TSTP Solution File: GRP124-9.004 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP124-9.004 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.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 07:35:07 EDT 2022
% Result : Unsatisfiable 1.01s 1.38s
% Output : Refutation 1.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP124-9.004 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Mon Jun 13 11:32:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.01/1.38 *** allocated 10000 integers for termspace/termends
% 1.01/1.38 *** allocated 10000 integers for clauses
% 1.01/1.38 *** allocated 10000 integers for justifications
% 1.01/1.38 Bliksem 1.12
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 Automatic Strategy Selection
% 1.01/1.38
% 1.01/1.38 Clauses:
% 1.01/1.38 [
% 1.01/1.38 [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ), product( 'e_1',
% 1.01/1.38 X, Y ), product( 'e_2', X, Y ), product( 'e_3', X, Y ), product( 'e_4', X
% 1.01/1.38 , Y ) ],
% 1.01/1.38 [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ), product( X,
% 1.01/1.38 'e_1', Y ), product( X, 'e_2', Y ), product( X, 'e_3', Y ), product( X,
% 1.01/1.38 'e_4', Y ) ],
% 1.01/1.38 [ 'group_element'( 'e_1' ) ],
% 1.01/1.38 [ 'group_element'( 'e_2' ) ],
% 1.01/1.38 [ 'group_element'( 'e_3' ) ],
% 1.01/1.38 [ 'group_element'( 'e_4' ) ],
% 1.01/1.38 [ ~( equalish( 'e_1', 'e_2' ) ) ],
% 1.01/1.38 [ ~( equalish( 'e_1', 'e_3' ) ) ],
% 1.01/1.38 [ ~( equalish( 'e_1', 'e_4' ) ) ],
% 1.01/1.38 [ ~( equalish( 'e_2', 'e_1' ) ) ],
% 1.01/1.38 [ ~( equalish( 'e_2', 'e_3' ) ) ],
% 1.01/1.38 [ ~( equalish( 'e_2', 'e_4' ) ) ],
% 1.01/1.38 [ ~( equalish( 'e_3', 'e_1' ) ) ],
% 1.01/1.38 [ ~( equalish( 'e_3', 'e_2' ) ) ],
% 1.01/1.38 [ ~( equalish( 'e_3', 'e_4' ) ) ],
% 1.01/1.38 [ ~( equalish( 'e_4', 'e_1' ) ) ],
% 1.01/1.38 [ ~( equalish( 'e_4', 'e_2' ) ) ],
% 1.01/1.38 [ ~( equalish( 'e_4', 'e_3' ) ) ],
% 1.01/1.38 [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ), product1( X, Y,
% 1.01/1.38 'e_1' ), product1( X, Y, 'e_2' ), product1( X, Y, 'e_3' ), product1( X, Y
% 1.01/1.38 , 'e_4' ) ],
% 1.01/1.38 [ ~( product1( X, Y, Z ) ), ~( product1( X, Y, T ) ), equalish( Z, T ) ]
% 1.01/1.38 ,
% 1.01/1.38 [ ~( product1( X, Y, Z ) ), ~( product1( X, T, Z ) ), equalish( Y, T ) ]
% 1.01/1.38 ,
% 1.01/1.38 [ ~( product1( X, Y, Z ) ), ~( product1( T, Y, Z ) ), equalish( X, T ) ]
% 1.01/1.38 ,
% 1.01/1.38 [ product1( X, X, X ) ],
% 1.01/1.38 [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ), product2( X, Y,
% 1.01/1.38 'e_1' ), product2( X, Y, 'e_2' ), product2( X, Y, 'e_3' ), product2( X, Y
% 1.01/1.38 , 'e_4' ) ],
% 1.01/1.38 [ ~( product2( X, Y, Z ) ), ~( product2( X, Y, T ) ), equalish( Z, T ) ]
% 1.01/1.38 ,
% 1.01/1.38 [ ~( product2( X, Y, Z ) ), ~( product2( X, T, Z ) ), equalish( Y, T ) ]
% 1.01/1.38 ,
% 1.01/1.38 [ ~( product2( X, Y, Z ) ), ~( product2( T, Y, Z ) ), equalish( X, T ) ]
% 1.01/1.38 ,
% 1.01/1.38 [ product2( X, X, X ) ],
% 1.01/1.38 [ ~( product1( X, Y, Z ) ), ~( product1( Z, X, T ) ), product2( T, Y, X
% 1.01/1.38 ) ]
% 1.01/1.38 ] .
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 percentage equality = 0.000000, percentage horn = 0.862069
% 1.01/1.38 This a non-horn, non-equality problem
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 Options Used:
% 1.01/1.38
% 1.01/1.38 useres = 1
% 1.01/1.38 useparamod = 0
% 1.01/1.38 useeqrefl = 0
% 1.01/1.38 useeqfact = 0
% 1.01/1.38 usefactor = 1
% 1.01/1.38 usesimpsplitting = 0
% 1.01/1.38 usesimpdemod = 0
% 1.01/1.38 usesimpres = 3
% 1.01/1.38
% 1.01/1.38 resimpinuse = 1000
% 1.01/1.38 resimpclauses = 20000
% 1.01/1.38 substype = standard
% 1.01/1.38 backwardsubs = 1
% 1.01/1.38 selectoldest = 5
% 1.01/1.38
% 1.01/1.38 litorderings [0] = split
% 1.01/1.38 litorderings [1] = liftord
% 1.01/1.38
% 1.01/1.38 termordering = none
% 1.01/1.38
% 1.01/1.38 litapriori = 1
% 1.01/1.38 termapriori = 0
% 1.01/1.38 litaposteriori = 0
% 1.01/1.38 termaposteriori = 0
% 1.01/1.38 demodaposteriori = 0
% 1.01/1.38 ordereqreflfact = 0
% 1.01/1.38
% 1.01/1.38 litselect = none
% 1.01/1.38
% 1.01/1.38 maxweight = 15
% 1.01/1.38 maxdepth = 30000
% 1.01/1.38 maxlength = 115
% 1.01/1.38 maxnrvars = 195
% 1.01/1.38 excuselevel = 1
% 1.01/1.38 increasemaxweight = 1
% 1.01/1.38
% 1.01/1.38 maxselected = 10000000
% 1.01/1.38 maxnrclauses = 10000000
% 1.01/1.38
% 1.01/1.38 showgenerated = 0
% 1.01/1.38 showkept = 0
% 1.01/1.38 showselected = 0
% 1.01/1.38 showdeleted = 0
% 1.01/1.38 showresimp = 1
% 1.01/1.38 showstatus = 2000
% 1.01/1.38
% 1.01/1.38 prologoutput = 1
% 1.01/1.38 nrgoals = 5000000
% 1.01/1.38 totalproof = 1
% 1.01/1.38
% 1.01/1.38 Symbols occurring in the translation:
% 1.01/1.38
% 1.01/1.38 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.01/1.38 . [1, 2] (w:1, o:25, a:1, s:1, b:0),
% 1.01/1.38 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 1.01/1.38 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.01/1.38 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.01/1.38 'group_element' [40, 1] (w:1, o:24, a:1, s:1, b:0),
% 1.01/1.38 'e_1' [42, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.01/1.38 product [43, 3] (w:1, o:51, a:1, s:1, b:0),
% 1.01/1.38 'e_2' [44, 0] (w:1, o:13, a:1, s:1, b:0),
% 1.01/1.38 'e_3' [45, 0] (w:1, o:14, a:1, s:1, b:0),
% 1.01/1.38 'e_4' [46, 0] (w:1, o:15, a:1, s:1, b:0),
% 1.01/1.38 equalish [47, 2] (w:1, o:50, a:1, s:1, b:0),
% 1.01/1.38 product1 [48, 3] (w:1, o:52, a:1, s:1, b:0),
% 1.01/1.38 product2 [51, 3] (w:1, o:53, a:1, s:1, b:0).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 Starting Search:
% 1.01/1.38
% 1.01/1.38 Resimplifying inuse:
% 1.01/1.38 Done
% 1.01/1.38
% 1.01/1.38 Failed to find proof!
% 1.01/1.38 maxweight = 15
% 1.01/1.38 maxnrclauses = 10000000
% 1.01/1.38 Generated: 352
% 1.01/1.38 Kept: 76
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 The strategy used was not complete!
% 1.01/1.38
% 1.01/1.38 Increased maxweight to 16
% 1.01/1.38
% 1.01/1.38 Starting Search:
% 1.01/1.38
% 1.01/1.38 Resimplifying inuse:
% 1.01/1.38 Done
% 1.01/1.38
% 1.01/1.38 Failed to find proof!
% 1.01/1.38 maxweight = 16
% 1.01/1.38 maxnrclauses = 10000000
% 1.01/1.38 Generated: 352
% 1.01/1.38 Kept: 76
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 The strategy used was not complete!
% 1.01/1.38
% 1.01/1.38 Increased maxweight to 17
% 1.01/1.38
% 1.01/1.38 Starting Search:
% 1.01/1.38
% 1.01/1.38 Resimplifying inuse:
% 1.01/1.38 Done
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 Bliksems!, er is een bewijs:
% 1.01/1.38 % SZS status Unsatisfiable
% 1.01/1.38 % SZS output start Refutation
% 1.01/1.38
% 1.01/1.38 clause( 2, [ 'group_element'( 'e_1' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 3, [ 'group_element'( 'e_2' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 4, [ 'group_element'( 'e_3' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 5, [ 'group_element'( 'e_4' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 6, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 7, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 8, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 9, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 10, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 11, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 12, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 13, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 14, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 15, [ ~( equalish( 'e_4', 'e_1' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 16, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 17, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 18, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 1.01/1.38 product1( X, Y, 'e_1' ), product1( X, Y, 'e_2' ), product1( X, Y, 'e_3' )
% 1.01/1.38 , product1( X, Y, 'e_4' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 19, [ equalish( Z, T ), ~( product1( X, Y, Z ) ), ~( product1( X, Y
% 1.01/1.38 , T ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 20, [ equalish( Y, T ), ~( product1( X, Y, Z ) ), ~( product1( X, T
% 1.01/1.38 , Z ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 21, [ equalish( X, T ), ~( product1( X, Y, Z ) ), ~( product1( T, Y
% 1.01/1.38 , Z ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 22, [ product1( X, X, X ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 24, [ equalish( Z, T ), ~( product2( X, Y, Z ) ), ~( product2( X, Y
% 1.01/1.38 , T ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 25, [ equalish( Y, T ), ~( product2( X, Y, Z ) ), ~( product2( X, T
% 1.01/1.38 , Z ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 27, [ product2( X, X, X ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 28, [ ~( product1( X, Y, Z ) ), ~( product1( Z, X, T ) ), product2(
% 1.01/1.38 T, Y, X ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 47, [ equalish( X, Y ), ~( product1( X, Y, X ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 48, [ equalish( X, Y ), ~( product1( Y, X, Y ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 49, [ ~( 'group_element'( X ) ), equalish( 'e_4', X ), product1(
% 1.01/1.38 'e_4', X, 'e_1' ), product1( 'e_4', X, 'e_2' ), product1( 'e_4', X, 'e_3'
% 1.01/1.38 ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 50, [ ~( 'group_element'( X ) ), equalish( X, 'e_4' ), product1(
% 1.01/1.38 'e_4', X, 'e_1' ), product1( 'e_4', X, 'e_2' ), product1( 'e_4', X, 'e_3'
% 1.01/1.38 ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 56, [ equalish( X, Y ), ~( product1( Y, X, X ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 57, [ equalish( X, Y ), ~( product1( X, Y, Y ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 58, [ ~( 'group_element'( X ) ), equalish( 'e_4', X ), product1( X
% 1.01/1.38 , 'e_4', 'e_1' ), product1( X, 'e_4', 'e_2' ), product1( X, 'e_4', 'e_3'
% 1.01/1.38 ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 59, [ ~( 'group_element'( X ) ), equalish( X, 'e_4' ), product1( X
% 1.01/1.38 , 'e_4', 'e_1' ), product1( X, 'e_4', 'e_2' ), product1( X, 'e_4', 'e_3'
% 1.01/1.38 ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 66, [ equalish( X, Y ), ~( product2( X, Y, X ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 72, [ equalish( X, Y ), ~( product2( X, X, Y ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 73, [ equalish( X, Y ), ~( product2( Y, Y, X ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 77, [ equalish( X, Y ), ~( product1( X, Y, Z ) ), ~( product1( Z, X
% 1.01/1.38 , X ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 84, [ equalish( X, Y ), ~( product1( Z, Y, X ) ), ~( product1( Y, X
% 1.01/1.38 , Z ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 86, [ equalish( X, Y ), ~( product1( Z, X, Y ) ), ~( product1( X, Y
% 1.01/1.38 , Z ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 115, [ ~( 'group_element'( X ) ), equalish( 'e_4', X ), product1(
% 1.01/1.38 'e_4', X, 'e_1' ), ~( product1( 'e_3', 'e_4', X ) ), product1( 'e_4', X,
% 1.01/1.38 'e_2' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 116, [ equalish( 'e_4', 'e_3' ), product1( 'e_4', 'e_3', 'e_1' ),
% 1.01/1.38 product1( 'e_4', 'e_3', 'e_2' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 117, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3',
% 1.01/1.38 'e_2' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 119, [ product1( 'e_4', 'e_3', 'e_1' ), ~( product1( 'e_2', 'e_4',
% 1.01/1.38 'e_4' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 126, [ equalish( 'e_2', X ), ~( product1( 'e_4', 'e_3', X ) ),
% 1.01/1.38 product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 127, [ equalish( X, 'e_2' ), ~( product1( 'e_4', 'e_3', X ) ),
% 1.01/1.38 product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 129, [ ~( 'group_element'( X ) ), equalish( X, 'e_4' ), product1(
% 1.01/1.38 'e_4', X, 'e_1' ), ~( product1( 'e_3', 'e_4', X ) ), product1( 'e_4', X,
% 1.01/1.38 'e_2' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 133, [ equalish( 'e_2', X ), ~( product1( 'e_1', 'e_4', 'e_4' ) ),
% 1.01/1.38 ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 135, [ equalish( 'e_2', X ), ~( product1( 'e_1', 'e_4', 'e_3' ) ),
% 1.01/1.38 ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 139, [ equalish( 'e_2', X ), equalish( Y, 'e_3' ), ~( product1(
% 1.01/1.38 'e_4', Y, 'e_1' ) ), ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 149, [ ~( 'group_element'( X ) ), equalish( 'e_4', X ), product1( X
% 1.01/1.38 , 'e_4', 'e_1' ), ~( product1( 'e_4', 'e_3', X ) ), product1( X, 'e_4',
% 1.01/1.38 'e_2' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 152, [ equalish( X, 'e_2' ), ~( product1( 'e_1', 'e_4', 'e_3' ) ),
% 1.01/1.38 ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 154, [ equalish( X, 'e_2' ), ~( product1( 'e_1', 'e_4', 'e_4' ) ),
% 1.01/1.38 ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 159, [ equalish( X, 'e_2' ), equalish( Y, 'e_3' ), ~( product1(
% 1.01/1.38 'e_4', Y, 'e_1' ) ), ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 160, [ equalish( X, 'e_2' ), equalish( 'e_1', Y ), ~( product1(
% 1.01/1.38 'e_4', 'e_3', Y ) ), ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 168, [ equalish( 'e_3', 'e_4' ), product1( 'e_3', 'e_4', 'e_1' ),
% 1.01/1.38 product1( 'e_3', 'e_4', 'e_2' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 169, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4',
% 1.01/1.38 'e_2' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 180, [ equalish( 'e_2', X ), ~( product1( 'e_3', 'e_4', X ) ),
% 1.01/1.38 product1( 'e_3', 'e_4', 'e_1' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 181, [ equalish( X, 'e_2' ), ~( product1( 'e_3', 'e_4', X ) ),
% 1.01/1.38 product1( 'e_3', 'e_4', 'e_1' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 189, [ equalish( 'e_2', X ), equalish( 'e_3', Y ), ~( product1( Y,
% 1.01/1.38 'e_4', 'e_1' ) ), ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 204, [ equalish( X, 'e_2' ), equalish( 'e_3', Y ), ~( product1( Y,
% 1.01/1.38 'e_4', 'e_1' ) ), ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 209, [ equalish( X, 'e_2' ), equalish( Y, 'e_1' ), ~( product1(
% 1.01/1.38 'e_3', 'e_4', Y ) ), ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 297, [ equalish( 'e_4', 'e_2' ), product1( 'e_4', 'e_2', 'e_1' ),
% 1.01/1.38 ~( product1( 'e_3', 'e_4', 'e_2' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 298, [ product1( 'e_4', 'e_2', 'e_1' ), ~( product1( 'e_3', 'e_4',
% 1.01/1.38 'e_2' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 299, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_3', 'e_4',
% 1.01/1.38 'e_1' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 300, [ equalish( 'e_4', 'e_1' ), product1( 'e_4', 'e_1', 'e_1' ),
% 1.01/1.38 product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_1', 'e_2' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 306, [ equalish( X, 'e_3' ), product1( 'e_4', 'e_2', 'e_1' ), ~(
% 1.01/1.38 product1( X, 'e_4', 'e_1' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 309, [ equalish( 'e_1', X ), ~( product1( 'e_3', 'e_4', X ) ),
% 1.01/1.38 product1( 'e_4', 'e_2', 'e_1' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 310, [ equalish( X, 'e_1' ), ~( product1( 'e_3', 'e_4', X ) ),
% 1.01/1.38 product1( 'e_4', 'e_2', 'e_1' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 313, [ ~( 'group_element'( X ) ), equalish( X, 'e_4' ), ~( product1(
% 1.01/1.38 'e_2', 'e_4', X ) ), ~( product1( 'e_3', 'e_4', X ) ), product1( 'e_4', X
% 1.01/1.38 , 'e_1' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 351, [ equalish( 'e_1', X ), ~( product1( 'e_1', 'e_4', 'e_2' ) ),
% 1.01/1.38 ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 355, [ equalish( 'e_1', X ), equalish( Y, 'e_2' ), ~( product1(
% 1.01/1.38 'e_4', Y, 'e_1' ) ), ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 359, [ ~( product1( 'e_4', 'e_1', 'e_1' ) ), ~( product1( 'e_3',
% 1.01/1.38 'e_4', 'e_2' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 361, [ ~( product1( 'e_4', 'e_1', 'e_1' ) ), product1( 'e_3', 'e_4'
% 1.01/1.38 , 'e_1' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 367, [ equalish( X, 'e_3' ), ~( product1( 'e_4', 'e_1', 'e_1' ) ),
% 1.01/1.38 ~( product1( X, 'e_4', 'e_1' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 382, [ product1( 'e_3', 'e_4', 'e_1' ), ~( product1( 'e_1', 'e_4',
% 1.01/1.38 'e_2' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 388, [ equalish( 'e_4', 'e_2' ), product1( 'e_2', 'e_4', 'e_1' ),
% 1.01/1.38 ~( product1( 'e_4', 'e_3', 'e_2' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 391, [ equalish( X, 'e_1' ), equalish( 'e_2', Y ), ~( product1(
% 1.01/1.38 'e_4', 'e_3', Y ) ), ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 403, [ ~( product1( 'e_4', 'e_3', 'e_1' ) ), ~( product1( 'e_3',
% 1.01/1.38 'e_4', 'e_2' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 405, [ ~( product1( 'e_4', 'e_3', 'e_1' ) ), product1( 'e_3', 'e_4'
% 1.01/1.38 , 'e_1' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 406, [ equalish( 'e_1', 'e_4' ), product1( 'e_4', 'e_1', 'e_1' ),
% 1.01/1.38 ~( product1( 'e_4', 'e_3', 'e_1' ) ), product1( 'e_4', 'e_1', 'e_2' ) ]
% 1.01/1.38 )
% 1.01/1.38 .
% 1.01/1.38 clause( 416, [ equalish( 'e_1', X ), ~( product1( 'e_3', 'e_4', X ) ), ~(
% 1.01/1.38 product1( 'e_4', 'e_3', 'e_1' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 417, [ equalish( X, 'e_1' ), ~( product1( 'e_3', 'e_4', X ) ), ~(
% 1.01/1.38 product1( 'e_4', 'e_3', 'e_1' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 421, [ equalish( X, 'e_1' ), equalish( Y, 'e_2' ), ~( product1(
% 1.01/1.38 'e_4', 'e_3', Y ) ), ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 422, [ product1( 'e_2', 'e_4', 'e_1' ), ~( product1( 'e_4', 'e_3',
% 1.01/1.38 'e_2' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 423, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_2', 'e_4',
% 1.01/1.38 'e_1' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 424, [ ~( product1( 'e_4', 'e_1', 'e_1' ) ), product1( 'e_4', 'e_3'
% 1.01/1.38 , 'e_1' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 425, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_3',
% 1.01/1.38 'e_1' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 429, [ product1( 'e_4', 'e_3', 'e_1' ), ~( product1( 'e_1', 'e_2',
% 1.01/1.38 'e_4' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 432, [ equalish( 'e_4', X ), ~( product1( 'e_2', X, 'e_1' ) ),
% 1.01/1.38 product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 434, [ equalish( 'e_1', X ), ~( product1( 'e_2', 'e_4', X ) ),
% 1.01/1.38 product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 435, [ equalish( X, 'e_1' ), ~( product1( 'e_2', 'e_4', X ) ),
% 1.01/1.38 product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 441, [ equalish( X, 'e_3' ), ~( product1( 'e_4', X, 'e_1' ) ), ~(
% 1.01/1.38 product1( 'e_4', 'e_1', 'e_1' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 446, [ ~( product1( 'e_4', 'e_1', 'e_1' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 447, [ equalish( 'e_1', X ), ~( product1( 'e_4', 'e_3', X ) ),
% 1.01/1.38 product1( 'e_4', 'e_2', 'e_1' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 448, [ equalish( X, 'e_3' ), ~( product1( 'e_4', X, 'e_1' ) ),
% 1.01/1.38 product1( 'e_4', 'e_2', 'e_1' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 462, [ equalish( 'e_1', X ), ~( product1( 'e_1', 'e_4', 'e_4' ) ),
% 1.01/1.38 ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 463, [ equalish( 'e_1', X ), ~( product1( 'e_2', 'e_1', 'e_4' ) ),
% 1.01/1.38 ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 479, [ product1( 'e_4', 'e_3', 'e_1' ), ~( product1( 'e_1', 'e_4',
% 1.01/1.38 'e_4' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 483, [ product1( 'e_4', 'e_3', 'e_1' ), ~( product1( 'e_2', 'e_1',
% 1.01/1.38 'e_4' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 494, [ equalish( X, 'e_3' ), equalish( 'e_2', Y ), ~( product1(
% 1.01/1.38 'e_4', Y, 'e_1' ) ), ~( product1( 'e_4', X, 'e_1' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 499, [ ~( product1( 'e_4', 'e_2', 'e_1' ) ), ~( product1( 'e_4',
% 1.01/1.38 'e_3', 'e_1' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 502, [ equalish( 'e_2', X ), ~( product1( 'e_4', 'e_3', X ) ), ~(
% 1.01/1.38 product1( 'e_4', 'e_2', 'e_1' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 515, [ equalish( 'e_2', X ), product1( 'e_4', 'e_3', 'e_1' ), ~(
% 1.01/1.38 product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 516, [ equalish( 'e_2', X ), ~( product1( 'e_4', 'e_2', 'e_1' ) ),
% 1.01/1.38 ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 523, [ equalish( X, 'e_2' ), ~( product1( 'e_3', 'e_4', X ) ),
% 1.01/1.38 product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 527, [ equalish( 'e_2', X ), ~( product1( 'e_1', 'e_4', 'e_3' ) ),
% 1.01/1.38 ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 532, [ equalish( X, 'e_2' ), ~( product1( 'e_3', 'e_4', X ) ), ~(
% 1.01/1.38 product1( 'e_4', 'e_2', 'e_1' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 535, [ equalish( X, 'e_2' ), equalish( 'e_1', Y ), ~( product1(
% 1.01/1.38 'e_4', 'e_3', Y ) ), ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 540, [ equalish( X, 'e_2' ), ~( product1( 'e_1', 'e_4', 'e_4' ) ),
% 1.01/1.38 ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 542, [ equalish( X, 'e_2' ), ~( product1( 'e_1', 'e_4', 'e_3' ) ),
% 1.01/1.38 ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 545, [ ~( product1( 'e_4', 'e_3', 'e_1' ) ), ~( product1( 'e_1',
% 1.01/1.38 'e_4', 'e_4' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 546, [ ~( product1( 'e_1', 'e_4', 'e_4' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 547, [ ~( 'group_element'( 'e_4' ) ), product1( 'e_1', 'e_4', 'e_1'
% 1.01/1.38 ), product1( 'e_1', 'e_4', 'e_2' ), product1( 'e_1', 'e_4', 'e_3' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 549, [ ~( product1( 'e_4', 'e_3', 'e_1' ) ), ~( product1( 'e_1',
% 1.01/1.38 'e_4', 'e_3' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 604, [ equalish( 'e_1', X ), equalish( Y, 'e_1' ), ~( product1(
% 1.01/1.38 'e_3', 'e_4', Y ) ), ~( product1( 'e_2', 'e_4', X ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 605, [ equalish( 'e_1', X ), equalish( 'e_1', Y ), ~( product1(
% 1.01/1.38 'e_3', 'e_4', Y ) ), ~( product1( 'e_2', 'e_4', X ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 612, [ equalish( 'e_1', X ), ~( product1( 'e_2', 'e_4', X ) ), ~(
% 1.01/1.38 product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 621, [ product1( 'e_3', 'e_4', 'e_1' ), ~( product1( 'e_2', 'e_4',
% 1.01/1.38 'e_2' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 638, [ equalish( X, 'e_1' ), ~( product1( 'e_1', 'e_4', 'e_3' ) ),
% 1.01/1.38 ~( product1( 'e_2', 'e_4', X ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 670, [ equalish( 'e_1', X ), product1( 'e_3', 'e_4', 'e_1' ), ~(
% 1.01/1.38 product1( 'e_2', 'e_4', X ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 732, [ equalish( X, 'e_2' ), product1( 'e_3', 'e_4', 'e_1' ), ~(
% 1.01/1.38 product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 791, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_1',
% 1.01/1.38 'e_2' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 800, [ equalish( 'e_2', X ), ~( product1( 'e_4', 'e_1', X ) ),
% 1.01/1.38 product1( 'e_4', 'e_2', 'e_1' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 819, [ equalish( 'e_2', X ), ~( product1( 'e_1', 'e_4', 'e_2' ) ),
% 1.01/1.38 ~( product1( 'e_4', 'e_1', X ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 826, [ equalish( 'e_1', 'e_4' ), ~( product1( 'e_2', 'e_4', 'e_1' )
% 1.01/1.38 ), ~( product1( 'e_3', 'e_4', 'e_1' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 832, [ ~( 'group_element'( 'e_1' ) ), equalish( 'e_1', 'e_4' ),
% 1.01/1.38 product1( 'e_4', 'e_1', 'e_1' ), product1( 'e_4', 'e_1', 'e_2' ), ~(
% 1.01/1.38 product1( 'e_1', 'e_4', 'e_2' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 864, [ ~( product1( 'e_2', 'e_4', 'e_1' ) ), ~( product1( 'e_3',
% 1.01/1.38 'e_4', 'e_1' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 872, [ equalish( X, 'e_2' ), ~( product1( 'e_4', 'e_3', X ) ), ~(
% 1.01/1.38 product1( 'e_2', 'e_4', 'e_1' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 902, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4',
% 1.01/1.38 'e_2' ), product1( 'e_1', 'e_4', 'e_3' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 909, [ product1( 'e_1', 'e_4', 'e_1' ), equalish( X, 'e_1' ), ~(
% 1.01/1.38 product1( 'e_2', 'e_4', X ) ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 913, [ product1( 'e_1', 'e_4', 'e_1' ), equalish( 'e_2', X ), ~(
% 1.01/1.38 product1( 'e_3', 'e_4', X ) ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 914, [ product1( 'e_1', 'e_4', 'e_1' ), ~( product1( 'e_4', 'e_3',
% 1.01/1.38 'e_1' ) ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 923, [ product1( 'e_1', 'e_4', 'e_1' ), equalish( 'e_4', X ),
% 1.01/1.38 product1( 'e_1', 'e_4', 'e_2' ), ~( product1( 'e_1', X, 'e_3' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 925, [ product1( 'e_1', 'e_4', 'e_1' ), equalish( 'e_3', X ), ~(
% 1.01/1.38 product1( 'e_1', 'e_4', X ) ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 928, [ equalish( 'e_1', 'e_4' ), ~( product1( 'e_2', 'e_1', 'e_1' )
% 1.01/1.38 ), ~( product1( 'e_4', 'e_3', 'e_1' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 930, [ equalish( 'e_4', 'e_1' ), ~( product1( 'e_4', 'e_3', 'e_1' )
% 1.01/1.38 ), ~( product1( 'e_2', 'e_1', 'e_4' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 938, [ ~( product1( 'e_2', 'e_1', 'e_1' ) ), ~( product1( 'e_4',
% 1.01/1.38 'e_3', 'e_1' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 948, [ equalish( 'e_4', X ), ~( product1( 'e_2', X, 'e_1' ) ), ~(
% 1.01/1.38 product1( 'e_2', 'e_1', 'e_1' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 954, [ ~( product1( 'e_2', 'e_1', 'e_1' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 963, [ ~( product1( 'e_2', 'e_1', 'e_4' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 964, [ ~( 'group_element'( 'e_1' ) ), product1( 'e_2', 'e_1', 'e_1'
% 1.01/1.38 ), product1( 'e_2', 'e_1', 'e_2' ), product1( 'e_2', 'e_1', 'e_3' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 971, [ ~( product1( 'e_4', 'e_3', 'e_1' ) ), product1( 'e_4', 'e_1'
% 1.01/1.38 , 'e_2' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 973, [ equalish( 'e_4', 'e_1' ), ~( product1( 'e_2', 'e_4', 'e_4' )
% 1.01/1.38 ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 975, [ equalish( 'e_2', 'e_1' ), ~( product1( 'e_1', 'e_2', 'e_4' )
% 1.01/1.38 ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 981, [ ~( product1( 'e_2', 'e_4', 'e_4' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 982, [ ~( 'group_element'( 'e_4' ) ), product1( 'e_2', 'e_4', 'e_1'
% 1.01/1.38 ), product1( 'e_2', 'e_4', 'e_2' ), product1( 'e_2', 'e_4', 'e_3' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 983, [ ~( product1( 'e_1', 'e_2', 'e_4' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 984, [ ~( 'group_element'( 'e_2' ) ), product1( 'e_1', 'e_2', 'e_1'
% 1.01/1.38 ), product1( 'e_1', 'e_2', 'e_2' ), product1( 'e_1', 'e_2', 'e_3' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 985, [ product1( 'e_1', 'e_2', 'e_1' ), product1( 'e_1', 'e_2',
% 1.01/1.38 'e_2' ), product1( 'e_1', 'e_2', 'e_3' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 1050, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 1.01/1.38 'e_2' ), product1( 'e_2', 'e_4', 'e_3' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 1062, [ equalish( 'e_1', 'e_3' ), product1( 'e_2', 'e_4', 'e_1' ),
% 1.01/1.38 product1( 'e_3', 'e_4', 'e_1' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 1085, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_3', 'e_4',
% 1.01/1.38 'e_1' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 1096, [ equalish( X, 'e_1' ), ~( product1( 'e_3', 'e_4', X ) ),
% 1.01/1.38 product1( 'e_2', 'e_4', 'e_1' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 1102, [ product1( 'e_2', 'e_4', 'e_1' ), ~( product1( 'e_1', 'e_4'
% 1.01/1.38 , 'e_3' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 1110, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 1.01/1.38 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 1180, [ equalish( X, 'e_1' ), equalish( 'e_2', Y ), ~( product1( Y
% 1.01/1.38 , 'e_4', 'e_1' ) ), ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 1182, [ ~( product1( 'e_1', 'e_4', 'e_1' ) ), ~( product1( 'e_3',
% 1.01/1.38 'e_4', 'e_2' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 1185, [ ~( product1( 'e_1', 'e_4', 'e_1' ) ), product1( 'e_3',
% 1.01/1.38 'e_4', 'e_1' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 1204, [ equalish( 'e_3', X ), ~( product1( X, 'e_4', 'e_1' ) ), ~(
% 1.01/1.38 product1( 'e_1', 'e_4', 'e_1' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 1209, [ ~( product1( 'e_1', 'e_4', 'e_1' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 1254, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_1', 'e_4',
% 1.01/1.38 'e_2' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 1261, [ equalish( 'e_2', X ), ~( product1( 'e_1', 'e_4', X ) ),
% 1.01/1.38 product1( 'e_2', 'e_4', 'e_1' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 1282, [ equalish( 'e_2', X ), ~( product1( 'e_1', 'e_2', 'e_2' ) )
% 1.01/1.38 , ~( product1( 'e_1', 'e_4', X ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 1294, [ product1( 'e_1', 'e_4', 'e_1' ), ~( product1( 'e_1', 'e_2'
% 1.01/1.38 , 'e_2' ) ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 1353, [ ~( product1( 'e_1', 'e_2', 'e_2' ) ), product1( 'e_1',
% 1.01/1.38 'e_4', 'e_2' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 1366, [ product1( 'e_4', 'e_1', 'e_2' ), ~( product1( 'e_1', 'e_4'
% 1.01/1.38 , 'e_2' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 1482, [ equalish( X, 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ), ~(
% 1.01/1.38 product1( 'e_2', 'e_4', X ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 1485, [ equalish( X, 'e_1' ), equalish( Y, 'e_1' ), ~( product1( Y
% 1.01/1.38 , 'e_4', 'e_2' ) ), ~( product1( 'e_2', 'e_4', X ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 1489, [ ~( product1( 'e_2', 'e_4', 'e_2' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 1535, [ equalish( 'e_2', X ), product1( 'e_1', 'e_4', 'e_2' ), ~(
% 1.01/1.38 product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 1536, [ equalish( 'e_2', X ), product1( 'e_4', 'e_1', 'e_2' ), ~(
% 1.01/1.38 product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 1559, [ equalish( X, 'e_2' ), ~( product1( 'e_4', 'e_3', X ) ),
% 1.01/1.38 product1( 'e_4', 'e_1', 'e_2' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 1602, [ equalish( 'e_4', X ), product1( 'e_1', 'e_4', 'e_2' ), ~(
% 1.01/1.38 product1( 'e_1', X, 'e_3' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 1603, [ product1( 'e_1', 'e_2', 'e_1' ), product1( 'e_1', 'e_2',
% 1.01/1.38 'e_2' ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 1605, [ equalish( 'e_3', X ), product1( 'e_1', 'e_4', 'e_2' ), ~(
% 1.01/1.38 product1( 'e_1', 'e_4', X ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 1615, [ equalish( 'e_3', X ), product1( 'e_3', 'e_4', 'e_1' ), ~(
% 1.01/1.38 product1( 'e_1', 'e_4', X ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 1703, [ product1( 'e_1', 'e_2', 'e_1' ), product1( 'e_1', 'e_4',
% 1.01/1.38 'e_2' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 1705, [ product1( 'e_1', 'e_2', 'e_1' ), product1( 'e_3', 'e_4',
% 1.01/1.38 'e_1' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 1761, [ equalish( 'e_1', 'e_2' ), equalish( 'e_1', X ), ~( product1(
% 1.01/1.38 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 1800, [ ~( product1( 'e_4', 'e_3', 'e_2' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 1801, [ product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 1804, [ product1( 'e_4', 'e_1', 'e_2' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 1819, [ ~( product1( 'e_2', 'e_4', 'e_1' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 1840, [ equalish( X, 'e_4' ), ~( product1( X, 'e_1', 'e_2' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 1844, [ product1( 'e_2', 'e_1', 'e_2' ), product1( 'e_2', 'e_1',
% 1.01/1.38 'e_3' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 1877, [ equalish( 'e_1', X ), product1( 'e_2', 'e_1', 'e_2' ), ~(
% 1.01/1.38 product1( 'e_2', X, 'e_3' ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 1879, [ equalish( 'e_3', X ), ~( product1( 'e_2', 'e_1', X ) ),
% 1.01/1.38 product1( 'e_2', 'e_1', 'e_2' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 1880, [ equalish( X, 'e_3' ), ~( product1( 'e_2', 'e_1', X ) ),
% 1.01/1.38 product1( 'e_2', 'e_1', 'e_2' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 1883, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_1',
% 1.01/1.38 'e_2' ), product1( 'e_2', 'e_4', 'e_2' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 1884, [ equalish( 'e_3', X ), ~( product1( 'e_2', 'e_1', X ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 1885, [ equalish( X, 'e_3' ), ~( product1( 'e_2', 'e_1', X ) ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 1896, [ product1( 'e_2', 'e_1', 'e_2' ) ] )
% 1.01/1.38 .
% 1.01/1.38 clause( 1897, [] )
% 1.01/1.38 .
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 % SZS output end Refutation
% 1.01/1.38 found a proof!
% 1.01/1.38
% 1.01/1.38 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.01/1.38
% 1.01/1.38 initialclauses(
% 1.01/1.38 [ clause( 1899, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 1.01/1.38 product( 'e_1', X, Y ), product( 'e_2', X, Y ), product( 'e_3', X, Y ),
% 1.01/1.38 product( 'e_4', X, Y ) ] )
% 1.01/1.38 , clause( 1900, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 1.01/1.38 product( X, 'e_1', Y ), product( X, 'e_2', Y ), product( X, 'e_3', Y ),
% 1.01/1.38 product( X, 'e_4', Y ) ] )
% 1.01/1.38 , clause( 1901, [ 'group_element'( 'e_1' ) ] )
% 1.01/1.38 , clause( 1902, [ 'group_element'( 'e_2' ) ] )
% 1.01/1.38 , clause( 1903, [ 'group_element'( 'e_3' ) ] )
% 1.01/1.38 , clause( 1904, [ 'group_element'( 'e_4' ) ] )
% 1.01/1.38 , clause( 1905, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 1.01/1.38 , clause( 1906, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 1.01/1.38 , clause( 1907, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 1.01/1.38 , clause( 1908, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 1.01/1.38 , clause( 1909, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 1.01/1.38 , clause( 1910, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 1.01/1.38 , clause( 1911, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 1.01/1.38 , clause( 1912, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 1.01/1.38 , clause( 1913, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 1.01/1.38 , clause( 1914, [ ~( equalish( 'e_4', 'e_1' ) ) ] )
% 1.01/1.38 , clause( 1915, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 1.01/1.38 , clause( 1916, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 1.01/1.38 , clause( 1917, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 1.01/1.38 product1( X, Y, 'e_1' ), product1( X, Y, 'e_2' ), product1( X, Y, 'e_3' )
% 1.01/1.38 , product1( X, Y, 'e_4' ) ] )
% 1.01/1.38 , clause( 1918, [ ~( product1( X, Y, Z ) ), ~( product1( X, Y, T ) ),
% 1.01/1.38 equalish( Z, T ) ] )
% 1.01/1.38 , clause( 1919, [ ~( product1( X, Y, Z ) ), ~( product1( X, T, Z ) ),
% 1.01/1.38 equalish( Y, T ) ] )
% 1.01/1.38 , clause( 1920, [ ~( product1( X, Y, Z ) ), ~( product1( T, Y, Z ) ),
% 1.01/1.38 equalish( X, T ) ] )
% 1.01/1.38 , clause( 1921, [ product1( X, X, X ) ] )
% 1.01/1.38 , clause( 1922, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 1.01/1.38 product2( X, Y, 'e_1' ), product2( X, Y, 'e_2' ), product2( X, Y, 'e_3' )
% 1.01/1.38 , product2( X, Y, 'e_4' ) ] )
% 1.01/1.38 , clause( 1923, [ ~( product2( X, Y, Z ) ), ~( product2( X, Y, T ) ),
% 1.01/1.38 equalish( Z, T ) ] )
% 1.01/1.38 , clause( 1924, [ ~( product2( X, Y, Z ) ), ~( product2( X, T, Z ) ),
% 1.01/1.38 equalish( Y, T ) ] )
% 1.01/1.38 , clause( 1925, [ ~( product2( X, Y, Z ) ), ~( product2( T, Y, Z ) ),
% 1.01/1.38 equalish( X, T ) ] )
% 1.01/1.38 , clause( 1926, [ product2( X, X, X ) ] )
% 1.01/1.38 , clause( 1927, [ ~( product1( X, Y, Z ) ), ~( product1( Z, X, T ) ),
% 1.01/1.38 product2( T, Y, X ) ] )
% 1.01/1.38 ] ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 2, [ 'group_element'( 'e_1' ) ] )
% 1.01/1.38 , clause( 1901, [ 'group_element'( 'e_1' ) ] )
% 1.01/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 3, [ 'group_element'( 'e_2' ) ] )
% 1.01/1.38 , clause( 1902, [ 'group_element'( 'e_2' ) ] )
% 1.01/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 4, [ 'group_element'( 'e_3' ) ] )
% 1.01/1.38 , clause( 1903, [ 'group_element'( 'e_3' ) ] )
% 1.01/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 5, [ 'group_element'( 'e_4' ) ] )
% 1.01/1.38 , clause( 1904, [ 'group_element'( 'e_4' ) ] )
% 1.01/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 6, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 1.01/1.38 , clause( 1905, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 1.01/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 7, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 1.01/1.38 , clause( 1906, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 1.01/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 8, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 1.01/1.38 , clause( 1907, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 1.01/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 9, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 1.01/1.38 , clause( 1908, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 1.01/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 10, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 1.01/1.38 , clause( 1909, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 1.01/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 11, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 1.01/1.38 , clause( 1910, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 1.01/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 12, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 1.01/1.38 , clause( 1911, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 1.01/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 13, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 1.01/1.38 , clause( 1912, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 1.01/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 14, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 1.01/1.38 , clause( 1913, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 1.01/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 15, [ ~( equalish( 'e_4', 'e_1' ) ) ] )
% 1.01/1.38 , clause( 1914, [ ~( equalish( 'e_4', 'e_1' ) ) ] )
% 1.01/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 16, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 1.01/1.38 , clause( 1915, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 1.01/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 17, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 1.01/1.38 , clause( 1916, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 1.01/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 18, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 1.01/1.38 product1( X, Y, 'e_1' ), product1( X, Y, 'e_2' ), product1( X, Y, 'e_3' )
% 1.01/1.38 , product1( X, Y, 'e_4' ) ] )
% 1.01/1.38 , clause( 1917, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 1.01/1.38 product1( X, Y, 'e_1' ), product1( X, Y, 'e_2' ), product1( X, Y, 'e_3' )
% 1.01/1.38 , product1( X, Y, 'e_4' ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.01/1.38 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 ), ==>( 5, 5 )] )
% 1.01/1.38 ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 19, [ equalish( Z, T ), ~( product1( X, Y, Z ) ), ~( product1( X, Y
% 1.01/1.38 , T ) ) ] )
% 1.01/1.38 , clause( 1918, [ ~( product1( X, Y, Z ) ), ~( product1( X, Y, T ) ),
% 1.01/1.38 equalish( Z, T ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.01/1.38 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 20, [ equalish( Y, T ), ~( product1( X, Y, Z ) ), ~( product1( X, T
% 1.01/1.38 , Z ) ) ] )
% 1.01/1.38 , clause( 1919, [ ~( product1( X, Y, Z ) ), ~( product1( X, T, Z ) ),
% 1.01/1.38 equalish( Y, T ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.01/1.38 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 21, [ equalish( X, T ), ~( product1( X, Y, Z ) ), ~( product1( T, Y
% 1.01/1.38 , Z ) ) ] )
% 1.01/1.38 , clause( 1920, [ ~( product1( X, Y, Z ) ), ~( product1( T, Y, Z ) ),
% 1.01/1.38 equalish( X, T ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.01/1.38 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 22, [ product1( X, X, X ) ] )
% 1.01/1.38 , clause( 1921, [ product1( X, X, X ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 24, [ equalish( Z, T ), ~( product2( X, Y, Z ) ), ~( product2( X, Y
% 1.01/1.38 , T ) ) ] )
% 1.01/1.38 , clause( 1923, [ ~( product2( X, Y, Z ) ), ~( product2( X, Y, T ) ),
% 1.01/1.38 equalish( Z, T ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.01/1.38 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 25, [ equalish( Y, T ), ~( product2( X, Y, Z ) ), ~( product2( X, T
% 1.01/1.38 , Z ) ) ] )
% 1.01/1.38 , clause( 1924, [ ~( product2( X, Y, Z ) ), ~( product2( X, T, Z ) ),
% 1.01/1.38 equalish( Y, T ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.01/1.38 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 27, [ product2( X, X, X ) ] )
% 1.01/1.38 , clause( 1926, [ product2( X, X, X ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 28, [ ~( product1( X, Y, Z ) ), ~( product1( Z, X, T ) ), product2(
% 1.01/1.38 T, Y, X ) ] )
% 1.01/1.38 , clause( 1927, [ ~( product1( X, Y, Z ) ), ~( product1( Z, X, T ) ),
% 1.01/1.38 product2( T, Y, X ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.01/1.38 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2022, [ equalish( X, Y ), ~( product1( X, Y, X ) ) ] )
% 1.01/1.38 , clause( 20, [ equalish( Y, T ), ~( product1( X, Y, Z ) ), ~( product1( X
% 1.01/1.38 , T, Z ) ) ] )
% 1.01/1.38 , 1, clause( 22, [ product1( X, X, X ) ] )
% 1.01/1.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, X ), :=( T, Y )] ),
% 1.01/1.38 substitution( 1, [ :=( X, X )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 47, [ equalish( X, Y ), ~( product1( X, Y, X ) ) ] )
% 1.01/1.38 , clause( 2022, [ equalish( X, Y ), ~( product1( X, Y, X ) ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.01/1.38 ), ==>( 1, 1 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2025, [ equalish( X, Y ), ~( product1( Y, X, Y ) ) ] )
% 1.01/1.38 , clause( 20, [ equalish( Y, T ), ~( product1( X, Y, Z ) ), ~( product1( X
% 1.01/1.38 , T, Z ) ) ] )
% 1.01/1.38 , 2, clause( 22, [ product1( X, X, X ) ] )
% 1.01/1.38 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Y ), :=( T, Y )] ),
% 1.01/1.38 substitution( 1, [ :=( X, Y )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 48, [ equalish( X, Y ), ~( product1( Y, X, Y ) ) ] )
% 1.01/1.38 , clause( 2025, [ equalish( X, Y ), ~( product1( Y, X, Y ) ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.01/1.38 ), ==>( 1, 1 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2029, [ equalish( 'e_4', X ), ~( 'group_element'( 'e_4' ) ), ~(
% 1.01/1.38 'group_element'( X ) ), product1( 'e_4', X, 'e_1' ), product1( 'e_4', X,
% 1.01/1.38 'e_2' ), product1( 'e_4', X, 'e_3' ) ] )
% 1.01/1.38 , clause( 47, [ equalish( X, Y ), ~( product1( X, Y, X ) ) ] )
% 1.01/1.38 , 1, clause( 18, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 1.01/1.38 product1( X, Y, 'e_1' ), product1( X, Y, 'e_2' ), product1( X, Y, 'e_3' )
% 1.01/1.38 , product1( X, Y, 'e_4' ) ] )
% 1.01/1.38 , 5, substitution( 0, [ :=( X, 'e_4' ), :=( Y, X )] ), substitution( 1, [
% 1.01/1.38 :=( X, 'e_4' ), :=( Y, X )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2035, [ equalish( 'e_4', X ), ~( 'group_element'( X ) ), product1(
% 1.01/1.38 'e_4', X, 'e_1' ), product1( 'e_4', X, 'e_2' ), product1( 'e_4', X, 'e_3'
% 1.01/1.38 ) ] )
% 1.01/1.38 , clause( 2029, [ equalish( 'e_4', X ), ~( 'group_element'( 'e_4' ) ), ~(
% 1.01/1.38 'group_element'( X ) ), product1( 'e_4', X, 'e_1' ), product1( 'e_4', X,
% 1.01/1.38 'e_2' ), product1( 'e_4', X, 'e_3' ) ] )
% 1.01/1.38 , 1, clause( 5, [ 'group_element'( 'e_4' ) ] )
% 1.01/1.38 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 49, [ ~( 'group_element'( X ) ), equalish( 'e_4', X ), product1(
% 1.01/1.38 'e_4', X, 'e_1' ), product1( 'e_4', X, 'e_2' ), product1( 'e_4', X, 'e_3'
% 1.01/1.38 ) ] )
% 1.01/1.38 , clause( 2035, [ equalish( 'e_4', X ), ~( 'group_element'( X ) ), product1(
% 1.01/1.38 'e_4', X, 'e_1' ), product1( 'e_4', X, 'e_2' ), product1( 'e_4', X, 'e_3'
% 1.01/1.38 ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 1.01/1.38 0 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2039, [ equalish( X, 'e_4' ), ~( 'group_element'( 'e_4' ) ), ~(
% 1.01/1.38 'group_element'( X ) ), product1( 'e_4', X, 'e_1' ), product1( 'e_4', X,
% 1.01/1.38 'e_2' ), product1( 'e_4', X, 'e_3' ) ] )
% 1.01/1.38 , clause( 48, [ equalish( X, Y ), ~( product1( Y, X, Y ) ) ] )
% 1.01/1.38 , 1, clause( 18, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 1.01/1.38 product1( X, Y, 'e_1' ), product1( X, Y, 'e_2' ), product1( X, Y, 'e_3' )
% 1.01/1.38 , product1( X, Y, 'e_4' ) ] )
% 1.01/1.38 , 5, substitution( 0, [ :=( X, X ), :=( Y, 'e_4' )] ), substitution( 1, [
% 1.01/1.38 :=( X, 'e_4' ), :=( Y, X )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2045, [ equalish( X, 'e_4' ), ~( 'group_element'( X ) ), product1(
% 1.01/1.38 'e_4', X, 'e_1' ), product1( 'e_4', X, 'e_2' ), product1( 'e_4', X, 'e_3'
% 1.01/1.38 ) ] )
% 1.01/1.38 , clause( 2039, [ equalish( X, 'e_4' ), ~( 'group_element'( 'e_4' ) ), ~(
% 1.01/1.38 'group_element'( X ) ), product1( 'e_4', X, 'e_1' ), product1( 'e_4', X,
% 1.01/1.38 'e_2' ), product1( 'e_4', X, 'e_3' ) ] )
% 1.01/1.38 , 1, clause( 5, [ 'group_element'( 'e_4' ) ] )
% 1.01/1.38 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 50, [ ~( 'group_element'( X ) ), equalish( X, 'e_4' ), product1(
% 1.01/1.38 'e_4', X, 'e_1' ), product1( 'e_4', X, 'e_2' ), product1( 'e_4', X, 'e_3'
% 1.01/1.38 ) ] )
% 1.01/1.38 , clause( 2045, [ equalish( X, 'e_4' ), ~( 'group_element'( X ) ), product1(
% 1.01/1.38 'e_4', X, 'e_1' ), product1( 'e_4', X, 'e_2' ), product1( 'e_4', X, 'e_3'
% 1.01/1.38 ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 1.01/1.38 0 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2046, [ equalish( X, Y ), ~( product1( Y, X, X ) ) ] )
% 1.01/1.38 , clause( 21, [ equalish( X, T ), ~( product1( X, Y, Z ) ), ~( product1( T
% 1.01/1.38 , Y, Z ) ) ] )
% 1.01/1.38 , 1, clause( 22, [ product1( X, X, X ) ] )
% 1.01/1.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, X ), :=( T, Y )] ),
% 1.01/1.38 substitution( 1, [ :=( X, X )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 56, [ equalish( X, Y ), ~( product1( Y, X, X ) ) ] )
% 1.01/1.38 , clause( 2046, [ equalish( X, Y ), ~( product1( Y, X, X ) ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.01/1.38 ), ==>( 1, 1 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2049, [ equalish( X, Y ), ~( product1( X, Y, Y ) ) ] )
% 1.01/1.38 , clause( 21, [ equalish( X, T ), ~( product1( X, Y, Z ) ), ~( product1( T
% 1.01/1.38 , Y, Z ) ) ] )
% 1.01/1.38 , 2, clause( 22, [ product1( X, X, X ) ] )
% 1.01/1.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, Y )] ),
% 1.01/1.38 substitution( 1, [ :=( X, Y )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 57, [ equalish( X, Y ), ~( product1( X, Y, Y ) ) ] )
% 1.01/1.38 , clause( 2049, [ equalish( X, Y ), ~( product1( X, Y, Y ) ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.01/1.38 ), ==>( 1, 1 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2053, [ equalish( 'e_4', X ), ~( 'group_element'( X ) ), ~(
% 1.01/1.38 'group_element'( 'e_4' ) ), product1( X, 'e_4', 'e_1' ), product1( X,
% 1.01/1.38 'e_4', 'e_2' ), product1( X, 'e_4', 'e_3' ) ] )
% 1.01/1.38 , clause( 56, [ equalish( X, Y ), ~( product1( Y, X, X ) ) ] )
% 1.01/1.38 , 1, clause( 18, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 1.01/1.38 product1( X, Y, 'e_1' ), product1( X, Y, 'e_2' ), product1( X, Y, 'e_3' )
% 1.01/1.38 , product1( X, Y, 'e_4' ) ] )
% 1.01/1.38 , 5, substitution( 0, [ :=( X, 'e_4' ), :=( Y, X )] ), substitution( 1, [
% 1.01/1.38 :=( X, X ), :=( Y, 'e_4' )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2059, [ equalish( 'e_4', X ), ~( 'group_element'( X ) ), product1(
% 1.01/1.38 X, 'e_4', 'e_1' ), product1( X, 'e_4', 'e_2' ), product1( X, 'e_4', 'e_3'
% 1.01/1.38 ) ] )
% 1.01/1.38 , clause( 2053, [ equalish( 'e_4', X ), ~( 'group_element'( X ) ), ~(
% 1.01/1.38 'group_element'( 'e_4' ) ), product1( X, 'e_4', 'e_1' ), product1( X,
% 1.01/1.38 'e_4', 'e_2' ), product1( X, 'e_4', 'e_3' ) ] )
% 1.01/1.38 , 2, clause( 5, [ 'group_element'( 'e_4' ) ] )
% 1.01/1.38 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 58, [ ~( 'group_element'( X ) ), equalish( 'e_4', X ), product1( X
% 1.01/1.38 , 'e_4', 'e_1' ), product1( X, 'e_4', 'e_2' ), product1( X, 'e_4', 'e_3'
% 1.01/1.38 ) ] )
% 1.01/1.38 , clause( 2059, [ equalish( 'e_4', X ), ~( 'group_element'( X ) ), product1(
% 1.01/1.38 X, 'e_4', 'e_1' ), product1( X, 'e_4', 'e_2' ), product1( X, 'e_4', 'e_3'
% 1.01/1.38 ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 1.01/1.38 0 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2063, [ equalish( X, 'e_4' ), ~( 'group_element'( X ) ), ~(
% 1.01/1.38 'group_element'( 'e_4' ) ), product1( X, 'e_4', 'e_1' ), product1( X,
% 1.01/1.38 'e_4', 'e_2' ), product1( X, 'e_4', 'e_3' ) ] )
% 1.01/1.38 , clause( 57, [ equalish( X, Y ), ~( product1( X, Y, Y ) ) ] )
% 1.01/1.38 , 1, clause( 18, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 1.01/1.38 product1( X, Y, 'e_1' ), product1( X, Y, 'e_2' ), product1( X, Y, 'e_3' )
% 1.01/1.38 , product1( X, Y, 'e_4' ) ] )
% 1.01/1.38 , 5, substitution( 0, [ :=( X, X ), :=( Y, 'e_4' )] ), substitution( 1, [
% 1.01/1.38 :=( X, X ), :=( Y, 'e_4' )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2069, [ equalish( X, 'e_4' ), ~( 'group_element'( X ) ), product1(
% 1.01/1.38 X, 'e_4', 'e_1' ), product1( X, 'e_4', 'e_2' ), product1( X, 'e_4', 'e_3'
% 1.01/1.38 ) ] )
% 1.01/1.38 , clause( 2063, [ equalish( X, 'e_4' ), ~( 'group_element'( X ) ), ~(
% 1.01/1.38 'group_element'( 'e_4' ) ), product1( X, 'e_4', 'e_1' ), product1( X,
% 1.01/1.38 'e_4', 'e_2' ), product1( X, 'e_4', 'e_3' ) ] )
% 1.01/1.38 , 2, clause( 5, [ 'group_element'( 'e_4' ) ] )
% 1.01/1.38 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 59, [ ~( 'group_element'( X ) ), equalish( X, 'e_4' ), product1( X
% 1.01/1.38 , 'e_4', 'e_1' ), product1( X, 'e_4', 'e_2' ), product1( X, 'e_4', 'e_3'
% 1.01/1.38 ) ] )
% 1.01/1.38 , clause( 2069, [ equalish( X, 'e_4' ), ~( 'group_element'( X ) ), product1(
% 1.01/1.38 X, 'e_4', 'e_1' ), product1( X, 'e_4', 'e_2' ), product1( X, 'e_4', 'e_3'
% 1.01/1.38 ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 1.01/1.38 0 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2070, [ equalish( X, Y ), ~( product2( X, Y, X ) ) ] )
% 1.01/1.38 , clause( 25, [ equalish( Y, T ), ~( product2( X, Y, Z ) ), ~( product2( X
% 1.01/1.38 , T, Z ) ) ] )
% 1.01/1.38 , 1, clause( 27, [ product2( X, X, X ) ] )
% 1.01/1.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, X ), :=( T, Y )] ),
% 1.01/1.38 substitution( 1, [ :=( X, X )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 66, [ equalish( X, Y ), ~( product2( X, Y, X ) ) ] )
% 1.01/1.38 , clause( 2070, [ equalish( X, Y ), ~( product2( X, Y, X ) ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.01/1.38 ), ==>( 1, 1 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2072, [ equalish( X, Y ), ~( product2( X, X, Y ) ) ] )
% 1.01/1.38 , clause( 24, [ equalish( Z, T ), ~( product2( X, Y, Z ) ), ~( product2( X
% 1.01/1.38 , Y, T ) ) ] )
% 1.01/1.38 , 1, clause( 27, [ product2( X, X, X ) ] )
% 1.01/1.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, X ), :=( T, Y )] ),
% 1.01/1.38 substitution( 1, [ :=( X, X )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 72, [ equalish( X, Y ), ~( product2( X, X, Y ) ) ] )
% 1.01/1.38 , clause( 2072, [ equalish( X, Y ), ~( product2( X, X, Y ) ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.01/1.38 ), ==>( 1, 1 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2075, [ equalish( X, Y ), ~( product2( Y, Y, X ) ) ] )
% 1.01/1.38 , clause( 24, [ equalish( Z, T ), ~( product2( X, Y, Z ) ), ~( product2( X
% 1.01/1.38 , Y, T ) ) ] )
% 1.01/1.38 , 2, clause( 27, [ product2( X, X, X ) ] )
% 1.01/1.38 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Y ), :=( Z, X ), :=( T, Y )] ),
% 1.01/1.38 substitution( 1, [ :=( X, Y )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 73, [ equalish( X, Y ), ~( product2( Y, Y, X ) ) ] )
% 1.01/1.38 , clause( 2075, [ equalish( X, Y ), ~( product2( Y, Y, X ) ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.01/1.38 ), ==>( 1, 1 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2076, [ equalish( X, Y ), ~( product1( X, Y, Z ) ), ~( product1( Z
% 1.01/1.38 , X, X ) ) ] )
% 1.01/1.38 , clause( 66, [ equalish( X, Y ), ~( product2( X, Y, X ) ) ] )
% 1.01/1.38 , 1, clause( 28, [ ~( product1( X, Y, Z ) ), ~( product1( Z, X, T ) ),
% 1.01/1.38 product2( T, Y, X ) ] )
% 1.01/1.38 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 1.01/1.38 , X ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 77, [ equalish( X, Y ), ~( product1( X, Y, Z ) ), ~( product1( Z, X
% 1.01/1.38 , X ) ) ] )
% 1.01/1.38 , clause( 2076, [ equalish( X, Y ), ~( product1( X, Y, Z ) ), ~( product1(
% 1.01/1.38 Z, X, X ) ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.01/1.38 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2078, [ equalish( X, Y ), ~( product1( Y, X, Z ) ), ~( product1( Z
% 1.01/1.38 , Y, X ) ) ] )
% 1.01/1.38 , clause( 72, [ equalish( X, Y ), ~( product2( X, X, Y ) ) ] )
% 1.01/1.38 , 1, clause( 28, [ ~( product1( X, Y, Z ) ), ~( product1( Z, X, T ) ),
% 1.01/1.38 product2( T, Y, X ) ] )
% 1.01/1.38 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 1.01/1.38 , Y ), :=( Y, X ), :=( Z, Z ), :=( T, X )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 84, [ equalish( X, Y ), ~( product1( Z, Y, X ) ), ~( product1( Y, X
% 1.01/1.38 , Z ) ) ] )
% 1.01/1.38 , clause( 2078, [ equalish( X, Y ), ~( product1( Y, X, Z ) ), ~( product1(
% 1.01/1.38 Z, Y, X ) ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.01/1.38 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2080, [ equalish( X, Y ), ~( product1( X, Y, Z ) ), ~( product1( Z
% 1.01/1.38 , X, Y ) ) ] )
% 1.01/1.38 , clause( 73, [ equalish( X, Y ), ~( product2( Y, Y, X ) ) ] )
% 1.01/1.38 , 1, clause( 28, [ ~( product1( X, Y, Z ) ), ~( product1( Z, X, T ) ),
% 1.01/1.38 product2( T, Y, X ) ] )
% 1.01/1.38 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 1.01/1.38 , X ), :=( Y, Y ), :=( Z, Z ), :=( T, Y )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 86, [ equalish( X, Y ), ~( product1( Z, X, Y ) ), ~( product1( X, Y
% 1.01/1.38 , Z ) ) ] )
% 1.01/1.38 , clause( 2080, [ equalish( X, Y ), ~( product1( X, Y, Z ) ), ~( product1(
% 1.01/1.38 Z, X, Y ) ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.01/1.38 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2087, [ equalish( 'e_4', X ), ~( product1( 'e_3', 'e_4', X ) ), ~(
% 1.01/1.38 'group_element'( X ) ), equalish( 'e_4', X ), product1( 'e_4', X, 'e_1' )
% 1.01/1.38 , product1( 'e_4', X, 'e_2' ) ] )
% 1.01/1.38 , clause( 86, [ equalish( X, Y ), ~( product1( Z, X, Y ) ), ~( product1( X
% 1.01/1.38 , Y, Z ) ) ] )
% 1.01/1.38 , 2, clause( 49, [ ~( 'group_element'( X ) ), equalish( 'e_4', X ),
% 1.01/1.38 product1( 'e_4', X, 'e_1' ), product1( 'e_4', X, 'e_2' ), product1( 'e_4'
% 1.01/1.38 , X, 'e_3' ) ] )
% 1.01/1.38 , 4, substitution( 0, [ :=( X, 'e_4' ), :=( Y, X ), :=( Z, 'e_3' )] ),
% 1.01/1.38 substitution( 1, [ :=( X, X )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 factor(
% 1.01/1.38 clause( 2088, [ equalish( 'e_4', X ), ~( product1( 'e_3', 'e_4', X ) ), ~(
% 1.01/1.38 'group_element'( X ) ), product1( 'e_4', X, 'e_1' ), product1( 'e_4', X,
% 1.01/1.38 'e_2' ) ] )
% 1.01/1.38 , clause( 2087, [ equalish( 'e_4', X ), ~( product1( 'e_3', 'e_4', X ) ),
% 1.01/1.38 ~( 'group_element'( X ) ), equalish( 'e_4', X ), product1( 'e_4', X,
% 1.01/1.38 'e_1' ), product1( 'e_4', X, 'e_2' ) ] )
% 1.01/1.38 , 0, 3, substitution( 0, [ :=( X, X )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 115, [ ~( 'group_element'( X ) ), equalish( 'e_4', X ), product1(
% 1.01/1.38 'e_4', X, 'e_1' ), ~( product1( 'e_3', 'e_4', X ) ), product1( 'e_4', X,
% 1.01/1.38 'e_2' ) ] )
% 1.01/1.38 , clause( 2088, [ equalish( 'e_4', X ), ~( product1( 'e_3', 'e_4', X ) ),
% 1.01/1.38 ~( 'group_element'( X ) ), product1( 'e_4', X, 'e_1' ), product1( 'e_4',
% 1.01/1.38 X, 'e_2' ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 1.01/1.38 3 ), ==>( 2, 0 ), ==>( 3, 2 ), ==>( 4, 4 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2093, [ equalish( 'e_4', 'e_3' ), ~( 'group_element'( 'e_3' ) ),
% 1.01/1.38 equalish( 'e_4', 'e_3' ), product1( 'e_4', 'e_3', 'e_1' ), product1(
% 1.01/1.38 'e_4', 'e_3', 'e_2' ) ] )
% 1.01/1.38 , clause( 57, [ equalish( X, Y ), ~( product1( X, Y, Y ) ) ] )
% 1.01/1.38 , 1, clause( 49, [ ~( 'group_element'( X ) ), equalish( 'e_4', X ),
% 1.01/1.38 product1( 'e_4', X, 'e_1' ), product1( 'e_4', X, 'e_2' ), product1( 'e_4'
% 1.01/1.38 , X, 'e_3' ) ] )
% 1.01/1.38 , 4, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_3' )] ), substitution( 1
% 1.01/1.38 , [ :=( X, 'e_3' )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2097, [ equalish( 'e_4', 'e_3' ), equalish( 'e_4', 'e_3' ),
% 1.01/1.38 product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3', 'e_2' ) ] )
% 1.01/1.38 , clause( 2093, [ equalish( 'e_4', 'e_3' ), ~( 'group_element'( 'e_3' ) ),
% 1.01/1.38 equalish( 'e_4', 'e_3' ), product1( 'e_4', 'e_3', 'e_1' ), product1(
% 1.01/1.38 'e_4', 'e_3', 'e_2' ) ] )
% 1.01/1.38 , 1, clause( 4, [ 'group_element'( 'e_3' ) ] )
% 1.01/1.38 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 factor(
% 1.01/1.38 clause( 2098, [ equalish( 'e_4', 'e_3' ), product1( 'e_4', 'e_3', 'e_1' ),
% 1.01/1.38 product1( 'e_4', 'e_3', 'e_2' ) ] )
% 1.01/1.38 , clause( 2097, [ equalish( 'e_4', 'e_3' ), equalish( 'e_4', 'e_3' ),
% 1.01/1.38 product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3', 'e_2' ) ] )
% 1.01/1.38 , 0, 1, substitution( 0, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 116, [ equalish( 'e_4', 'e_3' ), product1( 'e_4', 'e_3', 'e_1' ),
% 1.01/1.38 product1( 'e_4', 'e_3', 'e_2' ) ] )
% 1.01/1.38 , clause( 2098, [ equalish( 'e_4', 'e_3' ), product1( 'e_4', 'e_3', 'e_1' )
% 1.01/1.38 , product1( 'e_4', 'e_3', 'e_2' ) ] )
% 1.01/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 1.01/1.38 , 2 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2099, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3',
% 1.01/1.38 'e_2' ) ] )
% 1.01/1.38 , clause( 17, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 1.01/1.38 , 0, clause( 116, [ equalish( 'e_4', 'e_3' ), product1( 'e_4', 'e_3', 'e_1'
% 1.01/1.38 ), product1( 'e_4', 'e_3', 'e_2' ) ] )
% 1.01/1.38 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 117, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3',
% 1.01/1.38 'e_2' ) ] )
% 1.01/1.38 , clause( 2099, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3',
% 1.01/1.38 'e_2' ) ] )
% 1.01/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.01/1.38 ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2101, [ equalish( 'e_4', 'e_3' ), ~( product1( 'e_2', 'e_4', 'e_4'
% 1.01/1.38 ) ), product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.38 , clause( 77, [ equalish( X, Y ), ~( product1( X, Y, Z ) ), ~( product1( Z
% 1.01/1.38 , X, X ) ) ] )
% 1.01/1.38 , 1, clause( 117, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3'
% 1.01/1.38 , 'e_2' ) ] )
% 1.01/1.38 , 1, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_3' ), :=( Z, 'e_2' )] ),
% 1.01/1.38 substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2103, [ ~( product1( 'e_2', 'e_4', 'e_4' ) ), product1( 'e_4',
% 1.01/1.38 'e_3', 'e_1' ) ] )
% 1.01/1.38 , clause( 17, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 1.01/1.38 , 0, clause( 2101, [ equalish( 'e_4', 'e_3' ), ~( product1( 'e_2', 'e_4',
% 1.01/1.38 'e_4' ) ), product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.38 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 119, [ product1( 'e_4', 'e_3', 'e_1' ), ~( product1( 'e_2', 'e_4',
% 1.01/1.38 'e_4' ) ) ] )
% 1.01/1.38 , clause( 2103, [ ~( product1( 'e_2', 'e_4', 'e_4' ) ), product1( 'e_4',
% 1.01/1.38 'e_3', 'e_1' ) ] )
% 1.01/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 1.01/1.38 ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2105, [ equalish( 'e_2', X ), ~( product1( 'e_4', 'e_3', X ) ),
% 1.01/1.38 product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.38 , clause( 19, [ equalish( Z, T ), ~( product1( X, Y, Z ) ), ~( product1( X
% 1.01/1.38 , Y, T ) ) ] )
% 1.01/1.38 , 1, clause( 117, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3'
% 1.01/1.38 , 'e_2' ) ] )
% 1.01/1.38 , 1, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_3' ), :=( Z, 'e_2' ),
% 1.01/1.38 :=( T, X )] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 126, [ equalish( 'e_2', X ), ~( product1( 'e_4', 'e_3', X ) ),
% 1.01/1.38 product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.38 , clause( 2105, [ equalish( 'e_2', X ), ~( product1( 'e_4', 'e_3', X ) ),
% 1.01/1.38 product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.01/1.38 1 ), ==>( 2, 2 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2111, [ equalish( X, 'e_2' ), ~( product1( 'e_4', 'e_3', X ) ),
% 1.01/1.38 product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.38 , clause( 19, [ equalish( Z, T ), ~( product1( X, Y, Z ) ), ~( product1( X
% 1.01/1.38 , Y, T ) ) ] )
% 1.01/1.38 , 2, clause( 117, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3'
% 1.01/1.38 , 'e_2' ) ] )
% 1.01/1.38 , 1, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_3' ), :=( Z, X ), :=( T,
% 1.01/1.38 'e_2' )] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 127, [ equalish( X, 'e_2' ), ~( product1( 'e_4', 'e_3', X ) ),
% 1.01/1.38 product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.38 , clause( 2111, [ equalish( X, 'e_2' ), ~( product1( 'e_4', 'e_3', X ) ),
% 1.01/1.38 product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.01/1.38 1 ), ==>( 2, 2 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2117, [ equalish( X, 'e_4' ), ~( product1( 'e_3', 'e_4', X ) ), ~(
% 1.01/1.38 'group_element'( X ) ), equalish( X, 'e_4' ), product1( 'e_4', X, 'e_1' )
% 1.01/1.38 , product1( 'e_4', X, 'e_2' ) ] )
% 1.01/1.38 , clause( 84, [ equalish( X, Y ), ~( product1( Z, Y, X ) ), ~( product1( Y
% 1.01/1.38 , X, Z ) ) ] )
% 1.01/1.38 , 2, clause( 50, [ ~( 'group_element'( X ) ), equalish( X, 'e_4' ),
% 1.01/1.38 product1( 'e_4', X, 'e_1' ), product1( 'e_4', X, 'e_2' ), product1( 'e_4'
% 1.01/1.38 , X, 'e_3' ) ] )
% 1.01/1.38 , 4, substitution( 0, [ :=( X, X ), :=( Y, 'e_4' ), :=( Z, 'e_3' )] ),
% 1.01/1.38 substitution( 1, [ :=( X, X )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 factor(
% 1.01/1.38 clause( 2118, [ equalish( X, 'e_4' ), ~( product1( 'e_3', 'e_4', X ) ), ~(
% 1.01/1.38 'group_element'( X ) ), product1( 'e_4', X, 'e_1' ), product1( 'e_4', X,
% 1.01/1.38 'e_2' ) ] )
% 1.01/1.38 , clause( 2117, [ equalish( X, 'e_4' ), ~( product1( 'e_3', 'e_4', X ) ),
% 1.01/1.38 ~( 'group_element'( X ) ), equalish( X, 'e_4' ), product1( 'e_4', X,
% 1.01/1.38 'e_1' ), product1( 'e_4', X, 'e_2' ) ] )
% 1.01/1.38 , 0, 3, substitution( 0, [ :=( X, X )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 129, [ ~( 'group_element'( X ) ), equalish( X, 'e_4' ), product1(
% 1.01/1.38 'e_4', X, 'e_1' ), ~( product1( 'e_3', 'e_4', X ) ), product1( 'e_4', X,
% 1.01/1.38 'e_2' ) ] )
% 1.01/1.38 , clause( 2118, [ equalish( X, 'e_4' ), ~( product1( 'e_3', 'e_4', X ) ),
% 1.01/1.38 ~( 'group_element'( X ) ), product1( 'e_4', X, 'e_1' ), product1( 'e_4',
% 1.01/1.38 X, 'e_2' ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 1.01/1.38 3 ), ==>( 2, 0 ), ==>( 3, 2 ), ==>( 4, 4 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2121, [ equalish( 'e_4', 'e_3' ), ~( product1( 'e_1', 'e_4', 'e_4'
% 1.01/1.38 ) ), equalish( 'e_2', X ), ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 , clause( 77, [ equalish( X, Y ), ~( product1( X, Y, Z ) ), ~( product1( Z
% 1.01/1.38 , X, X ) ) ] )
% 1.01/1.38 , 1, clause( 126, [ equalish( 'e_2', X ), ~( product1( 'e_4', 'e_3', X ) )
% 1.01/1.38 , product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.38 , 2, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_3' ), :=( Z, 'e_1' )] ),
% 1.01/1.38 substitution( 1, [ :=( X, X )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2122, [ ~( product1( 'e_1', 'e_4', 'e_4' ) ), equalish( 'e_2', X )
% 1.01/1.38 , ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 , clause( 17, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 1.01/1.38 , 0, clause( 2121, [ equalish( 'e_4', 'e_3' ), ~( product1( 'e_1', 'e_4',
% 1.01/1.38 'e_4' ) ), equalish( 'e_2', X ), ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 133, [ equalish( 'e_2', X ), ~( product1( 'e_1', 'e_4', 'e_4' ) ),
% 1.01/1.38 ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 , clause( 2122, [ ~( product1( 'e_1', 'e_4', 'e_4' ) ), equalish( 'e_2', X
% 1.01/1.38 ), ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 1.01/1.38 0 ), ==>( 2, 2 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2124, [ equalish( 'e_3', 'e_4' ), ~( product1( 'e_1', 'e_4', 'e_3'
% 1.01/1.38 ) ), equalish( 'e_2', X ), ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 , clause( 84, [ equalish( X, Y ), ~( product1( Z, Y, X ) ), ~( product1( Y
% 1.01/1.38 , X, Z ) ) ] )
% 1.01/1.38 , 2, clause( 126, [ equalish( 'e_2', X ), ~( product1( 'e_4', 'e_3', X ) )
% 1.01/1.38 , product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.38 , 2, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_4' ), :=( Z, 'e_1' )] ),
% 1.01/1.38 substitution( 1, [ :=( X, X )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2125, [ ~( product1( 'e_1', 'e_4', 'e_3' ) ), equalish( 'e_2', X )
% 1.01/1.38 , ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 , clause( 14, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 1.01/1.38 , 0, clause( 2124, [ equalish( 'e_3', 'e_4' ), ~( product1( 'e_1', 'e_4',
% 1.01/1.38 'e_3' ) ), equalish( 'e_2', X ), ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 135, [ equalish( 'e_2', X ), ~( product1( 'e_1', 'e_4', 'e_3' ) ),
% 1.01/1.38 ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 , clause( 2125, [ ~( product1( 'e_1', 'e_4', 'e_3' ) ), equalish( 'e_2', X
% 1.01/1.38 ), ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 1.01/1.38 0 ), ==>( 2, 2 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2127, [ equalish( X, 'e_3' ), ~( product1( 'e_4', X, 'e_1' ) ),
% 1.01/1.38 equalish( 'e_2', Y ), ~( product1( 'e_4', 'e_3', Y ) ) ] )
% 1.01/1.38 , clause( 20, [ equalish( Y, T ), ~( product1( X, Y, Z ) ), ~( product1( X
% 1.01/1.38 , T, Z ) ) ] )
% 1.01/1.38 , 2, clause( 126, [ equalish( 'e_2', X ), ~( product1( 'e_4', 'e_3', X ) )
% 1.01/1.38 , product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.38 , 2, substitution( 0, [ :=( X, 'e_4' ), :=( Y, X ), :=( Z, 'e_1' ), :=( T,
% 1.01/1.38 'e_3' )] ), substitution( 1, [ :=( X, Y )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 139, [ equalish( 'e_2', X ), equalish( Y, 'e_3' ), ~( product1(
% 1.01/1.38 'e_4', Y, 'e_1' ) ), ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 , clause( 2127, [ equalish( X, 'e_3' ), ~( product1( 'e_4', X, 'e_1' ) ),
% 1.01/1.38 equalish( 'e_2', Y ), ~( product1( 'e_4', 'e_3', Y ) ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 1.01/1.38 ), ==>( 1, 2 ), ==>( 2, 0 ), ==>( 3, 3 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2132, [ equalish( 'e_3', 'e_4' ), ~( product1( 'e_4', 'e_3', X ) )
% 1.01/1.38 , ~( 'group_element'( X ) ), equalish( 'e_4', X ), product1( X, 'e_4',
% 1.01/1.38 'e_1' ), product1( X, 'e_4', 'e_2' ) ] )
% 1.01/1.38 , clause( 84, [ equalish( X, Y ), ~( product1( Z, Y, X ) ), ~( product1( Y
% 1.01/1.38 , X, Z ) ) ] )
% 1.01/1.38 , 1, clause( 58, [ ~( 'group_element'( X ) ), equalish( 'e_4', X ),
% 1.01/1.38 product1( X, 'e_4', 'e_1' ), product1( X, 'e_4', 'e_2' ), product1( X,
% 1.01/1.38 'e_4', 'e_3' ) ] )
% 1.01/1.38 , 4, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_4' ), :=( Z, X )] ),
% 1.01/1.38 substitution( 1, [ :=( X, X )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2139, [ ~( product1( 'e_4', 'e_3', X ) ), ~( 'group_element'( X ) )
% 1.01/1.38 , equalish( 'e_4', X ), product1( X, 'e_4', 'e_1' ), product1( X, 'e_4',
% 1.01/1.38 'e_2' ) ] )
% 1.01/1.38 , clause( 14, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 1.01/1.38 , 0, clause( 2132, [ equalish( 'e_3', 'e_4' ), ~( product1( 'e_4', 'e_3', X
% 1.01/1.38 ) ), ~( 'group_element'( X ) ), equalish( 'e_4', X ), product1( X, 'e_4'
% 1.01/1.38 , 'e_1' ), product1( X, 'e_4', 'e_2' ) ] )
% 1.01/1.38 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 149, [ ~( 'group_element'( X ) ), equalish( 'e_4', X ), product1( X
% 1.01/1.38 , 'e_4', 'e_1' ), ~( product1( 'e_4', 'e_3', X ) ), product1( X, 'e_4',
% 1.01/1.38 'e_2' ) ] )
% 1.01/1.38 , clause( 2139, [ ~( product1( 'e_4', 'e_3', X ) ), ~( 'group_element'( X )
% 1.01/1.38 ), equalish( 'e_4', X ), product1( X, 'e_4', 'e_1' ), product1( X, 'e_4'
% 1.01/1.38 , 'e_2' ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 1.01/1.38 0 ), ==>( 2, 1 ), ==>( 3, 2 ), ==>( 4, 4 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2140, [ equalish( 'e_2', 'e_1' ), ~( product1( 'e_1', 'e_4', 'e_3'
% 1.01/1.38 ) ), equalish( X, 'e_2' ), ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 , clause( 135, [ equalish( 'e_2', X ), ~( product1( 'e_1', 'e_4', 'e_3' ) )
% 1.01/1.38 , ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 , 2, clause( 127, [ equalish( X, 'e_2' ), ~( product1( 'e_4', 'e_3', X ) )
% 1.01/1.38 , product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.38 , 2, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [ :=( X, X )] )
% 1.01/1.38 ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2141, [ ~( product1( 'e_1', 'e_4', 'e_3' ) ), equalish( X, 'e_2' )
% 1.01/1.38 , ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 , clause( 9, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 1.01/1.38 , 0, clause( 2140, [ equalish( 'e_2', 'e_1' ), ~( product1( 'e_1', 'e_4',
% 1.01/1.38 'e_3' ) ), equalish( X, 'e_2' ), ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 152, [ equalish( X, 'e_2' ), ~( product1( 'e_1', 'e_4', 'e_3' ) ),
% 1.01/1.38 ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 , clause( 2141, [ ~( product1( 'e_1', 'e_4', 'e_3' ) ), equalish( X, 'e_2'
% 1.01/1.38 ), ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 1.01/1.38 0 ), ==>( 2, 2 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2142, [ equalish( 'e_2', 'e_1' ), ~( product1( 'e_1', 'e_4', 'e_4'
% 1.01/1.38 ) ), equalish( X, 'e_2' ), ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 , clause( 133, [ equalish( 'e_2', X ), ~( product1( 'e_1', 'e_4', 'e_4' ) )
% 1.01/1.38 , ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 , 2, clause( 127, [ equalish( X, 'e_2' ), ~( product1( 'e_4', 'e_3', X ) )
% 1.01/1.38 , product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.38 , 2, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [ :=( X, X )] )
% 1.01/1.38 ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2143, [ ~( product1( 'e_1', 'e_4', 'e_4' ) ), equalish( X, 'e_2' )
% 1.01/1.38 , ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 , clause( 9, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 1.01/1.38 , 0, clause( 2142, [ equalish( 'e_2', 'e_1' ), ~( product1( 'e_1', 'e_4',
% 1.01/1.38 'e_4' ) ), equalish( X, 'e_2' ), ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 154, [ equalish( X, 'e_2' ), ~( product1( 'e_1', 'e_4', 'e_4' ) ),
% 1.01/1.38 ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 , clause( 2143, [ ~( product1( 'e_1', 'e_4', 'e_4' ) ), equalish( X, 'e_2'
% 1.01/1.38 ), ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 1.01/1.38 0 ), ==>( 2, 2 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2145, [ equalish( X, 'e_3' ), ~( product1( 'e_4', X, 'e_1' ) ),
% 1.01/1.38 equalish( Y, 'e_2' ), ~( product1( 'e_4', 'e_3', Y ) ) ] )
% 1.01/1.38 , clause( 20, [ equalish( Y, T ), ~( product1( X, Y, Z ) ), ~( product1( X
% 1.01/1.38 , T, Z ) ) ] )
% 1.01/1.38 , 2, clause( 127, [ equalish( X, 'e_2' ), ~( product1( 'e_4', 'e_3', X ) )
% 1.01/1.38 , product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.38 , 2, substitution( 0, [ :=( X, 'e_4' ), :=( Y, X ), :=( Z, 'e_1' ), :=( T,
% 1.01/1.38 'e_3' )] ), substitution( 1, [ :=( X, Y )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 159, [ equalish( X, 'e_2' ), equalish( Y, 'e_3' ), ~( product1(
% 1.01/1.38 'e_4', Y, 'e_1' ) ), ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 , clause( 2145, [ equalish( X, 'e_3' ), ~( product1( 'e_4', X, 'e_1' ) ),
% 1.01/1.38 equalish( Y, 'e_2' ), ~( product1( 'e_4', 'e_3', Y ) ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 1.01/1.38 ), ==>( 1, 2 ), ==>( 2, 0 ), ==>( 3, 3 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2148, [ equalish( 'e_1', X ), ~( product1( 'e_4', 'e_3', X ) ),
% 1.01/1.38 equalish( Y, 'e_2' ), ~( product1( 'e_4', 'e_3', Y ) ) ] )
% 1.01/1.38 , clause( 19, [ equalish( Z, T ), ~( product1( X, Y, Z ) ), ~( product1( X
% 1.01/1.38 , Y, T ) ) ] )
% 1.01/1.38 , 1, clause( 127, [ equalish( X, 'e_2' ), ~( product1( 'e_4', 'e_3', X ) )
% 1.01/1.38 , product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.38 , 2, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_3' ), :=( Z, 'e_1' ),
% 1.01/1.38 :=( T, X )] ), substitution( 1, [ :=( X, Y )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 160, [ equalish( X, 'e_2' ), equalish( 'e_1', Y ), ~( product1(
% 1.01/1.38 'e_4', 'e_3', Y ) ), ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 , clause( 2148, [ equalish( 'e_1', X ), ~( product1( 'e_4', 'e_3', X ) ),
% 1.01/1.38 equalish( Y, 'e_2' ), ~( product1( 'e_4', 'e_3', Y ) ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 1.01/1.38 ), ==>( 1, 2 ), ==>( 2, 0 ), ==>( 3, 3 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2155, [ equalish( 'e_3', 'e_4' ), ~( 'group_element'( 'e_3' ) ),
% 1.01/1.38 equalish( 'e_3', 'e_4' ), product1( 'e_3', 'e_4', 'e_1' ), product1(
% 1.01/1.38 'e_3', 'e_4', 'e_2' ) ] )
% 1.01/1.38 , clause( 47, [ equalish( X, Y ), ~( product1( X, Y, X ) ) ] )
% 1.01/1.38 , 1, clause( 59, [ ~( 'group_element'( X ) ), equalish( X, 'e_4' ),
% 1.01/1.38 product1( X, 'e_4', 'e_1' ), product1( X, 'e_4', 'e_2' ), product1( X,
% 1.01/1.38 'e_4', 'e_3' ) ] )
% 1.01/1.38 , 4, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_4' )] ), substitution( 1
% 1.01/1.38 , [ :=( X, 'e_3' )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2159, [ equalish( 'e_3', 'e_4' ), equalish( 'e_3', 'e_4' ),
% 1.01/1.38 product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4', 'e_2' ) ] )
% 1.01/1.38 , clause( 2155, [ equalish( 'e_3', 'e_4' ), ~( 'group_element'( 'e_3' ) ),
% 1.01/1.38 equalish( 'e_3', 'e_4' ), product1( 'e_3', 'e_4', 'e_1' ), product1(
% 1.01/1.38 'e_3', 'e_4', 'e_2' ) ] )
% 1.01/1.38 , 1, clause( 4, [ 'group_element'( 'e_3' ) ] )
% 1.01/1.38 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 factor(
% 1.01/1.38 clause( 2160, [ equalish( 'e_3', 'e_4' ), product1( 'e_3', 'e_4', 'e_1' ),
% 1.01/1.38 product1( 'e_3', 'e_4', 'e_2' ) ] )
% 1.01/1.38 , clause( 2159, [ equalish( 'e_3', 'e_4' ), equalish( 'e_3', 'e_4' ),
% 1.01/1.38 product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4', 'e_2' ) ] )
% 1.01/1.38 , 0, 1, substitution( 0, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 168, [ equalish( 'e_3', 'e_4' ), product1( 'e_3', 'e_4', 'e_1' ),
% 1.01/1.38 product1( 'e_3', 'e_4', 'e_2' ) ] )
% 1.01/1.38 , clause( 2160, [ equalish( 'e_3', 'e_4' ), product1( 'e_3', 'e_4', 'e_1' )
% 1.01/1.38 , product1( 'e_3', 'e_4', 'e_2' ) ] )
% 1.01/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 1.01/1.38 , 2 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2161, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4',
% 1.01/1.38 'e_2' ) ] )
% 1.01/1.38 , clause( 14, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 1.01/1.38 , 0, clause( 168, [ equalish( 'e_3', 'e_4' ), product1( 'e_3', 'e_4', 'e_1'
% 1.01/1.38 ), product1( 'e_3', 'e_4', 'e_2' ) ] )
% 1.01/1.38 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 169, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4',
% 1.01/1.38 'e_2' ) ] )
% 1.01/1.38 , clause( 2161, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4',
% 1.01/1.38 'e_2' ) ] )
% 1.01/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.01/1.38 ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2163, [ equalish( 'e_2', X ), ~( product1( 'e_3', 'e_4', X ) ),
% 1.01/1.38 product1( 'e_3', 'e_4', 'e_1' ) ] )
% 1.01/1.38 , clause( 19, [ equalish( Z, T ), ~( product1( X, Y, Z ) ), ~( product1( X
% 1.01/1.38 , Y, T ) ) ] )
% 1.01/1.38 , 1, clause( 169, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4'
% 1.01/1.38 , 'e_2' ) ] )
% 1.01/1.38 , 1, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_4' ), :=( Z, 'e_2' ),
% 1.01/1.38 :=( T, X )] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 180, [ equalish( 'e_2', X ), ~( product1( 'e_3', 'e_4', X ) ),
% 1.01/1.38 product1( 'e_3', 'e_4', 'e_1' ) ] )
% 1.01/1.38 , clause( 2163, [ equalish( 'e_2', X ), ~( product1( 'e_3', 'e_4', X ) ),
% 1.01/1.38 product1( 'e_3', 'e_4', 'e_1' ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.01/1.38 1 ), ==>( 2, 2 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2169, [ equalish( X, 'e_2' ), ~( product1( 'e_3', 'e_4', X ) ),
% 1.01/1.38 product1( 'e_3', 'e_4', 'e_1' ) ] )
% 1.01/1.38 , clause( 19, [ equalish( Z, T ), ~( product1( X, Y, Z ) ), ~( product1( X
% 1.01/1.38 , Y, T ) ) ] )
% 1.01/1.38 , 2, clause( 169, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4'
% 1.01/1.38 , 'e_2' ) ] )
% 1.01/1.38 , 1, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_4' ), :=( Z, X ), :=( T,
% 1.01/1.38 'e_2' )] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 181, [ equalish( X, 'e_2' ), ~( product1( 'e_3', 'e_4', X ) ),
% 1.01/1.38 product1( 'e_3', 'e_4', 'e_1' ) ] )
% 1.01/1.38 , clause( 2169, [ equalish( X, 'e_2' ), ~( product1( 'e_3', 'e_4', X ) ),
% 1.01/1.38 product1( 'e_3', 'e_4', 'e_1' ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.01/1.38 1 ), ==>( 2, 2 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2170, [ equalish( 'e_3', X ), ~( product1( X, 'e_4', 'e_1' ) ),
% 1.01/1.38 equalish( 'e_2', Y ), ~( product1( 'e_3', 'e_4', Y ) ) ] )
% 1.01/1.38 , clause( 21, [ equalish( X, T ), ~( product1( X, Y, Z ) ), ~( product1( T
% 1.01/1.38 , Y, Z ) ) ] )
% 1.01/1.38 , 1, clause( 180, [ equalish( 'e_2', X ), ~( product1( 'e_3', 'e_4', X ) )
% 1.01/1.38 , product1( 'e_3', 'e_4', 'e_1' ) ] )
% 1.01/1.38 , 2, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_4' ), :=( Z, 'e_1' ),
% 1.01/1.38 :=( T, X )] ), substitution( 1, [ :=( X, Y )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 189, [ equalish( 'e_2', X ), equalish( 'e_3', Y ), ~( product1( Y,
% 1.01/1.38 'e_4', 'e_1' ) ), ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , clause( 2170, [ equalish( 'e_3', X ), ~( product1( X, 'e_4', 'e_1' ) ),
% 1.01/1.38 equalish( 'e_2', Y ), ~( product1( 'e_3', 'e_4', Y ) ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 1.01/1.38 ), ==>( 1, 2 ), ==>( 2, 0 ), ==>( 3, 3 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2174, [ equalish( 'e_3', X ), ~( product1( X, 'e_4', 'e_1' ) ),
% 1.01/1.38 equalish( Y, 'e_2' ), ~( product1( 'e_3', 'e_4', Y ) ) ] )
% 1.01/1.38 , clause( 21, [ equalish( X, T ), ~( product1( X, Y, Z ) ), ~( product1( T
% 1.01/1.38 , Y, Z ) ) ] )
% 1.01/1.38 , 1, clause( 181, [ equalish( X, 'e_2' ), ~( product1( 'e_3', 'e_4', X ) )
% 1.01/1.38 , product1( 'e_3', 'e_4', 'e_1' ) ] )
% 1.01/1.38 , 2, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_4' ), :=( Z, 'e_1' ),
% 1.01/1.38 :=( T, X )] ), substitution( 1, [ :=( X, Y )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 204, [ equalish( X, 'e_2' ), equalish( 'e_3', Y ), ~( product1( Y,
% 1.01/1.38 'e_4', 'e_1' ) ), ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , clause( 2174, [ equalish( 'e_3', X ), ~( product1( X, 'e_4', 'e_1' ) ),
% 1.01/1.38 equalish( Y, 'e_2' ), ~( product1( 'e_3', 'e_4', Y ) ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 1.01/1.38 ), ==>( 1, 2 ), ==>( 2, 0 ), ==>( 3, 3 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2179, [ equalish( X, 'e_1' ), ~( product1( 'e_3', 'e_4', X ) ),
% 1.01/1.38 equalish( Y, 'e_2' ), ~( product1( 'e_3', 'e_4', Y ) ) ] )
% 1.01/1.38 , clause( 19, [ equalish( Z, T ), ~( product1( X, Y, Z ) ), ~( product1( X
% 1.01/1.38 , Y, T ) ) ] )
% 1.01/1.38 , 2, clause( 181, [ equalish( X, 'e_2' ), ~( product1( 'e_3', 'e_4', X ) )
% 1.01/1.38 , product1( 'e_3', 'e_4', 'e_1' ) ] )
% 1.01/1.38 , 2, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_4' ), :=( Z, X ), :=( T,
% 1.01/1.38 'e_1' )] ), substitution( 1, [ :=( X, Y )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 209, [ equalish( X, 'e_2' ), equalish( Y, 'e_1' ), ~( product1(
% 1.01/1.38 'e_3', 'e_4', Y ) ), ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , clause( 2179, [ equalish( X, 'e_1' ), ~( product1( 'e_3', 'e_4', X ) ),
% 1.01/1.38 equalish( Y, 'e_2' ), ~( product1( 'e_3', 'e_4', Y ) ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 1.01/1.38 ), ==>( 1, 2 ), ==>( 2, 0 ), ==>( 3, 3 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2184, [ equalish( 'e_4', 'e_2' ), ~( 'group_element'( 'e_2' ) ),
% 1.01/1.38 equalish( 'e_4', 'e_2' ), product1( 'e_4', 'e_2', 'e_1' ), ~( product1(
% 1.01/1.38 'e_3', 'e_4', 'e_2' ) ) ] )
% 1.01/1.38 , clause( 57, [ equalish( X, Y ), ~( product1( X, Y, Y ) ) ] )
% 1.01/1.38 , 1, clause( 115, [ ~( 'group_element'( X ) ), equalish( 'e_4', X ),
% 1.01/1.38 product1( 'e_4', X, 'e_1' ), ~( product1( 'e_3', 'e_4', X ) ), product1(
% 1.01/1.38 'e_4', X, 'e_2' ) ] )
% 1.01/1.38 , 4, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_2' )] ), substitution( 1
% 1.01/1.38 , [ :=( X, 'e_2' )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2187, [ equalish( 'e_4', 'e_2' ), equalish( 'e_4', 'e_2' ),
% 1.01/1.38 product1( 'e_4', 'e_2', 'e_1' ), ~( product1( 'e_3', 'e_4', 'e_2' ) ) ]
% 1.01/1.38 )
% 1.01/1.38 , clause( 2184, [ equalish( 'e_4', 'e_2' ), ~( 'group_element'( 'e_2' ) ),
% 1.01/1.38 equalish( 'e_4', 'e_2' ), product1( 'e_4', 'e_2', 'e_1' ), ~( product1(
% 1.01/1.38 'e_3', 'e_4', 'e_2' ) ) ] )
% 1.01/1.38 , 1, clause( 3, [ 'group_element'( 'e_2' ) ] )
% 1.01/1.38 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 factor(
% 1.01/1.38 clause( 2188, [ equalish( 'e_4', 'e_2' ), product1( 'e_4', 'e_2', 'e_1' ),
% 1.01/1.38 ~( product1( 'e_3', 'e_4', 'e_2' ) ) ] )
% 1.01/1.38 , clause( 2187, [ equalish( 'e_4', 'e_2' ), equalish( 'e_4', 'e_2' ),
% 1.01/1.38 product1( 'e_4', 'e_2', 'e_1' ), ~( product1( 'e_3', 'e_4', 'e_2' ) ) ]
% 1.01/1.38 )
% 1.01/1.38 , 0, 1, substitution( 0, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 297, [ equalish( 'e_4', 'e_2' ), product1( 'e_4', 'e_2', 'e_1' ),
% 1.01/1.38 ~( product1( 'e_3', 'e_4', 'e_2' ) ) ] )
% 1.01/1.38 , clause( 2188, [ equalish( 'e_4', 'e_2' ), product1( 'e_4', 'e_2', 'e_1' )
% 1.01/1.38 , ~( product1( 'e_3', 'e_4', 'e_2' ) ) ] )
% 1.01/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 1.01/1.38 , 2 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2189, [ product1( 'e_4', 'e_2', 'e_1' ), ~( product1( 'e_3', 'e_4'
% 1.01/1.38 , 'e_2' ) ) ] )
% 1.01/1.38 , clause( 16, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 1.01/1.38 , 0, clause( 297, [ equalish( 'e_4', 'e_2' ), product1( 'e_4', 'e_2', 'e_1'
% 1.01/1.38 ), ~( product1( 'e_3', 'e_4', 'e_2' ) ) ] )
% 1.01/1.38 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 298, [ product1( 'e_4', 'e_2', 'e_1' ), ~( product1( 'e_3', 'e_4',
% 1.01/1.38 'e_2' ) ) ] )
% 1.01/1.38 , clause( 2189, [ product1( 'e_4', 'e_2', 'e_1' ), ~( product1( 'e_3',
% 1.01/1.38 'e_4', 'e_2' ) ) ] )
% 1.01/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.01/1.38 ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2190, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_3', 'e_4',
% 1.01/1.38 'e_1' ) ] )
% 1.01/1.38 , clause( 298, [ product1( 'e_4', 'e_2', 'e_1' ), ~( product1( 'e_3', 'e_4'
% 1.01/1.38 , 'e_2' ) ) ] )
% 1.01/1.38 , 1, clause( 169, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4'
% 1.01/1.38 , 'e_2' ) ] )
% 1.01/1.38 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 299, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_3', 'e_4',
% 1.01/1.38 'e_1' ) ] )
% 1.01/1.38 , clause( 2190, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_3', 'e_4',
% 1.01/1.38 'e_1' ) ] )
% 1.01/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.01/1.38 ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2191, [ ~( 'group_element'( 'e_1' ) ), equalish( 'e_4', 'e_1' ),
% 1.01/1.38 product1( 'e_4', 'e_1', 'e_1' ), product1( 'e_4', 'e_1', 'e_2' ),
% 1.01/1.38 product1( 'e_4', 'e_2', 'e_1' ) ] )
% 1.01/1.38 , clause( 115, [ ~( 'group_element'( X ) ), equalish( 'e_4', X ), product1(
% 1.01/1.38 'e_4', X, 'e_1' ), ~( product1( 'e_3', 'e_4', X ) ), product1( 'e_4', X,
% 1.01/1.38 'e_2' ) ] )
% 1.01/1.38 , 3, clause( 299, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_3', 'e_4'
% 1.01/1.38 , 'e_1' ) ] )
% 1.01/1.38 , 1, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2192, [ equalish( 'e_4', 'e_1' ), product1( 'e_4', 'e_1', 'e_1' ),
% 1.01/1.38 product1( 'e_4', 'e_1', 'e_2' ), product1( 'e_4', 'e_2', 'e_1' ) ] )
% 1.01/1.38 , clause( 2191, [ ~( 'group_element'( 'e_1' ) ), equalish( 'e_4', 'e_1' ),
% 1.01/1.38 product1( 'e_4', 'e_1', 'e_1' ), product1( 'e_4', 'e_1', 'e_2' ),
% 1.01/1.38 product1( 'e_4', 'e_2', 'e_1' ) ] )
% 1.01/1.38 , 0, clause( 2, [ 'group_element'( 'e_1' ) ] )
% 1.01/1.38 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 300, [ equalish( 'e_4', 'e_1' ), product1( 'e_4', 'e_1', 'e_1' ),
% 1.01/1.38 product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_1', 'e_2' ) ] )
% 1.01/1.38 , clause( 2192, [ equalish( 'e_4', 'e_1' ), product1( 'e_4', 'e_1', 'e_1' )
% 1.01/1.38 , product1( 'e_4', 'e_1', 'e_2' ), product1( 'e_4', 'e_2', 'e_1' ) ] )
% 1.01/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 1.01/1.38 , 3 ), ==>( 3, 2 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2196, [ equalish( X, 'e_3' ), ~( product1( X, 'e_4', 'e_1' ) ),
% 1.01/1.38 product1( 'e_4', 'e_2', 'e_1' ) ] )
% 1.01/1.38 , clause( 21, [ equalish( X, T ), ~( product1( X, Y, Z ) ), ~( product1( T
% 1.01/1.38 , Y, Z ) ) ] )
% 1.01/1.38 , 2, clause( 299, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_3', 'e_4'
% 1.01/1.38 , 'e_1' ) ] )
% 1.01/1.38 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'e_4' ), :=( Z, 'e_1' ), :=( T,
% 1.01/1.38 'e_3' )] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 306, [ equalish( X, 'e_3' ), product1( 'e_4', 'e_2', 'e_1' ), ~(
% 1.01/1.38 product1( X, 'e_4', 'e_1' ) ) ] )
% 1.01/1.38 , clause( 2196, [ equalish( X, 'e_3' ), ~( product1( X, 'e_4', 'e_1' ) ),
% 1.01/1.38 product1( 'e_4', 'e_2', 'e_1' ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.01/1.38 2 ), ==>( 2, 1 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2198, [ equalish( 'e_1', X ), ~( product1( 'e_3', 'e_4', X ) ),
% 1.01/1.38 product1( 'e_4', 'e_2', 'e_1' ) ] )
% 1.01/1.38 , clause( 19, [ equalish( Z, T ), ~( product1( X, Y, Z ) ), ~( product1( X
% 1.01/1.38 , Y, T ) ) ] )
% 1.01/1.38 , 1, clause( 299, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_3', 'e_4'
% 1.01/1.38 , 'e_1' ) ] )
% 1.01/1.38 , 1, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_4' ), :=( Z, 'e_1' ),
% 1.01/1.38 :=( T, X )] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 309, [ equalish( 'e_1', X ), ~( product1( 'e_3', 'e_4', X ) ),
% 1.01/1.38 product1( 'e_4', 'e_2', 'e_1' ) ] )
% 1.01/1.38 , clause( 2198, [ equalish( 'e_1', X ), ~( product1( 'e_3', 'e_4', X ) ),
% 1.01/1.38 product1( 'e_4', 'e_2', 'e_1' ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.01/1.38 1 ), ==>( 2, 2 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2204, [ equalish( X, 'e_1' ), ~( product1( 'e_3', 'e_4', X ) ),
% 1.01/1.38 product1( 'e_4', 'e_2', 'e_1' ) ] )
% 1.01/1.38 , clause( 19, [ equalish( Z, T ), ~( product1( X, Y, Z ) ), ~( product1( X
% 1.01/1.38 , Y, T ) ) ] )
% 1.01/1.38 , 2, clause( 299, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_3', 'e_4'
% 1.01/1.38 , 'e_1' ) ] )
% 1.01/1.38 , 1, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_4' ), :=( Z, X ), :=( T,
% 1.01/1.38 'e_1' )] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 310, [ equalish( X, 'e_1' ), ~( product1( 'e_3', 'e_4', X ) ),
% 1.01/1.38 product1( 'e_4', 'e_2', 'e_1' ) ] )
% 1.01/1.38 , clause( 2204, [ equalish( X, 'e_1' ), ~( product1( 'e_3', 'e_4', X ) ),
% 1.01/1.38 product1( 'e_4', 'e_2', 'e_1' ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.01/1.38 1 ), ==>( 2, 2 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2208, [ equalish( X, 'e_4' ), ~( product1( 'e_2', 'e_4', X ) ), ~(
% 1.01/1.38 'group_element'( X ) ), equalish( X, 'e_4' ), product1( 'e_4', X, 'e_1' )
% 1.01/1.38 , ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , clause( 84, [ equalish( X, Y ), ~( product1( Z, Y, X ) ), ~( product1( Y
% 1.01/1.38 , X, Z ) ) ] )
% 1.01/1.38 , 2, clause( 129, [ ~( 'group_element'( X ) ), equalish( X, 'e_4' ),
% 1.01/1.38 product1( 'e_4', X, 'e_1' ), ~( product1( 'e_3', 'e_4', X ) ), product1(
% 1.01/1.38 'e_4', X, 'e_2' ) ] )
% 1.01/1.38 , 4, substitution( 0, [ :=( X, X ), :=( Y, 'e_4' ), :=( Z, 'e_2' )] ),
% 1.01/1.38 substitution( 1, [ :=( X, X )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 factor(
% 1.01/1.38 clause( 2209, [ equalish( X, 'e_4' ), ~( product1( 'e_2', 'e_4', X ) ), ~(
% 1.01/1.38 'group_element'( X ) ), product1( 'e_4', X, 'e_1' ), ~( product1( 'e_3',
% 1.01/1.38 'e_4', X ) ) ] )
% 1.01/1.38 , clause( 2208, [ equalish( X, 'e_4' ), ~( product1( 'e_2', 'e_4', X ) ),
% 1.01/1.38 ~( 'group_element'( X ) ), equalish( X, 'e_4' ), product1( 'e_4', X,
% 1.01/1.38 'e_1' ), ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , 0, 3, substitution( 0, [ :=( X, X )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 313, [ ~( 'group_element'( X ) ), equalish( X, 'e_4' ), ~( product1(
% 1.01/1.38 'e_2', 'e_4', X ) ), ~( product1( 'e_3', 'e_4', X ) ), product1( 'e_4', X
% 1.01/1.38 , 'e_1' ) ] )
% 1.01/1.38 , clause( 2209, [ equalish( X, 'e_4' ), ~( product1( 'e_2', 'e_4', X ) ),
% 1.01/1.38 ~( 'group_element'( X ) ), product1( 'e_4', X, 'e_1' ), ~( product1(
% 1.01/1.38 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 1.01/1.38 2 ), ==>( 2, 0 ), ==>( 3, 4 ), ==>( 4, 3 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2212, [ equalish( 'e_2', 'e_4' ), ~( product1( 'e_1', 'e_4', 'e_2'
% 1.01/1.38 ) ), equalish( 'e_1', X ), ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , clause( 84, [ equalish( X, Y ), ~( product1( Z, Y, X ) ), ~( product1( Y
% 1.01/1.38 , X, Z ) ) ] )
% 1.01/1.38 , 2, clause( 309, [ equalish( 'e_1', X ), ~( product1( 'e_3', 'e_4', X ) )
% 1.01/1.38 , product1( 'e_4', 'e_2', 'e_1' ) ] )
% 1.01/1.38 , 2, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_4' ), :=( Z, 'e_1' )] ),
% 1.01/1.38 substitution( 1, [ :=( X, X )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2214, [ ~( product1( 'e_1', 'e_4', 'e_2' ) ), equalish( 'e_1', X )
% 1.01/1.38 , ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , clause( 11, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 1.01/1.38 , 0, clause( 2212, [ equalish( 'e_2', 'e_4' ), ~( product1( 'e_1', 'e_4',
% 1.01/1.38 'e_2' ) ), equalish( 'e_1', X ), ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 351, [ equalish( 'e_1', X ), ~( product1( 'e_1', 'e_4', 'e_2' ) ),
% 1.01/1.38 ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , clause( 2214, [ ~( product1( 'e_1', 'e_4', 'e_2' ) ), equalish( 'e_1', X
% 1.01/1.38 ), ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 1.01/1.38 0 ), ==>( 2, 2 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2216, [ equalish( X, 'e_2' ), ~( product1( 'e_4', X, 'e_1' ) ),
% 1.01/1.38 equalish( 'e_1', Y ), ~( product1( 'e_3', 'e_4', Y ) ) ] )
% 1.01/1.38 , clause( 20, [ equalish( Y, T ), ~( product1( X, Y, Z ) ), ~( product1( X
% 1.01/1.38 , T, Z ) ) ] )
% 1.01/1.38 , 2, clause( 309, [ equalish( 'e_1', X ), ~( product1( 'e_3', 'e_4', X ) )
% 1.01/1.38 , product1( 'e_4', 'e_2', 'e_1' ) ] )
% 1.01/1.38 , 2, substitution( 0, [ :=( X, 'e_4' ), :=( Y, X ), :=( Z, 'e_1' ), :=( T,
% 1.01/1.38 'e_2' )] ), substitution( 1, [ :=( X, Y )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 355, [ equalish( 'e_1', X ), equalish( Y, 'e_2' ), ~( product1(
% 1.01/1.38 'e_4', Y, 'e_1' ) ), ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , clause( 2216, [ equalish( X, 'e_2' ), ~( product1( 'e_4', X, 'e_1' ) ),
% 1.01/1.38 equalish( 'e_1', Y ), ~( product1( 'e_3', 'e_4', Y ) ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 1.01/1.38 ), ==>( 1, 2 ), ==>( 2, 0 ), ==>( 3, 3 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 factor(
% 1.01/1.38 clause( 2218, [ equalish( 'e_1', 'e_2' ), ~( product1( 'e_4', 'e_1', 'e_1'
% 1.01/1.38 ) ), ~( product1( 'e_3', 'e_4', 'e_2' ) ) ] )
% 1.01/1.38 , clause( 355, [ equalish( 'e_1', X ), equalish( Y, 'e_2' ), ~( product1(
% 1.01/1.38 'e_4', Y, 'e_1' ) ), ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , 0, 1, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_1' )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2219, [ ~( product1( 'e_4', 'e_1', 'e_1' ) ), ~( product1( 'e_3',
% 1.01/1.38 'e_4', 'e_2' ) ) ] )
% 1.01/1.38 , clause( 6, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 1.01/1.38 , 0, clause( 2218, [ equalish( 'e_1', 'e_2' ), ~( product1( 'e_4', 'e_1',
% 1.01/1.38 'e_1' ) ), ~( product1( 'e_3', 'e_4', 'e_2' ) ) ] )
% 1.01/1.38 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 359, [ ~( product1( 'e_4', 'e_1', 'e_1' ) ), ~( product1( 'e_3',
% 1.01/1.38 'e_4', 'e_2' ) ) ] )
% 1.01/1.38 , clause( 2219, [ ~( product1( 'e_4', 'e_1', 'e_1' ) ), ~( product1( 'e_3'
% 1.01/1.38 , 'e_4', 'e_2' ) ) ] )
% 1.01/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.01/1.38 ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2220, [ ~( product1( 'e_4', 'e_1', 'e_1' ) ), product1( 'e_3',
% 1.01/1.38 'e_4', 'e_1' ) ] )
% 1.01/1.38 , clause( 359, [ ~( product1( 'e_4', 'e_1', 'e_1' ) ), ~( product1( 'e_3',
% 1.01/1.38 'e_4', 'e_2' ) ) ] )
% 1.01/1.38 , 1, clause( 169, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4'
% 1.01/1.38 , 'e_2' ) ] )
% 1.01/1.38 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 361, [ ~( product1( 'e_4', 'e_1', 'e_1' ) ), product1( 'e_3', 'e_4'
% 1.01/1.38 , 'e_1' ) ] )
% 1.01/1.38 , clause( 2220, [ ~( product1( 'e_4', 'e_1', 'e_1' ) ), product1( 'e_3',
% 1.01/1.38 'e_4', 'e_1' ) ] )
% 1.01/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.01/1.38 ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2222, [ equalish( X, 'e_3' ), ~( product1( X, 'e_4', 'e_1' ) ), ~(
% 1.01/1.38 product1( 'e_4', 'e_1', 'e_1' ) ) ] )
% 1.01/1.38 , clause( 21, [ equalish( X, T ), ~( product1( X, Y, Z ) ), ~( product1( T
% 1.01/1.38 , Y, Z ) ) ] )
% 1.01/1.38 , 2, clause( 361, [ ~( product1( 'e_4', 'e_1', 'e_1' ) ), product1( 'e_3',
% 1.01/1.38 'e_4', 'e_1' ) ] )
% 1.01/1.38 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'e_4' ), :=( Z, 'e_1' ), :=( T,
% 1.01/1.38 'e_3' )] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 367, [ equalish( X, 'e_3' ), ~( product1( 'e_4', 'e_1', 'e_1' ) ),
% 1.01/1.38 ~( product1( X, 'e_4', 'e_1' ) ) ] )
% 1.01/1.38 , clause( 2222, [ equalish( X, 'e_3' ), ~( product1( X, 'e_4', 'e_1' ) ),
% 1.01/1.38 ~( product1( 'e_4', 'e_1', 'e_1' ) ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.01/1.38 2 ), ==>( 2, 1 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2224, [ equalish( 'e_1', 'e_2' ), ~( product1( 'e_1', 'e_4', 'e_2'
% 1.01/1.38 ) ), product1( 'e_3', 'e_4', 'e_1' ) ] )
% 1.01/1.38 , clause( 351, [ equalish( 'e_1', X ), ~( product1( 'e_1', 'e_4', 'e_2' ) )
% 1.01/1.38 , ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , 2, clause( 169, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4'
% 1.01/1.38 , 'e_2' ) ] )
% 1.01/1.38 , 1, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2225, [ ~( product1( 'e_1', 'e_4', 'e_2' ) ), product1( 'e_3',
% 1.01/1.38 'e_4', 'e_1' ) ] )
% 1.01/1.38 , clause( 6, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 1.01/1.38 , 0, clause( 2224, [ equalish( 'e_1', 'e_2' ), ~( product1( 'e_1', 'e_4',
% 1.01/1.38 'e_2' ) ), product1( 'e_3', 'e_4', 'e_1' ) ] )
% 1.01/1.38 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 382, [ product1( 'e_3', 'e_4', 'e_1' ), ~( product1( 'e_1', 'e_4',
% 1.01/1.38 'e_2' ) ) ] )
% 1.01/1.38 , clause( 2225, [ ~( product1( 'e_1', 'e_4', 'e_2' ) ), product1( 'e_3',
% 1.01/1.38 'e_4', 'e_1' ) ] )
% 1.01/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 1.01/1.38 ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2227, [ equalish( 'e_4', 'e_2' ), ~( 'group_element'( 'e_2' ) ),
% 1.01/1.38 equalish( 'e_4', 'e_2' ), product1( 'e_2', 'e_4', 'e_1' ), ~( product1(
% 1.01/1.38 'e_4', 'e_3', 'e_2' ) ) ] )
% 1.01/1.38 , clause( 48, [ equalish( X, Y ), ~( product1( Y, X, Y ) ) ] )
% 1.01/1.38 , 1, clause( 149, [ ~( 'group_element'( X ) ), equalish( 'e_4', X ),
% 1.01/1.38 product1( X, 'e_4', 'e_1' ), ~( product1( 'e_4', 'e_3', X ) ), product1(
% 1.01/1.38 X, 'e_4', 'e_2' ) ] )
% 1.01/1.38 , 4, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_2' )] ), substitution( 1
% 1.01/1.38 , [ :=( X, 'e_2' )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2230, [ equalish( 'e_4', 'e_2' ), equalish( 'e_4', 'e_2' ),
% 1.01/1.38 product1( 'e_2', 'e_4', 'e_1' ), ~( product1( 'e_4', 'e_3', 'e_2' ) ) ]
% 1.01/1.38 )
% 1.01/1.38 , clause( 2227, [ equalish( 'e_4', 'e_2' ), ~( 'group_element'( 'e_2' ) ),
% 1.01/1.38 equalish( 'e_4', 'e_2' ), product1( 'e_2', 'e_4', 'e_1' ), ~( product1(
% 1.01/1.38 'e_4', 'e_3', 'e_2' ) ) ] )
% 1.01/1.38 , 1, clause( 3, [ 'group_element'( 'e_2' ) ] )
% 1.01/1.38 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 factor(
% 1.01/1.38 clause( 2231, [ equalish( 'e_4', 'e_2' ), product1( 'e_2', 'e_4', 'e_1' ),
% 1.01/1.38 ~( product1( 'e_4', 'e_3', 'e_2' ) ) ] )
% 1.01/1.38 , clause( 2230, [ equalish( 'e_4', 'e_2' ), equalish( 'e_4', 'e_2' ),
% 1.01/1.38 product1( 'e_2', 'e_4', 'e_1' ), ~( product1( 'e_4', 'e_3', 'e_2' ) ) ]
% 1.01/1.38 )
% 1.01/1.38 , 0, 1, substitution( 0, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 388, [ equalish( 'e_4', 'e_2' ), product1( 'e_2', 'e_4', 'e_1' ),
% 1.01/1.38 ~( product1( 'e_4', 'e_3', 'e_2' ) ) ] )
% 1.01/1.38 , clause( 2231, [ equalish( 'e_4', 'e_2' ), product1( 'e_2', 'e_4', 'e_1' )
% 1.01/1.38 , ~( product1( 'e_4', 'e_3', 'e_2' ) ) ] )
% 1.01/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 1.01/1.38 , 2 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2232, [ equalish( 'e_2', X ), equalish( 'e_2', 'e_3' ), ~( product1(
% 1.01/1.38 'e_4', 'e_3', X ) ), equalish( Y, 'e_1' ), ~( product1( 'e_3', 'e_4', Y )
% 1.01/1.38 ) ] )
% 1.01/1.38 , clause( 139, [ equalish( 'e_2', X ), equalish( Y, 'e_3' ), ~( product1(
% 1.01/1.38 'e_4', Y, 'e_1' ) ), ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 , 2, clause( 310, [ equalish( X, 'e_1' ), ~( product1( 'e_3', 'e_4', X ) )
% 1.01/1.38 , product1( 'e_4', 'e_2', 'e_1' ) ] )
% 1.01/1.38 , 2, substitution( 0, [ :=( X, X ), :=( Y, 'e_2' )] ), substitution( 1, [
% 1.01/1.38 :=( X, Y )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2237, [ equalish( 'e_2', X ), ~( product1( 'e_4', 'e_3', X ) ),
% 1.01/1.38 equalish( Y, 'e_1' ), ~( product1( 'e_3', 'e_4', Y ) ) ] )
% 1.01/1.38 , clause( 10, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 1.01/1.38 , 0, clause( 2232, [ equalish( 'e_2', X ), equalish( 'e_2', 'e_3' ), ~(
% 1.01/1.38 product1( 'e_4', 'e_3', X ) ), equalish( Y, 'e_1' ), ~( product1( 'e_3',
% 1.01/1.38 'e_4', Y ) ) ] )
% 1.01/1.38 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 1.01/1.38 ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 391, [ equalish( X, 'e_1' ), equalish( 'e_2', Y ), ~( product1(
% 1.01/1.38 'e_4', 'e_3', Y ) ), ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , clause( 2237, [ equalish( 'e_2', X ), ~( product1( 'e_4', 'e_3', X ) ),
% 1.01/1.38 equalish( Y, 'e_1' ), ~( product1( 'e_3', 'e_4', Y ) ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 1.01/1.38 ), ==>( 1, 2 ), ==>( 2, 0 ), ==>( 3, 3 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 factor(
% 1.01/1.38 clause( 2239, [ equalish( 'e_2', 'e_1' ), ~( product1( 'e_4', 'e_3', 'e_1'
% 1.01/1.38 ) ), ~( product1( 'e_3', 'e_4', 'e_2' ) ) ] )
% 1.01/1.38 , clause( 391, [ equalish( X, 'e_1' ), equalish( 'e_2', Y ), ~( product1(
% 1.01/1.38 'e_4', 'e_3', Y ) ), ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , 0, 1, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_1' )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2240, [ ~( product1( 'e_4', 'e_3', 'e_1' ) ), ~( product1( 'e_3',
% 1.01/1.38 'e_4', 'e_2' ) ) ] )
% 1.01/1.38 , clause( 9, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 1.01/1.38 , 0, clause( 2239, [ equalish( 'e_2', 'e_1' ), ~( product1( 'e_4', 'e_3',
% 1.01/1.38 'e_1' ) ), ~( product1( 'e_3', 'e_4', 'e_2' ) ) ] )
% 1.01/1.38 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 403, [ ~( product1( 'e_4', 'e_3', 'e_1' ) ), ~( product1( 'e_3',
% 1.01/1.38 'e_4', 'e_2' ) ) ] )
% 1.01/1.38 , clause( 2240, [ ~( product1( 'e_4', 'e_3', 'e_1' ) ), ~( product1( 'e_3'
% 1.01/1.38 , 'e_4', 'e_2' ) ) ] )
% 1.01/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.01/1.38 ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2241, [ ~( product1( 'e_4', 'e_3', 'e_1' ) ), product1( 'e_3',
% 1.01/1.38 'e_4', 'e_1' ) ] )
% 1.01/1.38 , clause( 403, [ ~( product1( 'e_4', 'e_3', 'e_1' ) ), ~( product1( 'e_3',
% 1.01/1.38 'e_4', 'e_2' ) ) ] )
% 1.01/1.38 , 1, clause( 169, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4'
% 1.01/1.38 , 'e_2' ) ] )
% 1.01/1.38 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 405, [ ~( product1( 'e_4', 'e_3', 'e_1' ) ), product1( 'e_3', 'e_4'
% 1.01/1.38 , 'e_1' ) ] )
% 1.01/1.38 , clause( 2241, [ ~( product1( 'e_4', 'e_3', 'e_1' ) ), product1( 'e_3',
% 1.01/1.38 'e_4', 'e_1' ) ] )
% 1.01/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.01/1.38 ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2243, [ ~( 'group_element'( 'e_1' ) ), equalish( 'e_1', 'e_4' ),
% 1.01/1.38 product1( 'e_4', 'e_1', 'e_1' ), product1( 'e_4', 'e_1', 'e_2' ), ~(
% 1.01/1.38 product1( 'e_4', 'e_3', 'e_1' ) ) ] )
% 1.01/1.38 , clause( 129, [ ~( 'group_element'( X ) ), equalish( X, 'e_4' ), product1(
% 1.01/1.38 'e_4', X, 'e_1' ), ~( product1( 'e_3', 'e_4', X ) ), product1( 'e_4', X,
% 1.01/1.38 'e_2' ) ] )
% 1.01/1.38 , 3, clause( 405, [ ~( product1( 'e_4', 'e_3', 'e_1' ) ), product1( 'e_3',
% 1.01/1.38 'e_4', 'e_1' ) ] )
% 1.01/1.38 , 1, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2244, [ equalish( 'e_1', 'e_4' ), product1( 'e_4', 'e_1', 'e_1' ),
% 1.01/1.38 product1( 'e_4', 'e_1', 'e_2' ), ~( product1( 'e_4', 'e_3', 'e_1' ) ) ]
% 1.01/1.38 )
% 1.01/1.38 , clause( 2243, [ ~( 'group_element'( 'e_1' ) ), equalish( 'e_1', 'e_4' ),
% 1.01/1.38 product1( 'e_4', 'e_1', 'e_1' ), product1( 'e_4', 'e_1', 'e_2' ), ~(
% 1.01/1.38 product1( 'e_4', 'e_3', 'e_1' ) ) ] )
% 1.01/1.38 , 0, clause( 2, [ 'group_element'( 'e_1' ) ] )
% 1.01/1.38 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 406, [ equalish( 'e_1', 'e_4' ), product1( 'e_4', 'e_1', 'e_1' ),
% 1.01/1.38 ~( product1( 'e_4', 'e_3', 'e_1' ) ), product1( 'e_4', 'e_1', 'e_2' ) ]
% 1.01/1.38 )
% 1.01/1.38 , clause( 2244, [ equalish( 'e_1', 'e_4' ), product1( 'e_4', 'e_1', 'e_1' )
% 1.01/1.38 , product1( 'e_4', 'e_1', 'e_2' ), ~( product1( 'e_4', 'e_3', 'e_1' ) ) ]
% 1.01/1.38 )
% 1.01/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 1.01/1.38 , 3 ), ==>( 3, 2 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2245, [ equalish( 'e_1', X ), ~( product1( 'e_3', 'e_4', X ) ), ~(
% 1.01/1.38 product1( 'e_4', 'e_3', 'e_1' ) ) ] )
% 1.01/1.38 , clause( 19, [ equalish( Z, T ), ~( product1( X, Y, Z ) ), ~( product1( X
% 1.01/1.38 , Y, T ) ) ] )
% 1.01/1.38 , 1, clause( 405, [ ~( product1( 'e_4', 'e_3', 'e_1' ) ), product1( 'e_3',
% 1.01/1.38 'e_4', 'e_1' ) ] )
% 1.01/1.38 , 1, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_4' ), :=( Z, 'e_1' ),
% 1.01/1.38 :=( T, X )] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 416, [ equalish( 'e_1', X ), ~( product1( 'e_3', 'e_4', X ) ), ~(
% 1.01/1.38 product1( 'e_4', 'e_3', 'e_1' ) ) ] )
% 1.01/1.38 , clause( 2245, [ equalish( 'e_1', X ), ~( product1( 'e_3', 'e_4', X ) ),
% 1.01/1.38 ~( product1( 'e_4', 'e_3', 'e_1' ) ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.01/1.38 1 ), ==>( 2, 2 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2248, [ equalish( X, 'e_1' ), ~( product1( 'e_3', 'e_4', X ) ), ~(
% 1.01/1.38 product1( 'e_4', 'e_3', 'e_1' ) ) ] )
% 1.01/1.38 , clause( 19, [ equalish( Z, T ), ~( product1( X, Y, Z ) ), ~( product1( X
% 1.01/1.38 , Y, T ) ) ] )
% 1.01/1.38 , 2, clause( 405, [ ~( product1( 'e_4', 'e_3', 'e_1' ) ), product1( 'e_3',
% 1.01/1.38 'e_4', 'e_1' ) ] )
% 1.01/1.38 , 1, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_4' ), :=( Z, X ), :=( T,
% 1.01/1.38 'e_1' )] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 417, [ equalish( X, 'e_1' ), ~( product1( 'e_3', 'e_4', X ) ), ~(
% 1.01/1.38 product1( 'e_4', 'e_3', 'e_1' ) ) ] )
% 1.01/1.38 , clause( 2248, [ equalish( X, 'e_1' ), ~( product1( 'e_3', 'e_4', X ) ),
% 1.01/1.38 ~( product1( 'e_4', 'e_3', 'e_1' ) ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.01/1.38 1 ), ==>( 2, 2 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2249, [ equalish( X, 'e_1' ), ~( product1( 'e_3', 'e_4', X ) ),
% 1.01/1.38 equalish( Y, 'e_2' ), ~( product1( 'e_4', 'e_3', Y ) ) ] )
% 1.01/1.38 , clause( 417, [ equalish( X, 'e_1' ), ~( product1( 'e_3', 'e_4', X ) ),
% 1.01/1.38 ~( product1( 'e_4', 'e_3', 'e_1' ) ) ] )
% 1.01/1.38 , 2, clause( 127, [ equalish( X, 'e_2' ), ~( product1( 'e_4', 'e_3', X ) )
% 1.01/1.38 , product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.38 , 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y )] )
% 1.01/1.38 ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 421, [ equalish( X, 'e_1' ), equalish( Y, 'e_2' ), ~( product1(
% 1.01/1.38 'e_4', 'e_3', Y ) ), ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , clause( 2249, [ equalish( X, 'e_1' ), ~( product1( 'e_3', 'e_4', X ) ),
% 1.01/1.38 equalish( Y, 'e_2' ), ~( product1( 'e_4', 'e_3', Y ) ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.01/1.38 ), ==>( 1, 3 ), ==>( 2, 1 ), ==>( 3, 2 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2250, [ product1( 'e_2', 'e_4', 'e_1' ), ~( product1( 'e_4', 'e_3'
% 1.01/1.38 , 'e_2' ) ) ] )
% 1.01/1.38 , clause( 16, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 1.01/1.38 , 0, clause( 388, [ equalish( 'e_4', 'e_2' ), product1( 'e_2', 'e_4', 'e_1'
% 1.01/1.38 ), ~( product1( 'e_4', 'e_3', 'e_2' ) ) ] )
% 1.01/1.38 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 422, [ product1( 'e_2', 'e_4', 'e_1' ), ~( product1( 'e_4', 'e_3',
% 1.01/1.38 'e_2' ) ) ] )
% 1.01/1.38 , clause( 2250, [ product1( 'e_2', 'e_4', 'e_1' ), ~( product1( 'e_4',
% 1.01/1.38 'e_3', 'e_2' ) ) ] )
% 1.01/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.01/1.38 ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2251, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_4', 'e_3',
% 1.01/1.38 'e_1' ) ] )
% 1.01/1.38 , clause( 422, [ product1( 'e_2', 'e_4', 'e_1' ), ~( product1( 'e_4', 'e_3'
% 1.01/1.38 , 'e_2' ) ) ] )
% 1.01/1.38 , 1, clause( 117, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3'
% 1.01/1.38 , 'e_2' ) ] )
% 1.01/1.38 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 423, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_2', 'e_4',
% 1.01/1.38 'e_1' ) ] )
% 1.01/1.38 , clause( 2251, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_4', 'e_3',
% 1.01/1.38 'e_1' ) ] )
% 1.01/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 1.01/1.38 ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2252, [ equalish( 'e_2', 'e_3' ), ~( product1( 'e_4', 'e_1', 'e_1'
% 1.01/1.38 ) ), product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.38 , clause( 367, [ equalish( X, 'e_3' ), ~( product1( 'e_4', 'e_1', 'e_1' ) )
% 1.01/1.38 , ~( product1( X, 'e_4', 'e_1' ) ) ] )
% 1.01/1.38 , 2, clause( 423, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_2', 'e_4'
% 1.01/1.38 , 'e_1' ) ] )
% 1.01/1.38 , 1, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2253, [ ~( product1( 'e_4', 'e_1', 'e_1' ) ), product1( 'e_4',
% 1.01/1.38 'e_3', 'e_1' ) ] )
% 1.01/1.38 , clause( 10, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 1.01/1.38 , 0, clause( 2252, [ equalish( 'e_2', 'e_3' ), ~( product1( 'e_4', 'e_1',
% 1.01/1.38 'e_1' ) ), product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.38 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 424, [ ~( product1( 'e_4', 'e_1', 'e_1' ) ), product1( 'e_4', 'e_3'
% 1.01/1.38 , 'e_1' ) ] )
% 1.01/1.38 , clause( 2253, [ ~( product1( 'e_4', 'e_1', 'e_1' ) ), product1( 'e_4',
% 1.01/1.38 'e_3', 'e_1' ) ] )
% 1.01/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.01/1.38 ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2254, [ equalish( 'e_2', 'e_3' ), product1( 'e_4', 'e_2', 'e_1' ),
% 1.01/1.38 product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.38 , clause( 306, [ equalish( X, 'e_3' ), product1( 'e_4', 'e_2', 'e_1' ), ~(
% 1.01/1.38 product1( X, 'e_4', 'e_1' ) ) ] )
% 1.01/1.38 , 2, clause( 423, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_2', 'e_4'
% 1.01/1.38 , 'e_1' ) ] )
% 1.01/1.38 , 1, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2255, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_3',
% 1.01/1.38 'e_1' ) ] )
% 1.01/1.38 , clause( 10, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 1.01/1.38 , 0, clause( 2254, [ equalish( 'e_2', 'e_3' ), product1( 'e_4', 'e_2',
% 1.01/1.38 'e_1' ), product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.38 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 425, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_3',
% 1.01/1.38 'e_1' ) ] )
% 1.01/1.38 , clause( 2255, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_3',
% 1.01/1.38 'e_1' ) ] )
% 1.01/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.01/1.38 ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2259, [ equalish( 'e_4', 'e_2' ), ~( product1( 'e_1', 'e_2', 'e_4'
% 1.01/1.38 ) ), product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.38 , clause( 84, [ equalish( X, Y ), ~( product1( Z, Y, X ) ), ~( product1( Y
% 1.01/1.38 , X, Z ) ) ] )
% 1.01/1.38 , 2, clause( 423, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_2', 'e_4'
% 1.01/1.38 , 'e_1' ) ] )
% 1.01/1.38 , 1, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_2' ), :=( Z, 'e_1' )] ),
% 1.01/1.38 substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2260, [ ~( product1( 'e_1', 'e_2', 'e_4' ) ), product1( 'e_4',
% 1.01/1.38 'e_3', 'e_1' ) ] )
% 1.01/1.38 , clause( 16, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 1.01/1.38 , 0, clause( 2259, [ equalish( 'e_4', 'e_2' ), ~( product1( 'e_1', 'e_2',
% 1.01/1.38 'e_4' ) ), product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.38 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 429, [ product1( 'e_4', 'e_3', 'e_1' ), ~( product1( 'e_1', 'e_2',
% 1.01/1.38 'e_4' ) ) ] )
% 1.01/1.38 , clause( 2260, [ ~( product1( 'e_1', 'e_2', 'e_4' ) ), product1( 'e_4',
% 1.01/1.38 'e_3', 'e_1' ) ] )
% 1.01/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 1.01/1.38 ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2262, [ equalish( 'e_4', X ), ~( product1( 'e_2', X, 'e_1' ) ),
% 1.01/1.38 product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.38 , clause( 20, [ equalish( Y, T ), ~( product1( X, Y, Z ) ), ~( product1( X
% 1.01/1.38 , T, Z ) ) ] )
% 1.01/1.38 , 1, clause( 423, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_2', 'e_4'
% 1.01/1.38 , 'e_1' ) ] )
% 1.01/1.38 , 1, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_4' ), :=( Z, 'e_1' ),
% 1.01/1.38 :=( T, X )] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 432, [ equalish( 'e_4', X ), ~( product1( 'e_2', X, 'e_1' ) ),
% 1.01/1.38 product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.38 , clause( 2262, [ equalish( 'e_4', X ), ~( product1( 'e_2', X, 'e_1' ) ),
% 1.01/1.38 product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.01/1.38 1 ), ==>( 2, 2 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2266, [ equalish( 'e_1', X ), ~( product1( 'e_2', 'e_4', X ) ),
% 1.01/1.38 product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.38 , clause( 19, [ equalish( Z, T ), ~( product1( X, Y, Z ) ), ~( product1( X
% 1.01/1.38 , Y, T ) ) ] )
% 1.01/1.38 , 1, clause( 423, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_2', 'e_4'
% 1.01/1.38 , 'e_1' ) ] )
% 1.01/1.38 , 1, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_4' ), :=( Z, 'e_1' ),
% 1.01/1.38 :=( T, X )] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 434, [ equalish( 'e_1', X ), ~( product1( 'e_2', 'e_4', X ) ),
% 1.01/1.38 product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.38 , clause( 2266, [ equalish( 'e_1', X ), ~( product1( 'e_2', 'e_4', X ) ),
% 1.01/1.38 product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.01/1.38 1 ), ==>( 2, 2 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2272, [ equalish( X, 'e_1' ), ~( product1( 'e_2', 'e_4', X ) ),
% 1.01/1.38 product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.38 , clause( 19, [ equalish( Z, T ), ~( product1( X, Y, Z ) ), ~( product1( X
% 1.01/1.38 , Y, T ) ) ] )
% 1.01/1.38 , 2, clause( 423, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_2', 'e_4'
% 1.01/1.38 , 'e_1' ) ] )
% 1.01/1.38 , 1, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_4' ), :=( Z, X ), :=( T,
% 1.01/1.38 'e_1' )] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 435, [ equalish( X, 'e_1' ), ~( product1( 'e_2', 'e_4', X ) ),
% 1.01/1.38 product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.38 , clause( 2272, [ equalish( X, 'e_1' ), ~( product1( 'e_2', 'e_4', X ) ),
% 1.01/1.38 product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.01/1.38 1 ), ==>( 2, 2 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2274, [ equalish( 'e_2', 'e_1' ), equalish( X, 'e_3' ), ~( product1(
% 1.01/1.38 'e_4', X, 'e_1' ) ), ~( product1( 'e_4', 'e_1', 'e_1' ) ) ] )
% 1.01/1.38 , clause( 139, [ equalish( 'e_2', X ), equalish( Y, 'e_3' ), ~( product1(
% 1.01/1.38 'e_4', Y, 'e_1' ) ), ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 , 3, clause( 424, [ ~( product1( 'e_4', 'e_1', 'e_1' ) ), product1( 'e_4',
% 1.01/1.38 'e_3', 'e_1' ) ] )
% 1.01/1.38 , 1, substitution( 0, [ :=( X, 'e_1' ), :=( Y, X )] ), substitution( 1, [] )
% 1.01/1.38 ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2277, [ equalish( X, 'e_3' ), ~( product1( 'e_4', X, 'e_1' ) ), ~(
% 1.01/1.38 product1( 'e_4', 'e_1', 'e_1' ) ) ] )
% 1.01/1.38 , clause( 9, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 1.01/1.38 , 0, clause( 2274, [ equalish( 'e_2', 'e_1' ), equalish( X, 'e_3' ), ~(
% 1.01/1.38 product1( 'e_4', X, 'e_1' ) ), ~( product1( 'e_4', 'e_1', 'e_1' ) ) ] )
% 1.01/1.38 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 441, [ equalish( X, 'e_3' ), ~( product1( 'e_4', X, 'e_1' ) ), ~(
% 1.01/1.38 product1( 'e_4', 'e_1', 'e_1' ) ) ] )
% 1.01/1.38 , clause( 2277, [ equalish( X, 'e_3' ), ~( product1( 'e_4', X, 'e_1' ) ),
% 1.01/1.38 ~( product1( 'e_4', 'e_1', 'e_1' ) ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.01/1.38 1 ), ==>( 2, 2 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 factor(
% 1.01/1.38 clause( 2279, [ equalish( 'e_1', 'e_3' ), ~( product1( 'e_4', 'e_1', 'e_1'
% 1.01/1.38 ) ) ] )
% 1.01/1.38 , clause( 441, [ equalish( X, 'e_3' ), ~( product1( 'e_4', X, 'e_1' ) ),
% 1.01/1.38 ~( product1( 'e_4', 'e_1', 'e_1' ) ) ] )
% 1.01/1.38 , 1, 2, substitution( 0, [ :=( X, 'e_1' )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2280, [ ~( product1( 'e_4', 'e_1', 'e_1' ) ) ] )
% 1.01/1.38 , clause( 7, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 1.01/1.38 , 0, clause( 2279, [ equalish( 'e_1', 'e_3' ), ~( product1( 'e_4', 'e_1',
% 1.01/1.38 'e_1' ) ) ] )
% 1.01/1.38 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 446, [ ~( product1( 'e_4', 'e_1', 'e_1' ) ) ] )
% 1.01/1.38 , clause( 2280, [ ~( product1( 'e_4', 'e_1', 'e_1' ) ) ] )
% 1.01/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2282, [ equalish( 'e_1', 'e_2' ), equalish( 'e_1', X ), ~( product1(
% 1.01/1.38 'e_4', 'e_3', X ) ), product1( 'e_4', 'e_2', 'e_1' ) ] )
% 1.01/1.38 , clause( 160, [ equalish( X, 'e_2' ), equalish( 'e_1', Y ), ~( product1(
% 1.01/1.38 'e_4', 'e_3', Y ) ), ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 , 3, clause( 425, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_3'
% 1.01/1.38 , 'e_1' ) ] )
% 1.01/1.38 , 1, substitution( 0, [ :=( X, 'e_1' ), :=( Y, X )] ), substitution( 1, [] )
% 1.01/1.38 ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2285, [ equalish( 'e_1', X ), ~( product1( 'e_4', 'e_3', X ) ),
% 1.01/1.38 product1( 'e_4', 'e_2', 'e_1' ) ] )
% 1.01/1.38 , clause( 6, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 1.01/1.38 , 0, clause( 2282, [ equalish( 'e_1', 'e_2' ), equalish( 'e_1', X ), ~(
% 1.01/1.38 product1( 'e_4', 'e_3', X ) ), product1( 'e_4', 'e_2', 'e_1' ) ] )
% 1.01/1.38 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 447, [ equalish( 'e_1', X ), ~( product1( 'e_4', 'e_3', X ) ),
% 1.01/1.38 product1( 'e_4', 'e_2', 'e_1' ) ] )
% 1.01/1.38 , clause( 2285, [ equalish( 'e_1', X ), ~( product1( 'e_4', 'e_3', X ) ),
% 1.01/1.38 product1( 'e_4', 'e_2', 'e_1' ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.01/1.38 1 ), ==>( 2, 2 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2288, [ equalish( 'e_1', 'e_2' ), equalish( X, 'e_3' ), ~( product1(
% 1.01/1.38 'e_4', X, 'e_1' ) ), product1( 'e_4', 'e_2', 'e_1' ) ] )
% 1.01/1.38 , clause( 159, [ equalish( X, 'e_2' ), equalish( Y, 'e_3' ), ~( product1(
% 1.01/1.38 'e_4', Y, 'e_1' ) ), ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 , 3, clause( 425, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_3'
% 1.01/1.38 , 'e_1' ) ] )
% 1.01/1.38 , 1, substitution( 0, [ :=( X, 'e_1' ), :=( Y, X )] ), substitution( 1, [] )
% 1.01/1.38 ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2289, [ equalish( X, 'e_3' ), ~( product1( 'e_4', X, 'e_1' ) ),
% 1.01/1.38 product1( 'e_4', 'e_2', 'e_1' ) ] )
% 1.01/1.38 , clause( 6, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 1.01/1.38 , 0, clause( 2288, [ equalish( 'e_1', 'e_2' ), equalish( X, 'e_3' ), ~(
% 1.01/1.38 product1( 'e_4', X, 'e_1' ) ), product1( 'e_4', 'e_2', 'e_1' ) ] )
% 1.01/1.38 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 448, [ equalish( X, 'e_3' ), ~( product1( 'e_4', X, 'e_1' ) ),
% 1.01/1.38 product1( 'e_4', 'e_2', 'e_1' ) ] )
% 1.01/1.38 , clause( 2289, [ equalish( X, 'e_3' ), ~( product1( 'e_4', X, 'e_1' ) ),
% 1.01/1.38 product1( 'e_4', 'e_2', 'e_1' ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.01/1.38 1 ), ==>( 2, 2 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2290, [ equalish( 'e_4', 'e_2' ), ~( product1( 'e_1', 'e_4', 'e_4'
% 1.01/1.38 ) ), equalish( 'e_1', X ), ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 , clause( 77, [ equalish( X, Y ), ~( product1( X, Y, Z ) ), ~( product1( Z
% 1.01/1.38 , X, X ) ) ] )
% 1.01/1.38 , 1, clause( 447, [ equalish( 'e_1', X ), ~( product1( 'e_4', 'e_3', X ) )
% 1.01/1.38 , product1( 'e_4', 'e_2', 'e_1' ) ] )
% 1.01/1.38 , 2, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_2' ), :=( Z, 'e_1' )] ),
% 1.01/1.38 substitution( 1, [ :=( X, X )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2291, [ ~( product1( 'e_1', 'e_4', 'e_4' ) ), equalish( 'e_1', X )
% 1.01/1.38 , ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 , clause( 16, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 1.01/1.38 , 0, clause( 2290, [ equalish( 'e_4', 'e_2' ), ~( product1( 'e_1', 'e_4',
% 1.01/1.38 'e_4' ) ), equalish( 'e_1', X ), ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 462, [ equalish( 'e_1', X ), ~( product1( 'e_1', 'e_4', 'e_4' ) ),
% 1.01/1.38 ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 , clause( 2291, [ ~( product1( 'e_1', 'e_4', 'e_4' ) ), equalish( 'e_1', X
% 1.01/1.38 ), ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 1.01/1.38 0 ), ==>( 2, 2 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2292, [ equalish( 'e_1', 'e_2' ), ~( product1( 'e_2', 'e_1', 'e_4'
% 1.01/1.38 ) ), equalish( 'e_1', X ), ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 , clause( 84, [ equalish( X, Y ), ~( product1( Z, Y, X ) ), ~( product1( Y
% 1.01/1.38 , X, Z ) ) ] )
% 1.01/1.38 , 1, clause( 447, [ equalish( 'e_1', X ), ~( product1( 'e_4', 'e_3', X ) )
% 1.01/1.38 , product1( 'e_4', 'e_2', 'e_1' ) ] )
% 1.01/1.38 , 2, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_2' ), :=( Z, 'e_4' )] ),
% 1.01/1.38 substitution( 1, [ :=( X, X )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2296, [ ~( product1( 'e_2', 'e_1', 'e_4' ) ), equalish( 'e_1', X )
% 1.01/1.38 , ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 , clause( 6, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 1.01/1.38 , 0, clause( 2292, [ equalish( 'e_1', 'e_2' ), ~( product1( 'e_2', 'e_1',
% 1.01/1.38 'e_4' ) ), equalish( 'e_1', X ), ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 463, [ equalish( 'e_1', X ), ~( product1( 'e_2', 'e_1', 'e_4' ) ),
% 1.01/1.38 ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 , clause( 2296, [ ~( product1( 'e_2', 'e_1', 'e_4' ) ), equalish( 'e_1', X
% 1.01/1.38 ), ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 1.01/1.38 0 ), ==>( 2, 2 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2298, [ equalish( 'e_1', 'e_2' ), ~( product1( 'e_1', 'e_4', 'e_4'
% 1.01/1.38 ) ), product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.38 , clause( 462, [ equalish( 'e_1', X ), ~( product1( 'e_1', 'e_4', 'e_4' ) )
% 1.01/1.38 , ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 , 2, clause( 117, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3'
% 1.01/1.38 , 'e_2' ) ] )
% 1.01/1.38 , 1, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2299, [ ~( product1( 'e_1', 'e_4', 'e_4' ) ), product1( 'e_4',
% 1.01/1.38 'e_3', 'e_1' ) ] )
% 1.01/1.38 , clause( 6, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 1.01/1.38 , 0, clause( 2298, [ equalish( 'e_1', 'e_2' ), ~( product1( 'e_1', 'e_4',
% 1.01/1.38 'e_4' ) ), product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.38 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 479, [ product1( 'e_4', 'e_3', 'e_1' ), ~( product1( 'e_1', 'e_4',
% 1.01/1.38 'e_4' ) ) ] )
% 1.01/1.38 , clause( 2299, [ ~( product1( 'e_1', 'e_4', 'e_4' ) ), product1( 'e_4',
% 1.01/1.38 'e_3', 'e_1' ) ] )
% 1.01/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 1.01/1.38 ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2301, [ equalish( 'e_1', 'e_2' ), ~( product1( 'e_2', 'e_1', 'e_4'
% 1.01/1.38 ) ), product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.38 , clause( 463, [ equalish( 'e_1', X ), ~( product1( 'e_2', 'e_1', 'e_4' ) )
% 1.01/1.38 , ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 , 2, clause( 117, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3'
% 1.01/1.38 , 'e_2' ) ] )
% 1.01/1.38 , 1, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2302, [ ~( product1( 'e_2', 'e_1', 'e_4' ) ), product1( 'e_4',
% 1.01/1.38 'e_3', 'e_1' ) ] )
% 1.01/1.38 , clause( 6, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 1.01/1.38 , 0, clause( 2301, [ equalish( 'e_1', 'e_2' ), ~( product1( 'e_2', 'e_1',
% 1.01/1.38 'e_4' ) ), product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.38 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 483, [ product1( 'e_4', 'e_3', 'e_1' ), ~( product1( 'e_2', 'e_1',
% 1.01/1.38 'e_4' ) ) ] )
% 1.01/1.38 , clause( 2302, [ ~( product1( 'e_2', 'e_1', 'e_4' ) ), product1( 'e_4',
% 1.01/1.38 'e_3', 'e_1' ) ] )
% 1.01/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 1.01/1.38 ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2303, [ equalish( 'e_2', X ), ~( product1( 'e_4', X, 'e_1' ) ),
% 1.01/1.38 equalish( Y, 'e_3' ), ~( product1( 'e_4', Y, 'e_1' ) ) ] )
% 1.01/1.38 , clause( 20, [ equalish( Y, T ), ~( product1( X, Y, Z ) ), ~( product1( X
% 1.01/1.38 , T, Z ) ) ] )
% 1.01/1.38 , 1, clause( 448, [ equalish( X, 'e_3' ), ~( product1( 'e_4', X, 'e_1' ) )
% 1.01/1.38 , product1( 'e_4', 'e_2', 'e_1' ) ] )
% 1.01/1.38 , 2, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_2' ), :=( Z, 'e_1' ),
% 1.01/1.38 :=( T, X )] ), substitution( 1, [ :=( X, Y )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 494, [ equalish( X, 'e_3' ), equalish( 'e_2', Y ), ~( product1(
% 1.01/1.38 'e_4', Y, 'e_1' ) ), ~( product1( 'e_4', X, 'e_1' ) ) ] )
% 1.01/1.38 , clause( 2303, [ equalish( 'e_2', X ), ~( product1( 'e_4', X, 'e_1' ) ),
% 1.01/1.38 equalish( Y, 'e_3' ), ~( product1( 'e_4', Y, 'e_1' ) ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 1.01/1.38 ), ==>( 1, 2 ), ==>( 2, 0 ), ==>( 3, 3 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 factor(
% 1.01/1.38 clause( 2308, [ equalish( 'e_2', 'e_3' ), ~( product1( 'e_4', 'e_3', 'e_1'
% 1.01/1.38 ) ), ~( product1( 'e_4', 'e_2', 'e_1' ) ) ] )
% 1.01/1.38 , clause( 494, [ equalish( X, 'e_3' ), equalish( 'e_2', Y ), ~( product1(
% 1.01/1.38 'e_4', Y, 'e_1' ) ), ~( product1( 'e_4', X, 'e_1' ) ) ] )
% 1.01/1.38 , 0, 1, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_3' )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2310, [ ~( product1( 'e_4', 'e_3', 'e_1' ) ), ~( product1( 'e_4',
% 1.01/1.38 'e_2', 'e_1' ) ) ] )
% 1.01/1.38 , clause( 10, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 1.01/1.38 , 0, clause( 2308, [ equalish( 'e_2', 'e_3' ), ~( product1( 'e_4', 'e_3',
% 1.01/1.38 'e_1' ) ), ~( product1( 'e_4', 'e_2', 'e_1' ) ) ] )
% 1.01/1.38 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 499, [ ~( product1( 'e_4', 'e_2', 'e_1' ) ), ~( product1( 'e_4',
% 1.01/1.38 'e_3', 'e_1' ) ) ] )
% 1.01/1.38 , clause( 2310, [ ~( product1( 'e_4', 'e_3', 'e_1' ) ), ~( product1( 'e_4'
% 1.01/1.38 , 'e_2', 'e_1' ) ) ] )
% 1.01/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 1.01/1.38 ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2311, [ ~( product1( 'e_4', 'e_2', 'e_1' ) ), equalish( 'e_2', X )
% 1.01/1.38 , ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 , clause( 499, [ ~( product1( 'e_4', 'e_2', 'e_1' ) ), ~( product1( 'e_4',
% 1.01/1.38 'e_3', 'e_1' ) ) ] )
% 1.01/1.38 , 1, clause( 126, [ equalish( 'e_2', X ), ~( product1( 'e_4', 'e_3', X ) )
% 1.01/1.38 , product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.38 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 502, [ equalish( 'e_2', X ), ~( product1( 'e_4', 'e_3', X ) ), ~(
% 1.01/1.38 product1( 'e_4', 'e_2', 'e_1' ) ) ] )
% 1.01/1.38 , clause( 2311, [ ~( product1( 'e_4', 'e_2', 'e_1' ) ), equalish( 'e_2', X
% 1.01/1.38 ), ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 1.01/1.38 0 ), ==>( 2, 1 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2312, [ equalish( 'e_2', X ), equalish( 'e_3', 'e_2' ), ~( product1(
% 1.01/1.38 'e_3', 'e_4', X ) ), product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.38 , clause( 189, [ equalish( 'e_2', X ), equalish( 'e_3', Y ), ~( product1( Y
% 1.01/1.38 , 'e_4', 'e_1' ) ), ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , 2, clause( 423, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_2', 'e_4'
% 1.01/1.38 , 'e_1' ) ] )
% 1.01/1.38 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'e_2' )] ), substitution( 1, [] )
% 1.01/1.38 ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2313, [ equalish( 'e_2', X ), ~( product1( 'e_3', 'e_4', X ) ),
% 1.01/1.38 product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.38 , clause( 13, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 1.01/1.38 , 0, clause( 2312, [ equalish( 'e_2', X ), equalish( 'e_3', 'e_2' ), ~(
% 1.01/1.38 product1( 'e_3', 'e_4', X ) ), product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.38 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 515, [ equalish( 'e_2', X ), product1( 'e_4', 'e_3', 'e_1' ), ~(
% 1.01/1.38 product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , clause( 2313, [ equalish( 'e_2', X ), ~( product1( 'e_3', 'e_4', X ) ),
% 1.01/1.38 product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.01/1.38 2 ), ==>( 2, 1 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2314, [ equalish( 'e_2', 'e_1' ), ~( product1( 'e_4', 'e_2', 'e_1'
% 1.01/1.38 ) ), equalish( 'e_2', X ), ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , clause( 502, [ equalish( 'e_2', X ), ~( product1( 'e_4', 'e_3', X ) ),
% 1.01/1.38 ~( product1( 'e_4', 'e_2', 'e_1' ) ) ] )
% 1.01/1.38 , 1, clause( 515, [ equalish( 'e_2', X ), product1( 'e_4', 'e_3', 'e_1' ),
% 1.01/1.38 ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , 1, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [ :=( X, X )] )
% 1.01/1.38 ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2317, [ ~( product1( 'e_4', 'e_2', 'e_1' ) ), equalish( 'e_2', X )
% 1.01/1.38 , ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , clause( 9, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 1.01/1.38 , 0, clause( 2314, [ equalish( 'e_2', 'e_1' ), ~( product1( 'e_4', 'e_2',
% 1.01/1.38 'e_1' ) ), equalish( 'e_2', X ), ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 516, [ equalish( 'e_2', X ), ~( product1( 'e_4', 'e_2', 'e_1' ) ),
% 1.01/1.38 ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , clause( 2317, [ ~( product1( 'e_4', 'e_2', 'e_1' ) ), equalish( 'e_2', X
% 1.01/1.38 ), ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 1.01/1.38 0 ), ==>( 2, 2 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2318, [ equalish( 'e_2', 'e_1' ), product1( 'e_4', 'e_3', 'e_1' ),
% 1.01/1.38 equalish( X, 'e_2' ), ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , clause( 515, [ equalish( 'e_2', X ), product1( 'e_4', 'e_3', 'e_1' ), ~(
% 1.01/1.38 product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , 2, clause( 181, [ equalish( X, 'e_2' ), ~( product1( 'e_3', 'e_4', X ) )
% 1.01/1.38 , product1( 'e_3', 'e_4', 'e_1' ) ] )
% 1.01/1.38 , 2, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [ :=( X, X )] )
% 1.01/1.38 ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2319, [ product1( 'e_4', 'e_3', 'e_1' ), equalish( X, 'e_2' ), ~(
% 1.01/1.38 product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , clause( 9, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 1.01/1.38 , 0, clause( 2318, [ equalish( 'e_2', 'e_1' ), product1( 'e_4', 'e_3',
% 1.01/1.38 'e_1' ), equalish( X, 'e_2' ), ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 523, [ equalish( X, 'e_2' ), ~( product1( 'e_3', 'e_4', X ) ),
% 1.01/1.38 product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.38 , clause( 2319, [ product1( 'e_4', 'e_3', 'e_1' ), equalish( X, 'e_2' ),
% 1.01/1.38 ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 1.01/1.38 0 ), ==>( 2, 1 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2320, [ equalish( 'e_1', 'e_2' ), ~( product1( 'e_1', 'e_4', 'e_3'
% 1.01/1.38 ) ), equalish( 'e_2', X ), ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , clause( 152, [ equalish( X, 'e_2' ), ~( product1( 'e_1', 'e_4', 'e_3' ) )
% 1.01/1.38 , ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 , 2, clause( 515, [ equalish( 'e_2', X ), product1( 'e_4', 'e_3', 'e_1' ),
% 1.01/1.38 ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , 1, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [ :=( X, X )] )
% 1.01/1.38 ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2321, [ ~( product1( 'e_1', 'e_4', 'e_3' ) ), equalish( 'e_2', X )
% 1.01/1.38 , ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , clause( 6, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 1.01/1.38 , 0, clause( 2320, [ equalish( 'e_1', 'e_2' ), ~( product1( 'e_1', 'e_4',
% 1.01/1.38 'e_3' ) ), equalish( 'e_2', X ), ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 527, [ equalish( 'e_2', X ), ~( product1( 'e_1', 'e_4', 'e_3' ) ),
% 1.01/1.38 ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , clause( 2321, [ ~( product1( 'e_1', 'e_4', 'e_3' ) ), equalish( 'e_2', X
% 1.01/1.38 ), ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 1.01/1.38 0 ), ==>( 2, 2 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2322, [ equalish( 'e_2', 'e_1' ), ~( product1( 'e_4', 'e_2', 'e_1'
% 1.01/1.38 ) ), equalish( X, 'e_2' ), ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , clause( 516, [ equalish( 'e_2', X ), ~( product1( 'e_4', 'e_2', 'e_1' ) )
% 1.01/1.38 , ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , 2, clause( 181, [ equalish( X, 'e_2' ), ~( product1( 'e_3', 'e_4', X ) )
% 1.01/1.38 , product1( 'e_3', 'e_4', 'e_1' ) ] )
% 1.01/1.38 , 2, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [ :=( X, X )] )
% 1.01/1.38 ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2323, [ ~( product1( 'e_4', 'e_2', 'e_1' ) ), equalish( X, 'e_2' )
% 1.01/1.38 , ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , clause( 9, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 1.01/1.38 , 0, clause( 2322, [ equalish( 'e_2', 'e_1' ), ~( product1( 'e_4', 'e_2',
% 1.01/1.38 'e_1' ) ), equalish( X, 'e_2' ), ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 532, [ equalish( X, 'e_2' ), ~( product1( 'e_3', 'e_4', X ) ), ~(
% 1.01/1.38 product1( 'e_4', 'e_2', 'e_1' ) ) ] )
% 1.01/1.38 , clause( 2323, [ ~( product1( 'e_4', 'e_2', 'e_1' ) ), equalish( X, 'e_2'
% 1.01/1.38 ), ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 1.01/1.38 0 ), ==>( 2, 1 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2324, [ equalish( X, 'e_2' ), ~( product1( 'e_3', 'e_4', X ) ),
% 1.01/1.38 equalish( 'e_1', Y ), ~( product1( 'e_4', 'e_3', Y ) ) ] )
% 1.01/1.38 , clause( 532, [ equalish( X, 'e_2' ), ~( product1( 'e_3', 'e_4', X ) ),
% 1.01/1.38 ~( product1( 'e_4', 'e_2', 'e_1' ) ) ] )
% 1.01/1.38 , 2, clause( 447, [ equalish( 'e_1', X ), ~( product1( 'e_4', 'e_3', X ) )
% 1.01/1.38 , product1( 'e_4', 'e_2', 'e_1' ) ] )
% 1.01/1.38 , 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y )] )
% 1.01/1.38 ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 535, [ equalish( X, 'e_2' ), equalish( 'e_1', Y ), ~( product1(
% 1.01/1.38 'e_4', 'e_3', Y ) ), ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , clause( 2324, [ equalish( X, 'e_2' ), ~( product1( 'e_3', 'e_4', X ) ),
% 1.01/1.38 equalish( 'e_1', Y ), ~( product1( 'e_4', 'e_3', Y ) ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.01/1.38 ), ==>( 1, 3 ), ==>( 2, 1 ), ==>( 3, 2 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2326, [ equalish( 'e_1', 'e_2' ), ~( product1( 'e_1', 'e_4', 'e_4'
% 1.01/1.38 ) ), equalish( X, 'e_2' ), ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , clause( 154, [ equalish( X, 'e_2' ), ~( product1( 'e_1', 'e_4', 'e_4' ) )
% 1.01/1.38 , ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 , 2, clause( 523, [ equalish( X, 'e_2' ), ~( product1( 'e_3', 'e_4', X ) )
% 1.01/1.38 , product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.38 , 2, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [ :=( X, X )] )
% 1.01/1.38 ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2329, [ ~( product1( 'e_1', 'e_4', 'e_4' ) ), equalish( X, 'e_2' )
% 1.01/1.38 , ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , clause( 6, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 1.01/1.38 , 0, clause( 2326, [ equalish( 'e_1', 'e_2' ), ~( product1( 'e_1', 'e_4',
% 1.01/1.38 'e_4' ) ), equalish( X, 'e_2' ), ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 540, [ equalish( X, 'e_2' ), ~( product1( 'e_1', 'e_4', 'e_4' ) ),
% 1.01/1.38 ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , clause( 2329, [ ~( product1( 'e_1', 'e_4', 'e_4' ) ), equalish( X, 'e_2'
% 1.01/1.38 ), ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 1.01/1.38 0 ), ==>( 2, 2 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2330, [ equalish( 'e_1', 'e_2' ), ~( product1( 'e_1', 'e_4', 'e_3'
% 1.01/1.38 ) ), equalish( X, 'e_2' ), ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , clause( 152, [ equalish( X, 'e_2' ), ~( product1( 'e_1', 'e_4', 'e_3' ) )
% 1.01/1.38 , ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.38 , 2, clause( 523, [ equalish( X, 'e_2' ), ~( product1( 'e_3', 'e_4', X ) )
% 1.01/1.38 , product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.38 , 2, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [ :=( X, X )] )
% 1.01/1.38 ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2333, [ ~( product1( 'e_1', 'e_4', 'e_3' ) ), equalish( X, 'e_2' )
% 1.01/1.38 , ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , clause( 6, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 1.01/1.38 , 0, clause( 2330, [ equalish( 'e_1', 'e_2' ), ~( product1( 'e_1', 'e_4',
% 1.01/1.38 'e_3' ) ), equalish( X, 'e_2' ), ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 542, [ equalish( X, 'e_2' ), ~( product1( 'e_1', 'e_4', 'e_3' ) ),
% 1.01/1.38 ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , clause( 2333, [ ~( product1( 'e_1', 'e_4', 'e_3' ) ), equalish( X, 'e_2'
% 1.01/1.38 ), ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 1.01/1.38 0 ), ==>( 2, 2 )] ) ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2334, [ equalish( 'e_1', 'e_2' ), ~( product1( 'e_1', 'e_4', 'e_4'
% 1.01/1.38 ) ), ~( product1( 'e_4', 'e_3', 'e_1' ) ) ] )
% 1.01/1.38 , clause( 540, [ equalish( X, 'e_2' ), ~( product1( 'e_1', 'e_4', 'e_4' ) )
% 1.01/1.38 , ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.38 , 2, clause( 405, [ ~( product1( 'e_4', 'e_3', 'e_1' ) ), product1( 'e_3',
% 1.01/1.38 'e_4', 'e_1' ) ] )
% 1.01/1.38 , 1, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2335, [ ~( product1( 'e_1', 'e_4', 'e_4' ) ), ~( product1( 'e_4',
% 1.01/1.38 'e_3', 'e_1' ) ) ] )
% 1.01/1.38 , clause( 6, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 1.01/1.38 , 0, clause( 2334, [ equalish( 'e_1', 'e_2' ), ~( product1( 'e_1', 'e_4',
% 1.01/1.38 'e_4' ) ), ~( product1( 'e_4', 'e_3', 'e_1' ) ) ] )
% 1.01/1.38 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 subsumption(
% 1.01/1.38 clause( 545, [ ~( product1( 'e_4', 'e_3', 'e_1' ) ), ~( product1( 'e_1',
% 1.01/1.38 'e_4', 'e_4' ) ) ] )
% 1.01/1.38 , clause( 2335, [ ~( product1( 'e_1', 'e_4', 'e_4' ) ), ~( product1( 'e_4'
% 1.01/1.38 , 'e_3', 'e_1' ) ) ] )
% 1.01/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 1.01/1.38 ).
% 1.01/1.38
% 1.01/1.38
% 1.01/1.38 resolution(
% 1.01/1.38 clause( 2336, [ ~( product1( 'e_1', 'e_4', 'e_4' ) ), ~( product1( 'e_1',
% 1.01/1.38 'e_4', 'e_4' ) ) ] )
% 1.01/1.38 , clause( 545, [ ~( product1( 'e_4', 'e_3', 'e_1' ) ), ~( product1( 'e_1',
% 1.01/1.39 'e_4', 'e_4' ) ) ] )
% 1.01/1.39 , 0, clause( 479, [ product1( 'e_4', 'e_3', 'e_1' ), ~( product1( 'e_1',
% 1.01/1.39 'e_4', 'e_4' ) ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 factor(
% 1.01/1.39 clause( 2337, [ ~( product1( 'e_1', 'e_4', 'e_4' ) ) ] )
% 1.01/1.39 , clause( 2336, [ ~( product1( 'e_1', 'e_4', 'e_4' ) ), ~( product1( 'e_1'
% 1.01/1.39 , 'e_4', 'e_4' ) ) ] )
% 1.01/1.39 , 0, 1, substitution( 0, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 546, [ ~( product1( 'e_1', 'e_4', 'e_4' ) ) ] )
% 1.01/1.39 , clause( 2337, [ ~( product1( 'e_1', 'e_4', 'e_4' ) ) ] )
% 1.01/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2338, [ ~( 'group_element'( 'e_1' ) ), ~( 'group_element'( 'e_4' )
% 1.01/1.39 ), product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ),
% 1.01/1.39 product1( 'e_1', 'e_4', 'e_3' ) ] )
% 1.01/1.39 , clause( 546, [ ~( product1( 'e_1', 'e_4', 'e_4' ) ) ] )
% 1.01/1.39 , 0, clause( 18, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 1.01/1.39 product1( X, Y, 'e_1' ), product1( X, Y, 'e_2' ), product1( X, Y, 'e_3' )
% 1.01/1.39 , product1( X, Y, 'e_4' ) ] )
% 1.01/1.39 , 5, substitution( 0, [] ), substitution( 1, [ :=( X, 'e_1' ), :=( Y, 'e_4'
% 1.01/1.39 )] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2339, [ ~( 'group_element'( 'e_4' ) ), product1( 'e_1', 'e_4',
% 1.01/1.39 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ), product1( 'e_1', 'e_4', 'e_3' )
% 1.01/1.39 ] )
% 1.01/1.39 , clause( 2338, [ ~( 'group_element'( 'e_1' ) ), ~( 'group_element'( 'e_4'
% 1.01/1.39 ) ), product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ),
% 1.01/1.39 product1( 'e_1', 'e_4', 'e_3' ) ] )
% 1.01/1.39 , 0, clause( 2, [ 'group_element'( 'e_1' ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 547, [ ~( 'group_element'( 'e_4' ) ), product1( 'e_1', 'e_4', 'e_1'
% 1.01/1.39 ), product1( 'e_1', 'e_4', 'e_2' ), product1( 'e_1', 'e_4', 'e_3' ) ] )
% 1.01/1.39 , clause( 2339, [ ~( 'group_element'( 'e_4' ) ), product1( 'e_1', 'e_4',
% 1.01/1.39 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ), product1( 'e_1', 'e_4', 'e_3' )
% 1.01/1.39 ] )
% 1.01/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 1.01/1.39 , 2 ), ==>( 3, 3 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2340, [ equalish( 'e_1', 'e_2' ), ~( product1( 'e_1', 'e_4', 'e_3'
% 1.01/1.39 ) ), ~( product1( 'e_4', 'e_3', 'e_1' ) ) ] )
% 1.01/1.39 , clause( 542, [ equalish( X, 'e_2' ), ~( product1( 'e_1', 'e_4', 'e_3' ) )
% 1.01/1.39 , ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.39 , 2, clause( 405, [ ~( product1( 'e_4', 'e_3', 'e_1' ) ), product1( 'e_3',
% 1.01/1.39 'e_4', 'e_1' ) ] )
% 1.01/1.39 , 1, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2341, [ ~( product1( 'e_1', 'e_4', 'e_3' ) ), ~( product1( 'e_4',
% 1.01/1.39 'e_3', 'e_1' ) ) ] )
% 1.01/1.39 , clause( 6, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 1.01/1.39 , 0, clause( 2340, [ equalish( 'e_1', 'e_2' ), ~( product1( 'e_1', 'e_4',
% 1.01/1.39 'e_3' ) ), ~( product1( 'e_4', 'e_3', 'e_1' ) ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 549, [ ~( product1( 'e_4', 'e_3', 'e_1' ) ), ~( product1( 'e_1',
% 1.01/1.39 'e_4', 'e_3' ) ) ] )
% 1.01/1.39 , clause( 2341, [ ~( product1( 'e_1', 'e_4', 'e_3' ) ), ~( product1( 'e_4'
% 1.01/1.39 , 'e_3', 'e_1' ) ) ] )
% 1.01/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 1.01/1.39 ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2342, [ equalish( X, 'e_1' ), ~( product1( 'e_3', 'e_4', X ) ),
% 1.01/1.39 equalish( 'e_1', Y ), ~( product1( 'e_2', 'e_4', Y ) ) ] )
% 1.01/1.39 , clause( 417, [ equalish( X, 'e_1' ), ~( product1( 'e_3', 'e_4', X ) ),
% 1.01/1.39 ~( product1( 'e_4', 'e_3', 'e_1' ) ) ] )
% 1.01/1.39 , 2, clause( 434, [ equalish( 'e_1', X ), ~( product1( 'e_2', 'e_4', X ) )
% 1.01/1.39 , product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.39 , 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y )] )
% 1.01/1.39 ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 604, [ equalish( 'e_1', X ), equalish( Y, 'e_1' ), ~( product1(
% 1.01/1.39 'e_3', 'e_4', Y ) ), ~( product1( 'e_2', 'e_4', X ) ) ] )
% 1.01/1.39 , clause( 2342, [ equalish( X, 'e_1' ), ~( product1( 'e_3', 'e_4', X ) ),
% 1.01/1.39 equalish( 'e_1', Y ), ~( product1( 'e_2', 'e_4', Y ) ) ] )
% 1.01/1.39 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 1.01/1.39 ), ==>( 1, 2 ), ==>( 2, 0 ), ==>( 3, 3 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2344, [ equalish( 'e_1', X ), ~( product1( 'e_3', 'e_4', X ) ),
% 1.01/1.39 equalish( 'e_1', Y ), ~( product1( 'e_2', 'e_4', Y ) ) ] )
% 1.01/1.39 , clause( 416, [ equalish( 'e_1', X ), ~( product1( 'e_3', 'e_4', X ) ),
% 1.01/1.39 ~( product1( 'e_4', 'e_3', 'e_1' ) ) ] )
% 1.01/1.39 , 2, clause( 434, [ equalish( 'e_1', X ), ~( product1( 'e_2', 'e_4', X ) )
% 1.01/1.39 , product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.39 , 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y )] )
% 1.01/1.39 ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 605, [ equalish( 'e_1', X ), equalish( 'e_1', Y ), ~( product1(
% 1.01/1.39 'e_3', 'e_4', Y ) ), ~( product1( 'e_2', 'e_4', X ) ) ] )
% 1.01/1.39 , clause( 2344, [ equalish( 'e_1', X ), ~( product1( 'e_3', 'e_4', X ) ),
% 1.01/1.39 equalish( 'e_1', Y ), ~( product1( 'e_2', 'e_4', Y ) ) ] )
% 1.01/1.39 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 1.01/1.39 ), ==>( 1, 2 ), ==>( 2, 0 ), ==>( 3, 3 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 factor(
% 1.01/1.39 clause( 2346, [ equalish( 'e_1', X ), ~( product1( 'e_3', 'e_4', X ) ), ~(
% 1.01/1.39 product1( 'e_2', 'e_4', X ) ) ] )
% 1.01/1.39 , clause( 605, [ equalish( 'e_1', X ), equalish( 'e_1', Y ), ~( product1(
% 1.01/1.39 'e_3', 'e_4', Y ) ), ~( product1( 'e_2', 'e_4', X ) ) ] )
% 1.01/1.39 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, X )] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 612, [ equalish( 'e_1', X ), ~( product1( 'e_2', 'e_4', X ) ), ~(
% 1.01/1.39 product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.39 , clause( 2346, [ equalish( 'e_1', X ), ~( product1( 'e_3', 'e_4', X ) ),
% 1.01/1.39 ~( product1( 'e_2', 'e_4', X ) ) ] )
% 1.01/1.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.01/1.39 2 ), ==>( 2, 1 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2348, [ equalish( 'e_1', 'e_2' ), ~( product1( 'e_2', 'e_4', 'e_2'
% 1.01/1.39 ) ), product1( 'e_3', 'e_4', 'e_1' ) ] )
% 1.01/1.39 , clause( 612, [ equalish( 'e_1', X ), ~( product1( 'e_2', 'e_4', X ) ),
% 1.01/1.39 ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.39 , 2, clause( 169, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4'
% 1.01/1.39 , 'e_2' ) ] )
% 1.01/1.39 , 1, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2349, [ ~( product1( 'e_2', 'e_4', 'e_2' ) ), product1( 'e_3',
% 1.01/1.39 'e_4', 'e_1' ) ] )
% 1.01/1.39 , clause( 6, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 1.01/1.39 , 0, clause( 2348, [ equalish( 'e_1', 'e_2' ), ~( product1( 'e_2', 'e_4',
% 1.01/1.39 'e_2' ) ), product1( 'e_3', 'e_4', 'e_1' ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 621, [ product1( 'e_3', 'e_4', 'e_1' ), ~( product1( 'e_2', 'e_4',
% 1.01/1.39 'e_2' ) ) ] )
% 1.01/1.39 , clause( 2349, [ ~( product1( 'e_2', 'e_4', 'e_2' ) ), product1( 'e_3',
% 1.01/1.39 'e_4', 'e_1' ) ] )
% 1.01/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 1.01/1.39 ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2350, [ equalish( 'e_1', 'e_2' ), ~( product1( 'e_1', 'e_4', 'e_3'
% 1.01/1.39 ) ), equalish( X, 'e_1' ), ~( product1( 'e_2', 'e_4', X ) ) ] )
% 1.01/1.39 , clause( 152, [ equalish( X, 'e_2' ), ~( product1( 'e_1', 'e_4', 'e_3' ) )
% 1.01/1.39 , ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.39 , 2, clause( 435, [ equalish( X, 'e_1' ), ~( product1( 'e_2', 'e_4', X ) )
% 1.01/1.39 , product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.39 , 2, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [ :=( X, X )] )
% 1.01/1.39 ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2351, [ ~( product1( 'e_1', 'e_4', 'e_3' ) ), equalish( X, 'e_1' )
% 1.01/1.39 , ~( product1( 'e_2', 'e_4', X ) ) ] )
% 1.01/1.39 , clause( 6, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 1.01/1.39 , 0, clause( 2350, [ equalish( 'e_1', 'e_2' ), ~( product1( 'e_1', 'e_4',
% 1.01/1.39 'e_3' ) ), equalish( X, 'e_1' ), ~( product1( 'e_2', 'e_4', X ) ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 638, [ equalish( X, 'e_1' ), ~( product1( 'e_1', 'e_4', 'e_3' ) ),
% 1.01/1.39 ~( product1( 'e_2', 'e_4', X ) ) ] )
% 1.01/1.39 , clause( 2351, [ ~( product1( 'e_1', 'e_4', 'e_3' ) ), equalish( X, 'e_1'
% 1.01/1.39 ), ~( product1( 'e_2', 'e_4', X ) ) ] )
% 1.01/1.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 1.01/1.39 0 ), ==>( 2, 2 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2353, [ equalish( 'e_1', X ), equalish( 'e_2', 'e_1' ), ~( product1(
% 1.01/1.39 'e_2', 'e_4', X ) ), product1( 'e_3', 'e_4', 'e_1' ) ] )
% 1.01/1.39 , clause( 604, [ equalish( 'e_1', X ), equalish( Y, 'e_1' ), ~( product1(
% 1.01/1.39 'e_3', 'e_4', Y ) ), ~( product1( 'e_2', 'e_4', X ) ) ] )
% 1.01/1.39 , 2, clause( 169, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4'
% 1.01/1.39 , 'e_2' ) ] )
% 1.01/1.39 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'e_2' )] ), substitution( 1, [] )
% 1.01/1.39 ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2355, [ equalish( 'e_1', X ), ~( product1( 'e_2', 'e_4', X ) ),
% 1.01/1.39 product1( 'e_3', 'e_4', 'e_1' ) ] )
% 1.01/1.39 , clause( 9, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 1.01/1.39 , 0, clause( 2353, [ equalish( 'e_1', X ), equalish( 'e_2', 'e_1' ), ~(
% 1.01/1.39 product1( 'e_2', 'e_4', X ) ), product1( 'e_3', 'e_4', 'e_1' ) ] )
% 1.01/1.39 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 670, [ equalish( 'e_1', X ), product1( 'e_3', 'e_4', 'e_1' ), ~(
% 1.01/1.39 product1( 'e_2', 'e_4', X ) ) ] )
% 1.01/1.39 , clause( 2355, [ equalish( 'e_1', X ), ~( product1( 'e_2', 'e_4', X ) ),
% 1.01/1.39 product1( 'e_3', 'e_4', 'e_1' ) ] )
% 1.01/1.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.01/1.39 2 ), ==>( 2, 1 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2357, [ equalish( 'e_2', 'e_1' ), equalish( X, 'e_2' ), ~( product1(
% 1.01/1.39 'e_4', 'e_3', X ) ), product1( 'e_3', 'e_4', 'e_1' ) ] )
% 1.01/1.39 , clause( 421, [ equalish( X, 'e_1' ), equalish( Y, 'e_2' ), ~( product1(
% 1.01/1.39 'e_4', 'e_3', Y ) ), ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.39 , 3, clause( 169, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4'
% 1.01/1.39 , 'e_2' ) ] )
% 1.01/1.39 , 1, substitution( 0, [ :=( X, 'e_2' ), :=( Y, X )] ), substitution( 1, [] )
% 1.01/1.39 ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2358, [ equalish( X, 'e_2' ), ~( product1( 'e_4', 'e_3', X ) ),
% 1.01/1.39 product1( 'e_3', 'e_4', 'e_1' ) ] )
% 1.01/1.39 , clause( 9, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 1.01/1.39 , 0, clause( 2357, [ equalish( 'e_2', 'e_1' ), equalish( X, 'e_2' ), ~(
% 1.01/1.39 product1( 'e_4', 'e_3', X ) ), product1( 'e_3', 'e_4', 'e_1' ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 732, [ equalish( X, 'e_2' ), product1( 'e_3', 'e_4', 'e_1' ), ~(
% 1.01/1.39 product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.39 , clause( 2358, [ equalish( X, 'e_2' ), ~( product1( 'e_4', 'e_3', X ) ),
% 1.01/1.39 product1( 'e_3', 'e_4', 'e_1' ) ] )
% 1.01/1.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.01/1.39 2 ), ==>( 2, 1 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2359, [ product1( 'e_4', 'e_1', 'e_1' ), product1( 'e_4', 'e_2',
% 1.01/1.39 'e_1' ), product1( 'e_4', 'e_1', 'e_2' ) ] )
% 1.01/1.39 , clause( 15, [ ~( equalish( 'e_4', 'e_1' ) ) ] )
% 1.01/1.39 , 0, clause( 300, [ equalish( 'e_4', 'e_1' ), product1( 'e_4', 'e_1', 'e_1'
% 1.01/1.39 ), product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_1', 'e_2' ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2360, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_1',
% 1.01/1.39 'e_2' ) ] )
% 1.01/1.39 , clause( 446, [ ~( product1( 'e_4', 'e_1', 'e_1' ) ) ] )
% 1.01/1.39 , 0, clause( 2359, [ product1( 'e_4', 'e_1', 'e_1' ), product1( 'e_4',
% 1.01/1.39 'e_2', 'e_1' ), product1( 'e_4', 'e_1', 'e_2' ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 791, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_1',
% 1.01/1.39 'e_2' ) ] )
% 1.01/1.39 , clause( 2360, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_1',
% 1.01/1.39 'e_2' ) ] )
% 1.01/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.01/1.39 ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2362, [ equalish( 'e_2', X ), ~( product1( 'e_4', 'e_1', X ) ),
% 1.01/1.39 product1( 'e_4', 'e_2', 'e_1' ) ] )
% 1.01/1.39 , clause( 19, [ equalish( Z, T ), ~( product1( X, Y, Z ) ), ~( product1( X
% 1.01/1.39 , Y, T ) ) ] )
% 1.01/1.39 , 1, clause( 791, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_1'
% 1.01/1.39 , 'e_2' ) ] )
% 1.01/1.39 , 1, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_1' ), :=( Z, 'e_2' ),
% 1.01/1.39 :=( T, X )] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 800, [ equalish( 'e_2', X ), ~( product1( 'e_4', 'e_1', X ) ),
% 1.01/1.39 product1( 'e_4', 'e_2', 'e_1' ) ] )
% 1.01/1.39 , clause( 2362, [ equalish( 'e_2', X ), ~( product1( 'e_4', 'e_1', X ) ),
% 1.01/1.39 product1( 'e_4', 'e_2', 'e_1' ) ] )
% 1.01/1.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.01/1.39 1 ), ==>( 2, 2 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2366, [ equalish( 'e_2', 'e_4' ), ~( product1( 'e_1', 'e_4', 'e_2'
% 1.01/1.39 ) ), equalish( 'e_2', X ), ~( product1( 'e_4', 'e_1', X ) ) ] )
% 1.01/1.39 , clause( 84, [ equalish( X, Y ), ~( product1( Z, Y, X ) ), ~( product1( Y
% 1.01/1.39 , X, Z ) ) ] )
% 1.01/1.39 , 2, clause( 800, [ equalish( 'e_2', X ), ~( product1( 'e_4', 'e_1', X ) )
% 1.01/1.39 , product1( 'e_4', 'e_2', 'e_1' ) ] )
% 1.01/1.39 , 2, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_4' ), :=( Z, 'e_1' )] ),
% 1.01/1.39 substitution( 1, [ :=( X, X )] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2369, [ ~( product1( 'e_1', 'e_4', 'e_2' ) ), equalish( 'e_2', X )
% 1.01/1.39 , ~( product1( 'e_4', 'e_1', X ) ) ] )
% 1.01/1.39 , clause( 11, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 1.01/1.39 , 0, clause( 2366, [ equalish( 'e_2', 'e_4' ), ~( product1( 'e_1', 'e_4',
% 1.01/1.39 'e_2' ) ), equalish( 'e_2', X ), ~( product1( 'e_4', 'e_1', X ) ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 819, [ equalish( 'e_2', X ), ~( product1( 'e_1', 'e_4', 'e_2' ) ),
% 1.01/1.39 ~( product1( 'e_4', 'e_1', X ) ) ] )
% 1.01/1.39 , clause( 2369, [ ~( product1( 'e_1', 'e_4', 'e_2' ) ), equalish( 'e_2', X
% 1.01/1.39 ), ~( product1( 'e_4', 'e_1', X ) ) ] )
% 1.01/1.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 1.01/1.39 0 ), ==>( 2, 2 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2370, [ ~( 'group_element'( 'e_1' ) ), equalish( 'e_1', 'e_4' ),
% 1.01/1.39 ~( product1( 'e_2', 'e_4', 'e_1' ) ), ~( product1( 'e_3', 'e_4', 'e_1' )
% 1.01/1.39 ) ] )
% 1.01/1.39 , clause( 446, [ ~( product1( 'e_4', 'e_1', 'e_1' ) ) ] )
% 1.01/1.39 , 0, clause( 313, [ ~( 'group_element'( X ) ), equalish( X, 'e_4' ), ~(
% 1.01/1.39 product1( 'e_2', 'e_4', X ) ), ~( product1( 'e_3', 'e_4', X ) ), product1(
% 1.01/1.39 'e_4', X, 'e_1' ) ] )
% 1.01/1.39 , 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'e_1' )] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2371, [ equalish( 'e_1', 'e_4' ), ~( product1( 'e_2', 'e_4', 'e_1'
% 1.01/1.39 ) ), ~( product1( 'e_3', 'e_4', 'e_1' ) ) ] )
% 1.01/1.39 , clause( 2370, [ ~( 'group_element'( 'e_1' ) ), equalish( 'e_1', 'e_4' ),
% 1.01/1.39 ~( product1( 'e_2', 'e_4', 'e_1' ) ), ~( product1( 'e_3', 'e_4', 'e_1' )
% 1.01/1.39 ) ] )
% 1.01/1.39 , 0, clause( 2, [ 'group_element'( 'e_1' ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 826, [ equalish( 'e_1', 'e_4' ), ~( product1( 'e_2', 'e_4', 'e_1' )
% 1.01/1.39 ), ~( product1( 'e_3', 'e_4', 'e_1' ) ) ] )
% 1.01/1.39 , clause( 2371, [ equalish( 'e_1', 'e_4' ), ~( product1( 'e_2', 'e_4',
% 1.01/1.39 'e_1' ) ), ~( product1( 'e_3', 'e_4', 'e_1' ) ) ] )
% 1.01/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 1.01/1.39 , 2 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2374, [ equalish( 'e_2', 'e_3' ), ~( product1( 'e_1', 'e_4', 'e_2'
% 1.01/1.39 ) ), ~( 'group_element'( 'e_1' ) ), equalish( 'e_1', 'e_4' ), product1(
% 1.01/1.39 'e_4', 'e_1', 'e_1' ), product1( 'e_4', 'e_1', 'e_2' ) ] )
% 1.01/1.39 , clause( 819, [ equalish( 'e_2', X ), ~( product1( 'e_1', 'e_4', 'e_2' ) )
% 1.01/1.39 , ~( product1( 'e_4', 'e_1', X ) ) ] )
% 1.01/1.39 , 2, clause( 50, [ ~( 'group_element'( X ) ), equalish( X, 'e_4' ),
% 1.01/1.39 product1( 'e_4', X, 'e_1' ), product1( 'e_4', X, 'e_2' ), product1( 'e_4'
% 1.01/1.39 , X, 'e_3' ) ] )
% 1.01/1.39 , 4, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [ :=( X, 'e_1'
% 1.01/1.39 )] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2375, [ ~( product1( 'e_1', 'e_4', 'e_2' ) ), ~( 'group_element'(
% 1.01/1.39 'e_1' ) ), equalish( 'e_1', 'e_4' ), product1( 'e_4', 'e_1', 'e_1' ),
% 1.01/1.39 product1( 'e_4', 'e_1', 'e_2' ) ] )
% 1.01/1.39 , clause( 10, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 1.01/1.39 , 0, clause( 2374, [ equalish( 'e_2', 'e_3' ), ~( product1( 'e_1', 'e_4',
% 1.01/1.39 'e_2' ) ), ~( 'group_element'( 'e_1' ) ), equalish( 'e_1', 'e_4' ),
% 1.01/1.39 product1( 'e_4', 'e_1', 'e_1' ), product1( 'e_4', 'e_1', 'e_2' ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 832, [ ~( 'group_element'( 'e_1' ) ), equalish( 'e_1', 'e_4' ),
% 1.01/1.39 product1( 'e_4', 'e_1', 'e_1' ), product1( 'e_4', 'e_1', 'e_2' ), ~(
% 1.01/1.39 product1( 'e_1', 'e_4', 'e_2' ) ) ] )
% 1.01/1.39 , clause( 2375, [ ~( product1( 'e_1', 'e_4', 'e_2' ) ), ~( 'group_element'(
% 1.01/1.39 'e_1' ) ), equalish( 'e_1', 'e_4' ), product1( 'e_4', 'e_1', 'e_1' ),
% 1.01/1.39 product1( 'e_4', 'e_1', 'e_2' ) ] )
% 1.01/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 4 ), ==>( 1, 0 ), ==>( 2
% 1.01/1.39 , 1 ), ==>( 3, 2 ), ==>( 4, 3 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2376, [ ~( product1( 'e_2', 'e_4', 'e_1' ) ), ~( product1( 'e_3',
% 1.01/1.39 'e_4', 'e_1' ) ) ] )
% 1.01/1.39 , clause( 8, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 1.01/1.39 , 0, clause( 826, [ equalish( 'e_1', 'e_4' ), ~( product1( 'e_2', 'e_4',
% 1.01/1.39 'e_1' ) ), ~( product1( 'e_3', 'e_4', 'e_1' ) ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 864, [ ~( product1( 'e_2', 'e_4', 'e_1' ) ), ~( product1( 'e_3',
% 1.01/1.39 'e_4', 'e_1' ) ) ] )
% 1.01/1.39 , clause( 2376, [ ~( product1( 'e_2', 'e_4', 'e_1' ) ), ~( product1( 'e_3'
% 1.01/1.39 , 'e_4', 'e_1' ) ) ] )
% 1.01/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.01/1.39 ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2377, [ ~( product1( 'e_2', 'e_4', 'e_1' ) ), equalish( X, 'e_2' )
% 1.01/1.39 , ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.39 , clause( 864, [ ~( product1( 'e_2', 'e_4', 'e_1' ) ), ~( product1( 'e_3',
% 1.01/1.39 'e_4', 'e_1' ) ) ] )
% 1.01/1.39 , 1, clause( 732, [ equalish( X, 'e_2' ), product1( 'e_3', 'e_4', 'e_1' ),
% 1.01/1.39 ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.39 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 872, [ equalish( X, 'e_2' ), ~( product1( 'e_4', 'e_3', X ) ), ~(
% 1.01/1.39 product1( 'e_2', 'e_4', 'e_1' ) ) ] )
% 1.01/1.39 , clause( 2377, [ ~( product1( 'e_2', 'e_4', 'e_1' ) ), equalish( X, 'e_2'
% 1.01/1.39 ), ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 1.01/1.39 0 ), ==>( 2, 1 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2378, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4',
% 1.01/1.39 'e_2' ), product1( 'e_1', 'e_4', 'e_3' ) ] )
% 1.01/1.39 , clause( 547, [ ~( 'group_element'( 'e_4' ) ), product1( 'e_1', 'e_4',
% 1.01/1.39 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ), product1( 'e_1', 'e_4', 'e_3' )
% 1.01/1.39 ] )
% 1.01/1.39 , 0, clause( 5, [ 'group_element'( 'e_4' ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 902, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4',
% 1.01/1.39 'e_2' ), product1( 'e_1', 'e_4', 'e_3' ) ] )
% 1.01/1.39 , clause( 2378, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4',
% 1.01/1.39 'e_2' ), product1( 'e_1', 'e_4', 'e_3' ) ] )
% 1.01/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 1.01/1.39 , 2 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2379, [ equalish( X, 'e_1' ), ~( product1( 'e_2', 'e_4', X ) ),
% 1.01/1.39 product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 1.01/1.39 , clause( 638, [ equalish( X, 'e_1' ), ~( product1( 'e_1', 'e_4', 'e_3' ) )
% 1.01/1.39 , ~( product1( 'e_2', 'e_4', X ) ) ] )
% 1.01/1.39 , 1, clause( 902, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4'
% 1.01/1.39 , 'e_2' ), product1( 'e_1', 'e_4', 'e_3' ) ] )
% 1.01/1.39 , 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 909, [ product1( 'e_1', 'e_4', 'e_1' ), equalish( X, 'e_1' ), ~(
% 1.01/1.39 product1( 'e_2', 'e_4', X ) ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 1.01/1.39 , clause( 2379, [ equalish( X, 'e_1' ), ~( product1( 'e_2', 'e_4', X ) ),
% 1.01/1.39 product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 1.01/1.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 1.01/1.39 2 ), ==>( 2, 0 ), ==>( 3, 3 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2380, [ equalish( 'e_2', X ), ~( product1( 'e_3', 'e_4', X ) ),
% 1.01/1.39 product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 1.01/1.39 , clause( 527, [ equalish( 'e_2', X ), ~( product1( 'e_1', 'e_4', 'e_3' ) )
% 1.01/1.39 , ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.39 , 1, clause( 902, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4'
% 1.01/1.39 , 'e_2' ), product1( 'e_1', 'e_4', 'e_3' ) ] )
% 1.01/1.39 , 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 913, [ product1( 'e_1', 'e_4', 'e_1' ), equalish( 'e_2', X ), ~(
% 1.01/1.39 product1( 'e_3', 'e_4', X ) ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 1.01/1.39 , clause( 2380, [ equalish( 'e_2', X ), ~( product1( 'e_3', 'e_4', X ) ),
% 1.01/1.39 product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 1.01/1.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 1.01/1.39 2 ), ==>( 2, 0 ), ==>( 3, 3 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2381, [ ~( product1( 'e_4', 'e_3', 'e_1' ) ), product1( 'e_1',
% 1.01/1.39 'e_4', 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 1.01/1.39 , clause( 549, [ ~( product1( 'e_4', 'e_3', 'e_1' ) ), ~( product1( 'e_1',
% 1.01/1.39 'e_4', 'e_3' ) ) ] )
% 1.01/1.39 , 1, clause( 902, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4'
% 1.01/1.39 , 'e_2' ), product1( 'e_1', 'e_4', 'e_3' ) ] )
% 1.01/1.39 , 2, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 914, [ product1( 'e_1', 'e_4', 'e_1' ), ~( product1( 'e_4', 'e_3',
% 1.01/1.39 'e_1' ) ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 1.01/1.39 , clause( 2381, [ ~( product1( 'e_4', 'e_3', 'e_1' ) ), product1( 'e_1',
% 1.01/1.39 'e_4', 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 1.01/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 1.01/1.39 , 2 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2384, [ equalish( 'e_4', X ), ~( product1( 'e_1', X, 'e_3' ) ),
% 1.01/1.39 product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 1.01/1.39 , clause( 20, [ equalish( Y, T ), ~( product1( X, Y, Z ) ), ~( product1( X
% 1.01/1.39 , T, Z ) ) ] )
% 1.01/1.39 , 1, clause( 902, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4'
% 1.01/1.39 , 'e_2' ), product1( 'e_1', 'e_4', 'e_3' ) ] )
% 1.01/1.39 , 2, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_4' ), :=( Z, 'e_3' ),
% 1.01/1.39 :=( T, X )] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 923, [ product1( 'e_1', 'e_4', 'e_1' ), equalish( 'e_4', X ),
% 1.01/1.39 product1( 'e_1', 'e_4', 'e_2' ), ~( product1( 'e_1', X, 'e_3' ) ) ] )
% 1.01/1.39 , clause( 2384, [ equalish( 'e_4', X ), ~( product1( 'e_1', X, 'e_3' ) ),
% 1.01/1.39 product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 1.01/1.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 1.01/1.39 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2390, [ equalish( 'e_3', X ), ~( product1( 'e_1', 'e_4', X ) ),
% 1.01/1.39 product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 1.01/1.39 , clause( 19, [ equalish( Z, T ), ~( product1( X, Y, Z ) ), ~( product1( X
% 1.01/1.39 , Y, T ) ) ] )
% 1.01/1.39 , 1, clause( 902, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4'
% 1.01/1.39 , 'e_2' ), product1( 'e_1', 'e_4', 'e_3' ) ] )
% 1.01/1.39 , 2, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_4' ), :=( Z, 'e_3' ),
% 1.01/1.39 :=( T, X )] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 925, [ product1( 'e_1', 'e_4', 'e_1' ), equalish( 'e_3', X ), ~(
% 1.01/1.39 product1( 'e_1', 'e_4', X ) ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 1.01/1.39 , clause( 2390, [ equalish( 'e_3', X ), ~( product1( 'e_1', 'e_4', X ) ),
% 1.01/1.39 product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 1.01/1.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 1.01/1.39 2 ), ==>( 2, 0 ), ==>( 3, 3 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2395, [ equalish( 'e_1', 'e_4' ), ~( product1( 'e_2', 'e_1', 'e_1'
% 1.01/1.39 ) ), product1( 'e_1', 'e_4', 'e_1' ), ~( product1( 'e_4', 'e_3', 'e_1' )
% 1.01/1.39 ) ] )
% 1.01/1.39 , clause( 77, [ equalish( X, Y ), ~( product1( X, Y, Z ) ), ~( product1( Z
% 1.01/1.39 , X, X ) ) ] )
% 1.01/1.39 , 1, clause( 914, [ product1( 'e_1', 'e_4', 'e_1' ), ~( product1( 'e_4',
% 1.01/1.39 'e_3', 'e_1' ) ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 1.01/1.39 , 2, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_4' ), :=( Z, 'e_2' )] ),
% 1.01/1.39 substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2396, [ equalish( 'e_1', 'e_4' ), equalish( 'e_1', 'e_4' ), ~(
% 1.01/1.39 product1( 'e_2', 'e_1', 'e_1' ) ), ~( product1( 'e_4', 'e_3', 'e_1' ) ) ]
% 1.01/1.39 )
% 1.01/1.39 , clause( 47, [ equalish( X, Y ), ~( product1( X, Y, X ) ) ] )
% 1.01/1.39 , 1, clause( 2395, [ equalish( 'e_1', 'e_4' ), ~( product1( 'e_2', 'e_1',
% 1.01/1.39 'e_1' ) ), product1( 'e_1', 'e_4', 'e_1' ), ~( product1( 'e_4', 'e_3',
% 1.01/1.39 'e_1' ) ) ] )
% 1.01/1.39 , 2, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_4' )] ), substitution( 1
% 1.01/1.39 , [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 factor(
% 1.01/1.39 clause( 2397, [ equalish( 'e_1', 'e_4' ), ~( product1( 'e_2', 'e_1', 'e_1'
% 1.01/1.39 ) ), ~( product1( 'e_4', 'e_3', 'e_1' ) ) ] )
% 1.01/1.39 , clause( 2396, [ equalish( 'e_1', 'e_4' ), equalish( 'e_1', 'e_4' ), ~(
% 1.01/1.39 product1( 'e_2', 'e_1', 'e_1' ) ), ~( product1( 'e_4', 'e_3', 'e_1' ) ) ]
% 1.01/1.39 )
% 1.01/1.39 , 0, 1, substitution( 0, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 928, [ equalish( 'e_1', 'e_4' ), ~( product1( 'e_2', 'e_1', 'e_1' )
% 1.01/1.39 ), ~( product1( 'e_4', 'e_3', 'e_1' ) ) ] )
% 1.01/1.39 , clause( 2397, [ equalish( 'e_1', 'e_4' ), ~( product1( 'e_2', 'e_1',
% 1.01/1.39 'e_1' ) ), ~( product1( 'e_4', 'e_3', 'e_1' ) ) ] )
% 1.01/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 1.01/1.39 , 2 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2401, [ equalish( 'e_4', 'e_1' ), ~( product1( 'e_2', 'e_1', 'e_4'
% 1.01/1.39 ) ), product1( 'e_1', 'e_4', 'e_1' ), ~( product1( 'e_4', 'e_3', 'e_1' )
% 1.01/1.39 ) ] )
% 1.01/1.39 , clause( 84, [ equalish( X, Y ), ~( product1( Z, Y, X ) ), ~( product1( Y
% 1.01/1.39 , X, Z ) ) ] )
% 1.01/1.39 , 2, clause( 914, [ product1( 'e_1', 'e_4', 'e_1' ), ~( product1( 'e_4',
% 1.01/1.39 'e_3', 'e_1' ) ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 1.01/1.39 , 2, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_1' ), :=( Z, 'e_2' )] ),
% 1.01/1.39 substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2403, [ equalish( 'e_4', 'e_1' ), equalish( 'e_4', 'e_1' ), ~(
% 1.01/1.39 product1( 'e_2', 'e_1', 'e_4' ) ), ~( product1( 'e_4', 'e_3', 'e_1' ) ) ]
% 1.01/1.39 )
% 1.01/1.39 , clause( 48, [ equalish( X, Y ), ~( product1( Y, X, Y ) ) ] )
% 1.01/1.39 , 1, clause( 2401, [ equalish( 'e_4', 'e_1' ), ~( product1( 'e_2', 'e_1',
% 1.01/1.39 'e_4' ) ), product1( 'e_1', 'e_4', 'e_1' ), ~( product1( 'e_4', 'e_3',
% 1.01/1.39 'e_1' ) ) ] )
% 1.01/1.39 , 2, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_1' )] ), substitution( 1
% 1.01/1.39 , [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 factor(
% 1.01/1.39 clause( 2404, [ equalish( 'e_4', 'e_1' ), ~( product1( 'e_2', 'e_1', 'e_4'
% 1.01/1.39 ) ), ~( product1( 'e_4', 'e_3', 'e_1' ) ) ] )
% 1.01/1.39 , clause( 2403, [ equalish( 'e_4', 'e_1' ), equalish( 'e_4', 'e_1' ), ~(
% 1.01/1.39 product1( 'e_2', 'e_1', 'e_4' ) ), ~( product1( 'e_4', 'e_3', 'e_1' ) ) ]
% 1.01/1.39 )
% 1.01/1.39 , 0, 1, substitution( 0, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 930, [ equalish( 'e_4', 'e_1' ), ~( product1( 'e_4', 'e_3', 'e_1' )
% 1.01/1.39 ), ~( product1( 'e_2', 'e_1', 'e_4' ) ) ] )
% 1.01/1.39 , clause( 2404, [ equalish( 'e_4', 'e_1' ), ~( product1( 'e_2', 'e_1',
% 1.01/1.39 'e_4' ) ), ~( product1( 'e_4', 'e_3', 'e_1' ) ) ] )
% 1.01/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2
% 1.01/1.39 , 1 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2405, [ ~( product1( 'e_2', 'e_1', 'e_1' ) ), ~( product1( 'e_4',
% 1.01/1.39 'e_3', 'e_1' ) ) ] )
% 1.01/1.39 , clause( 8, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 1.01/1.39 , 0, clause( 928, [ equalish( 'e_1', 'e_4' ), ~( product1( 'e_2', 'e_1',
% 1.01/1.39 'e_1' ) ), ~( product1( 'e_4', 'e_3', 'e_1' ) ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 938, [ ~( product1( 'e_2', 'e_1', 'e_1' ) ), ~( product1( 'e_4',
% 1.01/1.39 'e_3', 'e_1' ) ) ] )
% 1.01/1.39 , clause( 2405, [ ~( product1( 'e_2', 'e_1', 'e_1' ) ), ~( product1( 'e_4'
% 1.01/1.39 , 'e_3', 'e_1' ) ) ] )
% 1.01/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.01/1.39 ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2406, [ ~( product1( 'e_2', 'e_1', 'e_1' ) ), equalish( 'e_4', X )
% 1.01/1.39 , ~( product1( 'e_2', X, 'e_1' ) ) ] )
% 1.01/1.39 , clause( 938, [ ~( product1( 'e_2', 'e_1', 'e_1' ) ), ~( product1( 'e_4',
% 1.01/1.39 'e_3', 'e_1' ) ) ] )
% 1.01/1.39 , 1, clause( 432, [ equalish( 'e_4', X ), ~( product1( 'e_2', X, 'e_1' ) )
% 1.01/1.39 , product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.39 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 948, [ equalish( 'e_4', X ), ~( product1( 'e_2', X, 'e_1' ) ), ~(
% 1.01/1.39 product1( 'e_2', 'e_1', 'e_1' ) ) ] )
% 1.01/1.39 , clause( 2406, [ ~( product1( 'e_2', 'e_1', 'e_1' ) ), equalish( 'e_4', X
% 1.01/1.39 ), ~( product1( 'e_2', X, 'e_1' ) ) ] )
% 1.01/1.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 1.01/1.39 0 ), ==>( 2, 1 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 factor(
% 1.01/1.39 clause( 2408, [ equalish( 'e_4', 'e_1' ), ~( product1( 'e_2', 'e_1', 'e_1'
% 1.01/1.39 ) ) ] )
% 1.01/1.39 , clause( 948, [ equalish( 'e_4', X ), ~( product1( 'e_2', X, 'e_1' ) ),
% 1.01/1.39 ~( product1( 'e_2', 'e_1', 'e_1' ) ) ] )
% 1.01/1.39 , 1, 2, substitution( 0, [ :=( X, 'e_1' )] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2409, [ ~( product1( 'e_2', 'e_1', 'e_1' ) ) ] )
% 1.01/1.39 , clause( 15, [ ~( equalish( 'e_4', 'e_1' ) ) ] )
% 1.01/1.39 , 0, clause( 2408, [ equalish( 'e_4', 'e_1' ), ~( product1( 'e_2', 'e_1',
% 1.01/1.39 'e_1' ) ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 954, [ ~( product1( 'e_2', 'e_1', 'e_1' ) ) ] )
% 1.01/1.39 , clause( 2409, [ ~( product1( 'e_2', 'e_1', 'e_1' ) ) ] )
% 1.01/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2410, [ ~( product1( 'e_4', 'e_3', 'e_1' ) ), ~( product1( 'e_2',
% 1.01/1.39 'e_1', 'e_4' ) ) ] )
% 1.01/1.39 , clause( 15, [ ~( equalish( 'e_4', 'e_1' ) ) ] )
% 1.01/1.39 , 0, clause( 930, [ equalish( 'e_4', 'e_1' ), ~( product1( 'e_4', 'e_3',
% 1.01/1.39 'e_1' ) ), ~( product1( 'e_2', 'e_1', 'e_4' ) ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2411, [ ~( product1( 'e_2', 'e_1', 'e_4' ) ), ~( product1( 'e_2',
% 1.01/1.39 'e_1', 'e_4' ) ) ] )
% 1.01/1.39 , clause( 2410, [ ~( product1( 'e_4', 'e_3', 'e_1' ) ), ~( product1( 'e_2'
% 1.01/1.39 , 'e_1', 'e_4' ) ) ] )
% 1.01/1.39 , 0, clause( 483, [ product1( 'e_4', 'e_3', 'e_1' ), ~( product1( 'e_2',
% 1.01/1.39 'e_1', 'e_4' ) ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 factor(
% 1.01/1.39 clause( 2412, [ ~( product1( 'e_2', 'e_1', 'e_4' ) ) ] )
% 1.01/1.39 , clause( 2411, [ ~( product1( 'e_2', 'e_1', 'e_4' ) ), ~( product1( 'e_2'
% 1.01/1.39 , 'e_1', 'e_4' ) ) ] )
% 1.01/1.39 , 0, 1, substitution( 0, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 963, [ ~( product1( 'e_2', 'e_1', 'e_4' ) ) ] )
% 1.01/1.39 , clause( 2412, [ ~( product1( 'e_2', 'e_1', 'e_4' ) ) ] )
% 1.01/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2413, [ ~( 'group_element'( 'e_2' ) ), ~( 'group_element'( 'e_1' )
% 1.01/1.39 ), product1( 'e_2', 'e_1', 'e_1' ), product1( 'e_2', 'e_1', 'e_2' ),
% 1.01/1.39 product1( 'e_2', 'e_1', 'e_3' ) ] )
% 1.01/1.39 , clause( 963, [ ~( product1( 'e_2', 'e_1', 'e_4' ) ) ] )
% 1.01/1.39 , 0, clause( 18, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 1.01/1.39 product1( X, Y, 'e_1' ), product1( X, Y, 'e_2' ), product1( X, Y, 'e_3' )
% 1.01/1.39 , product1( X, Y, 'e_4' ) ] )
% 1.01/1.39 , 5, substitution( 0, [] ), substitution( 1, [ :=( X, 'e_2' ), :=( Y, 'e_1'
% 1.01/1.39 )] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2414, [ ~( 'group_element'( 'e_1' ) ), product1( 'e_2', 'e_1',
% 1.01/1.39 'e_1' ), product1( 'e_2', 'e_1', 'e_2' ), product1( 'e_2', 'e_1', 'e_3' )
% 1.01/1.39 ] )
% 1.01/1.39 , clause( 2413, [ ~( 'group_element'( 'e_2' ) ), ~( 'group_element'( 'e_1'
% 1.01/1.39 ) ), product1( 'e_2', 'e_1', 'e_1' ), product1( 'e_2', 'e_1', 'e_2' ),
% 1.01/1.39 product1( 'e_2', 'e_1', 'e_3' ) ] )
% 1.01/1.39 , 0, clause( 3, [ 'group_element'( 'e_2' ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 964, [ ~( 'group_element'( 'e_1' ) ), product1( 'e_2', 'e_1', 'e_1'
% 1.01/1.39 ), product1( 'e_2', 'e_1', 'e_2' ), product1( 'e_2', 'e_1', 'e_3' ) ] )
% 1.01/1.39 , clause( 2414, [ ~( 'group_element'( 'e_1' ) ), product1( 'e_2', 'e_1',
% 1.01/1.39 'e_1' ), product1( 'e_2', 'e_1', 'e_2' ), product1( 'e_2', 'e_1', 'e_3' )
% 1.01/1.39 ] )
% 1.01/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 1.01/1.39 , 2 ), ==>( 3, 3 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2415, [ product1( 'e_4', 'e_1', 'e_1' ), ~( product1( 'e_4', 'e_3'
% 1.01/1.39 , 'e_1' ) ), product1( 'e_4', 'e_1', 'e_2' ) ] )
% 1.01/1.39 , clause( 8, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 1.01/1.39 , 0, clause( 406, [ equalish( 'e_1', 'e_4' ), product1( 'e_4', 'e_1', 'e_1'
% 1.01/1.39 ), ~( product1( 'e_4', 'e_3', 'e_1' ) ), product1( 'e_4', 'e_1', 'e_2' )
% 1.01/1.39 ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2416, [ ~( product1( 'e_4', 'e_3', 'e_1' ) ), product1( 'e_4',
% 1.01/1.39 'e_1', 'e_2' ) ] )
% 1.01/1.39 , clause( 446, [ ~( product1( 'e_4', 'e_1', 'e_1' ) ) ] )
% 1.01/1.39 , 0, clause( 2415, [ product1( 'e_4', 'e_1', 'e_1' ), ~( product1( 'e_4',
% 1.01/1.39 'e_3', 'e_1' ) ), product1( 'e_4', 'e_1', 'e_2' ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 971, [ ~( product1( 'e_4', 'e_3', 'e_1' ) ), product1( 'e_4', 'e_1'
% 1.01/1.39 , 'e_2' ) ] )
% 1.01/1.39 , clause( 2416, [ ~( product1( 'e_4', 'e_3', 'e_1' ) ), product1( 'e_4',
% 1.01/1.39 'e_1', 'e_2' ) ] )
% 1.01/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.01/1.39 ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2417, [ equalish( 'e_4', 'e_1' ), ~( product1( 'e_2', 'e_4', 'e_4'
% 1.01/1.39 ) ), ~( product1( 'e_4', 'e_3', 'e_1' ) ) ] )
% 1.01/1.39 , clause( 77, [ equalish( X, Y ), ~( product1( X, Y, Z ) ), ~( product1( Z
% 1.01/1.39 , X, X ) ) ] )
% 1.01/1.39 , 1, clause( 971, [ ~( product1( 'e_4', 'e_3', 'e_1' ) ), product1( 'e_4',
% 1.01/1.39 'e_1', 'e_2' ) ] )
% 1.01/1.39 , 1, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_1' ), :=( Z, 'e_2' )] ),
% 1.01/1.39 substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2418, [ equalish( 'e_4', 'e_1' ), ~( product1( 'e_2', 'e_4', 'e_4'
% 1.01/1.39 ) ), ~( product1( 'e_2', 'e_4', 'e_4' ) ) ] )
% 1.01/1.39 , clause( 2417, [ equalish( 'e_4', 'e_1' ), ~( product1( 'e_2', 'e_4',
% 1.01/1.39 'e_4' ) ), ~( product1( 'e_4', 'e_3', 'e_1' ) ) ] )
% 1.01/1.39 , 2, clause( 119, [ product1( 'e_4', 'e_3', 'e_1' ), ~( product1( 'e_2',
% 1.01/1.39 'e_4', 'e_4' ) ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 factor(
% 1.01/1.39 clause( 2419, [ equalish( 'e_4', 'e_1' ), ~( product1( 'e_2', 'e_4', 'e_4'
% 1.01/1.39 ) ) ] )
% 1.01/1.39 , clause( 2418, [ equalish( 'e_4', 'e_1' ), ~( product1( 'e_2', 'e_4',
% 1.01/1.39 'e_4' ) ), ~( product1( 'e_2', 'e_4', 'e_4' ) ) ] )
% 1.01/1.39 , 1, 2, substitution( 0, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 973, [ equalish( 'e_4', 'e_1' ), ~( product1( 'e_2', 'e_4', 'e_4' )
% 1.01/1.39 ) ] )
% 1.01/1.39 , clause( 2419, [ equalish( 'e_4', 'e_1' ), ~( product1( 'e_2', 'e_4',
% 1.01/1.39 'e_4' ) ) ] )
% 1.01/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.01/1.39 ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2420, [ equalish( 'e_2', 'e_1' ), ~( product1( 'e_1', 'e_2', 'e_4'
% 1.01/1.39 ) ), ~( product1( 'e_4', 'e_3', 'e_1' ) ) ] )
% 1.01/1.39 , clause( 84, [ equalish( X, Y ), ~( product1( Z, Y, X ) ), ~( product1( Y
% 1.01/1.39 , X, Z ) ) ] )
% 1.01/1.39 , 1, clause( 971, [ ~( product1( 'e_4', 'e_3', 'e_1' ) ), product1( 'e_4',
% 1.01/1.39 'e_1', 'e_2' ) ] )
% 1.01/1.39 , 1, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_1' ), :=( Z, 'e_4' )] ),
% 1.01/1.39 substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2422, [ equalish( 'e_2', 'e_1' ), ~( product1( 'e_1', 'e_2', 'e_4'
% 1.01/1.39 ) ), ~( product1( 'e_1', 'e_2', 'e_4' ) ) ] )
% 1.01/1.39 , clause( 2420, [ equalish( 'e_2', 'e_1' ), ~( product1( 'e_1', 'e_2',
% 1.01/1.39 'e_4' ) ), ~( product1( 'e_4', 'e_3', 'e_1' ) ) ] )
% 1.01/1.39 , 2, clause( 429, [ product1( 'e_4', 'e_3', 'e_1' ), ~( product1( 'e_1',
% 1.01/1.39 'e_2', 'e_4' ) ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 factor(
% 1.01/1.39 clause( 2423, [ equalish( 'e_2', 'e_1' ), ~( product1( 'e_1', 'e_2', 'e_4'
% 1.01/1.39 ) ) ] )
% 1.01/1.39 , clause( 2422, [ equalish( 'e_2', 'e_1' ), ~( product1( 'e_1', 'e_2',
% 1.01/1.39 'e_4' ) ), ~( product1( 'e_1', 'e_2', 'e_4' ) ) ] )
% 1.01/1.39 , 1, 2, substitution( 0, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 975, [ equalish( 'e_2', 'e_1' ), ~( product1( 'e_1', 'e_2', 'e_4' )
% 1.01/1.39 ) ] )
% 1.01/1.39 , clause( 2423, [ equalish( 'e_2', 'e_1' ), ~( product1( 'e_1', 'e_2',
% 1.01/1.39 'e_4' ) ) ] )
% 1.01/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.01/1.39 ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2424, [ ~( product1( 'e_2', 'e_4', 'e_4' ) ) ] )
% 1.01/1.39 , clause( 15, [ ~( equalish( 'e_4', 'e_1' ) ) ] )
% 1.01/1.39 , 0, clause( 973, [ equalish( 'e_4', 'e_1' ), ~( product1( 'e_2', 'e_4',
% 1.01/1.39 'e_4' ) ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 981, [ ~( product1( 'e_2', 'e_4', 'e_4' ) ) ] )
% 1.01/1.39 , clause( 2424, [ ~( product1( 'e_2', 'e_4', 'e_4' ) ) ] )
% 1.01/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2425, [ ~( 'group_element'( 'e_2' ) ), ~( 'group_element'( 'e_4' )
% 1.01/1.39 ), product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4', 'e_2' ),
% 1.01/1.39 product1( 'e_2', 'e_4', 'e_3' ) ] )
% 1.01/1.39 , clause( 981, [ ~( product1( 'e_2', 'e_4', 'e_4' ) ) ] )
% 1.01/1.39 , 0, clause( 18, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 1.01/1.39 product1( X, Y, 'e_1' ), product1( X, Y, 'e_2' ), product1( X, Y, 'e_3' )
% 1.01/1.39 , product1( X, Y, 'e_4' ) ] )
% 1.01/1.39 , 5, substitution( 0, [] ), substitution( 1, [ :=( X, 'e_2' ), :=( Y, 'e_4'
% 1.01/1.39 )] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2426, [ ~( 'group_element'( 'e_4' ) ), product1( 'e_2', 'e_4',
% 1.01/1.39 'e_1' ), product1( 'e_2', 'e_4', 'e_2' ), product1( 'e_2', 'e_4', 'e_3' )
% 1.01/1.39 ] )
% 1.01/1.39 , clause( 2425, [ ~( 'group_element'( 'e_2' ) ), ~( 'group_element'( 'e_4'
% 1.01/1.39 ) ), product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4', 'e_2' ),
% 1.01/1.39 product1( 'e_2', 'e_4', 'e_3' ) ] )
% 1.01/1.39 , 0, clause( 3, [ 'group_element'( 'e_2' ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 982, [ ~( 'group_element'( 'e_4' ) ), product1( 'e_2', 'e_4', 'e_1'
% 1.01/1.39 ), product1( 'e_2', 'e_4', 'e_2' ), product1( 'e_2', 'e_4', 'e_3' ) ] )
% 1.01/1.39 , clause( 2426, [ ~( 'group_element'( 'e_4' ) ), product1( 'e_2', 'e_4',
% 1.01/1.39 'e_1' ), product1( 'e_2', 'e_4', 'e_2' ), product1( 'e_2', 'e_4', 'e_3' )
% 1.01/1.39 ] )
% 1.01/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 1.01/1.39 , 2 ), ==>( 3, 3 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2427, [ ~( product1( 'e_1', 'e_2', 'e_4' ) ) ] )
% 1.01/1.39 , clause( 9, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 1.01/1.39 , 0, clause( 975, [ equalish( 'e_2', 'e_1' ), ~( product1( 'e_1', 'e_2',
% 1.01/1.39 'e_4' ) ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 983, [ ~( product1( 'e_1', 'e_2', 'e_4' ) ) ] )
% 1.01/1.39 , clause( 2427, [ ~( product1( 'e_1', 'e_2', 'e_4' ) ) ] )
% 1.01/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2428, [ ~( 'group_element'( 'e_1' ) ), ~( 'group_element'( 'e_2' )
% 1.01/1.39 ), product1( 'e_1', 'e_2', 'e_1' ), product1( 'e_1', 'e_2', 'e_2' ),
% 1.01/1.39 product1( 'e_1', 'e_2', 'e_3' ) ] )
% 1.01/1.39 , clause( 983, [ ~( product1( 'e_1', 'e_2', 'e_4' ) ) ] )
% 1.01/1.39 , 0, clause( 18, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 1.01/1.39 product1( X, Y, 'e_1' ), product1( X, Y, 'e_2' ), product1( X, Y, 'e_3' )
% 1.01/1.39 , product1( X, Y, 'e_4' ) ] )
% 1.01/1.39 , 5, substitution( 0, [] ), substitution( 1, [ :=( X, 'e_1' ), :=( Y, 'e_2'
% 1.01/1.39 )] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2429, [ ~( 'group_element'( 'e_2' ) ), product1( 'e_1', 'e_2',
% 1.01/1.39 'e_1' ), product1( 'e_1', 'e_2', 'e_2' ), product1( 'e_1', 'e_2', 'e_3' )
% 1.01/1.39 ] )
% 1.01/1.39 , clause( 2428, [ ~( 'group_element'( 'e_1' ) ), ~( 'group_element'( 'e_2'
% 1.01/1.39 ) ), product1( 'e_1', 'e_2', 'e_1' ), product1( 'e_1', 'e_2', 'e_2' ),
% 1.01/1.39 product1( 'e_1', 'e_2', 'e_3' ) ] )
% 1.01/1.39 , 0, clause( 2, [ 'group_element'( 'e_1' ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 984, [ ~( 'group_element'( 'e_2' ) ), product1( 'e_1', 'e_2', 'e_1'
% 1.01/1.39 ), product1( 'e_1', 'e_2', 'e_2' ), product1( 'e_1', 'e_2', 'e_3' ) ] )
% 1.01/1.39 , clause( 2429, [ ~( 'group_element'( 'e_2' ) ), product1( 'e_1', 'e_2',
% 1.01/1.39 'e_1' ), product1( 'e_1', 'e_2', 'e_2' ), product1( 'e_1', 'e_2', 'e_3' )
% 1.01/1.39 ] )
% 1.01/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 1.01/1.39 , 2 ), ==>( 3, 3 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2430, [ product1( 'e_1', 'e_2', 'e_1' ), product1( 'e_1', 'e_2',
% 1.01/1.39 'e_2' ), product1( 'e_1', 'e_2', 'e_3' ) ] )
% 1.01/1.39 , clause( 984, [ ~( 'group_element'( 'e_2' ) ), product1( 'e_1', 'e_2',
% 1.01/1.39 'e_1' ), product1( 'e_1', 'e_2', 'e_2' ), product1( 'e_1', 'e_2', 'e_3' )
% 1.01/1.39 ] )
% 1.01/1.39 , 0, clause( 3, [ 'group_element'( 'e_2' ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 985, [ product1( 'e_1', 'e_2', 'e_1' ), product1( 'e_1', 'e_2',
% 1.01/1.39 'e_2' ), product1( 'e_1', 'e_2', 'e_3' ) ] )
% 1.01/1.39 , clause( 2430, [ product1( 'e_1', 'e_2', 'e_1' ), product1( 'e_1', 'e_2',
% 1.01/1.39 'e_2' ), product1( 'e_1', 'e_2', 'e_3' ) ] )
% 1.01/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 1.01/1.39 , 2 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2431, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 1.01/1.39 'e_2' ), product1( 'e_2', 'e_4', 'e_3' ) ] )
% 1.01/1.39 , clause( 982, [ ~( 'group_element'( 'e_4' ) ), product1( 'e_2', 'e_4',
% 1.01/1.39 'e_1' ), product1( 'e_2', 'e_4', 'e_2' ), product1( 'e_2', 'e_4', 'e_3' )
% 1.01/1.39 ] )
% 1.01/1.39 , 0, clause( 5, [ 'group_element'( 'e_4' ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 1050, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 1.01/1.39 'e_2' ), product1( 'e_2', 'e_4', 'e_3' ) ] )
% 1.01/1.39 , clause( 2431, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 1.01/1.39 'e_2' ), product1( 'e_2', 'e_4', 'e_3' ) ] )
% 1.01/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 1.01/1.39 , 2 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2434, [ equalish( 'e_1', 'e_3' ), product1( 'e_3', 'e_4', 'e_1' ),
% 1.01/1.39 product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4', 'e_2' ) ] )
% 1.01/1.39 , clause( 670, [ equalish( 'e_1', X ), product1( 'e_3', 'e_4', 'e_1' ), ~(
% 1.01/1.39 product1( 'e_2', 'e_4', X ) ) ] )
% 1.01/1.39 , 2, clause( 1050, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2',
% 1.01/1.39 'e_4', 'e_2' ), product1( 'e_2', 'e_4', 'e_3' ) ] )
% 1.01/1.39 , 2, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2437, [ product1( 'e_3', 'e_4', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 1.01/1.39 product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_2', 'e_4', 'e_1' ) ] )
% 1.01/1.39 , clause( 621, [ product1( 'e_3', 'e_4', 'e_1' ), ~( product1( 'e_2', 'e_4'
% 1.01/1.39 , 'e_2' ) ) ] )
% 1.01/1.39 , 1, clause( 2434, [ equalish( 'e_1', 'e_3' ), product1( 'e_3', 'e_4',
% 1.01/1.39 'e_1' ), product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4', 'e_2' )
% 1.01/1.39 ] )
% 1.01/1.39 , 3, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 factor(
% 1.01/1.39 clause( 2438, [ product1( 'e_3', 'e_4', 'e_1' ), equalish( 'e_1', 'e_3' ),
% 1.01/1.39 product1( 'e_2', 'e_4', 'e_1' ) ] )
% 1.01/1.39 , clause( 2437, [ product1( 'e_3', 'e_4', 'e_1' ), equalish( 'e_1', 'e_3' )
% 1.01/1.39 , product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_2', 'e_4', 'e_1' ) ] )
% 1.01/1.39 , 0, 2, substitution( 0, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 1062, [ equalish( 'e_1', 'e_3' ), product1( 'e_2', 'e_4', 'e_1' ),
% 1.01/1.39 product1( 'e_3', 'e_4', 'e_1' ) ] )
% 1.01/1.39 , clause( 2438, [ product1( 'e_3', 'e_4', 'e_1' ), equalish( 'e_1', 'e_3' )
% 1.01/1.39 , product1( 'e_2', 'e_4', 'e_1' ) ] )
% 1.01/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 1.01/1.39 , 1 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2439, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_3', 'e_4',
% 1.01/1.39 'e_1' ) ] )
% 1.01/1.39 , clause( 7, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 1.01/1.39 , 0, clause( 1062, [ equalish( 'e_1', 'e_3' ), product1( 'e_2', 'e_4',
% 1.01/1.39 'e_1' ), product1( 'e_3', 'e_4', 'e_1' ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 1085, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_3', 'e_4',
% 1.01/1.39 'e_1' ) ] )
% 1.01/1.39 , clause( 2439, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_3', 'e_4',
% 1.01/1.39 'e_1' ) ] )
% 1.01/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.01/1.39 ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2441, [ equalish( 'e_1', 'e_2' ), equalish( X, 'e_1' ), ~( product1(
% 1.01/1.39 'e_3', 'e_4', X ) ), product1( 'e_2', 'e_4', 'e_1' ) ] )
% 1.01/1.39 , clause( 209, [ equalish( X, 'e_2' ), equalish( Y, 'e_1' ), ~( product1(
% 1.01/1.39 'e_3', 'e_4', Y ) ), ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.39 , 3, clause( 1085, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_3',
% 1.01/1.39 'e_4', 'e_1' ) ] )
% 1.01/1.39 , 1, substitution( 0, [ :=( X, 'e_1' ), :=( Y, X )] ), substitution( 1, [] )
% 1.01/1.39 ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2442, [ equalish( X, 'e_1' ), ~( product1( 'e_3', 'e_4', X ) ),
% 1.01/1.39 product1( 'e_2', 'e_4', 'e_1' ) ] )
% 1.01/1.39 , clause( 6, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 1.01/1.39 , 0, clause( 2441, [ equalish( 'e_1', 'e_2' ), equalish( X, 'e_1' ), ~(
% 1.01/1.39 product1( 'e_3', 'e_4', X ) ), product1( 'e_2', 'e_4', 'e_1' ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 1096, [ equalish( X, 'e_1' ), ~( product1( 'e_3', 'e_4', X ) ),
% 1.01/1.39 product1( 'e_2', 'e_4', 'e_1' ) ] )
% 1.01/1.39 , clause( 2442, [ equalish( X, 'e_1' ), ~( product1( 'e_3', 'e_4', X ) ),
% 1.01/1.39 product1( 'e_2', 'e_4', 'e_1' ) ] )
% 1.01/1.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.01/1.39 1 ), ==>( 2, 2 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2443, [ equalish( 'e_2', 'e_1' ), ~( product1( 'e_1', 'e_4', 'e_3'
% 1.01/1.39 ) ), product1( 'e_2', 'e_4', 'e_1' ) ] )
% 1.01/1.39 , clause( 527, [ equalish( 'e_2', X ), ~( product1( 'e_1', 'e_4', 'e_3' ) )
% 1.01/1.39 , ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.39 , 2, clause( 1085, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_3',
% 1.01/1.39 'e_4', 'e_1' ) ] )
% 1.01/1.39 , 1, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2444, [ ~( product1( 'e_1', 'e_4', 'e_3' ) ), product1( 'e_2',
% 1.01/1.39 'e_4', 'e_1' ) ] )
% 1.01/1.39 , clause( 9, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 1.01/1.39 , 0, clause( 2443, [ equalish( 'e_2', 'e_1' ), ~( product1( 'e_1', 'e_4',
% 1.01/1.39 'e_3' ) ), product1( 'e_2', 'e_4', 'e_1' ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 1102, [ product1( 'e_2', 'e_4', 'e_1' ), ~( product1( 'e_1', 'e_4'
% 1.01/1.39 , 'e_3' ) ) ] )
% 1.01/1.39 , clause( 2444, [ ~( product1( 'e_1', 'e_4', 'e_3' ) ), product1( 'e_2',
% 1.01/1.39 'e_4', 'e_1' ) ] )
% 1.01/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 1.01/1.39 ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2445, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_1', 'e_4',
% 1.01/1.39 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 1.01/1.39 , clause( 1102, [ product1( 'e_2', 'e_4', 'e_1' ), ~( product1( 'e_1',
% 1.01/1.39 'e_4', 'e_3' ) ) ] )
% 1.01/1.39 , 1, clause( 902, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4'
% 1.01/1.39 , 'e_2' ), product1( 'e_1', 'e_4', 'e_3' ) ] )
% 1.01/1.39 , 2, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 1110, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 1.01/1.39 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 1.01/1.39 , clause( 2445, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_1', 'e_4',
% 1.01/1.39 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 1.01/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 1.01/1.39 , 2 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2446, [ equalish( 'e_2', X ), ~( product1( X, 'e_4', 'e_1' ) ),
% 1.01/1.39 equalish( Y, 'e_1' ), ~( product1( 'e_3', 'e_4', Y ) ) ] )
% 1.01/1.39 , clause( 21, [ equalish( X, T ), ~( product1( X, Y, Z ) ), ~( product1( T
% 1.01/1.39 , Y, Z ) ) ] )
% 1.01/1.39 , 1, clause( 1096, [ equalish( X, 'e_1' ), ~( product1( 'e_3', 'e_4', X ) )
% 1.01/1.39 , product1( 'e_2', 'e_4', 'e_1' ) ] )
% 1.01/1.39 , 2, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_4' ), :=( Z, 'e_1' ),
% 1.01/1.39 :=( T, X )] ), substitution( 1, [ :=( X, Y )] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 1180, [ equalish( X, 'e_1' ), equalish( 'e_2', Y ), ~( product1( Y
% 1.01/1.39 , 'e_4', 'e_1' ) ), ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.39 , clause( 2446, [ equalish( 'e_2', X ), ~( product1( X, 'e_4', 'e_1' ) ),
% 1.01/1.39 equalish( Y, 'e_1' ), ~( product1( 'e_3', 'e_4', Y ) ) ] )
% 1.01/1.39 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 1.01/1.39 ), ==>( 1, 2 ), ==>( 2, 0 ), ==>( 3, 3 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 factor(
% 1.01/1.39 clause( 2451, [ equalish( 'e_2', 'e_1' ), ~( product1( 'e_1', 'e_4', 'e_1'
% 1.01/1.39 ) ), ~( product1( 'e_3', 'e_4', 'e_2' ) ) ] )
% 1.01/1.39 , clause( 1180, [ equalish( X, 'e_1' ), equalish( 'e_2', Y ), ~( product1(
% 1.01/1.39 Y, 'e_4', 'e_1' ) ), ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.39 , 0, 1, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_1' )] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2453, [ ~( product1( 'e_1', 'e_4', 'e_1' ) ), ~( product1( 'e_3',
% 1.01/1.39 'e_4', 'e_2' ) ) ] )
% 1.01/1.39 , clause( 9, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 1.01/1.39 , 0, clause( 2451, [ equalish( 'e_2', 'e_1' ), ~( product1( 'e_1', 'e_4',
% 1.01/1.39 'e_1' ) ), ~( product1( 'e_3', 'e_4', 'e_2' ) ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 1182, [ ~( product1( 'e_1', 'e_4', 'e_1' ) ), ~( product1( 'e_3',
% 1.01/1.39 'e_4', 'e_2' ) ) ] )
% 1.01/1.39 , clause( 2453, [ ~( product1( 'e_1', 'e_4', 'e_1' ) ), ~( product1( 'e_3'
% 1.01/1.39 , 'e_4', 'e_2' ) ) ] )
% 1.01/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.01/1.39 ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2454, [ ~( product1( 'e_1', 'e_4', 'e_1' ) ), product1( 'e_3',
% 1.01/1.39 'e_4', 'e_1' ) ] )
% 1.01/1.39 , clause( 1182, [ ~( product1( 'e_1', 'e_4', 'e_1' ) ), ~( product1( 'e_3'
% 1.01/1.39 , 'e_4', 'e_2' ) ) ] )
% 1.01/1.39 , 1, clause( 169, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4'
% 1.01/1.39 , 'e_2' ) ] )
% 1.01/1.39 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 1185, [ ~( product1( 'e_1', 'e_4', 'e_1' ) ), product1( 'e_3',
% 1.01/1.39 'e_4', 'e_1' ) ] )
% 1.01/1.39 , clause( 2454, [ ~( product1( 'e_1', 'e_4', 'e_1' ) ), product1( 'e_3',
% 1.01/1.39 'e_4', 'e_1' ) ] )
% 1.01/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.01/1.39 ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2456, [ equalish( 'e_1', 'e_2' ), equalish( 'e_3', X ), ~( product1(
% 1.01/1.39 X, 'e_4', 'e_1' ) ), ~( product1( 'e_1', 'e_4', 'e_1' ) ) ] )
% 1.01/1.39 , clause( 204, [ equalish( X, 'e_2' ), equalish( 'e_3', Y ), ~( product1( Y
% 1.01/1.39 , 'e_4', 'e_1' ) ), ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.39 , 3, clause( 1185, [ ~( product1( 'e_1', 'e_4', 'e_1' ) ), product1( 'e_3'
% 1.01/1.39 , 'e_4', 'e_1' ) ] )
% 1.01/1.39 , 1, substitution( 0, [ :=( X, 'e_1' ), :=( Y, X )] ), substitution( 1, [] )
% 1.01/1.39 ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2459, [ equalish( 'e_3', X ), ~( product1( X, 'e_4', 'e_1' ) ), ~(
% 1.01/1.39 product1( 'e_1', 'e_4', 'e_1' ) ) ] )
% 1.01/1.39 , clause( 6, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 1.01/1.39 , 0, clause( 2456, [ equalish( 'e_1', 'e_2' ), equalish( 'e_3', X ), ~(
% 1.01/1.39 product1( X, 'e_4', 'e_1' ) ), ~( product1( 'e_1', 'e_4', 'e_1' ) ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 1204, [ equalish( 'e_3', X ), ~( product1( X, 'e_4', 'e_1' ) ), ~(
% 1.01/1.39 product1( 'e_1', 'e_4', 'e_1' ) ) ] )
% 1.01/1.39 , clause( 2459, [ equalish( 'e_3', X ), ~( product1( X, 'e_4', 'e_1' ) ),
% 1.01/1.39 ~( product1( 'e_1', 'e_4', 'e_1' ) ) ] )
% 1.01/1.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.01/1.39 1 ), ==>( 2, 2 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 factor(
% 1.01/1.39 clause( 2461, [ equalish( 'e_3', 'e_1' ), ~( product1( 'e_1', 'e_4', 'e_1'
% 1.01/1.39 ) ) ] )
% 1.01/1.39 , clause( 1204, [ equalish( 'e_3', X ), ~( product1( X, 'e_4', 'e_1' ) ),
% 1.01/1.39 ~( product1( 'e_1', 'e_4', 'e_1' ) ) ] )
% 1.01/1.39 , 1, 2, substitution( 0, [ :=( X, 'e_1' )] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2462, [ ~( product1( 'e_1', 'e_4', 'e_1' ) ) ] )
% 1.01/1.39 , clause( 12, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 1.01/1.39 , 0, clause( 2461, [ equalish( 'e_3', 'e_1' ), ~( product1( 'e_1', 'e_4',
% 1.01/1.39 'e_1' ) ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 1209, [ ~( product1( 'e_1', 'e_4', 'e_1' ) ) ] )
% 1.01/1.39 , clause( 2462, [ ~( product1( 'e_1', 'e_4', 'e_1' ) ) ] )
% 1.01/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2463, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_1', 'e_4',
% 1.01/1.39 'e_2' ) ] )
% 1.01/1.39 , clause( 1209, [ ~( product1( 'e_1', 'e_4', 'e_1' ) ) ] )
% 1.01/1.39 , 0, clause( 1110, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_2',
% 1.01/1.39 'e_4', 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 1254, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_1', 'e_4',
% 1.01/1.39 'e_2' ) ] )
% 1.01/1.39 , clause( 2463, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_1', 'e_4',
% 1.01/1.39 'e_2' ) ] )
% 1.01/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.01/1.39 ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2465, [ equalish( 'e_2', X ), ~( product1( 'e_1', 'e_4', X ) ),
% 1.01/1.39 product1( 'e_2', 'e_4', 'e_1' ) ] )
% 1.01/1.39 , clause( 19, [ equalish( Z, T ), ~( product1( X, Y, Z ) ), ~( product1( X
% 1.01/1.39 , Y, T ) ) ] )
% 1.01/1.39 , 1, clause( 1254, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_1',
% 1.01/1.39 'e_4', 'e_2' ) ] )
% 1.01/1.39 , 1, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_4' ), :=( Z, 'e_2' ),
% 1.01/1.39 :=( T, X )] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 1261, [ equalish( 'e_2', X ), ~( product1( 'e_1', 'e_4', X ) ),
% 1.01/1.39 product1( 'e_2', 'e_4', 'e_1' ) ] )
% 1.01/1.39 , clause( 2465, [ equalish( 'e_2', X ), ~( product1( 'e_1', 'e_4', X ) ),
% 1.01/1.39 product1( 'e_2', 'e_4', 'e_1' ) ] )
% 1.01/1.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.01/1.39 1 ), ==>( 2, 2 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2468, [ equalish( 'e_2', 'e_4' ), ~( product1( 'e_1', 'e_2', 'e_2'
% 1.01/1.39 ) ), equalish( 'e_2', X ), ~( product1( 'e_1', 'e_4', X ) ) ] )
% 1.01/1.39 , clause( 77, [ equalish( X, Y ), ~( product1( X, Y, Z ) ), ~( product1( Z
% 1.01/1.39 , X, X ) ) ] )
% 1.01/1.39 , 1, clause( 1261, [ equalish( 'e_2', X ), ~( product1( 'e_1', 'e_4', X ) )
% 1.01/1.39 , product1( 'e_2', 'e_4', 'e_1' ) ] )
% 1.01/1.39 , 2, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_4' ), :=( Z, 'e_1' )] ),
% 1.01/1.39 substitution( 1, [ :=( X, X )] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2471, [ ~( product1( 'e_1', 'e_2', 'e_2' ) ), equalish( 'e_2', X )
% 1.01/1.39 , ~( product1( 'e_1', 'e_4', X ) ) ] )
% 1.01/1.39 , clause( 11, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 1.01/1.39 , 0, clause( 2468, [ equalish( 'e_2', 'e_4' ), ~( product1( 'e_1', 'e_2',
% 1.01/1.39 'e_2' ) ), equalish( 'e_2', X ), ~( product1( 'e_1', 'e_4', X ) ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 1282, [ equalish( 'e_2', X ), ~( product1( 'e_1', 'e_2', 'e_2' ) )
% 1.01/1.39 , ~( product1( 'e_1', 'e_4', X ) ) ] )
% 1.01/1.39 , clause( 2471, [ ~( product1( 'e_1', 'e_2', 'e_2' ) ), equalish( 'e_2', X
% 1.01/1.39 ), ~( product1( 'e_1', 'e_4', X ) ) ] )
% 1.01/1.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 1.01/1.39 0 ), ==>( 2, 2 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2474, [ equalish( 'e_2', 'e_3' ), ~( product1( 'e_1', 'e_2', 'e_2'
% 1.01/1.39 ) ), product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ) ]
% 1.01/1.39 )
% 1.01/1.39 , clause( 1282, [ equalish( 'e_2', X ), ~( product1( 'e_1', 'e_2', 'e_2' )
% 1.01/1.39 ), ~( product1( 'e_1', 'e_4', X ) ) ] )
% 1.01/1.39 , 2, clause( 902, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4'
% 1.01/1.39 , 'e_2' ), product1( 'e_1', 'e_4', 'e_3' ) ] )
% 1.01/1.39 , 2, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2475, [ ~( product1( 'e_1', 'e_2', 'e_2' ) ), product1( 'e_1',
% 1.01/1.39 'e_4', 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 1.01/1.39 , clause( 10, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 1.01/1.39 , 0, clause( 2474, [ equalish( 'e_2', 'e_3' ), ~( product1( 'e_1', 'e_2',
% 1.01/1.39 'e_2' ) ), product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4', 'e_2'
% 1.01/1.39 ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 1294, [ product1( 'e_1', 'e_4', 'e_1' ), ~( product1( 'e_1', 'e_2'
% 1.01/1.39 , 'e_2' ) ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 1.01/1.39 , clause( 2475, [ ~( product1( 'e_1', 'e_2', 'e_2' ) ), product1( 'e_1',
% 1.01/1.39 'e_4', 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 1.01/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 1.01/1.39 , 2 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2476, [ ~( product1( 'e_1', 'e_2', 'e_2' ) ), product1( 'e_1',
% 1.01/1.39 'e_4', 'e_2' ) ] )
% 1.01/1.39 , clause( 1209, [ ~( product1( 'e_1', 'e_4', 'e_1' ) ) ] )
% 1.01/1.39 , 0, clause( 1294, [ product1( 'e_1', 'e_4', 'e_1' ), ~( product1( 'e_1',
% 1.01/1.39 'e_2', 'e_2' ) ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 1353, [ ~( product1( 'e_1', 'e_2', 'e_2' ) ), product1( 'e_1',
% 1.01/1.39 'e_4', 'e_2' ) ] )
% 1.01/1.39 , clause( 2476, [ ~( product1( 'e_1', 'e_2', 'e_2' ) ), product1( 'e_1',
% 1.01/1.39 'e_4', 'e_2' ) ] )
% 1.01/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.01/1.39 ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2477, [ equalish( 'e_1', 'e_4' ), product1( 'e_4', 'e_1', 'e_1' ),
% 1.01/1.39 product1( 'e_4', 'e_1', 'e_2' ), ~( product1( 'e_1', 'e_4', 'e_2' ) ) ]
% 1.01/1.39 )
% 1.01/1.39 , clause( 832, [ ~( 'group_element'( 'e_1' ) ), equalish( 'e_1', 'e_4' ),
% 1.01/1.39 product1( 'e_4', 'e_1', 'e_1' ), product1( 'e_4', 'e_1', 'e_2' ), ~(
% 1.01/1.39 product1( 'e_1', 'e_4', 'e_2' ) ) ] )
% 1.01/1.39 , 0, clause( 2, [ 'group_element'( 'e_1' ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2478, [ product1( 'e_4', 'e_1', 'e_1' ), product1( 'e_4', 'e_1',
% 1.01/1.39 'e_2' ), ~( product1( 'e_1', 'e_4', 'e_2' ) ) ] )
% 1.01/1.39 , clause( 8, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 1.01/1.39 , 0, clause( 2477, [ equalish( 'e_1', 'e_4' ), product1( 'e_4', 'e_1',
% 1.01/1.39 'e_1' ), product1( 'e_4', 'e_1', 'e_2' ), ~( product1( 'e_1', 'e_4',
% 1.01/1.39 'e_2' ) ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2479, [ product1( 'e_4', 'e_1', 'e_2' ), ~( product1( 'e_1', 'e_4'
% 1.01/1.39 , 'e_2' ) ) ] )
% 1.01/1.39 , clause( 446, [ ~( product1( 'e_4', 'e_1', 'e_1' ) ) ] )
% 1.01/1.39 , 0, clause( 2478, [ product1( 'e_4', 'e_1', 'e_1' ), product1( 'e_4',
% 1.01/1.39 'e_1', 'e_2' ), ~( product1( 'e_1', 'e_4', 'e_2' ) ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 1366, [ product1( 'e_4', 'e_1', 'e_2' ), ~( product1( 'e_1', 'e_4'
% 1.01/1.39 , 'e_2' ) ) ] )
% 1.01/1.39 , clause( 2479, [ product1( 'e_4', 'e_1', 'e_2' ), ~( product1( 'e_1',
% 1.01/1.39 'e_4', 'e_2' ) ) ] )
% 1.01/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.01/1.39 ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2480, [ equalish( X, 'e_1' ), ~( product1( 'e_2', 'e_4', X ) ),
% 1.01/1.39 product1( 'e_1', 'e_4', 'e_2' ) ] )
% 1.01/1.39 , clause( 1209, [ ~( product1( 'e_1', 'e_4', 'e_1' ) ) ] )
% 1.01/1.39 , 0, clause( 909, [ product1( 'e_1', 'e_4', 'e_1' ), equalish( X, 'e_1' ),
% 1.01/1.39 ~( product1( 'e_2', 'e_4', X ) ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 1482, [ equalish( X, 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ), ~(
% 1.01/1.39 product1( 'e_2', 'e_4', X ) ) ] )
% 1.01/1.39 , clause( 2480, [ equalish( X, 'e_1' ), ~( product1( 'e_2', 'e_4', X ) ),
% 1.01/1.39 product1( 'e_1', 'e_4', 'e_2' ) ] )
% 1.01/1.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.01/1.39 2 ), ==>( 2, 1 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2482, [ equalish( X, 'e_1' ), ~( product1( X, 'e_4', 'e_2' ) ),
% 1.01/1.39 equalish( Y, 'e_1' ), ~( product1( 'e_2', 'e_4', Y ) ) ] )
% 1.01/1.39 , clause( 21, [ equalish( X, T ), ~( product1( X, Y, Z ) ), ~( product1( T
% 1.01/1.39 , Y, Z ) ) ] )
% 1.01/1.39 , 2, clause( 1482, [ equalish( X, 'e_1' ), product1( 'e_1', 'e_4', 'e_2' )
% 1.01/1.39 , ~( product1( 'e_2', 'e_4', X ) ) ] )
% 1.01/1.39 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'e_4' ), :=( Z, 'e_2' ), :=( T,
% 1.01/1.39 'e_1' )] ), substitution( 1, [ :=( X, Y )] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 1485, [ equalish( X, 'e_1' ), equalish( Y, 'e_1' ), ~( product1( Y
% 1.01/1.39 , 'e_4', 'e_2' ) ), ~( product1( 'e_2', 'e_4', X ) ) ] )
% 1.01/1.39 , clause( 2482, [ equalish( X, 'e_1' ), ~( product1( X, 'e_4', 'e_2' ) ),
% 1.01/1.39 equalish( Y, 'e_1' ), ~( product1( 'e_2', 'e_4', Y ) ) ] )
% 1.01/1.39 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 1.01/1.39 ), ==>( 1, 2 ), ==>( 2, 0 ), ==>( 3, 3 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 factor(
% 1.01/1.39 clause( 2489, [ equalish( 'e_2', 'e_1' ), equalish( 'e_2', 'e_1' ), ~(
% 1.01/1.39 product1( 'e_2', 'e_4', 'e_2' ) ) ] )
% 1.01/1.39 , clause( 1485, [ equalish( X, 'e_1' ), equalish( Y, 'e_1' ), ~( product1(
% 1.01/1.39 Y, 'e_4', 'e_2' ) ), ~( product1( 'e_2', 'e_4', X ) ) ] )
% 1.01/1.39 , 2, 3, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_2' )] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 factor(
% 1.01/1.39 clause( 2490, [ equalish( 'e_2', 'e_1' ), ~( product1( 'e_2', 'e_4', 'e_2'
% 1.01/1.39 ) ) ] )
% 1.01/1.39 , clause( 2489, [ equalish( 'e_2', 'e_1' ), equalish( 'e_2', 'e_1' ), ~(
% 1.01/1.39 product1( 'e_2', 'e_4', 'e_2' ) ) ] )
% 1.01/1.39 , 0, 1, substitution( 0, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2492, [ ~( product1( 'e_2', 'e_4', 'e_2' ) ) ] )
% 1.01/1.39 , clause( 9, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 1.01/1.39 , 0, clause( 2490, [ equalish( 'e_2', 'e_1' ), ~( product1( 'e_2', 'e_4',
% 1.01/1.39 'e_2' ) ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 1489, [ ~( product1( 'e_2', 'e_4', 'e_2' ) ) ] )
% 1.01/1.39 , clause( 2492, [ ~( product1( 'e_2', 'e_4', 'e_2' ) ) ] )
% 1.01/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2493, [ equalish( 'e_2', X ), ~( product1( 'e_3', 'e_4', X ) ),
% 1.01/1.39 product1( 'e_1', 'e_4', 'e_2' ) ] )
% 1.01/1.39 , clause( 1209, [ ~( product1( 'e_1', 'e_4', 'e_1' ) ) ] )
% 1.01/1.39 , 0, clause( 913, [ product1( 'e_1', 'e_4', 'e_1' ), equalish( 'e_2', X ),
% 1.01/1.39 ~( product1( 'e_3', 'e_4', X ) ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 1535, [ equalish( 'e_2', X ), product1( 'e_1', 'e_4', 'e_2' ), ~(
% 1.01/1.39 product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.39 , clause( 2493, [ equalish( 'e_2', X ), ~( product1( 'e_3', 'e_4', X ) ),
% 1.01/1.39 product1( 'e_1', 'e_4', 'e_2' ) ] )
% 1.01/1.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.01/1.39 2 ), ==>( 2, 1 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2494, [ product1( 'e_4', 'e_1', 'e_2' ), equalish( 'e_2', X ), ~(
% 1.01/1.39 product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.39 , clause( 1366, [ product1( 'e_4', 'e_1', 'e_2' ), ~( product1( 'e_1',
% 1.01/1.39 'e_4', 'e_2' ) ) ] )
% 1.01/1.39 , 1, clause( 1535, [ equalish( 'e_2', X ), product1( 'e_1', 'e_4', 'e_2' )
% 1.01/1.39 , ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.39 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 1536, [ equalish( 'e_2', X ), product1( 'e_4', 'e_1', 'e_2' ), ~(
% 1.01/1.39 product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.39 , clause( 2494, [ product1( 'e_4', 'e_1', 'e_2' ), equalish( 'e_2', X ),
% 1.01/1.39 ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 1.01/1.39 0 ), ==>( 2, 2 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2495, [ equalish( 'e_2', 'e_1' ), product1( 'e_4', 'e_1', 'e_2' ),
% 1.01/1.39 equalish( X, 'e_2' ), ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.39 , clause( 1536, [ equalish( 'e_2', X ), product1( 'e_4', 'e_1', 'e_2' ),
% 1.01/1.39 ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.39 , 2, clause( 732, [ equalish( X, 'e_2' ), product1( 'e_3', 'e_4', 'e_1' ),
% 1.01/1.39 ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.39 , 1, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [ :=( X, X )] )
% 1.01/1.39 ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2496, [ product1( 'e_4', 'e_1', 'e_2' ), equalish( X, 'e_2' ), ~(
% 1.01/1.39 product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.39 , clause( 9, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 1.01/1.39 , 0, clause( 2495, [ equalish( 'e_2', 'e_1' ), product1( 'e_4', 'e_1',
% 1.01/1.39 'e_2' ), equalish( X, 'e_2' ), ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 1559, [ equalish( X, 'e_2' ), ~( product1( 'e_4', 'e_3', X ) ),
% 1.01/1.39 product1( 'e_4', 'e_1', 'e_2' ) ] )
% 1.01/1.39 , clause( 2496, [ product1( 'e_4', 'e_1', 'e_2' ), equalish( X, 'e_2' ),
% 1.01/1.39 ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 1.01/1.39 0 ), ==>( 2, 1 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2497, [ equalish( 'e_4', X ), product1( 'e_1', 'e_4', 'e_2' ), ~(
% 1.01/1.39 product1( 'e_1', X, 'e_3' ) ) ] )
% 1.01/1.39 , clause( 1209, [ ~( product1( 'e_1', 'e_4', 'e_1' ) ) ] )
% 1.01/1.39 , 0, clause( 923, [ product1( 'e_1', 'e_4', 'e_1' ), equalish( 'e_4', X ),
% 1.01/1.39 product1( 'e_1', 'e_4', 'e_2' ), ~( product1( 'e_1', X, 'e_3' ) ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 1602, [ equalish( 'e_4', X ), product1( 'e_1', 'e_4', 'e_2' ), ~(
% 1.01/1.39 product1( 'e_1', X, 'e_3' ) ) ] )
% 1.01/1.39 , clause( 2497, [ equalish( 'e_4', X ), product1( 'e_1', 'e_4', 'e_2' ),
% 1.01/1.39 ~( product1( 'e_1', X, 'e_3' ) ) ] )
% 1.01/1.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.01/1.39 1 ), ==>( 2, 2 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2498, [ equalish( 'e_4', 'e_2' ), product1( 'e_1', 'e_4', 'e_2' ),
% 1.01/1.39 product1( 'e_1', 'e_2', 'e_1' ), product1( 'e_1', 'e_2', 'e_2' ) ] )
% 1.01/1.39 , clause( 1602, [ equalish( 'e_4', X ), product1( 'e_1', 'e_4', 'e_2' ),
% 1.01/1.39 ~( product1( 'e_1', X, 'e_3' ) ) ] )
% 1.01/1.39 , 2, clause( 985, [ product1( 'e_1', 'e_2', 'e_1' ), product1( 'e_1', 'e_2'
% 1.01/1.39 , 'e_2' ), product1( 'e_1', 'e_2', 'e_3' ) ] )
% 1.01/1.39 , 2, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2499, [ product1( 'e_1', 'e_4', 'e_2' ), product1( 'e_1', 'e_2',
% 1.01/1.39 'e_1' ), product1( 'e_1', 'e_2', 'e_2' ) ] )
% 1.01/1.39 , clause( 16, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 1.01/1.39 , 0, clause( 2498, [ equalish( 'e_4', 'e_2' ), product1( 'e_1', 'e_4',
% 1.01/1.39 'e_2' ), product1( 'e_1', 'e_2', 'e_1' ), product1( 'e_1', 'e_2', 'e_2' )
% 1.01/1.39 ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 1603, [ product1( 'e_1', 'e_2', 'e_1' ), product1( 'e_1', 'e_2',
% 1.01/1.39 'e_2' ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 1.01/1.39 , clause( 2499, [ product1( 'e_1', 'e_4', 'e_2' ), product1( 'e_1', 'e_2',
% 1.01/1.39 'e_1' ), product1( 'e_1', 'e_2', 'e_2' ) ] )
% 1.01/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 1.01/1.39 , 1 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2500, [ equalish( 'e_3', X ), ~( product1( 'e_1', 'e_4', X ) ),
% 1.01/1.39 product1( 'e_1', 'e_4', 'e_2' ) ] )
% 1.01/1.39 , clause( 1209, [ ~( product1( 'e_1', 'e_4', 'e_1' ) ) ] )
% 1.01/1.39 , 0, clause( 925, [ product1( 'e_1', 'e_4', 'e_1' ), equalish( 'e_3', X ),
% 1.01/1.39 ~( product1( 'e_1', 'e_4', X ) ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 1605, [ equalish( 'e_3', X ), product1( 'e_1', 'e_4', 'e_2' ), ~(
% 1.01/1.39 product1( 'e_1', 'e_4', X ) ) ] )
% 1.01/1.39 , clause( 2500, [ equalish( 'e_3', X ), ~( product1( 'e_1', 'e_4', X ) ),
% 1.01/1.39 product1( 'e_1', 'e_4', 'e_2' ) ] )
% 1.01/1.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.01/1.39 2 ), ==>( 2, 1 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2501, [ product1( 'e_3', 'e_4', 'e_1' ), equalish( 'e_3', X ), ~(
% 1.01/1.39 product1( 'e_1', 'e_4', X ) ) ] )
% 1.01/1.39 , clause( 382, [ product1( 'e_3', 'e_4', 'e_1' ), ~( product1( 'e_1', 'e_4'
% 1.01/1.39 , 'e_2' ) ) ] )
% 1.01/1.39 , 1, clause( 1605, [ equalish( 'e_3', X ), product1( 'e_1', 'e_4', 'e_2' )
% 1.01/1.39 , ~( product1( 'e_1', 'e_4', X ) ) ] )
% 1.01/1.39 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 1615, [ equalish( 'e_3', X ), product1( 'e_3', 'e_4', 'e_1' ), ~(
% 1.01/1.39 product1( 'e_1', 'e_4', X ) ) ] )
% 1.01/1.39 , clause( 2501, [ product1( 'e_3', 'e_4', 'e_1' ), equalish( 'e_3', X ),
% 1.01/1.39 ~( product1( 'e_1', 'e_4', X ) ) ] )
% 1.01/1.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 1.01/1.39 0 ), ==>( 2, 2 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2502, [ product1( 'e_1', 'e_4', 'e_2' ), product1( 'e_1', 'e_2',
% 1.01/1.39 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 1.01/1.39 , clause( 1353, [ ~( product1( 'e_1', 'e_2', 'e_2' ) ), product1( 'e_1',
% 1.01/1.39 'e_4', 'e_2' ) ] )
% 1.01/1.39 , 0, clause( 1603, [ product1( 'e_1', 'e_2', 'e_1' ), product1( 'e_1',
% 1.01/1.39 'e_2', 'e_2' ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 1.01/1.39 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 factor(
% 1.01/1.39 clause( 2503, [ product1( 'e_1', 'e_4', 'e_2' ), product1( 'e_1', 'e_2',
% 1.01/1.39 'e_1' ) ] )
% 1.01/1.39 , clause( 2502, [ product1( 'e_1', 'e_4', 'e_2' ), product1( 'e_1', 'e_2',
% 1.01/1.39 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 1.01/1.39 , 0, 2, substitution( 0, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 1703, [ product1( 'e_1', 'e_2', 'e_1' ), product1( 'e_1', 'e_4',
% 1.01/1.39 'e_2' ) ] )
% 1.01/1.39 , clause( 2503, [ product1( 'e_1', 'e_4', 'e_2' ), product1( 'e_1', 'e_2',
% 1.01/1.39 'e_1' ) ] )
% 1.01/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 1.01/1.39 ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2504, [ equalish( 'e_3', 'e_2' ), product1( 'e_3', 'e_4', 'e_1' ),
% 1.01/1.39 product1( 'e_1', 'e_2', 'e_1' ) ] )
% 1.01/1.39 , clause( 1615, [ equalish( 'e_3', X ), product1( 'e_3', 'e_4', 'e_1' ),
% 1.01/1.39 ~( product1( 'e_1', 'e_4', X ) ) ] )
% 1.01/1.39 , 2, clause( 1703, [ product1( 'e_1', 'e_2', 'e_1' ), product1( 'e_1',
% 1.01/1.39 'e_4', 'e_2' ) ] )
% 1.01/1.39 , 1, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2505, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_1', 'e_2',
% 1.01/1.39 'e_1' ) ] )
% 1.01/1.39 , clause( 13, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 1.01/1.39 , 0, clause( 2504, [ equalish( 'e_3', 'e_2' ), product1( 'e_3', 'e_4',
% 1.01/1.39 'e_1' ), product1( 'e_1', 'e_2', 'e_1' ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 1705, [ product1( 'e_1', 'e_2', 'e_1' ), product1( 'e_3', 'e_4',
% 1.01/1.39 'e_1' ) ] )
% 1.01/1.39 , clause( 2505, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_1', 'e_2',
% 1.01/1.39 'e_1' ) ] )
% 1.01/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 1.01/1.39 ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2506, [ equalish( 'e_1', 'e_2' ), equalish( 'e_1', X ), ~( product1(
% 1.01/1.39 'e_4', 'e_3', X ) ), product1( 'e_1', 'e_2', 'e_1' ) ] )
% 1.01/1.39 , clause( 535, [ equalish( X, 'e_2' ), equalish( 'e_1', Y ), ~( product1(
% 1.01/1.39 'e_4', 'e_3', Y ) ), ~( product1( 'e_3', 'e_4', X ) ) ] )
% 1.01/1.39 , 3, clause( 1705, [ product1( 'e_1', 'e_2', 'e_1' ), product1( 'e_3',
% 1.01/1.39 'e_4', 'e_1' ) ] )
% 1.01/1.39 , 1, substitution( 0, [ :=( X, 'e_1' ), :=( Y, X )] ), substitution( 1, [] )
% 1.01/1.39 ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2510, [ equalish( 'e_1', 'e_2' ), equalish( 'e_1', 'e_2' ),
% 1.01/1.39 equalish( 'e_1', X ), ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.39 , clause( 47, [ equalish( X, Y ), ~( product1( X, Y, X ) ) ] )
% 1.01/1.39 , 1, clause( 2506, [ equalish( 'e_1', 'e_2' ), equalish( 'e_1', X ), ~(
% 1.01/1.39 product1( 'e_4', 'e_3', X ) ), product1( 'e_1', 'e_2', 'e_1' ) ] )
% 1.01/1.39 , 3, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_2' )] ), substitution( 1
% 1.01/1.39 , [ :=( X, X )] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 factor(
% 1.01/1.39 clause( 2511, [ equalish( 'e_1', 'e_2' ), equalish( 'e_1', X ), ~( product1(
% 1.01/1.39 'e_4', 'e_3', X ) ) ] )
% 1.01/1.39 , clause( 2510, [ equalish( 'e_1', 'e_2' ), equalish( 'e_1', 'e_2' ),
% 1.01/1.39 equalish( 'e_1', X ), ~( product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.39 , 0, 1, substitution( 0, [ :=( X, X )] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 1761, [ equalish( 'e_1', 'e_2' ), equalish( 'e_1', X ), ~( product1(
% 1.01/1.39 'e_4', 'e_3', X ) ) ] )
% 1.01/1.39 , clause( 2511, [ equalish( 'e_1', 'e_2' ), equalish( 'e_1', X ), ~(
% 1.01/1.39 product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.01/1.39 1 ), ==>( 2, 2 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 factor(
% 1.01/1.39 clause( 2513, [ equalish( 'e_1', 'e_2' ), ~( product1( 'e_4', 'e_3', 'e_2'
% 1.01/1.39 ) ) ] )
% 1.01/1.39 , clause( 1761, [ equalish( 'e_1', 'e_2' ), equalish( 'e_1', X ), ~(
% 1.01/1.39 product1( 'e_4', 'e_3', X ) ) ] )
% 1.01/1.39 , 0, 1, substitution( 0, [ :=( X, 'e_2' )] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2514, [ ~( product1( 'e_4', 'e_3', 'e_2' ) ) ] )
% 1.01/1.39 , clause( 6, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 1.01/1.39 , 0, clause( 2513, [ equalish( 'e_1', 'e_2' ), ~( product1( 'e_4', 'e_3',
% 1.01/1.39 'e_2' ) ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 1800, [ ~( product1( 'e_4', 'e_3', 'e_2' ) ) ] )
% 1.01/1.39 , clause( 2514, [ ~( product1( 'e_4', 'e_3', 'e_2' ) ) ] )
% 1.01/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2515, [ product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.39 , clause( 1800, [ ~( product1( 'e_4', 'e_3', 'e_2' ) ) ] )
% 1.01/1.39 , 0, clause( 117, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3'
% 1.01/1.39 , 'e_2' ) ] )
% 1.01/1.39 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 1801, [ product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.39 , clause( 2515, [ product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2516, [ equalish( 'e_1', 'e_2' ), product1( 'e_4', 'e_1', 'e_2' ) ]
% 1.01/1.39 )
% 1.01/1.39 , clause( 1559, [ equalish( X, 'e_2' ), ~( product1( 'e_4', 'e_3', X ) ),
% 1.01/1.39 product1( 'e_4', 'e_1', 'e_2' ) ] )
% 1.01/1.39 , 1, clause( 1801, [ product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.39 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2517, [ product1( 'e_4', 'e_1', 'e_2' ) ] )
% 1.01/1.39 , clause( 6, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 1.01/1.39 , 0, clause( 2516, [ equalish( 'e_1', 'e_2' ), product1( 'e_4', 'e_1',
% 1.01/1.39 'e_2' ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 1804, [ product1( 'e_4', 'e_1', 'e_2' ) ] )
% 1.01/1.39 , clause( 2517, [ product1( 'e_4', 'e_1', 'e_2' ) ] )
% 1.01/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2518, [ equalish( 'e_1', 'e_2' ), ~( product1( 'e_2', 'e_4', 'e_1'
% 1.01/1.39 ) ) ] )
% 1.01/1.39 , clause( 872, [ equalish( X, 'e_2' ), ~( product1( 'e_4', 'e_3', X ) ),
% 1.01/1.39 ~( product1( 'e_2', 'e_4', 'e_1' ) ) ] )
% 1.01/1.39 , 1, clause( 1801, [ product1( 'e_4', 'e_3', 'e_1' ) ] )
% 1.01/1.39 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2519, [ ~( product1( 'e_2', 'e_4', 'e_1' ) ) ] )
% 1.01/1.39 , clause( 6, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 1.01/1.39 , 0, clause( 2518, [ equalish( 'e_1', 'e_2' ), ~( product1( 'e_2', 'e_4',
% 1.01/1.39 'e_1' ) ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 1819, [ ~( product1( 'e_2', 'e_4', 'e_1' ) ) ] )
% 1.01/1.39 , clause( 2519, [ ~( product1( 'e_2', 'e_4', 'e_1' ) ) ] )
% 1.01/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2521, [ equalish( X, 'e_4' ), ~( product1( X, 'e_1', 'e_2' ) ) ] )
% 1.01/1.39 , clause( 21, [ equalish( X, T ), ~( product1( X, Y, Z ) ), ~( product1( T
% 1.01/1.39 , Y, Z ) ) ] )
% 1.01/1.39 , 2, clause( 1804, [ product1( 'e_4', 'e_1', 'e_2' ) ] )
% 1.01/1.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_1' ), :=( Z, 'e_2' ), :=( T,
% 1.01/1.39 'e_4' )] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 1840, [ equalish( X, 'e_4' ), ~( product1( X, 'e_1', 'e_2' ) ) ] )
% 1.01/1.39 , clause( 2521, [ equalish( X, 'e_4' ), ~( product1( X, 'e_1', 'e_2' ) ) ]
% 1.01/1.39 )
% 1.01/1.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.01/1.39 1 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2522, [ product1( 'e_2', 'e_1', 'e_1' ), product1( 'e_2', 'e_1',
% 1.01/1.39 'e_2' ), product1( 'e_2', 'e_1', 'e_3' ) ] )
% 1.01/1.39 , clause( 964, [ ~( 'group_element'( 'e_1' ) ), product1( 'e_2', 'e_1',
% 1.01/1.39 'e_1' ), product1( 'e_2', 'e_1', 'e_2' ), product1( 'e_2', 'e_1', 'e_3' )
% 1.01/1.39 ] )
% 1.01/1.39 , 0, clause( 2, [ 'group_element'( 'e_1' ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2523, [ product1( 'e_2', 'e_1', 'e_2' ), product1( 'e_2', 'e_1',
% 1.01/1.39 'e_3' ) ] )
% 1.01/1.39 , clause( 954, [ ~( product1( 'e_2', 'e_1', 'e_1' ) ) ] )
% 1.01/1.39 , 0, clause( 2522, [ product1( 'e_2', 'e_1', 'e_1' ), product1( 'e_2',
% 1.01/1.39 'e_1', 'e_2' ), product1( 'e_2', 'e_1', 'e_3' ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 1844, [ product1( 'e_2', 'e_1', 'e_2' ), product1( 'e_2', 'e_1',
% 1.01/1.39 'e_3' ) ] )
% 1.01/1.39 , clause( 2523, [ product1( 'e_2', 'e_1', 'e_2' ), product1( 'e_2', 'e_1',
% 1.01/1.39 'e_3' ) ] )
% 1.01/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 1.01/1.39 ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2525, [ equalish( 'e_1', X ), ~( product1( 'e_2', X, 'e_3' ) ),
% 1.01/1.39 product1( 'e_2', 'e_1', 'e_2' ) ] )
% 1.01/1.39 , clause( 20, [ equalish( Y, T ), ~( product1( X, Y, Z ) ), ~( product1( X
% 1.01/1.39 , T, Z ) ) ] )
% 1.01/1.39 , 1, clause( 1844, [ product1( 'e_2', 'e_1', 'e_2' ), product1( 'e_2',
% 1.01/1.39 'e_1', 'e_3' ) ] )
% 1.01/1.39 , 1, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_1' ), :=( Z, 'e_3' ),
% 1.01/1.39 :=( T, X )] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 1877, [ equalish( 'e_1', X ), product1( 'e_2', 'e_1', 'e_2' ), ~(
% 1.01/1.39 product1( 'e_2', X, 'e_3' ) ) ] )
% 1.01/1.39 , clause( 2525, [ equalish( 'e_1', X ), ~( product1( 'e_2', X, 'e_3' ) ),
% 1.01/1.39 product1( 'e_2', 'e_1', 'e_2' ) ] )
% 1.01/1.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.01/1.39 2 ), ==>( 2, 1 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2529, [ equalish( 'e_3', X ), ~( product1( 'e_2', 'e_1', X ) ),
% 1.01/1.39 product1( 'e_2', 'e_1', 'e_2' ) ] )
% 1.01/1.39 , clause( 19, [ equalish( Z, T ), ~( product1( X, Y, Z ) ), ~( product1( X
% 1.01/1.39 , Y, T ) ) ] )
% 1.01/1.39 , 1, clause( 1844, [ product1( 'e_2', 'e_1', 'e_2' ), product1( 'e_2',
% 1.01/1.39 'e_1', 'e_3' ) ] )
% 1.01/1.39 , 1, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_1' ), :=( Z, 'e_3' ),
% 1.01/1.39 :=( T, X )] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 1879, [ equalish( 'e_3', X ), ~( product1( 'e_2', 'e_1', X ) ),
% 1.01/1.39 product1( 'e_2', 'e_1', 'e_2' ) ] )
% 1.01/1.39 , clause( 2529, [ equalish( 'e_3', X ), ~( product1( 'e_2', 'e_1', X ) ),
% 1.01/1.39 product1( 'e_2', 'e_1', 'e_2' ) ] )
% 1.01/1.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.01/1.39 1 ), ==>( 2, 2 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2535, [ equalish( X, 'e_3' ), ~( product1( 'e_2', 'e_1', X ) ),
% 1.01/1.39 product1( 'e_2', 'e_1', 'e_2' ) ] )
% 1.01/1.39 , clause( 19, [ equalish( Z, T ), ~( product1( X, Y, Z ) ), ~( product1( X
% 1.01/1.39 , Y, T ) ) ] )
% 1.01/1.39 , 2, clause( 1844, [ product1( 'e_2', 'e_1', 'e_2' ), product1( 'e_2',
% 1.01/1.39 'e_1', 'e_3' ) ] )
% 1.01/1.39 , 1, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_1' ), :=( Z, X ), :=( T,
% 1.01/1.39 'e_3' )] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 1880, [ equalish( X, 'e_3' ), ~( product1( 'e_2', 'e_1', X ) ),
% 1.01/1.39 product1( 'e_2', 'e_1', 'e_2' ) ] )
% 1.01/1.39 , clause( 2535, [ equalish( X, 'e_3' ), ~( product1( 'e_2', 'e_1', X ) ),
% 1.01/1.39 product1( 'e_2', 'e_1', 'e_2' ) ] )
% 1.01/1.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.01/1.39 1 ), ==>( 2, 2 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2536, [ equalish( 'e_1', 'e_4' ), product1( 'e_2', 'e_1', 'e_2' ),
% 1.01/1.39 product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4', 'e_2' ) ] )
% 1.01/1.39 , clause( 1877, [ equalish( 'e_1', X ), product1( 'e_2', 'e_1', 'e_2' ),
% 1.01/1.39 ~( product1( 'e_2', X, 'e_3' ) ) ] )
% 1.01/1.39 , 2, clause( 1050, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2',
% 1.01/1.39 'e_4', 'e_2' ), product1( 'e_2', 'e_4', 'e_3' ) ] )
% 1.01/1.39 , 2, substitution( 0, [ :=( X, 'e_4' )] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2537, [ product1( 'e_2', 'e_1', 'e_2' ), product1( 'e_2', 'e_4',
% 1.01/1.39 'e_1' ), product1( 'e_2', 'e_4', 'e_2' ) ] )
% 1.01/1.39 , clause( 8, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 1.01/1.39 , 0, clause( 2536, [ equalish( 'e_1', 'e_4' ), product1( 'e_2', 'e_1',
% 1.01/1.39 'e_2' ), product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4', 'e_2' )
% 1.01/1.39 ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 1883, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_1',
% 1.01/1.39 'e_2' ), product1( 'e_2', 'e_4', 'e_2' ) ] )
% 1.01/1.39 , clause( 2537, [ product1( 'e_2', 'e_1', 'e_2' ), product1( 'e_2', 'e_4',
% 1.01/1.39 'e_1' ), product1( 'e_2', 'e_4', 'e_2' ) ] )
% 1.01/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 1.01/1.39 , 2 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2538, [ equalish( 'e_2', 'e_4' ), equalish( 'e_3', X ), ~( product1(
% 1.01/1.39 'e_2', 'e_1', X ) ) ] )
% 1.01/1.39 , clause( 1840, [ equalish( X, 'e_4' ), ~( product1( X, 'e_1', 'e_2' ) ) ]
% 1.01/1.39 )
% 1.01/1.39 , 1, clause( 1879, [ equalish( 'e_3', X ), ~( product1( 'e_2', 'e_1', X ) )
% 1.01/1.39 , product1( 'e_2', 'e_1', 'e_2' ) ] )
% 1.01/1.39 , 2, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [ :=( X, X )] )
% 1.01/1.39 ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2539, [ equalish( 'e_3', X ), ~( product1( 'e_2', 'e_1', X ) ) ] )
% 1.01/1.39 , clause( 11, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 1.01/1.39 , 0, clause( 2538, [ equalish( 'e_2', 'e_4' ), equalish( 'e_3', X ), ~(
% 1.01/1.39 product1( 'e_2', 'e_1', X ) ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 1884, [ equalish( 'e_3', X ), ~( product1( 'e_2', 'e_1', X ) ) ] )
% 1.01/1.39 , clause( 2539, [ equalish( 'e_3', X ), ~( product1( 'e_2', 'e_1', X ) ) ]
% 1.01/1.39 )
% 1.01/1.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.01/1.39 1 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2540, [ equalish( 'e_3', 'e_2' ), equalish( X, 'e_3' ), ~( product1(
% 1.01/1.39 'e_2', 'e_1', X ) ) ] )
% 1.01/1.39 , clause( 1884, [ equalish( 'e_3', X ), ~( product1( 'e_2', 'e_1', X ) ) ]
% 1.01/1.39 )
% 1.01/1.39 , 1, clause( 1880, [ equalish( X, 'e_3' ), ~( product1( 'e_2', 'e_1', X ) )
% 1.01/1.39 , product1( 'e_2', 'e_1', 'e_2' ) ] )
% 1.01/1.39 , 2, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [ :=( X, X )] )
% 1.01/1.39 ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2541, [ equalish( X, 'e_3' ), ~( product1( 'e_2', 'e_1', X ) ) ] )
% 1.01/1.39 , clause( 13, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 1.01/1.39 , 0, clause( 2540, [ equalish( 'e_3', 'e_2' ), equalish( X, 'e_3' ), ~(
% 1.01/1.39 product1( 'e_2', 'e_1', X ) ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 1885, [ equalish( X, 'e_3' ), ~( product1( 'e_2', 'e_1', X ) ) ] )
% 1.01/1.39 , clause( 2541, [ equalish( X, 'e_3' ), ~( product1( 'e_2', 'e_1', X ) ) ]
% 1.01/1.39 )
% 1.01/1.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.01/1.39 1 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2542, [ product1( 'e_2', 'e_1', 'e_2' ), product1( 'e_2', 'e_4',
% 1.01/1.39 'e_2' ) ] )
% 1.01/1.39 , clause( 1819, [ ~( product1( 'e_2', 'e_4', 'e_1' ) ) ] )
% 1.01/1.39 , 0, clause( 1883, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2',
% 1.01/1.39 'e_1', 'e_2' ), product1( 'e_2', 'e_4', 'e_2' ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2543, [ product1( 'e_2', 'e_1', 'e_2' ) ] )
% 1.01/1.39 , clause( 1489, [ ~( product1( 'e_2', 'e_4', 'e_2' ) ) ] )
% 1.01/1.39 , 0, clause( 2542, [ product1( 'e_2', 'e_1', 'e_2' ), product1( 'e_2',
% 1.01/1.39 'e_4', 'e_2' ) ] )
% 1.01/1.39 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 1896, [ product1( 'e_2', 'e_1', 'e_2' ) ] )
% 1.01/1.39 , clause( 2543, [ product1( 'e_2', 'e_1', 'e_2' ) ] )
% 1.01/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2544, [ equalish( 'e_2', 'e_3' ) ] )
% 1.01/1.39 , clause( 1885, [ equalish( X, 'e_3' ), ~( product1( 'e_2', 'e_1', X ) ) ]
% 1.01/1.39 )
% 1.01/1.39 , 1, clause( 1896, [ product1( 'e_2', 'e_1', 'e_2' ) ] )
% 1.01/1.39 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 resolution(
% 1.01/1.39 clause( 2545, [] )
% 1.01/1.39 , clause( 10, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 1.01/1.39 , 0, clause( 2544, [ equalish( 'e_2', 'e_3' ) ] )
% 1.01/1.39 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 subsumption(
% 1.01/1.39 clause( 1897, [] )
% 1.01/1.39 , clause( 2545, [] )
% 1.01/1.39 , substitution( 0, [] ), permutation( 0, [] ) ).
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 end.
% 1.01/1.39
% 1.01/1.39 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.01/1.39
% 1.01/1.39 Memory use:
% 1.01/1.39
% 1.01/1.39 space for terms: 26982
% 1.01/1.39 space for clauses: 75272
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 clauses generated: 43378
% 1.01/1.39 clauses kept: 1898
% 1.01/1.39 clauses selected: 1204
% 1.01/1.39 clauses deleted: 461
% 1.01/1.39 clauses inuse deleted: 73
% 1.01/1.39
% 1.01/1.39 subsentry: 167372
% 1.01/1.39 literals s-matched: 151486
% 1.01/1.39 literals matched: 151095
% 1.01/1.39 full subsumption: 105820
% 1.01/1.39
% 1.01/1.39 checksum: -996539149
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 Bliksem ended
%------------------------------------------------------------------------------