TSTP Solution File: GRP130-1.003 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP130-1.003 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 07:35:23 EDT 2022
% Result : Unsatisfiable 0.84s 1.18s
% Output : Refutation 0.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP130-1.003 : TPTP v8.1.0. Released v1.2.0.
% 0.08/0.14 % Command : bliksem %s
% 0.13/0.35 % Computer : n025.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Mon Jun 13 21:21:24 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.84/1.18 *** allocated 10000 integers for termspace/termends
% 0.84/1.18 *** allocated 10000 integers for clauses
% 0.84/1.18 *** allocated 10000 integers for justifications
% 0.84/1.18 Bliksem 1.12
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 Automatic Strategy Selection
% 0.84/1.18
% 0.84/1.18 Clauses:
% 0.84/1.18 [
% 0.84/1.18 [ 'group_element'( 'e_1' ) ],
% 0.84/1.18 [ 'group_element'( 'e_2' ) ],
% 0.84/1.18 [ 'group_element'( 'e_3' ) ],
% 0.84/1.18 [ ~( equalish( 'e_1', 'e_2' ) ) ],
% 0.84/1.18 [ ~( equalish( 'e_1', 'e_3' ) ) ],
% 0.84/1.18 [ ~( equalish( 'e_2', 'e_1' ) ) ],
% 0.84/1.18 [ ~( equalish( 'e_2', 'e_3' ) ) ],
% 0.84/1.18 [ ~( equalish( 'e_3', 'e_1' ) ) ],
% 0.84/1.18 [ ~( equalish( 'e_3', 'e_2' ) ) ],
% 0.84/1.18 [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ), product( X, Y,
% 0.84/1.18 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ) ],
% 0.84/1.18 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish( Z, T ) ]
% 0.84/1.18 ,
% 0.84/1.18 [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish( Y, T ) ]
% 0.84/1.18 ,
% 0.84/1.18 [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish( X, T ) ]
% 0.84/1.18 ,
% 0.84/1.18 [ ~( product( X, Y, Z ) ), ~( product( X, Z, T ) ), product( T, Y, X ) ]
% 0.84/1.18
% 0.84/1.18 ] .
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 percentage equality = 0.000000, percentage horn = 0.928571
% 0.84/1.18 This is a near-Horn, non-equality problem
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 Options Used:
% 0.84/1.18
% 0.84/1.18 useres = 1
% 0.84/1.18 useparamod = 0
% 0.84/1.18 useeqrefl = 0
% 0.84/1.18 useeqfact = 0
% 0.84/1.18 usefactor = 1
% 0.84/1.18 usesimpsplitting = 0
% 0.84/1.18 usesimpdemod = 0
% 0.84/1.18 usesimpres = 4
% 0.84/1.18
% 0.84/1.18 resimpinuse = 1000
% 0.84/1.18 resimpclauses = 20000
% 0.84/1.18 substype = standard
% 0.84/1.18 backwardsubs = 1
% 0.84/1.18 selectoldest = 5
% 0.84/1.18
% 0.84/1.18 litorderings [0] = split
% 0.84/1.18 litorderings [1] = liftord
% 0.84/1.18
% 0.84/1.18 termordering = none
% 0.84/1.18
% 0.84/1.18 litapriori = 1
% 0.84/1.18 termapriori = 0
% 0.84/1.18 litaposteriori = 0
% 0.84/1.18 termaposteriori = 0
% 0.84/1.18 demodaposteriori = 0
% 0.84/1.18 ordereqreflfact = 0
% 0.84/1.18
% 0.84/1.18 litselect = negative
% 0.84/1.18
% 0.84/1.18 maxweight = 30000
% 0.84/1.18 maxdepth = 30000
% 0.84/1.18 maxlength = 115
% 0.84/1.18 maxnrvars = 195
% 0.84/1.18 excuselevel = 0
% 0.84/1.18 increasemaxweight = 0
% 0.84/1.18
% 0.84/1.18 maxselected = 10000000
% 0.84/1.18 maxnrclauses = 10000000
% 0.84/1.18
% 0.84/1.18 showgenerated = 0
% 0.84/1.18 showkept = 0
% 0.84/1.18 showselected = 0
% 0.84/1.18 showdeleted = 0
% 0.84/1.18 showresimp = 1
% 0.84/1.18 showstatus = 2000
% 0.84/1.18
% 0.84/1.18 prologoutput = 1
% 0.84/1.18 nrgoals = 5000000
% 0.84/1.18 totalproof = 1
% 0.84/1.18
% 0.84/1.18 Symbols occurring in the translation:
% 0.84/1.18
% 0.84/1.18 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.84/1.18 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 0.84/1.18 ! [4, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.84/1.18 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.84/1.18 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.84/1.18 'e_1' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.84/1.18 'group_element' [40, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.84/1.18 'e_2' [41, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.84/1.18 'e_3' [42, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.84/1.18 equalish [43, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.84/1.18 product [46, 3] (w:1, o:50, a:1, s:1, b:0).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 Starting Search:
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 Bliksems!, er is een bewijs:
% 0.84/1.18 % SZS status Unsatisfiable
% 0.84/1.18 % SZS output start Refutation
% 0.84/1.18
% 0.84/1.18 clause( 0, [ 'group_element'( 'e_1' ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 1, [ 'group_element'( 'e_2' ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 2, [ 'group_element'( 'e_3' ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 3, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 4, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 5, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 6, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 7, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 8, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 9, [ ~( 'group_element'( X ) ), product( X, Y, 'e_3' ), product( X
% 0.84/1.18 , Y, 'e_1' ), product( X, Y, 'e_2' ), ~( 'group_element'( Y ) ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 10, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y,
% 0.84/1.18 T ) ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 11, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T,
% 0.84/1.18 Z ) ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 12, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y,
% 0.84/1.18 Z ) ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 13, [ ~( product( X, Y, Z ) ), product( T, Y, X ), ~( product( X, Z
% 0.84/1.18 , T ) ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 14, [ product( X, X, 'e_3' ), product( X, X, 'e_1' ), product( X, X
% 0.84/1.18 , 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 18, [ product( Y, Y, X ), ~( product( X, Y, Y ) ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 19, [ product( X, 'e_1', 'e_3' ), product( X, 'e_1', 'e_1' ),
% 0.84/1.18 product( X, 'e_1', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 20, [ product( X, 'e_2', 'e_3' ), product( X, 'e_2', 'e_1' ),
% 0.84/1.18 product( X, 'e_2', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 21, [ product( X, 'e_3', 'e_3' ), product( X, 'e_3', 'e_1' ),
% 0.84/1.18 product( X, 'e_3', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 23, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2'
% 0.84/1.18 ), product( 'e_2', 'e_1', 'e_3' ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 31, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2'
% 0.84/1.18 ), product( 'e_2', 'e_2', 'e_3' ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 42, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_2'
% 0.84/1.18 ), product( 'e_1', 'e_2', 'e_3' ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 56, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2'
% 0.84/1.18 ), product( 'e_1', 'e_3', 'e_3' ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 57, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2'
% 0.84/1.18 ), product( 'e_2', 'e_3', 'e_3' ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 66, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 73, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_2', X, 'e_1' ), ~( product( 'e_1', X, 'e_3' ) ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 74, [ product( 'e_1', 'e_3', 'e_1' ), equalish( X, 'e_3' ), product(
% 0.84/1.18 'e_3', 'e_3', 'e_1' ), ~( product( 'e_1', X, 'e_2' ) ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 78, [ product( 'e_2', 'e_3', 'e_1' ), equalish( X, 'e_3' ), product(
% 0.84/1.18 'e_2', 'e_3', 'e_2' ), ~( product( 'e_2', X, 'e_3' ) ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 80, [ product( 'e_2', 'e_3', 'e_1' ), equalish( X, 'e_2' ), product(
% 0.84/1.18 'e_2', 'e_3', 'e_2' ), ~( product( X, 'e_3', 'e_3' ) ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 81, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2'
% 0.84/1.18 ), product( 'e_3', 'e_3', 'e_2' ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 84, [ product( 'e_2', 'e_3', 'e_1' ), equalish( X, 'e_2' ), product(
% 0.84/1.18 'e_2', 'e_3', 'e_2' ), ~( product( 'e_3', 'e_3', X ) ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 85, [ product( 'e_2', 'e_3', 'e_1' ), equalish( X, 'e_3' ), product(
% 0.84/1.18 'e_2', 'e_3', 'e_2' ), ~( product( X, 'e_3', 'e_2' ) ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 94, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2'
% 0.84/1.18 ), product( 'e_3', X, 'e_2' ), ~( product( 'e_2', X, 'e_2' ) ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 97, [ product( 'e_2', 'e_2', 'e_1' ), equalish( X, 'e_2' ), product(
% 0.84/1.18 'e_2', 'e_2', 'e_2' ), ~( product( X, 'e_2', 'e_3' ) ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 110, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_1'
% 0.84/1.18 ), product( 'e_1', 'e_2', 'e_2' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 117, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_1', 'e_1'
% 0.84/1.18 ), product( 'e_2', 'e_1', 'e_2' ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 118, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_1', 'e_3', 'e_2' ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 130, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_2', 'e_1', 'e_2' ), product( 'e_2', X, 'e_2' ), ~(
% 0.84/1.18 product( 'e_2', X, 'e_3' ) ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 134, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 135, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_2', X, 'e_2' ), ~( product( 'e_2', X, 'e_1' ) ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 136, [ product( 'e_2', 'e_1', 'e_1' ), equalish( X, 'e_1' ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_1' ), ~( product( 'e_2', X, 'e_2' ) ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 138, [ product( 'e_2', 'e_1', 'e_1' ), equalish( X, 'e_2' ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_1' ), ~( product( X, 'e_1', 'e_2' ) ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 139, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_2', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 140, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 147, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 153, [ product( 'e_2', 'e_1', 'e_1' ), equalish( X, 'e_2' ),
% 0.84/1.18 product( 'e_1', 'e_3', 'e_1' ), ~( product( X, 'e_3', 'e_1' ) ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 154, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.84/1.18 ), product( 'e_1', 'e_2', 'e_1' ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 156, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_1'
% 0.84/1.18 ), product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 208, [ product( 'e_3', 'e_1', 'e_2' ), product( 'e_2', 'e_1', 'e_1'
% 0.84/1.18 ), product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 220, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 222, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.84/1.18 ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 225, [ equalish( X, 'e_3' ), product( 'e_2', 'e_1', 'e_1' ), ~(
% 0.84/1.18 product( 'e_2', X, 'e_1' ) ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 227, [ equalish( X, 'e_2' ), product( 'e_2', 'e_1', 'e_1' ), ~(
% 0.84/1.18 product( X, 'e_3', 'e_1' ) ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 234, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_2', 'e_1'
% 0.84/1.18 ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 235, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_2', 'e_1'
% 0.84/1.18 ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 236, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', X, 'e_1' ),
% 0.84/1.18 ~( product( 'e_1', X, 'e_2' ) ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 237, [ equalish( X, 'e_2' ), product( 'e_2', 'e_1', 'e_1' ), ~(
% 0.84/1.18 product( 'e_1', X, 'e_1' ) ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 246, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 247, [ equalish( 'e_3', 'e_2' ), product( 'e_2', 'e_1', 'e_1' ) ]
% 0.84/1.18 )
% 0.84/1.18 .
% 0.84/1.18 clause( 253, [ product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 261, [ product( 'e_1', X, 'e_2' ), ~( product( 'e_2', X, 'e_1' ) )
% 0.84/1.18 ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 262, [ equalish( X, 'e_1' ), ~( product( 'e_2', X, 'e_1' ) ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 265, [ product( 'e_1', 'e_1', 'e_2' ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 266, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_1'
% 0.84/1.18 ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 268, [ product( 'e_2', X, 'e_1' ), ~( product( 'e_1', X, 'e_1' ) )
% 0.84/1.18 ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 269, [ equalish( X, 'e_1' ), ~( product( 'e_1', X, 'e_2' ) ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 277, [ equalish( 'e_1', 'e_2' ), product( 'e_2', 'e_3', 'e_1' ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 282, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2'
% 0.84/1.18 ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 283, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_2'
% 0.84/1.18 ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 286, [ equalish( X, 'e_3' ), product( 'e_2', 'e_3', 'e_1' ), ~(
% 0.84/1.18 product( 'e_2', X, 'e_2' ) ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 301, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 307, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.84/1.18 ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 311, [ product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 312, [ product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.84/1.18 .
% 0.84/1.18 clause( 318, [] )
% 0.84/1.18 .
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 % SZS output end Refutation
% 0.84/1.18 found a proof!
% 0.84/1.18
% 0.84/1.18 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.84/1.18
% 0.84/1.18 initialclauses(
% 0.84/1.18 [ clause( 320, [ 'group_element'( 'e_1' ) ] )
% 0.84/1.18 , clause( 321, [ 'group_element'( 'e_2' ) ] )
% 0.84/1.18 , clause( 322, [ 'group_element'( 'e_3' ) ] )
% 0.84/1.18 , clause( 323, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.84/1.18 , clause( 324, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.84/1.18 , clause( 325, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.84/1.18 , clause( 326, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.84/1.18 , clause( 327, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.84/1.18 , clause( 328, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.84/1.18 , clause( 329, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.84/1.18 product( X, Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ) ]
% 0.84/1.18 )
% 0.84/1.18 , clause( 330, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish(
% 0.84/1.18 Z, T ) ] )
% 0.84/1.18 , clause( 331, [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish(
% 0.84/1.18 Y, T ) ] )
% 0.84/1.18 , clause( 332, [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish(
% 0.84/1.18 X, T ) ] )
% 0.84/1.18 , clause( 333, [ ~( product( X, Y, Z ) ), ~( product( X, Z, T ) ), product(
% 0.84/1.18 T, Y, X ) ] )
% 0.84/1.18 ] ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 0, [ 'group_element'( 'e_1' ) ] )
% 0.84/1.18 , clause( 320, [ 'group_element'( 'e_1' ) ] )
% 0.84/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 1, [ 'group_element'( 'e_2' ) ] )
% 0.84/1.18 , clause( 321, [ 'group_element'( 'e_2' ) ] )
% 0.84/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 2, [ 'group_element'( 'e_3' ) ] )
% 0.84/1.18 , clause( 322, [ 'group_element'( 'e_3' ) ] )
% 0.84/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 3, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.84/1.18 , clause( 323, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.84/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 4, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.84/1.18 , clause( 324, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.84/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 5, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.84/1.18 , clause( 325, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.84/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 6, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.84/1.18 , clause( 326, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.84/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 7, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.84/1.18 , clause( 327, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.84/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 8, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.84/1.18 , clause( 328, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.84/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 9, [ ~( 'group_element'( X ) ), product( X, Y, 'e_3' ), product( X
% 0.84/1.18 , Y, 'e_1' ), product( X, Y, 'e_2' ), ~( 'group_element'( Y ) ) ] )
% 0.84/1.18 , clause( 329, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.84/1.18 product( X, Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ) ]
% 0.84/1.18 )
% 0.84/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.84/1.18 ), ==>( 1, 4 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 1 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 10, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y,
% 0.84/1.18 T ) ) ] )
% 0.84/1.18 , clause( 330, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish(
% 0.84/1.18 Z, T ) ] )
% 0.84/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.84/1.18 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 11, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T,
% 0.84/1.18 Z ) ) ] )
% 0.84/1.18 , clause( 331, [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish(
% 0.84/1.18 Y, T ) ] )
% 0.84/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.84/1.18 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 12, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y,
% 0.84/1.18 Z ) ) ] )
% 0.84/1.18 , clause( 332, [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish(
% 0.84/1.18 X, T ) ] )
% 0.84/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.84/1.18 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 13, [ ~( product( X, Y, Z ) ), product( T, Y, X ), ~( product( X, Z
% 0.84/1.18 , T ) ) ] )
% 0.84/1.18 , clause( 333, [ ~( product( X, Y, Z ) ), ~( product( X, Z, T ) ), product(
% 0.84/1.18 T, Y, X ) ] )
% 0.84/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.84/1.18 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 factor(
% 0.84/1.18 clause( 349, [ ~( 'group_element'( X ) ), product( X, X, 'e_3' ), product(
% 0.84/1.18 X, X, 'e_1' ), product( X, X, 'e_2' ) ] )
% 0.84/1.18 , clause( 9, [ ~( 'group_element'( X ) ), product( X, Y, 'e_3' ), product(
% 0.84/1.18 X, Y, 'e_1' ), product( X, Y, 'e_2' ), ~( 'group_element'( Y ) ) ] )
% 0.84/1.18 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, X )] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 14, [ product( X, X, 'e_3' ), product( X, X, 'e_1' ), product( X, X
% 0.84/1.18 , 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.84/1.18 , clause( 349, [ ~( 'group_element'( X ) ), product( X, X, 'e_3' ), product(
% 0.84/1.18 X, X, 'e_1' ), product( X, X, 'e_2' ) ] )
% 0.84/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 0.84/1.18 0 ), ==>( 2, 1 ), ==>( 3, 2 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 factor(
% 0.84/1.18 clause( 350, [ ~( product( X, Y, Y ) ), product( Y, Y, X ) ] )
% 0.84/1.18 , clause( 13, [ ~( product( X, Y, Z ) ), product( T, Y, X ), ~( product( X
% 0.84/1.18 , Z, T ) ) ] )
% 0.84/1.18 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, Y )] )
% 0.84/1.18 ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 18, [ product( Y, Y, X ), ~( product( X, Y, Y ) ) ] )
% 0.84/1.18 , clause( 350, [ ~( product( X, Y, Y ) ), product( Y, Y, X ) ] )
% 0.84/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.84/1.18 ), ==>( 1, 0 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 352, [ ~( 'group_element'( X ) ), product( X, 'e_1', 'e_3' ),
% 0.84/1.18 product( X, 'e_1', 'e_1' ), product( X, 'e_1', 'e_2' ) ] )
% 0.84/1.18 , clause( 9, [ ~( 'group_element'( X ) ), product( X, Y, 'e_3' ), product(
% 0.84/1.18 X, Y, 'e_1' ), product( X, Y, 'e_2' ), ~( 'group_element'( Y ) ) ] )
% 0.84/1.18 , 4, clause( 0, [ 'group_element'( 'e_1' ) ] )
% 0.84/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_1' )] ), substitution( 1, [] )
% 0.84/1.18 ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 19, [ product( X, 'e_1', 'e_3' ), product( X, 'e_1', 'e_1' ),
% 0.84/1.18 product( X, 'e_1', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.84/1.18 , clause( 352, [ ~( 'group_element'( X ) ), product( X, 'e_1', 'e_3' ),
% 0.84/1.18 product( X, 'e_1', 'e_1' ), product( X, 'e_1', 'e_2' ) ] )
% 0.84/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 0.84/1.18 0 ), ==>( 2, 1 ), ==>( 3, 2 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 354, [ ~( 'group_element'( X ) ), product( X, 'e_2', 'e_3' ),
% 0.84/1.18 product( X, 'e_2', 'e_1' ), product( X, 'e_2', 'e_2' ) ] )
% 0.84/1.18 , clause( 9, [ ~( 'group_element'( X ) ), product( X, Y, 'e_3' ), product(
% 0.84/1.18 X, Y, 'e_1' ), product( X, Y, 'e_2' ), ~( 'group_element'( Y ) ) ] )
% 0.84/1.18 , 4, clause( 1, [ 'group_element'( 'e_2' ) ] )
% 0.84/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_2' )] ), substitution( 1, [] )
% 0.84/1.18 ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 20, [ product( X, 'e_2', 'e_3' ), product( X, 'e_2', 'e_1' ),
% 0.84/1.18 product( X, 'e_2', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.84/1.18 , clause( 354, [ ~( 'group_element'( X ) ), product( X, 'e_2', 'e_3' ),
% 0.84/1.18 product( X, 'e_2', 'e_1' ), product( X, 'e_2', 'e_2' ) ] )
% 0.84/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 0.84/1.18 0 ), ==>( 2, 1 ), ==>( 3, 2 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 356, [ ~( 'group_element'( X ) ), product( X, 'e_3', 'e_3' ),
% 0.84/1.18 product( X, 'e_3', 'e_1' ), product( X, 'e_3', 'e_2' ) ] )
% 0.84/1.18 , clause( 9, [ ~( 'group_element'( X ) ), product( X, Y, 'e_3' ), product(
% 0.84/1.18 X, Y, 'e_1' ), product( X, Y, 'e_2' ), ~( 'group_element'( Y ) ) ] )
% 0.84/1.18 , 4, clause( 2, [ 'group_element'( 'e_3' ) ] )
% 0.84/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_3' )] ), substitution( 1, [] )
% 0.84/1.18 ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 21, [ product( X, 'e_3', 'e_3' ), product( X, 'e_3', 'e_1' ),
% 0.84/1.18 product( X, 'e_3', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.84/1.18 , clause( 356, [ ~( 'group_element'( X ) ), product( X, 'e_3', 'e_3' ),
% 0.84/1.18 product( X, 'e_3', 'e_1' ), product( X, 'e_3', 'e_2' ) ] )
% 0.84/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 0.84/1.18 0 ), ==>( 2, 1 ), ==>( 3, 2 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 357, [ product( 'e_2', 'e_1', 'e_3' ), product( 'e_2', 'e_1', 'e_1'
% 0.84/1.18 ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.84/1.18 , clause( 19, [ product( X, 'e_1', 'e_3' ), product( X, 'e_1', 'e_1' ),
% 0.84/1.18 product( X, 'e_1', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.84/1.18 , 3, clause( 1, [ 'group_element'( 'e_2' ) ] )
% 0.84/1.18 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 23, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2'
% 0.84/1.18 ), product( 'e_2', 'e_1', 'e_3' ) ] )
% 0.84/1.18 , clause( 357, [ product( 'e_2', 'e_1', 'e_3' ), product( 'e_2', 'e_1',
% 0.84/1.18 'e_1' ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.84/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.84/1.18 , 1 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 358, [ product( 'e_2', 'e_2', 'e_3' ), product( 'e_2', 'e_2', 'e_1'
% 0.84/1.18 ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.84/1.18 , clause( 14, [ product( X, X, 'e_3' ), product( X, X, 'e_1' ), product( X
% 0.84/1.18 , X, 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.84/1.18 , 3, clause( 1, [ 'group_element'( 'e_2' ) ] )
% 0.84/1.18 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 31, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2'
% 0.84/1.18 ), product( 'e_2', 'e_2', 'e_3' ) ] )
% 0.84/1.18 , clause( 358, [ product( 'e_2', 'e_2', 'e_3' ), product( 'e_2', 'e_2',
% 0.84/1.18 'e_1' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.84/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.84/1.18 , 1 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 359, [ product( 'e_1', 'e_2', 'e_3' ), product( 'e_1', 'e_2', 'e_1'
% 0.84/1.18 ), product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.84/1.18 , clause( 20, [ product( X, 'e_2', 'e_3' ), product( X, 'e_2', 'e_1' ),
% 0.84/1.18 product( X, 'e_2', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.84/1.18 , 3, clause( 0, [ 'group_element'( 'e_1' ) ] )
% 0.84/1.18 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 42, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_2'
% 0.84/1.18 ), product( 'e_1', 'e_2', 'e_3' ) ] )
% 0.84/1.18 , clause( 359, [ product( 'e_1', 'e_2', 'e_3' ), product( 'e_1', 'e_2',
% 0.84/1.18 'e_1' ), product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.84/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.84/1.18 , 1 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 360, [ product( 'e_1', 'e_3', 'e_3' ), product( 'e_1', 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.84/1.18 , clause( 21, [ product( X, 'e_3', 'e_3' ), product( X, 'e_3', 'e_1' ),
% 0.84/1.18 product( X, 'e_3', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.84/1.18 , 3, clause( 0, [ 'group_element'( 'e_1' ) ] )
% 0.84/1.18 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 56, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2'
% 0.84/1.18 ), product( 'e_1', 'e_3', 'e_3' ) ] )
% 0.84/1.18 , clause( 360, [ product( 'e_1', 'e_3', 'e_3' ), product( 'e_1', 'e_3',
% 0.84/1.18 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.84/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.84/1.18 , 1 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 361, [ product( 'e_2', 'e_3', 'e_3' ), product( 'e_2', 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.84/1.18 , clause( 21, [ product( X, 'e_3', 'e_3' ), product( X, 'e_3', 'e_1' ),
% 0.84/1.18 product( X, 'e_3', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.84/1.18 , 3, clause( 1, [ 'group_element'( 'e_2' ) ] )
% 0.84/1.18 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 57, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2'
% 0.84/1.18 ), product( 'e_2', 'e_3', 'e_3' ) ] )
% 0.84/1.18 , clause( 361, [ product( 'e_2', 'e_3', 'e_3' ), product( 'e_2', 'e_3',
% 0.84/1.18 'e_1' ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.84/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.84/1.18 , 1 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 362, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.84/1.18 , clause( 18, [ product( Y, Y, X ), ~( product( X, Y, Y ) ) ] )
% 0.84/1.18 , 1, clause( 56, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3',
% 0.84/1.18 'e_2' ), product( 'e_1', 'e_3', 'e_3' ) ] )
% 0.84/1.18 , 2, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_3' )] ), substitution( 1
% 0.84/1.18 , [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 66, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.84/1.18 , clause( 362, [ product( 'e_3', 'e_3', 'e_1' ), product( 'e_1', 'e_3',
% 0.84/1.18 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.84/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.84/1.18 , 2 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 368, [ ~( product( 'e_1', X, 'e_3' ) ), product( 'e_2', X, 'e_1' )
% 0.84/1.18 , product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , clause( 13, [ ~( product( X, Y, Z ) ), product( T, Y, X ), ~( product( X
% 0.84/1.18 , Z, T ) ) ] )
% 0.84/1.18 , 2, clause( 66, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_3',
% 0.84/1.18 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.84/1.18 , 2, substitution( 0, [ :=( X, 'e_1' ), :=( Y, X ), :=( Z, 'e_3' ), :=( T,
% 0.84/1.18 'e_2' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 73, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_2', X, 'e_1' ), ~( product( 'e_1', X, 'e_3' ) ) ] )
% 0.84/1.18 , clause( 368, [ ~( product( 'e_1', X, 'e_3' ) ), product( 'e_2', X, 'e_1'
% 0.84/1.18 ), product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 0.84/1.18 2 ), ==>( 2, 0 ), ==>( 3, 1 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 377, [ equalish( X, 'e_3' ), ~( product( 'e_1', X, 'e_2' ) ),
% 0.84/1.18 product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , clause( 11, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.84/1.18 , Z ) ) ] )
% 0.84/1.18 , 2, clause( 66, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_3',
% 0.84/1.18 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.84/1.18 , 2, substitution( 0, [ :=( X, 'e_1' ), :=( Y, X ), :=( Z, 'e_2' ), :=( T,
% 0.84/1.18 'e_3' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 74, [ product( 'e_1', 'e_3', 'e_1' ), equalish( X, 'e_3' ), product(
% 0.84/1.18 'e_3', 'e_3', 'e_1' ), ~( product( 'e_1', X, 'e_2' ) ) ] )
% 0.84/1.18 , clause( 377, [ equalish( X, 'e_3' ), ~( product( 'e_1', X, 'e_2' ) ),
% 0.84/1.18 product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.84/1.18 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 383, [ equalish( X, 'e_3' ), ~( product( 'e_2', X, 'e_3' ) ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.84/1.18 , clause( 11, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.84/1.18 , Z ) ) ] )
% 0.84/1.18 , 2, clause( 57, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3',
% 0.84/1.18 'e_2' ), product( 'e_2', 'e_3', 'e_3' ) ] )
% 0.84/1.18 , 2, substitution( 0, [ :=( X, 'e_2' ), :=( Y, X ), :=( Z, 'e_3' ), :=( T,
% 0.84/1.18 'e_3' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 78, [ product( 'e_2', 'e_3', 'e_1' ), equalish( X, 'e_3' ), product(
% 0.84/1.18 'e_2', 'e_3', 'e_2' ), ~( product( 'e_2', X, 'e_3' ) ) ] )
% 0.84/1.18 , clause( 383, [ equalish( X, 'e_3' ), ~( product( 'e_2', X, 'e_3' ) ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.84/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.84/1.18 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 389, [ equalish( X, 'e_2' ), ~( product( X, 'e_3', 'e_3' ) ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.84/1.18 , clause( 12, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.84/1.18 , Z ) ) ] )
% 0.84/1.18 , 2, clause( 57, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3',
% 0.84/1.18 'e_2' ), product( 'e_2', 'e_3', 'e_3' ) ] )
% 0.84/1.18 , 2, substitution( 0, [ :=( X, X ), :=( Y, 'e_3' ), :=( Z, 'e_3' ), :=( T,
% 0.84/1.18 'e_2' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 80, [ product( 'e_2', 'e_3', 'e_1' ), equalish( X, 'e_2' ), product(
% 0.84/1.18 'e_2', 'e_3', 'e_2' ), ~( product( X, 'e_3', 'e_3' ) ) ] )
% 0.84/1.18 , clause( 389, [ equalish( X, 'e_2' ), ~( product( X, 'e_3', 'e_3' ) ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.84/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.84/1.18 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 390, [ product( 'e_3', 'e_3', 'e_2' ), product( 'e_2', 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.84/1.18 , clause( 18, [ product( Y, Y, X ), ~( product( X, Y, Y ) ) ] )
% 0.84/1.18 , 1, clause( 57, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3',
% 0.84/1.18 'e_2' ), product( 'e_2', 'e_3', 'e_3' ) ] )
% 0.84/1.18 , 2, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_3' )] ), substitution( 1
% 0.84/1.18 , [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 81, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2'
% 0.84/1.18 ), product( 'e_3', 'e_3', 'e_2' ) ] )
% 0.84/1.18 , clause( 390, [ product( 'e_3', 'e_3', 'e_2' ), product( 'e_2', 'e_3',
% 0.84/1.18 'e_1' ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.84/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.84/1.18 , 1 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 396, [ equalish( X, 'e_2' ), ~( product( 'e_3', 'e_3', X ) ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.84/1.18 , clause( 10, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y
% 0.84/1.18 , T ) ) ] )
% 0.84/1.18 , 2, clause( 81, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3',
% 0.84/1.18 'e_2' ), product( 'e_3', 'e_3', 'e_2' ) ] )
% 0.84/1.18 , 2, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_3' ), :=( Z, X ), :=( T,
% 0.84/1.18 'e_2' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 84, [ product( 'e_2', 'e_3', 'e_1' ), equalish( X, 'e_2' ), product(
% 0.84/1.18 'e_2', 'e_3', 'e_2' ), ~( product( 'e_3', 'e_3', X ) ) ] )
% 0.84/1.18 , clause( 396, [ equalish( X, 'e_2' ), ~( product( 'e_3', 'e_3', X ) ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.84/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.84/1.18 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 402, [ equalish( X, 'e_3' ), ~( product( X, 'e_3', 'e_2' ) ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.84/1.18 , clause( 12, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.84/1.18 , Z ) ) ] )
% 0.84/1.18 , 2, clause( 81, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3',
% 0.84/1.18 'e_2' ), product( 'e_3', 'e_3', 'e_2' ) ] )
% 0.84/1.18 , 2, substitution( 0, [ :=( X, X ), :=( Y, 'e_3' ), :=( Z, 'e_2' ), :=( T,
% 0.84/1.18 'e_3' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 85, [ product( 'e_2', 'e_3', 'e_1' ), equalish( X, 'e_3' ), product(
% 0.84/1.18 'e_2', 'e_3', 'e_2' ), ~( product( X, 'e_3', 'e_2' ) ) ] )
% 0.84/1.18 , clause( 402, [ equalish( X, 'e_3' ), ~( product( X, 'e_3', 'e_2' ) ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.84/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.84/1.18 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 408, [ ~( product( 'e_2', X, 'e_2' ) ), product( 'e_3', X, 'e_2' )
% 0.84/1.18 , product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.84/1.18 , clause( 13, [ ~( product( X, Y, Z ) ), product( T, Y, X ), ~( product( X
% 0.84/1.18 , Z, T ) ) ] )
% 0.84/1.18 , 2, clause( 31, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2',
% 0.84/1.18 'e_2' ), product( 'e_2', 'e_2', 'e_3' ) ] )
% 0.84/1.18 , 2, substitution( 0, [ :=( X, 'e_2' ), :=( Y, X ), :=( Z, 'e_2' ), :=( T,
% 0.84/1.18 'e_3' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 94, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2'
% 0.84/1.18 ), product( 'e_3', X, 'e_2' ), ~( product( 'e_2', X, 'e_2' ) ) ] )
% 0.84/1.18 , clause( 408, [ ~( product( 'e_2', X, 'e_2' ) ), product( 'e_3', X, 'e_2'
% 0.84/1.18 ), product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.84/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 0.84/1.18 2 ), ==>( 2, 0 ), ==>( 3, 1 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 416, [ equalish( X, 'e_2' ), ~( product( X, 'e_2', 'e_3' ) ),
% 0.84/1.18 product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.84/1.18 , clause( 12, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.84/1.18 , Z ) ) ] )
% 0.84/1.18 , 2, clause( 31, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2',
% 0.84/1.18 'e_2' ), product( 'e_2', 'e_2', 'e_3' ) ] )
% 0.84/1.18 , 2, substitution( 0, [ :=( X, X ), :=( Y, 'e_2' ), :=( Z, 'e_3' ), :=( T,
% 0.84/1.18 'e_2' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 97, [ product( 'e_2', 'e_2', 'e_1' ), equalish( X, 'e_2' ), product(
% 0.84/1.18 'e_2', 'e_2', 'e_2' ), ~( product( X, 'e_2', 'e_3' ) ) ] )
% 0.84/1.18 , clause( 416, [ equalish( X, 'e_2' ), ~( product( X, 'e_2', 'e_3' ) ),
% 0.84/1.18 product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.84/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.84/1.18 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 417, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_2' ),
% 0.84/1.18 product( 'e_2', 'e_2', 'e_2' ), product( 'e_1', 'e_2', 'e_1' ), product(
% 0.84/1.18 'e_1', 'e_2', 'e_2' ) ] )
% 0.84/1.18 , clause( 97, [ product( 'e_2', 'e_2', 'e_1' ), equalish( X, 'e_2' ),
% 0.84/1.18 product( 'e_2', 'e_2', 'e_2' ), ~( product( X, 'e_2', 'e_3' ) ) ] )
% 0.84/1.18 , 3, clause( 42, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2',
% 0.84/1.18 'e_2' ), product( 'e_1', 'e_2', 'e_3' ) ] )
% 0.84/1.18 , 2, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 418, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2'
% 0.84/1.18 ), product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.84/1.18 , clause( 3, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.84/1.18 , 0, clause( 417, [ product( 'e_2', 'e_2', 'e_1' ), equalish( 'e_1', 'e_2'
% 0.84/1.18 ), product( 'e_2', 'e_2', 'e_2' ), product( 'e_1', 'e_2', 'e_1' ),
% 0.84/1.18 product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.84/1.18 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 110, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_1'
% 0.84/1.18 ), product( 'e_1', 'e_2', 'e_2' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.84/1.18 , clause( 418, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2',
% 0.84/1.18 'e_2' ), product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_2' ) ]
% 0.84/1.18 )
% 0.84/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 3 ), ==>( 2
% 0.84/1.18 , 1 ), ==>( 3, 2 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 419, [ product( 'e_2', 'e_3', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_2' ), product( 'e_2', 'e_1', 'e_1' ), product(
% 0.84/1.18 'e_2', 'e_1', 'e_2' ) ] )
% 0.84/1.18 , clause( 78, [ product( 'e_2', 'e_3', 'e_1' ), equalish( X, 'e_3' ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_2' ), ~( product( 'e_2', X, 'e_3' ) ) ] )
% 0.84/1.18 , 3, clause( 23, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1',
% 0.84/1.18 'e_2' ), product( 'e_2', 'e_1', 'e_3' ) ] )
% 0.84/1.18 , 2, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 420, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2'
% 0.84/1.18 ), product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.84/1.18 , clause( 4, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.84/1.18 , 0, clause( 419, [ product( 'e_2', 'e_3', 'e_1' ), equalish( 'e_1', 'e_3'
% 0.84/1.18 ), product( 'e_2', 'e_3', 'e_2' ), product( 'e_2', 'e_1', 'e_1' ),
% 0.84/1.18 product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.84/1.18 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 117, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_1', 'e_1'
% 0.84/1.18 ), product( 'e_2', 'e_1', 'e_2' ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.84/1.18 , clause( 420, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3',
% 0.84/1.18 'e_2' ), product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2' ) ]
% 0.84/1.18 )
% 0.84/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 3 ), ==>( 2
% 0.84/1.18 , 1 ), ==>( 3, 2 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 421, [ product( 'e_2', 'e_3', 'e_1' ), equalish( 'e_1', 'e_2' ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_2' ), product( 'e_1', 'e_3', 'e_1' ), product(
% 0.84/1.18 'e_1', 'e_3', 'e_2' ) ] )
% 0.84/1.18 , clause( 80, [ product( 'e_2', 'e_3', 'e_1' ), equalish( X, 'e_2' ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_2' ), ~( product( X, 'e_3', 'e_3' ) ) ] )
% 0.84/1.18 , 3, clause( 56, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3',
% 0.84/1.18 'e_2' ), product( 'e_1', 'e_3', 'e_3' ) ] )
% 0.84/1.18 , 2, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 422, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2'
% 0.84/1.18 ), product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.84/1.18 , clause( 3, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.84/1.18 , 0, clause( 421, [ product( 'e_2', 'e_3', 'e_1' ), equalish( 'e_1', 'e_2'
% 0.84/1.18 ), product( 'e_2', 'e_3', 'e_2' ), product( 'e_1', 'e_3', 'e_1' ),
% 0.84/1.18 product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.84/1.18 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 118, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_1', 'e_3', 'e_2' ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.84/1.18 , clause( 422, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3',
% 0.84/1.18 'e_2' ), product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ]
% 0.84/1.18 )
% 0.84/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 3 ), ==>( 2
% 0.84/1.18 , 1 ), ==>( 3, 2 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 430, [ ~( product( 'e_2', X, 'e_3' ) ), product( 'e_2', X, 'e_2' )
% 0.84/1.18 , product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_1', 'e_1' ), product(
% 0.84/1.18 'e_2', 'e_1', 'e_2' ) ] )
% 0.84/1.18 , clause( 13, [ ~( product( X, Y, Z ) ), product( T, Y, X ), ~( product( X
% 0.84/1.18 , Z, T ) ) ] )
% 0.84/1.18 , 2, clause( 117, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_1',
% 0.84/1.18 'e_1' ), product( 'e_2', 'e_1', 'e_2' ), product( 'e_2', 'e_3', 'e_2' ) ]
% 0.84/1.18 )
% 0.84/1.18 , 3, substitution( 0, [ :=( X, 'e_2' ), :=( Y, X ), :=( Z, 'e_3' ), :=( T,
% 0.84/1.18 'e_2' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 130, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_2', 'e_1', 'e_2' ), product( 'e_2', X, 'e_2' ), ~(
% 0.84/1.18 product( 'e_2', X, 'e_3' ) ) ] )
% 0.84/1.18 , clause( 430, [ ~( product( 'e_2', X, 'e_3' ) ), product( 'e_2', X, 'e_2'
% 0.84/1.18 ), product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_1', 'e_1' ),
% 0.84/1.18 product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.84/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 4 ), ==>( 1,
% 0.84/1.18 3 ), ==>( 2, 1 ), ==>( 3, 0 ), ==>( 4, 2 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 factor(
% 0.84/1.18 clause( 435, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_2', 'e_1', 'e_2' ), ~( product( 'e_2', 'e_1', 'e_3' ) ) ]
% 0.84/1.18 )
% 0.84/1.18 , clause( 130, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3',
% 0.84/1.18 'e_1' ), product( 'e_2', 'e_1', 'e_2' ), product( 'e_2', X, 'e_2' ), ~(
% 0.84/1.18 product( 'e_2', X, 'e_3' ) ) ] )
% 0.84/1.18 , 2, 3, substitution( 0, [ :=( X, 'e_1' )] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 436, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_2', 'e_1', 'e_2' ), product( 'e_2', 'e_1', 'e_1' ),
% 0.84/1.18 product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.84/1.18 , clause( 435, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3',
% 0.84/1.18 'e_1' ), product( 'e_2', 'e_1', 'e_2' ), ~( product( 'e_2', 'e_1', 'e_3'
% 0.84/1.18 ) ) ] )
% 0.84/1.18 , 3, clause( 23, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1',
% 0.84/1.18 'e_2' ), product( 'e_2', 'e_1', 'e_3' ) ] )
% 0.84/1.18 , 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 factor(
% 0.84/1.18 clause( 437, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_2', 'e_1', 'e_2' ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.84/1.18 , clause( 436, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3',
% 0.84/1.18 'e_1' ), product( 'e_2', 'e_1', 'e_2' ), product( 'e_2', 'e_1', 'e_1' ),
% 0.84/1.18 product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.84/1.18 , 0, 3, substitution( 0, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 factor(
% 0.84/1.18 clause( 438, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.84/1.18 , clause( 437, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3',
% 0.84/1.18 'e_1' ), product( 'e_2', 'e_1', 'e_2' ), product( 'e_2', 'e_1', 'e_2' ) ]
% 0.84/1.18 )
% 0.84/1.18 , 2, 3, substitution( 0, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 134, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.84/1.18 , clause( 438, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3',
% 0.84/1.18 'e_1' ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.84/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.84/1.18 , 2 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 444, [ ~( product( 'e_2', X, 'e_1' ) ), product( 'e_2', X, 'e_2' )
% 0.84/1.18 , product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , clause( 13, [ ~( product( X, Y, Z ) ), product( T, Y, X ), ~( product( X
% 0.84/1.18 , Z, T ) ) ] )
% 0.84/1.18 , 2, clause( 134, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3',
% 0.84/1.18 'e_1' ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.84/1.18 , 2, substitution( 0, [ :=( X, 'e_2' ), :=( Y, X ), :=( Z, 'e_1' ), :=( T,
% 0.84/1.18 'e_2' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 135, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_2', X, 'e_2' ), ~( product( 'e_2', X, 'e_1' ) ) ] )
% 0.84/1.18 , clause( 444, [ ~( product( 'e_2', X, 'e_1' ) ), product( 'e_2', X, 'e_2'
% 0.84/1.18 ), product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 0.84/1.18 2 ), ==>( 2, 0 ), ==>( 3, 1 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 451, [ equalish( X, 'e_1' ), ~( product( 'e_2', X, 'e_2' ) ),
% 0.84/1.18 product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , clause( 11, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.84/1.18 , Z ) ) ] )
% 0.84/1.18 , 2, clause( 134, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3',
% 0.84/1.18 'e_1' ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.84/1.18 , 2, substitution( 0, [ :=( X, 'e_2' ), :=( Y, X ), :=( Z, 'e_2' ), :=( T,
% 0.84/1.18 'e_1' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 136, [ product( 'e_2', 'e_1', 'e_1' ), equalish( X, 'e_1' ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_1' ), ~( product( 'e_2', X, 'e_2' ) ) ] )
% 0.84/1.18 , clause( 451, [ equalish( X, 'e_1' ), ~( product( 'e_2', X, 'e_2' ) ),
% 0.84/1.18 product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.84/1.18 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 457, [ equalish( X, 'e_2' ), ~( product( X, 'e_1', 'e_2' ) ),
% 0.84/1.18 product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , clause( 12, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.84/1.18 , Z ) ) ] )
% 0.84/1.18 , 2, clause( 134, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3',
% 0.84/1.18 'e_1' ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.84/1.18 , 2, substitution( 0, [ :=( X, X ), :=( Y, 'e_1' ), :=( Z, 'e_2' ), :=( T,
% 0.84/1.18 'e_2' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 138, [ product( 'e_2', 'e_1', 'e_1' ), equalish( X, 'e_2' ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_1' ), ~( product( X, 'e_1', 'e_2' ) ) ] )
% 0.84/1.18 , clause( 457, [ equalish( X, 'e_2' ), ~( product( X, 'e_1', 'e_2' ) ),
% 0.84/1.18 product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.84/1.18 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 458, [ product( 'e_2', 'e_1', 'e_1' ), equalish( 'e_3', 'e_1' ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_1' ), product(
% 0.84/1.18 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.84/1.18 , clause( 136, [ product( 'e_2', 'e_1', 'e_1' ), equalish( X, 'e_1' ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_1' ), ~( product( 'e_2', X, 'e_2' ) ) ] )
% 0.84/1.18 , 3, clause( 118, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_1', 'e_3',
% 0.84/1.18 'e_1' ), product( 'e_1', 'e_3', 'e_2' ), product( 'e_2', 'e_3', 'e_2' ) ]
% 0.84/1.18 )
% 0.84/1.18 , 3, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 460, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_2', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ),
% 0.84/1.18 product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.84/1.18 , clause( 7, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.84/1.18 , 0, clause( 458, [ product( 'e_2', 'e_1', 'e_1' ), equalish( 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_1' ),
% 0.84/1.18 product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.84/1.18 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 factor(
% 0.84/1.18 clause( 461, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.84/1.18 , clause( 460, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3',
% 0.84/1.18 'e_1' ), product( 'e_2', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ),
% 0.84/1.18 product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.84/1.18 , 1, 2, substitution( 0, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 139, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_2', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.84/1.18 , clause( 461, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3',
% 0.84/1.18 'e_1' ), product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ]
% 0.84/1.18 )
% 0.84/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2
% 0.84/1.18 , 1 ), ==>( 3, 3 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 462, [ product( 'e_2', 'e_3', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_2' ), product( 'e_2', 'e_1', 'e_1' ), product(
% 0.84/1.18 'e_1', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , clause( 85, [ product( 'e_2', 'e_3', 'e_1' ), equalish( X, 'e_3' ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_2' ), ~( product( X, 'e_3', 'e_2' ) ) ] )
% 0.84/1.18 , 3, clause( 139, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_3',
% 0.84/1.18 'e_1' ), product( 'e_2', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ]
% 0.84/1.18 )
% 0.84/1.18 , 3, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 464, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2'
% 0.84/1.18 ), product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , clause( 4, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.84/1.18 , 0, clause( 462, [ product( 'e_2', 'e_3', 'e_1' ), equalish( 'e_1', 'e_3'
% 0.84/1.18 ), product( 'e_2', 'e_3', 'e_2' ), product( 'e_2', 'e_1', 'e_1' ),
% 0.84/1.18 product( 'e_1', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 factor(
% 0.84/1.18 clause( 465, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2'
% 0.84/1.18 ), product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , clause( 464, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3',
% 0.84/1.18 'e_2' ), product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , 0, 4, substitution( 0, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 140, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.84/1.18 , clause( 465, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3',
% 0.84/1.18 'e_2' ), product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ) ]
% 0.84/1.18 )
% 0.84/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 3 ), ==>( 2
% 0.84/1.18 , 0 ), ==>( 3, 1 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 466, [ product( 'e_2', 'e_1', 'e_1' ), equalish( 'e_3', 'e_1' ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_1', 'e_1' ), product(
% 0.84/1.18 'e_1', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , clause( 136, [ product( 'e_2', 'e_1', 'e_1' ), equalish( X, 'e_1' ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_1' ), ~( product( 'e_2', X, 'e_2' ) ) ] )
% 0.84/1.18 , 3, clause( 140, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_3',
% 0.84/1.18 'e_1' ), product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2' ) ]
% 0.84/1.18 )
% 0.84/1.18 , 3, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 factor(
% 0.84/1.18 clause( 467, [ product( 'e_2', 'e_1', 'e_1' ), equalish( 'e_3', 'e_1' ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ), product(
% 0.84/1.18 'e_2', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , clause( 466, [ product( 'e_2', 'e_1', 'e_1' ), equalish( 'e_3', 'e_1' ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_1', 'e_1' ), product(
% 0.84/1.18 'e_1', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , 0, 3, substitution( 0, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 factor(
% 0.84/1.18 clause( 468, [ product( 'e_2', 'e_1', 'e_1' ), equalish( 'e_3', 'e_1' ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , clause( 467, [ product( 'e_2', 'e_1', 'e_1' ), equalish( 'e_3', 'e_1' ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ), product(
% 0.84/1.18 'e_2', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , 2, 4, substitution( 0, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 469, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , clause( 7, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.84/1.18 , 0, clause( 468, [ product( 'e_2', 'e_1', 'e_1' ), equalish( 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_2', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 147, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , clause( 469, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3',
% 0.84/1.18 'e_1' ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2
% 0.84/1.18 , 1 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 475, [ equalish( X, 'e_2' ), ~( product( X, 'e_3', 'e_1' ) ),
% 0.84/1.18 product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , clause( 12, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.84/1.18 , Z ) ) ] )
% 0.84/1.18 , 2, clause( 147, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_3',
% 0.84/1.18 'e_1' ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , 2, substitution( 0, [ :=( X, X ), :=( Y, 'e_3' ), :=( Z, 'e_1' ), :=( T,
% 0.84/1.18 'e_2' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 153, [ product( 'e_2', 'e_1', 'e_1' ), equalish( X, 'e_2' ),
% 0.84/1.18 product( 'e_1', 'e_3', 'e_1' ), ~( product( X, 'e_3', 'e_1' ) ) ] )
% 0.84/1.18 , clause( 475, [ equalish( X, 'e_2' ), ~( product( X, 'e_3', 'e_1' ) ),
% 0.84/1.18 product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.84/1.18 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 476, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_1' ),
% 0.84/1.18 product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.84/1.18 , clause( 73, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_3',
% 0.84/1.18 'e_1' ), product( 'e_2', X, 'e_1' ), ~( product( 'e_1', X, 'e_3' ) ) ] )
% 0.84/1.18 , 3, clause( 42, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2',
% 0.84/1.18 'e_2' ), product( 'e_1', 'e_2', 'e_3' ) ] )
% 0.84/1.18 , 2, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 477, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_3', 'e_3', 'e_1' ), product( 'e_2', 'e_2', 'e_1' ),
% 0.84/1.18 product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.84/1.18 , clause( 18, [ product( Y, Y, X ), ~( product( X, Y, Y ) ) ] )
% 0.84/1.18 , 1, clause( 476, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_3',
% 0.84/1.18 'e_1' ), product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_1' ),
% 0.84/1.18 product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.84/1.18 , 4, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_2' )] ), substitution( 1
% 0.84/1.18 , [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 factor(
% 0.84/1.18 clause( 478, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_3', 'e_3', 'e_1' ), product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.84/1.18 , clause( 477, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_3',
% 0.84/1.18 'e_1' ), product( 'e_3', 'e_3', 'e_1' ), product( 'e_2', 'e_2', 'e_1' ),
% 0.84/1.18 product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.84/1.18 , 0, 3, substitution( 0, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 154, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.84/1.18 ), product( 'e_1', 'e_2', 'e_1' ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , clause( 478, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_3',
% 0.84/1.18 'e_1' ), product( 'e_3', 'e_3', 'e_1' ), product( 'e_1', 'e_2', 'e_1' ) ]
% 0.84/1.18 )
% 0.84/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.84/1.18 , 3 ), ==>( 3, 2 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 480, [ product( 'e_2', 'e_1', 'e_1' ), equalish( 'e_3', 'e_2' ),
% 0.84/1.18 product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ), product(
% 0.84/1.18 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.84/1.18 , clause( 153, [ product( 'e_2', 'e_1', 'e_1' ), equalish( X, 'e_2' ),
% 0.84/1.18 product( 'e_1', 'e_3', 'e_1' ), ~( product( X, 'e_3', 'e_1' ) ) ] )
% 0.84/1.18 , 3, clause( 154, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_2', 'e_2',
% 0.84/1.18 'e_1' ), product( 'e_1', 'e_2', 'e_1' ), product( 'e_3', 'e_3', 'e_1' ) ]
% 0.84/1.18 )
% 0.84/1.18 , 3, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 482, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_1', 'e_3', 'e_1' ), product( 'e_2', 'e_2', 'e_1' ),
% 0.84/1.18 product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.84/1.18 , clause( 8, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.84/1.18 , 0, clause( 480, [ product( 'e_2', 'e_1', 'e_1' ), equalish( 'e_3', 'e_2'
% 0.84/1.18 ), product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ),
% 0.84/1.18 product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.84/1.18 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 factor(
% 0.84/1.18 clause( 483, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.84/1.18 , clause( 482, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_3',
% 0.84/1.18 'e_1' ), product( 'e_1', 'e_3', 'e_1' ), product( 'e_2', 'e_2', 'e_1' ),
% 0.84/1.18 product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.84/1.18 , 1, 2, substitution( 0, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 156, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_1'
% 0.84/1.18 ), product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , clause( 483, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_3',
% 0.84/1.18 'e_1' ), product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_1' ) ]
% 0.84/1.18 )
% 0.84/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 3 ), ==>( 2
% 0.84/1.18 , 0 ), ==>( 3, 1 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 484, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2'
% 0.84/1.18 ), product( 'e_3', 'e_1', 'e_2' ), product( 'e_2', 'e_1', 'e_1' ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , clause( 94, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2',
% 0.84/1.18 'e_2' ), product( 'e_3', X, 'e_2' ), ~( product( 'e_2', X, 'e_2' ) ) ] )
% 0.84/1.18 , 3, clause( 134, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3',
% 0.84/1.18 'e_1' ), product( 'e_2', 'e_1', 'e_2' ) ] )
% 0.84/1.18 , 2, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 485, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_2', 'e_2', 'e_2' ), product( 'e_2', 'e_2', 'e_2' ),
% 0.84/1.18 product( 'e_3', 'e_1', 'e_2' ), product( 'e_2', 'e_1', 'e_1' ), product(
% 0.84/1.18 'e_2', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , clause( 135, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3',
% 0.84/1.18 'e_1' ), product( 'e_2', X, 'e_2' ), ~( product( 'e_2', X, 'e_1' ) ) ] )
% 0.84/1.18 , 3, clause( 484, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2',
% 0.84/1.18 'e_2' ), product( 'e_3', 'e_1', 'e_2' ), product( 'e_2', 'e_1', 'e_1' ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 factor(
% 0.84/1.18 clause( 486, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_2', 'e_2', 'e_2' ), product( 'e_2', 'e_2', 'e_2' ),
% 0.84/1.18 product( 'e_3', 'e_1', 'e_2' ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , clause( 485, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3',
% 0.84/1.18 'e_1' ), product( 'e_2', 'e_2', 'e_2' ), product( 'e_2', 'e_2', 'e_2' ),
% 0.84/1.18 product( 'e_3', 'e_1', 'e_2' ), product( 'e_2', 'e_1', 'e_1' ), product(
% 0.84/1.18 'e_2', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , 0, 5, substitution( 0, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 factor(
% 0.84/1.18 clause( 487, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_2', 'e_2', 'e_2' ), product( 'e_2', 'e_2', 'e_2' ),
% 0.84/1.18 product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.84/1.18 , clause( 486, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3',
% 0.84/1.18 'e_1' ), product( 'e_2', 'e_2', 'e_2' ), product( 'e_2', 'e_2', 'e_2' ),
% 0.84/1.18 product( 'e_3', 'e_1', 'e_2' ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , 1, 5, substitution( 0, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 factor(
% 0.84/1.18 clause( 488, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_2', 'e_2', 'e_2' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.84/1.18 , clause( 487, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3',
% 0.84/1.18 'e_1' ), product( 'e_2', 'e_2', 'e_2' ), product( 'e_2', 'e_2', 'e_2' ),
% 0.84/1.18 product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.84/1.18 , 2, 3, substitution( 0, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 208, [ product( 'e_3', 'e_1', 'e_2' ), product( 'e_2', 'e_1', 'e_1'
% 0.84/1.18 ), product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.84/1.18 , clause( 488, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3',
% 0.84/1.18 'e_1' ), product( 'e_2', 'e_2', 'e_2' ), product( 'e_3', 'e_1', 'e_2' ) ]
% 0.84/1.18 )
% 0.84/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2
% 0.84/1.18 , 3 ), ==>( 3, 0 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 489, [ product( 'e_2', 'e_1', 'e_1' ), equalish( 'e_2', 'e_1' ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ), product(
% 0.84/1.18 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , clause( 136, [ product( 'e_2', 'e_1', 'e_1' ), equalish( X, 'e_1' ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_1' ), ~( product( 'e_2', X, 'e_2' ) ) ] )
% 0.84/1.18 , 3, clause( 208, [ product( 'e_3', 'e_1', 'e_2' ), product( 'e_2', 'e_1',
% 0.84/1.18 'e_1' ), product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_2', 'e_2' ) ]
% 0.84/1.18 )
% 0.84/1.18 , 3, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 factor(
% 0.84/1.18 clause( 490, [ product( 'e_2', 'e_1', 'e_1' ), equalish( 'e_2', 'e_1' ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ), product(
% 0.84/1.18 'e_2', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , clause( 489, [ product( 'e_2', 'e_1', 'e_1' ), equalish( 'e_2', 'e_1' ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ), product(
% 0.84/1.18 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , 0, 4, substitution( 0, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 factor(
% 0.84/1.18 clause( 491, [ product( 'e_2', 'e_1', 'e_1' ), equalish( 'e_2', 'e_1' ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.84/1.18 , clause( 490, [ product( 'e_2', 'e_1', 'e_1' ), equalish( 'e_2', 'e_1' ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ), product(
% 0.84/1.18 'e_2', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , 2, 4, substitution( 0, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 492, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.84/1.18 , clause( 5, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.84/1.18 , 0, clause( 491, [ product( 'e_2', 'e_1', 'e_1' ), equalish( 'e_2', 'e_1'
% 0.84/1.18 ), product( 'e_2', 'e_3', 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.84/1.18 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 220, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.84/1.18 , clause( 492, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3',
% 0.84/1.18 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.84/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.84/1.18 , 2 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 493, [ product( 'e_2', 'e_1', 'e_1' ), equalish( 'e_3', 'e_2' ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_1', 'e_1' ), product(
% 0.84/1.18 'e_2', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , clause( 138, [ product( 'e_2', 'e_1', 'e_1' ), equalish( X, 'e_2' ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_1' ), ~( product( X, 'e_1', 'e_2' ) ) ] )
% 0.84/1.18 , 3, clause( 220, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3',
% 0.84/1.18 'e_1' ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.84/1.18 , 2, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 factor(
% 0.84/1.18 clause( 494, [ product( 'e_2', 'e_1', 'e_1' ), equalish( 'e_3', 'e_2' ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , clause( 493, [ product( 'e_2', 'e_1', 'e_1' ), equalish( 'e_3', 'e_2' ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_1', 'e_1' ), product(
% 0.84/1.18 'e_2', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , 0, 3, substitution( 0, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 factor(
% 0.84/1.18 clause( 495, [ product( 'e_2', 'e_1', 'e_1' ), equalish( 'e_3', 'e_2' ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , clause( 494, [ product( 'e_2', 'e_1', 'e_1' ), equalish( 'e_3', 'e_2' ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , 2, 3, substitution( 0, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 496, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.84/1.18 ) ] )
% 0.84/1.18 , clause( 8, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.84/1.18 , 0, clause( 495, [ product( 'e_2', 'e_1', 'e_1' ), equalish( 'e_3', 'e_2'
% 0.84/1.18 ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 222, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.84/1.18 ) ] )
% 0.84/1.18 , clause( 496, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3',
% 0.84/1.18 'e_1' ) ] )
% 0.84/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.84/1.18 ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 500, [ equalish( X, 'e_3' ), ~( product( 'e_2', X, 'e_1' ) ),
% 0.84/1.18 product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.84/1.18 , clause( 11, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.84/1.18 , Z ) ) ] )
% 0.84/1.18 , 2, clause( 222, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3',
% 0.84/1.18 'e_1' ) ] )
% 0.84/1.18 , 1, substitution( 0, [ :=( X, 'e_2' ), :=( Y, X ), :=( Z, 'e_1' ), :=( T,
% 0.84/1.18 'e_3' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 225, [ equalish( X, 'e_3' ), product( 'e_2', 'e_1', 'e_1' ), ~(
% 0.84/1.18 product( 'e_2', X, 'e_1' ) ) ] )
% 0.84/1.18 , clause( 500, [ equalish( X, 'e_3' ), ~( product( 'e_2', X, 'e_1' ) ),
% 0.84/1.18 product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.84/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.84/1.18 2 ), ==>( 2, 1 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 504, [ equalish( X, 'e_2' ), ~( product( X, 'e_3', 'e_1' ) ),
% 0.84/1.18 product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.84/1.18 , clause( 12, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.84/1.18 , Z ) ) ] )
% 0.84/1.18 , 2, clause( 222, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_3',
% 0.84/1.18 'e_1' ) ] )
% 0.84/1.18 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'e_3' ), :=( Z, 'e_1' ), :=( T,
% 0.84/1.18 'e_2' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 227, [ equalish( X, 'e_2' ), product( 'e_2', 'e_1', 'e_1' ), ~(
% 0.84/1.18 product( X, 'e_3', 'e_1' ) ) ] )
% 0.84/1.18 , clause( 504, [ equalish( X, 'e_2' ), ~( product( X, 'e_3', 'e_1' ) ),
% 0.84/1.18 product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.84/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.84/1.18 2 ), ==>( 2, 1 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 505, [ equalish( 'e_1', 'e_2' ), product( 'e_2', 'e_1', 'e_1' ),
% 0.84/1.18 product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_1' ), product(
% 0.84/1.18 'e_2', 'e_1', 'e_1' ) ] )
% 0.84/1.18 , clause( 227, [ equalish( X, 'e_2' ), product( 'e_2', 'e_1', 'e_1' ), ~(
% 0.84/1.18 product( X, 'e_3', 'e_1' ) ) ] )
% 0.84/1.18 , 2, clause( 156, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_2',
% 0.84/1.18 'e_1' ), product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ) ]
% 0.84/1.18 )
% 0.84/1.18 , 3, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 507, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.84/1.18 ), product( 'e_1', 'e_2', 'e_1' ), product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.84/1.18 , clause( 3, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.84/1.18 , 0, clause( 505, [ equalish( 'e_1', 'e_2' ), product( 'e_2', 'e_1', 'e_1'
% 0.84/1.18 ), product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_1' ),
% 0.84/1.18 product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.84/1.18 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 factor(
% 0.84/1.18 clause( 508, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.84/1.18 ), product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.84/1.18 , clause( 507, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_2',
% 0.84/1.18 'e_1' ), product( 'e_1', 'e_2', 'e_1' ), product( 'e_2', 'e_1', 'e_1' ) ]
% 0.84/1.18 )
% 0.84/1.18 , 0, 3, substitution( 0, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 234, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_2', 'e_1'
% 0.84/1.18 ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.84/1.18 , clause( 508, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_2',
% 0.84/1.18 'e_1' ), product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.84/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2
% 0.84/1.18 , 1 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 510, [ equalish( 'e_2', 'e_3' ), product( 'e_2', 'e_1', 'e_1' ),
% 0.84/1.18 product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.84/1.18 , clause( 225, [ equalish( X, 'e_3' ), product( 'e_2', 'e_1', 'e_1' ), ~(
% 0.84/1.18 product( 'e_2', X, 'e_1' ) ) ] )
% 0.84/1.18 , 2, clause( 234, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_2',
% 0.84/1.18 'e_1' ), product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.84/1.18 , 2, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 512, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_1'
% 0.84/1.18 ), product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.84/1.18 , clause( 6, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.84/1.18 , 0, clause( 510, [ equalish( 'e_2', 'e_3' ), product( 'e_2', 'e_1', 'e_1'
% 0.84/1.18 ), product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.84/1.18 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 factor(
% 0.84/1.18 clause( 513, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_2', 'e_1'
% 0.84/1.18 ) ] )
% 0.84/1.18 , clause( 512, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1',
% 0.84/1.18 'e_1' ), product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.84/1.18 , 0, 1, substitution( 0, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 235, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_2', 'e_1'
% 0.84/1.18 ) ] )
% 0.84/1.18 , clause( 513, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_2',
% 0.84/1.18 'e_1' ) ] )
% 0.84/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.84/1.18 ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 517, [ ~( product( 'e_1', X, 'e_2' ) ), product( 'e_1', X, 'e_1' )
% 0.84/1.18 , product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.84/1.18 , clause( 13, [ ~( product( X, Y, Z ) ), product( T, Y, X ), ~( product( X
% 0.84/1.18 , Z, T ) ) ] )
% 0.84/1.18 , 2, clause( 235, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_2',
% 0.84/1.18 'e_1' ) ] )
% 0.84/1.18 , 1, substitution( 0, [ :=( X, 'e_1' ), :=( Y, X ), :=( Z, 'e_2' ), :=( T,
% 0.84/1.18 'e_1' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 236, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', X, 'e_1' ),
% 0.84/1.18 ~( product( 'e_1', X, 'e_2' ) ) ] )
% 0.84/1.18 , clause( 517, [ ~( product( 'e_1', X, 'e_2' ) ), product( 'e_1', X, 'e_1'
% 0.84/1.18 ), product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.84/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.84/1.18 1 ), ==>( 2, 0 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 521, [ equalish( X, 'e_2' ), ~( product( 'e_1', X, 'e_1' ) ),
% 0.84/1.18 product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.84/1.18 , clause( 11, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.84/1.18 , Z ) ) ] )
% 0.84/1.18 , 2, clause( 235, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_2',
% 0.84/1.18 'e_1' ) ] )
% 0.84/1.18 , 1, substitution( 0, [ :=( X, 'e_1' ), :=( Y, X ), :=( Z, 'e_1' ), :=( T,
% 0.84/1.18 'e_2' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 237, [ equalish( X, 'e_2' ), product( 'e_2', 'e_1', 'e_1' ), ~(
% 0.84/1.18 product( 'e_1', X, 'e_1' ) ) ] )
% 0.84/1.18 , clause( 521, [ equalish( X, 'e_2' ), ~( product( 'e_1', X, 'e_1' ) ),
% 0.84/1.18 product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.84/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.84/1.18 2 ), ==>( 2, 1 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 522, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , clause( 236, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', X, 'e_1' )
% 0.84/1.18 , ~( product( 'e_1', X, 'e_2' ) ) ] )
% 0.84/1.18 , 2, clause( 66, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_3',
% 0.84/1.18 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.84/1.18 , 2, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 factor(
% 0.84/1.18 clause( 523, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , clause( 522, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_3',
% 0.84/1.18 'e_1' ), product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_1' ) ]
% 0.84/1.18 )
% 0.84/1.18 , 1, 2, substitution( 0, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 246, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , clause( 523, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_3',
% 0.84/1.18 'e_1' ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.84/1.18 , 2 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 525, [ equalish( 'e_3', 'e_2' ), product( 'e_2', 'e_1', 'e_1' ),
% 0.84/1.18 product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , clause( 227, [ equalish( X, 'e_2' ), product( 'e_2', 'e_1', 'e_1' ), ~(
% 0.84/1.18 product( X, 'e_3', 'e_1' ) ) ] )
% 0.84/1.18 , 2, clause( 246, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_3',
% 0.84/1.18 'e_1' ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , 2, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 528, [ equalish( 'e_3', 'e_2' ), product( 'e_2', 'e_1', 'e_1' ),
% 0.84/1.18 equalish( 'e_3', 'e_2' ), product( 'e_2', 'e_1', 'e_1' ), product( 'e_2'
% 0.84/1.18 , 'e_1', 'e_1' ) ] )
% 0.84/1.18 , clause( 237, [ equalish( X, 'e_2' ), product( 'e_2', 'e_1', 'e_1' ), ~(
% 0.84/1.18 product( 'e_1', X, 'e_1' ) ) ] )
% 0.84/1.18 , 2, clause( 525, [ equalish( 'e_3', 'e_2' ), product( 'e_2', 'e_1', 'e_1'
% 0.84/1.18 ), product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , 3, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 factor(
% 0.84/1.18 clause( 530, [ equalish( 'e_3', 'e_2' ), product( 'e_2', 'e_1', 'e_1' ),
% 0.84/1.18 equalish( 'e_3', 'e_2' ), product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.84/1.18 , clause( 528, [ equalish( 'e_3', 'e_2' ), product( 'e_2', 'e_1', 'e_1' ),
% 0.84/1.18 equalish( 'e_3', 'e_2' ), product( 'e_2', 'e_1', 'e_1' ), product( 'e_2'
% 0.84/1.18 , 'e_1', 'e_1' ) ] )
% 0.84/1.18 , 1, 3, substitution( 0, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 factor(
% 0.84/1.18 clause( 532, [ equalish( 'e_3', 'e_2' ), product( 'e_2', 'e_1', 'e_1' ),
% 0.84/1.18 equalish( 'e_3', 'e_2' ) ] )
% 0.84/1.18 , clause( 530, [ equalish( 'e_3', 'e_2' ), product( 'e_2', 'e_1', 'e_1' ),
% 0.84/1.18 equalish( 'e_3', 'e_2' ), product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.84/1.18 , 1, 3, substitution( 0, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 factor(
% 0.84/1.18 clause( 533, [ equalish( 'e_3', 'e_2' ), product( 'e_2', 'e_1', 'e_1' ) ]
% 0.84/1.18 )
% 0.84/1.18 , clause( 532, [ equalish( 'e_3', 'e_2' ), product( 'e_2', 'e_1', 'e_1' ),
% 0.84/1.18 equalish( 'e_3', 'e_2' ) ] )
% 0.84/1.18 , 0, 2, substitution( 0, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 247, [ equalish( 'e_3', 'e_2' ), product( 'e_2', 'e_1', 'e_1' ) ]
% 0.84/1.18 )
% 0.84/1.18 , clause( 533, [ equalish( 'e_3', 'e_2' ), product( 'e_2', 'e_1', 'e_1' ) ]
% 0.84/1.18 )
% 0.84/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.84/1.18 ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 534, [ product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.84/1.18 , clause( 8, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.84/1.18 , 0, clause( 247, [ equalish( 'e_3', 'e_2' ), product( 'e_2', 'e_1', 'e_1'
% 0.84/1.18 ) ] )
% 0.84/1.18 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 253, [ product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.84/1.18 , clause( 534, [ product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.84/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 536, [ ~( product( 'e_2', X, 'e_1' ) ), product( 'e_1', X, 'e_2' )
% 0.84/1.18 ] )
% 0.84/1.18 , clause( 13, [ ~( product( X, Y, Z ) ), product( T, Y, X ), ~( product( X
% 0.84/1.18 , Z, T ) ) ] )
% 0.84/1.18 , 2, clause( 253, [ product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.84/1.18 , 0, substitution( 0, [ :=( X, 'e_2' ), :=( Y, X ), :=( Z, 'e_1' ), :=( T,
% 0.84/1.18 'e_1' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 261, [ product( 'e_1', X, 'e_2' ), ~( product( 'e_2', X, 'e_1' ) )
% 0.84/1.18 ] )
% 0.84/1.18 , clause( 536, [ ~( product( 'e_2', X, 'e_1' ) ), product( 'e_1', X, 'e_2'
% 0.84/1.18 ) ] )
% 0.84/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.84/1.18 0 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 538, [ equalish( X, 'e_1' ), ~( product( 'e_2', X, 'e_1' ) ) ] )
% 0.84/1.18 , clause( 11, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.84/1.18 , Z ) ) ] )
% 0.84/1.18 , 2, clause( 253, [ product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.84/1.18 , 0, substitution( 0, [ :=( X, 'e_2' ), :=( Y, X ), :=( Z, 'e_1' ), :=( T,
% 0.84/1.18 'e_1' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 262, [ equalish( X, 'e_1' ), ~( product( 'e_2', X, 'e_1' ) ) ] )
% 0.84/1.18 , clause( 538, [ equalish( X, 'e_1' ), ~( product( 'e_2', X, 'e_1' ) ) ] )
% 0.84/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.84/1.18 1 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 539, [ product( 'e_1', 'e_1', 'e_2' ) ] )
% 0.84/1.18 , clause( 18, [ product( Y, Y, X ), ~( product( X, Y, Y ) ) ] )
% 0.84/1.18 , 1, clause( 253, [ product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.84/1.18 , 0, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_1' )] ), substitution( 1
% 0.84/1.18 , [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 265, [ product( 'e_1', 'e_1', 'e_2' ) ] )
% 0.84/1.18 , clause( 539, [ product( 'e_1', 'e_1', 'e_2' ) ] )
% 0.84/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 540, [ product( 'e_1', 'e_3', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 0.84/1.18 product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , clause( 74, [ product( 'e_1', 'e_3', 'e_1' ), equalish( X, 'e_3' ),
% 0.84/1.18 product( 'e_3', 'e_3', 'e_1' ), ~( product( 'e_1', X, 'e_2' ) ) ] )
% 0.84/1.18 , 3, clause( 265, [ product( 'e_1', 'e_1', 'e_2' ) ] )
% 0.84/1.18 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 541, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_1'
% 0.84/1.18 ) ] )
% 0.84/1.18 , clause( 4, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.84/1.18 , 0, clause( 540, [ product( 'e_1', 'e_3', 'e_1' ), equalish( 'e_1', 'e_3'
% 0.84/1.18 ), product( 'e_3', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 266, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_3', 'e_1'
% 0.84/1.18 ) ] )
% 0.84/1.18 , clause( 541, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_3',
% 0.84/1.18 'e_1' ) ] )
% 0.84/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.84/1.18 ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 543, [ ~( product( 'e_1', X, 'e_1' ) ), product( 'e_2', X, 'e_1' )
% 0.84/1.18 ] )
% 0.84/1.18 , clause( 13, [ ~( product( X, Y, Z ) ), product( T, Y, X ), ~( product( X
% 0.84/1.18 , Z, T ) ) ] )
% 0.84/1.18 , 2, clause( 265, [ product( 'e_1', 'e_1', 'e_2' ) ] )
% 0.84/1.18 , 0, substitution( 0, [ :=( X, 'e_1' ), :=( Y, X ), :=( Z, 'e_1' ), :=( T,
% 0.84/1.18 'e_2' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 268, [ product( 'e_2', X, 'e_1' ), ~( product( 'e_1', X, 'e_1' ) )
% 0.84/1.18 ] )
% 0.84/1.18 , clause( 543, [ ~( product( 'e_1', X, 'e_1' ) ), product( 'e_2', X, 'e_1'
% 0.84/1.18 ) ] )
% 0.84/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.84/1.18 0 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 545, [ equalish( X, 'e_1' ), ~( product( 'e_1', X, 'e_2' ) ) ] )
% 0.84/1.18 , clause( 11, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.84/1.18 , Z ) ) ] )
% 0.84/1.18 , 2, clause( 265, [ product( 'e_1', 'e_1', 'e_2' ) ] )
% 0.84/1.18 , 0, substitution( 0, [ :=( X, 'e_1' ), :=( Y, X ), :=( Z, 'e_2' ), :=( T,
% 0.84/1.18 'e_1' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 269, [ equalish( X, 'e_1' ), ~( product( 'e_1', X, 'e_2' ) ) ] )
% 0.84/1.18 , clause( 545, [ equalish( X, 'e_1' ), ~( product( 'e_1', X, 'e_2' ) ) ] )
% 0.84/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.84/1.18 1 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 546, [ product( 'e_2', 'e_3', 'e_1' ), equalish( 'e_1', 'e_2' ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_2' ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , clause( 84, [ product( 'e_2', 'e_3', 'e_1' ), equalish( X, 'e_2' ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_2' ), ~( product( 'e_3', 'e_3', X ) ) ] )
% 0.84/1.18 , 3, clause( 266, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_3', 'e_3',
% 0.84/1.18 'e_1' ) ] )
% 0.84/1.18 , 1, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 547, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.84/1.18 ), equalish( 'e_1', 'e_2' ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.84/1.18 , clause( 268, [ product( 'e_2', X, 'e_1' ), ~( product( 'e_1', X, 'e_1' )
% 0.84/1.18 ) ] )
% 0.84/1.18 , 1, clause( 546, [ product( 'e_2', 'e_3', 'e_1' ), equalish( 'e_1', 'e_2'
% 0.84/1.18 ), product( 'e_2', 'e_3', 'e_2' ), product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , 3, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 factor(
% 0.84/1.18 clause( 548, [ product( 'e_2', 'e_3', 'e_1' ), equalish( 'e_1', 'e_2' ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.84/1.18 , clause( 547, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3',
% 0.84/1.18 'e_1' ), equalish( 'e_1', 'e_2' ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.84/1.18 , 0, 1, substitution( 0, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 277, [ equalish( 'e_1', 'e_2' ), product( 'e_2', 'e_3', 'e_1' ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.84/1.18 , clause( 548, [ product( 'e_2', 'e_3', 'e_1' ), equalish( 'e_1', 'e_2' ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.84/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.84/1.18 , 2 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 549, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2'
% 0.84/1.18 ) ] )
% 0.84/1.18 , clause( 3, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.84/1.18 , 0, clause( 277, [ equalish( 'e_1', 'e_2' ), product( 'e_2', 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.84/1.18 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 282, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2'
% 0.84/1.18 ) ] )
% 0.84/1.18 , clause( 549, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3',
% 0.84/1.18 'e_2' ) ] )
% 0.84/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.84/1.18 ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 550, [ product( 'e_1', 'e_2', 'e_2' ), product( 'e_1', 'e_2', 'e_1'
% 0.84/1.18 ), product( 'e_1', 'e_2', 'e_2' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.84/1.18 , clause( 261, [ product( 'e_1', X, 'e_2' ), ~( product( 'e_2', X, 'e_1' )
% 0.84/1.18 ) ] )
% 0.84/1.18 , 1, clause( 110, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_2',
% 0.84/1.18 'e_1' ), product( 'e_1', 'e_2', 'e_2' ), product( 'e_2', 'e_2', 'e_2' ) ]
% 0.84/1.18 )
% 0.84/1.18 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 factor(
% 0.84/1.18 clause( 551, [ product( 'e_1', 'e_2', 'e_2' ), product( 'e_1', 'e_2', 'e_1'
% 0.84/1.18 ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.84/1.18 , clause( 550, [ product( 'e_1', 'e_2', 'e_2' ), product( 'e_1', 'e_2',
% 0.84/1.18 'e_1' ), product( 'e_1', 'e_2', 'e_2' ), product( 'e_2', 'e_2', 'e_2' ) ]
% 0.84/1.18 )
% 0.84/1.18 , 0, 2, substitution( 0, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 283, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_2'
% 0.84/1.18 ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.84/1.18 , clause( 551, [ product( 'e_1', 'e_2', 'e_2' ), product( 'e_1', 'e_2',
% 0.84/1.18 'e_1' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.84/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.84/1.18 , 2 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 555, [ equalish( X, 'e_3' ), ~( product( 'e_2', X, 'e_2' ) ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , clause( 11, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.84/1.18 , Z ) ) ] )
% 0.84/1.18 , 2, clause( 282, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3',
% 0.84/1.18 'e_2' ) ] )
% 0.84/1.18 , 1, substitution( 0, [ :=( X, 'e_2' ), :=( Y, X ), :=( Z, 'e_2' ), :=( T,
% 0.84/1.18 'e_3' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 286, [ equalish( X, 'e_3' ), product( 'e_2', 'e_3', 'e_1' ), ~(
% 0.84/1.18 product( 'e_2', X, 'e_2' ) ) ] )
% 0.84/1.18 , clause( 555, [ equalish( X, 'e_3' ), ~( product( 'e_2', X, 'e_2' ) ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.84/1.18 2 ), ==>( 2, 1 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 556, [ equalish( 'e_2', 'e_3' ), product( 'e_2', 'e_3', 'e_1' ),
% 0.84/1.18 product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.84/1.18 , clause( 286, [ equalish( X, 'e_3' ), product( 'e_2', 'e_3', 'e_1' ), ~(
% 0.84/1.18 product( 'e_2', X, 'e_2' ) ) ] )
% 0.84/1.18 , 2, clause( 283, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2',
% 0.84/1.18 'e_2' ), product( 'e_2', 'e_2', 'e_2' ) ] )
% 0.84/1.18 , 2, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 557, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_1', 'e_2', 'e_1'
% 0.84/1.18 ), product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.84/1.18 , clause( 6, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.84/1.18 , 0, clause( 556, [ equalish( 'e_2', 'e_3' ), product( 'e_2', 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.84/1.18 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 301, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.84/1.18 ), product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.84/1.18 , clause( 557, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_1', 'e_2',
% 0.84/1.18 'e_1' ), product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.84/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.84/1.18 , 2 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 558, [ equalish( 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_1' ),
% 0.84/1.18 product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , clause( 269, [ equalish( X, 'e_1' ), ~( product( 'e_1', X, 'e_2' ) ) ] )
% 0.84/1.18 , 1, clause( 301, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_2', 'e_3',
% 0.84/1.18 'e_1' ), product( 'e_1', 'e_2', 'e_2' ) ] )
% 0.84/1.18 , 2, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 559, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.84/1.18 ) ] )
% 0.84/1.18 , clause( 5, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.84/1.18 , 0, clause( 558, [ equalish( 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_1'
% 0.84/1.18 ), product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.84/1.18 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 307, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_2', 'e_3', 'e_1'
% 0.84/1.18 ) ] )
% 0.84/1.18 , clause( 559, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_2', 'e_3',
% 0.84/1.18 'e_1' ) ] )
% 0.84/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.84/1.18 ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 560, [ equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_2', 'e_1' ) ]
% 0.84/1.18 )
% 0.84/1.18 , clause( 262, [ equalish( X, 'e_1' ), ~( product( 'e_2', X, 'e_1' ) ) ] )
% 0.84/1.18 , 1, clause( 307, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_2', 'e_3',
% 0.84/1.18 'e_1' ) ] )
% 0.84/1.18 , 1, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 561, [ product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.84/1.18 , clause( 7, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.84/1.18 , 0, clause( 560, [ equalish( 'e_3', 'e_1' ), product( 'e_1', 'e_2', 'e_1'
% 0.84/1.18 ) ] )
% 0.84/1.18 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 311, [ product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.84/1.18 , clause( 561, [ product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.84/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 562, [ product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.84/1.18 , clause( 268, [ product( 'e_2', X, 'e_1' ), ~( product( 'e_1', X, 'e_1' )
% 0.84/1.18 ) ] )
% 0.84/1.18 , 1, clause( 311, [ product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.84/1.18 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 312, [ product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.84/1.18 , clause( 562, [ product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.84/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 563, [ equalish( 'e_2', 'e_1' ) ] )
% 0.84/1.18 , clause( 262, [ equalish( X, 'e_1' ), ~( product( 'e_2', X, 'e_1' ) ) ] )
% 0.84/1.18 , 1, clause( 312, [ product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.84/1.18 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 resolution(
% 0.84/1.18 clause( 564, [] )
% 0.84/1.18 , clause( 5, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.84/1.18 , 0, clause( 563, [ equalish( 'e_2', 'e_1' ) ] )
% 0.84/1.18 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 subsumption(
% 0.84/1.18 clause( 318, [] )
% 0.84/1.18 , clause( 564, [] )
% 0.84/1.18 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 end.
% 0.84/1.18
% 0.84/1.18 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.84/1.18
% 0.84/1.18 Memory use:
% 0.84/1.18
% 0.84/1.18 space for terms: 4915
% 0.84/1.18 space for clauses: 14652
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 clauses generated: 1005
% 0.84/1.18 clauses kept: 319
% 0.84/1.18 clauses selected: 169
% 0.84/1.18 clauses deleted: 38
% 0.84/1.18 clauses inuse deleted: 0
% 0.84/1.18
% 0.84/1.18 subsentry: 3526
% 0.84/1.18 literals s-matched: 2155
% 0.84/1.18 literals matched: 1517
% 0.84/1.18 full subsumption: 259
% 0.84/1.18
% 0.84/1.18 checksum: 805470830
% 0.84/1.18
% 0.84/1.18
% 0.84/1.18 Bliksem ended
%------------------------------------------------------------------------------