TSTP Solution File: GRP124-7.004 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP124-7.004 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n023.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 07:35:06 EDT 2022
% Result : Unsatisfiable 0.46s 1.15s
% Output : Refutation 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP124-7.004 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.14 % Command : bliksem %s
% 0.13/0.35 % Computer : n023.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 22:59:21 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.46/1.15 *** allocated 10000 integers for termspace/termends
% 0.46/1.15 *** allocated 10000 integers for clauses
% 0.46/1.15 *** allocated 10000 integers for justifications
% 0.46/1.15 Bliksem 1.12
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 Automatic Strategy Selection
% 0.46/1.15
% 0.46/1.15 Clauses:
% 0.46/1.15 [
% 0.46/1.15 [ next( 'e_1', 'e_2' ) ],
% 0.46/1.15 [ next( 'e_2', 'e_3' ) ],
% 0.46/1.15 [ next( 'e_3', 'e_4' ) ],
% 0.46/1.15 [ greater( 'e_2', 'e_1' ) ],
% 0.46/1.15 [ greater( 'e_3', 'e_1' ) ],
% 0.46/1.15 [ greater( 'e_4', 'e_1' ) ],
% 0.46/1.15 [ greater( 'e_3', 'e_2' ) ],
% 0.46/1.15 [ greater( 'e_4', 'e_2' ) ],
% 0.46/1.15 [ greater( 'e_4', 'e_3' ) ],
% 0.46/1.15 [ ~( product( X, 'e_1', Y ) ), ~( next( X, Z ) ), ~( greater( Y, Z ) ) ]
% 0.46/1.15 ,
% 0.46/1.15 [ 'group_element'( 'e_1' ) ],
% 0.46/1.15 [ 'group_element'( 'e_2' ) ],
% 0.46/1.15 [ 'group_element'( 'e_3' ) ],
% 0.46/1.15 [ 'group_element'( 'e_4' ) ],
% 0.46/1.15 [ ~( equalish( 'e_1', 'e_2' ) ) ],
% 0.46/1.15 [ ~( equalish( 'e_1', 'e_3' ) ) ],
% 0.46/1.15 [ ~( equalish( 'e_1', 'e_4' ) ) ],
% 0.46/1.15 [ ~( equalish( 'e_2', 'e_1' ) ) ],
% 0.46/1.15 [ ~( equalish( 'e_2', 'e_3' ) ) ],
% 0.46/1.15 [ ~( equalish( 'e_2', 'e_4' ) ) ],
% 0.46/1.15 [ ~( equalish( 'e_3', 'e_1' ) ) ],
% 0.46/1.15 [ ~( equalish( 'e_3', 'e_2' ) ) ],
% 0.46/1.15 [ ~( equalish( 'e_3', 'e_4' ) ) ],
% 0.46/1.15 [ ~( equalish( 'e_4', 'e_1' ) ) ],
% 0.46/1.15 [ ~( equalish( 'e_4', 'e_2' ) ) ],
% 0.46/1.15 [ ~( equalish( 'e_4', 'e_3' ) ) ],
% 0.46/1.15 [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ), product1( X, Y,
% 0.46/1.15 'e_1' ), product1( X, Y, 'e_2' ), product1( X, Y, 'e_3' ), product1( X, Y
% 0.46/1.15 , 'e_4' ) ],
% 0.46/1.15 [ ~( product1( X, Y, Z ) ), ~( product1( X, Y, T ) ), equalish( Z, T ) ]
% 0.46/1.15 ,
% 0.46/1.15 [ ~( product1( X, Y, Z ) ), ~( product1( X, T, Z ) ), equalish( Y, T ) ]
% 0.46/1.15 ,
% 0.46/1.15 [ ~( product1( X, Y, Z ) ), ~( product1( T, Y, Z ) ), equalish( X, T ) ]
% 0.46/1.15 ,
% 0.46/1.15 [ product1( X, X, X ) ],
% 0.46/1.15 [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ), product2( X, Y,
% 0.46/1.15 'e_1' ), product2( X, Y, 'e_2' ), product2( X, Y, 'e_3' ), product2( X, Y
% 0.46/1.15 , 'e_4' ) ],
% 0.46/1.15 [ ~( product2( X, Y, Z ) ), ~( product2( X, Y, T ) ), equalish( Z, T ) ]
% 0.46/1.15 ,
% 0.46/1.15 [ ~( product2( X, Y, Z ) ), ~( product2( X, T, Z ) ), equalish( Y, T ) ]
% 0.46/1.15 ,
% 0.46/1.15 [ ~( product2( X, Y, Z ) ), ~( product2( T, Y, Z ) ), equalish( X, T ) ]
% 0.46/1.15 ,
% 0.46/1.15 [ product2( X, X, X ) ],
% 0.46/1.15 [ ~( product1( X, Y, Z ) ), ~( product1( Z, X, T ) ), product2( T, Y, X
% 0.46/1.15 ) ]
% 0.46/1.15 ] .
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 percentage equality = 0.000000, percentage horn = 0.945946
% 0.46/1.15 This is a near-Horn, non-equality problem
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 Options Used:
% 0.46/1.15
% 0.46/1.15 useres = 1
% 0.46/1.15 useparamod = 0
% 0.46/1.15 useeqrefl = 0
% 0.46/1.15 useeqfact = 0
% 0.46/1.15 usefactor = 1
% 0.46/1.15 usesimpsplitting = 0
% 0.46/1.15 usesimpdemod = 0
% 0.46/1.15 usesimpres = 4
% 0.46/1.15
% 0.46/1.15 resimpinuse = 1000
% 0.46/1.15 resimpclauses = 20000
% 0.46/1.15 substype = standard
% 0.46/1.15 backwardsubs = 1
% 0.46/1.15 selectoldest = 5
% 0.46/1.15
% 0.46/1.15 litorderings [0] = split
% 0.46/1.15 litorderings [1] = liftord
% 0.46/1.15
% 0.46/1.15 termordering = none
% 0.46/1.15
% 0.46/1.15 litapriori = 1
% 0.46/1.15 termapriori = 0
% 0.46/1.15 litaposteriori = 0
% 0.46/1.15 termaposteriori = 0
% 0.46/1.15 demodaposteriori = 0
% 0.46/1.15 ordereqreflfact = 0
% 0.46/1.15
% 0.46/1.15 litselect = negative
% 0.46/1.15
% 0.46/1.15 maxweight = 30000
% 0.46/1.15 maxdepth = 30000
% 0.46/1.15 maxlength = 115
% 0.46/1.15 maxnrvars = 195
% 0.46/1.15 excuselevel = 0
% 0.46/1.15 increasemaxweight = 0
% 0.46/1.15
% 0.46/1.15 maxselected = 10000000
% 0.46/1.15 maxnrclauses = 10000000
% 0.46/1.15
% 0.46/1.15 showgenerated = 0
% 0.46/1.15 showkept = 0
% 0.46/1.15 showselected = 0
% 0.46/1.15 showdeleted = 0
% 0.46/1.15 showresimp = 1
% 0.46/1.15 showstatus = 2000
% 0.46/1.15
% 0.46/1.15 prologoutput = 1
% 0.46/1.15 nrgoals = 5000000
% 0.46/1.15 totalproof = 1
% 0.46/1.15
% 0.46/1.15 Symbols occurring in the translation:
% 0.46/1.15
% 0.46/1.15 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.46/1.15 . [1, 2] (w:1, o:26, a:1, s:1, b:0),
% 0.46/1.15 ! [4, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.46/1.15 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.46/1.15 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.46/1.15 'e_1' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.46/1.15 'e_2' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.46/1.15 next [41, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.46/1.15 'e_3' [42, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.46/1.15 'e_4' [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.46/1.15 greater [44, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.46/1.15 product [47, 3] (w:1, o:54, a:1, s:1, b:0),
% 0.46/1.15 'group_element' [49, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.46/1.15 equalish [50, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.46/1.15 product1 [51, 3] (w:1, o:55, a:1, s:1, b:0),
% 0.46/1.15 product2 [54, 3] (w:1, o:56, a:1, s:1, b:0).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 Starting Search:
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 Bliksems!, er is een bewijs:
% 0.46/1.15 % SZS status Unsatisfiable
% 0.46/1.15 % SZS output start Refutation
% 0.46/1.15
% 0.46/1.15 clause( 10, [ 'group_element'( 'e_1' ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 11, [ 'group_element'( 'e_2' ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 12, [ 'group_element'( 'e_3' ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 13, [ 'group_element'( 'e_4' ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 14, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 15, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 16, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 18, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 19, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 20, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 21, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 22, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 23, [ ~( equalish( 'e_4', 'e_1' ) ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 24, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 25, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 26, [ ~( 'group_element'( X ) ), product1( X, Y, 'e_4' ), product1(
% 0.46/1.15 X, Y, 'e_1' ), product1( X, Y, 'e_2' ), product1( X, Y, 'e_3' ), ~(
% 0.46/1.15 'group_element'( Y ) ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 28, [ equalish( Y, T ), ~( product1( X, Y, Z ) ), ~( product1( X, T
% 0.46/1.15 , Z ) ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 29, [ equalish( X, T ), ~( product1( X, Y, Z ) ), ~( product1( T, Y
% 0.46/1.15 , Z ) ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 30, [ product1( X, X, X ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 32, [ equalish( Z, T ), ~( product2( X, Y, Z ) ), ~( product2( X, Y
% 0.46/1.15 , T ) ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 35, [ product2( X, X, X ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 36, [ ~( product1( X, Y, Z ) ), product2( T, Y, X ), ~( product1( Z
% 0.46/1.15 , X, T ) ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 49, [ product1( X, 'e_1', 'e_4' ), product1( X, 'e_1', 'e_1' ),
% 0.46/1.15 product1( X, 'e_1', 'e_2' ), product1( X, 'e_1', 'e_3' ), ~(
% 0.46/1.15 'group_element'( X ) ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 50, [ product1( X, 'e_2', 'e_4' ), product1( X, 'e_2', 'e_1' ),
% 0.46/1.15 product1( X, 'e_2', 'e_2' ), product1( X, 'e_2', 'e_3' ), ~(
% 0.46/1.15 'group_element'( X ) ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 51, [ product1( X, 'e_3', 'e_4' ), product1( X, 'e_3', 'e_1' ),
% 0.46/1.15 product1( X, 'e_3', 'e_2' ), product1( X, 'e_3', 'e_3' ), ~(
% 0.46/1.15 'group_element'( X ) ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 52, [ product1( X, 'e_4', 'e_4' ), product1( X, 'e_4', 'e_1' ),
% 0.46/1.15 product1( X, 'e_4', 'e_2' ), product1( X, 'e_4', 'e_3' ), ~(
% 0.46/1.15 'group_element'( X ) ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 55, [ equalish( X, Y ), ~( product1( Y, X, Y ) ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 58, [ equalish( X, Y ), ~( product1( X, Y, Y ) ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 65, [ equalish( X, Y ), ~( product2( Y, Y, X ) ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 91, [ product1( 'e_3', 'e_1', 'e_1' ), product1( 'e_3', 'e_1',
% 0.46/1.15 'e_2' ), product1( 'e_3', 'e_1', 'e_3' ), product1( 'e_3', 'e_1', 'e_4' )
% 0.46/1.15 ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 92, [ product1( 'e_4', 'e_1', 'e_1' ), product1( 'e_4', 'e_1',
% 0.46/1.15 'e_2' ), product1( 'e_4', 'e_1', 'e_3' ), product1( 'e_4', 'e_1', 'e_4' )
% 0.46/1.15 ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 97, [ product1( 'e_3', 'e_1', 'e_1' ), product1( 'e_3', 'e_1',
% 0.46/1.15 'e_2' ), product1( 'e_3', 'e_1', 'e_3' ), product2( 'e_4', X, 'e_1' ),
% 0.46/1.15 ~( product1( 'e_1', X, 'e_3' ) ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 104, [ product1( 'e_4', 'e_1', 'e_1' ), product1( 'e_4', 'e_1',
% 0.46/1.15 'e_2' ), product1( 'e_4', 'e_1', 'e_3' ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 111, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_2',
% 0.46/1.15 'e_2' ), product1( 'e_4', 'e_2', 'e_3' ), product1( 'e_4', 'e_2', 'e_4' )
% 0.46/1.15 ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 118, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3',
% 0.46/1.15 'e_2' ), product1( 'e_4', 'e_3', 'e_3' ), product1( 'e_4', 'e_3', 'e_4' )
% 0.46/1.15 ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 130, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3',
% 0.46/1.15 'e_2' ), product1( 'e_4', 'e_3', 'e_3' ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 133, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3',
% 0.46/1.15 'e_2' ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 134, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4',
% 0.46/1.15 'e_2' ), product1( 'e_1', 'e_4', 'e_3' ), product1( 'e_1', 'e_4', 'e_4' )
% 0.46/1.15 ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 135, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.46/1.15 'e_2' ), product1( 'e_2', 'e_4', 'e_3' ), product1( 'e_2', 'e_4', 'e_4' )
% 0.46/1.15 ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 136, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4',
% 0.46/1.15 'e_2' ), product1( 'e_3', 'e_4', 'e_3' ), product1( 'e_3', 'e_4', 'e_4' )
% 0.46/1.15 ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 220, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4',
% 0.46/1.15 'e_2' ), product1( 'e_1', 'e_4', 'e_3' ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 226, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.46/1.15 'e_2' ), product1( 'e_2', 'e_4', 'e_3' ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 228, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.46/1.15 'e_2' ), product2( 'e_3', X, 'e_4' ), ~( product1( 'e_4', X, 'e_2' ) ) ]
% 0.46/1.15 )
% 0.46/1.15 .
% 0.46/1.15 clause( 244, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4',
% 0.46/1.15 'e_2' ), product1( 'e_3', 'e_4', 'e_3' ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 250, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4',
% 0.46/1.15 'e_2' ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 253, [ product1( 'e_3', 'e_4', 'e_1' ), product2( 'e_2', X, 'e_4' )
% 0.46/1.15 , ~( product1( 'e_4', X, 'e_3' ) ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 254, [ equalish( X, 'e_3' ), product1( 'e_3', 'e_4', 'e_1' ), ~(
% 0.46/1.15 product1( X, 'e_4', 'e_2' ) ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 255, [ equalish( X, 'e_4' ), product1( 'e_3', 'e_4', 'e_1' ), ~(
% 0.46/1.15 product1( 'e_3', X, 'e_2' ) ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 262, [ product1( 'e_3', 'e_1', 'e_1' ), product1( 'e_3', 'e_1',
% 0.46/1.15 'e_2' ), product1( 'e_3', 'e_1', 'e_3' ), product1( 'e_1', 'e_4', 'e_1' )
% 0.46/1.15 , product1( 'e_1', 'e_4', 'e_2' ), product2( 'e_4', 'e_4', 'e_1' ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 276, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_2',
% 0.46/1.15 'e_2' ), product1( 'e_4', 'e_2', 'e_3' ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 277, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_3', 'e_4',
% 0.46/1.15 'e_1' ), product1( 'e_4', 'e_2', 'e_2' ), product2( 'e_2', 'e_2', 'e_4' )
% 0.46/1.15 ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 286, [ product1( 'e_4', 'e_2', 'e_1' ), equalish( 'e_4', 'e_2' ),
% 0.46/1.15 product1( 'e_3', 'e_4', 'e_1' ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 290, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_3', 'e_4',
% 0.46/1.15 'e_1' ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 291, [ product1( 'e_4', 'e_2', 'e_1' ), product2( 'e_1', X, 'e_4' )
% 0.46/1.15 , ~( product1( 'e_4', X, 'e_3' ) ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 296, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_1',
% 0.46/1.15 'e_1' ), product1( 'e_4', 'e_1', 'e_2' ), product2( 'e_1', 'e_1', 'e_4' )
% 0.46/1.15 ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 305, [ product1( 'e_4', 'e_2', 'e_1' ), equalish( 'e_4', 'e_1' ),
% 0.46/1.15 product1( 'e_4', 'e_1', 'e_2' ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 309, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_1',
% 0.46/1.15 'e_2' ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 312, [ equalish( X, 'e_4' ), product1( 'e_4', 'e_2', 'e_1' ), ~(
% 0.46/1.15 product1( X, 'e_1', 'e_2' ) ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 336, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.46/1.15 'e_2' ), product1( 'e_4', 'e_3', 'e_1' ), product2( 'e_3', 'e_3', 'e_4' )
% 0.46/1.15 ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 344, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_4', 'e_3',
% 0.46/1.15 'e_1' ), product1( 'e_2', 'e_4', 'e_2' ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 350, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_2', 'e_4',
% 0.46/1.15 'e_1' ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 355, [ equalish( X, 'e_2' ), product1( 'e_4', 'e_3', 'e_1' ), ~(
% 0.46/1.15 product1( X, 'e_4', 'e_1' ) ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 530, [ product1( 'e_3', 'e_1', 'e_1' ), product1( 'e_3', 'e_1',
% 0.46/1.15 'e_2' ), product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4', 'e_2' )
% 0.46/1.15 , product1( 'e_3', 'e_1', 'e_3' ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 535, [ product1( 'e_3', 'e_1', 'e_1' ), product1( 'e_1', 'e_4',
% 0.46/1.15 'e_1' ), product1( 'e_3', 'e_1', 'e_2' ), product1( 'e_1', 'e_4', 'e_2' )
% 0.46/1.15 ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 536, [ product1( 'e_3', 'e_1', 'e_1' ), product1( 'e_1', 'e_4',
% 0.46/1.15 'e_1' ), product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_1', 'e_2' )
% 0.46/1.15 ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 542, [ product1( 'e_3', 'e_1', 'e_1' ), product1( 'e_1', 'e_4',
% 0.46/1.15 'e_1' ), product1( 'e_3', 'e_4', 'e_1' ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 543, [ product1( 'e_3', 'e_1', 'e_1' ), product1( 'e_4', 'e_3',
% 0.46/1.15 'e_1' ), product1( 'e_1', 'e_4', 'e_1' ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 552, [ product1( 'e_3', 'e_1', 'e_1' ), product1( 'e_4', 'e_3',
% 0.46/1.15 'e_1' ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 555, [ product1( 'e_3', 'e_1', 'e_1' ), product2( 'e_1', X, 'e_3' )
% 0.46/1.15 , ~( product1( 'e_3', X, 'e_4' ) ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 557, [ equalish( X, 'e_3' ), product1( 'e_3', 'e_1', 'e_1' ), ~(
% 0.46/1.15 product1( 'e_4', X, 'e_1' ) ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 565, [ product1( 'e_3', 'e_1', 'e_1' ), product1( 'e_3', 'e_1',
% 0.46/1.15 'e_2' ), product1( 'e_3', 'e_1', 'e_3' ), product2( 'e_1', 'e_1', 'e_3' )
% 0.46/1.15 ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 616, [ product1( 'e_3', 'e_1', 'e_2' ), equalish( 'e_3', 'e_1' ),
% 0.46/1.15 product1( 'e_3', 'e_1', 'e_3' ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 620, [ product1( 'e_3', 'e_1', 'e_2' ), product1( 'e_3', 'e_1',
% 0.46/1.15 'e_3' ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 625, [ product1( 'e_3', 'e_1', 'e_2' ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 630, [ product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 637, [ product1( 'e_3', 'e_1', 'e_1' ) ] )
% 0.46/1.15 .
% 0.46/1.15 clause( 652, [] )
% 0.46/1.15 .
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 % SZS output end Refutation
% 0.46/1.15 found a proof!
% 0.46/1.15
% 0.46/1.15 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.46/1.15
% 0.46/1.15 initialclauses(
% 0.46/1.15 [ clause( 654, [ next( 'e_1', 'e_2' ) ] )
% 0.46/1.15 , clause( 655, [ next( 'e_2', 'e_3' ) ] )
% 0.46/1.15 , clause( 656, [ next( 'e_3', 'e_4' ) ] )
% 0.46/1.15 , clause( 657, [ greater( 'e_2', 'e_1' ) ] )
% 0.46/1.15 , clause( 658, [ greater( 'e_3', 'e_1' ) ] )
% 0.46/1.15 , clause( 659, [ greater( 'e_4', 'e_1' ) ] )
% 0.46/1.15 , clause( 660, [ greater( 'e_3', 'e_2' ) ] )
% 0.46/1.15 , clause( 661, [ greater( 'e_4', 'e_2' ) ] )
% 0.46/1.15 , clause( 662, [ greater( 'e_4', 'e_3' ) ] )
% 0.46/1.15 , clause( 663, [ ~( product( X, 'e_1', Y ) ), ~( next( X, Z ) ), ~( greater(
% 0.46/1.15 Y, Z ) ) ] )
% 0.46/1.15 , clause( 664, [ 'group_element'( 'e_1' ) ] )
% 0.46/1.15 , clause( 665, [ 'group_element'( 'e_2' ) ] )
% 0.46/1.15 , clause( 666, [ 'group_element'( 'e_3' ) ] )
% 0.46/1.15 , clause( 667, [ 'group_element'( 'e_4' ) ] )
% 0.46/1.15 , clause( 668, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.46/1.15 , clause( 669, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.46/1.15 , clause( 670, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.46/1.15 , clause( 671, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.46/1.15 , clause( 672, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.46/1.15 , clause( 673, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 0.46/1.15 , clause( 674, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.46/1.15 , clause( 675, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.46/1.15 , clause( 676, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.46/1.15 , clause( 677, [ ~( equalish( 'e_4', 'e_1' ) ) ] )
% 0.46/1.15 , clause( 678, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.46/1.15 , clause( 679, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.46/1.15 , clause( 680, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.46/1.15 product1( X, Y, 'e_1' ), product1( X, Y, 'e_2' ), product1( X, Y, 'e_3' )
% 0.46/1.15 , product1( X, Y, 'e_4' ) ] )
% 0.46/1.15 , clause( 681, [ ~( product1( X, Y, Z ) ), ~( product1( X, Y, T ) ),
% 0.46/1.15 equalish( Z, T ) ] )
% 0.46/1.15 , clause( 682, [ ~( product1( X, Y, Z ) ), ~( product1( X, T, Z ) ),
% 0.46/1.15 equalish( Y, T ) ] )
% 0.46/1.15 , clause( 683, [ ~( product1( X, Y, Z ) ), ~( product1( T, Y, Z ) ),
% 0.46/1.15 equalish( X, T ) ] )
% 0.46/1.15 , clause( 684, [ product1( X, X, X ) ] )
% 0.46/1.15 , clause( 685, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.46/1.15 product2( X, Y, 'e_1' ), product2( X, Y, 'e_2' ), product2( X, Y, 'e_3' )
% 0.46/1.15 , product2( X, Y, 'e_4' ) ] )
% 0.46/1.15 , clause( 686, [ ~( product2( X, Y, Z ) ), ~( product2( X, Y, T ) ),
% 0.46/1.15 equalish( Z, T ) ] )
% 0.46/1.15 , clause( 687, [ ~( product2( X, Y, Z ) ), ~( product2( X, T, Z ) ),
% 0.46/1.15 equalish( Y, T ) ] )
% 0.46/1.15 , clause( 688, [ ~( product2( X, Y, Z ) ), ~( product2( T, Y, Z ) ),
% 0.46/1.15 equalish( X, T ) ] )
% 0.46/1.15 , clause( 689, [ product2( X, X, X ) ] )
% 0.46/1.15 , clause( 690, [ ~( product1( X, Y, Z ) ), ~( product1( Z, X, T ) ),
% 0.46/1.15 product2( T, Y, X ) ] )
% 0.46/1.15 ] ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 10, [ 'group_element'( 'e_1' ) ] )
% 0.46/1.15 , clause( 664, [ 'group_element'( 'e_1' ) ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 11, [ 'group_element'( 'e_2' ) ] )
% 0.46/1.15 , clause( 665, [ 'group_element'( 'e_2' ) ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 12, [ 'group_element'( 'e_3' ) ] )
% 0.46/1.15 , clause( 666, [ 'group_element'( 'e_3' ) ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 13, [ 'group_element'( 'e_4' ) ] )
% 0.46/1.15 , clause( 667, [ 'group_element'( 'e_4' ) ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 14, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.46/1.15 , clause( 668, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 15, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.46/1.15 , clause( 669, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 16, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.46/1.15 , clause( 670, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 18, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.46/1.15 , clause( 672, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 19, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 0.46/1.15 , clause( 673, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 20, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.46/1.15 , clause( 674, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 21, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.46/1.15 , clause( 675, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 22, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.46/1.15 , clause( 676, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 23, [ ~( equalish( 'e_4', 'e_1' ) ) ] )
% 0.46/1.15 , clause( 677, [ ~( equalish( 'e_4', 'e_1' ) ) ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 24, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.46/1.15 , clause( 678, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 25, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.46/1.15 , clause( 679, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 26, [ ~( 'group_element'( X ) ), product1( X, Y, 'e_4' ), product1(
% 0.46/1.15 X, Y, 'e_1' ), product1( X, Y, 'e_2' ), product1( X, Y, 'e_3' ), ~(
% 0.46/1.15 'group_element'( Y ) ) ] )
% 0.46/1.15 , clause( 680, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.46/1.15 product1( X, Y, 'e_1' ), product1( X, Y, 'e_2' ), product1( X, Y, 'e_3' )
% 0.46/1.15 , product1( X, Y, 'e_4' ) ] )
% 0.46/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.46/1.15 ), ==>( 1, 5 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 ), ==>( 5, 1 )] )
% 0.46/1.15 ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 28, [ equalish( Y, T ), ~( product1( X, Y, Z ) ), ~( product1( X, T
% 0.46/1.15 , Z ) ) ] )
% 0.46/1.15 , clause( 682, [ ~( product1( X, Y, Z ) ), ~( product1( X, T, Z ) ),
% 0.46/1.15 equalish( Y, T ) ] )
% 0.46/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.46/1.15 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 29, [ equalish( X, T ), ~( product1( X, Y, Z ) ), ~( product1( T, Y
% 0.46/1.15 , Z ) ) ] )
% 0.46/1.15 , clause( 683, [ ~( product1( X, Y, Z ) ), ~( product1( T, Y, Z ) ),
% 0.46/1.15 equalish( X, T ) ] )
% 0.46/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.46/1.15 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 30, [ product1( X, X, X ) ] )
% 0.46/1.15 , clause( 684, [ product1( X, X, X ) ] )
% 0.46/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 32, [ equalish( Z, T ), ~( product2( X, Y, Z ) ), ~( product2( X, Y
% 0.46/1.15 , T ) ) ] )
% 0.46/1.15 , clause( 686, [ ~( product2( X, Y, Z ) ), ~( product2( X, Y, T ) ),
% 0.46/1.15 equalish( Z, T ) ] )
% 0.46/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.46/1.15 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 35, [ product2( X, X, X ) ] )
% 0.46/1.15 , clause( 689, [ product2( X, X, X ) ] )
% 0.46/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 36, [ ~( product1( X, Y, Z ) ), product2( T, Y, X ), ~( product1( Z
% 0.46/1.15 , X, T ) ) ] )
% 0.46/1.15 , clause( 690, [ ~( product1( X, Y, Z ) ), ~( product1( Z, X, T ) ),
% 0.46/1.15 product2( T, Y, X ) ] )
% 0.46/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.46/1.15 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 727, [ ~( 'group_element'( X ) ), product1( X, 'e_1', 'e_4' ),
% 0.46/1.15 product1( X, 'e_1', 'e_1' ), product1( X, 'e_1', 'e_2' ), product1( X,
% 0.46/1.15 'e_1', 'e_3' ) ] )
% 0.46/1.15 , clause( 26, [ ~( 'group_element'( X ) ), product1( X, Y, 'e_4' ),
% 0.46/1.15 product1( X, Y, 'e_1' ), product1( X, Y, 'e_2' ), product1( X, Y, 'e_3' )
% 0.46/1.15 , ~( 'group_element'( Y ) ) ] )
% 0.46/1.15 , 5, clause( 10, [ 'group_element'( 'e_1' ) ] )
% 0.46/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_1' )] ), substitution( 1, [] )
% 0.46/1.15 ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 49, [ product1( X, 'e_1', 'e_4' ), product1( X, 'e_1', 'e_1' ),
% 0.46/1.15 product1( X, 'e_1', 'e_2' ), product1( X, 'e_1', 'e_3' ), ~(
% 0.46/1.15 'group_element'( X ) ) ] )
% 0.46/1.15 , clause( 727, [ ~( 'group_element'( X ) ), product1( X, 'e_1', 'e_4' ),
% 0.46/1.15 product1( X, 'e_1', 'e_1' ), product1( X, 'e_1', 'e_2' ), product1( X,
% 0.46/1.15 'e_1', 'e_3' ) ] )
% 0.46/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 4 ), ==>( 1,
% 0.46/1.15 0 ), ==>( 2, 1 ), ==>( 3, 2 ), ==>( 4, 3 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 729, [ ~( 'group_element'( X ) ), product1( X, 'e_2', 'e_4' ),
% 0.46/1.15 product1( X, 'e_2', 'e_1' ), product1( X, 'e_2', 'e_2' ), product1( X,
% 0.46/1.15 'e_2', 'e_3' ) ] )
% 0.46/1.15 , clause( 26, [ ~( 'group_element'( X ) ), product1( X, Y, 'e_4' ),
% 0.46/1.15 product1( X, Y, 'e_1' ), product1( X, Y, 'e_2' ), product1( X, Y, 'e_3' )
% 0.46/1.15 , ~( 'group_element'( Y ) ) ] )
% 0.46/1.15 , 5, clause( 11, [ 'group_element'( 'e_2' ) ] )
% 0.46/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_2' )] ), substitution( 1, [] )
% 0.46/1.15 ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 50, [ product1( X, 'e_2', 'e_4' ), product1( X, 'e_2', 'e_1' ),
% 0.46/1.15 product1( X, 'e_2', 'e_2' ), product1( X, 'e_2', 'e_3' ), ~(
% 0.46/1.15 'group_element'( X ) ) ] )
% 0.46/1.15 , clause( 729, [ ~( 'group_element'( X ) ), product1( X, 'e_2', 'e_4' ),
% 0.46/1.15 product1( X, 'e_2', 'e_1' ), product1( X, 'e_2', 'e_2' ), product1( X,
% 0.46/1.15 'e_2', 'e_3' ) ] )
% 0.46/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 4 ), ==>( 1,
% 0.46/1.15 0 ), ==>( 2, 1 ), ==>( 3, 2 ), ==>( 4, 3 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 731, [ ~( 'group_element'( X ) ), product1( X, 'e_3', 'e_4' ),
% 0.46/1.15 product1( X, 'e_3', 'e_1' ), product1( X, 'e_3', 'e_2' ), product1( X,
% 0.46/1.15 'e_3', 'e_3' ) ] )
% 0.46/1.15 , clause( 26, [ ~( 'group_element'( X ) ), product1( X, Y, 'e_4' ),
% 0.46/1.15 product1( X, Y, 'e_1' ), product1( X, Y, 'e_2' ), product1( X, Y, 'e_3' )
% 0.46/1.15 , ~( 'group_element'( Y ) ) ] )
% 0.46/1.15 , 5, clause( 12, [ 'group_element'( 'e_3' ) ] )
% 0.46/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_3' )] ), substitution( 1, [] )
% 0.46/1.15 ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 51, [ product1( X, 'e_3', 'e_4' ), product1( X, 'e_3', 'e_1' ),
% 0.46/1.15 product1( X, 'e_3', 'e_2' ), product1( X, 'e_3', 'e_3' ), ~(
% 0.46/1.15 'group_element'( X ) ) ] )
% 0.46/1.15 , clause( 731, [ ~( 'group_element'( X ) ), product1( X, 'e_3', 'e_4' ),
% 0.46/1.15 product1( X, 'e_3', 'e_1' ), product1( X, 'e_3', 'e_2' ), product1( X,
% 0.46/1.15 'e_3', 'e_3' ) ] )
% 0.46/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 4 ), ==>( 1,
% 0.46/1.15 0 ), ==>( 2, 1 ), ==>( 3, 2 ), ==>( 4, 3 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 733, [ ~( 'group_element'( X ) ), product1( X, 'e_4', 'e_4' ),
% 0.46/1.15 product1( X, 'e_4', 'e_1' ), product1( X, 'e_4', 'e_2' ), product1( X,
% 0.46/1.15 'e_4', 'e_3' ) ] )
% 0.46/1.15 , clause( 26, [ ~( 'group_element'( X ) ), product1( X, Y, 'e_4' ),
% 0.46/1.15 product1( X, Y, 'e_1' ), product1( X, Y, 'e_2' ), product1( X, Y, 'e_3' )
% 0.46/1.15 , ~( 'group_element'( Y ) ) ] )
% 0.46/1.15 , 5, clause( 13, [ 'group_element'( 'e_4' ) ] )
% 0.46/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_4' )] ), substitution( 1, [] )
% 0.46/1.15 ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 52, [ product1( X, 'e_4', 'e_4' ), product1( X, 'e_4', 'e_1' ),
% 0.46/1.15 product1( X, 'e_4', 'e_2' ), product1( X, 'e_4', 'e_3' ), ~(
% 0.46/1.15 'group_element'( X ) ) ] )
% 0.46/1.15 , clause( 733, [ ~( 'group_element'( X ) ), product1( X, 'e_4', 'e_4' ),
% 0.46/1.15 product1( X, 'e_4', 'e_1' ), product1( X, 'e_4', 'e_2' ), product1( X,
% 0.46/1.15 'e_4', 'e_3' ) ] )
% 0.46/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 4 ), ==>( 1,
% 0.46/1.15 0 ), ==>( 2, 1 ), ==>( 3, 2 ), ==>( 4, 3 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 735, [ equalish( X, Y ), ~( product1( Y, X, Y ) ) ] )
% 0.46/1.15 , clause( 28, [ equalish( Y, T ), ~( product1( X, Y, Z ) ), ~( product1( X
% 0.46/1.15 , T, Z ) ) ] )
% 0.46/1.15 , 2, clause( 30, [ product1( X, X, X ) ] )
% 0.46/1.15 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Y ), :=( T, Y )] ),
% 0.46/1.15 substitution( 1, [ :=( X, Y )] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 55, [ equalish( X, Y ), ~( product1( Y, X, Y ) ) ] )
% 0.46/1.15 , clause( 735, [ equalish( X, Y ), ~( product1( Y, X, Y ) ) ] )
% 0.46/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.46/1.15 ), ==>( 1, 1 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 737, [ equalish( X, Y ), ~( product1( X, Y, Y ) ) ] )
% 0.46/1.15 , clause( 29, [ equalish( X, T ), ~( product1( X, Y, Z ) ), ~( product1( T
% 0.46/1.15 , Y, Z ) ) ] )
% 0.46/1.15 , 2, clause( 30, [ product1( X, X, X ) ] )
% 0.46/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, Y )] ),
% 0.46/1.15 substitution( 1, [ :=( X, Y )] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 58, [ equalish( X, Y ), ~( product1( X, Y, Y ) ) ] )
% 0.46/1.15 , clause( 737, [ equalish( X, Y ), ~( product1( X, Y, Y ) ) ] )
% 0.46/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.46/1.15 ), ==>( 1, 1 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 739, [ equalish( X, Y ), ~( product2( Y, Y, X ) ) ] )
% 0.46/1.15 , clause( 32, [ equalish( Z, T ), ~( product2( X, Y, Z ) ), ~( product2( X
% 0.46/1.15 , Y, T ) ) ] )
% 0.46/1.15 , 2, clause( 35, [ product2( X, X, X ) ] )
% 0.46/1.15 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Y ), :=( Z, X ), :=( T, Y )] ),
% 0.46/1.15 substitution( 1, [ :=( X, Y )] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 65, [ equalish( X, Y ), ~( product2( Y, Y, X ) ) ] )
% 0.46/1.15 , clause( 739, [ equalish( X, Y ), ~( product2( Y, Y, X ) ) ] )
% 0.46/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.46/1.15 ), ==>( 1, 1 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 740, [ product1( 'e_3', 'e_1', 'e_4' ), product1( 'e_3', 'e_1',
% 0.46/1.15 'e_1' ), product1( 'e_3', 'e_1', 'e_2' ), product1( 'e_3', 'e_1', 'e_3' )
% 0.46/1.15 ] )
% 0.46/1.15 , clause( 49, [ product1( X, 'e_1', 'e_4' ), product1( X, 'e_1', 'e_1' ),
% 0.46/1.15 product1( X, 'e_1', 'e_2' ), product1( X, 'e_1', 'e_3' ), ~(
% 0.46/1.15 'group_element'( X ) ) ] )
% 0.46/1.15 , 4, clause( 12, [ 'group_element'( 'e_3' ) ] )
% 0.46/1.15 , 0, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 91, [ product1( 'e_3', 'e_1', 'e_1' ), product1( 'e_3', 'e_1',
% 0.46/1.15 'e_2' ), product1( 'e_3', 'e_1', 'e_3' ), product1( 'e_3', 'e_1', 'e_4' )
% 0.46/1.15 ] )
% 0.46/1.15 , clause( 740, [ product1( 'e_3', 'e_1', 'e_4' ), product1( 'e_3', 'e_1',
% 0.46/1.15 'e_1' ), product1( 'e_3', 'e_1', 'e_2' ), product1( 'e_3', 'e_1', 'e_3' )
% 0.46/1.15 ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.46/1.15 , 1 ), ==>( 3, 2 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 741, [ product1( 'e_4', 'e_1', 'e_4' ), product1( 'e_4', 'e_1',
% 0.46/1.15 'e_1' ), product1( 'e_4', 'e_1', 'e_2' ), product1( 'e_4', 'e_1', 'e_3' )
% 0.46/1.15 ] )
% 0.46/1.15 , clause( 49, [ product1( X, 'e_1', 'e_4' ), product1( X, 'e_1', 'e_1' ),
% 0.46/1.15 product1( X, 'e_1', 'e_2' ), product1( X, 'e_1', 'e_3' ), ~(
% 0.46/1.15 'group_element'( X ) ) ] )
% 0.46/1.15 , 4, clause( 13, [ 'group_element'( 'e_4' ) ] )
% 0.46/1.15 , 0, substitution( 0, [ :=( X, 'e_4' )] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 92, [ product1( 'e_4', 'e_1', 'e_1' ), product1( 'e_4', 'e_1',
% 0.46/1.15 'e_2' ), product1( 'e_4', 'e_1', 'e_3' ), product1( 'e_4', 'e_1', 'e_4' )
% 0.46/1.15 ] )
% 0.46/1.15 , clause( 741, [ product1( 'e_4', 'e_1', 'e_4' ), product1( 'e_4', 'e_1',
% 0.46/1.15 'e_1' ), product1( 'e_4', 'e_1', 'e_2' ), product1( 'e_4', 'e_1', 'e_3' )
% 0.46/1.15 ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.46/1.15 , 1 ), ==>( 3, 2 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 749, [ ~( product1( 'e_1', X, 'e_3' ) ), product2( 'e_4', X, 'e_1'
% 0.46/1.15 ), product1( 'e_3', 'e_1', 'e_1' ), product1( 'e_3', 'e_1', 'e_2' ),
% 0.46/1.15 product1( 'e_3', 'e_1', 'e_3' ) ] )
% 0.46/1.15 , clause( 36, [ ~( product1( X, Y, Z ) ), product2( T, Y, X ), ~( product1(
% 0.46/1.15 Z, X, T ) ) ] )
% 0.46/1.15 , 2, clause( 91, [ product1( 'e_3', 'e_1', 'e_1' ), product1( 'e_3', 'e_1'
% 0.46/1.15 , 'e_2' ), product1( 'e_3', 'e_1', 'e_3' ), product1( 'e_3', 'e_1', 'e_4'
% 0.46/1.15 ) ] )
% 0.46/1.15 , 3, substitution( 0, [ :=( X, 'e_1' ), :=( Y, X ), :=( Z, 'e_3' ), :=( T,
% 0.46/1.15 'e_4' )] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 97, [ product1( 'e_3', 'e_1', 'e_1' ), product1( 'e_3', 'e_1',
% 0.46/1.15 'e_2' ), product1( 'e_3', 'e_1', 'e_3' ), product2( 'e_4', X, 'e_1' ),
% 0.46/1.15 ~( product1( 'e_1', X, 'e_3' ) ) ] )
% 0.46/1.15 , clause( 749, [ ~( product1( 'e_1', X, 'e_3' ) ), product2( 'e_4', X,
% 0.46/1.15 'e_1' ), product1( 'e_3', 'e_1', 'e_1' ), product1( 'e_3', 'e_1', 'e_2' )
% 0.46/1.15 , product1( 'e_3', 'e_1', 'e_3' ) ] )
% 0.46/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 4 ), ==>( 1,
% 0.46/1.15 3 ), ==>( 2, 0 ), ==>( 3, 1 ), ==>( 4, 2 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 750, [ equalish( 'e_1', 'e_4' ), product1( 'e_4', 'e_1', 'e_1' ),
% 0.46/1.15 product1( 'e_4', 'e_1', 'e_2' ), product1( 'e_4', 'e_1', 'e_3' ) ] )
% 0.46/1.15 , clause( 55, [ equalish( X, Y ), ~( product1( Y, X, Y ) ) ] )
% 0.46/1.15 , 1, clause( 92, [ product1( 'e_4', 'e_1', 'e_1' ), product1( 'e_4', 'e_1'
% 0.46/1.15 , 'e_2' ), product1( 'e_4', 'e_1', 'e_3' ), product1( 'e_4', 'e_1', 'e_4'
% 0.46/1.15 ) ] )
% 0.46/1.15 , 3, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_4' )] ), substitution( 1
% 0.46/1.15 , [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 751, [ product1( 'e_4', 'e_1', 'e_1' ), product1( 'e_4', 'e_1',
% 0.46/1.15 'e_2' ), product1( 'e_4', 'e_1', 'e_3' ) ] )
% 0.46/1.15 , clause( 16, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.46/1.15 , 0, clause( 750, [ equalish( 'e_1', 'e_4' ), product1( 'e_4', 'e_1', 'e_1'
% 0.46/1.15 ), product1( 'e_4', 'e_1', 'e_2' ), product1( 'e_4', 'e_1', 'e_3' ) ] )
% 0.46/1.15 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 104, [ product1( 'e_4', 'e_1', 'e_1' ), product1( 'e_4', 'e_1',
% 0.46/1.15 'e_2' ), product1( 'e_4', 'e_1', 'e_3' ) ] )
% 0.46/1.15 , clause( 751, [ product1( 'e_4', 'e_1', 'e_1' ), product1( 'e_4', 'e_1',
% 0.46/1.15 'e_2' ), product1( 'e_4', 'e_1', 'e_3' ) ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.46/1.15 , 2 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 752, [ product1( 'e_4', 'e_2', 'e_4' ), product1( 'e_4', 'e_2',
% 0.46/1.15 'e_1' ), product1( 'e_4', 'e_2', 'e_2' ), product1( 'e_4', 'e_2', 'e_3' )
% 0.46/1.15 ] )
% 0.46/1.15 , clause( 50, [ product1( X, 'e_2', 'e_4' ), product1( X, 'e_2', 'e_1' ),
% 0.46/1.15 product1( X, 'e_2', 'e_2' ), product1( X, 'e_2', 'e_3' ), ~(
% 0.46/1.15 'group_element'( X ) ) ] )
% 0.46/1.15 , 4, clause( 13, [ 'group_element'( 'e_4' ) ] )
% 0.46/1.15 , 0, substitution( 0, [ :=( X, 'e_4' )] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 111, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_2',
% 0.46/1.15 'e_2' ), product1( 'e_4', 'e_2', 'e_3' ), product1( 'e_4', 'e_2', 'e_4' )
% 0.46/1.15 ] )
% 0.46/1.15 , clause( 752, [ product1( 'e_4', 'e_2', 'e_4' ), product1( 'e_4', 'e_2',
% 0.46/1.15 'e_1' ), product1( 'e_4', 'e_2', 'e_2' ), product1( 'e_4', 'e_2', 'e_3' )
% 0.46/1.15 ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.46/1.15 , 1 ), ==>( 3, 2 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 753, [ product1( 'e_4', 'e_3', 'e_4' ), product1( 'e_4', 'e_3',
% 0.46/1.15 'e_1' ), product1( 'e_4', 'e_3', 'e_2' ), product1( 'e_4', 'e_3', 'e_3' )
% 0.46/1.15 ] )
% 0.46/1.15 , clause( 51, [ product1( X, 'e_3', 'e_4' ), product1( X, 'e_3', 'e_1' ),
% 0.46/1.15 product1( X, 'e_3', 'e_2' ), product1( X, 'e_3', 'e_3' ), ~(
% 0.46/1.15 'group_element'( X ) ) ] )
% 0.46/1.15 , 4, clause( 13, [ 'group_element'( 'e_4' ) ] )
% 0.46/1.15 , 0, substitution( 0, [ :=( X, 'e_4' )] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 118, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3',
% 0.46/1.15 'e_2' ), product1( 'e_4', 'e_3', 'e_3' ), product1( 'e_4', 'e_3', 'e_4' )
% 0.46/1.15 ] )
% 0.46/1.15 , clause( 753, [ product1( 'e_4', 'e_3', 'e_4' ), product1( 'e_4', 'e_3',
% 0.46/1.15 'e_1' ), product1( 'e_4', 'e_3', 'e_2' ), product1( 'e_4', 'e_3', 'e_3' )
% 0.46/1.15 ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.46/1.15 , 1 ), ==>( 3, 2 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 754, [ equalish( 'e_3', 'e_4' ), product1( 'e_4', 'e_3', 'e_1' ),
% 0.46/1.15 product1( 'e_4', 'e_3', 'e_2' ), product1( 'e_4', 'e_3', 'e_3' ) ] )
% 0.46/1.15 , clause( 55, [ equalish( X, Y ), ~( product1( Y, X, Y ) ) ] )
% 0.46/1.15 , 1, clause( 118, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3'
% 0.46/1.15 , 'e_2' ), product1( 'e_4', 'e_3', 'e_3' ), product1( 'e_4', 'e_3', 'e_4'
% 0.46/1.15 ) ] )
% 0.46/1.15 , 3, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_4' )] ), substitution( 1
% 0.46/1.15 , [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 755, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3',
% 0.46/1.15 'e_2' ), product1( 'e_4', 'e_3', 'e_3' ) ] )
% 0.46/1.15 , clause( 22, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.46/1.15 , 0, clause( 754, [ equalish( 'e_3', 'e_4' ), product1( 'e_4', 'e_3', 'e_1'
% 0.46/1.15 ), product1( 'e_4', 'e_3', 'e_2' ), product1( 'e_4', 'e_3', 'e_3' ) ] )
% 0.46/1.15 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 130, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3',
% 0.46/1.15 'e_2' ), product1( 'e_4', 'e_3', 'e_3' ) ] )
% 0.46/1.15 , clause( 755, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3',
% 0.46/1.15 'e_2' ), product1( 'e_4', 'e_3', 'e_3' ) ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.46/1.15 , 2 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 756, [ equalish( 'e_4', 'e_3' ), product1( 'e_4', 'e_3', 'e_1' ),
% 0.46/1.15 product1( 'e_4', 'e_3', 'e_2' ) ] )
% 0.46/1.15 , clause( 58, [ equalish( X, Y ), ~( product1( X, Y, Y ) ) ] )
% 0.46/1.15 , 1, clause( 130, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3'
% 0.46/1.15 , 'e_2' ), product1( 'e_4', 'e_3', 'e_3' ) ] )
% 0.46/1.15 , 2, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_3' )] ), substitution( 1
% 0.46/1.15 , [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 757, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3',
% 0.46/1.15 'e_2' ) ] )
% 0.46/1.15 , clause( 25, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.46/1.15 , 0, clause( 756, [ equalish( 'e_4', 'e_3' ), product1( 'e_4', 'e_3', 'e_1'
% 0.46/1.15 ), product1( 'e_4', 'e_3', 'e_2' ) ] )
% 0.46/1.15 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 133, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3',
% 0.46/1.15 'e_2' ) ] )
% 0.46/1.15 , clause( 757, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3',
% 0.46/1.15 'e_2' ) ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.46/1.15 ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 758, [ product1( 'e_1', 'e_4', 'e_4' ), product1( 'e_1', 'e_4',
% 0.46/1.15 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ), product1( 'e_1', 'e_4', 'e_3' )
% 0.46/1.15 ] )
% 0.46/1.15 , clause( 52, [ product1( X, 'e_4', 'e_4' ), product1( X, 'e_4', 'e_1' ),
% 0.46/1.15 product1( X, 'e_4', 'e_2' ), product1( X, 'e_4', 'e_3' ), ~(
% 0.46/1.15 'group_element'( X ) ) ] )
% 0.46/1.15 , 4, clause( 10, [ 'group_element'( 'e_1' ) ] )
% 0.46/1.15 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 134, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4',
% 0.46/1.15 'e_2' ), product1( 'e_1', 'e_4', 'e_3' ), product1( 'e_1', 'e_4', 'e_4' )
% 0.46/1.15 ] )
% 0.46/1.15 , clause( 758, [ product1( 'e_1', 'e_4', 'e_4' ), product1( 'e_1', 'e_4',
% 0.46/1.15 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ), product1( 'e_1', 'e_4', 'e_3' )
% 0.46/1.15 ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.46/1.15 , 1 ), ==>( 3, 2 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 759, [ product1( 'e_2', 'e_4', 'e_4' ), product1( 'e_2', 'e_4',
% 0.46/1.15 'e_1' ), product1( 'e_2', 'e_4', 'e_2' ), product1( 'e_2', 'e_4', 'e_3' )
% 0.46/1.15 ] )
% 0.46/1.15 , clause( 52, [ product1( X, 'e_4', 'e_4' ), product1( X, 'e_4', 'e_1' ),
% 0.46/1.15 product1( X, 'e_4', 'e_2' ), product1( X, 'e_4', 'e_3' ), ~(
% 0.46/1.15 'group_element'( X ) ) ] )
% 0.46/1.15 , 4, clause( 11, [ 'group_element'( 'e_2' ) ] )
% 0.46/1.15 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 135, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.46/1.15 'e_2' ), product1( 'e_2', 'e_4', 'e_3' ), product1( 'e_2', 'e_4', 'e_4' )
% 0.46/1.15 ] )
% 0.46/1.15 , clause( 759, [ product1( 'e_2', 'e_4', 'e_4' ), product1( 'e_2', 'e_4',
% 0.46/1.15 'e_1' ), product1( 'e_2', 'e_4', 'e_2' ), product1( 'e_2', 'e_4', 'e_3' )
% 0.46/1.15 ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.46/1.15 , 1 ), ==>( 3, 2 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 760, [ product1( 'e_3', 'e_4', 'e_4' ), product1( 'e_3', 'e_4',
% 0.46/1.15 'e_1' ), product1( 'e_3', 'e_4', 'e_2' ), product1( 'e_3', 'e_4', 'e_3' )
% 0.46/1.15 ] )
% 0.46/1.15 , clause( 52, [ product1( X, 'e_4', 'e_4' ), product1( X, 'e_4', 'e_1' ),
% 0.46/1.15 product1( X, 'e_4', 'e_2' ), product1( X, 'e_4', 'e_3' ), ~(
% 0.46/1.15 'group_element'( X ) ) ] )
% 0.46/1.15 , 4, clause( 12, [ 'group_element'( 'e_3' ) ] )
% 0.46/1.15 , 0, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 136, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4',
% 0.46/1.15 'e_2' ), product1( 'e_3', 'e_4', 'e_3' ), product1( 'e_3', 'e_4', 'e_4' )
% 0.46/1.15 ] )
% 0.46/1.15 , clause( 760, [ product1( 'e_3', 'e_4', 'e_4' ), product1( 'e_3', 'e_4',
% 0.46/1.15 'e_1' ), product1( 'e_3', 'e_4', 'e_2' ), product1( 'e_3', 'e_4', 'e_3' )
% 0.46/1.15 ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.46/1.15 , 1 ), ==>( 3, 2 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 761, [ equalish( 'e_1', 'e_4' ), product1( 'e_1', 'e_4', 'e_1' ),
% 0.46/1.15 product1( 'e_1', 'e_4', 'e_2' ), product1( 'e_1', 'e_4', 'e_3' ) ] )
% 0.46/1.15 , clause( 58, [ equalish( X, Y ), ~( product1( X, Y, Y ) ) ] )
% 0.46/1.15 , 1, clause( 134, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4'
% 0.46/1.15 , 'e_2' ), product1( 'e_1', 'e_4', 'e_3' ), product1( 'e_1', 'e_4', 'e_4'
% 0.46/1.15 ) ] )
% 0.46/1.15 , 3, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_4' )] ), substitution( 1
% 0.46/1.15 , [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 762, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4',
% 0.46/1.15 'e_2' ), product1( 'e_1', 'e_4', 'e_3' ) ] )
% 0.46/1.15 , clause( 16, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.46/1.15 , 0, clause( 761, [ equalish( 'e_1', 'e_4' ), product1( 'e_1', 'e_4', 'e_1'
% 0.46/1.15 ), product1( 'e_1', 'e_4', 'e_2' ), product1( 'e_1', 'e_4', 'e_3' ) ] )
% 0.46/1.15 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 220, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4',
% 0.46/1.15 'e_2' ), product1( 'e_1', 'e_4', 'e_3' ) ] )
% 0.46/1.15 , clause( 762, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4',
% 0.46/1.15 'e_2' ), product1( 'e_1', 'e_4', 'e_3' ) ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.46/1.15 , 2 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 763, [ equalish( 'e_2', 'e_4' ), product1( 'e_2', 'e_4', 'e_1' ),
% 0.46/1.15 product1( 'e_2', 'e_4', 'e_2' ), product1( 'e_2', 'e_4', 'e_3' ) ] )
% 0.46/1.15 , clause( 58, [ equalish( X, Y ), ~( product1( X, Y, Y ) ) ] )
% 0.46/1.15 , 1, clause( 135, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4'
% 0.46/1.15 , 'e_2' ), product1( 'e_2', 'e_4', 'e_3' ), product1( 'e_2', 'e_4', 'e_4'
% 0.46/1.15 ) ] )
% 0.46/1.15 , 3, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_4' )] ), substitution( 1
% 0.46/1.15 , [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 764, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.46/1.15 'e_2' ), product1( 'e_2', 'e_4', 'e_3' ) ] )
% 0.46/1.15 , clause( 19, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 0.46/1.15 , 0, clause( 763, [ equalish( 'e_2', 'e_4' ), product1( 'e_2', 'e_4', 'e_1'
% 0.46/1.15 ), product1( 'e_2', 'e_4', 'e_2' ), product1( 'e_2', 'e_4', 'e_3' ) ] )
% 0.46/1.15 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 226, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.46/1.15 'e_2' ), product1( 'e_2', 'e_4', 'e_3' ) ] )
% 0.46/1.15 , clause( 764, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.46/1.15 'e_2' ), product1( 'e_2', 'e_4', 'e_3' ) ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.46/1.15 , 2 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 770, [ ~( product1( 'e_4', X, 'e_2' ) ), product2( 'e_3', X, 'e_4'
% 0.46/1.15 ), product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4', 'e_2' ) ] )
% 0.46/1.15 , clause( 36, [ ~( product1( X, Y, Z ) ), product2( T, Y, X ), ~( product1(
% 0.46/1.15 Z, X, T ) ) ] )
% 0.46/1.15 , 2, clause( 226, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4'
% 0.46/1.15 , 'e_2' ), product1( 'e_2', 'e_4', 'e_3' ) ] )
% 0.46/1.15 , 2, substitution( 0, [ :=( X, 'e_4' ), :=( Y, X ), :=( Z, 'e_2' ), :=( T,
% 0.46/1.15 'e_3' )] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 228, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.46/1.15 'e_2' ), product2( 'e_3', X, 'e_4' ), ~( product1( 'e_4', X, 'e_2' ) ) ]
% 0.46/1.15 )
% 0.46/1.15 , clause( 770, [ ~( product1( 'e_4', X, 'e_2' ) ), product2( 'e_3', X,
% 0.46/1.15 'e_4' ), product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4', 'e_2' )
% 0.46/1.15 ] )
% 0.46/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 0.46/1.15 2 ), ==>( 2, 0 ), ==>( 3, 1 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 771, [ equalish( 'e_3', 'e_4' ), product1( 'e_3', 'e_4', 'e_1' ),
% 0.46/1.15 product1( 'e_3', 'e_4', 'e_2' ), product1( 'e_3', 'e_4', 'e_3' ) ] )
% 0.46/1.15 , clause( 58, [ equalish( X, Y ), ~( product1( X, Y, Y ) ) ] )
% 0.46/1.15 , 1, clause( 136, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4'
% 0.46/1.15 , 'e_2' ), product1( 'e_3', 'e_4', 'e_3' ), product1( 'e_3', 'e_4', 'e_4'
% 0.46/1.15 ) ] )
% 0.46/1.15 , 3, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_4' )] ), substitution( 1
% 0.46/1.15 , [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 772, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4',
% 0.46/1.15 'e_2' ), product1( 'e_3', 'e_4', 'e_3' ) ] )
% 0.46/1.15 , clause( 22, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.46/1.15 , 0, clause( 771, [ equalish( 'e_3', 'e_4' ), product1( 'e_3', 'e_4', 'e_1'
% 0.46/1.15 ), product1( 'e_3', 'e_4', 'e_2' ), product1( 'e_3', 'e_4', 'e_3' ) ] )
% 0.46/1.15 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 244, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4',
% 0.46/1.15 'e_2' ), product1( 'e_3', 'e_4', 'e_3' ) ] )
% 0.46/1.15 , clause( 772, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4',
% 0.46/1.15 'e_2' ), product1( 'e_3', 'e_4', 'e_3' ) ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.46/1.15 , 2 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 773, [ equalish( 'e_4', 'e_3' ), product1( 'e_3', 'e_4', 'e_1' ),
% 0.46/1.15 product1( 'e_3', 'e_4', 'e_2' ) ] )
% 0.46/1.15 , clause( 55, [ equalish( X, Y ), ~( product1( Y, X, Y ) ) ] )
% 0.46/1.15 , 1, clause( 244, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4'
% 0.46/1.15 , 'e_2' ), product1( 'e_3', 'e_4', 'e_3' ) ] )
% 0.46/1.15 , 2, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_3' )] ), substitution( 1
% 0.46/1.15 , [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 774, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4',
% 0.46/1.15 'e_2' ) ] )
% 0.46/1.15 , clause( 25, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.46/1.15 , 0, clause( 773, [ equalish( 'e_4', 'e_3' ), product1( 'e_3', 'e_4', 'e_1'
% 0.46/1.15 ), product1( 'e_3', 'e_4', 'e_2' ) ] )
% 0.46/1.15 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 250, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4',
% 0.46/1.15 'e_2' ) ] )
% 0.46/1.15 , clause( 774, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4',
% 0.46/1.15 'e_2' ) ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.46/1.15 ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 778, [ ~( product1( 'e_4', X, 'e_3' ) ), product2( 'e_2', X, 'e_4'
% 0.46/1.15 ), product1( 'e_3', 'e_4', 'e_1' ) ] )
% 0.46/1.15 , clause( 36, [ ~( product1( X, Y, Z ) ), product2( T, Y, X ), ~( product1(
% 0.46/1.15 Z, X, T ) ) ] )
% 0.46/1.15 , 2, clause( 250, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4'
% 0.46/1.15 , 'e_2' ) ] )
% 0.46/1.15 , 1, substitution( 0, [ :=( X, 'e_4' ), :=( Y, X ), :=( Z, 'e_3' ), :=( T,
% 0.46/1.15 'e_2' )] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 253, [ product1( 'e_3', 'e_4', 'e_1' ), product2( 'e_2', X, 'e_4' )
% 0.46/1.15 , ~( product1( 'e_4', X, 'e_3' ) ) ] )
% 0.46/1.15 , clause( 778, [ ~( product1( 'e_4', X, 'e_3' ) ), product2( 'e_2', X,
% 0.46/1.15 'e_4' ), product1( 'e_3', 'e_4', 'e_1' ) ] )
% 0.46/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.46/1.15 1 ), ==>( 2, 0 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 782, [ equalish( X, 'e_3' ), ~( product1( X, 'e_4', 'e_2' ) ),
% 0.46/1.15 product1( 'e_3', 'e_4', 'e_1' ) ] )
% 0.46/1.15 , clause( 29, [ equalish( X, T ), ~( product1( X, Y, Z ) ), ~( product1( T
% 0.46/1.15 , Y, Z ) ) ] )
% 0.46/1.15 , 2, clause( 250, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4'
% 0.46/1.15 , 'e_2' ) ] )
% 0.46/1.15 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'e_4' ), :=( Z, 'e_2' ), :=( T,
% 0.46/1.15 'e_3' )] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 254, [ equalish( X, 'e_3' ), product1( 'e_3', 'e_4', 'e_1' ), ~(
% 0.46/1.15 product1( X, 'e_4', 'e_2' ) ) ] )
% 0.46/1.15 , clause( 782, [ equalish( X, 'e_3' ), ~( product1( X, 'e_4', 'e_2' ) ),
% 0.46/1.15 product1( 'e_3', 'e_4', 'e_1' ) ] )
% 0.46/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.46/1.15 2 ), ==>( 2, 1 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 786, [ equalish( X, 'e_4' ), ~( product1( 'e_3', X, 'e_2' ) ),
% 0.46/1.15 product1( 'e_3', 'e_4', 'e_1' ) ] )
% 0.46/1.15 , clause( 28, [ equalish( Y, T ), ~( product1( X, Y, Z ) ), ~( product1( X
% 0.46/1.15 , T, Z ) ) ] )
% 0.46/1.15 , 2, clause( 250, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4'
% 0.46/1.15 , 'e_2' ) ] )
% 0.46/1.15 , 1, substitution( 0, [ :=( X, 'e_3' ), :=( Y, X ), :=( Z, 'e_2' ), :=( T,
% 0.46/1.15 'e_4' )] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 255, [ equalish( X, 'e_4' ), product1( 'e_3', 'e_4', 'e_1' ), ~(
% 0.46/1.15 product1( 'e_3', X, 'e_2' ) ) ] )
% 0.46/1.15 , clause( 786, [ equalish( X, 'e_4' ), ~( product1( 'e_3', X, 'e_2' ) ),
% 0.46/1.15 product1( 'e_3', 'e_4', 'e_1' ) ] )
% 0.46/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.46/1.15 2 ), ==>( 2, 1 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 787, [ product1( 'e_3', 'e_1', 'e_1' ), product1( 'e_3', 'e_1',
% 0.46/1.15 'e_2' ), product1( 'e_3', 'e_1', 'e_3' ), product2( 'e_4', 'e_4', 'e_1' )
% 0.46/1.15 , product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 0.46/1.15 , clause( 97, [ product1( 'e_3', 'e_1', 'e_1' ), product1( 'e_3', 'e_1',
% 0.46/1.15 'e_2' ), product1( 'e_3', 'e_1', 'e_3' ), product2( 'e_4', X, 'e_1' ),
% 0.46/1.15 ~( product1( 'e_1', X, 'e_3' ) ) ] )
% 0.46/1.15 , 4, clause( 220, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4'
% 0.46/1.15 , 'e_2' ), product1( 'e_1', 'e_4', 'e_3' ) ] )
% 0.46/1.15 , 2, substitution( 0, [ :=( X, 'e_4' )] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 262, [ product1( 'e_3', 'e_1', 'e_1' ), product1( 'e_3', 'e_1',
% 0.46/1.15 'e_2' ), product1( 'e_3', 'e_1', 'e_3' ), product1( 'e_1', 'e_4', 'e_1' )
% 0.46/1.15 , product1( 'e_1', 'e_4', 'e_2' ), product2( 'e_4', 'e_4', 'e_1' ) ] )
% 0.46/1.15 , clause( 787, [ product1( 'e_3', 'e_1', 'e_1' ), product1( 'e_3', 'e_1',
% 0.46/1.15 'e_2' ), product1( 'e_3', 'e_1', 'e_3' ), product2( 'e_4', 'e_4', 'e_1' )
% 0.46/1.15 , product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.46/1.15 , 2 ), ==>( 3, 5 ), ==>( 4, 3 ), ==>( 5, 4 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 788, [ equalish( 'e_2', 'e_4' ), product1( 'e_4', 'e_2', 'e_1' ),
% 0.46/1.15 product1( 'e_4', 'e_2', 'e_2' ), product1( 'e_4', 'e_2', 'e_3' ) ] )
% 0.46/1.15 , clause( 55, [ equalish( X, Y ), ~( product1( Y, X, Y ) ) ] )
% 0.46/1.15 , 1, clause( 111, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_2'
% 0.46/1.15 , 'e_2' ), product1( 'e_4', 'e_2', 'e_3' ), product1( 'e_4', 'e_2', 'e_4'
% 0.46/1.15 ) ] )
% 0.46/1.15 , 3, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_4' )] ), substitution( 1
% 0.46/1.15 , [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 789, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_2',
% 0.46/1.15 'e_2' ), product1( 'e_4', 'e_2', 'e_3' ) ] )
% 0.46/1.15 , clause( 19, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 0.46/1.15 , 0, clause( 788, [ equalish( 'e_2', 'e_4' ), product1( 'e_4', 'e_2', 'e_1'
% 0.46/1.15 ), product1( 'e_4', 'e_2', 'e_2' ), product1( 'e_4', 'e_2', 'e_3' ) ] )
% 0.46/1.15 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 276, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_2',
% 0.46/1.15 'e_2' ), product1( 'e_4', 'e_2', 'e_3' ) ] )
% 0.46/1.15 , clause( 789, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_2',
% 0.46/1.15 'e_2' ), product1( 'e_4', 'e_2', 'e_3' ) ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.46/1.15 , 2 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 790, [ product1( 'e_3', 'e_4', 'e_1' ), product2( 'e_2', 'e_2',
% 0.46/1.15 'e_4' ), product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_2', 'e_2' )
% 0.46/1.15 ] )
% 0.46/1.15 , clause( 253, [ product1( 'e_3', 'e_4', 'e_1' ), product2( 'e_2', X, 'e_4'
% 0.46/1.15 ), ~( product1( 'e_4', X, 'e_3' ) ) ] )
% 0.46/1.15 , 2, clause( 276, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_2'
% 0.46/1.15 , 'e_2' ), product1( 'e_4', 'e_2', 'e_3' ) ] )
% 0.46/1.15 , 2, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 277, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_3', 'e_4',
% 0.46/1.15 'e_1' ), product1( 'e_4', 'e_2', 'e_2' ), product2( 'e_2', 'e_2', 'e_4' )
% 0.46/1.15 ] )
% 0.46/1.15 , clause( 790, [ product1( 'e_3', 'e_4', 'e_1' ), product2( 'e_2', 'e_2',
% 0.46/1.15 'e_4' ), product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_2', 'e_2' )
% 0.46/1.15 ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 3 ), ==>( 2
% 0.46/1.15 , 0 ), ==>( 3, 2 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 791, [ equalish( 'e_4', 'e_2' ), product1( 'e_4', 'e_2', 'e_1' ),
% 0.46/1.15 product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_4', 'e_2', 'e_2' ) ] )
% 0.46/1.15 , clause( 65, [ equalish( X, Y ), ~( product2( Y, Y, X ) ) ] )
% 0.46/1.15 , 1, clause( 277, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_3', 'e_4'
% 0.46/1.15 , 'e_1' ), product1( 'e_4', 'e_2', 'e_2' ), product2( 'e_2', 'e_2', 'e_4'
% 0.46/1.15 ) ] )
% 0.46/1.15 , 3, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_2' )] ), substitution( 1
% 0.46/1.15 , [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 792, [ equalish( 'e_4', 'e_2' ), equalish( 'e_4', 'e_2' ), product1(
% 0.46/1.15 'e_4', 'e_2', 'e_1' ), product1( 'e_3', 'e_4', 'e_1' ) ] )
% 0.46/1.15 , clause( 58, [ equalish( X, Y ), ~( product1( X, Y, Y ) ) ] )
% 0.46/1.15 , 1, clause( 791, [ equalish( 'e_4', 'e_2' ), product1( 'e_4', 'e_2', 'e_1'
% 0.46/1.15 ), product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_4', 'e_2', 'e_2' ) ] )
% 0.46/1.15 , 3, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_2' )] ), substitution( 1
% 0.46/1.15 , [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 factor(
% 0.46/1.15 clause( 793, [ equalish( 'e_4', 'e_2' ), product1( 'e_4', 'e_2', 'e_1' ),
% 0.46/1.15 product1( 'e_3', 'e_4', 'e_1' ) ] )
% 0.46/1.15 , clause( 792, [ equalish( 'e_4', 'e_2' ), equalish( 'e_4', 'e_2' ),
% 0.46/1.15 product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_3', 'e_4', 'e_1' ) ] )
% 0.46/1.15 , 0, 1, substitution( 0, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 286, [ product1( 'e_4', 'e_2', 'e_1' ), equalish( 'e_4', 'e_2' ),
% 0.46/1.15 product1( 'e_3', 'e_4', 'e_1' ) ] )
% 0.46/1.15 , clause( 793, [ equalish( 'e_4', 'e_2' ), product1( 'e_4', 'e_2', 'e_1' )
% 0.46/1.15 , product1( 'e_3', 'e_4', 'e_1' ) ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.46/1.15 , 2 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 794, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_3', 'e_4',
% 0.46/1.15 'e_1' ) ] )
% 0.46/1.15 , clause( 24, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.46/1.15 , 0, clause( 286, [ product1( 'e_4', 'e_2', 'e_1' ), equalish( 'e_4', 'e_2'
% 0.46/1.15 ), product1( 'e_3', 'e_4', 'e_1' ) ] )
% 0.46/1.15 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 290, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_3', 'e_4',
% 0.46/1.15 'e_1' ) ] )
% 0.46/1.15 , clause( 794, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_3', 'e_4',
% 0.46/1.15 'e_1' ) ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.46/1.15 ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 798, [ ~( product1( 'e_4', X, 'e_3' ) ), product2( 'e_1', X, 'e_4'
% 0.46/1.15 ), product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.46/1.15 , clause( 36, [ ~( product1( X, Y, Z ) ), product2( T, Y, X ), ~( product1(
% 0.46/1.15 Z, X, T ) ) ] )
% 0.46/1.15 , 2, clause( 290, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_3', 'e_4'
% 0.46/1.15 , 'e_1' ) ] )
% 0.46/1.15 , 1, substitution( 0, [ :=( X, 'e_4' ), :=( Y, X ), :=( Z, 'e_3' ), :=( T,
% 0.46/1.15 'e_1' )] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 291, [ product1( 'e_4', 'e_2', 'e_1' ), product2( 'e_1', X, 'e_4' )
% 0.46/1.15 , ~( product1( 'e_4', X, 'e_3' ) ) ] )
% 0.46/1.15 , clause( 798, [ ~( product1( 'e_4', X, 'e_3' ) ), product2( 'e_1', X,
% 0.46/1.15 'e_4' ), product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.46/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.46/1.15 1 ), ==>( 2, 0 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 799, [ product1( 'e_4', 'e_2', 'e_1' ), product2( 'e_1', 'e_1',
% 0.46/1.15 'e_4' ), product1( 'e_4', 'e_1', 'e_1' ), product1( 'e_4', 'e_1', 'e_2' )
% 0.46/1.15 ] )
% 0.46/1.15 , clause( 291, [ product1( 'e_4', 'e_2', 'e_1' ), product2( 'e_1', X, 'e_4'
% 0.46/1.15 ), ~( product1( 'e_4', X, 'e_3' ) ) ] )
% 0.46/1.15 , 2, clause( 104, [ product1( 'e_4', 'e_1', 'e_1' ), product1( 'e_4', 'e_1'
% 0.46/1.15 , 'e_2' ), product1( 'e_4', 'e_1', 'e_3' ) ] )
% 0.46/1.15 , 2, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 296, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_1',
% 0.46/1.15 'e_1' ), product1( 'e_4', 'e_1', 'e_2' ), product2( 'e_1', 'e_1', 'e_4' )
% 0.46/1.15 ] )
% 0.46/1.15 , clause( 799, [ product1( 'e_4', 'e_2', 'e_1' ), product2( 'e_1', 'e_1',
% 0.46/1.15 'e_4' ), product1( 'e_4', 'e_1', 'e_1' ), product1( 'e_4', 'e_1', 'e_2' )
% 0.46/1.15 ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 3 ), ==>( 2
% 0.46/1.15 , 1 ), ==>( 3, 2 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 800, [ equalish( 'e_4', 'e_1' ), product1( 'e_4', 'e_2', 'e_1' ),
% 0.46/1.15 product1( 'e_4', 'e_1', 'e_1' ), product1( 'e_4', 'e_1', 'e_2' ) ] )
% 0.46/1.15 , clause( 65, [ equalish( X, Y ), ~( product2( Y, Y, X ) ) ] )
% 0.46/1.15 , 1, clause( 296, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_1'
% 0.46/1.15 , 'e_1' ), product1( 'e_4', 'e_1', 'e_2' ), product2( 'e_1', 'e_1', 'e_4'
% 0.46/1.15 ) ] )
% 0.46/1.15 , 3, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_1' )] ), substitution( 1
% 0.46/1.15 , [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 801, [ equalish( 'e_4', 'e_1' ), equalish( 'e_4', 'e_1' ), product1(
% 0.46/1.15 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_1', 'e_2' ) ] )
% 0.46/1.15 , clause( 58, [ equalish( X, Y ), ~( product1( X, Y, Y ) ) ] )
% 0.46/1.15 , 1, clause( 800, [ equalish( 'e_4', 'e_1' ), product1( 'e_4', 'e_2', 'e_1'
% 0.46/1.15 ), product1( 'e_4', 'e_1', 'e_1' ), product1( 'e_4', 'e_1', 'e_2' ) ] )
% 0.46/1.15 , 2, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_1' )] ), substitution( 1
% 0.46/1.15 , [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 factor(
% 0.46/1.15 clause( 802, [ equalish( 'e_4', 'e_1' ), product1( 'e_4', 'e_2', 'e_1' ),
% 0.46/1.15 product1( 'e_4', 'e_1', 'e_2' ) ] )
% 0.46/1.15 , clause( 801, [ equalish( 'e_4', 'e_1' ), equalish( 'e_4', 'e_1' ),
% 0.46/1.15 product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_1', 'e_2' ) ] )
% 0.46/1.15 , 0, 1, substitution( 0, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 305, [ product1( 'e_4', 'e_2', 'e_1' ), equalish( 'e_4', 'e_1' ),
% 0.46/1.15 product1( 'e_4', 'e_1', 'e_2' ) ] )
% 0.46/1.15 , clause( 802, [ equalish( 'e_4', 'e_1' ), product1( 'e_4', 'e_2', 'e_1' )
% 0.46/1.15 , product1( 'e_4', 'e_1', 'e_2' ) ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.46/1.15 , 2 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 803, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_1',
% 0.46/1.15 'e_2' ) ] )
% 0.46/1.15 , clause( 23, [ ~( equalish( 'e_4', 'e_1' ) ) ] )
% 0.46/1.15 , 0, clause( 305, [ product1( 'e_4', 'e_2', 'e_1' ), equalish( 'e_4', 'e_1'
% 0.46/1.15 ), product1( 'e_4', 'e_1', 'e_2' ) ] )
% 0.46/1.15 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 309, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_1',
% 0.46/1.15 'e_2' ) ] )
% 0.46/1.15 , clause( 803, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_1',
% 0.46/1.15 'e_2' ) ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.46/1.15 ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 807, [ equalish( X, 'e_4' ), ~( product1( X, 'e_1', 'e_2' ) ),
% 0.46/1.15 product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.46/1.15 , clause( 29, [ equalish( X, T ), ~( product1( X, Y, Z ) ), ~( product1( T
% 0.46/1.15 , Y, Z ) ) ] )
% 0.46/1.15 , 2, clause( 309, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_1'
% 0.46/1.15 , 'e_2' ) ] )
% 0.46/1.15 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'e_1' ), :=( Z, 'e_2' ), :=( T,
% 0.46/1.15 'e_4' )] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 312, [ equalish( X, 'e_4' ), product1( 'e_4', 'e_2', 'e_1' ), ~(
% 0.46/1.15 product1( X, 'e_1', 'e_2' ) ) ] )
% 0.46/1.15 , clause( 807, [ equalish( X, 'e_4' ), ~( product1( X, 'e_1', 'e_2' ) ),
% 0.46/1.15 product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.46/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.46/1.15 2 ), ==>( 2, 1 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 808, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.46/1.15 'e_2' ), product2( 'e_3', 'e_3', 'e_4' ), product1( 'e_4', 'e_3', 'e_1' )
% 0.46/1.15 ] )
% 0.46/1.15 , clause( 228, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.46/1.15 'e_2' ), product2( 'e_3', X, 'e_4' ), ~( product1( 'e_4', X, 'e_2' ) ) ]
% 0.46/1.15 )
% 0.46/1.15 , 3, clause( 133, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3'
% 0.46/1.15 , 'e_2' ) ] )
% 0.46/1.15 , 1, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 336, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.46/1.15 'e_2' ), product1( 'e_4', 'e_3', 'e_1' ), product2( 'e_3', 'e_3', 'e_4' )
% 0.46/1.15 ] )
% 0.46/1.15 , clause( 808, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.46/1.15 'e_2' ), product2( 'e_3', 'e_3', 'e_4' ), product1( 'e_4', 'e_3', 'e_1' )
% 0.46/1.15 ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.46/1.15 , 3 ), ==>( 3, 2 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 809, [ equalish( 'e_4', 'e_3' ), product1( 'e_2', 'e_4', 'e_1' ),
% 0.46/1.15 product1( 'e_2', 'e_4', 'e_2' ), product1( 'e_4', 'e_3', 'e_1' ) ] )
% 0.46/1.15 , clause( 65, [ equalish( X, Y ), ~( product2( Y, Y, X ) ) ] )
% 0.46/1.15 , 1, clause( 336, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4'
% 0.46/1.15 , 'e_2' ), product1( 'e_4', 'e_3', 'e_1' ), product2( 'e_3', 'e_3', 'e_4'
% 0.46/1.15 ) ] )
% 0.46/1.15 , 3, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_3' )] ), substitution( 1
% 0.46/1.15 , [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 810, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.46/1.15 'e_2' ), product1( 'e_4', 'e_3', 'e_1' ) ] )
% 0.46/1.15 , clause( 25, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.46/1.15 , 0, clause( 809, [ equalish( 'e_4', 'e_3' ), product1( 'e_2', 'e_4', 'e_1'
% 0.46/1.15 ), product1( 'e_2', 'e_4', 'e_2' ), product1( 'e_4', 'e_3', 'e_1' ) ] )
% 0.46/1.15 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 344, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_4', 'e_3',
% 0.46/1.15 'e_1' ), product1( 'e_2', 'e_4', 'e_2' ) ] )
% 0.46/1.15 , clause( 810, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.46/1.15 'e_2' ), product1( 'e_4', 'e_3', 'e_1' ) ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2
% 0.46/1.15 , 1 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 811, [ equalish( 'e_4', 'e_2' ), product1( 'e_2', 'e_4', 'e_1' ),
% 0.46/1.15 product1( 'e_4', 'e_3', 'e_1' ) ] )
% 0.46/1.15 , clause( 55, [ equalish( X, Y ), ~( product1( Y, X, Y ) ) ] )
% 0.46/1.15 , 1, clause( 344, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_4', 'e_3'
% 0.46/1.15 , 'e_1' ), product1( 'e_2', 'e_4', 'e_2' ) ] )
% 0.46/1.15 , 2, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_2' )] ), substitution( 1
% 0.46/1.15 , [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 812, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_4', 'e_3',
% 0.46/1.15 'e_1' ) ] )
% 0.46/1.15 , clause( 24, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.46/1.15 , 0, clause( 811, [ equalish( 'e_4', 'e_2' ), product1( 'e_2', 'e_4', 'e_1'
% 0.46/1.15 ), product1( 'e_4', 'e_3', 'e_1' ) ] )
% 0.46/1.15 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 350, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_2', 'e_4',
% 0.46/1.15 'e_1' ) ] )
% 0.46/1.15 , clause( 812, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_4', 'e_3',
% 0.46/1.15 'e_1' ) ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.46/1.15 ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 816, [ equalish( X, 'e_2' ), ~( product1( X, 'e_4', 'e_1' ) ),
% 0.46/1.15 product1( 'e_4', 'e_3', 'e_1' ) ] )
% 0.46/1.15 , clause( 29, [ equalish( X, T ), ~( product1( X, Y, Z ) ), ~( product1( T
% 0.46/1.15 , Y, Z ) ) ] )
% 0.46/1.15 , 2, clause( 350, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_2', 'e_4'
% 0.46/1.15 , 'e_1' ) ] )
% 0.46/1.15 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'e_4' ), :=( Z, 'e_1' ), :=( T,
% 0.46/1.15 'e_2' )] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 355, [ equalish( X, 'e_2' ), product1( 'e_4', 'e_3', 'e_1' ), ~(
% 0.46/1.15 product1( X, 'e_4', 'e_1' ) ) ] )
% 0.46/1.15 , clause( 816, [ equalish( X, 'e_2' ), ~( product1( X, 'e_4', 'e_1' ) ),
% 0.46/1.15 product1( 'e_4', 'e_3', 'e_1' ) ] )
% 0.46/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.46/1.15 2 ), ==>( 2, 1 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 817, [ equalish( 'e_1', 'e_4' ), product1( 'e_3', 'e_1', 'e_1' ),
% 0.46/1.15 product1( 'e_3', 'e_1', 'e_2' ), product1( 'e_3', 'e_1', 'e_3' ),
% 0.46/1.15 product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 0.46/1.15 , clause( 65, [ equalish( X, Y ), ~( product2( Y, Y, X ) ) ] )
% 0.46/1.15 , 1, clause( 262, [ product1( 'e_3', 'e_1', 'e_1' ), product1( 'e_3', 'e_1'
% 0.46/1.15 , 'e_2' ), product1( 'e_3', 'e_1', 'e_3' ), product1( 'e_1', 'e_4', 'e_1'
% 0.46/1.15 ), product1( 'e_1', 'e_4', 'e_2' ), product2( 'e_4', 'e_4', 'e_1' ) ] )
% 0.46/1.15 , 5, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_4' )] ), substitution( 1
% 0.46/1.15 , [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 818, [ product1( 'e_3', 'e_1', 'e_1' ), product1( 'e_3', 'e_1',
% 0.46/1.15 'e_2' ), product1( 'e_3', 'e_1', 'e_3' ), product1( 'e_1', 'e_4', 'e_1' )
% 0.46/1.15 , product1( 'e_1', 'e_4', 'e_2' ) ] )
% 0.46/1.15 , clause( 16, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.46/1.15 , 0, clause( 817, [ equalish( 'e_1', 'e_4' ), product1( 'e_3', 'e_1', 'e_1'
% 0.46/1.15 ), product1( 'e_3', 'e_1', 'e_2' ), product1( 'e_3', 'e_1', 'e_3' ),
% 0.46/1.15 product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 0.46/1.15 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 530, [ product1( 'e_3', 'e_1', 'e_1' ), product1( 'e_3', 'e_1',
% 0.46/1.15 'e_2' ), product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4', 'e_2' )
% 0.46/1.15 , product1( 'e_3', 'e_1', 'e_3' ) ] )
% 0.46/1.15 , clause( 818, [ product1( 'e_3', 'e_1', 'e_1' ), product1( 'e_3', 'e_1',
% 0.46/1.15 'e_2' ), product1( 'e_3', 'e_1', 'e_3' ), product1( 'e_1', 'e_4', 'e_1' )
% 0.46/1.15 , product1( 'e_1', 'e_4', 'e_2' ) ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.46/1.15 , 4 ), ==>( 3, 2 ), ==>( 4, 3 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 820, [ equalish( 'e_1', 'e_3' ), product1( 'e_3', 'e_1', 'e_1' ),
% 0.46/1.15 product1( 'e_3', 'e_1', 'e_2' ), product1( 'e_1', 'e_4', 'e_1' ),
% 0.46/1.15 product1( 'e_1', 'e_4', 'e_2' ) ] )
% 0.46/1.15 , clause( 55, [ equalish( X, Y ), ~( product1( Y, X, Y ) ) ] )
% 0.46/1.15 , 1, clause( 530, [ product1( 'e_3', 'e_1', 'e_1' ), product1( 'e_3', 'e_1'
% 0.46/1.15 , 'e_2' ), product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4', 'e_2'
% 0.46/1.15 ), product1( 'e_3', 'e_1', 'e_3' ) ] )
% 0.46/1.15 , 4, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_3' )] ), substitution( 1
% 0.46/1.15 , [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 821, [ product1( 'e_3', 'e_1', 'e_1' ), product1( 'e_3', 'e_1',
% 0.46/1.15 'e_2' ), product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4', 'e_2' )
% 0.46/1.15 ] )
% 0.46/1.15 , clause( 15, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.46/1.15 , 0, clause( 820, [ equalish( 'e_1', 'e_3' ), product1( 'e_3', 'e_1', 'e_1'
% 0.46/1.15 ), product1( 'e_3', 'e_1', 'e_2' ), product1( 'e_1', 'e_4', 'e_1' ),
% 0.46/1.15 product1( 'e_1', 'e_4', 'e_2' ) ] )
% 0.46/1.15 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 535, [ product1( 'e_3', 'e_1', 'e_1' ), product1( 'e_1', 'e_4',
% 0.46/1.15 'e_1' ), product1( 'e_3', 'e_1', 'e_2' ), product1( 'e_1', 'e_4', 'e_2' )
% 0.46/1.15 ] )
% 0.46/1.15 , clause( 821, [ product1( 'e_3', 'e_1', 'e_1' ), product1( 'e_3', 'e_1',
% 0.46/1.15 'e_2' ), product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4', 'e_2' )
% 0.46/1.15 ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2
% 0.46/1.15 , 1 ), ==>( 3, 3 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 822, [ equalish( 'e_1', 'e_3' ), product1( 'e_3', 'e_4', 'e_1' ),
% 0.46/1.15 product1( 'e_3', 'e_1', 'e_1' ), product1( 'e_1', 'e_4', 'e_1' ),
% 0.46/1.15 product1( 'e_3', 'e_1', 'e_2' ) ] )
% 0.46/1.15 , clause( 254, [ equalish( X, 'e_3' ), product1( 'e_3', 'e_4', 'e_1' ), ~(
% 0.46/1.15 product1( X, 'e_4', 'e_2' ) ) ] )
% 0.46/1.15 , 2, clause( 535, [ product1( 'e_3', 'e_1', 'e_1' ), product1( 'e_1', 'e_4'
% 0.46/1.15 , 'e_1' ), product1( 'e_3', 'e_1', 'e_2' ), product1( 'e_1', 'e_4', 'e_2'
% 0.46/1.15 ) ] )
% 0.46/1.15 , 3, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 823, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_1',
% 0.46/1.15 'e_1' ), product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_3', 'e_1', 'e_2' )
% 0.46/1.15 ] )
% 0.46/1.15 , clause( 15, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.46/1.15 , 0, clause( 822, [ equalish( 'e_1', 'e_3' ), product1( 'e_3', 'e_4', 'e_1'
% 0.46/1.15 ), product1( 'e_3', 'e_1', 'e_1' ), product1( 'e_1', 'e_4', 'e_1' ),
% 0.46/1.15 product1( 'e_3', 'e_1', 'e_2' ) ] )
% 0.46/1.15 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 536, [ product1( 'e_3', 'e_1', 'e_1' ), product1( 'e_1', 'e_4',
% 0.46/1.15 'e_1' ), product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_1', 'e_2' )
% 0.46/1.15 ] )
% 0.46/1.15 , clause( 823, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_1',
% 0.46/1.15 'e_1' ), product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_3', 'e_1', 'e_2' )
% 0.46/1.15 ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.46/1.15 , 1 ), ==>( 3, 3 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 824, [ equalish( 'e_1', 'e_4' ), product1( 'e_3', 'e_4', 'e_1' ),
% 0.46/1.15 product1( 'e_3', 'e_1', 'e_1' ), product1( 'e_1', 'e_4', 'e_1' ),
% 0.46/1.15 product1( 'e_3', 'e_4', 'e_1' ) ] )
% 0.46/1.15 , clause( 255, [ equalish( X, 'e_4' ), product1( 'e_3', 'e_4', 'e_1' ), ~(
% 0.46/1.15 product1( 'e_3', X, 'e_2' ) ) ] )
% 0.46/1.15 , 2, clause( 536, [ product1( 'e_3', 'e_1', 'e_1' ), product1( 'e_1', 'e_4'
% 0.46/1.15 , 'e_1' ), product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_1', 'e_2'
% 0.46/1.15 ) ] )
% 0.46/1.15 , 3, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 826, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_1',
% 0.46/1.15 'e_1' ), product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_3', 'e_4', 'e_1' )
% 0.46/1.15 ] )
% 0.46/1.15 , clause( 16, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.46/1.15 , 0, clause( 824, [ equalish( 'e_1', 'e_4' ), product1( 'e_3', 'e_4', 'e_1'
% 0.46/1.15 ), product1( 'e_3', 'e_1', 'e_1' ), product1( 'e_1', 'e_4', 'e_1' ),
% 0.46/1.15 product1( 'e_3', 'e_4', 'e_1' ) ] )
% 0.46/1.15 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 factor(
% 0.46/1.15 clause( 827, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_1',
% 0.46/1.15 'e_1' ), product1( 'e_1', 'e_4', 'e_1' ) ] )
% 0.46/1.15 , clause( 826, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_1',
% 0.46/1.15 'e_1' ), product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_3', 'e_4', 'e_1' )
% 0.46/1.15 ] )
% 0.46/1.15 , 0, 3, substitution( 0, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 542, [ product1( 'e_3', 'e_1', 'e_1' ), product1( 'e_1', 'e_4',
% 0.46/1.15 'e_1' ), product1( 'e_3', 'e_4', 'e_1' ) ] )
% 0.46/1.15 , clause( 827, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_1',
% 0.46/1.15 'e_1' ), product1( 'e_1', 'e_4', 'e_1' ) ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.46/1.15 , 1 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 829, [ equalish( 'e_3', 'e_2' ), product1( 'e_4', 'e_3', 'e_1' ),
% 0.46/1.15 product1( 'e_3', 'e_1', 'e_1' ), product1( 'e_1', 'e_4', 'e_1' ) ] )
% 0.46/1.15 , clause( 355, [ equalish( X, 'e_2' ), product1( 'e_4', 'e_3', 'e_1' ), ~(
% 0.46/1.15 product1( X, 'e_4', 'e_1' ) ) ] )
% 0.46/1.15 , 2, clause( 542, [ product1( 'e_3', 'e_1', 'e_1' ), product1( 'e_1', 'e_4'
% 0.46/1.15 , 'e_1' ), product1( 'e_3', 'e_4', 'e_1' ) ] )
% 0.46/1.15 , 2, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 830, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_3', 'e_1',
% 0.46/1.15 'e_1' ), product1( 'e_1', 'e_4', 'e_1' ) ] )
% 0.46/1.15 , clause( 21, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.46/1.15 , 0, clause( 829, [ equalish( 'e_3', 'e_2' ), product1( 'e_4', 'e_3', 'e_1'
% 0.46/1.15 ), product1( 'e_3', 'e_1', 'e_1' ), product1( 'e_1', 'e_4', 'e_1' ) ] )
% 0.46/1.15 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 543, [ product1( 'e_3', 'e_1', 'e_1' ), product1( 'e_4', 'e_3',
% 0.46/1.15 'e_1' ), product1( 'e_1', 'e_4', 'e_1' ) ] )
% 0.46/1.15 , clause( 830, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_3', 'e_1',
% 0.46/1.15 'e_1' ), product1( 'e_1', 'e_4', 'e_1' ) ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.46/1.15 , 2 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 831, [ equalish( 'e_1', 'e_2' ), product1( 'e_4', 'e_3', 'e_1' ),
% 0.46/1.15 product1( 'e_3', 'e_1', 'e_1' ), product1( 'e_4', 'e_3', 'e_1' ) ] )
% 0.46/1.15 , clause( 355, [ equalish( X, 'e_2' ), product1( 'e_4', 'e_3', 'e_1' ), ~(
% 0.46/1.15 product1( X, 'e_4', 'e_1' ) ) ] )
% 0.46/1.15 , 2, clause( 543, [ product1( 'e_3', 'e_1', 'e_1' ), product1( 'e_4', 'e_3'
% 0.46/1.15 , 'e_1' ), product1( 'e_1', 'e_4', 'e_1' ) ] )
% 0.46/1.15 , 2, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 833, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_3', 'e_1',
% 0.46/1.15 'e_1' ), product1( 'e_4', 'e_3', 'e_1' ) ] )
% 0.46/1.15 , clause( 14, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.46/1.15 , 0, clause( 831, [ equalish( 'e_1', 'e_2' ), product1( 'e_4', 'e_3', 'e_1'
% 0.46/1.15 ), product1( 'e_3', 'e_1', 'e_1' ), product1( 'e_4', 'e_3', 'e_1' ) ] )
% 0.46/1.15 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 factor(
% 0.46/1.15 clause( 834, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_3', 'e_1',
% 0.46/1.15 'e_1' ) ] )
% 0.46/1.15 , clause( 833, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_3', 'e_1',
% 0.46/1.15 'e_1' ), product1( 'e_4', 'e_3', 'e_1' ) ] )
% 0.46/1.15 , 0, 2, substitution( 0, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 552, [ product1( 'e_3', 'e_1', 'e_1' ), product1( 'e_4', 'e_3',
% 0.46/1.15 'e_1' ) ] )
% 0.46/1.15 , clause( 834, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_3', 'e_1',
% 0.46/1.15 'e_1' ) ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.46/1.15 ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 838, [ ~( product1( 'e_3', X, 'e_4' ) ), product2( 'e_1', X, 'e_3'
% 0.46/1.15 ), product1( 'e_3', 'e_1', 'e_1' ) ] )
% 0.46/1.15 , clause( 36, [ ~( product1( X, Y, Z ) ), product2( T, Y, X ), ~( product1(
% 0.46/1.15 Z, X, T ) ) ] )
% 0.46/1.15 , 2, clause( 552, [ product1( 'e_3', 'e_1', 'e_1' ), product1( 'e_4', 'e_3'
% 0.46/1.15 , 'e_1' ) ] )
% 0.46/1.15 , 1, substitution( 0, [ :=( X, 'e_3' ), :=( Y, X ), :=( Z, 'e_4' ), :=( T,
% 0.46/1.15 'e_1' )] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 555, [ product1( 'e_3', 'e_1', 'e_1' ), product2( 'e_1', X, 'e_3' )
% 0.46/1.15 , ~( product1( 'e_3', X, 'e_4' ) ) ] )
% 0.46/1.15 , clause( 838, [ ~( product1( 'e_3', X, 'e_4' ) ), product2( 'e_1', X,
% 0.46/1.15 'e_3' ), product1( 'e_3', 'e_1', 'e_1' ) ] )
% 0.46/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.46/1.15 1 ), ==>( 2, 0 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 842, [ equalish( X, 'e_3' ), ~( product1( 'e_4', X, 'e_1' ) ),
% 0.46/1.15 product1( 'e_3', 'e_1', 'e_1' ) ] )
% 0.46/1.15 , clause( 28, [ equalish( Y, T ), ~( product1( X, Y, Z ) ), ~( product1( X
% 0.46/1.15 , T, Z ) ) ] )
% 0.46/1.15 , 2, clause( 552, [ product1( 'e_3', 'e_1', 'e_1' ), product1( 'e_4', 'e_3'
% 0.46/1.15 , 'e_1' ) ] )
% 0.46/1.15 , 1, substitution( 0, [ :=( X, 'e_4' ), :=( Y, X ), :=( Z, 'e_1' ), :=( T,
% 0.46/1.15 'e_3' )] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 557, [ equalish( X, 'e_3' ), product1( 'e_3', 'e_1', 'e_1' ), ~(
% 0.46/1.15 product1( 'e_4', X, 'e_1' ) ) ] )
% 0.46/1.15 , clause( 842, [ equalish( X, 'e_3' ), ~( product1( 'e_4', X, 'e_1' ) ),
% 0.46/1.15 product1( 'e_3', 'e_1', 'e_1' ) ] )
% 0.46/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.46/1.15 2 ), ==>( 2, 1 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 843, [ product1( 'e_3', 'e_1', 'e_1' ), product2( 'e_1', 'e_1',
% 0.46/1.15 'e_3' ), product1( 'e_3', 'e_1', 'e_1' ), product1( 'e_3', 'e_1', 'e_2' )
% 0.46/1.15 , product1( 'e_3', 'e_1', 'e_3' ) ] )
% 0.46/1.15 , clause( 555, [ product1( 'e_3', 'e_1', 'e_1' ), product2( 'e_1', X, 'e_3'
% 0.46/1.15 ), ~( product1( 'e_3', X, 'e_4' ) ) ] )
% 0.46/1.15 , 2, clause( 91, [ product1( 'e_3', 'e_1', 'e_1' ), product1( 'e_3', 'e_1'
% 0.46/1.15 , 'e_2' ), product1( 'e_3', 'e_1', 'e_3' ), product1( 'e_3', 'e_1', 'e_4'
% 0.46/1.15 ) ] )
% 0.46/1.15 , 3, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 factor(
% 0.46/1.15 clause( 844, [ product1( 'e_3', 'e_1', 'e_1' ), product2( 'e_1', 'e_1',
% 0.46/1.15 'e_3' ), product1( 'e_3', 'e_1', 'e_2' ), product1( 'e_3', 'e_1', 'e_3' )
% 0.46/1.15 ] )
% 0.46/1.15 , clause( 843, [ product1( 'e_3', 'e_1', 'e_1' ), product2( 'e_1', 'e_1',
% 0.46/1.15 'e_3' ), product1( 'e_3', 'e_1', 'e_1' ), product1( 'e_3', 'e_1', 'e_2' )
% 0.46/1.15 , product1( 'e_3', 'e_1', 'e_3' ) ] )
% 0.46/1.15 , 0, 2, substitution( 0, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 565, [ product1( 'e_3', 'e_1', 'e_1' ), product1( 'e_3', 'e_1',
% 0.46/1.15 'e_2' ), product1( 'e_3', 'e_1', 'e_3' ), product2( 'e_1', 'e_1', 'e_3' )
% 0.46/1.15 ] )
% 0.46/1.15 , clause( 844, [ product1( 'e_3', 'e_1', 'e_1' ), product2( 'e_1', 'e_1',
% 0.46/1.15 'e_3' ), product1( 'e_3', 'e_1', 'e_2' ), product1( 'e_3', 'e_1', 'e_3' )
% 0.46/1.15 ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 3 ), ==>( 2
% 0.46/1.15 , 1 ), ==>( 3, 2 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 845, [ equalish( 'e_3', 'e_1' ), product1( 'e_3', 'e_1', 'e_1' ),
% 0.46/1.15 product1( 'e_3', 'e_1', 'e_2' ), product1( 'e_3', 'e_1', 'e_3' ) ] )
% 0.46/1.15 , clause( 65, [ equalish( X, Y ), ~( product2( Y, Y, X ) ) ] )
% 0.46/1.15 , 1, clause( 565, [ product1( 'e_3', 'e_1', 'e_1' ), product1( 'e_3', 'e_1'
% 0.46/1.15 , 'e_2' ), product1( 'e_3', 'e_1', 'e_3' ), product2( 'e_1', 'e_1', 'e_3'
% 0.46/1.15 ) ] )
% 0.46/1.15 , 3, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_1' )] ), substitution( 1
% 0.46/1.15 , [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 846, [ equalish( 'e_3', 'e_1' ), equalish( 'e_3', 'e_1' ), product1(
% 0.46/1.15 'e_3', 'e_1', 'e_2' ), product1( 'e_3', 'e_1', 'e_3' ) ] )
% 0.46/1.15 , clause( 58, [ equalish( X, Y ), ~( product1( X, Y, Y ) ) ] )
% 0.46/1.15 , 1, clause( 845, [ equalish( 'e_3', 'e_1' ), product1( 'e_3', 'e_1', 'e_1'
% 0.46/1.15 ), product1( 'e_3', 'e_1', 'e_2' ), product1( 'e_3', 'e_1', 'e_3' ) ] )
% 0.46/1.15 , 1, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_1' )] ), substitution( 1
% 0.46/1.15 , [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 factor(
% 0.46/1.15 clause( 847, [ equalish( 'e_3', 'e_1' ), product1( 'e_3', 'e_1', 'e_2' ),
% 0.46/1.15 product1( 'e_3', 'e_1', 'e_3' ) ] )
% 0.46/1.15 , clause( 846, [ equalish( 'e_3', 'e_1' ), equalish( 'e_3', 'e_1' ),
% 0.46/1.15 product1( 'e_3', 'e_1', 'e_2' ), product1( 'e_3', 'e_1', 'e_3' ) ] )
% 0.46/1.15 , 0, 1, substitution( 0, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 616, [ product1( 'e_3', 'e_1', 'e_2' ), equalish( 'e_3', 'e_1' ),
% 0.46/1.15 product1( 'e_3', 'e_1', 'e_3' ) ] )
% 0.46/1.15 , clause( 847, [ equalish( 'e_3', 'e_1' ), product1( 'e_3', 'e_1', 'e_2' )
% 0.46/1.15 , product1( 'e_3', 'e_1', 'e_3' ) ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.46/1.15 , 2 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 848, [ product1( 'e_3', 'e_1', 'e_2' ), product1( 'e_3', 'e_1',
% 0.46/1.15 'e_3' ) ] )
% 0.46/1.15 , clause( 20, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.46/1.15 , 0, clause( 616, [ product1( 'e_3', 'e_1', 'e_2' ), equalish( 'e_3', 'e_1'
% 0.46/1.15 ), product1( 'e_3', 'e_1', 'e_3' ) ] )
% 0.46/1.15 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 620, [ product1( 'e_3', 'e_1', 'e_2' ), product1( 'e_3', 'e_1',
% 0.46/1.15 'e_3' ) ] )
% 0.46/1.15 , clause( 848, [ product1( 'e_3', 'e_1', 'e_2' ), product1( 'e_3', 'e_1',
% 0.46/1.15 'e_3' ) ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.46/1.15 ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 849, [ equalish( 'e_1', 'e_3' ), product1( 'e_3', 'e_1', 'e_2' ) ]
% 0.46/1.15 )
% 0.46/1.15 , clause( 55, [ equalish( X, Y ), ~( product1( Y, X, Y ) ) ] )
% 0.46/1.15 , 1, clause( 620, [ product1( 'e_3', 'e_1', 'e_2' ), product1( 'e_3', 'e_1'
% 0.46/1.15 , 'e_3' ) ] )
% 0.46/1.15 , 1, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_3' )] ), substitution( 1
% 0.46/1.15 , [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 850, [ product1( 'e_3', 'e_1', 'e_2' ) ] )
% 0.46/1.15 , clause( 15, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.46/1.15 , 0, clause( 849, [ equalish( 'e_1', 'e_3' ), product1( 'e_3', 'e_1', 'e_2'
% 0.46/1.15 ) ] )
% 0.46/1.15 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 625, [ product1( 'e_3', 'e_1', 'e_2' ) ] )
% 0.46/1.15 , clause( 850, [ product1( 'e_3', 'e_1', 'e_2' ) ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 851, [ equalish( 'e_3', 'e_4' ), product1( 'e_4', 'e_2', 'e_1' ) ]
% 0.46/1.15 )
% 0.46/1.15 , clause( 312, [ equalish( X, 'e_4' ), product1( 'e_4', 'e_2', 'e_1' ), ~(
% 0.46/1.15 product1( X, 'e_1', 'e_2' ) ) ] )
% 0.46/1.15 , 2, clause( 625, [ product1( 'e_3', 'e_1', 'e_2' ) ] )
% 0.46/1.15 , 0, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 852, [ product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.46/1.15 , clause( 22, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.46/1.15 , 0, clause( 851, [ equalish( 'e_3', 'e_4' ), product1( 'e_4', 'e_2', 'e_1'
% 0.46/1.15 ) ] )
% 0.46/1.15 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 630, [ product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.46/1.15 , clause( 852, [ product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 853, [ equalish( 'e_2', 'e_3' ), product1( 'e_3', 'e_1', 'e_1' ) ]
% 0.46/1.15 )
% 0.46/1.15 , clause( 557, [ equalish( X, 'e_3' ), product1( 'e_3', 'e_1', 'e_1' ), ~(
% 0.46/1.15 product1( 'e_4', X, 'e_1' ) ) ] )
% 0.46/1.15 , 2, clause( 630, [ product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.46/1.15 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 854, [ product1( 'e_3', 'e_1', 'e_1' ) ] )
% 0.46/1.15 , clause( 18, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.46/1.15 , 0, clause( 853, [ equalish( 'e_2', 'e_3' ), product1( 'e_3', 'e_1', 'e_1'
% 0.46/1.15 ) ] )
% 0.46/1.15 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 637, [ product1( 'e_3', 'e_1', 'e_1' ) ] )
% 0.46/1.15 , clause( 854, [ product1( 'e_3', 'e_1', 'e_1' ) ] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 855, [ equalish( 'e_3', 'e_1' ) ] )
% 0.46/1.15 , clause( 58, [ equalish( X, Y ), ~( product1( X, Y, Y ) ) ] )
% 0.46/1.15 , 1, clause( 637, [ product1( 'e_3', 'e_1', 'e_1' ) ] )
% 0.46/1.15 , 0, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_1' )] ), substitution( 1
% 0.46/1.15 , [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 resolution(
% 0.46/1.15 clause( 856, [] )
% 0.46/1.15 , clause( 20, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.46/1.15 , 0, clause( 855, [ equalish( 'e_3', 'e_1' ) ] )
% 0.46/1.15 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 subsumption(
% 0.46/1.15 clause( 652, [] )
% 0.46/1.15 , clause( 856, [] )
% 0.46/1.15 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 end.
% 0.46/1.15
% 0.46/1.15 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.46/1.15
% 0.46/1.15 Memory use:
% 0.46/1.15
% 0.46/1.15 space for terms: 11792
% 0.46/1.15 space for clauses: 28344
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 clauses generated: 1605
% 0.46/1.15 clauses kept: 653
% 0.46/1.15 clauses selected: 377
% 0.46/1.15 clauses deleted: 88
% 0.46/1.15 clauses inuse deleted: 0
% 0.46/1.15
% 0.46/1.15 subsentry: 3730
% 0.46/1.15 literals s-matched: 2509
% 0.46/1.15 literals matched: 2220
% 0.46/1.15 full subsumption: 36
% 0.46/1.15
% 0.46/1.15 checksum: 113326658
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 Bliksem ended
%------------------------------------------------------------------------------