 'group_element'( 'e_2' ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 23, [ 'group_element'( 'e_3' ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 24, [ 'group_element'( 'e_4' ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 25, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 26, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 27, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 28, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 29, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 30, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 31, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 32, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 33, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 35, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 36, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 37, [ ~( 'group_element'( X ) ), product( X, Y, 'e_4' ), product( X
% 0.72/1.10 , Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ), ~(
% 0.72/1.10 'group_element'( Y ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 38, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y,
% 0.72/1.10 T ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 39, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T,
% 0.72/1.10 Z ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 40, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y,
% 0.72/1.10 Z ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 41, [ product( X, X, X ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 42, [ ~( product( X, Y, Z ) ), product( Z, T, Y ), ~( product( Y, X
% 0.72/1.10 , T ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 61, [ cycle( 'e_1', 'e_0' ), cycle( 'e_1', 'e_1' ), cycle( 'e_1',
% 0.72/1.10 'e_2' ), cycle( 'e_1', 'e_3' ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 62, [ cycle( 'e_2', 'e_0' ), cycle( 'e_2', 'e_1' ), cycle( 'e_2',
% 0.72/1.10 'e_2' ), cycle( 'e_2', 'e_3' ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 63, [ cycle( 'e_3', 'e_0' ), cycle( 'e_3', 'e_1' ), cycle( 'e_3',
% 0.72/1.10 'e_2' ), cycle( 'e_3', 'e_3' ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 65, [ equalish( Z, 'e_3' ), ~( greater( Z, 'e_0' ) ), ~( cycle( Y,
% 0.72/1.10 'e_2' ) ), ~( cycle( X, Z ) ), ~( next( X, Y ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 66, [ equalish( Z, 'e_2' ), ~( greater( Z, 'e_0' ) ), ~( cycle( Y,
% 0.72/1.10 'e_1' ) ), ~( cycle( X, Z ) ), ~( next( X, Y ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 67, [ equalish( Z, 'e_1' ), ~( greater( Z, 'e_0' ) ), ~( cycle( Y,
% 0.72/1.10 'e_0' ) ), ~( cycle( X, Z ) ), ~( next( X, Y ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 72, [ ~( greater( 'e_3', X ) ), ~( cycle( X, Y ) ), ~( cycle( 'e_3'
% 0.72/1.10 , 'e_0' ) ), ~( cycle( 'e_4', Z ) ), ~( greater( Y, Z ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 97, [ ~( product( 'e_1', 'e_1', 'e_4' ) ), ~( cycle( 'e_1', 'e_0' )
% 0.72/1.10 ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 99, [ ~( product( 'e_2', 'e_1', 'e_4' ) ), ~( cycle( 'e_2', 'e_0' )
% 0.72/1.10 ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 102, [ ~( product( 'e_2', 'e_1', Y ) ), ~( cycle( 'e_2', X ) ),
% 0.72/1.10 equalish( Y, 'e_3' ), ~( greater( X, 'e_0' ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 103, [ ~( product( 'e_1', 'e_1', Y ) ), ~( cycle( 'e_1', X ) ),
% 0.72/1.10 equalish( Y, 'e_2' ), ~( greater( X, 'e_0' ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 107, [ product( X, 'e_3', 'e_4' ), product( X, 'e_3', 'e_1' ),
% 0.72/1.10 product( X, 'e_3', 'e_2' ), product( X, 'e_3', 'e_3' ), ~(
% 0.72/1.10 'group_element'( X ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 108, [ product( X, 'e_4', 'e_4' ), product( X, 'e_4', 'e_1' ),
% 0.72/1.10 product( X, 'e_4', 'e_2' ), product( X, 'e_4', 'e_3' ), ~(
% 0.72/1.10 'group_element'( X ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 109, [ equalish( X, Y ), ~( product( Y, Y, X ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 111, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 113, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 144, [ ~( product( 'e_2', 'e_1', X ) ), equalish( X, 'e_3' ), ~(
% 0.72/1.10 cycle( 'e_2', 'e_2' ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 148, [ ~( product( 'e_1', 'e_1', X ) ), equalish( X, 'e_2' ), ~(
% 0.72/1.10 cycle( 'e_1', 'e_1' ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 150, [ ~( product( 'e_1', 'e_1', X ) ), equalish( X, 'e_2' ), ~(
% 0.72/1.10 cycle( 'e_1', 'e_3' ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 152, [ equalish( X, 'e_2' ), cycle( 'e_1', 'e_0' ), cycle( 'e_1',
% 0.72/1.10 'e_1' ), cycle( 'e_1', 'e_2' ), ~( product( 'e_1', 'e_1', X ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 169, [ equalish( X, 'e_3' ), ~( cycle( 'e_2', 'e_2' ) ), ~( cycle(
% 0.72/1.10 'e_1', X ) ), ~( greater( X, 'e_0' ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 174, [ equalish( X, 'e_2' ), ~( cycle( 'e_3', 'e_1' ) ), ~( cycle(
% 0.72/1.10 'e_2', X ) ), ~( greater( X, 'e_0' ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 182, [ equalish( X, 'e_1' ), ~( cycle( 'e_3', X ) ), ~( greater( X
% 0.72/1.10 , 'e_0' ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 184, [ equalish( X, 'e_1' ), ~( cycle( 'e_2', 'e_0' ) ), ~( cycle(
% 0.72/1.10 'e_1', X ) ), ~( greater( X, 'e_0' ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 186, [ ~( cycle( 'e_3', 'e_2' ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 187, [ ~( cycle( 'e_3', 'e_3' ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 189, [ ~( cycle( X, 'e_1' ) ), ~( cycle( 'e_3', 'e_0' ) ), ~(
% 0.72/1.10 greater( 'e_3', X ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 190, [ ~( cycle( X, 'e_2' ) ), ~( cycle( 'e_3', 'e_0' ) ), ~(
% 0.72/1.10 greater( 'e_3', X ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 191, [ ~( cycle( X, 'e_3' ) ), ~( cycle( 'e_3', 'e_0' ) ), ~(
% 0.72/1.10 greater( 'e_3', X ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 195, [ cycle( 'e_3', 'e_0' ), cycle( 'e_3', 'e_1' ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 218, [ ~( cycle( 'e_3', 'e_0' ) ), ~( cycle( 'e_2', 'e_1' ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 231, [ ~( cycle( 'e_3', 'e_0' ) ), ~( cycle( 'e_2', 'e_2' ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 233, [ ~( cycle( 'e_3', 'e_0' ) ), ~( cycle( 'e_2', 'e_3' ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 235, [ cycle( 'e_2', 'e_0' ), cycle( 'e_2', 'e_2' ), ~( cycle(
% 0.72/1.10 'e_3', 'e_0' ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 236, [ cycle( 'e_2', 'e_0' ), ~( cycle( 'e_3', 'e_0' ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 244, [ ~( cycle( 'e_2', 'e_0' ) ), ~( cycle( 'e_1', 'e_2' ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 245, [ ~( cycle( 'e_2', 'e_0' ) ), ~( cycle( 'e_1', 'e_3' ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 247, [ cycle( 'e_1', 'e_0' ), cycle( 'e_1', 'e_1' ), ~( cycle(
% 0.72/1.10 'e_2', 'e_0' ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 249, [ ~( cycle( 'e_3', 'e_1' ) ), ~( cycle( 'e_2', 'e_1' ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 250, [ ~( cycle( 'e_3', 'e_1' ) ), ~( cycle( 'e_2', 'e_3' ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 252, [ cycle( 'e_2', 'e_0' ), cycle( 'e_2', 'e_2' ), ~( cycle(
% 0.72/1.10 'e_3', 'e_1' ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 253, [ cycle( 'e_2', 'e_0' ), cycle( 'e_2', 'e_2' ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 254, [ cycle( 'e_2', 'e_0' ), equalish( X, 'e_3' ), ~( product(
% 0.72/1.10 'e_2', 'e_1', X ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 264, [ ~( cycle( 'e_2', 'e_2' ) ), ~( cycle( 'e_1', 'e_1' ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 265, [ ~( cycle( 'e_2', 'e_2' ) ), ~( cycle( 'e_1', 'e_2' ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 275, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3', 'e_2'
% 0.72/1.10 ), product( 'e_4', 'e_3', 'e_3' ), product( 'e_4', 'e_3', 'e_4' ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 280, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_2'
% 0.72/1.10 ), product( 'e_2', 'e_4', 'e_3' ), product( 'e_2', 'e_4', 'e_4' ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 281, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4', 'e_2'
% 0.72/1.10 ), product( 'e_3', 'e_4', 'e_3' ), product( 'e_3', 'e_4', 'e_4' ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 287, [ cycle( 'e_1', 'e_0' ), cycle( 'e_1', 'e_1' ), cycle( 'e_1',
% 0.72/1.10 'e_2' ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 288, [ cycle( 'e_1', 'e_0' ), ~( cycle( 'e_2', 'e_2' ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 291, [ cycle( 'e_1', 'e_0' ), cycle( 'e_2', 'e_0' ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 292, [ cycle( 'e_1', 'e_0' ), cycle( 'e_1', 'e_1' ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 296, [ cycle( 'e_1', 'e_0' ), equalish( X, 'e_2' ), ~( product(
% 0.72/1.10 'e_1', 'e_1', X ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 299, [ cycle( 'e_1', 'e_0' ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 300, [ ~( product( 'e_1', 'e_1', 'e_4' ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 336, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_2'
% 0.72/1.10 ), product( 'e_2', 'e_4', 'e_3' ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 340, [ product( 'e_2', 'e_4', 'e_1' ), equalish( X, 'e_4' ),
% 0.72/1.10 product( 'e_2', 'e_4', 'e_2' ), ~( product( 'e_2', X, 'e_3' ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 389, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4', 'e_2'
% 0.72/1.10 ), product( 'e_3', 'e_4', 'e_3' ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 394, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4', 'e_2'
% 0.72/1.10 ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 402, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3', 'e_2'
% 0.72/1.10 ), product( 'e_4', 'e_3', 'e_3' ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 406, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3', 'e_2'
% 0.72/1.10 ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 409, [ product( 'e_4', 'e_3', 'e_1' ), product( X, 'e_2', 'e_4' ),
% 0.72/1.10 ~( product( 'e_3', 'e_4', X ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 423, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_3', 'e_4', 'e_1'
% 0.72/1.10 ), product( 'e_2', 'e_2', 'e_4' ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 428, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_3', 'e_4', 'e_1'
% 0.72/1.10 ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 431, [ product( 'e_4', 'e_3', 'e_1' ), product( X, 'e_1', 'e_3' ),
% 0.72/1.10 ~( product( 'e_4', 'e_3', X ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 432, [ equalish( X, 'e_3' ), product( 'e_4', 'e_3', 'e_1' ), ~(
% 0.72/1.10 product( X, 'e_4', 'e_1' ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 444, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_2', 'e_1', 'e_3'
% 0.72/1.10 ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 445, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_2', 'e_4', 'e_1'
% 0.72/1.10 ), product( 'e_2', 'e_4', 'e_2' ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 455, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_2', 'e_4', 'e_1'
% 0.72/1.10 ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 456, [ product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 457, [ product( X, 'e_1', 'e_4' ), ~( product( 'e_3', 'e_4', X ) )
% 0.72/1.10 ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 462, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_2', 'e_1', 'e_4'
% 0.72/1.10 ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 467, [ cycle( 'e_2', 'e_0' ), product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 474, [ cycle( 'e_2', 'e_0' ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 475, [ ~( product( 'e_2', 'e_1', 'e_4' ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 478, [ product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 480, [] )
% 0.72/1.10 .
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 % SZS output end Refutation
% 0.72/1.10 found a proof!
% 0.72/1.10
% 0.72/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.10
% 0.72/1.10 initialclauses(
% 0.72/1.10 [ clause( 482, [ next( 'e_0', 'e_1' ) ] )
% 0.72/1.10 , clause( 483, [ next( 'e_1', 'e_2' ) ] )
% 0.72/1.10 , clause( 484, [ next( 'e_2', 'e_3' ) ] )
% 0.72/1.10 , clause( 485, [ next( 'e_3', 'e_4' ) ] )
% 0.72/1.10 , clause( 486, [ greater( 'e_1', 'e_0' ) ] )
% 0.72/1.10 , clause( 487, [ greater( 'e_2', 'e_0' ) ] )
% 0.72/1.10 , clause( 488, [ greater( 'e_3', 'e_0' ) ] )
% 0.72/1.10 , clause( 489, [ greater( 'e_4', 'e_0' ) ] )
% 0.72/1.10 , clause( 490, [ greater( 'e_2', 'e_1' ) ] )
% 0.72/1.10 , clause( 491, [ greater( 'e_3', 'e_1' ) ] )
% 0.72/1.10 , clause( 492, [ greater( 'e_4', 'e_1' ) ] )
% 0.72/1.10 , clause( 493, [ greater( 'e_3', 'e_2' ) ] )
% 0.72/1.10 , clause( 494, [ greater( 'e_4', 'e_2' ) ] )
% 0.72/1.10 , clause( 495, [ greater( 'e_4', 'e_3' ) ] )
% 0.72/1.10 , clause( 496, [ ~( cycle( X, Y ) ), ~( cycle( X, Z ) ), equalish( Y, Z ) ]
% 0.72/1.10 )
% 0.72/1.10 , clause( 497, [ ~( 'group_element'( X ) ), cycle( X, 'e_0' ), cycle( X,
% 0.72/1.10 'e_1' ), cycle( X, 'e_2' ), cycle( X, 'e_3' ) ] )
% 0.72/1.10 , clause( 498, [ cycle( 'e_4', 'e_0' ) ] )
% 0.72/1.10 , clause( 499, [ ~( cycle( X, Y ) ), ~( cycle( Z, T ) ), ~( next( X, Z ) )
% 0.72/1.10 , ~( greater( Y, 'e_0' ) ), ~( next( T, U ) ), equalish( Y, U ) ] )
% 0.72/1.10 , clause( 500, [ ~( cycle( X, Y ) ), ~( cycle( Z, 'e_0' ) ), ~( cycle( T, U
% 0.72/1.10 ) ), ~( next( Z, T ) ), ~( greater( Z, X ) ), ~( greater( Y, U ) ) ] )
% 0.72/1.10 , clause( 501, [ ~( cycle( X, 'e_0' ) ), ~( product( X, 'e_1', Y ) ), ~(
% 0.72/1.10 greater( Y, X ) ) ] )
% 0.72/1.10 , clause( 502, [ ~( cycle( X, Y ) ), ~( product( X, 'e_1', Z ) ), ~(
% 0.72/1.10 greater( Y, 'e_0' ) ), ~( next( X, T ) ), equalish( Z, T ) ] )
% 0.72/1.10 , clause( 503, [ 'group_element'( 'e_1' ) ] )
% 0.72/1.10 , clause( 504, [ 'group_element'( 'e_2' ) ] )
% 0.72/1.10 , clause( 505, [ 'group_element'( 'e_3' ) ] )
% 0.72/1.10 , clause( 506, [ 'group_element'( 'e_4' ) ] )
% 0.72/1.10 , clause( 507, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.72/1.10 , clause( 508, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.72/1.10 , clause( 509, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.72/1.10 , clause( 510, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.72/1.10 , clause( 511, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.72/1.10 , clause( 512, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 0.72/1.10 , clause( 513, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.72/1.10 , clause( 514, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.72/1.10 , clause( 515, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.72/1.10 , clause( 516, [ ~( equalish( 'e_4', 'e_1' ) ) ] )
% 0.72/1.10 , clause( 517, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.72/1.10 , clause( 518, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.72/1.10 , clause( 519, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.72/1.10 product( X, Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ),
% 0.72/1.10 product( X, Y, 'e_4' ) ] )
% 0.72/1.10 , clause( 520, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish(
% 0.72/1.10 Z, T ) ] )
% 0.72/1.10 , clause( 521, [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish(
% 0.72/1.10 Y, T ) ] )
% 0.72/1.10 , clause( 522, [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish(
% 0.72/1.10 X, T ) ] )
% 0.72/1.10 , clause( 523, [ product( X, X, X ) ] )
% 0.72/1.10 , clause( 524, [ ~( product( X, Y, Z ) ), ~( product( Y, X, T ) ), product(
% 0.72/1.10 Z, T, Y ) ] )
% 0.72/1.10 ] ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 0, [ next( 'e_0', 'e_1' ) ] )
% 0.72/1.10 , clause( 482, [ next( 'e_0', 'e_1' ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 1, [ next( 'e_1', 'e_2' ) ] )
% 0.72/1.10 , clause( 483, [ next( 'e_1', 'e_2' ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 2, [ next( 'e_2', 'e_3' ) ] )
% 0.72/1.10 , clause( 484, [ next( 'e_2', 'e_3' ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 3, [ next( 'e_3', 'e_4' ) ] )
% 0.72/1.10 , clause( 485, [ next( 'e_3', 'e_4' ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 4, [ greater( 'e_1', 'e_0' ) ] )
% 0.72/1.10 , clause( 486, [ greater( 'e_1', 'e_0' ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 5, [ greater( 'e_2', 'e_0' ) ] )
% 0.72/1.10 , clause( 487, [ greater( 'e_2', 'e_0' ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 6, [ greater( 'e_3', 'e_0' ) ] )
% 0.72/1.10 , clause( 488, [ greater( 'e_3', 'e_0' ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 10, [ greater( 'e_4', 'e_1' ) ] )
% 0.72/1.10 , clause( 492, [ greater( 'e_4', 'e_1' ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 11, [ greater( 'e_3', 'e_2' ) ] )
% 0.72/1.10 , clause( 493, [ greater( 'e_3', 'e_2' ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 12, [ greater( 'e_4', 'e_2' ) ] )
% 0.72/1.10 , clause( 494, [ greater( 'e_4', 'e_2' ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 15, [ cycle( X, 'e_3' ), cycle( X, 'e_0' ), cycle( X, 'e_1' ),
% 0.72/1.10 cycle( X, 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.72/1.10 , clause( 497, [ ~( 'group_element'( X ) ), cycle( X, 'e_0' ), cycle( X,
% 0.72/1.10 'e_1' ), cycle( X, 'e_2' ), cycle( X, 'e_3' ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 4 ), ==>( 1,
% 0.72/1.10 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 16, [ cycle( 'e_4', 'e_0' ) ] )
% 0.72/1.10 , clause( 498, [ cycle( 'e_4', 'e_0' ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 17, [ ~( next( X, Z ) ), ~( greater( Y, 'e_0' ) ), equalish( Y, U )
% 0.72/1.10 , ~( cycle( Z, T ) ), ~( cycle( X, Y ) ), ~( next( T, U ) ) ] )
% 0.72/1.10 , clause( 499, [ ~( cycle( X, Y ) ), ~( cycle( Z, T ) ), ~( next( X, Z ) )
% 0.72/1.10 , ~( greater( Y, 'e_0' ) ), ~( next( T, U ) ), equalish( Y, U ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.72/1.10 , U )] ), permutation( 0, [ ==>( 0, 4 ), ==>( 1, 3 ), ==>( 2, 0 ), ==>( 3
% 0.72/1.10 , 1 ), ==>( 4, 5 ), ==>( 5, 2 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 18, [ ~( cycle( X, Y ) ), ~( greater( Z, X ) ), ~( greater( Y, U )
% 0.72/1.10 ), ~( cycle( Z, 'e_0' ) ), ~( cycle( T, U ) ), ~( next( Z, T ) ) ] )
% 0.72/1.10 , clause( 500, [ ~( cycle( X, Y ) ), ~( cycle( Z, 'e_0' ) ), ~( cycle( T, U
% 0.72/1.10 ) ), ~( next( Z, T ) ), ~( greater( Z, X ) ), ~( greater( Y, U ) ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.72/1.10 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 3 ), ==>( 2, 4 ), ==>( 3
% 0.72/1.10 , 5 ), ==>( 4, 1 ), ==>( 5, 2 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 19, [ ~( cycle( X, 'e_0' ) ), ~( product( X, 'e_1', Y ) ), ~(
% 0.72/1.10 greater( Y, X ) ) ] )
% 0.72/1.10 , clause( 501, [ ~( cycle( X, 'e_0' ) ), ~( product( X, 'e_1', Y ) ), ~(
% 0.72/1.10 greater( Y, X ) ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.10 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 20, [ ~( cycle( X, Y ) ), ~( greater( Y, 'e_0' ) ), ~( product( X,
% 0.72/1.10 'e_1', Z ) ), equalish( Z, T ), ~( next( X, T ) ) ] )
% 0.72/1.10 , clause( 502, [ ~( cycle( X, Y ) ), ~( product( X, 'e_1', Z ) ), ~(
% 0.72/1.10 greater( Y, 'e_0' ) ), ~( next( X, T ) ), equalish( Z, T ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.10 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 ), ==>( 3, 4 ),
% 0.72/1.10 ==>( 4, 3 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 21, [ 'group_element'( 'e_1' ) ] )
% 0.72/1.10 , clause( 503, [ 'group_element'( 'e_1' ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 22, [ 'group_element'( 'e_2' ) ] )
% 0.72/1.10 , clause( 504, [ 'group_element'( 'e_2' ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 23, [ 'group_element'( 'e_3' ) ] )
% 0.72/1.10 , clause( 505, [ 'group_element'( 'e_3' ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 24, [ 'group_element'( 'e_4' ) ] )
% 0.72/1.10 , clause( 506, [ 'group_element'( 'e_4' ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 25, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.72/1.10 , clause( 507, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 26, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.72/1.10 , clause( 508, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 27, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.72/1.10 , clause( 509, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 28, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.72/1.10 , clause( 510, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 29, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.72/1.10 , clause( 511, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 30, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 0.72/1.10 , clause( 512, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 31, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.72/1.10 , clause( 513, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 32, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.72/1.10 , clause( 514, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 33, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.72/1.10 , clause( 515, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 35, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.72/1.10 , clause( 517, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 36, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.72/1.10 , clause( 518, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 37, [ ~( 'group_element'( X ) ), product( X, Y, 'e_4' ), product( X
% 0.72/1.10 , Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ), ~(
% 0.72/1.10 'group_element'( Y ) ) ] )
% 0.72/1.10 , clause( 519, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.72/1.10 product( X, Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ),
% 0.72/1.10 product( X, Y, 'e_4' ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.10 ), ==>( 1, 5 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 ), ==>( 5, 1 )] )
% 0.72/1.10 ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 38, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y,
% 0.72/1.10 T ) ) ] )
% 0.72/1.10 , clause( 520, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish(
% 0.72/1.10 Z, T ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.10 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 39, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T,
% 0.72/1.10 Z ) ) ] )
% 0.72/1.10 , clause( 521, [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish(
% 0.72/1.10 Y, T ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.10 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 40, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y,
% 0.72/1.10 Z ) ) ] )
% 0.72/1.10 , clause( 522, [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish(
% 0.72/1.10 X, T ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.10 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 41, [ product( X, X, X ) ] )
% 0.72/1.10 , clause( 523, [ product( X, X, X ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 42, [ ~( product( X, Y, Z ) ), product( Z, T, Y ), ~( product( Y, X
% 0.72/1.10 , T ) ) ] )
% 0.72/1.10 , clause( 524, [ ~( product( X, Y, Z ) ), ~( product( Y, X, T ) ), product(
% 0.72/1.10 Z, T, Y ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.10 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 862, [ cycle( 'e_1', 'e_3' ), cycle( 'e_1', 'e_0' ), cycle( 'e_1',
% 0.72/1.10 'e_1' ), cycle( 'e_1', 'e_2' ) ] )
% 0.72/1.10 , clause( 15, [ cycle( X, 'e_3' ), cycle( X, 'e_0' ), cycle( X, 'e_1' ),
% 0.72/1.10 cycle( X, 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.72/1.10 , 4, clause( 21, [ 'group_element'( 'e_1' ) ] )
% 0.72/1.10 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 61, [ cycle( 'e_1', 'e_0' ), cycle( 'e_1', 'e_1' ), cycle( 'e_1',
% 0.72/1.10 'e_2' ), cycle( 'e_1', 'e_3' ) ] )
% 0.72/1.10 , clause( 862, [ cycle( 'e_1', 'e_3' ), cycle( 'e_1', 'e_0' ), cycle( 'e_1'
% 0.72/1.10 , 'e_1' ), cycle( 'e_1', 'e_2' ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.72/1.10 , 1 ), ==>( 3, 2 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 863, [ cycle( 'e_2', 'e_3' ), cycle( 'e_2', 'e_0' ), cycle( 'e_2',
% 0.72/1.10 'e_1' ), cycle( 'e_2', 'e_2' ) ] )
% 0.72/1.10 , clause( 15, [ cycle( X, 'e_3' ), cycle( X, 'e_0' ), cycle( X, 'e_1' ),
% 0.72/1.10 cycle( X, 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.72/1.10 , 4, clause( 22, [ 'group_element'( 'e_2' ) ] )
% 0.72/1.10 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 62, [ cycle( 'e_2', 'e_0' ), cycle( 'e_2', 'e_1' ), cycle( 'e_2',
% 0.72/1.10 'e_2' ), cycle( 'e_2', 'e_3' ) ] )
% 0.72/1.10 , clause( 863, [ cycle( 'e_2', 'e_3' ), cycle( 'e_2', 'e_0' ), cycle( 'e_2'
% 0.72/1.10 , 'e_1' ), cycle( 'e_2', 'e_2' ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.72/1.10 , 1 ), ==>( 3, 2 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 864, [ cycle( 'e_3', 'e_3' ), cycle( 'e_3', 'e_0' ), cycle( 'e_3',
% 0.72/1.10 'e_1' ), cycle( 'e_3', 'e_2' ) ] )
% 0.72/1.10 , clause( 15, [ cycle( X, 'e_3' ), cycle( X, 'e_0' ), cycle( X, 'e_1' ),
% 0.72/1.10 cycle( X, 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.72/1.10 , 4, clause( 23, [ 'group_element'( 'e_3' ) ] )
% 0.72/1.10 , 0, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 63, [ cycle( 'e_3', 'e_0' ), cycle( 'e_3', 'e_1' ), cycle( 'e_3',
% 0.72/1.10 'e_2' ), cycle( 'e_3', 'e_3' ) ] )
% 0.72/1.10 , clause( 864, [ cycle( 'e_3', 'e_3' ), cycle( 'e_3', 'e_0' ), cycle( 'e_3'
% 0.72/1.10 , 'e_1' ), cycle( 'e_3', 'e_2' ) ] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.72/1.10 , 1 ), ==>( 3, 2 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 866, [ ~( next( X, Y ) ), ~( greater( Z, 'e_0' ) ), equalish( Z,
% 0.72/1.10 'e_3' ), ~( cycle( Y, 'e_2' ) ), ~( cycle( X, Z ) ) ] )
% 0.72/1.10 , clause( 17, [ ~( next( X, Z ) ), ~( greater( Y, 'e_0' ) ), equalish( Y, U
% 0.72/1.10 ), ~( cycle( Z, T ) ), ~( cycle( X, Y ) ), ~( next( T, U ) ) ] )
% 0.72/1.10 , 5, clause( 2, [ next( 'e_2', 'e_3' ) ] )
% 0.72/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y ), :=( T, 'e_2' )
% 0.72/1.10 , :=( U, 'e_3' )] ), substitution( 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 65, [ equalish( Z, 'e_3' ), ~( greater( Z, 'e_0' ) ), ~( cycle( Y,
% 0.72/1.10 'e_2' ) ), ~( cycle( X, Z ) ), ~( next( X, Y ) ) ] )
% 0.72/1.10 , clause( 866, [ ~( next( X, Y ) ), ~( greater( Z, 'e_0' ) ), equalish( Z,
% 0.72/1.10 'e_3' ), ~( cycle( Y, 'e_2' ) ), ~( cycle( X, Z ) ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.10 permutation( 0, [ ==>( 0, 4 ), ==>( 1, 1 ), ==>( 2, 0 ), ==>( 3, 2 ),
% 0.72/1.10 ==>( 4, 3 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 869, [ ~( next( X, Y ) ), ~( greater( Z, 'e_0' ) ), equalish( Z,
% 0.72/1.10 'e_2' ), ~( cycle( Y, 'e_1' ) ), ~( cycle( X, Z ) ) ] )
% 0.72/1.10 , clause( 17, [ ~( next( X, Z ) ), ~( greater( Y, 'e_0' ) ), equalish( Y, U
% 0.72/1.10 ), ~( cycle( Z, T ) ), ~( cycle( X, Y ) ), ~( next( T, U ) ) ] )
% 0.72/1.10 , 5, clause( 1, [ next( 'e_1', 'e_2' ) ] )
% 0.72/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y ), :=( T, 'e_1' )
% 0.72/1.10 , :=( U, 'e_2' )] ), substitution( 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 66, [ equalish( Z, 'e_2' ), ~( greater( Z, 'e_0' ) ), ~( cycle( Y,
% 0.72/1.10 'e_1' ) ), ~( cycle( X, Z ) ), ~( next( X, Y ) ) ] )
% 0.72/1.10 , clause( 869, [ ~( next( X, Y ) ), ~( greater( Z, 'e_0' ) ), equalish( Z,
% 0.72/1.10 'e_2' ), ~( cycle( Y, 'e_1' ) ), ~( cycle( X, Z ) ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.10 permutation( 0, [ ==>( 0, 4 ), ==>( 1, 1 ), ==>( 2, 0 ), ==>( 3, 2 ),
% 0.72/1.10 ==>( 4, 3 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 872, [ ~( next( X, Y ) ), ~( greater( Z, 'e_0' ) ), equalish( Z,
% 0.72/1.10 'e_1' ), ~( cycle( Y, 'e_0' ) ), ~( cycle( X, Z ) ) ] )
% 0.72/1.10 , clause( 17, [ ~( next( X, Z ) ), ~( greater( Y, 'e_0' ) ), equalish( Y, U
% 0.72/1.10 ), ~( cycle( Z, T ) ), ~( cycle( X, Y ) ), ~( next( T, U ) ) ] )
% 0.72/1.10 , 5, clause( 0, [ next( 'e_0', 'e_1' ) ] )
% 0.72/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y ), :=( T, 'e_0' )
% 0.72/1.10 , :=( U, 'e_1' )] ), substitution( 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 67, [ equalish( Z, 'e_1' ), ~( greater( Z, 'e_0' ) ), ~( cycle( Y,
% 0.72/1.10 'e_0' ) ), ~( cycle( X, Z ) ), ~( next( X, Y ) ) ] )
% 0.72/1.10 , clause( 872, [ ~( next( X, Y ) ), ~( greater( Z, 'e_0' ) ), equalish( Z,
% 0.72/1.10 'e_1' ), ~( cycle( Y, 'e_0' ) ), ~( cycle( X, Z ) ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.10 permutation( 0, [ ==>( 0, 4 ), ==>( 1, 1 ), ==>( 2, 0 ), ==>( 3, 2 ),
% 0.72/1.10 ==>( 4, 3 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 874, [ ~( cycle( X, Y ) ), ~( greater( 'e_3', X ) ), ~( greater( Y
% 0.72/1.10 , Z ) ), ~( cycle( 'e_3', 'e_0' ) ), ~( cycle( 'e_4', Z ) ) ] )
% 0.72/1.10 , clause( 18, [ ~( cycle( X, Y ) ), ~( greater( Z, X ) ), ~( greater( Y, U
% 0.72/1.10 ) ), ~( cycle( Z, 'e_0' ) ), ~( cycle( T, U ) ), ~( next( Z, T ) ) ] )
% 0.72/1.10 , 5, clause( 3, [ next( 'e_3', 'e_4' ) ] )
% 0.72/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, 'e_3' ), :=( T,
% 0.72/1.10 'e_4' ), :=( U, Z )] ), substitution( 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 72, [ ~( greater( 'e_3', X ) ), ~( cycle( X, Y ) ), ~( cycle( 'e_3'
% 0.72/1.10 , 'e_0' ) ), ~( cycle( 'e_4', Z ) ), ~( greater( Y, Z ) ) ] )
% 0.72/1.10 , clause( 874, [ ~( cycle( X, Y ) ), ~( greater( 'e_3', X ) ), ~( greater(
% 0.72/1.10 Y, Z ) ), ~( cycle( 'e_3', 'e_0' ) ), ~( cycle( 'e_4', Z ) ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.10 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 4 ), ==>( 3, 2 ),
% 0.72/1.10 ==>( 4, 3 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 resolution(
% 0.72/1.10 clause( 878, [ ~( cycle( 'e_1', 'e_0' ) ), ~( product( 'e_1', 'e_1', 'e_4'
% 0.72/1.10 ) ) ] )
% 0.72/1.10 , clause( 19, [ ~( cycle( X, 'e_0' ) ), ~( product( X, 'e_1', Y ) ), ~(
% 0.72/1.10 greater( Y, X ) ) ] )
% 0.72/1.10 , 2, clause( 10, [ greater( 'e_4', 'e_1' ) ] )
% 0.72/1.10 , 0, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_4' )] ), substitution( 1
% 0.72/1.10 , [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 97, [ ~( product( 'e_1', 'e_1', 'e_4' ) ), ~( cycle( 'e_1', 'e_0' )
% 0.72/1.10 ) ] )
% 0.72/1.10 , clause( 878, [ ~( cycle( 'e_1', 'e_0' ) ), ~( product( 'e_1', 'e_1',
% 0.72/1.11 'e_4' ) ) ] )
% 0.72/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.72/1.11 ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 879, [ ~( cycle( 'e_2', 'e_0' ) ), ~( product( 'e_2', 'e_1', 'e_4'
% 0.72/1.11 ) ) ] )
% 0.72/1.11 , clause( 19, [ ~( cycle( X, 'e_0' ) ), ~( product( X, 'e_1', Y ) ), ~(
% 0.72/1.11 greater( Y, X ) ) ] )
% 0.72/1.11 , 2, clause( 12, [ greater( 'e_4', 'e_2' ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_4' )] ), substitution( 1
% 0.72/1.11 , [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 99, [ ~( product( 'e_2', 'e_1', 'e_4' ) ), ~( cycle( 'e_2', 'e_0' )
% 0.72/1.11 ) ] )
% 0.72/1.11 , clause( 879, [ ~( cycle( 'e_2', 'e_0' ) ), ~( product( 'e_2', 'e_1',
% 0.72/1.11 'e_4' ) ) ] )
% 0.72/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.72/1.11 ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 880, [ ~( cycle( 'e_2', X ) ), ~( greater( X, 'e_0' ) ), ~( product(
% 0.72/1.11 'e_2', 'e_1', Y ) ), equalish( Y, 'e_3' ) ] )
% 0.72/1.11 , clause( 20, [ ~( cycle( X, Y ) ), ~( greater( Y, 'e_0' ) ), ~( product( X
% 0.72/1.11 , 'e_1', Z ) ), equalish( Z, T ), ~( next( X, T ) ) ] )
% 0.72/1.11 , 4, clause( 2, [ next( 'e_2', 'e_3' ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, 'e_2' ), :=( Y, X ), :=( Z, Y ), :=( T,
% 0.72/1.11 'e_3' )] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 102, [ ~( product( 'e_2', 'e_1', Y ) ), ~( cycle( 'e_2', X ) ),
% 0.72/1.11 equalish( Y, 'e_3' ), ~( greater( X, 'e_0' ) ) ] )
% 0.72/1.11 , clause( 880, [ ~( cycle( 'e_2', X ) ), ~( greater( X, 'e_0' ) ), ~(
% 0.72/1.11 product( 'e_2', 'e_1', Y ) ), equalish( Y, 'e_3' ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.72/1.11 ), ==>( 1, 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 881, [ ~( cycle( 'e_1', X ) ), ~( greater( X, 'e_0' ) ), ~( product(
% 0.72/1.11 'e_1', 'e_1', Y ) ), equalish( Y, 'e_2' ) ] )
% 0.72/1.11 , clause( 20, [ ~( cycle( X, Y ) ), ~( greater( Y, 'e_0' ) ), ~( product( X
% 0.72/1.11 , 'e_1', Z ) ), equalish( Z, T ), ~( next( X, T ) ) ] )
% 0.72/1.11 , 4, clause( 1, [ next( 'e_1', 'e_2' ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, 'e_1' ), :=( Y, X ), :=( Z, Y ), :=( T,
% 0.72/1.11 'e_2' )] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 103, [ ~( product( 'e_1', 'e_1', Y ) ), ~( cycle( 'e_1', X ) ),
% 0.72/1.11 equalish( Y, 'e_2' ), ~( greater( X, 'e_0' ) ) ] )
% 0.72/1.11 , clause( 881, [ ~( cycle( 'e_1', X ) ), ~( greater( X, 'e_0' ) ), ~(
% 0.72/1.11 product( 'e_1', 'e_1', Y ) ), equalish( Y, 'e_2' ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.72/1.11 ), ==>( 1, 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 883, [ ~( 'group_element'( X ) ), product( X, 'e_3', 'e_4' ),
% 0.72/1.11 product( X, 'e_3', 'e_1' ), product( X, 'e_3', 'e_2' ), product( X, 'e_3'
% 0.72/1.11 , 'e_3' ) ] )
% 0.72/1.11 , clause( 37, [ ~( 'group_element'( X ) ), product( X, Y, 'e_4' ), product(
% 0.72/1.11 X, Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ), ~(
% 0.72/1.11 'group_element'( Y ) ) ] )
% 0.72/1.11 , 5, clause( 23, [ 'group_element'( 'e_3' ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_3' )] ), substitution( 1, [] )
% 0.72/1.11 ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 107, [ product( X, 'e_3', 'e_4' ), product( X, 'e_3', 'e_1' ),
% 0.72/1.11 product( X, 'e_3', 'e_2' ), product( X, 'e_3', 'e_3' ), ~(
% 0.72/1.11 'group_element'( X ) ) ] )
% 0.72/1.11 , clause( 883, [ ~( 'group_element'( X ) ), product( X, 'e_3', 'e_4' ),
% 0.72/1.11 product( X, 'e_3', 'e_1' ), product( X, 'e_3', 'e_2' ), product( X, 'e_3'
% 0.72/1.11 , 'e_3' ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 4 ), ==>( 1,
% 0.72/1.11 0 ), ==>( 2, 1 ), ==>( 3, 2 ), ==>( 4, 3 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 885, [ ~( 'group_element'( X ) ), product( X, 'e_4', 'e_4' ),
% 0.72/1.11 product( X, 'e_4', 'e_1' ), product( X, 'e_4', 'e_2' ), product( X, 'e_4'
% 0.72/1.11 , 'e_3' ) ] )
% 0.72/1.11 , clause( 37, [ ~( 'group_element'( X ) ), product( X, Y, 'e_4' ), product(
% 0.72/1.11 X, Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ), ~(
% 0.72/1.11 'group_element'( Y ) ) ] )
% 0.72/1.11 , 5, clause( 24, [ 'group_element'( 'e_4' ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_4' )] ), substitution( 1, [] )
% 0.72/1.11 ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 108, [ product( X, 'e_4', 'e_4' ), product( X, 'e_4', 'e_1' ),
% 0.72/1.11 product( X, 'e_4', 'e_2' ), product( X, 'e_4', 'e_3' ), ~(
% 0.72/1.11 'group_element'( X ) ) ] )
% 0.72/1.11 , clause( 885, [ ~( 'group_element'( X ) ), product( X, 'e_4', 'e_4' ),
% 0.72/1.11 product( X, 'e_4', 'e_1' ), product( X, 'e_4', 'e_2' ), product( X, 'e_4'
% 0.72/1.11 , 'e_3' ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 4 ), ==>( 1,
% 0.72/1.11 0 ), ==>( 2, 1 ), ==>( 3, 2 ), ==>( 4, 3 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 887, [ equalish( X, Y ), ~( product( Y, Y, X ) ) ] )
% 0.72/1.11 , clause( 38, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y
% 0.72/1.11 , T ) ) ] )
% 0.72/1.11 , 2, clause( 41, [ product( X, X, X ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Y ), :=( Z, X ), :=( T, Y )] ),
% 0.72/1.11 substitution( 1, [ :=( X, Y )] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 109, [ equalish( X, Y ), ~( product( Y, Y, X ) ) ] )
% 0.72/1.11 , clause( 887, [ equalish( X, Y ), ~( product( Y, Y, X ) ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.11 ), ==>( 1, 1 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 889, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.72/1.11 , clause( 39, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.72/1.11 , Z ) ) ] )
% 0.72/1.11 , 2, clause( 41, [ product( X, X, X ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Y ), :=( T, Y )] ),
% 0.72/1.11 substitution( 1, [ :=( X, Y )] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 111, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.72/1.11 , clause( 889, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.11 ), ==>( 1, 1 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 891, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.72/1.11 , clause( 40, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.72/1.11 , Z ) ) ] )
% 0.72/1.11 , 2, clause( 41, [ product( X, X, X ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, Y )] ),
% 0.72/1.11 substitution( 1, [ :=( X, Y )] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 113, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.72/1.11 , clause( 891, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.11 ), ==>( 1, 1 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 892, [ ~( product( 'e_2', 'e_1', X ) ), ~( cycle( 'e_2', 'e_2' ) )
% 0.72/1.11 , equalish( X, 'e_3' ) ] )
% 0.72/1.11 , clause( 102, [ ~( product( 'e_2', 'e_1', Y ) ), ~( cycle( 'e_2', X ) ),
% 0.72/1.11 equalish( Y, 'e_3' ), ~( greater( X, 'e_0' ) ) ] )
% 0.72/1.11 , 3, clause( 5, [ greater( 'e_2', 'e_0' ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, 'e_2' ), :=( Y, X )] ), substitution( 1, [] )
% 0.72/1.11 ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 144, [ ~( product( 'e_2', 'e_1', X ) ), equalish( X, 'e_3' ), ~(
% 0.72/1.11 cycle( 'e_2', 'e_2' ) ) ] )
% 0.72/1.11 , clause( 892, [ ~( product( 'e_2', 'e_1', X ) ), ~( cycle( 'e_2', 'e_2' )
% 0.72/1.11 ), equalish( X, 'e_3' ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.72/1.11 2 ), ==>( 2, 1 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 893, [ ~( product( 'e_1', 'e_1', X ) ), ~( cycle( 'e_1', 'e_1' ) )
% 0.72/1.11 , equalish( X, 'e_2' ) ] )
% 0.72/1.11 , clause( 103, [ ~( product( 'e_1', 'e_1', Y ) ), ~( cycle( 'e_1', X ) ),
% 0.72/1.11 equalish( Y, 'e_2' ), ~( greater( X, 'e_0' ) ) ] )
% 0.72/1.11 , 3, clause( 4, [ greater( 'e_1', 'e_0' ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, 'e_1' ), :=( Y, X )] ), substitution( 1, [] )
% 0.72/1.11 ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 148, [ ~( product( 'e_1', 'e_1', X ) ), equalish( X, 'e_2' ), ~(
% 0.72/1.11 cycle( 'e_1', 'e_1' ) ) ] )
% 0.72/1.11 , clause( 893, [ ~( product( 'e_1', 'e_1', X ) ), ~( cycle( 'e_1', 'e_1' )
% 0.72/1.11 ), equalish( X, 'e_2' ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.72/1.11 2 ), ==>( 2, 1 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 894, [ ~( product( 'e_1', 'e_1', X ) ), ~( cycle( 'e_1', 'e_3' ) )
% 0.72/1.11 , equalish( X, 'e_2' ) ] )
% 0.72/1.11 , clause( 103, [ ~( product( 'e_1', 'e_1', Y ) ), ~( cycle( 'e_1', X ) ),
% 0.72/1.11 equalish( Y, 'e_2' ), ~( greater( X, 'e_0' ) ) ] )
% 0.72/1.11 , 3, clause( 6, [ greater( 'e_3', 'e_0' ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, 'e_3' ), :=( Y, X )] ), substitution( 1, [] )
% 0.72/1.11 ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 150, [ ~( product( 'e_1', 'e_1', X ) ), equalish( X, 'e_2' ), ~(
% 0.72/1.11 cycle( 'e_1', 'e_3' ) ) ] )
% 0.72/1.11 , clause( 894, [ ~( product( 'e_1', 'e_1', X ) ), ~( cycle( 'e_1', 'e_3' )
% 0.72/1.11 ), equalish( X, 'e_2' ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.72/1.11 2 ), ==>( 2, 1 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 895, [ ~( product( 'e_1', 'e_1', X ) ), equalish( X, 'e_2' ), cycle(
% 0.72/1.11 'e_1', 'e_0' ), cycle( 'e_1', 'e_1' ), cycle( 'e_1', 'e_2' ) ] )
% 0.72/1.11 , clause( 150, [ ~( product( 'e_1', 'e_1', X ) ), equalish( X, 'e_2' ), ~(
% 0.72/1.11 cycle( 'e_1', 'e_3' ) ) ] )
% 0.72/1.11 , 2, clause( 61, [ cycle( 'e_1', 'e_0' ), cycle( 'e_1', 'e_1' ), cycle(
% 0.72/1.11 'e_1', 'e_2' ), cycle( 'e_1', 'e_3' ) ] )
% 0.72/1.11 , 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 152, [ equalish( X, 'e_2' ), cycle( 'e_1', 'e_0' ), cycle( 'e_1',
% 0.72/1.11 'e_1' ), cycle( 'e_1', 'e_2' ), ~( product( 'e_1', 'e_1', X ) ) ] )
% 0.72/1.11 , clause( 895, [ ~( product( 'e_1', 'e_1', X ) ), equalish( X, 'e_2' ),
% 0.72/1.11 cycle( 'e_1', 'e_0' ), cycle( 'e_1', 'e_1' ), cycle( 'e_1', 'e_2' ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 4 ), ==>( 1,
% 0.72/1.11 0 ), ==>( 2, 1 ), ==>( 3, 2 ), ==>( 4, 3 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 896, [ equalish( X, 'e_3' ), ~( greater( X, 'e_0' ) ), ~( cycle(
% 0.72/1.11 'e_2', 'e_2' ) ), ~( cycle( 'e_1', X ) ) ] )
% 0.72/1.11 , clause( 65, [ equalish( Z, 'e_3' ), ~( greater( Z, 'e_0' ) ), ~( cycle( Y
% 0.72/1.11 , 'e_2' ) ), ~( cycle( X, Z ) ), ~( next( X, Y ) ) ] )
% 0.72/1.11 , 4, clause( 1, [ next( 'e_1', 'e_2' ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_2' ), :=( Z, X )] ),
% 0.72/1.11 substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 169, [ equalish( X, 'e_3' ), ~( cycle( 'e_2', 'e_2' ) ), ~( cycle(
% 0.72/1.11 'e_1', X ) ), ~( greater( X, 'e_0' ) ) ] )
% 0.72/1.11 , clause( 896, [ equalish( X, 'e_3' ), ~( greater( X, 'e_0' ) ), ~( cycle(
% 0.72/1.11 'e_2', 'e_2' ) ), ~( cycle( 'e_1', X ) ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.72/1.11 3 ), ==>( 2, 1 ), ==>( 3, 2 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 897, [ equalish( X, 'e_2' ), ~( greater( X, 'e_0' ) ), ~( cycle(
% 0.72/1.11 'e_3', 'e_1' ) ), ~( cycle( 'e_2', X ) ) ] )
% 0.72/1.11 , clause( 66, [ equalish( Z, 'e_2' ), ~( greater( Z, 'e_0' ) ), ~( cycle( Y
% 0.72/1.11 , 'e_1' ) ), ~( cycle( X, Z ) ), ~( next( X, Y ) ) ] )
% 0.72/1.11 , 4, clause( 2, [ next( 'e_2', 'e_3' ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_3' ), :=( Z, X )] ),
% 0.72/1.11 substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 174, [ equalish( X, 'e_2' ), ~( cycle( 'e_3', 'e_1' ) ), ~( cycle(
% 0.72/1.11 'e_2', X ) ), ~( greater( X, 'e_0' ) ) ] )
% 0.72/1.11 , clause( 897, [ equalish( X, 'e_2' ), ~( greater( X, 'e_0' ) ), ~( cycle(
% 0.72/1.11 'e_3', 'e_1' ) ), ~( cycle( 'e_2', X ) ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.72/1.11 3 ), ==>( 2, 1 ), ==>( 3, 2 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 898, [ equalish( X, 'e_1' ), ~( greater( X, 'e_0' ) ), ~( cycle(
% 0.72/1.11 'e_4', 'e_0' ) ), ~( cycle( 'e_3', X ) ) ] )
% 0.72/1.11 , clause( 67, [ equalish( Z, 'e_1' ), ~( greater( Z, 'e_0' ) ), ~( cycle( Y
% 0.72/1.11 , 'e_0' ) ), ~( cycle( X, Z ) ), ~( next( X, Y ) ) ] )
% 0.72/1.11 , 4, clause( 3, [ next( 'e_3', 'e_4' ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_4' ), :=( Z, X )] ),
% 0.72/1.11 substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 899, [ equalish( X, 'e_1' ), ~( greater( X, 'e_0' ) ), ~( cycle(
% 0.72/1.11 'e_3', X ) ) ] )
% 0.72/1.11 , clause( 898, [ equalish( X, 'e_1' ), ~( greater( X, 'e_0' ) ), ~( cycle(
% 0.72/1.11 'e_4', 'e_0' ) ), ~( cycle( 'e_3', X ) ) ] )
% 0.72/1.11 , 2, clause( 16, [ cycle( 'e_4', 'e_0' ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 182, [ equalish( X, 'e_1' ), ~( cycle( 'e_3', X ) ), ~( greater( X
% 0.72/1.11 , 'e_0' ) ) ] )
% 0.72/1.11 , clause( 899, [ equalish( X, 'e_1' ), ~( greater( X, 'e_0' ) ), ~( cycle(
% 0.72/1.11 'e_3', X ) ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.72/1.11 2 ), ==>( 2, 1 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 900, [ equalish( X, 'e_1' ), ~( greater( X, 'e_0' ) ), ~( cycle(
% 0.72/1.11 'e_2', 'e_0' ) ), ~( cycle( 'e_1', X ) ) ] )
% 0.72/1.11 , clause( 67, [ equalish( Z, 'e_1' ), ~( greater( Z, 'e_0' ) ), ~( cycle( Y
% 0.72/1.11 , 'e_0' ) ), ~( cycle( X, Z ) ), ~( next( X, Y ) ) ] )
% 0.72/1.11 , 4, clause( 1, [ next( 'e_1', 'e_2' ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_2' ), :=( Z, X )] ),
% 0.72/1.11 substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 184, [ equalish( X, 'e_1' ), ~( cycle( 'e_2', 'e_0' ) ), ~( cycle(
% 0.72/1.11 'e_1', X ) ), ~( greater( X, 'e_0' ) ) ] )
% 0.72/1.11 , clause( 900, [ equalish( X, 'e_1' ), ~( greater( X, 'e_0' ) ), ~( cycle(
% 0.72/1.11 'e_2', 'e_0' ) ), ~( cycle( 'e_1', X ) ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.72/1.11 3 ), ==>( 2, 1 ), ==>( 3, 2 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 901, [ equalish( 'e_2', 'e_1' ), ~( cycle( 'e_3', 'e_2' ) ) ] )
% 0.72/1.11 , clause( 182, [ equalish( X, 'e_1' ), ~( cycle( 'e_3', X ) ), ~( greater(
% 0.72/1.11 X, 'e_0' ) ) ] )
% 0.72/1.11 , 2, clause( 5, [ greater( 'e_2', 'e_0' ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 902, [ ~( cycle( 'e_3', 'e_2' ) ) ] )
% 0.72/1.11 , clause( 28, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.72/1.11 , 0, clause( 901, [ equalish( 'e_2', 'e_1' ), ~( cycle( 'e_3', 'e_2' ) ) ]
% 0.72/1.11 )
% 0.72/1.11 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 186, [ ~( cycle( 'e_3', 'e_2' ) ) ] )
% 0.72/1.11 , clause( 902, [ ~( cycle( 'e_3', 'e_2' ) ) ] )
% 0.72/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 903, [ equalish( 'e_3', 'e_1' ), ~( cycle( 'e_3', 'e_3' ) ) ] )
% 0.72/1.11 , clause( 182, [ equalish( X, 'e_1' ), ~( cycle( 'e_3', X ) ), ~( greater(
% 0.72/1.11 X, 'e_0' ) ) ] )
% 0.72/1.11 , 2, clause( 6, [ greater( 'e_3', 'e_0' ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 904, [ ~( cycle( 'e_3', 'e_3' ) ) ] )
% 0.72/1.11 , clause( 31, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.72/1.11 , 0, clause( 903, [ equalish( 'e_3', 'e_1' ), ~( cycle( 'e_3', 'e_3' ) ) ]
% 0.72/1.11 )
% 0.72/1.11 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 187, [ ~( cycle( 'e_3', 'e_3' ) ) ] )
% 0.72/1.11 , clause( 904, [ ~( cycle( 'e_3', 'e_3' ) ) ] )
% 0.72/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 905, [ ~( greater( 'e_3', X ) ), ~( cycle( X, 'e_1' ) ), ~( cycle(
% 0.72/1.11 'e_3', 'e_0' ) ), ~( cycle( 'e_4', 'e_0' ) ) ] )
% 0.72/1.11 , clause( 72, [ ~( greater( 'e_3', X ) ), ~( cycle( X, Y ) ), ~( cycle(
% 0.72/1.11 'e_3', 'e_0' ) ), ~( cycle( 'e_4', Z ) ), ~( greater( Y, Z ) ) ] )
% 0.72/1.11 , 4, clause( 4, [ greater( 'e_1', 'e_0' ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_1' ), :=( Z, 'e_0' )] ),
% 0.72/1.11 substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 906, [ ~( greater( 'e_3', X ) ), ~( cycle( X, 'e_1' ) ), ~( cycle(
% 0.72/1.11 'e_3', 'e_0' ) ) ] )
% 0.72/1.11 , clause( 905, [ ~( greater( 'e_3', X ) ), ~( cycle( X, 'e_1' ) ), ~( cycle(
% 0.72/1.11 'e_3', 'e_0' ) ), ~( cycle( 'e_4', 'e_0' ) ) ] )
% 0.72/1.11 , 3, clause( 16, [ cycle( 'e_4', 'e_0' ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 189, [ ~( cycle( X, 'e_1' ) ), ~( cycle( 'e_3', 'e_0' ) ), ~(
% 0.72/1.11 greater( 'e_3', X ) ) ] )
% 0.72/1.11 , clause( 906, [ ~( greater( 'e_3', X ) ), ~( cycle( X, 'e_1' ) ), ~( cycle(
% 0.72/1.11 'e_3', 'e_0' ) ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.72/1.11 0 ), ==>( 2, 1 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 907, [ ~( greater( 'e_3', X ) ), ~( cycle( X, 'e_2' ) ), ~( cycle(
% 0.72/1.11 'e_3', 'e_0' ) ), ~( cycle( 'e_4', 'e_0' ) ) ] )
% 0.72/1.11 , clause( 72, [ ~( greater( 'e_3', X ) ), ~( cycle( X, Y ) ), ~( cycle(
% 0.72/1.11 'e_3', 'e_0' ) ), ~( cycle( 'e_4', Z ) ), ~( greater( Y, Z ) ) ] )
% 0.72/1.11 , 4, clause( 5, [ greater( 'e_2', 'e_0' ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_2' ), :=( Z, 'e_0' )] ),
% 0.72/1.11 substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 908, [ ~( greater( 'e_3', X ) ), ~( cycle( X, 'e_2' ) ), ~( cycle(
% 0.72/1.11 'e_3', 'e_0' ) ) ] )
% 0.72/1.11 , clause( 907, [ ~( greater( 'e_3', X ) ), ~( cycle( X, 'e_2' ) ), ~( cycle(
% 0.72/1.11 'e_3', 'e_0' ) ), ~( cycle( 'e_4', 'e_0' ) ) ] )
% 0.72/1.11 , 3, clause( 16, [ cycle( 'e_4', 'e_0' ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 190, [ ~( cycle( X, 'e_2' ) ), ~( cycle( 'e_3', 'e_0' ) ), ~(
% 0.72/1.11 greater( 'e_3', X ) ) ] )
% 0.72/1.11 , clause( 908, [ ~( greater( 'e_3', X ) ), ~( cycle( X, 'e_2' ) ), ~( cycle(
% 0.72/1.11 'e_3', 'e_0' ) ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.72/1.11 0 ), ==>( 2, 1 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 910, [ ~( greater( 'e_3', X ) ), ~( cycle( X, 'e_3' ) ), ~( cycle(
% 0.72/1.11 'e_3', 'e_0' ) ), ~( cycle( 'e_4', 'e_0' ) ) ] )
% 0.72/1.11 , clause( 72, [ ~( greater( 'e_3', X ) ), ~( cycle( X, Y ) ), ~( cycle(
% 0.72/1.11 'e_3', 'e_0' ) ), ~( cycle( 'e_4', Z ) ), ~( greater( Y, Z ) ) ] )
% 0.72/1.11 , 4, clause( 6, [ greater( 'e_3', 'e_0' ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_3' ), :=( Z, 'e_0' )] ),
% 0.72/1.11 substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 911, [ ~( greater( 'e_3', X ) ), ~( cycle( X, 'e_3' ) ), ~( cycle(
% 0.72/1.11 'e_3', 'e_0' ) ) ] )
% 0.72/1.11 , clause( 910, [ ~( greater( 'e_3', X ) ), ~( cycle( X, 'e_3' ) ), ~( cycle(
% 0.72/1.11 'e_3', 'e_0' ) ), ~( cycle( 'e_4', 'e_0' ) ) ] )
% 0.72/1.11 , 3, clause( 16, [ cycle( 'e_4', 'e_0' ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 191, [ ~( cycle( X, 'e_3' ) ), ~( cycle( 'e_3', 'e_0' ) ), ~(
% 0.72/1.11 greater( 'e_3', X ) ) ] )
% 0.72/1.11 , clause( 911, [ ~( greater( 'e_3', X ) ), ~( cycle( X, 'e_3' ) ), ~( cycle(
% 0.72/1.11 'e_3', 'e_0' ) ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.72/1.11 0 ), ==>( 2, 1 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 912, [ cycle( 'e_3', 'e_0' ), cycle( 'e_3', 'e_1' ), cycle( 'e_3',
% 0.72/1.11 'e_2' ) ] )
% 0.72/1.11 , clause( 187, [ ~( cycle( 'e_3', 'e_3' ) ) ] )
% 0.72/1.11 , 0, clause( 63, [ cycle( 'e_3', 'e_0' ), cycle( 'e_3', 'e_1' ), cycle(
% 0.72/1.11 'e_3', 'e_2' ), cycle( 'e_3', 'e_3' ) ] )
% 0.72/1.11 , 3, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 913, [ cycle( 'e_3', 'e_0' ), cycle( 'e_3', 'e_1' ) ] )
% 0.72/1.11 , clause( 186, [ ~( cycle( 'e_3', 'e_2' ) ) ] )
% 0.72/1.11 , 0, clause( 912, [ cycle( 'e_3', 'e_0' ), cycle( 'e_3', 'e_1' ), cycle(
% 0.72/1.11 'e_3', 'e_2' ) ] )
% 0.72/1.11 , 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 195, [ cycle( 'e_3', 'e_0' ), cycle( 'e_3', 'e_1' ) ] )
% 0.72/1.11 , clause( 913, [ cycle( 'e_3', 'e_0' ), cycle( 'e_3', 'e_1' ) ] )
% 0.72/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.11 ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 914, [ ~( cycle( 'e_2', 'e_1' ) ), ~( cycle( 'e_3', 'e_0' ) ) ] )
% 0.72/1.11 , clause( 189, [ ~( cycle( X, 'e_1' ) ), ~( cycle( 'e_3', 'e_0' ) ), ~(
% 0.72/1.11 greater( 'e_3', X ) ) ] )
% 0.72/1.11 , 2, clause( 11, [ greater( 'e_3', 'e_2' ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 218, [ ~( cycle( 'e_3', 'e_0' ) ), ~( cycle( 'e_2', 'e_1' ) ) ] )
% 0.72/1.11 , clause( 914, [ ~( cycle( 'e_2', 'e_1' ) ), ~( cycle( 'e_3', 'e_0' ) ) ]
% 0.72/1.11 )
% 0.72/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.72/1.11 ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 915, [ ~( cycle( 'e_2', 'e_2' ) ), ~( cycle( 'e_3', 'e_0' ) ) ] )
% 0.72/1.11 , clause( 190, [ ~( cycle( X, 'e_2' ) ), ~( cycle( 'e_3', 'e_0' ) ), ~(
% 0.72/1.11 greater( 'e_3', X ) ) ] )
% 0.72/1.11 , 2, clause( 11, [ greater( 'e_3', 'e_2' ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 231, [ ~( cycle( 'e_3', 'e_0' ) ), ~( cycle( 'e_2', 'e_2' ) ) ] )
% 0.72/1.11 , clause( 915, [ ~( cycle( 'e_2', 'e_2' ) ), ~( cycle( 'e_3', 'e_0' ) ) ]
% 0.72/1.11 )
% 0.72/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.72/1.11 ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 916, [ ~( cycle( 'e_2', 'e_3' ) ), ~( cycle( 'e_3', 'e_0' ) ) ] )
% 0.72/1.11 , clause( 191, [ ~( cycle( X, 'e_3' ) ), ~( cycle( 'e_3', 'e_0' ) ), ~(
% 0.72/1.11 greater( 'e_3', X ) ) ] )
% 0.72/1.11 , 2, clause( 11, [ greater( 'e_3', 'e_2' ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 233, [ ~( cycle( 'e_3', 'e_0' ) ), ~( cycle( 'e_2', 'e_3' ) ) ] )
% 0.72/1.11 , clause( 916, [ ~( cycle( 'e_2', 'e_3' ) ), ~( cycle( 'e_3', 'e_0' ) ) ]
% 0.72/1.11 )
% 0.72/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.72/1.11 ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 917, [ ~( cycle( 'e_3', 'e_0' ) ), cycle( 'e_2', 'e_0' ), cycle(
% 0.72/1.11 'e_2', 'e_1' ), cycle( 'e_2', 'e_2' ) ] )
% 0.72/1.11 , clause( 233, [ ~( cycle( 'e_3', 'e_0' ) ), ~( cycle( 'e_2', 'e_3' ) ) ]
% 0.72/1.11 )
% 0.72/1.11 , 1, clause( 62, [ cycle( 'e_2', 'e_0' ), cycle( 'e_2', 'e_1' ), cycle(
% 0.72/1.11 'e_2', 'e_2' ), cycle( 'e_2', 'e_3' ) ] )
% 0.72/1.11 , 3, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 918, [ ~( cycle( 'e_3', 'e_0' ) ), ~( cycle( 'e_3', 'e_0' ) ),
% 0.72/1.11 cycle( 'e_2', 'e_0' ), cycle( 'e_2', 'e_2' ) ] )
% 0.72/1.11 , clause( 218, [ ~( cycle( 'e_3', 'e_0' ) ), ~( cycle( 'e_2', 'e_1' ) ) ]
% 0.72/1.11 )
% 0.72/1.11 , 1, clause( 917, [ ~( cycle( 'e_3', 'e_0' ) ), cycle( 'e_2', 'e_0' ),
% 0.72/1.11 cycle( 'e_2', 'e_1' ), cycle( 'e_2', 'e_2' ) ] )
% 0.72/1.11 , 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 factor(
% 0.72/1.11 clause( 919, [ ~( cycle( 'e_3', 'e_0' ) ), cycle( 'e_2', 'e_0' ), cycle(
% 0.72/1.11 'e_2', 'e_2' ) ] )
% 0.72/1.11 , clause( 918, [ ~( cycle( 'e_3', 'e_0' ) ), ~( cycle( 'e_3', 'e_0' ) ),
% 0.72/1.11 cycle( 'e_2', 'e_0' ), cycle( 'e_2', 'e_2' ) ] )
% 0.72/1.11 , 0, 1, substitution( 0, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 235, [ cycle( 'e_2', 'e_0' ), cycle( 'e_2', 'e_2' ), ~( cycle(
% 0.72/1.11 'e_3', 'e_0' ) ) ] )
% 0.72/1.11 , clause( 919, [ ~( cycle( 'e_3', 'e_0' ) ), cycle( 'e_2', 'e_0' ), cycle(
% 0.72/1.11 'e_2', 'e_2' ) ] )
% 0.72/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.72/1.11 , 1 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 920, [ ~( cycle( 'e_3', 'e_0' ) ), cycle( 'e_2', 'e_0' ), ~( cycle(
% 0.72/1.11 'e_3', 'e_0' ) ) ] )
% 0.72/1.11 , clause( 231, [ ~( cycle( 'e_3', 'e_0' ) ), ~( cycle( 'e_2', 'e_2' ) ) ]
% 0.72/1.11 )
% 0.72/1.11 , 1, clause( 235, [ cycle( 'e_2', 'e_0' ), cycle( 'e_2', 'e_2' ), ~( cycle(
% 0.72/1.11 'e_3', 'e_0' ) ) ] )
% 0.72/1.11 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 factor(
% 0.72/1.11 clause( 921, [ ~( cycle( 'e_3', 'e_0' ) ), cycle( 'e_2', 'e_0' ) ] )
% 0.72/1.11 , clause( 920, [ ~( cycle( 'e_3', 'e_0' ) ), cycle( 'e_2', 'e_0' ), ~(
% 0.72/1.11 cycle( 'e_3', 'e_0' ) ) ] )
% 0.72/1.11 , 0, 2, substitution( 0, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 236, [ cycle( 'e_2', 'e_0' ), ~( cycle( 'e_3', 'e_0' ) ) ] )
% 0.72/1.11 , clause( 921, [ ~( cycle( 'e_3', 'e_0' ) ), cycle( 'e_2', 'e_0' ) ] )
% 0.72/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.72/1.11 ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 922, [ equalish( 'e_2', 'e_1' ), ~( cycle( 'e_2', 'e_0' ) ), ~(
% 0.72/1.11 cycle( 'e_1', 'e_2' ) ) ] )
% 0.72/1.11 , clause( 184, [ equalish( X, 'e_1' ), ~( cycle( 'e_2', 'e_0' ) ), ~( cycle(
% 0.72/1.11 'e_1', X ) ), ~( greater( X, 'e_0' ) ) ] )
% 0.72/1.11 , 3, clause( 5, [ greater( 'e_2', 'e_0' ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 923, [ ~( cycle( 'e_2', 'e_0' ) ), ~( cycle( 'e_1', 'e_2' ) ) ] )
% 0.72/1.11 , clause( 28, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.72/1.11 , 0, clause( 922, [ equalish( 'e_2', 'e_1' ), ~( cycle( 'e_2', 'e_0' ) ),
% 0.72/1.11 ~( cycle( 'e_1', 'e_2' ) ) ] )
% 0.72/1.11 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 244, [ ~( cycle( 'e_2', 'e_0' ) ), ~( cycle( 'e_1', 'e_2' ) ) ] )
% 0.72/1.11 , clause( 923, [ ~( cycle( 'e_2', 'e_0' ) ), ~( cycle( 'e_1', 'e_2' ) ) ]
% 0.72/1.11 )
% 0.72/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.11 ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 924, [ equalish( 'e_3', 'e_1' ), ~( cycle( 'e_2', 'e_0' ) ), ~(
% 0.72/1.11 cycle( 'e_1', 'e_3' ) ) ] )
% 0.72/1.11 , clause( 184, [ equalish( X, 'e_1' ), ~( cycle( 'e_2', 'e_0' ) ), ~( cycle(
% 0.72/1.11 'e_1', X ) ), ~( greater( X, 'e_0' ) ) ] )
% 0.72/1.11 , 3, clause( 6, [ greater( 'e_3', 'e_0' ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 925, [ ~( cycle( 'e_2', 'e_0' ) ), ~( cycle( 'e_1', 'e_3' ) ) ] )
% 0.72/1.11 , clause( 31, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.72/1.11 , 0, clause( 924, [ equalish( 'e_3', 'e_1' ), ~( cycle( 'e_2', 'e_0' ) ),
% 0.72/1.11 ~( cycle( 'e_1', 'e_3' ) ) ] )
% 0.72/1.11 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 245, [ ~( cycle( 'e_2', 'e_0' ) ), ~( cycle( 'e_1', 'e_3' ) ) ] )
% 0.72/1.11 , clause( 925, [ ~( cycle( 'e_2', 'e_0' ) ), ~( cycle( 'e_1', 'e_3' ) ) ]
% 0.72/1.11 )
% 0.72/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.11 ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 926, [ ~( cycle( 'e_2', 'e_0' ) ), cycle( 'e_1', 'e_0' ), cycle(
% 0.72/1.11 'e_1', 'e_1' ), cycle( 'e_1', 'e_2' ) ] )
% 0.72/1.11 , clause( 245, [ ~( cycle( 'e_2', 'e_0' ) ), ~( cycle( 'e_1', 'e_3' ) ) ]
% 0.72/1.11 )
% 0.72/1.11 , 1, clause( 61, [ cycle( 'e_1', 'e_0' ), cycle( 'e_1', 'e_1' ), cycle(
% 0.72/1.11 'e_1', 'e_2' ), cycle( 'e_1', 'e_3' ) ] )
% 0.72/1.11 , 3, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 927, [ ~( cycle( 'e_2', 'e_0' ) ), ~( cycle( 'e_2', 'e_0' ) ),
% 0.72/1.11 cycle( 'e_1', 'e_0' ), cycle( 'e_1', 'e_1' ) ] )
% 0.72/1.11 , clause( 244, [ ~( cycle( 'e_2', 'e_0' ) ), ~( cycle( 'e_1', 'e_2' ) ) ]
% 0.72/1.11 )
% 0.72/1.11 , 1, clause( 926, [ ~( cycle( 'e_2', 'e_0' ) ), cycle( 'e_1', 'e_0' ),
% 0.72/1.11 cycle( 'e_1', 'e_1' ), cycle( 'e_1', 'e_2' ) ] )
% 0.72/1.11 , 3, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 factor(
% 0.72/1.11 clause( 928, [ ~( cycle( 'e_2', 'e_0' ) ), cycle( 'e_1', 'e_0' ), cycle(
% 0.72/1.11 'e_1', 'e_1' ) ] )
% 0.72/1.11 , clause( 927, [ ~( cycle( 'e_2', 'e_0' ) ), ~( cycle( 'e_2', 'e_0' ) ),
% 0.72/1.11 cycle( 'e_1', 'e_0' ), cycle( 'e_1', 'e_1' ) ] )
% 0.72/1.11 , 0, 1, substitution( 0, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 247, [ cycle( 'e_1', 'e_0' ), cycle( 'e_1', 'e_1' ), ~( cycle(
% 0.72/1.11 'e_2', 'e_0' ) ) ] )
% 0.72/1.11 , clause( 928, [ ~( cycle( 'e_2', 'e_0' ) ), cycle( 'e_1', 'e_0' ), cycle(
% 0.72/1.11 'e_1', 'e_1' ) ] )
% 0.72/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.72/1.11 , 1 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 929, [ equalish( 'e_1', 'e_2' ), ~( cycle( 'e_3', 'e_1' ) ), ~(
% 0.72/1.11 cycle( 'e_2', 'e_1' ) ) ] )
% 0.72/1.11 , clause( 174, [ equalish( X, 'e_2' ), ~( cycle( 'e_3', 'e_1' ) ), ~( cycle(
% 0.72/1.11 'e_2', X ) ), ~( greater( X, 'e_0' ) ) ] )
% 0.72/1.11 , 3, clause( 4, [ greater( 'e_1', 'e_0' ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 930, [ ~( cycle( 'e_3', 'e_1' ) ), ~( cycle( 'e_2', 'e_1' ) ) ] )
% 0.72/1.11 , clause( 25, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.72/1.11 , 0, clause( 929, [ equalish( 'e_1', 'e_2' ), ~( cycle( 'e_3', 'e_1' ) ),
% 0.72/1.11 ~( cycle( 'e_2', 'e_1' ) ) ] )
% 0.72/1.11 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 249, [ ~( cycle( 'e_3', 'e_1' ) ), ~( cycle( 'e_2', 'e_1' ) ) ] )
% 0.72/1.11 , clause( 930, [ ~( cycle( 'e_3', 'e_1' ) ), ~( cycle( 'e_2', 'e_1' ) ) ]
% 0.72/1.11 )
% 0.72/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.11 ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 931, [ equalish( 'e_3', 'e_2' ), ~( cycle( 'e_3', 'e_1' ) ), ~(
% 0.72/1.11 cycle( 'e_2', 'e_3' ) ) ] )
% 0.72/1.11 , clause( 174, [ equalish( X, 'e_2' ), ~( cycle( 'e_3', 'e_1' ) ), ~( cycle(
% 0.72/1.11 'e_2', X ) ), ~( greater( X, 'e_0' ) ) ] )
% 0.72/1.11 , 3, clause( 6, [ greater( 'e_3', 'e_0' ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 932, [ ~( cycle( 'e_3', 'e_1' ) ), ~( cycle( 'e_2', 'e_3' ) ) ] )
% 0.72/1.11 , clause( 32, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.72/1.11 , 0, clause( 931, [ equalish( 'e_3', 'e_2' ), ~( cycle( 'e_3', 'e_1' ) ),
% 0.72/1.11 ~( cycle( 'e_2', 'e_3' ) ) ] )
% 0.72/1.11 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 250, [ ~( cycle( 'e_3', 'e_1' ) ), ~( cycle( 'e_2', 'e_3' ) ) ] )
% 0.72/1.11 , clause( 932, [ ~( cycle( 'e_3', 'e_1' ) ), ~( cycle( 'e_2', 'e_3' ) ) ]
% 0.72/1.11 )
% 0.72/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.11 ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 933, [ ~( cycle( 'e_3', 'e_1' ) ), cycle( 'e_2', 'e_0' ), cycle(
% 0.72/1.11 'e_2', 'e_1' ), cycle( 'e_2', 'e_2' ) ] )
% 0.72/1.11 , clause( 250, [ ~( cycle( 'e_3', 'e_1' ) ), ~( cycle( 'e_2', 'e_3' ) ) ]
% 0.72/1.11 )
% 0.72/1.11 , 1, clause( 62, [ cycle( 'e_2', 'e_0' ), cycle( 'e_2', 'e_1' ), cycle(
% 0.72/1.11 'e_2', 'e_2' ), cycle( 'e_2', 'e_3' ) ] )
% 0.72/1.11 , 3, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 934, [ ~( cycle( 'e_3', 'e_1' ) ), ~( cycle( 'e_3', 'e_1' ) ),
% 0.72/1.11 cycle( 'e_2', 'e_0' ), cycle( 'e_2', 'e_2' ) ] )
% 0.72/1.11 , clause( 249, [ ~( cycle( 'e_3', 'e_1' ) ), ~( cycle( 'e_2', 'e_1' ) ) ]
% 0.72/1.11 )
% 0.72/1.11 , 1, clause( 933, [ ~( cycle( 'e_3', 'e_1' ) ), cycle( 'e_2', 'e_0' ),
% 0.72/1.11 cycle( 'e_2', 'e_1' ), cycle( 'e_2', 'e_2' ) ] )
% 0.72/1.11 , 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 factor(
% 0.72/1.11 clause( 935, [ ~( cycle( 'e_3', 'e_1' ) ), cycle( 'e_2', 'e_0' ), cycle(
% 0.72/1.11 'e_2', 'e_2' ) ] )
% 0.72/1.11 , clause( 934, [ ~( cycle( 'e_3', 'e_1' ) ), ~( cycle( 'e_3', 'e_1' ) ),
% 0.72/1.11 cycle( 'e_2', 'e_0' ), cycle( 'e_2', 'e_2' ) ] )
% 0.72/1.11 , 0, 1, substitution( 0, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 252, [ cycle( 'e_2', 'e_0' ), cycle( 'e_2', 'e_2' ), ~( cycle(
% 0.72/1.11 'e_3', 'e_1' ) ) ] )
% 0.72/1.11 , clause( 935, [ ~( cycle( 'e_3', 'e_1' ) ), cycle( 'e_2', 'e_0' ), cycle(
% 0.72/1.11 'e_2', 'e_2' ) ] )
% 0.72/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.72/1.11 , 1 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 936, [ cycle( 'e_2', 'e_0' ), cycle( 'e_2', 'e_2' ), cycle( 'e_3',
% 0.72/1.11 'e_0' ) ] )
% 0.72/1.11 , clause( 252, [ cycle( 'e_2', 'e_0' ), cycle( 'e_2', 'e_2' ), ~( cycle(
% 0.72/1.11 'e_3', 'e_1' ) ) ] )
% 0.72/1.11 , 2, clause( 195, [ cycle( 'e_3', 'e_0' ), cycle( 'e_3', 'e_1' ) ] )
% 0.72/1.11 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 937, [ cycle( 'e_2', 'e_0' ), cycle( 'e_2', 'e_0' ), cycle( 'e_2',
% 0.72/1.11 'e_2' ) ] )
% 0.72/1.11 , clause( 236, [ cycle( 'e_2', 'e_0' ), ~( cycle( 'e_3', 'e_0' ) ) ] )
% 0.72/1.11 , 1, clause( 936, [ cycle( 'e_2', 'e_0' ), cycle( 'e_2', 'e_2' ), cycle(
% 0.72/1.11 'e_3', 'e_0' ) ] )
% 0.72/1.11 , 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 factor(
% 0.72/1.11 clause( 938, [ cycle( 'e_2', 'e_0' ), cycle( 'e_2', 'e_2' ) ] )
% 0.72/1.11 , clause( 937, [ cycle( 'e_2', 'e_0' ), cycle( 'e_2', 'e_0' ), cycle( 'e_2'
% 0.72/1.11 , 'e_2' ) ] )
% 0.72/1.11 , 0, 1, substitution( 0, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 253, [ cycle( 'e_2', 'e_0' ), cycle( 'e_2', 'e_2' ) ] )
% 0.72/1.11 , clause( 938, [ cycle( 'e_2', 'e_0' ), cycle( 'e_2', 'e_2' ) ] )
% 0.72/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.11 ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 939, [ ~( product( 'e_2', 'e_1', X ) ), equalish( X, 'e_3' ), cycle(
% 0.72/1.11 'e_2', 'e_0' ) ] )
% 0.72/1.11 , clause( 144, [ ~( product( 'e_2', 'e_1', X ) ), equalish( X, 'e_3' ), ~(
% 0.72/1.11 cycle( 'e_2', 'e_2' ) ) ] )
% 0.72/1.11 , 2, clause( 253, [ cycle( 'e_2', 'e_0' ), cycle( 'e_2', 'e_2' ) ] )
% 0.72/1.11 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 254, [ cycle( 'e_2', 'e_0' ), equalish( X, 'e_3' ), ~( product(
% 0.72/1.11 'e_2', 'e_1', X ) ) ] )
% 0.72/1.11 , clause( 939, [ ~( product( 'e_2', 'e_1', X ) ), equalish( X, 'e_3' ),
% 0.72/1.11 cycle( 'e_2', 'e_0' ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.72/1.11 1 ), ==>( 2, 0 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 940, [ equalish( 'e_1', 'e_3' ), ~( cycle( 'e_2', 'e_2' ) ), ~(
% 0.72/1.11 cycle( 'e_1', 'e_1' ) ) ] )
% 0.72/1.11 , clause( 169, [ equalish( X, 'e_3' ), ~( cycle( 'e_2', 'e_2' ) ), ~( cycle(
% 0.72/1.11 'e_1', X ) ), ~( greater( X, 'e_0' ) ) ] )
% 0.72/1.11 , 3, clause( 4, [ greater( 'e_1', 'e_0' ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 941, [ ~( cycle( 'e_2', 'e_2' ) ), ~( cycle( 'e_1', 'e_1' ) ) ] )
% 0.72/1.11 , clause( 26, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.72/1.11 , 0, clause( 940, [ equalish( 'e_1', 'e_3' ), ~( cycle( 'e_2', 'e_2' ) ),
% 0.72/1.11 ~( cycle( 'e_1', 'e_1' ) ) ] )
% 0.72/1.11 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 264, [ ~( cycle( 'e_2', 'e_2' ) ), ~( cycle( 'e_1', 'e_1' ) ) ] )
% 0.72/1.11 , clause( 941, [ ~( cycle( 'e_2', 'e_2' ) ), ~( cycle( 'e_1', 'e_1' ) ) ]
% 0.72/1.11 )
% 0.72/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.11 ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 942, [ equalish( 'e_2', 'e_3' ), ~( cycle( 'e_2', 'e_2' ) ), ~(
% 0.72/1.11 cycle( 'e_1', 'e_2' ) ) ] )
% 0.72/1.11 , clause( 169, [ equalish( X, 'e_3' ), ~( cycle( 'e_2', 'e_2' ) ), ~( cycle(
% 0.72/1.11 'e_1', X ) ), ~( greater( X, 'e_0' ) ) ] )
% 0.72/1.11 , 3, clause( 5, [ greater( 'e_2', 'e_0' ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 943, [ ~( cycle( 'e_2', 'e_2' ) ), ~( cycle( 'e_1', 'e_2' ) ) ] )
% 0.72/1.11 , clause( 29, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.72/1.11 , 0, clause( 942, [ equalish( 'e_2', 'e_3' ), ~( cycle( 'e_2', 'e_2' ) ),
% 0.72/1.11 ~( cycle( 'e_1', 'e_2' ) ) ] )
% 0.72/1.11 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 265, [ ~( cycle( 'e_2', 'e_2' ) ), ~( cycle( 'e_1', 'e_2' ) ) ] )
% 0.72/1.11 , clause( 943, [ ~( cycle( 'e_2', 'e_2' ) ), ~( cycle( 'e_1', 'e_2' ) ) ]
% 0.72/1.11 )
% 0.72/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.11 ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 944, [ product( 'e_4', 'e_3', 'e_4' ), product( 'e_4', 'e_3', 'e_1'
% 0.72/1.11 ), product( 'e_4', 'e_3', 'e_2' ), product( 'e_4', 'e_3', 'e_3' ) ] )
% 0.72/1.11 , clause( 107, [ product( X, 'e_3', 'e_4' ), product( X, 'e_3', 'e_1' ),
% 0.72/1.11 product( X, 'e_3', 'e_2' ), product( X, 'e_3', 'e_3' ), ~(
% 0.72/1.11 'group_element'( X ) ) ] )
% 0.72/1.11 , 4, clause( 24, [ 'group_element'( 'e_4' ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, 'e_4' )] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 275, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3', 'e_2'
% 0.72/1.11 ), product( 'e_4', 'e_3', 'e_3' ), product( 'e_4', 'e_3', 'e_4' ) ] )
% 0.72/1.11 , clause( 944, [ product( 'e_4', 'e_3', 'e_4' ), product( 'e_4', 'e_3',
% 0.72/1.11 'e_1' ), product( 'e_4', 'e_3', 'e_2' ), product( 'e_4', 'e_3', 'e_3' ) ]
% 0.72/1.11 )
% 0.72/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.72/1.11 , 1 ), ==>( 3, 2 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 945, [ product( 'e_2', 'e_4', 'e_4' ), product( 'e_2', 'e_4', 'e_1'
% 0.72/1.11 ), product( 'e_2', 'e_4', 'e_2' ), product( 'e_2', 'e_4', 'e_3' ) ] )
% 0.72/1.11 , clause( 108, [ product( X, 'e_4', 'e_4' ), product( X, 'e_4', 'e_1' ),
% 0.72/1.11 product( X, 'e_4', 'e_2' ), product( X, 'e_4', 'e_3' ), ~(
% 0.72/1.11 'group_element'( X ) ) ] )
% 0.72/1.11 , 4, clause( 22, [ 'group_element'( 'e_2' ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 280, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_2'
% 0.72/1.11 ), product( 'e_2', 'e_4', 'e_3' ), product( 'e_2', 'e_4', 'e_4' ) ] )
% 0.72/1.11 , clause( 945, [ product( 'e_2', 'e_4', 'e_4' ), product( 'e_2', 'e_4',
% 0.72/1.11 'e_1' ), product( 'e_2', 'e_4', 'e_2' ), product( 'e_2', 'e_4', 'e_3' ) ]
% 0.72/1.11 )
% 0.72/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.72/1.11 , 1 ), ==>( 3, 2 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 946, [ product( 'e_3', 'e_4', 'e_4' ), product( 'e_3', 'e_4', 'e_1'
% 0.72/1.11 ), product( 'e_3', 'e_4', 'e_2' ), product( 'e_3', 'e_4', 'e_3' ) ] )
% 0.72/1.11 , clause( 108, [ product( X, 'e_4', 'e_4' ), product( X, 'e_4', 'e_1' ),
% 0.72/1.11 product( X, 'e_4', 'e_2' ), product( X, 'e_4', 'e_3' ), ~(
% 0.72/1.11 'group_element'( X ) ) ] )
% 0.72/1.11 , 4, clause( 23, [ 'group_element'( 'e_3' ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 281, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4', 'e_2'
% 0.72/1.11 ), product( 'e_3', 'e_4', 'e_3' ), product( 'e_3', 'e_4', 'e_4' ) ] )
% 0.72/1.11 , clause( 946, [ product( 'e_3', 'e_4', 'e_4' ), product( 'e_3', 'e_4',
% 0.72/1.11 'e_1' ), product( 'e_3', 'e_4', 'e_2' ), product( 'e_3', 'e_4', 'e_3' ) ]
% 0.72/1.11 )
% 0.72/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.72/1.11 , 1 ), ==>( 3, 2 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 947, [ equalish( 'e_1', 'e_2' ), cycle( 'e_1', 'e_0' ), cycle(
% 0.72/1.11 'e_1', 'e_1' ), cycle( 'e_1', 'e_2' ) ] )
% 0.72/1.11 , clause( 152, [ equalish( X, 'e_2' ), cycle( 'e_1', 'e_0' ), cycle( 'e_1'
% 0.72/1.11 , 'e_1' ), cycle( 'e_1', 'e_2' ), ~( product( 'e_1', 'e_1', X ) ) ] )
% 0.72/1.11 , 4, clause( 41, [ product( X, X, X ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [ :=( X, 'e_1'
% 0.72/1.11 )] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 948, [ cycle( 'e_1', 'e_0' ), cycle( 'e_1', 'e_1' ), cycle( 'e_1',
% 0.72/1.11 'e_2' ) ] )
% 0.72/1.11 , clause( 25, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.72/1.11 , 0, clause( 947, [ equalish( 'e_1', 'e_2' ), cycle( 'e_1', 'e_0' ), cycle(
% 0.72/1.11 'e_1', 'e_1' ), cycle( 'e_1', 'e_2' ) ] )
% 0.72/1.11 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 287, [ cycle( 'e_1', 'e_0' ), cycle( 'e_1', 'e_1' ), cycle( 'e_1',
% 0.72/1.11 'e_2' ) ] )
% 0.72/1.11 , clause( 948, [ cycle( 'e_1', 'e_0' ), cycle( 'e_1', 'e_1' ), cycle( 'e_1'
% 0.72/1.11 , 'e_2' ) ] )
% 0.72/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.72/1.11 , 2 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 949, [ ~( cycle( 'e_2', 'e_2' ) ), cycle( 'e_1', 'e_0' ), cycle(
% 0.72/1.11 'e_1', 'e_1' ) ] )
% 0.72/1.11 , clause( 265, [ ~( cycle( 'e_2', 'e_2' ) ), ~( cycle( 'e_1', 'e_2' ) ) ]
% 0.72/1.11 )
% 0.72/1.11 , 1, clause( 287, [ cycle( 'e_1', 'e_0' ), cycle( 'e_1', 'e_1' ), cycle(
% 0.72/1.11 'e_1', 'e_2' ) ] )
% 0.72/1.11 , 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 950, [ ~( cycle( 'e_2', 'e_2' ) ), ~( cycle( 'e_2', 'e_2' ) ),
% 0.72/1.11 cycle( 'e_1', 'e_0' ) ] )
% 0.72/1.11 , clause( 264, [ ~( cycle( 'e_2', 'e_2' ) ), ~( cycle( 'e_1', 'e_1' ) ) ]
% 0.72/1.11 )
% 0.72/1.11 , 1, clause( 949, [ ~( cycle( 'e_2', 'e_2' ) ), cycle( 'e_1', 'e_0' ),
% 0.72/1.11 cycle( 'e_1', 'e_1' ) ] )
% 0.72/1.11 , 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 factor(
% 0.72/1.11 clause( 951, [ ~( cycle( 'e_2', 'e_2' ) ), cycle( 'e_1', 'e_0' ) ] )
% 0.72/1.11 , clause( 950, [ ~( cycle( 'e_2', 'e_2' ) ), ~( cycle( 'e_2', 'e_2' ) ),
% 0.72/1.11 cycle( 'e_1', 'e_0' ) ] )
% 0.72/1.11 , 0, 1, substitution( 0, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 288, [ cycle( 'e_1', 'e_0' ), ~( cycle( 'e_2', 'e_2' ) ) ] )
% 0.72/1.11 , clause( 951, [ ~( cycle( 'e_2', 'e_2' ) ), cycle( 'e_1', 'e_0' ) ] )
% 0.72/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.72/1.11 ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 952, [ cycle( 'e_1', 'e_0' ), cycle( 'e_2', 'e_0' ) ] )
% 0.72/1.11 , clause( 288, [ cycle( 'e_1', 'e_0' ), ~( cycle( 'e_2', 'e_2' ) ) ] )
% 0.72/1.11 , 1, clause( 253, [ cycle( 'e_2', 'e_0' ), cycle( 'e_2', 'e_2' ) ] )
% 0.72/1.11 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 291, [ cycle( 'e_1', 'e_0' ), cycle( 'e_2', 'e_0' ) ] )
% 0.72/1.11 , clause( 952, [ cycle( 'e_1', 'e_0' ), cycle( 'e_2', 'e_0' ) ] )
% 0.72/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.11 ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 953, [ cycle( 'e_1', 'e_0' ), cycle( 'e_1', 'e_1' ), cycle( 'e_1',
% 0.72/1.11 'e_0' ) ] )
% 0.72/1.11 , clause( 247, [ cycle( 'e_1', 'e_0' ), cycle( 'e_1', 'e_1' ), ~( cycle(
% 0.72/1.11 'e_2', 'e_0' ) ) ] )
% 0.72/1.11 , 2, clause( 291, [ cycle( 'e_1', 'e_0' ), cycle( 'e_2', 'e_0' ) ] )
% 0.72/1.11 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 factor(
% 0.72/1.11 clause( 954, [ cycle( 'e_1', 'e_0' ), cycle( 'e_1', 'e_1' ) ] )
% 0.72/1.11 , clause( 953, [ cycle( 'e_1', 'e_0' ), cycle( 'e_1', 'e_1' ), cycle( 'e_1'
% 0.72/1.11 , 'e_0' ) ] )
% 0.72/1.11 , 0, 2, substitution( 0, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 292, [ cycle( 'e_1', 'e_0' ), cycle( 'e_1', 'e_1' ) ] )
% 0.72/1.11 , clause( 954, [ cycle( 'e_1', 'e_0' ), cycle( 'e_1', 'e_1' ) ] )
% 0.72/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.11 ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 955, [ ~( product( 'e_1', 'e_1', X ) ), equalish( X, 'e_2' ), cycle(
% 0.72/1.11 'e_1', 'e_0' ) ] )
% 0.72/1.11 , clause( 148, [ ~( product( 'e_1', 'e_1', X ) ), equalish( X, 'e_2' ), ~(
% 0.72/1.11 cycle( 'e_1', 'e_1' ) ) ] )
% 0.72/1.11 , 2, clause( 292, [ cycle( 'e_1', 'e_0' ), cycle( 'e_1', 'e_1' ) ] )
% 0.72/1.11 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 296, [ cycle( 'e_1', 'e_0' ), equalish( X, 'e_2' ), ~( product(
% 0.72/1.11 'e_1', 'e_1', X ) ) ] )
% 0.72/1.11 , clause( 955, [ ~( product( 'e_1', 'e_1', X ) ), equalish( X, 'e_2' ),
% 0.72/1.11 cycle( 'e_1', 'e_0' ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.72/1.11 1 ), ==>( 2, 0 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 956, [ cycle( 'e_1', 'e_0' ), equalish( 'e_1', 'e_2' ) ] )
% 0.72/1.11 , clause( 296, [ cycle( 'e_1', 'e_0' ), equalish( X, 'e_2' ), ~( product(
% 0.72/1.11 'e_1', 'e_1', X ) ) ] )
% 0.72/1.11 , 2, clause( 41, [ product( X, X, X ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [ :=( X, 'e_1'
% 0.72/1.11 )] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 957, [ cycle( 'e_1', 'e_0' ) ] )
% 0.72/1.11 , clause( 25, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.72/1.11 , 0, clause( 956, [ cycle( 'e_1', 'e_0' ), equalish( 'e_1', 'e_2' ) ] )
% 0.72/1.11 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 299, [ cycle( 'e_1', 'e_0' ) ] )
% 0.72/1.11 , clause( 957, [ cycle( 'e_1', 'e_0' ) ] )
% 0.72/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 958, [ ~( product( 'e_1', 'e_1', 'e_4' ) ) ] )
% 0.72/1.11 , clause( 97, [ ~( product( 'e_1', 'e_1', 'e_4' ) ), ~( cycle( 'e_1', 'e_0'
% 0.72/1.11 ) ) ] )
% 0.72/1.11 , 1, clause( 299, [ cycle( 'e_1', 'e_0' ) ] )
% 0.72/1.11 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 300, [ ~( product( 'e_1', 'e_1', 'e_4' ) ) ] )
% 0.72/1.11 , clause( 958, [ ~( product( 'e_1', 'e_1', 'e_4' ) ) ] )
% 0.72/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 959, [ equalish( 'e_2', 'e_4' ), product( 'e_2', 'e_4', 'e_1' ),
% 0.72/1.11 product( 'e_2', 'e_4', 'e_2' ), product( 'e_2', 'e_4', 'e_3' ) ] )
% 0.72/1.11 , clause( 113, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.72/1.11 , 1, clause( 280, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4',
% 0.72/1.11 'e_2' ), product( 'e_2', 'e_4', 'e_3' ), product( 'e_2', 'e_4', 'e_4' ) ]
% 0.72/1.11 )
% 0.72/1.11 , 3, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_4' )] ), substitution( 1
% 0.72/1.11 , [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 960, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_2'
% 0.72/1.11 ), product( 'e_2', 'e_4', 'e_3' ) ] )
% 0.72/1.11 , clause( 30, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 0.72/1.11 , 0, clause( 959, [ equalish( 'e_2', 'e_4' ), product( 'e_2', 'e_4', 'e_1'
% 0.72/1.11 ), product( 'e_2', 'e_4', 'e_2' ), product( 'e_2', 'e_4', 'e_3' ) ] )
% 0.72/1.11 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 336, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_2'
% 0.72/1.11 ), product( 'e_2', 'e_4', 'e_3' ) ] )
% 0.72/1.11 , clause( 960, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4',
% 0.72/1.11 'e_2' ), product( 'e_2', 'e_4', 'e_3' ) ] )
% 0.72/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.72/1.11 , 2 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 966, [ equalish( X, 'e_4' ), ~( product( 'e_2', X, 'e_3' ) ),
% 0.72/1.11 product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_2' ) ] )
% 0.72/1.11 , clause( 39, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.72/1.11 , Z ) ) ] )
% 0.72/1.11 , 2, clause( 336, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4',
% 0.72/1.11 'e_2' ), product( 'e_2', 'e_4', 'e_3' ) ] )
% 0.72/1.11 , 2, substitution( 0, [ :=( X, 'e_2' ), :=( Y, X ), :=( Z, 'e_3' ), :=( T,
% 0.72/1.11 'e_4' )] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 340, [ product( 'e_2', 'e_4', 'e_1' ), equalish( X, 'e_4' ),
% 0.72/1.11 product( 'e_2', 'e_4', 'e_2' ), ~( product( 'e_2', X, 'e_3' ) ) ] )
% 0.72/1.11 , clause( 966, [ equalish( X, 'e_4' ), ~( product( 'e_2', X, 'e_3' ) ),
% 0.72/1.11 product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_2' ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.72/1.11 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 967, [ equalish( 'e_3', 'e_4' ), product( 'e_3', 'e_4', 'e_1' ),
% 0.72/1.11 product( 'e_3', 'e_4', 'e_2' ), product( 'e_3', 'e_4', 'e_3' ) ] )
% 0.72/1.11 , clause( 113, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.72/1.11 , 1, clause( 281, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4',
% 0.72/1.11 'e_2' ), product( 'e_3', 'e_4', 'e_3' ), product( 'e_3', 'e_4', 'e_4' ) ]
% 0.72/1.11 )
% 0.72/1.11 , 3, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_4' )] ), substitution( 1
% 0.72/1.11 , [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 968, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4', 'e_2'
% 0.72/1.11 ), product( 'e_3', 'e_4', 'e_3' ) ] )
% 0.72/1.11 , clause( 33, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.72/1.11 , 0, clause( 967, [ equalish( 'e_3', 'e_4' ), product( 'e_3', 'e_4', 'e_1'
% 0.72/1.11 ), product( 'e_3', 'e_4', 'e_2' ), product( 'e_3', 'e_4', 'e_3' ) ] )
% 0.72/1.11 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 389, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4', 'e_2'
% 0.72/1.11 ), product( 'e_3', 'e_4', 'e_3' ) ] )
% 0.72/1.11 , clause( 968, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4',
% 0.72/1.11 'e_2' ), product( 'e_3', 'e_4', 'e_3' ) ] )
% 0.72/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.72/1.11 , 2 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 969, [ equalish( 'e_4', 'e_3' ), product( 'e_3', 'e_4', 'e_1' ),
% 0.72/1.11 product( 'e_3', 'e_4', 'e_2' ) ] )
% 0.72/1.11 , clause( 111, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.72/1.11 , 1, clause( 389, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4',
% 0.72/1.11 'e_2' ), product( 'e_3', 'e_4', 'e_3' ) ] )
% 0.72/1.11 , 2, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_3' )] ), substitution( 1
% 0.72/1.11 , [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 970, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4', 'e_2'
% 0.72/1.11 ) ] )
% 0.72/1.11 , clause( 36, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.72/1.11 , 0, clause( 969, [ equalish( 'e_4', 'e_3' ), product( 'e_3', 'e_4', 'e_1'
% 0.72/1.11 ), product( 'e_3', 'e_4', 'e_2' ) ] )
% 0.72/1.11 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 394, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4', 'e_2'
% 0.72/1.11 ) ] )
% 0.72/1.11 , clause( 970, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4',
% 0.72/1.11 'e_2' ) ] )
% 0.72/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.11 ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 971, [ equalish( 'e_3', 'e_4' ), product( 'e_4', 'e_3', 'e_1' ),
% 0.72/1.11 product( 'e_4', 'e_3', 'e_2' ), product( 'e_4', 'e_3', 'e_3' ) ] )
% 0.72/1.11 , clause( 111, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.72/1.11 , 1, clause( 275, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3',
% 0.72/1.11 'e_2' ), product( 'e_4', 'e_3', 'e_3' ), product( 'e_4', 'e_3', 'e_4' ) ]
% 0.72/1.11 )
% 0.72/1.11 , 3, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_4' )] ), substitution( 1
% 0.72/1.11 , [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 972, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3', 'e_2'
% 0.72/1.11 ), product( 'e_4', 'e_3', 'e_3' ) ] )
% 0.72/1.11 , clause( 33, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.72/1.11 , 0, clause( 971, [ equalish( 'e_3', 'e_4' ), product( 'e_4', 'e_3', 'e_1'
% 0.72/1.11 ), product( 'e_4', 'e_3', 'e_2' ), product( 'e_4', 'e_3', 'e_3' ) ] )
% 0.72/1.11 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 402, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3', 'e_2'
% 0.72/1.11 ), product( 'e_4', 'e_3', 'e_3' ) ] )
% 0.72/1.11 , clause( 972, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3',
% 0.72/1.11 'e_2' ), product( 'e_4', 'e_3', 'e_3' ) ] )
% 0.72/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.72/1.11 , 2 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 973, [ equalish( 'e_4', 'e_3' ), product( 'e_4', 'e_3', 'e_1' ),
% 0.72/1.11 product( 'e_4', 'e_3', 'e_2' ) ] )
% 0.72/1.11 , clause( 113, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.72/1.11 , 1, clause( 402, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3',
% 0.72/1.11 'e_2' ), product( 'e_4', 'e_3', 'e_3' ) ] )
% 0.72/1.11 , 2, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_3' )] ), substitution( 1
% 0.72/1.11 , [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 974, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3', 'e_2'
% 0.72/1.11 ) ] )
% 0.72/1.11 , clause( 36, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.72/1.11 , 0, clause( 973, [ equalish( 'e_4', 'e_3' ), product( 'e_4', 'e_3', 'e_1'
% 0.72/1.11 ), product( 'e_4', 'e_3', 'e_2' ) ] )
% 0.72/1.11 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 406, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3', 'e_2'
% 0.72/1.11 ) ] )
% 0.72/1.11 , clause( 974, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3',
% 0.72/1.11 'e_2' ) ] )
% 0.72/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.11 ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 978, [ ~( product( 'e_3', 'e_4', X ) ), product( X, 'e_2', 'e_4' )
% 0.72/1.11 , product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.11 , clause( 42, [ ~( product( X, Y, Z ) ), product( Z, T, Y ), ~( product( Y
% 0.72/1.11 , X, T ) ) ] )
% 0.72/1.11 , 2, clause( 406, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3',
% 0.72/1.11 'e_2' ) ] )
% 0.72/1.11 , 1, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_4' ), :=( Z, X ), :=( T,
% 0.72/1.11 'e_2' )] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 409, [ product( 'e_4', 'e_3', 'e_1' ), product( X, 'e_2', 'e_4' ),
% 0.72/1.11 ~( product( 'e_3', 'e_4', X ) ) ] )
% 0.72/1.11 , clause( 978, [ ~( product( 'e_3', 'e_4', X ) ), product( X, 'e_2', 'e_4'
% 0.72/1.11 ), product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.72/1.11 1 ), ==>( 2, 0 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 980, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_2', 'e_2', 'e_4'
% 0.72/1.11 ), product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.72/1.11 , clause( 409, [ product( 'e_4', 'e_3', 'e_1' ), product( X, 'e_2', 'e_4' )
% 0.72/1.11 , ~( product( 'e_3', 'e_4', X ) ) ] )
% 0.72/1.11 , 2, clause( 394, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4',
% 0.72/1.11 'e_2' ) ] )
% 0.72/1.11 , 1, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 423, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_3', 'e_4', 'e_1'
% 0.72/1.11 ), product( 'e_2', 'e_2', 'e_4' ) ] )
% 0.72/1.11 , clause( 980, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_2', 'e_2',
% 0.72/1.11 'e_4' ), product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.72/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2
% 0.72/1.11 , 1 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 981, [ equalish( 'e_4', 'e_2' ), product( 'e_4', 'e_3', 'e_1' ),
% 0.72/1.11 product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.72/1.11 , clause( 109, [ equalish( X, Y ), ~( product( Y, Y, X ) ) ] )
% 0.72/1.11 , 1, clause( 423, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_3', 'e_4',
% 0.72/1.11 'e_1' ), product( 'e_2', 'e_2', 'e_4' ) ] )
% 0.72/1.11 , 2, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_2' )] ), substitution( 1
% 0.72/1.11 , [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 982, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_3', 'e_4', 'e_1'
% 0.72/1.11 ) ] )
% 0.72/1.11 , clause( 35, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.72/1.11 , 0, clause( 981, [ equalish( 'e_4', 'e_2' ), product( 'e_4', 'e_3', 'e_1'
% 0.72/1.11 ), product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.72/1.11 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 428, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_3', 'e_4', 'e_1'
% 0.72/1.11 ) ] )
% 0.72/1.11 , clause( 982, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_3', 'e_4',
% 0.72/1.11 'e_1' ) ] )
% 0.72/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.11 ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 986, [ ~( product( 'e_4', 'e_3', X ) ), product( X, 'e_1', 'e_3' )
% 0.72/1.11 , product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.11 , clause( 42, [ ~( product( X, Y, Z ) ), product( Z, T, Y ), ~( product( Y
% 0.72/1.11 , X, T ) ) ] )
% 0.72/1.11 , 2, clause( 428, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_3', 'e_4',
% 0.72/1.11 'e_1' ) ] )
% 0.72/1.11 , 1, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_3' ), :=( Z, X ), :=( T,
% 0.72/1.11 'e_1' )] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 431, [ product( 'e_4', 'e_3', 'e_1' ), product( X, 'e_1', 'e_3' ),
% 0.72/1.11 ~( product( 'e_4', 'e_3', X ) ) ] )
% 0.72/1.11 , clause( 986, [ ~( product( 'e_4', 'e_3', X ) ), product( X, 'e_1', 'e_3'
% 0.72/1.11 ), product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.72/1.11 1 ), ==>( 2, 0 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 990, [ equalish( X, 'e_3' ), ~( product( X, 'e_4', 'e_1' ) ),
% 0.72/1.11 product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.11 , clause( 40, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.72/1.11 , Z ) ) ] )
% 0.72/1.11 , 2, clause( 428, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_3', 'e_4',
% 0.72/1.11 'e_1' ) ] )
% 0.72/1.11 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'e_4' ), :=( Z, 'e_1' ), :=( T,
% 0.72/1.11 'e_3' )] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 432, [ equalish( X, 'e_3' ), product( 'e_4', 'e_3', 'e_1' ), ~(
% 0.72/1.11 product( X, 'e_4', 'e_1' ) ) ] )
% 0.72/1.11 , clause( 990, [ equalish( X, 'e_3' ), ~( product( X, 'e_4', 'e_1' ) ),
% 0.72/1.11 product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.72/1.11 2 ), ==>( 2, 1 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 992, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_2', 'e_1', 'e_3'
% 0.72/1.11 ), product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.11 , clause( 431, [ product( 'e_4', 'e_3', 'e_1' ), product( X, 'e_1', 'e_3' )
% 0.72/1.11 , ~( product( 'e_4', 'e_3', X ) ) ] )
% 0.72/1.11 , 2, clause( 406, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3',
% 0.72/1.11 'e_2' ) ] )
% 0.72/1.11 , 1, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 factor(
% 0.72/1.11 clause( 993, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_2', 'e_1', 'e_3'
% 0.72/1.11 ) ] )
% 0.72/1.11 , clause( 992, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_2', 'e_1',
% 0.72/1.11 'e_3' ), product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.11 , 0, 2, substitution( 0, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 444, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_2', 'e_1', 'e_3'
% 0.72/1.11 ) ] )
% 0.72/1.11 , clause( 993, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_2', 'e_1',
% 0.72/1.11 'e_3' ) ] )
% 0.72/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.11 ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 994, [ product( 'e_2', 'e_4', 'e_1' ), equalish( 'e_1', 'e_4' ),
% 0.72/1.11 product( 'e_2', 'e_4', 'e_2' ), product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.11 , clause( 340, [ product( 'e_2', 'e_4', 'e_1' ), equalish( X, 'e_4' ),
% 0.72/1.11 product( 'e_2', 'e_4', 'e_2' ), ~( product( 'e_2', X, 'e_3' ) ) ] )
% 0.72/1.11 , 3, clause( 444, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_2', 'e_1',
% 0.72/1.11 'e_3' ) ] )
% 0.72/1.11 , 1, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 995, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_2'
% 0.72/1.11 ), product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.11 , clause( 27, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.72/1.11 , 0, clause( 994, [ product( 'e_2', 'e_4', 'e_1' ), equalish( 'e_1', 'e_4'
% 0.72/1.11 ), product( 'e_2', 'e_4', 'e_2' ), product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.11 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 445, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_2', 'e_4', 'e_1'
% 0.72/1.11 ), product( 'e_2', 'e_4', 'e_2' ) ] )
% 0.72/1.11 , clause( 995, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4',
% 0.72/1.11 'e_2' ), product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2
% 0.72/1.11 , 0 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 996, [ equalish( 'e_4', 'e_2' ), product( 'e_4', 'e_3', 'e_1' ),
% 0.72/1.11 product( 'e_2', 'e_4', 'e_1' ) ] )
% 0.72/1.11 , clause( 111, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.72/1.11 , 1, clause( 445, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_2', 'e_4',
% 0.72/1.11 'e_1' ), product( 'e_2', 'e_4', 'e_2' ) ] )
% 0.72/1.11 , 2, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_2' )] ), substitution( 1
% 0.72/1.11 , [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 997, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_2', 'e_4', 'e_1'
% 0.72/1.11 ) ] )
% 0.72/1.11 , clause( 35, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.72/1.11 , 0, clause( 996, [ equalish( 'e_4', 'e_2' ), product( 'e_4', 'e_3', 'e_1'
% 0.72/1.11 ), product( 'e_2', 'e_4', 'e_1' ) ] )
% 0.72/1.11 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 455, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_2', 'e_4', 'e_1'
% 0.72/1.11 ) ] )
% 0.72/1.11 , clause( 997, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_2', 'e_4',
% 0.72/1.11 'e_1' ) ] )
% 0.72/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.11 ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 998, [ equalish( 'e_2', 'e_3' ), product( 'e_4', 'e_3', 'e_1' ),
% 0.72/1.11 product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.11 , clause( 432, [ equalish( X, 'e_3' ), product( 'e_4', 'e_3', 'e_1' ), ~(
% 0.72/1.11 product( X, 'e_4', 'e_1' ) ) ] )
% 0.72/1.11 , 2, clause( 455, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_2', 'e_4',
% 0.72/1.11 'e_1' ) ] )
% 0.72/1.11 , 1, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 1000, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3',
% 0.72/1.11 'e_1' ) ] )
% 0.72/1.11 , clause( 29, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.72/1.11 , 0, clause( 998, [ equalish( 'e_2', 'e_3' ), product( 'e_4', 'e_3', 'e_1'
% 0.72/1.11 ), product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.11 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 factor(
% 0.72/1.11 clause( 1001, [ product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.11 , clause( 1000, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3',
% 0.72/1.11 'e_1' ) ] )
% 0.72/1.11 , 0, 1, substitution( 0, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 456, [ product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.11 , clause( 1001, [ product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 1003, [ ~( product( 'e_3', 'e_4', X ) ), product( X, 'e_1', 'e_4' )
% 0.72/1.11 ] )
% 0.72/1.11 , clause( 42, [ ~( product( X, Y, Z ) ), product( Z, T, Y ), ~( product( Y
% 0.72/1.11 , X, T ) ) ] )
% 0.72/1.11 , 2, clause( 456, [ product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_4' ), :=( Z, X ), :=( T,
% 0.72/1.11 'e_1' )] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 457, [ product( X, 'e_1', 'e_4' ), ~( product( 'e_3', 'e_4', X ) )
% 0.72/1.11 ] )
% 0.72/1.11 , clause( 1003, [ ~( product( 'e_3', 'e_4', X ) ), product( X, 'e_1', 'e_4'
% 0.72/1.11 ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.72/1.11 0 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 1005, [ product( 'e_2', 'e_1', 'e_4' ), product( 'e_3', 'e_4',
% 0.72/1.11 'e_1' ) ] )
% 0.72/1.11 , clause( 457, [ product( X, 'e_1', 'e_4' ), ~( product( 'e_3', 'e_4', X )
% 0.72/1.11 ) ] )
% 0.72/1.11 , 1, clause( 394, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4',
% 0.72/1.11 'e_2' ) ] )
% 0.72/1.11 , 1, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 462, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_2', 'e_1', 'e_4'
% 0.72/1.11 ) ] )
% 0.72/1.11 , clause( 1005, [ product( 'e_2', 'e_1', 'e_4' ), product( 'e_3', 'e_4',
% 0.72/1.11 'e_1' ) ] )
% 0.72/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.72/1.11 ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 1006, [ cycle( 'e_2', 'e_0' ), equalish( 'e_4', 'e_3' ), product(
% 0.72/1.11 'e_3', 'e_4', 'e_1' ) ] )
% 0.72/1.11 , clause( 254, [ cycle( 'e_2', 'e_0' ), equalish( X, 'e_3' ), ~( product(
% 0.72/1.11 'e_2', 'e_1', X ) ) ] )
% 0.72/1.11 , 2, clause( 462, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_2', 'e_1',
% 0.72/1.11 'e_4' ) ] )
% 0.72/1.11 , 1, substitution( 0, [ :=( X, 'e_4' )] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 1007, [ cycle( 'e_2', 'e_0' ), product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.72/1.11 , clause( 36, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.72/1.11 , 0, clause( 1006, [ cycle( 'e_2', 'e_0' ), equalish( 'e_4', 'e_3' ),
% 0.72/1.11 product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.72/1.11 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 467, [ cycle( 'e_2', 'e_0' ), product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.72/1.11 , clause( 1007, [ cycle( 'e_2', 'e_0' ), product( 'e_3', 'e_4', 'e_1' ) ]
% 0.72/1.11 )
% 0.72/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.11 ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 1008, [ product( 'e_1', 'e_1', 'e_4' ), cycle( 'e_2', 'e_0' ) ] )
% 0.72/1.11 , clause( 457, [ product( X, 'e_1', 'e_4' ), ~( product( 'e_3', 'e_4', X )
% 0.72/1.11 ) ] )
% 0.72/1.11 , 1, clause( 467, [ cycle( 'e_2', 'e_0' ), product( 'e_3', 'e_4', 'e_1' ) ]
% 0.72/1.11 )
% 0.72/1.11 , 1, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 1009, [ cycle( 'e_2', 'e_0' ) ] )
% 0.72/1.11 , clause( 300, [ ~( product( 'e_1', 'e_1', 'e_4' ) ) ] )
% 0.72/1.11 , 0, clause( 1008, [ product( 'e_1', 'e_1', 'e_4' ), cycle( 'e_2', 'e_0' )
% 0.72/1.11 ] )
% 0.72/1.11 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 474, [ cycle( 'e_2', 'e_0' ) ] )
% 0.72/1.11 , clause( 1009, [ cycle( 'e_2', 'e_0' ) ] )
% 0.72/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 1010, [ ~( product( 'e_2', 'e_1', 'e_4' ) ) ] )
% 0.72/1.11 , clause( 99, [ ~( product( 'e_2', 'e_1', 'e_4' ) ), ~( cycle( 'e_2', 'e_0'
% 0.72/1.11 ) ) ] )
% 0.72/1.11 , 1, clause( 474, [ cycle( 'e_2', 'e_0' ) ] )
% 0.72/1.11 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 475, [ ~( product( 'e_2', 'e_1', 'e_4' ) ) ] )
% 0.72/1.11 , clause( 1010, [ ~( product( 'e_2', 'e_1', 'e_4' ) ) ] )
% 0.72/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 1011, [ product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.72/1.11 , clause( 475, [ ~( product( 'e_2', 'e_1', 'e_4' ) ) ] )
% 0.72/1.11 , 0, clause( 462, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_2', 'e_1',
% 0.72/1.11 'e_4' ) ] )
% 0.72/1.11 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 478, [ product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.72/1.11 , clause( 1011, [ product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.72/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 1012, [ product( 'e_1', 'e_1', 'e_4' ) ] )
% 0.72/1.11 , clause( 457, [ product( X, 'e_1', 'e_4' ), ~( product( 'e_3', 'e_4', X )
% 0.72/1.11 ) ] )
% 0.72/1.11 , 1, clause( 478, [ product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 1013, [] )
% 0.72/1.11 , clause( 300, [ ~( product( 'e_1', 'e_1', 'e_4' ) ) ] )
% 0.72/1.11 , 0, clause( 1012, [ product( 'e_1', 'e_1', 'e_4' ) ] )
% 0.72/1.11 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 480, [] )
% 0.72/1.11 , clause( 1013, [] )
% 0.72/1.11 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 end.
% 0.72/1.11
% 0.72/1.11 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.11
% 0.72/1.11 Memory use:
% 0.72/1.11
% 0.72/1.11 space for terms: 6863
% 0.72/1.11 space for clauses: 21675
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 clauses generated: 839
% 0.72/1.11 clauses kept: 481
% 0.72/1.11 clauses selected: 365
% 0.72/1.11 clauses deleted: 30
% 0.72/1.11 clauses inuse deleted: 0
% 0.72/1.11
% 0.72/1.11 subsentry: 2987
% 0.72/1.11 literals s-matched: 1755
% 0.72/1.11 literals matched: 1222
% 0.72/1.11 full subsumption: 266
% 0.72/1.11
% 0.72/1.11 checksum: -1077737102
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 Bliksem ended
%------------------------------------------------------------------------------