TSTP Solution File: GRP126-1.004 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP126-1.004 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 07:35:12 EDT 2022
% Result : Unsatisfiable 0.66s 1.07s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP126-1.004 : TPTP v8.1.0. Released v1.2.0.
% 0.11/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Mon Jun 13 07:47:10 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.66/1.07 *** allocated 10000 integers for termspace/termends
% 0.66/1.07 *** allocated 10000 integers for clauses
% 0.66/1.07 *** allocated 10000 integers for justifications
% 0.66/1.07 Bliksem 1.12
% 0.66/1.07
% 0.66/1.07
% 0.66/1.07 Automatic Strategy Selection
% 0.66/1.07
% 0.66/1.07 Clauses:
% 0.66/1.07 [
% 0.66/1.07 [ 'group_element'( 'e_1' ) ],
% 0.66/1.07 [ 'group_element'( 'e_2' ) ],
% 0.66/1.07 [ 'group_element'( 'e_3' ) ],
% 0.66/1.07 [ 'group_element'( 'e_4' ) ],
% 0.66/1.07 [ ~( equalish( 'e_1', 'e_2' ) ) ],
% 0.66/1.07 [ ~( equalish( 'e_1', 'e_3' ) ) ],
% 0.66/1.07 [ ~( equalish( 'e_1', 'e_4' ) ) ],
% 0.66/1.07 [ ~( equalish( 'e_2', 'e_1' ) ) ],
% 0.66/1.07 [ ~( equalish( 'e_2', 'e_3' ) ) ],
% 0.66/1.07 [ ~( equalish( 'e_2', 'e_4' ) ) ],
% 0.66/1.07 [ ~( equalish( 'e_3', 'e_1' ) ) ],
% 0.66/1.07 [ ~( equalish( 'e_3', 'e_2' ) ) ],
% 0.66/1.07 [ ~( equalish( 'e_3', 'e_4' ) ) ],
% 0.66/1.07 [ ~( equalish( 'e_4', 'e_1' ) ) ],
% 0.66/1.07 [ ~( equalish( 'e_4', 'e_2' ) ) ],
% 0.66/1.07 [ ~( equalish( 'e_4', 'e_3' ) ) ],
% 0.66/1.07 [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ), product( X, Y,
% 0.66/1.07 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ), product( X, Y,
% 0.66/1.07 'e_4' ) ],
% 0.66/1.07 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish( Z, T ) ]
% 0.66/1.07 ,
% 0.66/1.07 [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish( Y, T ) ]
% 0.66/1.07 ,
% 0.66/1.07 [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish( X, T ) ]
% 0.66/1.07 ,
% 0.66/1.07 [ product( X, X, X ) ],
% 0.66/1.07 [ ~( product( X, Y, Z ) ), ~( product( Y, X, T ) ), product( Z, T, Y ) ]
% 0.66/1.07
% 0.66/1.07 ] .
% 0.66/1.07
% 0.66/1.07
% 0.66/1.07 percentage equality = 0.000000, percentage horn = 0.954545
% 0.66/1.07 This is a near-Horn, non-equality problem
% 0.66/1.07
% 0.66/1.07
% 0.66/1.07 Options Used:
% 0.66/1.07
% 0.66/1.07 useres = 1
% 0.66/1.07 useparamod = 0
% 0.66/1.07 useeqrefl = 0
% 0.66/1.07 useeqfact = 0
% 0.66/1.07 usefactor = 1
% 0.66/1.07 usesimpsplitting = 0
% 0.66/1.07 usesimpdemod = 0
% 0.66/1.07 usesimpres = 4
% 0.66/1.07
% 0.66/1.07 resimpinuse = 1000
% 0.66/1.07 resimpclauses = 20000
% 0.66/1.07 substype = standard
% 0.66/1.07 backwardsubs = 1
% 0.66/1.07 selectoldest = 5
% 0.66/1.07
% 0.66/1.07 litorderings [0] = split
% 0.66/1.07 litorderings [1] = liftord
% 0.66/1.07
% 0.66/1.07 termordering = none
% 0.66/1.07
% 0.66/1.07 litapriori = 1
% 0.66/1.07 termapriori = 0
% 0.66/1.07 litaposteriori = 0
% 0.66/1.07 termaposteriori = 0
% 0.66/1.07 demodaposteriori = 0
% 0.66/1.07 ordereqreflfact = 0
% 0.66/1.07
% 0.66/1.07 litselect = negative
% 0.66/1.07
% 0.66/1.07 maxweight = 30000
% 0.66/1.07 maxdepth = 30000
% 0.66/1.07 maxlength = 115
% 0.66/1.07 maxnrvars = 195
% 0.66/1.07 excuselevel = 0
% 0.66/1.07 increasemaxweight = 0
% 0.66/1.07
% 0.66/1.07 maxselected = 10000000
% 0.66/1.07 maxnrclauses = 10000000
% 0.66/1.07
% 0.66/1.07 showgenerated = 0
% 0.66/1.07 showkept = 0
% 0.66/1.07 showselected = 0
% 0.66/1.07 showdeleted = 0
% 0.66/1.07 showresimp = 1
% 0.66/1.07 showstatus = 2000
% 0.66/1.07
% 0.66/1.07 prologoutput = 1
% 0.66/1.07 nrgoals = 5000000
% 0.66/1.07 totalproof = 1
% 0.66/1.07
% 0.66/1.07 Symbols occurring in the translation:
% 0.66/1.07
% 0.66/1.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.66/1.07 . [1, 2] (w:1, o:25, a:1, s:1, b:0),
% 0.66/1.07 ! [4, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.66/1.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.66/1.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.66/1.07 'e_1' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.66/1.07 'group_element' [40, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.66/1.07 'e_2' [41, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.66/1.07 'e_3' [42, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.66/1.07 'e_4' [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.66/1.07 equalish [44, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.66/1.07 product [47, 3] (w:1, o:51, a:1, s:1, b:0).
% 0.66/1.07
% 0.66/1.07
% 0.66/1.07 Starting Search:
% 0.66/1.07
% 0.66/1.07
% 0.66/1.07 Bliksems!, er is een bewijs:
% 0.66/1.07 % SZS status Unsatisfiable
% 0.66/1.07 % SZS output start Refutation
% 0.66/1.07
% 0.66/1.07 clause( 0, [ 'group_element'( 'e_1' ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 1, [ 'group_element'( 'e_2' ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 2, [ 'group_element'( 'e_3' ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 3, [ 'group_element'( 'e_4' ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 6, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 7, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 8, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 9, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 10, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 11, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 12, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 13, [ ~( equalish( 'e_4', 'e_1' ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 14, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 15, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 16, [ ~( 'group_element'( X ) ), product( X, Y, 'e_4' ), product( X
% 0.66/1.07 , Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ), ~(
% 0.66/1.07 'group_element'( Y ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 17, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y,
% 0.66/1.07 T ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 18, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T,
% 0.66/1.07 Z ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 19, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y,
% 0.66/1.07 Z ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 20, [ product( X, X, X ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 21, [ ~( product( X, Y, Z ) ), product( Z, T, Y ), ~( product( Y, X
% 0.66/1.07 , T ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 29, [ product( X, 'e_2', 'e_4' ), product( X, 'e_2', 'e_1' ),
% 0.66/1.07 product( X, 'e_2', 'e_2' ), product( X, 'e_2', 'e_3' ), ~(
% 0.66/1.07 'group_element'( X ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 30, [ product( X, 'e_3', 'e_4' ), product( X, 'e_3', 'e_1' ),
% 0.66/1.07 product( X, 'e_3', 'e_2' ), product( X, 'e_3', 'e_3' ), ~(
% 0.66/1.07 'group_element'( X ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 31, [ product( X, 'e_4', 'e_4' ), product( X, 'e_4', 'e_1' ),
% 0.66/1.07 product( X, 'e_4', 'e_2' ), product( X, 'e_4', 'e_3' ), ~(
% 0.66/1.07 'group_element'( X ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 32, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 33, [ equalish( X, Y ), ~( product( Y, Y, X ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 34, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 49, [ product( 'e_4', 'e_2', 'e_1' ), product( 'e_4', 'e_2', 'e_2'
% 0.66/1.07 ), product( 'e_4', 'e_2', 'e_3' ), product( 'e_4', 'e_2', 'e_4' ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 59, [ product( 'e_4', 'e_2', 'e_1' ), product( 'e_4', 'e_2', 'e_2'
% 0.66/1.07 ), product( 'e_4', 'e_2', 'e_3' ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 66, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3', 'e_2'
% 0.66/1.07 ), product( 'e_4', 'e_3', 'e_3' ), product( 'e_4', 'e_3', 'e_4' ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 71, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_2'
% 0.66/1.07 ), product( 'e_1', 'e_4', 'e_3' ), product( 'e_1', 'e_4', 'e_4' ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 72, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_2'
% 0.66/1.07 ), product( 'e_2', 'e_4', 'e_3' ), product( 'e_2', 'e_4', 'e_4' ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 73, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4', 'e_2'
% 0.66/1.07 ), product( 'e_3', 'e_4', 'e_3' ), product( 'e_3', 'e_4', 'e_4' ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 77, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_2'
% 0.66/1.07 ), product( 'e_1', 'e_4', 'e_3' ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 81, [ product( 'e_1', 'e_4', 'e_1' ), equalish( X, 'e_1' ), product(
% 0.66/1.07 'e_1', 'e_4', 'e_2' ), ~( product( X, 'e_4', 'e_3' ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 102, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_2'
% 0.66/1.07 ), product( 'e_2', 'e_4', 'e_3' ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 103, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_1'
% 0.66/1.07 ), product( 'e_1', 'e_4', 'e_2' ), product( 'e_2', 'e_4', 'e_2' ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 105, [ product( 'e_2', 'e_4', 'e_1' ), equalish( X, 'e_4' ),
% 0.66/1.07 product( 'e_2', 'e_4', 'e_2' ), ~( product( 'e_2', X, 'e_3' ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 109, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_1'
% 0.66/1.07 ), product( 'e_1', 'e_4', 'e_2' ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 114, [ product( 'e_1', 'e_4', 'e_1' ), equalish( X, 'e_1' ),
% 0.66/1.07 product( 'e_2', 'e_4', 'e_1' ), ~( product( X, 'e_4', 'e_2' ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 119, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4', 'e_2'
% 0.66/1.07 ), product( 'e_3', 'e_4', 'e_3' ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 123, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4', 'e_2'
% 0.66/1.07 ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 124, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_1'
% 0.66/1.07 ), product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 125, [ product( 'e_3', 'e_4', 'e_1' ), product( X, 'e_2', 'e_3' ),
% 0.66/1.07 ~( product( 'e_4', 'e_3', X ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 126, [ equalish( X, 'e_4' ), product( 'e_3', 'e_4', 'e_1' ), ~(
% 0.66/1.07 product( 'e_3', X, 'e_2' ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 141, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3', 'e_2'
% 0.66/1.07 ), product( 'e_4', 'e_3', 'e_3' ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 148, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3', 'e_2'
% 0.66/1.07 ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 150, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_3', 'e_4', 'e_1'
% 0.66/1.07 ), product( 'e_2', 'e_2', 'e_3' ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 162, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_3', 'e_4', 'e_1'
% 0.66/1.07 ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 163, [ product( 'e_4', 'e_3', 'e_1' ), product( X, 'e_1', 'e_3' ),
% 0.66/1.07 ~( product( 'e_4', 'e_3', X ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 166, [ equalish( X, 'e_3' ), product( 'e_4', 'e_3', 'e_1' ), ~(
% 0.66/1.07 product( X, 'e_4', 'e_1' ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 172, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_2', 'e_1', 'e_3'
% 0.66/1.07 ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 175, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_2', 'e_4', 'e_1'
% 0.66/1.07 ), product( 'e_2', 'e_4', 'e_2' ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 185, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_2', 'e_4', 'e_1'
% 0.66/1.07 ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 186, [ product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 188, [ product( X, 'e_1', 'e_4' ), ~( product( 'e_3', 'e_4', X ) )
% 0.66/1.07 ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 189, [ equalish( X, 'e_3' ), ~( product( 'e_4', X, 'e_1' ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 198, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_1'
% 0.66/1.07 ), product( 'e_1', 'e_1', 'e_4' ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 212, [ equalish( 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_1' ) ]
% 0.66/1.07 )
% 0.66/1.07 .
% 0.66/1.07 clause( 217, [ product( 'e_2', 'e_4', 'e_1' ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 218, [ product( X, 'e_1', 'e_2' ), ~( product( 'e_4', 'e_2', X ) )
% 0.66/1.07 ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 221, [ equalish( X, 'e_2' ), ~( product( X, 'e_4', 'e_1' ) ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 223, [ product( 'e_4', 'e_2', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.66/1.07 ), product( 'e_4', 'e_2', 'e_2' ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 231, [ product( 'e_4', 'e_2', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.66/1.07 ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 232, [ product( 'e_4', 'e_2', 'e_1' ), product( 'e_3', 'e_4', 'e_1'
% 0.66/1.07 ) ] )
% 0.66/1.07 .
% 0.66/1.07 clause( 238, [ product( 'e_4', 'e_2', 'e_1' ) ] )
% 0.72/1.07 .
% 0.72/1.07 clause( 240, [] )
% 0.72/1.07 .
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 % SZS output end Refutation
% 0.72/1.07 found a proof!
% 0.72/1.07
% 0.72/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.07
% 0.72/1.07 initialclauses(
% 0.72/1.07 [ clause( 242, [ 'group_element'( 'e_1' ) ] )
% 0.72/1.07 , clause( 243, [ 'group_element'( 'e_2' ) ] )
% 0.72/1.07 , clause( 244, [ 'group_element'( 'e_3' ) ] )
% 0.72/1.07 , clause( 245, [ 'group_element'( 'e_4' ) ] )
% 0.72/1.07 , clause( 246, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.72/1.07 , clause( 247, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.72/1.07 , clause( 248, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.72/1.07 , clause( 249, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.72/1.07 , clause( 250, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.72/1.07 , clause( 251, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 0.72/1.07 , clause( 252, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.72/1.07 , clause( 253, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.72/1.07 , clause( 254, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.72/1.07 , clause( 255, [ ~( equalish( 'e_4', 'e_1' ) ) ] )
% 0.72/1.07 , clause( 256, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.72/1.07 , clause( 257, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.72/1.07 , clause( 258, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.72/1.07 product( X, Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ),
% 0.72/1.07 product( X, Y, 'e_4' ) ] )
% 0.72/1.07 , clause( 259, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish(
% 0.72/1.07 Z, T ) ] )
% 0.72/1.07 , clause( 260, [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish(
% 0.72/1.07 Y, T ) ] )
% 0.72/1.07 , clause( 261, [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish(
% 0.72/1.07 X, T ) ] )
% 0.72/1.07 , clause( 262, [ product( X, X, X ) ] )
% 0.72/1.07 , clause( 263, [ ~( product( X, Y, Z ) ), ~( product( Y, X, T ) ), product(
% 0.72/1.07 Z, T, Y ) ] )
% 0.72/1.07 ] ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 0, [ 'group_element'( 'e_1' ) ] )
% 0.72/1.07 , clause( 242, [ 'group_element'( 'e_1' ) ] )
% 0.72/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 1, [ 'group_element'( 'e_2' ) ] )
% 0.72/1.07 , clause( 243, [ 'group_element'( 'e_2' ) ] )
% 0.72/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 2, [ 'group_element'( 'e_3' ) ] )
% 0.72/1.07 , clause( 244, [ 'group_element'( 'e_3' ) ] )
% 0.72/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 3, [ 'group_element'( 'e_4' ) ] )
% 0.72/1.07 , clause( 245, [ 'group_element'( 'e_4' ) ] )
% 0.72/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 6, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.72/1.07 , clause( 248, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.72/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 7, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.72/1.07 , clause( 249, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.72/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 8, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.72/1.07 , clause( 250, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.72/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 9, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 0.72/1.07 , clause( 251, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 0.72/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 10, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.72/1.07 , clause( 252, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.72/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 11, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.72/1.07 , clause( 253, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.72/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 12, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.72/1.07 , clause( 254, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.72/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 13, [ ~( equalish( 'e_4', 'e_1' ) ) ] )
% 0.72/1.07 , clause( 255, [ ~( equalish( 'e_4', 'e_1' ) ) ] )
% 0.72/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 14, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.72/1.07 , clause( 256, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.72/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 15, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.72/1.07 , clause( 257, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.72/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 16, [ ~( 'group_element'( X ) ), product( X, Y, 'e_4' ), product( X
% 0.72/1.07 , Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ), ~(
% 0.72/1.07 'group_element'( Y ) ) ] )
% 0.72/1.07 , clause( 258, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.72/1.07 product( X, Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ),
% 0.72/1.07 product( X, Y, 'e_4' ) ] )
% 0.72/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.07 ), ==>( 1, 5 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 ), ==>( 5, 1 )] )
% 0.72/1.07 ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 17, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y,
% 0.72/1.07 T ) ) ] )
% 0.72/1.07 , clause( 259, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish(
% 0.72/1.07 Z, T ) ] )
% 0.72/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.07 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 18, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T,
% 0.72/1.07 Z ) ) ] )
% 0.72/1.07 , clause( 260, [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish(
% 0.72/1.07 Y, T ) ] )
% 0.72/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.07 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 19, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y,
% 0.72/1.07 Z ) ) ] )
% 0.72/1.07 , clause( 261, [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish(
% 0.72/1.07 X, T ) ] )
% 0.72/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.07 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 20, [ product( X, X, X ) ] )
% 0.72/1.07 , clause( 262, [ product( X, X, X ) ] )
% 0.72/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 21, [ ~( product( X, Y, Z ) ), product( Z, T, Y ), ~( product( Y, X
% 0.72/1.07 , T ) ) ] )
% 0.72/1.07 , clause( 263, [ ~( product( X, Y, Z ) ), ~( product( Y, X, T ) ), product(
% 0.72/1.07 Z, T, Y ) ] )
% 0.72/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.07 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 284, [ ~( 'group_element'( X ) ), product( X, 'e_2', 'e_4' ),
% 0.72/1.07 product( X, 'e_2', 'e_1' ), product( X, 'e_2', 'e_2' ), product( X, 'e_2'
% 0.72/1.07 , 'e_3' ) ] )
% 0.72/1.07 , clause( 16, [ ~( 'group_element'( X ) ), product( X, Y, 'e_4' ), product(
% 0.72/1.07 X, Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ), ~(
% 0.72/1.07 'group_element'( Y ) ) ] )
% 0.72/1.07 , 5, clause( 1, [ 'group_element'( 'e_2' ) ] )
% 0.72/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_2' )] ), substitution( 1, [] )
% 0.72/1.07 ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 29, [ product( X, 'e_2', 'e_4' ), product( X, 'e_2', 'e_1' ),
% 0.72/1.07 product( X, 'e_2', 'e_2' ), product( X, 'e_2', 'e_3' ), ~(
% 0.72/1.07 'group_element'( X ) ) ] )
% 0.72/1.07 , clause( 284, [ ~( 'group_element'( X ) ), product( X, 'e_2', 'e_4' ),
% 0.72/1.07 product( X, 'e_2', 'e_1' ), product( X, 'e_2', 'e_2' ), product( X, 'e_2'
% 0.72/1.07 , 'e_3' ) ] )
% 0.72/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 4 ), ==>( 1,
% 0.72/1.07 0 ), ==>( 2, 1 ), ==>( 3, 2 ), ==>( 4, 3 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 286, [ ~( 'group_element'( X ) ), product( X, 'e_3', 'e_4' ),
% 0.72/1.07 product( X, 'e_3', 'e_1' ), product( X, 'e_3', 'e_2' ), product( X, 'e_3'
% 0.72/1.07 , 'e_3' ) ] )
% 0.72/1.07 , clause( 16, [ ~( 'group_element'( X ) ), product( X, Y, 'e_4' ), product(
% 0.72/1.07 X, Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ), ~(
% 0.72/1.07 'group_element'( Y ) ) ] )
% 0.72/1.07 , 5, clause( 2, [ 'group_element'( 'e_3' ) ] )
% 0.72/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_3' )] ), substitution( 1, [] )
% 0.72/1.07 ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 30, [ product( X, 'e_3', 'e_4' ), product( X, 'e_3', 'e_1' ),
% 0.72/1.07 product( X, 'e_3', 'e_2' ), product( X, 'e_3', 'e_3' ), ~(
% 0.72/1.07 'group_element'( X ) ) ] )
% 0.72/1.07 , clause( 286, [ ~( 'group_element'( X ) ), product( X, 'e_3', 'e_4' ),
% 0.72/1.07 product( X, 'e_3', 'e_1' ), product( X, 'e_3', 'e_2' ), product( X, 'e_3'
% 0.72/1.07 , 'e_3' ) ] )
% 0.72/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 4 ), ==>( 1,
% 0.72/1.07 0 ), ==>( 2, 1 ), ==>( 3, 2 ), ==>( 4, 3 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 288, [ ~( 'group_element'( X ) ), product( X, 'e_4', 'e_4' ),
% 0.72/1.07 product( X, 'e_4', 'e_1' ), product( X, 'e_4', 'e_2' ), product( X, 'e_4'
% 0.72/1.07 , 'e_3' ) ] )
% 0.72/1.07 , clause( 16, [ ~( 'group_element'( X ) ), product( X, Y, 'e_4' ), product(
% 0.72/1.07 X, Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ), ~(
% 0.72/1.07 'group_element'( Y ) ) ] )
% 0.72/1.07 , 5, clause( 3, [ 'group_element'( 'e_4' ) ] )
% 0.72/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_4' )] ), substitution( 1, [] )
% 0.72/1.07 ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 31, [ product( X, 'e_4', 'e_4' ), product( X, 'e_4', 'e_1' ),
% 0.72/1.07 product( X, 'e_4', 'e_2' ), product( X, 'e_4', 'e_3' ), ~(
% 0.72/1.07 'group_element'( X ) ) ] )
% 0.72/1.07 , clause( 288, [ ~( 'group_element'( X ) ), product( X, 'e_4', 'e_4' ),
% 0.72/1.07 product( X, 'e_4', 'e_1' ), product( X, 'e_4', 'e_2' ), product( X, 'e_4'
% 0.72/1.07 , 'e_3' ) ] )
% 0.72/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 4 ), ==>( 1,
% 0.72/1.07 0 ), ==>( 2, 1 ), ==>( 3, 2 ), ==>( 4, 3 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 290, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.72/1.07 , clause( 19, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.72/1.07 , Z ) ) ] )
% 0.72/1.07 , 2, clause( 20, [ product( X, X, X ) ] )
% 0.72/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, Y )] ),
% 0.72/1.07 substitution( 1, [ :=( X, Y )] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 32, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.72/1.07 , clause( 290, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.72/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.07 ), ==>( 1, 1 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 292, [ equalish( X, Y ), ~( product( Y, Y, X ) ) ] )
% 0.72/1.07 , clause( 17, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y
% 0.72/1.07 , T ) ) ] )
% 0.72/1.07 , 2, clause( 20, [ product( X, X, X ) ] )
% 0.72/1.07 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Y ), :=( Z, X ), :=( T, Y )] ),
% 0.72/1.07 substitution( 1, [ :=( X, Y )] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 33, [ equalish( X, Y ), ~( product( Y, Y, X ) ) ] )
% 0.72/1.07 , clause( 292, [ equalish( X, Y ), ~( product( Y, Y, X ) ) ] )
% 0.72/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.07 ), ==>( 1, 1 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 294, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.72/1.07 , clause( 18, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.72/1.07 , Z ) ) ] )
% 0.72/1.07 , 2, clause( 20, [ product( X, X, X ) ] )
% 0.72/1.07 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Y ), :=( T, Y )] ),
% 0.72/1.07 substitution( 1, [ :=( X, Y )] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 34, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.72/1.07 , clause( 294, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.72/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.07 ), ==>( 1, 1 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 295, [ product( 'e_4', 'e_2', 'e_4' ), product( 'e_4', 'e_2', 'e_1'
% 0.72/1.07 ), product( 'e_4', 'e_2', 'e_2' ), product( 'e_4', 'e_2', 'e_3' ) ] )
% 0.72/1.07 , clause( 29, [ product( X, 'e_2', 'e_4' ), product( X, 'e_2', 'e_1' ),
% 0.72/1.07 product( X, 'e_2', 'e_2' ), product( X, 'e_2', 'e_3' ), ~(
% 0.72/1.07 'group_element'( X ) ) ] )
% 0.72/1.07 , 4, clause( 3, [ 'group_element'( 'e_4' ) ] )
% 0.72/1.07 , 0, substitution( 0, [ :=( X, 'e_4' )] ), substitution( 1, [] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 49, [ product( 'e_4', 'e_2', 'e_1' ), product( 'e_4', 'e_2', 'e_2'
% 0.72/1.07 ), product( 'e_4', 'e_2', 'e_3' ), product( 'e_4', 'e_2', 'e_4' ) ] )
% 0.72/1.07 , clause( 295, [ product( 'e_4', 'e_2', 'e_4' ), product( 'e_4', 'e_2',
% 0.72/1.07 'e_1' ), product( 'e_4', 'e_2', 'e_2' ), product( 'e_4', 'e_2', 'e_3' ) ]
% 0.72/1.07 )
% 0.72/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.72/1.07 , 1 ), ==>( 3, 2 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 296, [ equalish( 'e_2', 'e_4' ), product( 'e_4', 'e_2', 'e_1' ),
% 0.72/1.07 product( 'e_4', 'e_2', 'e_2' ), product( 'e_4', 'e_2', 'e_3' ) ] )
% 0.72/1.07 , clause( 34, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.72/1.07 , 1, clause( 49, [ product( 'e_4', 'e_2', 'e_1' ), product( 'e_4', 'e_2',
% 0.72/1.07 'e_2' ), product( 'e_4', 'e_2', 'e_3' ), product( 'e_4', 'e_2', 'e_4' ) ]
% 0.72/1.07 )
% 0.72/1.07 , 3, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_4' )] ), substitution( 1
% 0.72/1.07 , [] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 297, [ product( 'e_4', 'e_2', 'e_1' ), product( 'e_4', 'e_2', 'e_2'
% 0.72/1.07 ), product( 'e_4', 'e_2', 'e_3' ) ] )
% 0.72/1.07 , clause( 9, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 0.72/1.07 , 0, clause( 296, [ equalish( 'e_2', 'e_4' ), product( 'e_4', 'e_2', 'e_1'
% 0.72/1.07 ), product( 'e_4', 'e_2', 'e_2' ), product( 'e_4', 'e_2', 'e_3' ) ] )
% 0.72/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 59, [ product( 'e_4', 'e_2', 'e_1' ), product( 'e_4', 'e_2', 'e_2'
% 0.72/1.07 ), product( 'e_4', 'e_2', 'e_3' ) ] )
% 0.72/1.07 , clause( 297, [ product( 'e_4', 'e_2', 'e_1' ), product( 'e_4', 'e_2',
% 0.72/1.07 'e_2' ), product( 'e_4', 'e_2', 'e_3' ) ] )
% 0.72/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.72/1.07 , 2 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 298, [ product( 'e_4', 'e_3', 'e_4' ), product( 'e_4', 'e_3', 'e_1'
% 0.72/1.07 ), product( 'e_4', 'e_3', 'e_2' ), product( 'e_4', 'e_3', 'e_3' ) ] )
% 0.72/1.07 , clause( 30, [ product( X, 'e_3', 'e_4' ), product( X, 'e_3', 'e_1' ),
% 0.72/1.07 product( X, 'e_3', 'e_2' ), product( X, 'e_3', 'e_3' ), ~(
% 0.72/1.07 'group_element'( X ) ) ] )
% 0.72/1.07 , 4, clause( 3, [ 'group_element'( 'e_4' ) ] )
% 0.72/1.07 , 0, substitution( 0, [ :=( X, 'e_4' )] ), substitution( 1, [] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 66, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3', 'e_2'
% 0.72/1.07 ), product( 'e_4', 'e_3', 'e_3' ), product( 'e_4', 'e_3', 'e_4' ) ] )
% 0.72/1.07 , clause( 298, [ product( 'e_4', 'e_3', 'e_4' ), product( 'e_4', 'e_3',
% 0.72/1.07 'e_1' ), product( 'e_4', 'e_3', 'e_2' ), product( 'e_4', 'e_3', 'e_3' ) ]
% 0.72/1.07 )
% 0.72/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.72/1.07 , 1 ), ==>( 3, 2 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 299, [ product( 'e_1', 'e_4', 'e_4' ), product( 'e_1', 'e_4', 'e_1'
% 0.72/1.07 ), product( 'e_1', 'e_4', 'e_2' ), product( 'e_1', 'e_4', 'e_3' ) ] )
% 0.72/1.07 , clause( 31, [ product( X, 'e_4', 'e_4' ), product( X, 'e_4', 'e_1' ),
% 0.72/1.07 product( X, 'e_4', 'e_2' ), product( X, 'e_4', 'e_3' ), ~(
% 0.72/1.07 'group_element'( X ) ) ] )
% 0.72/1.07 , 4, clause( 0, [ 'group_element'( 'e_1' ) ] )
% 0.72/1.07 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 71, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_2'
% 0.72/1.07 ), product( 'e_1', 'e_4', 'e_3' ), product( 'e_1', 'e_4', 'e_4' ) ] )
% 0.72/1.07 , clause( 299, [ product( 'e_1', 'e_4', 'e_4' ), product( 'e_1', 'e_4',
% 0.72/1.07 'e_1' ), product( 'e_1', 'e_4', 'e_2' ), product( 'e_1', 'e_4', 'e_3' ) ]
% 0.72/1.07 )
% 0.72/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.72/1.07 , 1 ), ==>( 3, 2 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 300, [ product( 'e_2', 'e_4', 'e_4' ), product( 'e_2', 'e_4', 'e_1'
% 0.72/1.07 ), product( 'e_2', 'e_4', 'e_2' ), product( 'e_2', 'e_4', 'e_3' ) ] )
% 0.72/1.07 , clause( 31, [ product( X, 'e_4', 'e_4' ), product( X, 'e_4', 'e_1' ),
% 0.72/1.07 product( X, 'e_4', 'e_2' ), product( X, 'e_4', 'e_3' ), ~(
% 0.72/1.07 'group_element'( X ) ) ] )
% 0.72/1.07 , 4, clause( 1, [ 'group_element'( 'e_2' ) ] )
% 0.72/1.07 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 72, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_2'
% 0.72/1.07 ), product( 'e_2', 'e_4', 'e_3' ), product( 'e_2', 'e_4', 'e_4' ) ] )
% 0.72/1.07 , clause( 300, [ product( 'e_2', 'e_4', 'e_4' ), product( 'e_2', 'e_4',
% 0.72/1.07 'e_1' ), product( 'e_2', 'e_4', 'e_2' ), product( 'e_2', 'e_4', 'e_3' ) ]
% 0.72/1.07 )
% 0.72/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.72/1.07 , 1 ), ==>( 3, 2 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 301, [ product( 'e_3', 'e_4', 'e_4' ), product( 'e_3', 'e_4', 'e_1'
% 0.72/1.07 ), product( 'e_3', 'e_4', 'e_2' ), product( 'e_3', 'e_4', 'e_3' ) ] )
% 0.72/1.07 , clause( 31, [ product( X, 'e_4', 'e_4' ), product( X, 'e_4', 'e_1' ),
% 0.72/1.07 product( X, 'e_4', 'e_2' ), product( X, 'e_4', 'e_3' ), ~(
% 0.72/1.07 'group_element'( X ) ) ] )
% 0.72/1.07 , 4, clause( 2, [ 'group_element'( 'e_3' ) ] )
% 0.72/1.07 , 0, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 73, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4', 'e_2'
% 0.72/1.07 ), product( 'e_3', 'e_4', 'e_3' ), product( 'e_3', 'e_4', 'e_4' ) ] )
% 0.72/1.07 , clause( 301, [ product( 'e_3', 'e_4', 'e_4' ), product( 'e_3', 'e_4',
% 0.72/1.07 'e_1' ), product( 'e_3', 'e_4', 'e_2' ), product( 'e_3', 'e_4', 'e_3' ) ]
% 0.72/1.07 )
% 0.72/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.72/1.07 , 1 ), ==>( 3, 2 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 302, [ equalish( 'e_1', 'e_4' ), product( 'e_1', 'e_4', 'e_1' ),
% 0.72/1.07 product( 'e_1', 'e_4', 'e_2' ), product( 'e_1', 'e_4', 'e_3' ) ] )
% 0.72/1.07 , clause( 32, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.72/1.07 , 1, clause( 71, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4',
% 0.72/1.07 'e_2' ), product( 'e_1', 'e_4', 'e_3' ), product( 'e_1', 'e_4', 'e_4' ) ]
% 0.72/1.07 )
% 0.72/1.07 , 3, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_4' )] ), substitution( 1
% 0.72/1.07 , [] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 303, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_2'
% 0.72/1.07 ), product( 'e_1', 'e_4', 'e_3' ) ] )
% 0.72/1.07 , clause( 6, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.72/1.07 , 0, clause( 302, [ equalish( 'e_1', 'e_4' ), product( 'e_1', 'e_4', 'e_1'
% 0.72/1.07 ), product( 'e_1', 'e_4', 'e_2' ), product( 'e_1', 'e_4', 'e_3' ) ] )
% 0.72/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 77, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_2'
% 0.72/1.07 ), product( 'e_1', 'e_4', 'e_3' ) ] )
% 0.72/1.07 , clause( 303, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4',
% 0.72/1.07 'e_2' ), product( 'e_1', 'e_4', 'e_3' ) ] )
% 0.72/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.72/1.07 , 2 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 309, [ equalish( X, 'e_1' ), ~( product( X, 'e_4', 'e_3' ) ),
% 0.72/1.07 product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_2' ) ] )
% 0.72/1.07 , clause( 19, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.72/1.07 , Z ) ) ] )
% 0.72/1.07 , 2, clause( 77, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4',
% 0.72/1.07 'e_2' ), product( 'e_1', 'e_4', 'e_3' ) ] )
% 0.72/1.07 , 2, substitution( 0, [ :=( X, X ), :=( Y, 'e_4' ), :=( Z, 'e_3' ), :=( T,
% 0.72/1.07 'e_1' )] ), substitution( 1, [] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 81, [ product( 'e_1', 'e_4', 'e_1' ), equalish( X, 'e_1' ), product(
% 0.72/1.07 'e_1', 'e_4', 'e_2' ), ~( product( X, 'e_4', 'e_3' ) ) ] )
% 0.72/1.07 , clause( 309, [ equalish( X, 'e_1' ), ~( product( X, 'e_4', 'e_3' ) ),
% 0.72/1.07 product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_2' ) ] )
% 0.72/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.72/1.07 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 310, [ equalish( 'e_2', 'e_4' ), product( 'e_2', 'e_4', 'e_1' ),
% 0.72/1.07 product( 'e_2', 'e_4', 'e_2' ), product( 'e_2', 'e_4', 'e_3' ) ] )
% 0.72/1.07 , clause( 32, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.72/1.07 , 1, clause( 72, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4',
% 0.72/1.07 'e_2' ), product( 'e_2', 'e_4', 'e_3' ), product( 'e_2', 'e_4', 'e_4' ) ]
% 0.72/1.07 )
% 0.72/1.07 , 3, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_4' )] ), substitution( 1
% 0.72/1.07 , [] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 311, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_2'
% 0.72/1.07 ), product( 'e_2', 'e_4', 'e_3' ) ] )
% 0.72/1.07 , clause( 9, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 0.72/1.07 , 0, clause( 310, [ equalish( 'e_2', 'e_4' ), product( 'e_2', 'e_4', 'e_1'
% 0.72/1.07 ), product( 'e_2', 'e_4', 'e_2' ), product( 'e_2', 'e_4', 'e_3' ) ] )
% 0.72/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 102, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_2'
% 0.72/1.07 ), product( 'e_2', 'e_4', 'e_3' ) ] )
% 0.72/1.07 , clause( 311, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4',
% 0.72/1.07 'e_2' ), product( 'e_2', 'e_4', 'e_3' ) ] )
% 0.72/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.72/1.07 , 2 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 312, [ product( 'e_1', 'e_4', 'e_1' ), equalish( 'e_2', 'e_1' ),
% 0.72/1.07 product( 'e_1', 'e_4', 'e_2' ), product( 'e_2', 'e_4', 'e_1' ), product(
% 0.72/1.07 'e_2', 'e_4', 'e_2' ) ] )
% 0.72/1.07 , clause( 81, [ product( 'e_1', 'e_4', 'e_1' ), equalish( X, 'e_1' ),
% 0.72/1.07 product( 'e_1', 'e_4', 'e_2' ), ~( product( X, 'e_4', 'e_3' ) ) ] )
% 0.72/1.07 , 3, clause( 102, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4',
% 0.72/1.07 'e_2' ), product( 'e_2', 'e_4', 'e_3' ) ] )
% 0.72/1.07 , 2, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 313, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_2'
% 0.72/1.07 ), product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_2' ) ] )
% 0.72/1.07 , clause( 7, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.72/1.07 , 0, clause( 312, [ product( 'e_1', 'e_4', 'e_1' ), equalish( 'e_2', 'e_1'
% 0.72/1.07 ), product( 'e_1', 'e_4', 'e_2' ), product( 'e_2', 'e_4', 'e_1' ),
% 0.72/1.07 product( 'e_2', 'e_4', 'e_2' ) ] )
% 0.72/1.07 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 103, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_1'
% 0.72/1.07 ), product( 'e_1', 'e_4', 'e_2' ), product( 'e_2', 'e_4', 'e_2' ) ] )
% 0.72/1.07 , clause( 313, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4',
% 0.72/1.07 'e_2' ), product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_2' ) ]
% 0.72/1.07 )
% 0.72/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2
% 0.72/1.07 , 0 ), ==>( 3, 3 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 319, [ equalish( X, 'e_4' ), ~( product( 'e_2', X, 'e_3' ) ),
% 0.72/1.07 product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_2' ) ] )
% 0.72/1.07 , clause( 18, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.72/1.07 , Z ) ) ] )
% 0.72/1.07 , 2, clause( 102, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4',
% 0.72/1.07 'e_2' ), product( 'e_2', 'e_4', 'e_3' ) ] )
% 0.72/1.07 , 2, substitution( 0, [ :=( X, 'e_2' ), :=( Y, X ), :=( Z, 'e_3' ), :=( T,
% 0.72/1.07 'e_4' )] ), substitution( 1, [] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 105, [ product( 'e_2', 'e_4', 'e_1' ), equalish( X, 'e_4' ),
% 0.72/1.07 product( 'e_2', 'e_4', 'e_2' ), ~( product( 'e_2', X, 'e_3' ) ) ] )
% 0.72/1.07 , clause( 319, [ equalish( X, 'e_4' ), ~( product( 'e_2', X, 'e_3' ) ),
% 0.72/1.07 product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_2' ) ] )
% 0.72/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.72/1.07 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 321, [ equalish( 'e_4', 'e_2' ), product( 'e_2', 'e_4', 'e_1' ),
% 0.72/1.07 product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_2' ) ] )
% 0.72/1.07 , clause( 34, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.72/1.07 , 1, clause( 103, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_1', 'e_4',
% 0.72/1.07 'e_1' ), product( 'e_1', 'e_4', 'e_2' ), product( 'e_2', 'e_4', 'e_2' ) ]
% 0.72/1.07 )
% 0.72/1.07 , 3, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_2' )] ), substitution( 1
% 0.72/1.07 , [] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 322, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_1'
% 0.72/1.07 ), product( 'e_1', 'e_4', 'e_2' ) ] )
% 0.72/1.07 , clause( 14, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.72/1.07 , 0, clause( 321, [ equalish( 'e_4', 'e_2' ), product( 'e_2', 'e_4', 'e_1'
% 0.72/1.07 ), product( 'e_1', 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_2' ) ] )
% 0.72/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 109, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_1'
% 0.72/1.07 ), product( 'e_1', 'e_4', 'e_2' ) ] )
% 0.72/1.07 , clause( 322, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_1', 'e_4',
% 0.72/1.07 'e_1' ), product( 'e_1', 'e_4', 'e_2' ) ] )
% 0.72/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.72/1.07 , 2 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 328, [ equalish( X, 'e_1' ), ~( product( X, 'e_4', 'e_2' ) ),
% 0.72/1.07 product( 'e_1', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_1' ) ] )
% 0.72/1.07 , clause( 19, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.72/1.07 , Z ) ) ] )
% 0.72/1.07 , 2, clause( 109, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_2', 'e_4',
% 0.72/1.07 'e_1' ), product( 'e_1', 'e_4', 'e_2' ) ] )
% 0.72/1.07 , 2, substitution( 0, [ :=( X, X ), :=( Y, 'e_4' ), :=( Z, 'e_2' ), :=( T,
% 0.72/1.07 'e_1' )] ), substitution( 1, [] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 114, [ product( 'e_1', 'e_4', 'e_1' ), equalish( X, 'e_1' ),
% 0.72/1.07 product( 'e_2', 'e_4', 'e_1' ), ~( product( X, 'e_4', 'e_2' ) ) ] )
% 0.72/1.07 , clause( 328, [ equalish( X, 'e_1' ), ~( product( X, 'e_4', 'e_2' ) ),
% 0.72/1.07 product( 'e_1', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_1' ) ] )
% 0.72/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.72/1.07 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 329, [ equalish( 'e_3', 'e_4' ), product( 'e_3', 'e_4', 'e_1' ),
% 0.72/1.07 product( 'e_3', 'e_4', 'e_2' ), product( 'e_3', 'e_4', 'e_3' ) ] )
% 0.72/1.07 , clause( 32, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.72/1.07 , 1, clause( 73, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4',
% 0.72/1.07 'e_2' ), product( 'e_3', 'e_4', 'e_3' ), product( 'e_3', 'e_4', 'e_4' ) ]
% 0.72/1.07 )
% 0.72/1.07 , 3, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_4' )] ), substitution( 1
% 0.72/1.07 , [] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 330, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4', 'e_2'
% 0.72/1.07 ), product( 'e_3', 'e_4', 'e_3' ) ] )
% 0.72/1.07 , clause( 12, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.72/1.07 , 0, clause( 329, [ equalish( 'e_3', 'e_4' ), product( 'e_3', 'e_4', 'e_1'
% 0.72/1.07 ), product( 'e_3', 'e_4', 'e_2' ), product( 'e_3', 'e_4', 'e_3' ) ] )
% 0.72/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 119, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4', 'e_2'
% 0.72/1.07 ), product( 'e_3', 'e_4', 'e_3' ) ] )
% 0.72/1.07 , clause( 330, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4',
% 0.72/1.07 'e_2' ), product( 'e_3', 'e_4', 'e_3' ) ] )
% 0.72/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.72/1.07 , 2 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 331, [ equalish( 'e_4', 'e_3' ), product( 'e_3', 'e_4', 'e_1' ),
% 0.72/1.07 product( 'e_3', 'e_4', 'e_2' ) ] )
% 0.72/1.07 , clause( 34, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.72/1.07 , 1, clause( 119, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4',
% 0.72/1.07 'e_2' ), product( 'e_3', 'e_4', 'e_3' ) ] )
% 0.72/1.07 , 2, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_3' )] ), substitution( 1
% 0.72/1.07 , [] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 332, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4', 'e_2'
% 0.72/1.07 ) ] )
% 0.72/1.07 , clause( 15, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.72/1.07 , 0, clause( 331, [ equalish( 'e_4', 'e_3' ), product( 'e_3', 'e_4', 'e_1'
% 0.72/1.07 ), product( 'e_3', 'e_4', 'e_2' ) ] )
% 0.72/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 123, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4', 'e_2'
% 0.72/1.07 ) ] )
% 0.72/1.07 , clause( 332, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4',
% 0.72/1.07 'e_2' ) ] )
% 0.72/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.07 ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 333, [ product( 'e_1', 'e_4', 'e_1' ), equalish( 'e_3', 'e_1' ),
% 0.72/1.07 product( 'e_2', 'e_4', 'e_1' ), product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.72/1.07 , clause( 114, [ product( 'e_1', 'e_4', 'e_1' ), equalish( X, 'e_1' ),
% 0.72/1.07 product( 'e_2', 'e_4', 'e_1' ), ~( product( X, 'e_4', 'e_2' ) ) ] )
% 0.72/1.07 , 3, clause( 123, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4',
% 0.72/1.07 'e_2' ) ] )
% 0.72/1.07 , 1, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 334, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_1'
% 0.72/1.07 ), product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.72/1.07 , clause( 10, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.72/1.07 , 0, clause( 333, [ product( 'e_1', 'e_4', 'e_1' ), equalish( 'e_3', 'e_1'
% 0.72/1.07 ), product( 'e_2', 'e_4', 'e_1' ), product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.72/1.07 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 124, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_1'
% 0.72/1.07 ), product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.72/1.07 , clause( 334, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_2', 'e_4',
% 0.72/1.07 'e_1' ), product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.72/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.72/1.07 , 2 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 338, [ ~( product( 'e_4', 'e_3', X ) ), product( X, 'e_2', 'e_3' )
% 0.72/1.07 , product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.72/1.07 , clause( 21, [ ~( product( X, Y, Z ) ), product( Z, T, Y ), ~( product( Y
% 0.72/1.07 , X, T ) ) ] )
% 0.72/1.07 , 2, clause( 123, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4',
% 0.72/1.07 'e_2' ) ] )
% 0.72/1.07 , 1, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_3' ), :=( Z, X ), :=( T,
% 0.72/1.07 'e_2' )] ), substitution( 1, [] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 125, [ product( 'e_3', 'e_4', 'e_1' ), product( X, 'e_2', 'e_3' ),
% 0.72/1.07 ~( product( 'e_4', 'e_3', X ) ) ] )
% 0.72/1.07 , clause( 338, [ ~( product( 'e_4', 'e_3', X ) ), product( X, 'e_2', 'e_3'
% 0.72/1.07 ), product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.72/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.72/1.07 1 ), ==>( 2, 0 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 342, [ equalish( X, 'e_4' ), ~( product( 'e_3', X, 'e_2' ) ),
% 0.72/1.07 product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.72/1.07 , clause( 18, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.72/1.07 , Z ) ) ] )
% 0.72/1.07 , 2, clause( 123, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_3', 'e_4',
% 0.72/1.07 'e_2' ) ] )
% 0.72/1.07 , 1, substitution( 0, [ :=( X, 'e_3' ), :=( Y, X ), :=( Z, 'e_2' ), :=( T,
% 0.72/1.07 'e_4' )] ), substitution( 1, [] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 126, [ equalish( X, 'e_4' ), product( 'e_3', 'e_4', 'e_1' ), ~(
% 0.72/1.07 product( 'e_3', X, 'e_2' ) ) ] )
% 0.72/1.07 , clause( 342, [ equalish( X, 'e_4' ), ~( product( 'e_3', X, 'e_2' ) ),
% 0.72/1.07 product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.72/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.72/1.07 2 ), ==>( 2, 1 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 343, [ equalish( 'e_3', 'e_4' ), product( 'e_4', 'e_3', 'e_1' ),
% 0.72/1.07 product( 'e_4', 'e_3', 'e_2' ), product( 'e_4', 'e_3', 'e_3' ) ] )
% 0.72/1.07 , clause( 34, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.72/1.07 , 1, clause( 66, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3',
% 0.72/1.07 'e_2' ), product( 'e_4', 'e_3', 'e_3' ), product( 'e_4', 'e_3', 'e_4' ) ]
% 0.72/1.07 )
% 0.72/1.07 , 3, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_4' )] ), substitution( 1
% 0.72/1.07 , [] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 344, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3', 'e_2'
% 0.72/1.07 ), product( 'e_4', 'e_3', 'e_3' ) ] )
% 0.72/1.07 , clause( 12, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.72/1.07 , 0, clause( 343, [ equalish( 'e_3', 'e_4' ), product( 'e_4', 'e_3', 'e_1'
% 0.72/1.07 ), product( 'e_4', 'e_3', 'e_2' ), product( 'e_4', 'e_3', 'e_3' ) ] )
% 0.72/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 141, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3', 'e_2'
% 0.72/1.07 ), product( 'e_4', 'e_3', 'e_3' ) ] )
% 0.72/1.07 , clause( 344, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3',
% 0.72/1.07 'e_2' ), product( 'e_4', 'e_3', 'e_3' ) ] )
% 0.72/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.72/1.07 , 2 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 345, [ equalish( 'e_4', 'e_3' ), product( 'e_4', 'e_3', 'e_1' ),
% 0.72/1.07 product( 'e_4', 'e_3', 'e_2' ) ] )
% 0.72/1.07 , clause( 32, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.72/1.07 , 1, clause( 141, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3',
% 0.72/1.07 'e_2' ), product( 'e_4', 'e_3', 'e_3' ) ] )
% 0.72/1.07 , 2, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_3' )] ), substitution( 1
% 0.72/1.07 , [] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 346, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3', 'e_2'
% 0.72/1.07 ) ] )
% 0.72/1.07 , clause( 15, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.72/1.07 , 0, clause( 345, [ equalish( 'e_4', 'e_3' ), product( 'e_4', 'e_3', 'e_1'
% 0.72/1.07 ), product( 'e_4', 'e_3', 'e_2' ) ] )
% 0.72/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 148, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3', 'e_2'
% 0.72/1.07 ) ] )
% 0.72/1.07 , clause( 346, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3',
% 0.72/1.07 'e_2' ) ] )
% 0.72/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.07 ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 348, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_2', 'e_2', 'e_3'
% 0.72/1.07 ), product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.07 , clause( 125, [ product( 'e_3', 'e_4', 'e_1' ), product( X, 'e_2', 'e_3' )
% 0.72/1.07 , ~( product( 'e_4', 'e_3', X ) ) ] )
% 0.72/1.07 , 2, clause( 148, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3',
% 0.72/1.07 'e_2' ) ] )
% 0.72/1.07 , 1, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 150, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_3', 'e_4', 'e_1'
% 0.72/1.07 ), product( 'e_2', 'e_2', 'e_3' ) ] )
% 0.72/1.07 , clause( 348, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_2', 'e_2',
% 0.72/1.07 'e_3' ), product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2
% 0.72/1.07 , 0 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 349, [ equalish( 'e_3', 'e_2' ), product( 'e_4', 'e_3', 'e_1' ),
% 0.72/1.07 product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.72/1.07 , clause( 33, [ equalish( X, Y ), ~( product( Y, Y, X ) ) ] )
% 0.72/1.07 , 1, clause( 150, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_3', 'e_4',
% 0.72/1.07 'e_1' ), product( 'e_2', 'e_2', 'e_3' ) ] )
% 0.72/1.07 , 2, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_2' )] ), substitution( 1
% 0.72/1.07 , [] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 350, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_3', 'e_4', 'e_1'
% 0.72/1.07 ) ] )
% 0.72/1.07 , clause( 11, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.72/1.07 , 0, clause( 349, [ equalish( 'e_3', 'e_2' ), product( 'e_4', 'e_3', 'e_1'
% 0.72/1.07 ), product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.72/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 162, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_3', 'e_4', 'e_1'
% 0.72/1.07 ) ] )
% 0.72/1.07 , clause( 350, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_3', 'e_4',
% 0.72/1.07 'e_1' ) ] )
% 0.72/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.07 ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 354, [ ~( product( 'e_4', 'e_3', X ) ), product( X, 'e_1', 'e_3' )
% 0.72/1.07 , product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.07 , clause( 21, [ ~( product( X, Y, Z ) ), product( Z, T, Y ), ~( product( Y
% 0.72/1.07 , X, T ) ) ] )
% 0.72/1.07 , 2, clause( 162, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_3', 'e_4',
% 0.72/1.07 'e_1' ) ] )
% 0.72/1.07 , 1, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_3' ), :=( Z, X ), :=( T,
% 0.72/1.07 'e_1' )] ), substitution( 1, [] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 163, [ product( 'e_4', 'e_3', 'e_1' ), product( X, 'e_1', 'e_3' ),
% 0.72/1.07 ~( product( 'e_4', 'e_3', X ) ) ] )
% 0.72/1.07 , clause( 354, [ ~( product( 'e_4', 'e_3', X ) ), product( X, 'e_1', 'e_3'
% 0.72/1.07 ), product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.72/1.07 1 ), ==>( 2, 0 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 358, [ equalish( X, 'e_3' ), ~( product( X, 'e_4', 'e_1' ) ),
% 0.72/1.07 product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.07 , clause( 19, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.72/1.07 , Z ) ) ] )
% 0.72/1.07 , 2, clause( 162, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_3', 'e_4',
% 0.72/1.07 'e_1' ) ] )
% 0.72/1.07 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'e_4' ), :=( Z, 'e_1' ), :=( T,
% 0.72/1.07 'e_3' )] ), substitution( 1, [] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 166, [ equalish( X, 'e_3' ), product( 'e_4', 'e_3', 'e_1' ), ~(
% 0.72/1.07 product( X, 'e_4', 'e_1' ) ) ] )
% 0.72/1.07 , clause( 358, [ equalish( X, 'e_3' ), ~( product( X, 'e_4', 'e_1' ) ),
% 0.72/1.07 product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.72/1.07 2 ), ==>( 2, 1 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 360, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_2', 'e_1', 'e_3'
% 0.72/1.07 ), product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.07 , clause( 163, [ product( 'e_4', 'e_3', 'e_1' ), product( X, 'e_1', 'e_3' )
% 0.72/1.07 , ~( product( 'e_4', 'e_3', X ) ) ] )
% 0.72/1.07 , 2, clause( 148, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3',
% 0.72/1.07 'e_2' ) ] )
% 0.72/1.07 , 1, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 factor(
% 0.72/1.07 clause( 361, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_2', 'e_1', 'e_3'
% 0.72/1.07 ) ] )
% 0.72/1.07 , clause( 360, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_2', 'e_1',
% 0.72/1.07 'e_3' ), product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.07 , 0, 2, substitution( 0, [] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 172, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_2', 'e_1', 'e_3'
% 0.72/1.07 ) ] )
% 0.72/1.07 , clause( 361, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_2', 'e_1',
% 0.72/1.07 'e_3' ) ] )
% 0.72/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.07 ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 362, [ product( 'e_2', 'e_4', 'e_1' ), equalish( 'e_1', 'e_4' ),
% 0.72/1.07 product( 'e_2', 'e_4', 'e_2' ), product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.07 , clause( 105, [ product( 'e_2', 'e_4', 'e_1' ), equalish( X, 'e_4' ),
% 0.72/1.07 product( 'e_2', 'e_4', 'e_2' ), ~( product( 'e_2', X, 'e_3' ) ) ] )
% 0.72/1.07 , 3, clause( 172, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_2', 'e_1',
% 0.72/1.07 'e_3' ) ] )
% 0.72/1.07 , 1, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 363, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_2'
% 0.72/1.07 ), product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.07 , clause( 6, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.72/1.07 , 0, clause( 362, [ product( 'e_2', 'e_4', 'e_1' ), equalish( 'e_1', 'e_4'
% 0.72/1.07 ), product( 'e_2', 'e_4', 'e_2' ), product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.07 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 175, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_2', 'e_4', 'e_1'
% 0.72/1.07 ), product( 'e_2', 'e_4', 'e_2' ) ] )
% 0.72/1.07 , clause( 363, [ product( 'e_2', 'e_4', 'e_1' ), product( 'e_2', 'e_4',
% 0.72/1.07 'e_2' ), product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2
% 0.72/1.07 , 0 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 364, [ equalish( 'e_4', 'e_2' ), product( 'e_4', 'e_3', 'e_1' ),
% 0.72/1.07 product( 'e_2', 'e_4', 'e_1' ) ] )
% 0.72/1.07 , clause( 34, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.72/1.07 , 1, clause( 175, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_2', 'e_4',
% 0.72/1.07 'e_1' ), product( 'e_2', 'e_4', 'e_2' ) ] )
% 0.72/1.07 , 2, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_2' )] ), substitution( 1
% 0.72/1.07 , [] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 365, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_2', 'e_4', 'e_1'
% 0.72/1.07 ) ] )
% 0.72/1.07 , clause( 14, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.72/1.07 , 0, clause( 364, [ equalish( 'e_4', 'e_2' ), product( 'e_4', 'e_3', 'e_1'
% 0.72/1.07 ), product( 'e_2', 'e_4', 'e_1' ) ] )
% 0.72/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 185, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_2', 'e_4', 'e_1'
% 0.72/1.07 ) ] )
% 0.72/1.07 , clause( 365, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_2', 'e_4',
% 0.72/1.07 'e_1' ) ] )
% 0.72/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.07 ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 366, [ equalish( 'e_2', 'e_3' ), product( 'e_4', 'e_3', 'e_1' ),
% 0.72/1.07 product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.07 , clause( 166, [ equalish( X, 'e_3' ), product( 'e_4', 'e_3', 'e_1' ), ~(
% 0.72/1.07 product( X, 'e_4', 'e_1' ) ) ] )
% 0.72/1.07 , 2, clause( 185, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_2', 'e_4',
% 0.72/1.07 'e_1' ) ] )
% 0.72/1.07 , 1, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 368, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3', 'e_1'
% 0.72/1.07 ) ] )
% 0.72/1.07 , clause( 8, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.72/1.07 , 0, clause( 366, [ equalish( 'e_2', 'e_3' ), product( 'e_4', 'e_3', 'e_1'
% 0.72/1.07 ), product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 factor(
% 0.72/1.07 clause( 369, [ product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.07 , clause( 368, [ product( 'e_4', 'e_3', 'e_1' ), product( 'e_4', 'e_3',
% 0.72/1.07 'e_1' ) ] )
% 0.72/1.07 , 0, 1, substitution( 0, [] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 186, [ product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.07 , clause( 369, [ product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 371, [ ~( product( 'e_3', 'e_4', X ) ), product( X, 'e_1', 'e_4' )
% 0.72/1.08 ] )
% 0.72/1.08 , clause( 21, [ ~( product( X, Y, Z ) ), product( Z, T, Y ), ~( product( Y
% 0.72/1.08 , X, T ) ) ] )
% 0.72/1.08 , 2, clause( 186, [ product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_4' ), :=( Z, X ), :=( T,
% 0.72/1.08 'e_1' )] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 188, [ product( X, 'e_1', 'e_4' ), ~( product( 'e_3', 'e_4', X ) )
% 0.72/1.08 ] )
% 0.72/1.08 , clause( 371, [ ~( product( 'e_3', 'e_4', X ) ), product( X, 'e_1', 'e_4'
% 0.72/1.08 ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.72/1.08 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 373, [ equalish( X, 'e_3' ), ~( product( 'e_4', X, 'e_1' ) ) ] )
% 0.72/1.08 , clause( 18, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.72/1.08 , Z ) ) ] )
% 0.72/1.08 , 2, clause( 186, [ product( 'e_4', 'e_3', 'e_1' ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, 'e_4' ), :=( Y, X ), :=( Z, 'e_1' ), :=( T,
% 0.72/1.08 'e_3' )] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 189, [ equalish( X, 'e_3' ), ~( product( 'e_4', X, 'e_1' ) ) ] )
% 0.72/1.08 , clause( 373, [ equalish( X, 'e_3' ), ~( product( 'e_4', X, 'e_1' ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.72/1.08 1 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 374, [ product( 'e_1', 'e_1', 'e_4' ), product( 'e_1', 'e_4', 'e_1'
% 0.72/1.08 ), product( 'e_2', 'e_4', 'e_1' ) ] )
% 0.72/1.08 , clause( 188, [ product( X, 'e_1', 'e_4' ), ~( product( 'e_3', 'e_4', X )
% 0.72/1.08 ) ] )
% 0.72/1.08 , 1, clause( 124, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_2', 'e_4',
% 0.72/1.08 'e_1' ), product( 'e_3', 'e_4', 'e_1' ) ] )
% 0.72/1.08 , 2, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 198, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_1'
% 0.72/1.08 ), product( 'e_1', 'e_1', 'e_4' ) ] )
% 0.72/1.08 , clause( 374, [ product( 'e_1', 'e_1', 'e_4' ), product( 'e_1', 'e_4',
% 0.72/1.08 'e_1' ), product( 'e_2', 'e_4', 'e_1' ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.72/1.08 , 1 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 375, [ equalish( 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_1' ),
% 0.72/1.08 product( 'e_2', 'e_4', 'e_1' ) ] )
% 0.72/1.08 , clause( 33, [ equalish( X, Y ), ~( product( Y, Y, X ) ) ] )
% 0.72/1.08 , 1, clause( 198, [ product( 'e_1', 'e_4', 'e_1' ), product( 'e_2', 'e_4',
% 0.72/1.08 'e_1' ), product( 'e_1', 'e_1', 'e_4' ) ] )
% 0.72/1.08 , 2, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_1' )] ), substitution( 1
% 0.72/1.08 , [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 376, [ equalish( 'e_4', 'e_1' ), equalish( 'e_4', 'e_1' ), product(
% 0.72/1.08 'e_2', 'e_4', 'e_1' ) ] )
% 0.72/1.08 , clause( 34, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.72/1.08 , 1, clause( 375, [ equalish( 'e_4', 'e_1' ), product( 'e_1', 'e_4', 'e_1'
% 0.72/1.08 ), product( 'e_2', 'e_4', 'e_1' ) ] )
% 0.72/1.08 , 1, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_1' )] ), substitution( 1
% 0.72/1.08 , [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 factor(
% 0.72/1.08 clause( 377, [ equalish( 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_1' ) ]
% 0.72/1.08 )
% 0.72/1.08 , clause( 376, [ equalish( 'e_4', 'e_1' ), equalish( 'e_4', 'e_1' ),
% 0.72/1.08 product( 'e_2', 'e_4', 'e_1' ) ] )
% 0.72/1.08 , 0, 1, substitution( 0, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 212, [ equalish( 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_1' ) ]
% 0.72/1.08 )
% 0.72/1.08 , clause( 377, [ equalish( 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_1' ) ]
% 0.72/1.08 )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.08 ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 378, [ product( 'e_2', 'e_4', 'e_1' ) ] )
% 0.72/1.08 , clause( 13, [ ~( equalish( 'e_4', 'e_1' ) ) ] )
% 0.72/1.08 , 0, clause( 212, [ equalish( 'e_4', 'e_1' ), product( 'e_2', 'e_4', 'e_1'
% 0.72/1.08 ) ] )
% 0.72/1.08 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 217, [ product( 'e_2', 'e_4', 'e_1' ) ] )
% 0.72/1.08 , clause( 378, [ product( 'e_2', 'e_4', 'e_1' ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 380, [ ~( product( 'e_4', 'e_2', X ) ), product( X, 'e_1', 'e_2' )
% 0.72/1.08 ] )
% 0.72/1.08 , clause( 21, [ ~( product( X, Y, Z ) ), product( Z, T, Y ), ~( product( Y
% 0.72/1.08 , X, T ) ) ] )
% 0.72/1.08 , 2, clause( 217, [ product( 'e_2', 'e_4', 'e_1' ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_2' ), :=( Z, X ), :=( T,
% 0.72/1.08 'e_1' )] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 218, [ product( X, 'e_1', 'e_2' ), ~( product( 'e_4', 'e_2', X ) )
% 0.72/1.08 ] )
% 0.72/1.08 , clause( 380, [ ~( product( 'e_4', 'e_2', X ) ), product( X, 'e_1', 'e_2'
% 0.72/1.08 ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.72/1.08 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 382, [ equalish( X, 'e_2' ), ~( product( X, 'e_4', 'e_1' ) ) ] )
% 0.72/1.08 , clause( 19, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.72/1.08 , Z ) ) ] )
% 0.72/1.08 , 2, clause( 217, [ product( 'e_2', 'e_4', 'e_1' ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_4' ), :=( Z, 'e_1' ), :=( T,
% 0.72/1.08 'e_2' )] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 221, [ equalish( X, 'e_2' ), ~( product( X, 'e_4', 'e_1' ) ) ] )
% 0.72/1.08 , clause( 382, [ equalish( X, 'e_2' ), ~( product( X, 'e_4', 'e_1' ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.72/1.08 1 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 385, [ product( 'e_3', 'e_1', 'e_2' ), product( 'e_4', 'e_2', 'e_1'
% 0.72/1.08 ), product( 'e_4', 'e_2', 'e_2' ) ] )
% 0.72/1.08 , clause( 218, [ product( X, 'e_1', 'e_2' ), ~( product( 'e_4', 'e_2', X )
% 0.72/1.08 ) ] )
% 0.72/1.08 , 1, clause( 59, [ product( 'e_4', 'e_2', 'e_1' ), product( 'e_4', 'e_2',
% 0.72/1.08 'e_2' ), product( 'e_4', 'e_2', 'e_3' ) ] )
% 0.72/1.08 , 2, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 223, [ product( 'e_4', 'e_2', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.72/1.08 ), product( 'e_4', 'e_2', 'e_2' ) ] )
% 0.72/1.08 , clause( 385, [ product( 'e_3', 'e_1', 'e_2' ), product( 'e_4', 'e_2',
% 0.72/1.08 'e_1' ), product( 'e_4', 'e_2', 'e_2' ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.72/1.08 , 2 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 386, [ equalish( 'e_4', 'e_2' ), product( 'e_4', 'e_2', 'e_1' ),
% 0.72/1.08 product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.72/1.08 , clause( 32, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.72/1.08 , 1, clause( 223, [ product( 'e_4', 'e_2', 'e_1' ), product( 'e_3', 'e_1',
% 0.72/1.08 'e_2' ), product( 'e_4', 'e_2', 'e_2' ) ] )
% 0.72/1.08 , 2, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_2' )] ), substitution( 1
% 0.72/1.08 , [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 387, [ product( 'e_4', 'e_2', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.72/1.08 ) ] )
% 0.72/1.08 , clause( 14, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.72/1.08 , 0, clause( 386, [ equalish( 'e_4', 'e_2' ), product( 'e_4', 'e_2', 'e_1'
% 0.72/1.08 ), product( 'e_3', 'e_1', 'e_2' ) ] )
% 0.72/1.08 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 231, [ product( 'e_4', 'e_2', 'e_1' ), product( 'e_3', 'e_1', 'e_2'
% 0.72/1.08 ) ] )
% 0.72/1.08 , clause( 387, [ product( 'e_4', 'e_2', 'e_1' ), product( 'e_3', 'e_1',
% 0.72/1.08 'e_2' ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.08 ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 388, [ equalish( 'e_1', 'e_4' ), product( 'e_3', 'e_4', 'e_1' ),
% 0.72/1.08 product( 'e_4', 'e_2', 'e_1' ) ] )
% 0.72/1.08 , clause( 126, [ equalish( X, 'e_4' ), product( 'e_3', 'e_4', 'e_1' ), ~(
% 0.72/1.08 product( 'e_3', X, 'e_2' ) ) ] )
% 0.72/1.08 , 2, clause( 231, [ product( 'e_4', 'e_2', 'e_1' ), product( 'e_3', 'e_1',
% 0.72/1.08 'e_2' ) ] )
% 0.72/1.08 , 1, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 389, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_4', 'e_2', 'e_1'
% 0.72/1.08 ) ] )
% 0.72/1.08 , clause( 6, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.72/1.08 , 0, clause( 388, [ equalish( 'e_1', 'e_4' ), product( 'e_3', 'e_4', 'e_1'
% 0.72/1.08 ), product( 'e_4', 'e_2', 'e_1' ) ] )
% 0.72/1.08 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 232, [ product( 'e_4', 'e_2', 'e_1' ), product( 'e_3', 'e_4', 'e_1'
% 0.72/1.08 ) ] )
% 0.72/1.08 , clause( 389, [ product( 'e_3', 'e_4', 'e_1' ), product( 'e_4', 'e_2',
% 0.72/1.08 'e_1' ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.72/1.08 ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 390, [ equalish( 'e_3', 'e_2' ), product( 'e_4', 'e_2', 'e_1' ) ]
% 0.72/1.08 )
% 0.72/1.08 , clause( 221, [ equalish( X, 'e_2' ), ~( product( X, 'e_4', 'e_1' ) ) ] )
% 0.72/1.08 , 1, clause( 232, [ product( 'e_4', 'e_2', 'e_1' ), product( 'e_3', 'e_4',
% 0.72/1.08 'e_1' ) ] )
% 0.72/1.08 , 1, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 391, [ product( 'e_4', 'e_2', 'e_1' ) ] )
% 0.72/1.08 , clause( 11, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.72/1.08 , 0, clause( 390, [ equalish( 'e_3', 'e_2' ), product( 'e_4', 'e_2', 'e_1'
% 0.72/1.08 ) ] )
% 0.72/1.08 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 238, [ product( 'e_4', 'e_2', 'e_1' ) ] )
% 0.72/1.08 , clause( 391, [ product( 'e_4', 'e_2', 'e_1' ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 392, [ equalish( 'e_2', 'e_3' ) ] )
% 0.72/1.08 , clause( 189, [ equalish( X, 'e_3' ), ~( product( 'e_4', X, 'e_1' ) ) ] )
% 0.72/1.08 , 1, clause( 238, [ product( 'e_4', 'e_2', 'e_1' ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 393, [] )
% 0.72/1.08 , clause( 8, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.72/1.08 , 0, clause( 392, [ equalish( 'e_2', 'e_3' ) ] )
% 0.72/1.08 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 240, [] )
% 0.72/1.08 , clause( 393, [] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 end.
% 0.72/1.08
% 0.72/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.08
% 0.72/1.08 Memory use:
% 0.72/1.08
% 0.72/1.08 space for terms: 3846
% 0.72/1.08 space for clauses: 11132
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 clauses generated: 509
% 0.72/1.08 clauses kept: 241
% 0.72/1.08 clauses selected: 141
% 0.72/1.08 clauses deleted: 9
% 0.72/1.08 clauses inuse deleted: 0
% 0.72/1.08
% 0.72/1.08 subsentry: 1365
% 0.72/1.08 literals s-matched: 866
% 0.72/1.08 literals matched: 704
% 0.72/1.08 full subsumption: 143
% 0.72/1.08
% 0.72/1.08 checksum: 154052281
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Bliksem ended
%------------------------------------------------------------------------------