TSTP Solution File: GRP124-6.004 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP124-6.004 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 07:35:05 EDT 2022
% Result : Unsatisfiable 0.70s 1.10s
% Output : Refutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP124-6.004 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n027.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 14:08:47 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.70/1.10 *** allocated 10000 integers for termspace/termends
% 0.70/1.10 *** allocated 10000 integers for clauses
% 0.70/1.10 *** allocated 10000 integers for justifications
% 0.70/1.10 Bliksem 1.12
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Automatic Strategy Selection
% 0.70/1.10
% 0.70/1.10 Clauses:
% 0.70/1.10 [
% 0.70/1.10 [ 'group_element'( 'e_1' ) ],
% 0.70/1.10 [ 'group_element'( 'e_2' ) ],
% 0.70/1.10 [ 'group_element'( 'e_3' ) ],
% 0.70/1.10 [ 'group_element'( 'e_4' ) ],
% 0.70/1.10 [ ~( equalish( 'e_1', 'e_2' ) ) ],
% 0.70/1.10 [ ~( equalish( 'e_1', 'e_3' ) ) ],
% 0.70/1.10 [ ~( equalish( 'e_1', 'e_4' ) ) ],
% 0.70/1.10 [ ~( equalish( 'e_2', 'e_1' ) ) ],
% 0.70/1.10 [ ~( equalish( 'e_2', 'e_3' ) ) ],
% 0.70/1.10 [ ~( equalish( 'e_2', 'e_4' ) ) ],
% 0.70/1.10 [ ~( equalish( 'e_3', 'e_1' ) ) ],
% 0.70/1.10 [ ~( equalish( 'e_3', 'e_2' ) ) ],
% 0.70/1.10 [ ~( equalish( 'e_3', 'e_4' ) ) ],
% 0.70/1.10 [ ~( equalish( 'e_4', 'e_1' ) ) ],
% 0.70/1.10 [ ~( equalish( 'e_4', 'e_2' ) ) ],
% 0.70/1.10 [ ~( equalish( 'e_4', 'e_3' ) ) ],
% 0.70/1.10 [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ), product1( X, Y,
% 0.70/1.10 'e_1' ), product1( X, Y, 'e_2' ), product1( X, Y, 'e_3' ), product1( X, Y
% 0.70/1.10 , 'e_4' ) ],
% 0.70/1.10 [ ~( product1( X, Y, Z ) ), ~( product1( X, Y, T ) ), equalish( Z, T ) ]
% 0.70/1.10 ,
% 0.70/1.10 [ ~( product1( X, Y, Z ) ), ~( product1( X, T, Z ) ), equalish( Y, T ) ]
% 0.70/1.10 ,
% 0.70/1.10 [ ~( product1( X, Y, Z ) ), ~( product1( T, Y, Z ) ), equalish( X, T ) ]
% 0.70/1.10 ,
% 0.70/1.10 [ product1( X, X, X ) ],
% 0.70/1.10 [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ), product2( X, Y,
% 0.70/1.10 'e_1' ), product2( X, Y, 'e_2' ), product2( X, Y, 'e_3' ), product2( X, Y
% 0.70/1.10 , 'e_4' ) ],
% 0.70/1.10 [ ~( product2( X, Y, Z ) ), ~( product2( X, Y, T ) ), equalish( Z, T ) ]
% 0.70/1.10 ,
% 0.70/1.10 [ ~( product2( X, Y, Z ) ), ~( product2( X, T, Z ) ), equalish( Y, T ) ]
% 0.70/1.10 ,
% 0.70/1.10 [ ~( product2( X, Y, Z ) ), ~( product2( T, Y, Z ) ), equalish( X, T ) ]
% 0.70/1.10 ,
% 0.70/1.10 [ product2( X, X, X ) ],
% 0.70/1.10 [ ~( product1( X, Y, Z ) ), ~( product1( Z, X, T ) ), product2( T, Y, X
% 0.70/1.10 ) ]
% 0.70/1.10 ] .
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 percentage equality = 0.000000, percentage horn = 0.925926
% 0.70/1.10 This is a near-Horn, non-equality problem
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Options Used:
% 0.70/1.10
% 0.70/1.10 useres = 1
% 0.70/1.10 useparamod = 0
% 0.70/1.10 useeqrefl = 0
% 0.70/1.10 useeqfact = 0
% 0.70/1.10 usefactor = 1
% 0.70/1.10 usesimpsplitting = 0
% 0.70/1.10 usesimpdemod = 0
% 0.70/1.10 usesimpres = 4
% 0.70/1.10
% 0.70/1.10 resimpinuse = 1000
% 0.70/1.10 resimpclauses = 20000
% 0.70/1.10 substype = standard
% 0.70/1.10 backwardsubs = 1
% 0.70/1.10 selectoldest = 5
% 0.70/1.10
% 0.70/1.10 litorderings [0] = split
% 0.70/1.10 litorderings [1] = liftord
% 0.70/1.10
% 0.70/1.10 termordering = none
% 0.70/1.10
% 0.70/1.10 litapriori = 1
% 0.70/1.10 termapriori = 0
% 0.70/1.10 litaposteriori = 0
% 0.70/1.10 termaposteriori = 0
% 0.70/1.10 demodaposteriori = 0
% 0.70/1.10 ordereqreflfact = 0
% 0.70/1.10
% 0.70/1.10 litselect = negative
% 0.70/1.10
% 0.70/1.10 maxweight = 30000
% 0.70/1.10 maxdepth = 30000
% 0.70/1.10 maxlength = 115
% 0.70/1.10 maxnrvars = 195
% 0.70/1.10 excuselevel = 0
% 0.70/1.10 increasemaxweight = 0
% 0.70/1.10
% 0.70/1.10 maxselected = 10000000
% 0.70/1.10 maxnrclauses = 10000000
% 0.70/1.10
% 0.70/1.10 showgenerated = 0
% 0.70/1.10 showkept = 0
% 0.70/1.10 showselected = 0
% 0.70/1.10 showdeleted = 0
% 0.70/1.10 showresimp = 1
% 0.70/1.10 showstatus = 2000
% 0.70/1.10
% 0.70/1.10 prologoutput = 1
% 0.70/1.10 nrgoals = 5000000
% 0.70/1.10 totalproof = 1
% 0.70/1.10
% 0.70/1.10 Symbols occurring in the translation:
% 0.70/1.10
% 0.70/1.10 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.70/1.10 . [1, 2] (w:1, o:25, a:1, s:1, b:0),
% 0.70/1.10 ! [4, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.70/1.10 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.10 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.10 'e_1' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.70/1.10 'group_element' [40, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.70/1.10 'e_2' [41, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.70/1.10 'e_3' [42, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.70/1.10 'e_4' [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.70/1.10 equalish [44, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.70/1.10 product1 [47, 3] (w:1, o:51, a:1, s:1, b:0),
% 0.70/1.10 product2 [50, 3] (w:1, o:52, a:1, s:1, b:0).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Starting Search:
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Bliksems!, er is een bewijs:
% 0.70/1.10 % SZS status Unsatisfiable
% 0.70/1.10 % SZS output start Refutation
% 0.70/1.10
% 0.70/1.10 clause( 0, [ 'group_element'( 'e_1' ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 1, [ 'group_element'( 'e_2' ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 2, [ 'group_element'( 'e_3' ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 3, [ 'group_element'( 'e_4' ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 4, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 6, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 7, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 8, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 9, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 11, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 12, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 13, [ ~( equalish( 'e_4', 'e_1' ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 14, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 15, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 16, [ ~( 'group_element'( X ) ), product1( X, Y, 'e_4' ), product1(
% 0.70/1.10 X, Y, 'e_1' ), product1( X, Y, 'e_2' ), product1( X, Y, 'e_3' ), ~(
% 0.70/1.10 'group_element'( Y ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 18, [ equalish( Y, T ), ~( product1( X, Y, Z ) ), ~( product1( X, T
% 0.70/1.10 , Z ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 19, [ equalish( X, T ), ~( product1( X, Y, Z ) ), ~( product1( T, Y
% 0.70/1.10 , Z ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 20, [ product1( X, X, X ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 22, [ equalish( Z, T ), ~( product2( X, Y, Z ) ), ~( product2( X, Y
% 0.70/1.10 , T ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 25, [ product2( X, X, X ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 26, [ ~( product1( X, Y, Z ) ), product2( T, Y, X ), ~( product1( Z
% 0.70/1.10 , X, T ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 36, [ product1( X, 'e_1', 'e_4' ), product1( X, 'e_1', 'e_1' ),
% 0.70/1.10 product1( X, 'e_1', 'e_2' ), product1( X, 'e_1', 'e_3' ), ~(
% 0.70/1.10 'group_element'( X ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 37, [ product1( X, 'e_2', 'e_4' ), product1( X, 'e_2', 'e_1' ),
% 0.70/1.10 product1( X, 'e_2', 'e_2' ), product1( X, 'e_2', 'e_3' ), ~(
% 0.70/1.10 'group_element'( X ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 38, [ product1( X, 'e_3', 'e_4' ), product1( X, 'e_3', 'e_1' ),
% 0.70/1.10 product1( X, 'e_3', 'e_2' ), product1( X, 'e_3', 'e_3' ), ~(
% 0.70/1.10 'group_element'( X ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 39, [ product1( X, 'e_4', 'e_4' ), product1( X, 'e_4', 'e_1' ),
% 0.70/1.10 product1( X, 'e_4', 'e_2' ), product1( X, 'e_4', 'e_3' ), ~(
% 0.70/1.10 'group_element'( X ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 42, [ equalish( X, Y ), ~( product1( Y, X, Y ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 44, [ equalish( X, Y ), ~( product2( Y, Y, X ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 45, [ equalish( X, Y ), ~( product1( X, Y, Y ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 78, [ product1( 'e_4', 'e_1', 'e_1' ), product1( 'e_4', 'e_1',
% 0.70/1.10 'e_2' ), product1( 'e_4', 'e_1', 'e_3' ), product1( 'e_4', 'e_1', 'e_4' )
% 0.70/1.10 ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 83, [ product1( 'e_1', 'e_2', 'e_1' ), product1( 'e_1', 'e_2',
% 0.70/1.10 'e_2' ), product1( 'e_1', 'e_2', 'e_3' ), product1( 'e_1', 'e_2', 'e_4' )
% 0.70/1.10 ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 85, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_2',
% 0.70/1.10 'e_2' ), product1( 'e_4', 'e_2', 'e_3' ), product1( 'e_4', 'e_2', 'e_4' )
% 0.70/1.10 ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 97, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_2',
% 0.70/1.10 'e_2' ), product1( 'e_4', 'e_2', 'e_3' ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 99, [ product1( 'e_4', 'e_2', 'e_1' ), equalish( X, 'e_4' ),
% 0.70/1.10 product1( 'e_4', 'e_2', 'e_2' ), ~( product1( X, 'e_2', 'e_3' ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 103, [ product1( 'e_2', 'e_3', 'e_1' ), product1( 'e_2', 'e_3',
% 0.70/1.10 'e_2' ), product1( 'e_2', 'e_3', 'e_3' ), product1( 'e_2', 'e_3', 'e_4' )
% 0.70/1.10 ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 104, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3',
% 0.70/1.10 'e_2' ), product1( 'e_4', 'e_3', 'e_3' ), product1( 'e_4', 'e_3', 'e_4' )
% 0.70/1.10 ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 109, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4',
% 0.70/1.10 'e_2' ), product1( 'e_1', 'e_4', 'e_3' ), product1( 'e_1', 'e_4', 'e_4' )
% 0.70/1.10 ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 110, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.70/1.10 'e_2' ), product1( 'e_2', 'e_4', 'e_3' ), product1( 'e_2', 'e_4', 'e_4' )
% 0.70/1.10 ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 111, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4',
% 0.70/1.10 'e_2' ), product1( 'e_3', 'e_4', 'e_3' ), product1( 'e_3', 'e_4', 'e_4' )
% 0.70/1.10 ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 113, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4',
% 0.70/1.10 'e_2' ), product1( 'e_1', 'e_4', 'e_3' ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 115, [ product1( 'e_1', 'e_4', 'e_1' ), equalish( X, 'e_1' ),
% 0.70/1.10 product1( 'e_1', 'e_4', 'e_2' ), ~( product1( X, 'e_4', 'e_3' ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 179, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.70/1.10 'e_2' ), product1( 'e_2', 'e_4', 'e_3' ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 180, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_1', 'e_4',
% 0.70/1.10 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ), product1( 'e_2', 'e_4', 'e_2' )
% 0.70/1.10 ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 181, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.70/1.10 'e_2' ), product2( 'e_3', X, 'e_4' ), ~( product1( 'e_4', X, 'e_2' ) ) ]
% 0.70/1.10 )
% 0.70/1.10 .
% 0.70/1.10 clause( 189, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.70/1.10 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 190, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.70/1.10 'e_1' ), product2( 'e_2', X, 'e_4' ), ~( product1( 'e_4', X, 'e_1' ) ) ]
% 0.70/1.10 )
% 0.70/1.10 .
% 0.70/1.10 clause( 195, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4',
% 0.70/1.10 'e_2' ), product1( 'e_3', 'e_4', 'e_3' ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 201, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4',
% 0.70/1.10 'e_2' ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 203, [ product1( 'e_3', 'e_4', 'e_1' ), product2( 'e_2', X, 'e_4' )
% 0.70/1.10 , ~( product1( 'e_4', X, 'e_3' ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 211, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_4', 'e_2',
% 0.70/1.10 'e_1' ), product1( 'e_4', 'e_2', 'e_2' ), product2( 'e_2', 'e_2', 'e_4' )
% 0.70/1.10 ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 219, [ product1( 'e_4', 'e_2', 'e_1' ), equalish( 'e_4', 'e_2' ),
% 0.70/1.10 product1( 'e_3', 'e_4', 'e_1' ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 223, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_3', 'e_4',
% 0.70/1.10 'e_1' ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 224, [ product1( 'e_4', 'e_2', 'e_1' ), product2( 'e_1', X, 'e_4' )
% 0.70/1.10 , ~( product1( 'e_4', X, 'e_3' ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 236, [ product1( 'e_4', 'e_1', 'e_1' ), product1( 'e_4', 'e_1',
% 0.70/1.10 'e_2' ), product1( 'e_4', 'e_1', 'e_3' ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 237, [ product1( 'e_4', 'e_1', 'e_1' ), product1( 'e_4', 'e_2',
% 0.70/1.10 'e_1' ), product1( 'e_4', 'e_1', 'e_2' ), product2( 'e_1', 'e_1', 'e_4' )
% 0.70/1.10 ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 265, [ product1( 'e_4', 'e_2', 'e_1' ), equalish( 'e_4', 'e_1' ),
% 0.70/1.10 product1( 'e_4', 'e_1', 'e_2' ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 269, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_1',
% 0.70/1.10 'e_2' ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 270, [ product1( 'e_4', 'e_2', 'e_1' ), product2( 'e_2', X, 'e_1' )
% 0.70/1.10 , ~( product1( 'e_1', X, 'e_4' ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 272, [ equalish( X, 'e_1' ), product1( 'e_4', 'e_2', 'e_1' ), ~(
% 0.70/1.10 product1( 'e_4', X, 'e_2' ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 275, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_1', 'e_2',
% 0.70/1.10 'e_1' ), product1( 'e_1', 'e_2', 'e_2' ), product1( 'e_1', 'e_2', 'e_3' )
% 0.70/1.10 , product2( 'e_2', 'e_2', 'e_1' ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 288, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3',
% 0.70/1.10 'e_2' ), product1( 'e_4', 'e_3', 'e_3' ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 294, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3',
% 0.70/1.10 'e_2' ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 298, [ equalish( X, 'e_4' ), product1( 'e_4', 'e_3', 'e_1' ), ~(
% 0.70/1.10 product1( X, 'e_3', 'e_2' ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 319, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.70/1.10 'e_2' ), product1( 'e_4', 'e_3', 'e_1' ), product2( 'e_3', 'e_3', 'e_4' )
% 0.70/1.10 ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 323, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_4', 'e_3',
% 0.70/1.10 'e_1' ), product1( 'e_2', 'e_4', 'e_2' ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 329, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_2', 'e_4',
% 0.70/1.10 'e_1' ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 333, [ product1( 'e_4', 'e_3', 'e_1' ), product2( 'e_1', X, 'e_4' )
% 0.70/1.10 , ~( product1( 'e_4', X, 'e_2' ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 338, [ product1( 'e_4', 'e_3', 'e_1' ), product2( 'e_1', 'e_3',
% 0.70/1.10 'e_4' ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 340, [ equalish( X, 'e_4' ), product1( 'e_4', 'e_3', 'e_1' ), ~(
% 0.70/1.10 product2( 'e_1', 'e_3', X ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 568, [ product1( 'e_1', 'e_2', 'e_1' ), product1( 'e_4', 'e_2',
% 0.70/1.10 'e_1' ), equalish( 'e_1', 'e_2' ), product1( 'e_1', 'e_2', 'e_3' ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 572, [ product1( 'e_1', 'e_2', 'e_1' ), product1( 'e_4', 'e_2',
% 0.70/1.10 'e_1' ), product1( 'e_1', 'e_2', 'e_3' ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 574, [ product1( 'e_1', 'e_2', 'e_1' ), product1( 'e_4', 'e_2',
% 0.70/1.10 'e_1' ), product1( 'e_4', 'e_2', 'e_2' ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 580, [ equalish( 'e_2', 'e_1' ), product1( 'e_4', 'e_2', 'e_1' ) ]
% 0.70/1.10 )
% 0.70/1.10 .
% 0.70/1.10 clause( 583, [ product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 590, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.70/1.10 'e_1' ), product2( 'e_2', 'e_2', 'e_4' ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 591, [ product2( 'e_1', X, 'e_2' ), ~( product1( 'e_2', X, 'e_4' )
% 0.70/1.10 ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 593, [ equalish( X, 'e_2' ), ~( product1( 'e_4', X, 'e_1' ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 598, [ product1( 'e_2', 'e_3', 'e_1' ), product1( 'e_2', 'e_3',
% 0.70/1.10 'e_2' ), product1( 'e_2', 'e_3', 'e_3' ), product2( 'e_1', 'e_3', 'e_2' )
% 0.70/1.10 ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 609, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.70/1.10 'e_1' ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 614, [ equalish( X, 'e_4' ), product1( 'e_1', 'e_4', 'e_1' ), ~(
% 0.70/1.10 product1( 'e_2', X, 'e_1' ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 621, [ product1( 'e_2', 'e_3', 'e_1' ), equalish( 'e_2', 'e_4' ),
% 0.70/1.10 product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_2', 'e_3', 'e_3' ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 627, [ product1( 'e_2', 'e_3', 'e_1' ), product1( 'e_4', 'e_3',
% 0.70/1.10 'e_1' ), product1( 'e_2', 'e_3', 'e_3' ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 631, [ product1( 'e_2', 'e_3', 'e_1' ), product1( 'e_4', 'e_3',
% 0.70/1.10 'e_1' ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 632, [ product1( 'e_2', 'e_3', 'e_1' ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 633, [ product1( 'e_1', 'e_4', 'e_1' ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 643, [] )
% 0.70/1.10 .
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 % SZS output end Refutation
% 0.70/1.10 found a proof!
% 0.70/1.10
% 0.70/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.10
% 0.70/1.10 initialclauses(
% 0.70/1.10 [ clause( 645, [ 'group_element'( 'e_1' ) ] )
% 0.70/1.10 , clause( 646, [ 'group_element'( 'e_2' ) ] )
% 0.70/1.10 , clause( 647, [ 'group_element'( 'e_3' ) ] )
% 0.70/1.10 , clause( 648, [ 'group_element'( 'e_4' ) ] )
% 0.70/1.10 , clause( 649, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.70/1.10 , clause( 650, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.70/1.10 , clause( 651, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.70/1.10 , clause( 652, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.70/1.10 , clause( 653, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.70/1.10 , clause( 654, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 0.70/1.10 , clause( 655, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.70/1.10 , clause( 656, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.70/1.10 , clause( 657, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.70/1.10 , clause( 658, [ ~( equalish( 'e_4', 'e_1' ) ) ] )
% 0.70/1.10 , clause( 659, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.70/1.10 , clause( 660, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.70/1.10 , clause( 661, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.70/1.10 product1( X, Y, 'e_1' ), product1( X, Y, 'e_2' ), product1( X, Y, 'e_3' )
% 0.70/1.10 , product1( X, Y, 'e_4' ) ] )
% 0.70/1.10 , clause( 662, [ ~( product1( X, Y, Z ) ), ~( product1( X, Y, T ) ),
% 0.70/1.10 equalish( Z, T ) ] )
% 0.70/1.10 , clause( 663, [ ~( product1( X, Y, Z ) ), ~( product1( X, T, Z ) ),
% 0.70/1.10 equalish( Y, T ) ] )
% 0.70/1.10 , clause( 664, [ ~( product1( X, Y, Z ) ), ~( product1( T, Y, Z ) ),
% 0.70/1.10 equalish( X, T ) ] )
% 0.70/1.10 , clause( 665, [ product1( X, X, X ) ] )
% 0.70/1.10 , clause( 666, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.70/1.10 product2( X, Y, 'e_1' ), product2( X, Y, 'e_2' ), product2( X, Y, 'e_3' )
% 0.70/1.10 , product2( X, Y, 'e_4' ) ] )
% 0.70/1.10 , clause( 667, [ ~( product2( X, Y, Z ) ), ~( product2( X, Y, T ) ),
% 0.70/1.10 equalish( Z, T ) ] )
% 0.70/1.10 , clause( 668, [ ~( product2( X, Y, Z ) ), ~( product2( X, T, Z ) ),
% 0.70/1.10 equalish( Y, T ) ] )
% 0.70/1.10 , clause( 669, [ ~( product2( X, Y, Z ) ), ~( product2( T, Y, Z ) ),
% 0.70/1.10 equalish( X, T ) ] )
% 0.70/1.10 , clause( 670, [ product2( X, X, X ) ] )
% 0.70/1.10 , clause( 671, [ ~( product1( X, Y, Z ) ), ~( product1( Z, X, T ) ),
% 0.70/1.10 product2( T, Y, X ) ] )
% 0.70/1.10 ] ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 0, [ 'group_element'( 'e_1' ) ] )
% 0.70/1.10 , clause( 645, [ 'group_element'( 'e_1' ) ] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 1, [ 'group_element'( 'e_2' ) ] )
% 0.70/1.10 , clause( 646, [ 'group_element'( 'e_2' ) ] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 2, [ 'group_element'( 'e_3' ) ] )
% 0.70/1.10 , clause( 647, [ 'group_element'( 'e_3' ) ] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 3, [ 'group_element'( 'e_4' ) ] )
% 0.70/1.10 , clause( 648, [ 'group_element'( 'e_4' ) ] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 4, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.70/1.10 , clause( 649, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 6, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.70/1.10 , clause( 651, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 7, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.70/1.10 , clause( 652, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 8, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.70/1.10 , clause( 653, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 9, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 0.70/1.10 , clause( 654, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 11, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.70/1.10 , clause( 656, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 12, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.70/1.10 , clause( 657, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 13, [ ~( equalish( 'e_4', 'e_1' ) ) ] )
% 0.70/1.10 , clause( 658, [ ~( equalish( 'e_4', 'e_1' ) ) ] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 14, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.70/1.10 , clause( 659, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 15, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.70/1.10 , clause( 660, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 16, [ ~( 'group_element'( X ) ), product1( X, Y, 'e_4' ), product1(
% 0.70/1.10 X, Y, 'e_1' ), product1( X, Y, 'e_2' ), product1( X, Y, 'e_3' ), ~(
% 0.70/1.10 'group_element'( Y ) ) ] )
% 0.70/1.10 , clause( 661, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.70/1.10 product1( X, Y, 'e_1' ), product1( X, Y, 'e_2' ), product1( X, Y, 'e_3' )
% 0.70/1.10 , product1( X, Y, 'e_4' ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.11 ), ==>( 1, 5 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 ), ==>( 5, 1 )] )
% 0.70/1.11 ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 18, [ equalish( Y, T ), ~( product1( X, Y, Z ) ), ~( product1( X, T
% 0.70/1.11 , Z ) ) ] )
% 0.70/1.11 , clause( 663, [ ~( product1( X, Y, Z ) ), ~( product1( X, T, Z ) ),
% 0.70/1.11 equalish( Y, T ) ] )
% 0.70/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.70/1.11 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 19, [ equalish( X, T ), ~( product1( X, Y, Z ) ), ~( product1( T, Y
% 0.70/1.11 , Z ) ) ] )
% 0.70/1.11 , clause( 664, [ ~( product1( X, Y, Z ) ), ~( product1( T, Y, Z ) ),
% 0.70/1.11 equalish( X, T ) ] )
% 0.70/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.70/1.11 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 20, [ product1( X, X, X ) ] )
% 0.70/1.11 , clause( 665, [ product1( X, X, X ) ] )
% 0.70/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 22, [ equalish( Z, T ), ~( product2( X, Y, Z ) ), ~( product2( X, Y
% 0.70/1.11 , T ) ) ] )
% 0.70/1.11 , clause( 667, [ ~( product2( X, Y, Z ) ), ~( product2( X, Y, T ) ),
% 0.70/1.11 equalish( Z, T ) ] )
% 0.70/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.70/1.11 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 25, [ product2( X, X, X ) ] )
% 0.70/1.11 , clause( 670, [ product2( X, X, X ) ] )
% 0.70/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 26, [ ~( product1( X, Y, Z ) ), product2( T, Y, X ), ~( product1( Z
% 0.70/1.11 , X, T ) ) ] )
% 0.70/1.11 , clause( 671, [ ~( product1( X, Y, Z ) ), ~( product1( Z, X, T ) ),
% 0.70/1.11 product2( T, Y, X ) ] )
% 0.70/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.70/1.11 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 708, [ ~( 'group_element'( X ) ), product1( X, 'e_1', 'e_4' ),
% 0.70/1.11 product1( X, 'e_1', 'e_1' ), product1( X, 'e_1', 'e_2' ), product1( X,
% 0.70/1.11 'e_1', 'e_3' ) ] )
% 0.70/1.11 , clause( 16, [ ~( 'group_element'( X ) ), product1( X, Y, 'e_4' ),
% 0.70/1.11 product1( X, Y, 'e_1' ), product1( X, Y, 'e_2' ), product1( X, Y, 'e_3' )
% 0.70/1.11 , ~( 'group_element'( Y ) ) ] )
% 0.70/1.11 , 5, clause( 0, [ 'group_element'( 'e_1' ) ] )
% 0.70/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_1' )] ), substitution( 1, [] )
% 0.70/1.11 ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 36, [ product1( X, 'e_1', 'e_4' ), product1( X, 'e_1', 'e_1' ),
% 0.70/1.11 product1( X, 'e_1', 'e_2' ), product1( X, 'e_1', 'e_3' ), ~(
% 0.70/1.11 'group_element'( X ) ) ] )
% 0.70/1.11 , clause( 708, [ ~( 'group_element'( X ) ), product1( X, 'e_1', 'e_4' ),
% 0.70/1.11 product1( X, 'e_1', 'e_1' ), product1( X, 'e_1', 'e_2' ), product1( X,
% 0.70/1.11 'e_1', 'e_3' ) ] )
% 0.70/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 4 ), ==>( 1,
% 0.70/1.11 0 ), ==>( 2, 1 ), ==>( 3, 2 ), ==>( 4, 3 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 710, [ ~( 'group_element'( X ) ), product1( X, 'e_2', 'e_4' ),
% 0.70/1.11 product1( X, 'e_2', 'e_1' ), product1( X, 'e_2', 'e_2' ), product1( X,
% 0.70/1.11 'e_2', 'e_3' ) ] )
% 0.70/1.11 , clause( 16, [ ~( 'group_element'( X ) ), product1( X, Y, 'e_4' ),
% 0.70/1.11 product1( X, Y, 'e_1' ), product1( X, Y, 'e_2' ), product1( X, Y, 'e_3' )
% 0.70/1.11 , ~( 'group_element'( Y ) ) ] )
% 0.70/1.11 , 5, clause( 1, [ 'group_element'( 'e_2' ) ] )
% 0.70/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_2' )] ), substitution( 1, [] )
% 0.70/1.11 ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 37, [ product1( X, 'e_2', 'e_4' ), product1( X, 'e_2', 'e_1' ),
% 0.70/1.11 product1( X, 'e_2', 'e_2' ), product1( X, 'e_2', 'e_3' ), ~(
% 0.70/1.11 'group_element'( X ) ) ] )
% 0.70/1.11 , clause( 710, [ ~( 'group_element'( X ) ), product1( X, 'e_2', 'e_4' ),
% 0.70/1.11 product1( X, 'e_2', 'e_1' ), product1( X, 'e_2', 'e_2' ), product1( X,
% 0.70/1.11 'e_2', 'e_3' ) ] )
% 0.70/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 4 ), ==>( 1,
% 0.70/1.11 0 ), ==>( 2, 1 ), ==>( 3, 2 ), ==>( 4, 3 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 712, [ ~( 'group_element'( X ) ), product1( X, 'e_3', 'e_4' ),
% 0.70/1.11 product1( X, 'e_3', 'e_1' ), product1( X, 'e_3', 'e_2' ), product1( X,
% 0.70/1.11 'e_3', 'e_3' ) ] )
% 0.70/1.11 , clause( 16, [ ~( 'group_element'( X ) ), product1( X, Y, 'e_4' ),
% 0.70/1.11 product1( X, Y, 'e_1' ), product1( X, Y, 'e_2' ), product1( X, Y, 'e_3' )
% 0.70/1.11 , ~( 'group_element'( Y ) ) ] )
% 0.70/1.11 , 5, clause( 2, [ 'group_element'( 'e_3' ) ] )
% 0.70/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_3' )] ), substitution( 1, [] )
% 0.70/1.11 ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 38, [ product1( X, 'e_3', 'e_4' ), product1( X, 'e_3', 'e_1' ),
% 0.70/1.11 product1( X, 'e_3', 'e_2' ), product1( X, 'e_3', 'e_3' ), ~(
% 0.70/1.11 'group_element'( X ) ) ] )
% 0.70/1.11 , clause( 712, [ ~( 'group_element'( X ) ), product1( X, 'e_3', 'e_4' ),
% 0.70/1.11 product1( X, 'e_3', 'e_1' ), product1( X, 'e_3', 'e_2' ), product1( X,
% 0.70/1.11 'e_3', 'e_3' ) ] )
% 0.70/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 4 ), ==>( 1,
% 0.70/1.11 0 ), ==>( 2, 1 ), ==>( 3, 2 ), ==>( 4, 3 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 714, [ ~( 'group_element'( X ) ), product1( X, 'e_4', 'e_4' ),
% 0.70/1.11 product1( X, 'e_4', 'e_1' ), product1( X, 'e_4', 'e_2' ), product1( X,
% 0.70/1.11 'e_4', 'e_3' ) ] )
% 0.70/1.11 , clause( 16, [ ~( 'group_element'( X ) ), product1( X, Y, 'e_4' ),
% 0.70/1.11 product1( X, Y, 'e_1' ), product1( X, Y, 'e_2' ), product1( X, Y, 'e_3' )
% 0.70/1.11 , ~( 'group_element'( Y ) ) ] )
% 0.70/1.11 , 5, clause( 3, [ 'group_element'( 'e_4' ) ] )
% 0.70/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_4' )] ), substitution( 1, [] )
% 0.70/1.11 ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 39, [ product1( X, 'e_4', 'e_4' ), product1( X, 'e_4', 'e_1' ),
% 0.70/1.11 product1( X, 'e_4', 'e_2' ), product1( X, 'e_4', 'e_3' ), ~(
% 0.70/1.11 'group_element'( X ) ) ] )
% 0.70/1.11 , clause( 714, [ ~( 'group_element'( X ) ), product1( X, 'e_4', 'e_4' ),
% 0.70/1.11 product1( X, 'e_4', 'e_1' ), product1( X, 'e_4', 'e_2' ), product1( X,
% 0.70/1.11 'e_4', 'e_3' ) ] )
% 0.70/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 4 ), ==>( 1,
% 0.70/1.11 0 ), ==>( 2, 1 ), ==>( 3, 2 ), ==>( 4, 3 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 716, [ equalish( X, Y ), ~( product1( Y, X, Y ) ) ] )
% 0.70/1.11 , clause( 18, [ equalish( Y, T ), ~( product1( X, Y, Z ) ), ~( product1( X
% 0.70/1.11 , T, Z ) ) ] )
% 0.70/1.11 , 2, clause( 20, [ product1( X, X, X ) ] )
% 0.70/1.11 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Y ), :=( T, Y )] ),
% 0.70/1.11 substitution( 1, [ :=( X, Y )] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 42, [ equalish( X, Y ), ~( product1( Y, X, Y ) ) ] )
% 0.70/1.11 , clause( 716, [ equalish( X, Y ), ~( product1( Y, X, Y ) ) ] )
% 0.70/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.11 ), ==>( 1, 1 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 718, [ equalish( X, Y ), ~( product2( Y, Y, X ) ) ] )
% 0.70/1.11 , clause( 22, [ equalish( Z, T ), ~( product2( X, Y, Z ) ), ~( product2( X
% 0.70/1.11 , Y, T ) ) ] )
% 0.70/1.11 , 2, clause( 25, [ product2( X, X, X ) ] )
% 0.70/1.11 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Y ), :=( Z, X ), :=( T, Y )] ),
% 0.70/1.11 substitution( 1, [ :=( X, Y )] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 44, [ equalish( X, Y ), ~( product2( Y, Y, X ) ) ] )
% 0.70/1.11 , clause( 718, [ equalish( X, Y ), ~( product2( Y, Y, X ) ) ] )
% 0.70/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.11 ), ==>( 1, 1 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 720, [ equalish( X, Y ), ~( product1( X, Y, Y ) ) ] )
% 0.70/1.11 , clause( 19, [ equalish( X, T ), ~( product1( X, Y, Z ) ), ~( product1( T
% 0.70/1.11 , Y, Z ) ) ] )
% 0.70/1.11 , 2, clause( 20, [ product1( X, X, X ) ] )
% 0.70/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, Y )] ),
% 0.70/1.11 substitution( 1, [ :=( X, Y )] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 45, [ equalish( X, Y ), ~( product1( X, Y, Y ) ) ] )
% 0.70/1.11 , clause( 720, [ equalish( X, Y ), ~( product1( X, Y, Y ) ) ] )
% 0.70/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.11 ), ==>( 1, 1 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 721, [ product1( 'e_4', 'e_1', 'e_4' ), product1( 'e_4', 'e_1',
% 0.70/1.11 'e_1' ), product1( 'e_4', 'e_1', 'e_2' ), product1( 'e_4', 'e_1', 'e_3' )
% 0.70/1.11 ] )
% 0.70/1.11 , clause( 36, [ product1( X, 'e_1', 'e_4' ), product1( X, 'e_1', 'e_1' ),
% 0.70/1.11 product1( X, 'e_1', 'e_2' ), product1( X, 'e_1', 'e_3' ), ~(
% 0.70/1.11 'group_element'( X ) ) ] )
% 0.70/1.11 , 4, clause( 3, [ 'group_element'( 'e_4' ) ] )
% 0.70/1.11 , 0, substitution( 0, [ :=( X, 'e_4' )] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 78, [ product1( 'e_4', 'e_1', 'e_1' ), product1( 'e_4', 'e_1',
% 0.70/1.11 'e_2' ), product1( 'e_4', 'e_1', 'e_3' ), product1( 'e_4', 'e_1', 'e_4' )
% 0.70/1.11 ] )
% 0.70/1.11 , clause( 721, [ product1( 'e_4', 'e_1', 'e_4' ), product1( 'e_4', 'e_1',
% 0.70/1.11 'e_1' ), product1( 'e_4', 'e_1', 'e_2' ), product1( 'e_4', 'e_1', 'e_3' )
% 0.70/1.11 ] )
% 0.70/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.70/1.11 , 1 ), ==>( 3, 2 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 722, [ product1( 'e_1', 'e_2', 'e_4' ), product1( 'e_1', 'e_2',
% 0.70/1.11 'e_1' ), product1( 'e_1', 'e_2', 'e_2' ), product1( 'e_1', 'e_2', 'e_3' )
% 0.70/1.11 ] )
% 0.70/1.11 , clause( 37, [ product1( X, 'e_2', 'e_4' ), product1( X, 'e_2', 'e_1' ),
% 0.70/1.11 product1( X, 'e_2', 'e_2' ), product1( X, 'e_2', 'e_3' ), ~(
% 0.70/1.11 'group_element'( X ) ) ] )
% 0.70/1.11 , 4, clause( 0, [ 'group_element'( 'e_1' ) ] )
% 0.70/1.11 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 83, [ product1( 'e_1', 'e_2', 'e_1' ), product1( 'e_1', 'e_2',
% 0.70/1.11 'e_2' ), product1( 'e_1', 'e_2', 'e_3' ), product1( 'e_1', 'e_2', 'e_4' )
% 0.70/1.11 ] )
% 0.70/1.11 , clause( 722, [ product1( 'e_1', 'e_2', 'e_4' ), product1( 'e_1', 'e_2',
% 0.70/1.11 'e_1' ), product1( 'e_1', 'e_2', 'e_2' ), product1( 'e_1', 'e_2', 'e_3' )
% 0.70/1.11 ] )
% 0.70/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.70/1.11 , 1 ), ==>( 3, 2 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 723, [ product1( 'e_4', 'e_2', 'e_4' ), product1( 'e_4', 'e_2',
% 0.70/1.11 'e_1' ), product1( 'e_4', 'e_2', 'e_2' ), product1( 'e_4', 'e_2', 'e_3' )
% 0.70/1.11 ] )
% 0.70/1.11 , clause( 37, [ product1( X, 'e_2', 'e_4' ), product1( X, 'e_2', 'e_1' ),
% 0.70/1.11 product1( X, 'e_2', 'e_2' ), product1( X, 'e_2', 'e_3' ), ~(
% 0.70/1.11 'group_element'( X ) ) ] )
% 0.70/1.11 , 4, clause( 3, [ 'group_element'( 'e_4' ) ] )
% 0.70/1.11 , 0, substitution( 0, [ :=( X, 'e_4' )] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 85, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_2',
% 0.70/1.11 'e_2' ), product1( 'e_4', 'e_2', 'e_3' ), product1( 'e_4', 'e_2', 'e_4' )
% 0.70/1.11 ] )
% 0.70/1.11 , clause( 723, [ product1( 'e_4', 'e_2', 'e_4' ), product1( 'e_4', 'e_2',
% 0.70/1.11 'e_1' ), product1( 'e_4', 'e_2', 'e_2' ), product1( 'e_4', 'e_2', 'e_3' )
% 0.70/1.11 ] )
% 0.70/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.70/1.11 , 1 ), ==>( 3, 2 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 724, [ equalish( 'e_2', 'e_4' ), product1( 'e_4', 'e_2', 'e_1' ),
% 0.70/1.11 product1( 'e_4', 'e_2', 'e_2' ), product1( 'e_4', 'e_2', 'e_3' ) ] )
% 0.70/1.11 , clause( 42, [ equalish( X, Y ), ~( product1( Y, X, Y ) ) ] )
% 0.70/1.11 , 1, clause( 85, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_2'
% 0.70/1.11 , 'e_2' ), product1( 'e_4', 'e_2', 'e_3' ), product1( 'e_4', 'e_2', 'e_4'
% 0.70/1.11 ) ] )
% 0.70/1.11 , 3, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_4' )] ), substitution( 1
% 0.70/1.11 , [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 725, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_2',
% 0.70/1.11 'e_2' ), product1( 'e_4', 'e_2', 'e_3' ) ] )
% 0.70/1.11 , clause( 9, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 0.70/1.11 , 0, clause( 724, [ equalish( 'e_2', 'e_4' ), product1( 'e_4', 'e_2', 'e_1'
% 0.70/1.11 ), product1( 'e_4', 'e_2', 'e_2' ), product1( 'e_4', 'e_2', 'e_3' ) ] )
% 0.70/1.11 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 97, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_2',
% 0.70/1.11 'e_2' ), product1( 'e_4', 'e_2', 'e_3' ) ] )
% 0.70/1.11 , clause( 725, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_2',
% 0.70/1.11 'e_2' ), product1( 'e_4', 'e_2', 'e_3' ) ] )
% 0.70/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.70/1.11 , 2 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 731, [ equalish( X, 'e_4' ), ~( product1( X, 'e_2', 'e_3' ) ),
% 0.70/1.11 product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_2', 'e_2' ) ] )
% 0.70/1.11 , clause( 19, [ equalish( X, T ), ~( product1( X, Y, Z ) ), ~( product1( T
% 0.70/1.11 , Y, Z ) ) ] )
% 0.70/1.11 , 2, clause( 97, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_2'
% 0.70/1.11 , 'e_2' ), product1( 'e_4', 'e_2', 'e_3' ) ] )
% 0.70/1.11 , 2, substitution( 0, [ :=( X, X ), :=( Y, 'e_2' ), :=( Z, 'e_3' ), :=( T,
% 0.70/1.11 'e_4' )] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 99, [ product1( 'e_4', 'e_2', 'e_1' ), equalish( X, 'e_4' ),
% 0.70/1.11 product1( 'e_4', 'e_2', 'e_2' ), ~( product1( X, 'e_2', 'e_3' ) ) ] )
% 0.70/1.11 , clause( 731, [ equalish( X, 'e_4' ), ~( product1( X, 'e_2', 'e_3' ) ),
% 0.70/1.11 product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_2', 'e_2' ) ] )
% 0.70/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.70/1.11 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 732, [ product1( 'e_2', 'e_3', 'e_4' ), product1( 'e_2', 'e_3',
% 0.70/1.11 'e_1' ), product1( 'e_2', 'e_3', 'e_2' ), product1( 'e_2', 'e_3', 'e_3' )
% 0.70/1.11 ] )
% 0.70/1.11 , clause( 38, [ product1( X, 'e_3', 'e_4' ), product1( X, 'e_3', 'e_1' ),
% 0.70/1.11 product1( X, 'e_3', 'e_2' ), product1( X, 'e_3', 'e_3' ), ~(
% 0.70/1.11 'group_element'( X ) ) ] )
% 0.70/1.11 , 4, clause( 1, [ 'group_element'( 'e_2' ) ] )
% 0.70/1.11 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 103, [ product1( 'e_2', 'e_3', 'e_1' ), product1( 'e_2', 'e_3',
% 0.70/1.11 'e_2' ), product1( 'e_2', 'e_3', 'e_3' ), product1( 'e_2', 'e_3', 'e_4' )
% 0.70/1.11 ] )
% 0.70/1.11 , clause( 732, [ product1( 'e_2', 'e_3', 'e_4' ), product1( 'e_2', 'e_3',
% 0.70/1.11 'e_1' ), product1( 'e_2', 'e_3', 'e_2' ), product1( 'e_2', 'e_3', 'e_3' )
% 0.70/1.11 ] )
% 0.70/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.70/1.11 , 1 ), ==>( 3, 2 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 733, [ product1( 'e_4', 'e_3', 'e_4' ), product1( 'e_4', 'e_3',
% 0.70/1.11 'e_1' ), product1( 'e_4', 'e_3', 'e_2' ), product1( 'e_4', 'e_3', 'e_3' )
% 0.70/1.11 ] )
% 0.70/1.11 , clause( 38, [ product1( X, 'e_3', 'e_4' ), product1( X, 'e_3', 'e_1' ),
% 0.70/1.11 product1( X, 'e_3', 'e_2' ), product1( X, 'e_3', 'e_3' ), ~(
% 0.70/1.11 'group_element'( X ) ) ] )
% 0.70/1.11 , 4, clause( 3, [ 'group_element'( 'e_4' ) ] )
% 0.70/1.11 , 0, substitution( 0, [ :=( X, 'e_4' )] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 104, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3',
% 0.70/1.11 'e_2' ), product1( 'e_4', 'e_3', 'e_3' ), product1( 'e_4', 'e_3', 'e_4' )
% 0.70/1.11 ] )
% 0.70/1.11 , clause( 733, [ product1( 'e_4', 'e_3', 'e_4' ), product1( 'e_4', 'e_3',
% 0.70/1.11 'e_1' ), product1( 'e_4', 'e_3', 'e_2' ), product1( 'e_4', 'e_3', 'e_3' )
% 0.70/1.11 ] )
% 0.70/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.70/1.11 , 1 ), ==>( 3, 2 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 734, [ product1( 'e_1', 'e_4', 'e_4' ), product1( 'e_1', 'e_4',
% 0.70/1.11 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ), product1( 'e_1', 'e_4', 'e_3' )
% 0.70/1.11 ] )
% 0.70/1.11 , clause( 39, [ product1( X, 'e_4', 'e_4' ), product1( X, 'e_4', 'e_1' ),
% 0.70/1.11 product1( X, 'e_4', 'e_2' ), product1( X, 'e_4', 'e_3' ), ~(
% 0.70/1.11 'group_element'( X ) ) ] )
% 0.70/1.11 , 4, clause( 0, [ 'group_element'( 'e_1' ) ] )
% 0.70/1.11 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 109, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4',
% 0.70/1.11 'e_2' ), product1( 'e_1', 'e_4', 'e_3' ), product1( 'e_1', 'e_4', 'e_4' )
% 0.70/1.11 ] )
% 0.70/1.11 , clause( 734, [ product1( 'e_1', 'e_4', 'e_4' ), product1( 'e_1', 'e_4',
% 0.70/1.11 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ), product1( 'e_1', 'e_4', 'e_3' )
% 0.70/1.11 ] )
% 0.70/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.70/1.11 , 1 ), ==>( 3, 2 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 735, [ product1( 'e_2', 'e_4', 'e_4' ), product1( 'e_2', 'e_4',
% 0.70/1.11 'e_1' ), product1( 'e_2', 'e_4', 'e_2' ), product1( 'e_2', 'e_4', 'e_3' )
% 0.70/1.11 ] )
% 0.70/1.11 , clause( 39, [ product1( X, 'e_4', 'e_4' ), product1( X, 'e_4', 'e_1' ),
% 0.70/1.11 product1( X, 'e_4', 'e_2' ), product1( X, 'e_4', 'e_3' ), ~(
% 0.70/1.11 'group_element'( X ) ) ] )
% 0.70/1.11 , 4, clause( 1, [ 'group_element'( 'e_2' ) ] )
% 0.70/1.11 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 110, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.70/1.11 'e_2' ), product1( 'e_2', 'e_4', 'e_3' ), product1( 'e_2', 'e_4', 'e_4' )
% 0.70/1.11 ] )
% 0.70/1.11 , clause( 735, [ product1( 'e_2', 'e_4', 'e_4' ), product1( 'e_2', 'e_4',
% 0.70/1.11 'e_1' ), product1( 'e_2', 'e_4', 'e_2' ), product1( 'e_2', 'e_4', 'e_3' )
% 0.70/1.11 ] )
% 0.70/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.70/1.11 , 1 ), ==>( 3, 2 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 736, [ product1( 'e_3', 'e_4', 'e_4' ), product1( 'e_3', 'e_4',
% 0.70/1.11 'e_1' ), product1( 'e_3', 'e_4', 'e_2' ), product1( 'e_3', 'e_4', 'e_3' )
% 0.70/1.11 ] )
% 0.70/1.11 , clause( 39, [ product1( X, 'e_4', 'e_4' ), product1( X, 'e_4', 'e_1' ),
% 0.70/1.11 product1( X, 'e_4', 'e_2' ), product1( X, 'e_4', 'e_3' ), ~(
% 0.70/1.11 'group_element'( X ) ) ] )
% 0.70/1.11 , 4, clause( 2, [ 'group_element'( 'e_3' ) ] )
% 0.70/1.11 , 0, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 111, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4',
% 0.70/1.11 'e_2' ), product1( 'e_3', 'e_4', 'e_3' ), product1( 'e_3', 'e_4', 'e_4' )
% 0.70/1.11 ] )
% 0.70/1.11 , clause( 736, [ product1( 'e_3', 'e_4', 'e_4' ), product1( 'e_3', 'e_4',
% 0.70/1.11 'e_1' ), product1( 'e_3', 'e_4', 'e_2' ), product1( 'e_3', 'e_4', 'e_3' )
% 0.70/1.11 ] )
% 0.70/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.70/1.11 , 1 ), ==>( 3, 2 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 737, [ equalish( 'e_1', 'e_4' ), product1( 'e_1', 'e_4', 'e_1' ),
% 0.70/1.11 product1( 'e_1', 'e_4', 'e_2' ), product1( 'e_1', 'e_4', 'e_3' ) ] )
% 0.70/1.11 , clause( 45, [ equalish( X, Y ), ~( product1( X, Y, Y ) ) ] )
% 0.70/1.11 , 1, clause( 109, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4'
% 0.70/1.11 , 'e_2' ), product1( 'e_1', 'e_4', 'e_3' ), product1( 'e_1', 'e_4', 'e_4'
% 0.70/1.11 ) ] )
% 0.70/1.11 , 3, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_4' )] ), substitution( 1
% 0.70/1.11 , [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 738, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4',
% 0.70/1.11 'e_2' ), product1( 'e_1', 'e_4', 'e_3' ) ] )
% 0.70/1.11 , clause( 6, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.70/1.11 , 0, clause( 737, [ equalish( 'e_1', 'e_4' ), product1( 'e_1', 'e_4', 'e_1'
% 0.70/1.11 ), product1( 'e_1', 'e_4', 'e_2' ), product1( 'e_1', 'e_4', 'e_3' ) ] )
% 0.70/1.11 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 113, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4',
% 0.70/1.11 'e_2' ), product1( 'e_1', 'e_4', 'e_3' ) ] )
% 0.70/1.11 , clause( 738, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4',
% 0.70/1.11 'e_2' ), product1( 'e_1', 'e_4', 'e_3' ) ] )
% 0.70/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.70/1.11 , 2 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 744, [ equalish( X, 'e_1' ), ~( product1( X, 'e_4', 'e_3' ) ),
% 0.70/1.11 product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 0.70/1.11 , clause( 19, [ equalish( X, T ), ~( product1( X, Y, Z ) ), ~( product1( T
% 0.70/1.11 , Y, Z ) ) ] )
% 0.70/1.11 , 2, clause( 113, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4'
% 0.70/1.11 , 'e_2' ), product1( 'e_1', 'e_4', 'e_3' ) ] )
% 0.70/1.11 , 2, substitution( 0, [ :=( X, X ), :=( Y, 'e_4' ), :=( Z, 'e_3' ), :=( T,
% 0.70/1.11 'e_1' )] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 115, [ product1( 'e_1', 'e_4', 'e_1' ), equalish( X, 'e_1' ),
% 0.70/1.11 product1( 'e_1', 'e_4', 'e_2' ), ~( product1( X, 'e_4', 'e_3' ) ) ] )
% 0.70/1.11 , clause( 744, [ equalish( X, 'e_1' ), ~( product1( X, 'e_4', 'e_3' ) ),
% 0.70/1.11 product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 0.70/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.70/1.11 3 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 745, [ equalish( 'e_2', 'e_4' ), product1( 'e_2', 'e_4', 'e_1' ),
% 0.70/1.11 product1( 'e_2', 'e_4', 'e_2' ), product1( 'e_2', 'e_4', 'e_3' ) ] )
% 0.70/1.11 , clause( 45, [ equalish( X, Y ), ~( product1( X, Y, Y ) ) ] )
% 0.70/1.11 , 1, clause( 110, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4'
% 0.70/1.11 , 'e_2' ), product1( 'e_2', 'e_4', 'e_3' ), product1( 'e_2', 'e_4', 'e_4'
% 0.70/1.11 ) ] )
% 0.70/1.11 , 3, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_4' )] ), substitution( 1
% 0.70/1.11 , [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 746, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.70/1.11 'e_2' ), product1( 'e_2', 'e_4', 'e_3' ) ] )
% 0.70/1.11 , clause( 9, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 0.70/1.11 , 0, clause( 745, [ equalish( 'e_2', 'e_4' ), product1( 'e_2', 'e_4', 'e_1'
% 0.70/1.11 ), product1( 'e_2', 'e_4', 'e_2' ), product1( 'e_2', 'e_4', 'e_3' ) ] )
% 0.70/1.11 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 179, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.70/1.11 'e_2' ), product1( 'e_2', 'e_4', 'e_3' ) ] )
% 0.70/1.11 , clause( 746, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.70/1.11 'e_2' ), product1( 'e_2', 'e_4', 'e_3' ) ] )
% 0.70/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.70/1.11 , 2 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 747, [ product1( 'e_1', 'e_4', 'e_1' ), equalish( 'e_2', 'e_1' ),
% 0.70/1.11 product1( 'e_1', 'e_4', 'e_2' ), product1( 'e_2', 'e_4', 'e_1' ),
% 0.70/1.11 product1( 'e_2', 'e_4', 'e_2' ) ] )
% 0.70/1.11 , clause( 115, [ product1( 'e_1', 'e_4', 'e_1' ), equalish( X, 'e_1' ),
% 0.70/1.11 product1( 'e_1', 'e_4', 'e_2' ), ~( product1( X, 'e_4', 'e_3' ) ) ] )
% 0.70/1.11 , 3, clause( 179, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4'
% 0.70/1.11 , 'e_2' ), product1( 'e_2', 'e_4', 'e_3' ) ] )
% 0.70/1.11 , 2, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 748, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4',
% 0.70/1.11 'e_2' ), product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4', 'e_2' )
% 0.70/1.11 ] )
% 0.70/1.11 , clause( 7, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.70/1.11 , 0, clause( 747, [ product1( 'e_1', 'e_4', 'e_1' ), equalish( 'e_2', 'e_1'
% 0.70/1.11 ), product1( 'e_1', 'e_4', 'e_2' ), product1( 'e_2', 'e_4', 'e_1' ),
% 0.70/1.11 product1( 'e_2', 'e_4', 'e_2' ) ] )
% 0.70/1.11 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 180, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_1', 'e_4',
% 0.70/1.11 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ), product1( 'e_2', 'e_4', 'e_2' )
% 0.70/1.11 ] )
% 0.70/1.11 , clause( 748, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4',
% 0.70/1.11 'e_2' ), product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4', 'e_2' )
% 0.70/1.11 ] )
% 0.70/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2
% 0.70/1.11 , 0 ), ==>( 3, 3 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 754, [ ~( product1( 'e_4', X, 'e_2' ) ), product2( 'e_3', X, 'e_4'
% 0.70/1.11 ), product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4', 'e_2' ) ] )
% 0.70/1.11 , clause( 26, [ ~( product1( X, Y, Z ) ), product2( T, Y, X ), ~( product1(
% 0.70/1.11 Z, X, T ) ) ] )
% 0.70/1.11 , 2, clause( 179, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4'
% 0.70/1.11 , 'e_2' ), product1( 'e_2', 'e_4', 'e_3' ) ] )
% 0.70/1.11 , 2, substitution( 0, [ :=( X, 'e_4' ), :=( Y, X ), :=( Z, 'e_2' ), :=( T,
% 0.70/1.11 'e_3' )] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 181, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.70/1.11 'e_2' ), product2( 'e_3', X, 'e_4' ), ~( product1( 'e_4', X, 'e_2' ) ) ]
% 0.70/1.11 )
% 0.70/1.11 , clause( 754, [ ~( product1( 'e_4', X, 'e_2' ) ), product2( 'e_3', X,
% 0.70/1.11 'e_4' ), product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4', 'e_2' )
% 0.70/1.11 ] )
% 0.70/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 0.70/1.11 2 ), ==>( 2, 0 ), ==>( 3, 1 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 756, [ equalish( 'e_4', 'e_2' ), product1( 'e_2', 'e_4', 'e_1' ),
% 0.70/1.11 product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 0.70/1.11 , clause( 42, [ equalish( X, Y ), ~( product1( Y, X, Y ) ) ] )
% 0.70/1.11 , 1, clause( 180, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_1', 'e_4'
% 0.70/1.11 , 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ), product1( 'e_2', 'e_4', 'e_2'
% 0.70/1.11 ) ] )
% 0.70/1.11 , 3, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_2' )] ), substitution( 1
% 0.70/1.11 , [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 757, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_1', 'e_4',
% 0.70/1.11 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 0.70/1.11 , clause( 14, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.70/1.11 , 0, clause( 756, [ equalish( 'e_4', 'e_2' ), product1( 'e_2', 'e_4', 'e_1'
% 0.70/1.11 ), product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 0.70/1.11 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 189, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.70/1.11 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 0.70/1.11 , clause( 757, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_1', 'e_4',
% 0.70/1.11 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 0.70/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.70/1.11 , 2 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 763, [ ~( product1( 'e_4', X, 'e_1' ) ), product2( 'e_2', X, 'e_4'
% 0.70/1.11 ), product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_2', 'e_4', 'e_1' ) ] )
% 0.70/1.11 , clause( 26, [ ~( product1( X, Y, Z ) ), product2( T, Y, X ), ~( product1(
% 0.70/1.11 Z, X, T ) ) ] )
% 0.70/1.11 , 2, clause( 189, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_2', 'e_4'
% 0.70/1.11 , 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 0.70/1.11 , 2, substitution( 0, [ :=( X, 'e_4' ), :=( Y, X ), :=( Z, 'e_1' ), :=( T,
% 0.70/1.11 'e_2' )] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 190, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.70/1.11 'e_1' ), product2( 'e_2', X, 'e_4' ), ~( product1( 'e_4', X, 'e_1' ) ) ]
% 0.70/1.11 )
% 0.70/1.11 , clause( 763, [ ~( product1( 'e_4', X, 'e_1' ) ), product2( 'e_2', X,
% 0.70/1.11 'e_4' ), product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_2', 'e_4', 'e_1' )
% 0.70/1.11 ] )
% 0.70/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 0.70/1.11 2 ), ==>( 2, 0 ), ==>( 3, 1 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 764, [ equalish( 'e_3', 'e_4' ), product1( 'e_3', 'e_4', 'e_1' ),
% 0.70/1.11 product1( 'e_3', 'e_4', 'e_2' ), product1( 'e_3', 'e_4', 'e_3' ) ] )
% 0.70/1.11 , clause( 45, [ equalish( X, Y ), ~( product1( X, Y, Y ) ) ] )
% 0.70/1.11 , 1, clause( 111, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4'
% 0.70/1.11 , 'e_2' ), product1( 'e_3', 'e_4', 'e_3' ), product1( 'e_3', 'e_4', 'e_4'
% 0.70/1.11 ) ] )
% 0.70/1.11 , 3, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_4' )] ), substitution( 1
% 0.70/1.11 , [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 765, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4',
% 0.70/1.11 'e_2' ), product1( 'e_3', 'e_4', 'e_3' ) ] )
% 0.70/1.11 , clause( 12, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.70/1.11 , 0, clause( 764, [ equalish( 'e_3', 'e_4' ), product1( 'e_3', 'e_4', 'e_1'
% 0.70/1.11 ), product1( 'e_3', 'e_4', 'e_2' ), product1( 'e_3', 'e_4', 'e_3' ) ] )
% 0.70/1.11 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 195, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4',
% 0.70/1.11 'e_2' ), product1( 'e_3', 'e_4', 'e_3' ) ] )
% 0.70/1.11 , clause( 765, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4',
% 0.70/1.11 'e_2' ), product1( 'e_3', 'e_4', 'e_3' ) ] )
% 0.70/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.70/1.11 , 2 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 766, [ equalish( 'e_4', 'e_3' ), product1( 'e_3', 'e_4', 'e_1' ),
% 0.70/1.11 product1( 'e_3', 'e_4', 'e_2' ) ] )
% 0.70/1.11 , clause( 42, [ equalish( X, Y ), ~( product1( Y, X, Y ) ) ] )
% 0.70/1.11 , 1, clause( 195, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4'
% 0.70/1.11 , 'e_2' ), product1( 'e_3', 'e_4', 'e_3' ) ] )
% 0.70/1.11 , 2, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_3' )] ), substitution( 1
% 0.70/1.11 , [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 767, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4',
% 0.70/1.11 'e_2' ) ] )
% 0.70/1.11 , clause( 15, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.70/1.11 , 0, clause( 766, [ equalish( 'e_4', 'e_3' ), product1( 'e_3', 'e_4', 'e_1'
% 0.70/1.11 ), product1( 'e_3', 'e_4', 'e_2' ) ] )
% 0.70/1.11 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 201, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4',
% 0.70/1.11 'e_2' ) ] )
% 0.70/1.11 , clause( 767, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4',
% 0.70/1.11 'e_2' ) ] )
% 0.70/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.70/1.11 ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 771, [ ~( product1( 'e_4', X, 'e_3' ) ), product2( 'e_2', X, 'e_4'
% 0.70/1.11 ), product1( 'e_3', 'e_4', 'e_1' ) ] )
% 0.70/1.11 , clause( 26, [ ~( product1( X, Y, Z ) ), product2( T, Y, X ), ~( product1(
% 0.70/1.11 Z, X, T ) ) ] )
% 0.70/1.11 , 2, clause( 201, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4'
% 0.70/1.11 , 'e_2' ) ] )
% 0.70/1.11 , 1, substitution( 0, [ :=( X, 'e_4' ), :=( Y, X ), :=( Z, 'e_3' ), :=( T,
% 0.70/1.11 'e_2' )] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 203, [ product1( 'e_3', 'e_4', 'e_1' ), product2( 'e_2', X, 'e_4' )
% 0.70/1.11 , ~( product1( 'e_4', X, 'e_3' ) ) ] )
% 0.70/1.11 , clause( 771, [ ~( product1( 'e_4', X, 'e_3' ) ), product2( 'e_2', X,
% 0.70/1.11 'e_4' ), product1( 'e_3', 'e_4', 'e_1' ) ] )
% 0.70/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.70/1.11 1 ), ==>( 2, 0 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 772, [ product1( 'e_3', 'e_4', 'e_1' ), product2( 'e_2', 'e_2',
% 0.70/1.11 'e_4' ), product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_2', 'e_2' )
% 0.70/1.11 ] )
% 0.70/1.11 , clause( 203, [ product1( 'e_3', 'e_4', 'e_1' ), product2( 'e_2', X, 'e_4'
% 0.70/1.11 ), ~( product1( 'e_4', X, 'e_3' ) ) ] )
% 0.70/1.11 , 2, clause( 97, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_2'
% 0.70/1.11 , 'e_2' ), product1( 'e_4', 'e_2', 'e_3' ) ] )
% 0.70/1.11 , 2, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 211, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_4', 'e_2',
% 0.70/1.11 'e_1' ), product1( 'e_4', 'e_2', 'e_2' ), product2( 'e_2', 'e_2', 'e_4' )
% 0.70/1.11 ] )
% 0.70/1.11 , clause( 772, [ product1( 'e_3', 'e_4', 'e_1' ), product2( 'e_2', 'e_2',
% 0.70/1.11 'e_4' ), product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_2', 'e_2' )
% 0.70/1.11 ] )
% 0.70/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 3 ), ==>( 2
% 0.70/1.11 , 1 ), ==>( 3, 2 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 773, [ equalish( 'e_4', 'e_2' ), product1( 'e_3', 'e_4', 'e_1' ),
% 0.70/1.11 product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_2', 'e_2' ) ] )
% 0.70/1.11 , clause( 44, [ equalish( X, Y ), ~( product2( Y, Y, X ) ) ] )
% 0.70/1.11 , 1, clause( 211, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_4', 'e_2'
% 0.70/1.11 , 'e_1' ), product1( 'e_4', 'e_2', 'e_2' ), product2( 'e_2', 'e_2', 'e_4'
% 0.70/1.11 ) ] )
% 0.70/1.11 , 3, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_2' )] ), substitution( 1
% 0.70/1.11 , [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 774, [ equalish( 'e_4', 'e_2' ), equalish( 'e_4', 'e_2' ), product1(
% 0.70/1.11 'e_3', 'e_4', 'e_1' ), product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.70/1.11 , clause( 45, [ equalish( X, Y ), ~( product1( X, Y, Y ) ) ] )
% 0.70/1.11 , 1, clause( 773, [ equalish( 'e_4', 'e_2' ), product1( 'e_3', 'e_4', 'e_1'
% 0.70/1.11 ), product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_2', 'e_2' ) ] )
% 0.70/1.11 , 3, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_2' )] ), substitution( 1
% 0.70/1.11 , [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 factor(
% 0.70/1.11 clause( 775, [ equalish( 'e_4', 'e_2' ), product1( 'e_3', 'e_4', 'e_1' ),
% 0.70/1.11 product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.70/1.11 , clause( 774, [ equalish( 'e_4', 'e_2' ), equalish( 'e_4', 'e_2' ),
% 0.70/1.11 product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.70/1.11 , 0, 1, substitution( 0, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 219, [ product1( 'e_4', 'e_2', 'e_1' ), equalish( 'e_4', 'e_2' ),
% 0.70/1.11 product1( 'e_3', 'e_4', 'e_1' ) ] )
% 0.70/1.11 , clause( 775, [ equalish( 'e_4', 'e_2' ), product1( 'e_3', 'e_4', 'e_1' )
% 0.70/1.11 , product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.70/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2
% 0.70/1.11 , 0 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 776, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_3', 'e_4',
% 0.70/1.11 'e_1' ) ] )
% 0.70/1.11 , clause( 14, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.70/1.11 , 0, clause( 219, [ product1( 'e_4', 'e_2', 'e_1' ), equalish( 'e_4', 'e_2'
% 0.70/1.11 ), product1( 'e_3', 'e_4', 'e_1' ) ] )
% 0.70/1.11 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 223, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_3', 'e_4',
% 0.70/1.11 'e_1' ) ] )
% 0.70/1.11 , clause( 776, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_3', 'e_4',
% 0.70/1.11 'e_1' ) ] )
% 0.70/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.70/1.11 ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 780, [ ~( product1( 'e_4', X, 'e_3' ) ), product2( 'e_1', X, 'e_4'
% 0.70/1.11 ), product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.70/1.11 , clause( 26, [ ~( product1( X, Y, Z ) ), product2( T, Y, X ), ~( product1(
% 0.70/1.11 Z, X, T ) ) ] )
% 0.70/1.11 , 2, clause( 223, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_3', 'e_4'
% 0.70/1.11 , 'e_1' ) ] )
% 0.70/1.11 , 1, substitution( 0, [ :=( X, 'e_4' ), :=( Y, X ), :=( Z, 'e_3' ), :=( T,
% 0.70/1.11 'e_1' )] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 224, [ product1( 'e_4', 'e_2', 'e_1' ), product2( 'e_1', X, 'e_4' )
% 0.70/1.11 , ~( product1( 'e_4', X, 'e_3' ) ) ] )
% 0.70/1.11 , clause( 780, [ ~( product1( 'e_4', X, 'e_3' ) ), product2( 'e_1', X,
% 0.70/1.11 'e_4' ), product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.70/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.70/1.11 1 ), ==>( 2, 0 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 781, [ equalish( 'e_1', 'e_4' ), product1( 'e_4', 'e_1', 'e_1' ),
% 0.70/1.11 product1( 'e_4', 'e_1', 'e_2' ), product1( 'e_4', 'e_1', 'e_3' ) ] )
% 0.70/1.11 , clause( 42, [ equalish( X, Y ), ~( product1( Y, X, Y ) ) ] )
% 0.70/1.11 , 1, clause( 78, [ product1( 'e_4', 'e_1', 'e_1' ), product1( 'e_4', 'e_1'
% 0.70/1.11 , 'e_2' ), product1( 'e_4', 'e_1', 'e_3' ), product1( 'e_4', 'e_1', 'e_4'
% 0.70/1.11 ) ] )
% 0.70/1.11 , 3, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_4' )] ), substitution( 1
% 0.70/1.11 , [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 782, [ product1( 'e_4', 'e_1', 'e_1' ), product1( 'e_4', 'e_1',
% 0.70/1.11 'e_2' ), product1( 'e_4', 'e_1', 'e_3' ) ] )
% 0.70/1.11 , clause( 6, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.70/1.11 , 0, clause( 781, [ equalish( 'e_1', 'e_4' ), product1( 'e_4', 'e_1', 'e_1'
% 0.70/1.11 ), product1( 'e_4', 'e_1', 'e_2' ), product1( 'e_4', 'e_1', 'e_3' ) ] )
% 0.70/1.11 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 236, [ product1( 'e_4', 'e_1', 'e_1' ), product1( 'e_4', 'e_1',
% 0.70/1.11 'e_2' ), product1( 'e_4', 'e_1', 'e_3' ) ] )
% 0.70/1.11 , clause( 782, [ product1( 'e_4', 'e_1', 'e_1' ), product1( 'e_4', 'e_1',
% 0.70/1.11 'e_2' ), product1( 'e_4', 'e_1', 'e_3' ) ] )
% 0.70/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.70/1.11 , 2 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 783, [ product1( 'e_4', 'e_2', 'e_1' ), product2( 'e_1', 'e_1',
% 0.70/1.11 'e_4' ), product1( 'e_4', 'e_1', 'e_1' ), product1( 'e_4', 'e_1', 'e_2' )
% 0.70/1.11 ] )
% 0.70/1.11 , clause( 224, [ product1( 'e_4', 'e_2', 'e_1' ), product2( 'e_1', X, 'e_4'
% 0.70/1.11 ), ~( product1( 'e_4', X, 'e_3' ) ) ] )
% 0.70/1.11 , 2, clause( 236, [ product1( 'e_4', 'e_1', 'e_1' ), product1( 'e_4', 'e_1'
% 0.70/1.11 , 'e_2' ), product1( 'e_4', 'e_1', 'e_3' ) ] )
% 0.70/1.11 , 2, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 237, [ product1( 'e_4', 'e_1', 'e_1' ), product1( 'e_4', 'e_2',
% 0.70/1.11 'e_1' ), product1( 'e_4', 'e_1', 'e_2' ), product2( 'e_1', 'e_1', 'e_4' )
% 0.70/1.11 ] )
% 0.70/1.11 , clause( 783, [ product1( 'e_4', 'e_2', 'e_1' ), product2( 'e_1', 'e_1',
% 0.70/1.11 'e_4' ), product1( 'e_4', 'e_1', 'e_1' ), product1( 'e_4', 'e_1', 'e_2' )
% 0.70/1.11 ] )
% 0.70/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 3 ), ==>( 2
% 0.70/1.11 , 0 ), ==>( 3, 2 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 784, [ equalish( 'e_4', 'e_1' ), product1( 'e_4', 'e_1', 'e_1' ),
% 0.70/1.11 product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_1', 'e_2' ) ] )
% 0.70/1.11 , clause( 44, [ equalish( X, Y ), ~( product2( Y, Y, X ) ) ] )
% 0.70/1.11 , 1, clause( 237, [ product1( 'e_4', 'e_1', 'e_1' ), product1( 'e_4', 'e_2'
% 0.70/1.11 , 'e_1' ), product1( 'e_4', 'e_1', 'e_2' ), product2( 'e_1', 'e_1', 'e_4'
% 0.70/1.11 ) ] )
% 0.70/1.11 , 3, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_1' )] ), substitution( 1
% 0.70/1.11 , [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 785, [ equalish( 'e_4', 'e_1' ), equalish( 'e_4', 'e_1' ), product1(
% 0.70/1.11 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_1', 'e_2' ) ] )
% 0.70/1.11 , clause( 45, [ equalish( X, Y ), ~( product1( X, Y, Y ) ) ] )
% 0.70/1.11 , 1, clause( 784, [ equalish( 'e_4', 'e_1' ), product1( 'e_4', 'e_1', 'e_1'
% 0.70/1.11 ), product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_1', 'e_2' ) ] )
% 0.70/1.11 , 1, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_1' )] ), substitution( 1
% 0.70/1.11 , [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 factor(
% 0.70/1.11 clause( 786, [ equalish( 'e_4', 'e_1' ), product1( 'e_4', 'e_2', 'e_1' ),
% 0.70/1.11 product1( 'e_4', 'e_1', 'e_2' ) ] )
% 0.70/1.11 , clause( 785, [ equalish( 'e_4', 'e_1' ), equalish( 'e_4', 'e_1' ),
% 0.70/1.11 product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_1', 'e_2' ) ] )
% 0.70/1.11 , 0, 1, substitution( 0, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 265, [ product1( 'e_4', 'e_2', 'e_1' ), equalish( 'e_4', 'e_1' ),
% 0.70/1.11 product1( 'e_4', 'e_1', 'e_2' ) ] )
% 0.70/1.11 , clause( 786, [ equalish( 'e_4', 'e_1' ), product1( 'e_4', 'e_2', 'e_1' )
% 0.70/1.11 , product1( 'e_4', 'e_1', 'e_2' ) ] )
% 0.70/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.70/1.11 , 2 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 787, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_1',
% 0.70/1.11 'e_2' ) ] )
% 0.70/1.11 , clause( 13, [ ~( equalish( 'e_4', 'e_1' ) ) ] )
% 0.70/1.11 , 0, clause( 265, [ product1( 'e_4', 'e_2', 'e_1' ), equalish( 'e_4', 'e_1'
% 0.70/1.11 ), product1( 'e_4', 'e_1', 'e_2' ) ] )
% 0.70/1.11 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 269, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_1',
% 0.70/1.11 'e_2' ) ] )
% 0.70/1.11 , clause( 787, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_1',
% 0.70/1.11 'e_2' ) ] )
% 0.70/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.70/1.11 ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 791, [ ~( product1( 'e_1', X, 'e_4' ) ), product2( 'e_2', X, 'e_1'
% 0.70/1.11 ), product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.70/1.11 , clause( 26, [ ~( product1( X, Y, Z ) ), product2( T, Y, X ), ~( product1(
% 0.70/1.11 Z, X, T ) ) ] )
% 0.70/1.11 , 2, clause( 269, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_1'
% 0.70/1.11 , 'e_2' ) ] )
% 0.70/1.11 , 1, substitution( 0, [ :=( X, 'e_1' ), :=( Y, X ), :=( Z, 'e_4' ), :=( T,
% 0.70/1.11 'e_2' )] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 270, [ product1( 'e_4', 'e_2', 'e_1' ), product2( 'e_2', X, 'e_1' )
% 0.70/1.11 , ~( product1( 'e_1', X, 'e_4' ) ) ] )
% 0.70/1.11 , clause( 791, [ ~( product1( 'e_1', X, 'e_4' ) ), product2( 'e_2', X,
% 0.70/1.11 'e_1' ), product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.70/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.70/1.11 1 ), ==>( 2, 0 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 795, [ equalish( X, 'e_1' ), ~( product1( 'e_4', X, 'e_2' ) ),
% 0.70/1.11 product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.70/1.11 , clause( 18, [ equalish( Y, T ), ~( product1( X, Y, Z ) ), ~( product1( X
% 0.70/1.11 , T, Z ) ) ] )
% 0.70/1.11 , 2, clause( 269, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_1'
% 0.70/1.11 , 'e_2' ) ] )
% 0.70/1.11 , 1, substitution( 0, [ :=( X, 'e_4' ), :=( Y, X ), :=( Z, 'e_2' ), :=( T,
% 0.70/1.11 'e_1' )] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 272, [ equalish( X, 'e_1' ), product1( 'e_4', 'e_2', 'e_1' ), ~(
% 0.70/1.11 product1( 'e_4', X, 'e_2' ) ) ] )
% 0.70/1.11 , clause( 795, [ equalish( X, 'e_1' ), ~( product1( 'e_4', X, 'e_2' ) ),
% 0.70/1.11 product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.70/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.70/1.11 2 ), ==>( 2, 1 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 796, [ product1( 'e_4', 'e_2', 'e_1' ), product2( 'e_2', 'e_2',
% 0.70/1.11 'e_1' ), product1( 'e_1', 'e_2', 'e_1' ), product1( 'e_1', 'e_2', 'e_2' )
% 0.70/1.11 , product1( 'e_1', 'e_2', 'e_3' ) ] )
% 0.70/1.11 , clause( 270, [ product1( 'e_4', 'e_2', 'e_1' ), product2( 'e_2', X, 'e_1'
% 0.70/1.11 ), ~( product1( 'e_1', X, 'e_4' ) ) ] )
% 0.70/1.11 , 2, clause( 83, [ product1( 'e_1', 'e_2', 'e_1' ), product1( 'e_1', 'e_2'
% 0.70/1.11 , 'e_2' ), product1( 'e_1', 'e_2', 'e_3' ), product1( 'e_1', 'e_2', 'e_4'
% 0.70/1.11 ) ] )
% 0.70/1.11 , 3, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 275, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_1', 'e_2',
% 0.70/1.11 'e_1' ), product1( 'e_1', 'e_2', 'e_2' ), product1( 'e_1', 'e_2', 'e_3' )
% 0.70/1.11 , product2( 'e_2', 'e_2', 'e_1' ) ] )
% 0.70/1.11 , clause( 796, [ product1( 'e_4', 'e_2', 'e_1' ), product2( 'e_2', 'e_2',
% 0.70/1.11 'e_1' ), product1( 'e_1', 'e_2', 'e_1' ), product1( 'e_1', 'e_2', 'e_2' )
% 0.70/1.11 , product1( 'e_1', 'e_2', 'e_3' ) ] )
% 0.70/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 4 ), ==>( 2
% 0.70/1.11 , 1 ), ==>( 3, 2 ), ==>( 4, 3 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 797, [ equalish( 'e_3', 'e_4' ), product1( 'e_4', 'e_3', 'e_1' ),
% 0.70/1.11 product1( 'e_4', 'e_3', 'e_2' ), product1( 'e_4', 'e_3', 'e_3' ) ] )
% 0.70/1.11 , clause( 42, [ equalish( X, Y ), ~( product1( Y, X, Y ) ) ] )
% 0.70/1.11 , 1, clause( 104, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3'
% 0.70/1.11 , 'e_2' ), product1( 'e_4', 'e_3', 'e_3' ), product1( 'e_4', 'e_3', 'e_4'
% 0.70/1.11 ) ] )
% 0.70/1.11 , 3, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_4' )] ), substitution( 1
% 0.70/1.11 , [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 798, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3',
% 0.70/1.11 'e_2' ), product1( 'e_4', 'e_3', 'e_3' ) ] )
% 0.70/1.11 , clause( 12, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.70/1.11 , 0, clause( 797, [ equalish( 'e_3', 'e_4' ), product1( 'e_4', 'e_3', 'e_1'
% 0.70/1.11 ), product1( 'e_4', 'e_3', 'e_2' ), product1( 'e_4', 'e_3', 'e_3' ) ] )
% 0.70/1.11 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 288, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3',
% 0.70/1.11 'e_2' ), product1( 'e_4', 'e_3', 'e_3' ) ] )
% 0.70/1.11 , clause( 798, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3',
% 0.70/1.11 'e_2' ), product1( 'e_4', 'e_3', 'e_3' ) ] )
% 0.70/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.70/1.11 , 2 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 799, [ equalish( 'e_4', 'e_3' ), product1( 'e_4', 'e_3', 'e_1' ),
% 0.70/1.11 product1( 'e_4', 'e_3', 'e_2' ) ] )
% 0.70/1.11 , clause( 45, [ equalish( X, Y ), ~( product1( X, Y, Y ) ) ] )
% 0.70/1.11 , 1, clause( 288, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3'
% 0.70/1.11 , 'e_2' ), product1( 'e_4', 'e_3', 'e_3' ) ] )
% 0.70/1.11 , 2, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_3' )] ), substitution( 1
% 0.70/1.11 , [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 800, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3',
% 0.70/1.11 'e_2' ) ] )
% 0.70/1.11 , clause( 15, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.70/1.11 , 0, clause( 799, [ equalish( 'e_4', 'e_3' ), product1( 'e_4', 'e_3', 'e_1'
% 0.70/1.11 ), product1( 'e_4', 'e_3', 'e_2' ) ] )
% 0.70/1.11 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 294, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3',
% 0.70/1.11 'e_2' ) ] )
% 0.70/1.11 , clause( 800, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3',
% 0.70/1.11 'e_2' ) ] )
% 0.70/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.70/1.11 ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 804, [ equalish( X, 'e_4' ), ~( product1( X, 'e_3', 'e_2' ) ),
% 0.70/1.11 product1( 'e_4', 'e_3', 'e_1' ) ] )
% 0.70/1.11 , clause( 19, [ equalish( X, T ), ~( product1( X, Y, Z ) ), ~( product1( T
% 0.70/1.11 , Y, Z ) ) ] )
% 0.70/1.11 , 2, clause( 294, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3'
% 0.70/1.11 , 'e_2' ) ] )
% 0.70/1.11 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'e_3' ), :=( Z, 'e_2' ), :=( T,
% 0.70/1.11 'e_4' )] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 298, [ equalish( X, 'e_4' ), product1( 'e_4', 'e_3', 'e_1' ), ~(
% 0.70/1.11 product1( X, 'e_3', 'e_2' ) ) ] )
% 0.70/1.11 , clause( 804, [ equalish( X, 'e_4' ), ~( product1( X, 'e_3', 'e_2' ) ),
% 0.70/1.11 product1( 'e_4', 'e_3', 'e_1' ) ] )
% 0.70/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.70/1.11 2 ), ==>( 2, 1 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 805, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.70/1.11 'e_2' ), product2( 'e_3', 'e_3', 'e_4' ), product1( 'e_4', 'e_3', 'e_1' )
% 0.70/1.11 ] )
% 0.70/1.11 , clause( 181, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.70/1.11 'e_2' ), product2( 'e_3', X, 'e_4' ), ~( product1( 'e_4', X, 'e_2' ) ) ]
% 0.70/1.11 )
% 0.70/1.11 , 3, clause( 294, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3'
% 0.70/1.11 , 'e_2' ) ] )
% 0.70/1.11 , 1, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 319, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.70/1.11 'e_2' ), product1( 'e_4', 'e_3', 'e_1' ), product2( 'e_3', 'e_3', 'e_4' )
% 0.70/1.11 ] )
% 0.70/1.11 , clause( 805, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.70/1.11 'e_2' ), product2( 'e_3', 'e_3', 'e_4' ), product1( 'e_4', 'e_3', 'e_1' )
% 0.70/1.11 ] )
% 0.70/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.70/1.11 , 3 ), ==>( 3, 2 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 806, [ equalish( 'e_4', 'e_3' ), product1( 'e_2', 'e_4', 'e_1' ),
% 0.70/1.11 product1( 'e_2', 'e_4', 'e_2' ), product1( 'e_4', 'e_3', 'e_1' ) ] )
% 0.70/1.11 , clause( 44, [ equalish( X, Y ), ~( product2( Y, Y, X ) ) ] )
% 0.70/1.11 , 1, clause( 319, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4'
% 0.70/1.11 , 'e_2' ), product1( 'e_4', 'e_3', 'e_1' ), product2( 'e_3', 'e_3', 'e_4'
% 0.70/1.11 ) ] )
% 0.70/1.11 , 3, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_3' )] ), substitution( 1
% 0.70/1.11 , [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 807, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.70/1.11 'e_2' ), product1( 'e_4', 'e_3', 'e_1' ) ] )
% 0.70/1.11 , clause( 15, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.70/1.11 , 0, clause( 806, [ equalish( 'e_4', 'e_3' ), product1( 'e_2', 'e_4', 'e_1'
% 0.70/1.11 ), product1( 'e_2', 'e_4', 'e_2' ), product1( 'e_4', 'e_3', 'e_1' ) ] )
% 0.70/1.11 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 323, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_4', 'e_3',
% 0.70/1.11 'e_1' ), product1( 'e_2', 'e_4', 'e_2' ) ] )
% 0.70/1.11 , clause( 807, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.70/1.11 'e_2' ), product1( 'e_4', 'e_3', 'e_1' ) ] )
% 0.70/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2
% 0.70/1.11 , 1 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 808, [ equalish( 'e_4', 'e_2' ), product1( 'e_2', 'e_4', 'e_1' ),
% 0.70/1.11 product1( 'e_4', 'e_3', 'e_1' ) ] )
% 0.70/1.11 , clause( 42, [ equalish( X, Y ), ~( product1( Y, X, Y ) ) ] )
% 0.70/1.11 , 1, clause( 323, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_4', 'e_3'
% 0.70/1.11 , 'e_1' ), product1( 'e_2', 'e_4', 'e_2' ) ] )
% 0.70/1.11 , 2, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_2' )] ), substitution( 1
% 0.70/1.11 , [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 809, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_4', 'e_3',
% 0.70/1.11 'e_1' ) ] )
% 0.70/1.11 , clause( 14, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.70/1.11 , 0, clause( 808, [ equalish( 'e_4', 'e_2' ), product1( 'e_2', 'e_4', 'e_1'
% 0.70/1.11 ), product1( 'e_4', 'e_3', 'e_1' ) ] )
% 0.70/1.11 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 329, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_2', 'e_4',
% 0.70/1.11 'e_1' ) ] )
% 0.70/1.11 , clause( 809, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_4', 'e_3',
% 0.70/1.11 'e_1' ) ] )
% 0.70/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.70/1.11 ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 813, [ ~( product1( 'e_4', X, 'e_2' ) ), product2( 'e_1', X, 'e_4'
% 0.70/1.11 ), product1( 'e_4', 'e_3', 'e_1' ) ] )
% 0.70/1.11 , clause( 26, [ ~( product1( X, Y, Z ) ), product2( T, Y, X ), ~( product1(
% 0.70/1.11 Z, X, T ) ) ] )
% 0.70/1.11 , 2, clause( 329, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_2', 'e_4'
% 0.70/1.11 , 'e_1' ) ] )
% 0.70/1.11 , 1, substitution( 0, [ :=( X, 'e_4' ), :=( Y, X ), :=( Z, 'e_2' ), :=( T,
% 0.70/1.11 'e_1' )] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 333, [ product1( 'e_4', 'e_3', 'e_1' ), product2( 'e_1', X, 'e_4' )
% 0.70/1.11 , ~( product1( 'e_4', X, 'e_2' ) ) ] )
% 0.70/1.11 , clause( 813, [ ~( product1( 'e_4', X, 'e_2' ) ), product2( 'e_1', X,
% 0.70/1.11 'e_4' ), product1( 'e_4', 'e_3', 'e_1' ) ] )
% 0.70/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.70/1.11 1 ), ==>( 2, 0 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 814, [ product1( 'e_4', 'e_3', 'e_1' ), product2( 'e_1', 'e_3',
% 0.70/1.11 'e_4' ), product1( 'e_4', 'e_3', 'e_1' ) ] )
% 0.70/1.11 , clause( 333, [ product1( 'e_4', 'e_3', 'e_1' ), product2( 'e_1', X, 'e_4'
% 0.70/1.11 ), ~( product1( 'e_4', X, 'e_2' ) ) ] )
% 0.70/1.11 , 2, clause( 294, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3'
% 0.70/1.11 , 'e_2' ) ] )
% 0.70/1.11 , 1, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 factor(
% 0.70/1.11 clause( 815, [ product1( 'e_4', 'e_3', 'e_1' ), product2( 'e_1', 'e_3',
% 0.70/1.11 'e_4' ) ] )
% 0.70/1.11 , clause( 814, [ product1( 'e_4', 'e_3', 'e_1' ), product2( 'e_1', 'e_3',
% 0.70/1.11 'e_4' ), product1( 'e_4', 'e_3', 'e_1' ) ] )
% 0.70/1.11 , 0, 2, substitution( 0, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 338, [ product1( 'e_4', 'e_3', 'e_1' ), product2( 'e_1', 'e_3',
% 0.70/1.11 'e_4' ) ] )
% 0.70/1.11 , clause( 815, [ product1( 'e_4', 'e_3', 'e_1' ), product2( 'e_1', 'e_3',
% 0.70/1.11 'e_4' ) ] )
% 0.70/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.70/1.11 ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 817, [ equalish( X, 'e_4' ), ~( product2( 'e_1', 'e_3', X ) ),
% 0.70/1.11 product1( 'e_4', 'e_3', 'e_1' ) ] )
% 0.70/1.11 , clause( 22, [ equalish( Z, T ), ~( product2( X, Y, Z ) ), ~( product2( X
% 0.70/1.11 , Y, T ) ) ] )
% 0.70/1.11 , 2, clause( 338, [ product1( 'e_4', 'e_3', 'e_1' ), product2( 'e_1', 'e_3'
% 0.70/1.11 , 'e_4' ) ] )
% 0.70/1.11 , 1, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_3' ), :=( Z, X ), :=( T,
% 0.70/1.11 'e_4' )] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 340, [ equalish( X, 'e_4' ), product1( 'e_4', 'e_3', 'e_1' ), ~(
% 0.70/1.11 product2( 'e_1', 'e_3', X ) ) ] )
% 0.70/1.11 , clause( 817, [ equalish( X, 'e_4' ), ~( product2( 'e_1', 'e_3', X ) ),
% 0.70/1.11 product1( 'e_4', 'e_3', 'e_1' ) ] )
% 0.70/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.70/1.11 2 ), ==>( 2, 1 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 818, [ equalish( 'e_1', 'e_2' ), product1( 'e_4', 'e_2', 'e_1' ),
% 0.70/1.11 product1( 'e_1', 'e_2', 'e_1' ), product1( 'e_1', 'e_2', 'e_2' ),
% 0.70/1.11 product1( 'e_1', 'e_2', 'e_3' ) ] )
% 0.70/1.11 , clause( 44, [ equalish( X, Y ), ~( product2( Y, Y, X ) ) ] )
% 0.70/1.11 , 1, clause( 275, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_1', 'e_2'
% 0.70/1.11 , 'e_1' ), product1( 'e_1', 'e_2', 'e_2' ), product1( 'e_1', 'e_2', 'e_3'
% 0.70/1.11 ), product2( 'e_2', 'e_2', 'e_1' ) ] )
% 0.70/1.11 , 4, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_2' )] ), substitution( 1
% 0.70/1.11 , [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 819, [ equalish( 'e_1', 'e_2' ), equalish( 'e_1', 'e_2' ), product1(
% 0.70/1.11 'e_4', 'e_2', 'e_1' ), product1( 'e_1', 'e_2', 'e_1' ), product1( 'e_1',
% 0.70/1.11 'e_2', 'e_3' ) ] )
% 0.70/1.11 , clause( 45, [ equalish( X, Y ), ~( product1( X, Y, Y ) ) ] )
% 0.70/1.11 , 1, clause( 818, [ equalish( 'e_1', 'e_2' ), product1( 'e_4', 'e_2', 'e_1'
% 0.70/1.11 ), product1( 'e_1', 'e_2', 'e_1' ), product1( 'e_1', 'e_2', 'e_2' ),
% 0.70/1.11 product1( 'e_1', 'e_2', 'e_3' ) ] )
% 0.70/1.11 , 3, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_2' )] ), substitution( 1
% 0.70/1.11 , [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 factor(
% 0.70/1.11 clause( 820, [ equalish( 'e_1', 'e_2' ), product1( 'e_4', 'e_2', 'e_1' ),
% 0.70/1.11 product1( 'e_1', 'e_2', 'e_1' ), product1( 'e_1', 'e_2', 'e_3' ) ] )
% 0.70/1.11 , clause( 819, [ equalish( 'e_1', 'e_2' ), equalish( 'e_1', 'e_2' ),
% 0.70/1.11 product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_1', 'e_2', 'e_1' ),
% 0.70/1.11 product1( 'e_1', 'e_2', 'e_3' ) ] )
% 0.70/1.11 , 0, 1, substitution( 0, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 568, [ product1( 'e_1', 'e_2', 'e_1' ), product1( 'e_4', 'e_2',
% 0.70/1.11 'e_1' ), equalish( 'e_1', 'e_2' ), product1( 'e_1', 'e_2', 'e_3' ) ] )
% 0.70/1.11 , clause( 820, [ equalish( 'e_1', 'e_2' ), product1( 'e_4', 'e_2', 'e_1' )
% 0.70/1.11 , product1( 'e_1', 'e_2', 'e_1' ), product1( 'e_1', 'e_2', 'e_3' ) ] )
% 0.70/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 1 ), ==>( 2
% 0.70/1.11 , 0 ), ==>( 3, 3 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 821, [ product1( 'e_1', 'e_2', 'e_1' ), product1( 'e_4', 'e_2',
% 0.70/1.11 'e_1' ), product1( 'e_1', 'e_2', 'e_3' ) ] )
% 0.70/1.11 , clause( 4, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.70/1.11 , 0, clause( 568, [ product1( 'e_1', 'e_2', 'e_1' ), product1( 'e_4', 'e_2'
% 0.70/1.11 , 'e_1' ), equalish( 'e_1', 'e_2' ), product1( 'e_1', 'e_2', 'e_3' ) ] )
% 0.70/1.11 , 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 572, [ product1( 'e_1', 'e_2', 'e_1' ), product1( 'e_4', 'e_2',
% 0.70/1.11 'e_1' ), product1( 'e_1', 'e_2', 'e_3' ) ] )
% 0.70/1.11 , clause( 821, [ product1( 'e_1', 'e_2', 'e_1' ), product1( 'e_4', 'e_2',
% 0.70/1.11 'e_1' ), product1( 'e_1', 'e_2', 'e_3' ) ] )
% 0.70/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.70/1.11 , 2 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 822, [ product1( 'e_4', 'e_2', 'e_1' ), equalish( 'e_1', 'e_4' ),
% 0.70/1.11 product1( 'e_4', 'e_2', 'e_2' ), product1( 'e_1', 'e_2', 'e_1' ),
% 0.70/1.11 product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.70/1.11 , clause( 99, [ product1( 'e_4', 'e_2', 'e_1' ), equalish( X, 'e_4' ),
% 0.70/1.11 product1( 'e_4', 'e_2', 'e_2' ), ~( product1( X, 'e_2', 'e_3' ) ) ] )
% 0.70/1.11 , 3, clause( 572, [ product1( 'e_1', 'e_2', 'e_1' ), product1( 'e_4', 'e_2'
% 0.70/1.11 , 'e_1' ), product1( 'e_1', 'e_2', 'e_3' ) ] )
% 0.70/1.11 , 2, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 824, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_2',
% 0.70/1.11 'e_2' ), product1( 'e_1', 'e_2', 'e_1' ), product1( 'e_4', 'e_2', 'e_1' )
% 0.70/1.11 ] )
% 0.70/1.11 , clause( 6, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.70/1.11 , 0, clause( 822, [ product1( 'e_4', 'e_2', 'e_1' ), equalish( 'e_1', 'e_4'
% 0.70/1.11 ), product1( 'e_4', 'e_2', 'e_2' ), product1( 'e_1', 'e_2', 'e_1' ),
% 0.70/1.11 product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.70/1.11 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 factor(
% 0.70/1.11 clause( 825, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_2',
% 0.70/1.11 'e_2' ), product1( 'e_1', 'e_2', 'e_1' ) ] )
% 0.70/1.11 , clause( 824, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_2',
% 0.70/1.11 'e_2' ), product1( 'e_1', 'e_2', 'e_1' ), product1( 'e_4', 'e_2', 'e_1' )
% 0.70/1.11 ] )
% 0.70/1.11 , 0, 3, substitution( 0, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 574, [ product1( 'e_1', 'e_2', 'e_1' ), product1( 'e_4', 'e_2',
% 0.70/1.11 'e_1' ), product1( 'e_4', 'e_2', 'e_2' ) ] )
% 0.70/1.11 , clause( 825, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_2',
% 0.70/1.11 'e_2' ), product1( 'e_1', 'e_2', 'e_1' ) ] )
% 0.70/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2
% 0.70/1.11 , 0 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 826, [ equalish( 'e_2', 'e_1' ), product1( 'e_4', 'e_2', 'e_1' ),
% 0.70/1.11 product1( 'e_1', 'e_2', 'e_1' ), product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.70/1.11 , clause( 272, [ equalish( X, 'e_1' ), product1( 'e_4', 'e_2', 'e_1' ), ~(
% 0.70/1.11 product1( 'e_4', X, 'e_2' ) ) ] )
% 0.70/1.11 , 2, clause( 574, [ product1( 'e_1', 'e_2', 'e_1' ), product1( 'e_4', 'e_2'
% 0.70/1.11 , 'e_1' ), product1( 'e_4', 'e_2', 'e_2' ) ] )
% 0.70/1.11 , 2, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 828, [ equalish( 'e_2', 'e_1' ), equalish( 'e_2', 'e_1' ), product1(
% 0.70/1.11 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.70/1.11 , clause( 42, [ equalish( X, Y ), ~( product1( Y, X, Y ) ) ] )
% 0.70/1.11 , 1, clause( 826, [ equalish( 'e_2', 'e_1' ), product1( 'e_4', 'e_2', 'e_1'
% 0.70/1.11 ), product1( 'e_1', 'e_2', 'e_1' ), product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.70/1.11 , 2, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_1' )] ), substitution( 1
% 0.70/1.11 , [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 factor(
% 0.70/1.11 clause( 830, [ equalish( 'e_2', 'e_1' ), equalish( 'e_2', 'e_1' ), product1(
% 0.70/1.11 'e_4', 'e_2', 'e_1' ) ] )
% 0.70/1.11 , clause( 828, [ equalish( 'e_2', 'e_1' ), equalish( 'e_2', 'e_1' ),
% 0.70/1.11 product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.70/1.11 , 2, 3, substitution( 0, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 factor(
% 0.70/1.11 clause( 831, [ equalish( 'e_2', 'e_1' ), product1( 'e_4', 'e_2', 'e_1' ) ]
% 0.70/1.11 )
% 0.70/1.11 , clause( 830, [ equalish( 'e_2', 'e_1' ), equalish( 'e_2', 'e_1' ),
% 0.70/1.11 product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.70/1.11 , 0, 1, substitution( 0, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 580, [ equalish( 'e_2', 'e_1' ), product1( 'e_4', 'e_2', 'e_1' ) ]
% 0.70/1.11 )
% 0.70/1.11 , clause( 831, [ equalish( 'e_2', 'e_1' ), product1( 'e_4', 'e_2', 'e_1' )
% 0.70/1.11 ] )
% 0.70/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.70/1.11 ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 832, [ product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.70/1.11 , clause( 7, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.70/1.11 , 0, clause( 580, [ equalish( 'e_2', 'e_1' ), product1( 'e_4', 'e_2', 'e_1'
% 0.70/1.11 ) ] )
% 0.70/1.11 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 583, [ product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.70/1.11 , clause( 832, [ product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.70/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 833, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.70/1.11 'e_1' ), product2( 'e_2', 'e_2', 'e_4' ) ] )
% 0.70/1.11 , clause( 190, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.70/1.11 'e_1' ), product2( 'e_2', X, 'e_4' ), ~( product1( 'e_4', X, 'e_1' ) ) ]
% 0.70/1.11 )
% 0.70/1.11 , 3, clause( 583, [ product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.70/1.11 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 590, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.70/1.11 'e_1' ), product2( 'e_2', 'e_2', 'e_4' ) ] )
% 0.70/1.11 , clause( 833, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.70/1.11 'e_1' ), product2( 'e_2', 'e_2', 'e_4' ) ] )
% 0.70/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.70/1.11 , 2 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 835, [ ~( product1( 'e_2', X, 'e_4' ) ), product2( 'e_1', X, 'e_2'
% 0.70/1.11 ) ] )
% 0.70/1.11 , clause( 26, [ ~( product1( X, Y, Z ) ), product2( T, Y, X ), ~( product1(
% 0.70/1.11 Z, X, T ) ) ] )
% 0.70/1.11 , 2, clause( 583, [ product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.70/1.11 , 0, substitution( 0, [ :=( X, 'e_2' ), :=( Y, X ), :=( Z, 'e_4' ), :=( T,
% 0.70/1.11 'e_1' )] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 591, [ product2( 'e_1', X, 'e_2' ), ~( product1( 'e_2', X, 'e_4' )
% 0.70/1.11 ) ] )
% 0.70/1.11 , clause( 835, [ ~( product1( 'e_2', X, 'e_4' ) ), product2( 'e_1', X,
% 0.70/1.11 'e_2' ) ] )
% 0.70/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.70/1.11 0 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 837, [ equalish( X, 'e_2' ), ~( product1( 'e_4', X, 'e_1' ) ) ] )
% 0.70/1.11 , clause( 18, [ equalish( Y, T ), ~( product1( X, Y, Z ) ), ~( product1( X
% 0.70/1.11 , T, Z ) ) ] )
% 0.70/1.11 , 2, clause( 583, [ product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.70/1.11 , 0, substitution( 0, [ :=( X, 'e_4' ), :=( Y, X ), :=( Z, 'e_1' ), :=( T,
% 0.70/1.11 'e_2' )] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 593, [ equalish( X, 'e_2' ), ~( product1( 'e_4', X, 'e_1' ) ) ] )
% 0.70/1.11 , clause( 837, [ equalish( X, 'e_2' ), ~( product1( 'e_4', X, 'e_1' ) ) ]
% 0.70/1.11 )
% 0.70/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.70/1.11 1 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 838, [ product2( 'e_1', 'e_3', 'e_2' ), product1( 'e_2', 'e_3',
% 0.70/1.11 'e_1' ), product1( 'e_2', 'e_3', 'e_2' ), product1( 'e_2', 'e_3', 'e_3' )
% 0.70/1.11 ] )
% 0.70/1.11 , clause( 591, [ product2( 'e_1', X, 'e_2' ), ~( product1( 'e_2', X, 'e_4'
% 0.70/1.11 ) ) ] )
% 0.70/1.11 , 1, clause( 103, [ product1( 'e_2', 'e_3', 'e_1' ), product1( 'e_2', 'e_3'
% 0.70/1.11 , 'e_2' ), product1( 'e_2', 'e_3', 'e_3' ), product1( 'e_2', 'e_3', 'e_4'
% 0.70/1.11 ) ] )
% 0.70/1.11 , 3, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 598, [ product1( 'e_2', 'e_3', 'e_1' ), product1( 'e_2', 'e_3',
% 0.70/1.11 'e_2' ), product1( 'e_2', 'e_3', 'e_3' ), product2( 'e_1', 'e_3', 'e_2' )
% 0.70/1.11 ] )
% 0.70/1.11 , clause( 838, [ product2( 'e_1', 'e_3', 'e_2' ), product1( 'e_2', 'e_3',
% 0.70/1.11 'e_1' ), product1( 'e_2', 'e_3', 'e_2' ), product1( 'e_2', 'e_3', 'e_3' )
% 0.70/1.11 ] )
% 0.70/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.70/1.11 , 1 ), ==>( 3, 2 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 839, [ equalish( 'e_4', 'e_2' ), product1( 'e_1', 'e_4', 'e_1' ),
% 0.70/1.11 product1( 'e_2', 'e_4', 'e_1' ) ] )
% 0.70/1.11 , clause( 44, [ equalish( X, Y ), ~( product2( Y, Y, X ) ) ] )
% 0.70/1.11 , 1, clause( 590, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_2', 'e_4'
% 0.70/1.11 , 'e_1' ), product2( 'e_2', 'e_2', 'e_4' ) ] )
% 0.70/1.11 , 2, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_2' )] ), substitution( 1
% 0.70/1.11 , [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 840, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.70/1.11 'e_1' ) ] )
% 0.70/1.11 , clause( 14, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.70/1.11 , 0, clause( 839, [ equalish( 'e_4', 'e_2' ), product1( 'e_1', 'e_4', 'e_1'
% 0.70/1.11 ), product1( 'e_2', 'e_4', 'e_1' ) ] )
% 0.70/1.11 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 609, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.70/1.11 'e_1' ) ] )
% 0.70/1.11 , clause( 840, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.70/1.11 'e_1' ) ] )
% 0.70/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.70/1.11 ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 844, [ equalish( X, 'e_4' ), ~( product1( 'e_2', X, 'e_1' ) ),
% 0.70/1.11 product1( 'e_1', 'e_4', 'e_1' ) ] )
% 0.70/1.11 , clause( 18, [ equalish( Y, T ), ~( product1( X, Y, Z ) ), ~( product1( X
% 0.70/1.11 , T, Z ) ) ] )
% 0.70/1.11 , 2, clause( 609, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_2', 'e_4'
% 0.70/1.11 , 'e_1' ) ] )
% 0.70/1.11 , 1, substitution( 0, [ :=( X, 'e_2' ), :=( Y, X ), :=( Z, 'e_1' ), :=( T,
% 0.70/1.11 'e_4' )] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 614, [ equalish( X, 'e_4' ), product1( 'e_1', 'e_4', 'e_1' ), ~(
% 0.70/1.11 product1( 'e_2', X, 'e_1' ) ) ] )
% 0.70/1.11 , clause( 844, [ equalish( X, 'e_4' ), ~( product1( 'e_2', X, 'e_1' ) ),
% 0.70/1.11 product1( 'e_1', 'e_4', 'e_1' ) ] )
% 0.70/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.70/1.11 2 ), ==>( 2, 1 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 845, [ equalish( 'e_2', 'e_4' ), product1( 'e_4', 'e_3', 'e_1' ),
% 0.70/1.11 product1( 'e_2', 'e_3', 'e_1' ), product1( 'e_2', 'e_3', 'e_2' ),
% 0.70/1.11 product1( 'e_2', 'e_3', 'e_3' ) ] )
% 0.70/1.11 , clause( 340, [ equalish( X, 'e_4' ), product1( 'e_4', 'e_3', 'e_1' ), ~(
% 0.70/1.11 product2( 'e_1', 'e_3', X ) ) ] )
% 0.70/1.11 , 2, clause( 598, [ product1( 'e_2', 'e_3', 'e_1' ), product1( 'e_2', 'e_3'
% 0.70/1.11 , 'e_2' ), product1( 'e_2', 'e_3', 'e_3' ), product2( 'e_1', 'e_3', 'e_2'
% 0.70/1.11 ) ] )
% 0.70/1.11 , 3, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 846, [ equalish( 'e_2', 'e_4' ), product1( 'e_4', 'e_3', 'e_1' ),
% 0.70/1.11 equalish( 'e_2', 'e_4' ), product1( 'e_4', 'e_3', 'e_1' ), product1(
% 0.70/1.11 'e_2', 'e_3', 'e_1' ), product1( 'e_2', 'e_3', 'e_3' ) ] )
% 0.70/1.11 , clause( 298, [ equalish( X, 'e_4' ), product1( 'e_4', 'e_3', 'e_1' ), ~(
% 0.70/1.11 product1( X, 'e_3', 'e_2' ) ) ] )
% 0.70/1.11 , 2, clause( 845, [ equalish( 'e_2', 'e_4' ), product1( 'e_4', 'e_3', 'e_1'
% 0.70/1.11 ), product1( 'e_2', 'e_3', 'e_1' ), product1( 'e_2', 'e_3', 'e_2' ),
% 0.70/1.11 product1( 'e_2', 'e_3', 'e_3' ) ] )
% 0.70/1.11 , 3, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 factor(
% 0.70/1.11 clause( 848, [ equalish( 'e_2', 'e_4' ), product1( 'e_4', 'e_3', 'e_1' ),
% 0.70/1.11 equalish( 'e_2', 'e_4' ), product1( 'e_2', 'e_3', 'e_1' ), product1(
% 0.70/1.11 'e_2', 'e_3', 'e_3' ) ] )
% 0.70/1.11 , clause( 846, [ equalish( 'e_2', 'e_4' ), product1( 'e_4', 'e_3', 'e_1' )
% 0.70/1.11 , equalish( 'e_2', 'e_4' ), product1( 'e_4', 'e_3', 'e_1' ), product1(
% 0.70/1.11 'e_2', 'e_3', 'e_1' ), product1( 'e_2', 'e_3', 'e_3' ) ] )
% 0.70/1.11 , 1, 3, substitution( 0, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 factor(
% 0.70/1.11 clause( 849, [ equalish( 'e_2', 'e_4' ), product1( 'e_4', 'e_3', 'e_1' ),
% 0.70/1.11 product1( 'e_2', 'e_3', 'e_1' ), product1( 'e_2', 'e_3', 'e_3' ) ] )
% 0.70/1.11 , clause( 848, [ equalish( 'e_2', 'e_4' ), product1( 'e_4', 'e_3', 'e_1' )
% 0.70/1.11 , equalish( 'e_2', 'e_4' ), product1( 'e_2', 'e_3', 'e_1' ), product1(
% 0.70/1.11 'e_2', 'e_3', 'e_3' ) ] )
% 0.70/1.11 , 0, 2, substitution( 0, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 621, [ product1( 'e_2', 'e_3', 'e_1' ), equalish( 'e_2', 'e_4' ),
% 0.70/1.11 product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_2', 'e_3', 'e_3' ) ] )
% 0.70/1.11 , clause( 849, [ equalish( 'e_2', 'e_4' ), product1( 'e_4', 'e_3', 'e_1' )
% 0.70/1.11 , product1( 'e_2', 'e_3', 'e_1' ), product1( 'e_2', 'e_3', 'e_3' ) ] )
% 0.70/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2
% 0.70/1.11 , 0 ), ==>( 3, 3 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 850, [ product1( 'e_2', 'e_3', 'e_1' ), product1( 'e_4', 'e_3',
% 0.70/1.11 'e_1' ), product1( 'e_2', 'e_3', 'e_3' ) ] )
% 0.70/1.11 , clause( 9, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 0.70/1.11 , 0, clause( 621, [ product1( 'e_2', 'e_3', 'e_1' ), equalish( 'e_2', 'e_4'
% 0.70/1.11 ), product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_2', 'e_3', 'e_3' ) ] )
% 0.70/1.11 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 627, [ product1( 'e_2', 'e_3', 'e_1' ), product1( 'e_4', 'e_3',
% 0.70/1.11 'e_1' ), product1( 'e_2', 'e_3', 'e_3' ) ] )
% 0.70/1.11 , clause( 850, [ product1( 'e_2', 'e_3', 'e_1' ), product1( 'e_4', 'e_3',
% 0.70/1.11 'e_1' ), product1( 'e_2', 'e_3', 'e_3' ) ] )
% 0.70/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.70/1.11 , 2 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 851, [ equalish( 'e_2', 'e_3' ), product1( 'e_2', 'e_3', 'e_1' ),
% 0.70/1.11 product1( 'e_4', 'e_3', 'e_1' ) ] )
% 0.70/1.11 , clause( 45, [ equalish( X, Y ), ~( product1( X, Y, Y ) ) ] )
% 0.70/1.11 , 1, clause( 627, [ product1( 'e_2', 'e_3', 'e_1' ), product1( 'e_4', 'e_3'
% 0.70/1.11 , 'e_1' ), product1( 'e_2', 'e_3', 'e_3' ) ] )
% 0.70/1.11 , 2, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_3' )] ), substitution( 1
% 0.70/1.11 , [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 852, [ product1( 'e_2', 'e_3', 'e_1' ), product1( 'e_4', 'e_3',
% 0.70/1.11 'e_1' ) ] )
% 0.70/1.11 , clause( 8, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.70/1.11 , 0, clause( 851, [ equalish( 'e_2', 'e_3' ), product1( 'e_2', 'e_3', 'e_1'
% 0.70/1.11 ), product1( 'e_4', 'e_3', 'e_1' ) ] )
% 0.70/1.11 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 631, [ product1( 'e_2', 'e_3', 'e_1' ), product1( 'e_4', 'e_3',
% 0.70/1.11 'e_1' ) ] )
% 0.70/1.11 , clause( 852, [ product1( 'e_2', 'e_3', 'e_1' ), product1( 'e_4', 'e_3',
% 0.70/1.11 'e_1' ) ] )
% 0.70/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.70/1.11 ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 853, [ equalish( 'e_3', 'e_2' ), product1( 'e_2', 'e_3', 'e_1' ) ]
% 0.70/1.11 )
% 0.70/1.11 , clause( 593, [ equalish( X, 'e_2' ), ~( product1( 'e_4', X, 'e_1' ) ) ]
% 0.70/1.11 )
% 0.70/1.11 , 1, clause( 631, [ product1( 'e_2', 'e_3', 'e_1' ), product1( 'e_4', 'e_3'
% 0.70/1.11 , 'e_1' ) ] )
% 0.70/1.11 , 1, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 854, [ product1( 'e_2', 'e_3', 'e_1' ) ] )
% 0.70/1.11 , clause( 11, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.70/1.11 , 0, clause( 853, [ equalish( 'e_3', 'e_2' ), product1( 'e_2', 'e_3', 'e_1'
% 0.70/1.11 ) ] )
% 0.70/1.11 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 632, [ product1( 'e_2', 'e_3', 'e_1' ) ] )
% 0.70/1.11 , clause( 854, [ product1( 'e_2', 'e_3', 'e_1' ) ] )
% 0.70/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 855, [ equalish( 'e_3', 'e_4' ), product1( 'e_1', 'e_4', 'e_1' ) ]
% 0.70/1.11 )
% 0.70/1.11 , clause( 614, [ equalish( X, 'e_4' ), product1( 'e_1', 'e_4', 'e_1' ), ~(
% 0.70/1.11 product1( 'e_2', X, 'e_1' ) ) ] )
% 0.70/1.11 , 2, clause( 632, [ product1( 'e_2', 'e_3', 'e_1' ) ] )
% 0.70/1.11 , 0, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 856, [ product1( 'e_1', 'e_4', 'e_1' ) ] )
% 0.70/1.11 , clause( 12, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.70/1.11 , 0, clause( 855, [ equalish( 'e_3', 'e_4' ), product1( 'e_1', 'e_4', 'e_1'
% 0.70/1.11 ) ] )
% 0.70/1.11 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 633, [ product1( 'e_1', 'e_4', 'e_1' ) ] )
% 0.70/1.11 , clause( 856, [ product1( 'e_1', 'e_4', 'e_1' ) ] )
% 0.70/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 857, [ equalish( 'e_4', 'e_1' ) ] )
% 0.70/1.11 , clause( 42, [ equalish( X, Y ), ~( product1( Y, X, Y ) ) ] )
% 0.70/1.11 , 1, clause( 633, [ product1( 'e_1', 'e_4', 'e_1' ) ] )
% 0.70/1.11 , 0, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_1' )] ), substitution( 1
% 0.70/1.11 , [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 resolution(
% 0.70/1.11 clause( 858, [] )
% 0.70/1.11 , clause( 13, [ ~( equalish( 'e_4', 'e_1' ) ) ] )
% 0.70/1.11 , 0, clause( 857, [ equalish( 'e_4', 'e_1' ) ] )
% 0.70/1.11 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 subsumption(
% 0.70/1.11 clause( 643, [] )
% 0.70/1.11 , clause( 858, [] )
% 0.70/1.11 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 end.
% 0.70/1.11
% 0.70/1.11 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.11
% 0.70/1.11 Memory use:
% 0.70/1.11
% 0.70/1.11 space for terms: 11831
% 0.70/1.11 space for clauses: 27766
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 clauses generated: 1635
% 0.70/1.11 clauses kept: 644
% 0.70/1.11 clauses selected: 363
% 0.70/1.11 clauses deleted: 110
% 0.70/1.11 clauses inuse deleted: 0
% 0.70/1.11
% 0.70/1.11 subsentry: 3696
% 0.70/1.11 literals s-matched: 2667
% 0.70/1.11 literals matched: 2340
% 0.70/1.11 full subsumption: 36
% 0.70/1.11
% 0.70/1.11 checksum: -1984677647
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 Bliksem ended
%------------------------------------------------------------------------------