%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP124-8.004 : 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 07:35:07 EDT 2022
% Result : Unsatisfiable 0.43s 1.09s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP124-8.004 : 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 23:37:47 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.43/1.09 *** allocated 10000 integers for termspace/termends
% 0.43/1.09 *** allocated 10000 integers for clauses
% 0.43/1.09 *** allocated 10000 integers for justifications
% 0.43/1.09 Bliksem 1.12
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 Automatic Strategy Selection
% 0.43/1.09
% 0.43/1.09 Clauses:
% 0.43/1.09 [
% 0.43/1.09 [ next( 'e_0', 'e_1' ) ],
% 0.43/1.09 [ next( 'e_1', 'e_2' ) ],
% 0.43/1.09 [ next( 'e_2', 'e_3' ) ],
% 0.43/1.09 [ next( 'e_3', 'e_4' ) ],
% 0.43/1.09 [ greater( 'e_1', 'e_0' ) ],
% 0.43/1.09 [ greater( 'e_2', 'e_0' ) ],
% 0.43/1.09 [ greater( 'e_3', 'e_0' ) ],
% 0.43/1.09 [ greater( 'e_4', 'e_0' ) ],
% 0.43/1.09 [ greater( 'e_2', 'e_1' ) ],
% 0.43/1.09 [ greater( 'e_3', 'e_1' ) ],
% 0.43/1.09 [ greater( 'e_4', 'e_1' ) ],
% 0.43/1.09 [ greater( 'e_3', 'e_2' ) ],
% 0.43/1.09 [ greater( 'e_4', 'e_2' ) ],
% 0.43/1.09 [ greater( 'e_4', 'e_3' ) ],
% 0.43/1.09 [ ~( cycle( X, Y ) ), ~( cycle( X, Z ) ), equalish( Y, Z ) ],
% 0.43/1.09 [ ~( 'group_element'( X ) ), cycle( X, 'e_0' ), cycle( X, 'e_1' ), cycle(
% 0.43/1.09 X, 'e_2' ), cycle( X, 'e_3' ) ],
% 0.43/1.09 [ cycle( 'e_4', 'e_0' ) ],
% 0.43/1.09 [ ~( cycle( X, Y ) ), ~( cycle( Z, T ) ), ~( next( X, Z ) ), ~( greater(
% 0.43/1.09 Y, 'e_0' ) ), ~( next( T, U ) ), equalish( Y, U ) ],
% 0.43/1.09 [ ~( cycle( X, Y ) ), ~( cycle( Z, 'e_0' ) ), ~( cycle( T, U ) ), ~(
% 0.43/1.09 next( Z, T ) ), ~( greater( Z, X ) ), ~( greater( Y, U ) ) ],
% 0.43/1.09 [ ~( cycle( X, 'e_0' ) ), ~( product( X, 'e_1', Y ) ), ~( greater( Y, X
% 0.43/1.09 ) ) ],
% 0.43/1.09 [ ~( cycle( X, Y ) ), ~( product( X, 'e_1', Z ) ), ~( greater( Y, 'e_0'
% 0.43/1.09 ) ), ~( next( X, T ) ), equalish( Z, T ) ],
% 0.43/1.09 [ 'group_element'( 'e_1' ) ],
% 0.43/1.09 [ 'group_element'( 'e_2' ) ],
% 0.43/1.09 [ 'group_element'( 'e_3' ) ],
% 0.43/1.09 [ 'group_element'( 'e_4' ) ],
% 0.43/1.09 [ ~( equalish( 'e_1', 'e_2' ) ) ],
% 0.43/1.09 [ ~( equalish( 'e_1', 'e_3' ) ) ],
% 0.43/1.09 [ ~( equalish( 'e_1', 'e_4' ) ) ],
% 0.43/1.09 [ ~( equalish( 'e_2', 'e_1' ) ) ],
% 0.43/1.09 [ ~( equalish( 'e_2', 'e_3' ) ) ],
% 0.43/1.09 [ ~( equalish( 'e_2', 'e_4' ) ) ],
% 0.43/1.09 [ ~( equalish( 'e_3', 'e_1' ) ) ],
% 0.43/1.09 [ ~( equalish( 'e_3', 'e_2' ) ) ],
% 0.43/1.09 [ ~( equalish( 'e_3', 'e_4' ) ) ],
% 0.43/1.09 [ ~( equalish( 'e_4', 'e_1' ) ) ],
% 0.43/1.09 [ ~( equalish( 'e_4', 'e_2' ) ) ],
% 0.43/1.09 [ ~( equalish( 'e_4', 'e_3' ) ) ],
% 0.43/1.09 [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ), product1( X, Y,
% 0.43/1.09 'e_1' ), product1( X, Y, 'e_2' ), product1( X, Y, 'e_3' ), product1( X, Y
% 0.43/1.09 , 'e_4' ) ],
% 0.43/1.09 [ ~( product1( X, Y, Z ) ), ~( product1( X, Y, T ) ), equalish( Z, T ) ]
% 0.43/1.09 ,
% 0.43/1.09 [ ~( product1( X, Y, Z ) ), ~( product1( X, T, Z ) ), equalish( Y, T ) ]
% 0.43/1.09 ,
% 0.43/1.09 [ ~( product1( X, Y, Z ) ), ~( product1( T, Y, Z ) ), equalish( X, T ) ]
% 0.43/1.09 ,
% 0.43/1.09 [ product1( X, X, X ) ],
% 0.43/1.09 [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ), product2( X, Y,
% 0.43/1.09 'e_1' ), product2( X, Y, 'e_2' ), product2( X, Y, 'e_3' ), product2( X, Y
% 0.43/1.09 , 'e_4' ) ],
% 0.43/1.09 [ ~( product2( X, Y, Z ) ), ~( product2( X, Y, T ) ), equalish( Z, T ) ]
% 0.43/1.09 ,
% 0.43/1.09 [ ~( product2( X, Y, Z ) ), ~( product2( X, T, Z ) ), equalish( Y, T ) ]
% 0.43/1.09 ,
% 0.43/1.09 [ ~( product2( X, Y, Z ) ), ~( product2( T, Y, Z ) ), equalish( X, T ) ]
% 0.43/1.09 ,
% 0.43/1.09 [ product2( X, X, X ) ],
% 0.43/1.09 [ ~( product1( X, Y, Z ) ), ~( product1( Z, X, T ) ), product2( T, Y, X
% 0.43/1.09 ) ]
% 0.43/1.09 ] .
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 percentage equality = 0.000000, percentage horn = 0.937500
% 0.43/1.09 This is a near-Horn, non-equality problem
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 Options Used:
% 0.43/1.09
% 0.43/1.09 useres = 1
% 0.43/1.09 useparamod = 0
% 0.43/1.09 useeqrefl = 0
% 0.43/1.09 useeqfact = 0
% 0.43/1.09 usefactor = 1
% 0.43/1.09 usesimpsplitting = 0
% 0.43/1.09 usesimpdemod = 0
% 0.43/1.09 usesimpres = 4
% 0.43/1.09
% 0.43/1.09 resimpinuse = 1000
% 0.43/1.09 resimpclauses = 20000
% 0.43/1.09 substype = standard
% 0.43/1.09 backwardsubs = 1
% 0.43/1.09 selectoldest = 5
% 0.43/1.09
% 0.43/1.09 litorderings [0] = split
% 0.43/1.09 litorderings [1] = liftord
% 0.43/1.09
% 0.43/1.09 termordering = none
% 0.43/1.09
% 0.43/1.09 litapriori = 1
% 0.43/1.09 termapriori = 0
% 0.43/1.09 litaposteriori = 0
% 0.43/1.09 termaposteriori = 0
% 0.43/1.09 demodaposteriori = 0
% 0.43/1.09 ordereqreflfact = 0
% 0.43/1.09
% 0.43/1.09 litselect = negative
% 0.43/1.09
% 0.43/1.09 maxweight = 30000
% 0.43/1.09 maxdepth = 30000
% 0.43/1.09 maxlength = 115
% 0.43/1.09 maxnrvars = 195
% 0.43/1.09 excuselevel = 0
% 0.43/1.09 increasemaxweight = 0
% 0.43/1.09
% 0.43/1.09 maxselected = 10000000
% 0.43/1.09 maxnrclauses = 10000000
% 0.43/1.09
% 0.43/1.09 showgenerated = 0
% 0.43/1.09 showkept = 0
% 0.43/1.09 showselected = 0
% 0.43/1.09 showdeleted = 0
% 0.43/1.09 showresimp = 1
% 0.43/1.09 showstatus = 2000
% 0.43/1.09
% 0.43/1.09 prologoutput = 1
% 0.43/1.09 nrgoals = 5000000
% 0.43/1.09 totalproof = 1
% 0.43/1.09
% 0.43/1.09 Symbols occurring in the translation:
% 0.43/1.09
% 0.43/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.43/1.09 . [1, 2] (w:1, o:27, a:1, s:1, b:0),
% 0.43/1.09 ! [4, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.43/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.09 'e_0' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.43/1.09 'e_1' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.43/1.09 next [41, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.43/1.09 'e_2' [42, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.43/1.09 'e_3' [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.43/1.09 'e_4' [44, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.43/1.09 greater [45, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.43/1.09 cycle [48, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.43/1.09 equalish [50, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.43/1.09 'group_element' [51, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.43/1.09 product [55, 3] (w:1, o:56, a:1, s:1, b:0),
% 0.43/1.09 product1 [57, 3] (w:1, o:57, a:1, s:1, b:0),
% 0.43/1.09 product2 [58, 3] (w:1, o:58, a:1, s:1, b:0).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 Starting Search:
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 Bliksems!, er is een bewijs:
% 0.43/1.09 % SZS status Unsatisfiable
% 0.43/1.09 % SZS output start Refutation
% 0.43/1.09
% 0.43/1.09 clause( 21, [ 'group_element'( 'e_1' ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 22, [ 'group_element'( 'e_2' ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 23, [ 'group_element'( 'e_3' ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 24, [ 'group_element'( 'e_4' ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 26, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 27, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 29, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 30, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 32, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 33, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 35, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 36, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 37, [ ~( 'group_element'( X ) ), product1( X, Y, 'e_4' ), product1(
% 0.43/1.09 X, Y, 'e_1' ), product1( X, Y, 'e_2' ), product1( X, Y, 'e_3' ), ~(
% 0.43/1.09 'group_element'( Y ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 39, [ equalish( Y, T ), ~( product1( X, Y, Z ) ), ~( product1( X, T
% 0.43/1.09 , Z ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 40, [ equalish( X, T ), ~( product1( X, Y, Z ) ), ~( product1( T, Y
% 0.43/1.09 , Z ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 41, [ product1( X, X, X ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 43, [ equalish( Z, T ), ~( product2( X, Y, Z ) ), ~( product2( X, Y
% 0.43/1.09 , T ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 46, [ product2( X, X, X ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 47, [ ~( product1( X, Y, Z ) ), product2( T, Y, X ), ~( product1( Z
% 0.43/1.09 , X, T ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 114, [ product1( X, 'e_2', 'e_4' ), product1( X, 'e_2', 'e_1' ),
% 0.43/1.09 product1( X, 'e_2', 'e_2' ), product1( X, 'e_2', 'e_3' ), ~(
% 0.43/1.09 'group_element'( X ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 115, [ product1( X, 'e_3', 'e_4' ), product1( X, 'e_3', 'e_1' ),
% 0.43/1.09 product1( X, 'e_3', 'e_2' ), product1( X, 'e_3', 'e_3' ), ~(
% 0.43/1.09 'group_element'( X ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 116, [ product1( X, 'e_4', 'e_4' ), product1( X, 'e_4', 'e_1' ),
% 0.43/1.09 product1( X, 'e_4', 'e_2' ), product1( X, 'e_4', 'e_3' ), ~(
% 0.43/1.09 'group_element'( X ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 118, [ equalish( X, Y ), ~( product1( Y, X, Y ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 120, [ equalish( X, Y ), ~( product1( X, Y, Y ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 127, [ equalish( X, Y ), ~( product2( Y, Y, X ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 283, [ product1( 'e_3', 'e_2', 'e_1' ), product1( 'e_3', 'e_2',
% 0.43/1.09 'e_2' ), product1( 'e_3', 'e_2', 'e_3' ), product1( 'e_3', 'e_2', 'e_4' )
% 0.43/1.09 ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 284, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_2',
% 0.43/1.09 'e_2' ), product1( 'e_4', 'e_2', 'e_3' ), product1( 'e_4', 'e_2', 'e_4' )
% 0.43/1.09 ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 288, [ product1( 'e_1', 'e_3', 'e_1' ), product1( 'e_1', 'e_3',
% 0.43/1.09 'e_2' ), product1( 'e_1', 'e_3', 'e_3' ), product1( 'e_1', 'e_3', 'e_4' )
% 0.43/1.09 ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 290, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3',
% 0.43/1.09 'e_2' ), product1( 'e_4', 'e_3', 'e_3' ), product1( 'e_4', 'e_3', 'e_4' )
% 0.43/1.09 ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 294, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4',
% 0.43/1.09 'e_2' ), product1( 'e_1', 'e_4', 'e_3' ), product1( 'e_1', 'e_4', 'e_4' )
% 0.43/1.09 ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 295, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.43/1.09 'e_2' ), product1( 'e_2', 'e_4', 'e_3' ), product1( 'e_2', 'e_4', 'e_4' )
% 0.43/1.09 ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 296, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4',
% 0.43/1.09 'e_2' ), product1( 'e_3', 'e_4', 'e_3' ), product1( 'e_3', 'e_4', 'e_4' )
% 0.43/1.09 ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 384, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_2',
% 0.43/1.09 'e_2' ), product1( 'e_4', 'e_2', 'e_3' ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 394, [ product1( 'e_1', 'e_3', 'e_1' ), product1( 'e_1', 'e_3',
% 0.43/1.09 'e_2' ), product2( 'e_4', X, 'e_3' ), product1( 'e_1', 'e_3', 'e_3' ),
% 0.43/1.09 ~( product1( 'e_3', X, 'e_1' ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 411, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3',
% 0.43/1.09 'e_2' ), product1( 'e_4', 'e_3', 'e_3' ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 415, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3',
% 0.43/1.09 'e_2' ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 416, [ product1( 'e_4', 'e_3', 'e_1' ), product2( 'e_2', X, 'e_3' )
% 0.43/1.09 , ~( product1( 'e_3', X, 'e_4' ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 422, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4',
% 0.43/1.09 'e_2' ), product1( 'e_1', 'e_4', 'e_3' ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 423, [ product1( 'e_1', 'e_4', 'e_1' ), product2( 'e_3', X, 'e_4' )
% 0.43/1.09 , product1( 'e_1', 'e_4', 'e_2' ), ~( product1( 'e_4', X, 'e_1' ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 431, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_3', 'e_2',
% 0.43/1.09 'e_1' ), product1( 'e_3', 'e_2', 'e_2' ), product1( 'e_3', 'e_2', 'e_3' )
% 0.43/1.09 , product2( 'e_2', 'e_2', 'e_3' ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 434, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.43/1.09 'e_2' ), product1( 'e_2', 'e_4', 'e_3' ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 435, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.43/1.09 'e_2' ), product2( 'e_3', X, 'e_4' ), ~( product1( 'e_4', X, 'e_2' ) ) ]
% 0.43/1.09 )
% 0.43/1.09 .
% 0.43/1.09 clause( 442, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4',
% 0.43/1.09 'e_2' ), product1( 'e_3', 'e_4', 'e_3' ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 447, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4',
% 0.43/1.09 'e_2' ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 448, [ product1( 'e_3', 'e_4', 'e_1' ), product2( 'e_2', X, 'e_4' )
% 0.43/1.09 , ~( product1( 'e_4', X, 'e_3' ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 455, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_4', 'e_2',
% 0.43/1.09 'e_1' ), product1( 'e_4', 'e_2', 'e_2' ), product2( 'e_2', 'e_2', 'e_4' )
% 0.43/1.09 ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 473, [ product1( 'e_4', 'e_2', 'e_1' ), equalish( 'e_4', 'e_2' ),
% 0.43/1.09 product1( 'e_3', 'e_4', 'e_1' ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 475, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_3', 'e_4',
% 0.43/1.09 'e_1' ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 477, [ equalish( X, 'e_3' ), product1( 'e_4', 'e_2', 'e_1' ), ~(
% 0.43/1.09 product1( X, 'e_4', 'e_1' ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 525, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.43/1.09 'e_2' ), product1( 'e_4', 'e_3', 'e_1' ), product2( 'e_3', 'e_3', 'e_4' )
% 0.43/1.09 ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 529, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_4', 'e_3',
% 0.43/1.09 'e_1' ), product1( 'e_2', 'e_4', 'e_2' ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 535, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_2', 'e_4',
% 0.43/1.09 'e_1' ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 536, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_3',
% 0.43/1.09 'e_1' ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 543, [ equalish( X, 'e_4' ), product1( 'e_4', 'e_2', 'e_1' ), ~(
% 0.43/1.09 product1( X, 'e_3', 'e_1' ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 580, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4',
% 0.43/1.09 'e_2' ), product1( 'e_4', 'e_2', 'e_1' ), product2( 'e_3', 'e_3', 'e_4' )
% 0.43/1.09 ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 583, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_4', 'e_2',
% 0.43/1.09 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 587, [ product1( 'e_4', 'e_2', 'e_1' ), equalish( X, 'e_4' ),
% 0.43/1.09 product1( 'e_1', 'e_4', 'e_1' ), ~( product1( 'e_1', X, 'e_2' ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 609, [ product1( 'e_1', 'e_3', 'e_1' ), product1( 'e_1', 'e_3',
% 0.43/1.09 'e_2' ), product1( 'e_1', 'e_3', 'e_3' ), product1( 'e_4', 'e_2', 'e_1' )
% 0.43/1.09 , product2( 'e_4', 'e_4', 'e_3' ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 617, [ product1( 'e_1', 'e_3', 'e_1' ), product1( 'e_1', 'e_3',
% 0.43/1.09 'e_2' ), product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_1', 'e_3', 'e_3' )
% 0.43/1.09 ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 620, [ product1( 'e_1', 'e_3', 'e_1' ), product1( 'e_4', 'e_2',
% 0.43/1.09 'e_1' ), product1( 'e_1', 'e_3', 'e_2' ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 621, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_1', 'e_3',
% 0.43/1.09 'e_1' ), product1( 'e_1', 'e_4', 'e_1' ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 628, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_1', 'e_3',
% 0.43/1.09 'e_1' ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 631, [ product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 635, [ equalish( X, 'e_4' ), ~( product1( X, 'e_2', 'e_1' ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 636, [ equalish( X, 'e_2' ), ~( product1( 'e_4', X, 'e_1' ) ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 662, [ product1( 'e_3', 'e_2', 'e_1' ), product1( 'e_3', 'e_2',
% 0.43/1.09 'e_2' ), equalish( 'e_3', 'e_2' ), product1( 'e_3', 'e_2', 'e_3' ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 664, [ product1( 'e_3', 'e_2', 'e_1' ), product1( 'e_3', 'e_2',
% 0.43/1.09 'e_3' ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 669, [ product1( 'e_3', 'e_2', 'e_1' ) ] )
% 0.43/1.09 .
% 0.43/1.09 clause( 670, [] )
% 0.43/1.09 .
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 % SZS output end Refutation
% 0.43/1.09 found a proof!
% 0.43/1.09
% 0.43/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.09
% 0.43/1.09 initialclauses(
% 0.43/1.09 [ clause( 672, [ next( 'e_0', 'e_1' ) ] )
% 0.43/1.09 , clause( 673, [ next( 'e_1', 'e_2' ) ] )
% 0.43/1.09 , clause( 674, [ next( 'e_2', 'e_3' ) ] )
% 0.43/1.09 , clause( 675, [ next( 'e_3', 'e_4' ) ] )
% 0.43/1.09 , clause( 676, [ greater( 'e_1', 'e_0' ) ] )
% 0.43/1.09 , clause( 677, [ greater( 'e_2', 'e_0' ) ] )
% 0.43/1.09 , clause( 678, [ greater( 'e_3', 'e_0' ) ] )
% 0.43/1.09 , clause( 679, [ greater( 'e_4', 'e_0' ) ] )
% 0.43/1.09 , clause( 680, [ greater( 'e_2', 'e_1' ) ] )
% 0.43/1.09 , clause( 681, [ greater( 'e_3', 'e_1' ) ] )
% 0.43/1.09 , clause( 682, [ greater( 'e_4', 'e_1' ) ] )
% 0.43/1.09 , clause( 683, [ greater( 'e_3', 'e_2' ) ] )
% 0.43/1.09 , clause( 684, [ greater( 'e_4', 'e_2' ) ] )
% 0.43/1.09 , clause( 685, [ greater( 'e_4', 'e_3' ) ] )
% 0.43/1.09 , clause( 686, [ ~( cycle( X, Y ) ), ~( cycle( X, Z ) ), equalish( Y, Z ) ]
% 0.43/1.09 )
% 0.43/1.09 , clause( 687, [ ~( 'group_element'( X ) ), cycle( X, 'e_0' ), cycle( X,
% 0.43/1.09 'e_1' ), cycle( X, 'e_2' ), cycle( X, 'e_3' ) ] )
% 0.43/1.09 , clause( 688, [ cycle( 'e_4', 'e_0' ) ] )
% 0.43/1.09 , clause( 689, [ ~( cycle( X, Y ) ), ~( cycle( Z, T ) ), ~( next( X, Z ) )
% 0.43/1.09 , ~( greater( Y, 'e_0' ) ), ~( next( T, U ) ), equalish( Y, U ) ] )
% 0.43/1.09 , clause( 690, [ ~( cycle( X, Y ) ), ~( cycle( Z, 'e_0' ) ), ~( cycle( T, U
% 0.43/1.09 ) ), ~( next( Z, T ) ), ~( greater( Z, X ) ), ~( greater( Y, U ) ) ] )
% 0.43/1.09 , clause( 691, [ ~( cycle( X, 'e_0' ) ), ~( product( X, 'e_1', Y ) ), ~(
% 0.43/1.09 greater( Y, X ) ) ] )
% 0.43/1.09 , clause( 692, [ ~( cycle( X, Y ) ), ~( product( X, 'e_1', Z ) ), ~(
% 0.43/1.09 greater( Y, 'e_0' ) ), ~( next( X, T ) ), equalish( Z, T ) ] )
% 0.43/1.09 , clause( 693, [ 'group_element'( 'e_1' ) ] )
% 0.43/1.09 , clause( 694, [ 'group_element'( 'e_2' ) ] )
% 0.43/1.09 , clause( 695, [ 'group_element'( 'e_3' ) ] )
% 0.43/1.09 , clause( 696, [ 'group_element'( 'e_4' ) ] )
% 0.43/1.09 , clause( 697, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.43/1.09 , clause( 698, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.43/1.09 , clause( 699, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.43/1.09 , clause( 700, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.43/1.09 , clause( 701, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.43/1.09 , clause( 702, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 0.43/1.09 , clause( 703, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.43/1.09 , clause( 704, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.43/1.09 , clause( 705, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.43/1.09 , clause( 706, [ ~( equalish( 'e_4', 'e_1' ) ) ] )
% 0.43/1.09 , clause( 707, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.43/1.09 , clause( 708, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.43/1.09 , clause( 709, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.43/1.09 product1( X, Y, 'e_1' ), product1( X, Y, 'e_2' ), product1( X, Y, 'e_3' )
% 0.43/1.09 , product1( X, Y, 'e_4' ) ] )
% 0.43/1.09 , clause( 710, [ ~( product1( X, Y, Z ) ), ~( product1( X, Y, T ) ),
% 0.43/1.09 equalish( Z, T ) ] )
% 0.43/1.09 , clause( 711, [ ~( product1( X, Y, Z ) ), ~( product1( X, T, Z ) ),
% 0.43/1.09 equalish( Y, T ) ] )
% 0.43/1.09 , clause( 712, [ ~( product1( X, Y, Z ) ), ~( product1( T, Y, Z ) ),
% 0.43/1.09 equalish( X, T ) ] )
% 0.43/1.09 , clause( 713, [ product1( X, X, X ) ] )
% 0.43/1.09 , clause( 714, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.43/1.09 product2( X, Y, 'e_1' ), product2( X, Y, 'e_2' ), product2( X, Y, 'e_3' )
% 0.43/1.09 , product2( X, Y, 'e_4' ) ] )
% 0.43/1.09 , clause( 715, [ ~( product2( X, Y, Z ) ), ~( product2( X, Y, T ) ),
% 0.43/1.09 equalish( Z, T ) ] )
% 0.43/1.09 , clause( 716, [ ~( product2( X, Y, Z ) ), ~( product2( X, T, Z ) ),
% 0.43/1.09 equalish( Y, T ) ] )
% 0.43/1.09 , clause( 717, [ ~( product2( X, Y, Z ) ), ~( product2( T, Y, Z ) ),
% 0.43/1.09 equalish( X, T ) ] )
% 0.43/1.09 , clause( 718, [ product2( X, X, X ) ] )
% 0.43/1.09 , clause( 719, [ ~( product1( X, Y, Z ) ), ~( product1( Z, X, T ) ),
% 0.43/1.09 product2( T, Y, X ) ] )
% 0.43/1.09 ] ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 21, [ 'group_element'( 'e_1' ) ] )
% 0.43/1.09 , clause( 693, [ 'group_element'( 'e_1' ) ] )
% 0.43/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 22, [ 'group_element'( 'e_2' ) ] )
% 0.43/1.09 , clause( 694, [ 'group_element'( 'e_2' ) ] )
% 0.43/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 23, [ 'group_element'( 'e_3' ) ] )
% 0.43/1.09 , clause( 695, [ 'group_element'( 'e_3' ) ] )
% 0.43/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 24, [ 'group_element'( 'e_4' ) ] )
% 0.43/1.09 , clause( 696, [ 'group_element'( 'e_4' ) ] )
% 0.43/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 26, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.43/1.09 , clause( 698, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.43/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 27, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.43/1.09 , clause( 699, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.43/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 29, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.43/1.09 , clause( 701, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.43/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 30, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 0.43/1.09 , clause( 702, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 0.43/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 32, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.43/1.09 , clause( 704, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.43/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 33, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.43/1.09 , clause( 705, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.43/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 35, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.43/1.09 , clause( 707, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.43/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 36, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.43/1.09 , clause( 708, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.43/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 37, [ ~( 'group_element'( X ) ), product1( X, Y, 'e_4' ), product1(
% 0.43/1.09 X, Y, 'e_1' ), product1( X, Y, 'e_2' ), product1( X, Y, 'e_3' ), ~(
% 0.43/1.09 'group_element'( Y ) ) ] )
% 0.43/1.09 , clause( 709, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.43/1.09 product1( X, Y, 'e_1' ), product1( X, Y, 'e_2' ), product1( X, Y, 'e_3' )
% 0.43/1.09 , product1( X, Y, 'e_4' ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.09 ), ==>( 1, 5 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 ), ==>( 5, 1 )] )
% 0.43/1.09 ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 39, [ equalish( Y, T ), ~( product1( X, Y, Z ) ), ~( product1( X, T
% 0.43/1.09 , Z ) ) ] )
% 0.43/1.09 , clause( 711, [ ~( product1( X, Y, Z ) ), ~( product1( X, T, Z ) ),
% 0.43/1.09 equalish( Y, T ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.43/1.09 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 40, [ equalish( X, T ), ~( product1( X, Y, Z ) ), ~( product1( T, Y
% 0.43/1.09 , Z ) ) ] )
% 0.43/1.09 , clause( 712, [ ~( product1( X, Y, Z ) ), ~( product1( T, Y, Z ) ),
% 0.43/1.09 equalish( X, T ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.43/1.09 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 41, [ product1( X, X, X ) ] )
% 0.43/1.09 , clause( 713, [ product1( X, X, X ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 43, [ equalish( Z, T ), ~( product2( X, Y, Z ) ), ~( product2( X, Y
% 0.43/1.09 , T ) ) ] )
% 0.43/1.09 , clause( 715, [ ~( product2( X, Y, Z ) ), ~( product2( X, Y, T ) ),
% 0.43/1.09 equalish( Z, T ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.43/1.09 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 46, [ product2( X, X, X ) ] )
% 0.43/1.09 , clause( 718, [ product2( X, X, X ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 47, [ ~( product1( X, Y, Z ) ), product2( T, Y, X ), ~( product1( Z
% 0.43/1.09 , X, T ) ) ] )
% 0.43/1.09 , clause( 719, [ ~( product1( X, Y, Z ) ), ~( product1( Z, X, T ) ),
% 0.43/1.09 product2( T, Y, X ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.43/1.09 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 resolution(
% 0.43/1.09 clause( 1003, [ ~( 'group_element'( X ) ), product1( X, 'e_2', 'e_4' ),
% 0.43/1.09 product1( X, 'e_2', 'e_1' ), product1( X, 'e_2', 'e_2' ), product1( X,
% 0.43/1.09 'e_2', 'e_3' ) ] )
% 0.43/1.09 , clause( 37, [ ~( 'group_element'( X ) ), product1( X, Y, 'e_4' ),
% 0.43/1.09 product1( X, Y, 'e_1' ), product1( X, Y, 'e_2' ), product1( X, Y, 'e_3' )
% 0.43/1.09 , ~( 'group_element'( Y ) ) ] )
% 0.43/1.09 , 5, clause( 22, [ 'group_element'( 'e_2' ) ] )
% 0.43/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_2' )] ), substitution( 1, [] )
% 0.43/1.09 ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 114, [ product1( X, 'e_2', 'e_4' ), product1( X, 'e_2', 'e_1' ),
% 0.43/1.09 product1( X, 'e_2', 'e_2' ), product1( X, 'e_2', 'e_3' ), ~(
% 0.43/1.09 'group_element'( X ) ) ] )
% 0.43/1.09 , clause( 1003, [ ~( 'group_element'( X ) ), product1( X, 'e_2', 'e_4' ),
% 0.43/1.09 product1( X, 'e_2', 'e_1' ), product1( X, 'e_2', 'e_2' ), product1( X,
% 0.43/1.09 'e_2', 'e_3' ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 4 ), ==>( 1,
% 0.43/1.09 0 ), ==>( 2, 1 ), ==>( 3, 2 ), ==>( 4, 3 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 resolution(
% 0.43/1.09 clause( 1005, [ ~( 'group_element'( X ) ), product1( X, 'e_3', 'e_4' ),
% 0.43/1.09 product1( X, 'e_3', 'e_1' ), product1( X, 'e_3', 'e_2' ), product1( X,
% 0.43/1.09 'e_3', 'e_3' ) ] )
% 0.43/1.09 , clause( 37, [ ~( 'group_element'( X ) ), product1( X, Y, 'e_4' ),
% 0.43/1.09 product1( X, Y, 'e_1' ), product1( X, Y, 'e_2' ), product1( X, Y, 'e_3' )
% 0.43/1.09 , ~( 'group_element'( Y ) ) ] )
% 0.43/1.09 , 5, clause( 23, [ 'group_element'( 'e_3' ) ] )
% 0.43/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_3' )] ), substitution( 1, [] )
% 0.43/1.09 ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 115, [ product1( X, 'e_3', 'e_4' ), product1( X, 'e_3', 'e_1' ),
% 0.43/1.09 product1( X, 'e_3', 'e_2' ), product1( X, 'e_3', 'e_3' ), ~(
% 0.43/1.09 'group_element'( X ) ) ] )
% 0.43/1.09 , clause( 1005, [ ~( 'group_element'( X ) ), product1( X, 'e_3', 'e_4' ),
% 0.43/1.09 product1( X, 'e_3', 'e_1' ), product1( X, 'e_3', 'e_2' ), product1( X,
% 0.43/1.09 'e_3', 'e_3' ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 4 ), ==>( 1,
% 0.43/1.09 0 ), ==>( 2, 1 ), ==>( 3, 2 ), ==>( 4, 3 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 resolution(
% 0.43/1.09 clause( 1007, [ ~( 'group_element'( X ) ), product1( X, 'e_4', 'e_4' ),
% 0.43/1.09 product1( X, 'e_4', 'e_1' ), product1( X, 'e_4', 'e_2' ), product1( X,
% 0.43/1.09 'e_4', 'e_3' ) ] )
% 0.43/1.09 , clause( 37, [ ~( 'group_element'( X ) ), product1( X, Y, 'e_4' ),
% 0.43/1.09 product1( X, Y, 'e_1' ), product1( X, Y, 'e_2' ), product1( X, Y, 'e_3' )
% 0.43/1.09 , ~( 'group_element'( Y ) ) ] )
% 0.43/1.09 , 5, clause( 24, [ 'group_element'( 'e_4' ) ] )
% 0.43/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_4' )] ), substitution( 1, [] )
% 0.43/1.09 ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 116, [ product1( X, 'e_4', 'e_4' ), product1( X, 'e_4', 'e_1' ),
% 0.43/1.09 product1( X, 'e_4', 'e_2' ), product1( X, 'e_4', 'e_3' ), ~(
% 0.43/1.09 'group_element'( X ) ) ] )
% 0.43/1.09 , clause( 1007, [ ~( 'group_element'( X ) ), product1( X, 'e_4', 'e_4' ),
% 0.43/1.09 product1( X, 'e_4', 'e_1' ), product1( X, 'e_4', 'e_2' ), product1( X,
% 0.43/1.09 'e_4', 'e_3' ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 4 ), ==>( 1,
% 0.43/1.09 0 ), ==>( 2, 1 ), ==>( 3, 2 ), ==>( 4, 3 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 resolution(
% 0.43/1.09 clause( 1009, [ equalish( X, Y ), ~( product1( Y, X, Y ) ) ] )
% 0.43/1.09 , clause( 39, [ equalish( Y, T ), ~( product1( X, Y, Z ) ), ~( product1( X
% 0.43/1.09 , T, Z ) ) ] )
% 0.43/1.09 , 2, clause( 41, [ product1( X, X, X ) ] )
% 0.43/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Y ), :=( T, Y )] ),
% 0.43/1.09 substitution( 1, [ :=( X, Y )] )).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 118, [ equalish( X, Y ), ~( product1( Y, X, Y ) ) ] )
% 0.43/1.09 , clause( 1009, [ equalish( X, Y ), ~( product1( Y, X, Y ) ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.09 ), ==>( 1, 1 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 resolution(
% 0.43/1.09 clause( 1011, [ equalish( X, Y ), ~( product1( X, Y, Y ) ) ] )
% 0.43/1.09 , clause( 40, [ equalish( X, T ), ~( product1( X, Y, Z ) ), ~( product1( T
% 0.43/1.09 , Y, Z ) ) ] )
% 0.43/1.09 , 2, clause( 41, [ product1( X, X, X ) ] )
% 0.43/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, Y )] ),
% 0.43/1.09 substitution( 1, [ :=( X, Y )] )).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 120, [ equalish( X, Y ), ~( product1( X, Y, Y ) ) ] )
% 0.43/1.09 , clause( 1011, [ equalish( X, Y ), ~( product1( X, Y, Y ) ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.09 ), ==>( 1, 1 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 resolution(
% 0.43/1.09 clause( 1013, [ equalish( X, Y ), ~( product2( Y, Y, X ) ) ] )
% 0.43/1.09 , clause( 43, [ equalish( Z, T ), ~( product2( X, Y, Z ) ), ~( product2( X
% 0.43/1.09 , Y, T ) ) ] )
% 0.43/1.09 , 2, clause( 46, [ product2( X, X, X ) ] )
% 0.43/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Y ), :=( Z, X ), :=( T, Y )] ),
% 0.43/1.09 substitution( 1, [ :=( X, Y )] )).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 127, [ equalish( X, Y ), ~( product2( Y, Y, X ) ) ] )
% 0.43/1.09 , clause( 1013, [ equalish( X, Y ), ~( product2( Y, Y, X ) ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.09 ), ==>( 1, 1 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 resolution(
% 0.43/1.09 clause( 1014, [ product1( 'e_3', 'e_2', 'e_4' ), product1( 'e_3', 'e_2',
% 0.43/1.09 'e_1' ), product1( 'e_3', 'e_2', 'e_2' ), product1( 'e_3', 'e_2', 'e_3' )
% 0.43/1.09 ] )
% 0.43/1.09 , clause( 114, [ product1( X, 'e_2', 'e_4' ), product1( X, 'e_2', 'e_1' ),
% 0.43/1.09 product1( X, 'e_2', 'e_2' ), product1( X, 'e_2', 'e_3' ), ~(
% 0.43/1.09 'group_element'( X ) ) ] )
% 0.43/1.09 , 4, clause( 23, [ 'group_element'( 'e_3' ) ] )
% 0.43/1.09 , 0, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 283, [ product1( 'e_3', 'e_2', 'e_1' ), product1( 'e_3', 'e_2',
% 0.43/1.09 'e_2' ), product1( 'e_3', 'e_2', 'e_3' ), product1( 'e_3', 'e_2', 'e_4' )
% 0.43/1.09 ] )
% 0.43/1.09 , clause( 1014, [ product1( 'e_3', 'e_2', 'e_4' ), product1( 'e_3', 'e_2',
% 0.43/1.09 'e_1' ), product1( 'e_3', 'e_2', 'e_2' ), product1( 'e_3', 'e_2', 'e_3' )
% 0.43/1.09 ] )
% 0.43/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.43/1.09 , 1 ), ==>( 3, 2 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 resolution(
% 0.43/1.09 clause( 1015, [ product1( 'e_4', 'e_2', 'e_4' ), product1( 'e_4', 'e_2',
% 0.43/1.09 'e_1' ), product1( 'e_4', 'e_2', 'e_2' ), product1( 'e_4', 'e_2', 'e_3' )
% 0.43/1.09 ] )
% 0.43/1.09 , clause( 114, [ product1( X, 'e_2', 'e_4' ), product1( X, 'e_2', 'e_1' ),
% 0.43/1.09 product1( X, 'e_2', 'e_2' ), product1( X, 'e_2', 'e_3' ), ~(
% 0.43/1.09 'group_element'( X ) ) ] )
% 0.43/1.09 , 4, clause( 24, [ 'group_element'( 'e_4' ) ] )
% 0.43/1.09 , 0, substitution( 0, [ :=( X, 'e_4' )] ), substitution( 1, [] )).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 284, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_2',
% 0.43/1.09 'e_2' ), product1( 'e_4', 'e_2', 'e_3' ), product1( 'e_4', 'e_2', 'e_4' )
% 0.43/1.09 ] )
% 0.43/1.09 , clause( 1015, [ product1( 'e_4', 'e_2', 'e_4' ), product1( 'e_4', 'e_2',
% 0.43/1.09 'e_1' ), product1( 'e_4', 'e_2', 'e_2' ), product1( 'e_4', 'e_2', 'e_3' )
% 0.43/1.09 ] )
% 0.43/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.43/1.09 , 1 ), ==>( 3, 2 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 resolution(
% 0.43/1.09 clause( 1016, [ product1( 'e_1', 'e_3', 'e_4' ), product1( 'e_1', 'e_3',
% 0.43/1.09 'e_1' ), product1( 'e_1', 'e_3', 'e_2' ), product1( 'e_1', 'e_3', 'e_3' )
% 0.43/1.09 ] )
% 0.43/1.09 , clause( 115, [ product1( X, 'e_3', 'e_4' ), product1( X, 'e_3', 'e_1' ),
% 0.43/1.09 product1( X, 'e_3', 'e_2' ), product1( X, 'e_3', 'e_3' ), ~(
% 0.43/1.09 'group_element'( X ) ) ] )
% 0.43/1.09 , 4, clause( 21, [ 'group_element'( 'e_1' ) ] )
% 0.43/1.09 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 288, [ product1( 'e_1', 'e_3', 'e_1' ), product1( 'e_1', 'e_3',
% 0.43/1.09 'e_2' ), product1( 'e_1', 'e_3', 'e_3' ), product1( 'e_1', 'e_3', 'e_4' )
% 0.43/1.09 ] )
% 0.43/1.09 , clause( 1016, [ product1( 'e_1', 'e_3', 'e_4' ), product1( 'e_1', 'e_3',
% 0.43/1.09 'e_1' ), product1( 'e_1', 'e_3', 'e_2' ), product1( 'e_1', 'e_3', 'e_3' )
% 0.43/1.09 ] )
% 0.43/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.43/1.09 , 1 ), ==>( 3, 2 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 resolution(
% 0.43/1.09 clause( 1017, [ product1( 'e_4', 'e_3', 'e_4' ), product1( 'e_4', 'e_3',
% 0.43/1.09 'e_1' ), product1( 'e_4', 'e_3', 'e_2' ), product1( 'e_4', 'e_3', 'e_3' )
% 0.43/1.09 ] )
% 0.43/1.09 , clause( 115, [ product1( X, 'e_3', 'e_4' ), product1( X, 'e_3', 'e_1' ),
% 0.43/1.09 product1( X, 'e_3', 'e_2' ), product1( X, 'e_3', 'e_3' ), ~(
% 0.43/1.09 'group_element'( X ) ) ] )
% 0.43/1.09 , 4, clause( 24, [ 'group_element'( 'e_4' ) ] )
% 0.43/1.09 , 0, substitution( 0, [ :=( X, 'e_4' )] ), substitution( 1, [] )).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 290, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3',
% 0.43/1.09 'e_2' ), product1( 'e_4', 'e_3', 'e_3' ), product1( 'e_4', 'e_3', 'e_4' )
% 0.43/1.09 ] )
% 0.43/1.09 , clause( 1017, [ product1( 'e_4', 'e_3', 'e_4' ), product1( 'e_4', 'e_3',
% 0.43/1.09 'e_1' ), product1( 'e_4', 'e_3', 'e_2' ), product1( 'e_4', 'e_3', 'e_3' )
% 0.43/1.09 ] )
% 0.43/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.43/1.09 , 1 ), ==>( 3, 2 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 resolution(
% 0.43/1.09 clause( 1018, [ product1( 'e_1', 'e_4', 'e_4' ), product1( 'e_1', 'e_4',
% 0.43/1.09 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ), product1( 'e_1', 'e_4', 'e_3' )
% 0.43/1.09 ] )
% 0.43/1.09 , clause( 116, [ product1( X, 'e_4', 'e_4' ), product1( X, 'e_4', 'e_1' ),
% 0.43/1.09 product1( X, 'e_4', 'e_2' ), product1( X, 'e_4', 'e_3' ), ~(
% 0.43/1.09 'group_element'( X ) ) ] )
% 0.43/1.09 , 4, clause( 21, [ 'group_element'( 'e_1' ) ] )
% 0.43/1.09 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 294, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4',
% 0.43/1.09 'e_2' ), product1( 'e_1', 'e_4', 'e_3' ), product1( 'e_1', 'e_4', 'e_4' )
% 0.43/1.09 ] )
% 0.43/1.09 , clause( 1018, [ product1( 'e_1', 'e_4', 'e_4' ), product1( 'e_1', 'e_4',
% 0.43/1.09 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ), product1( 'e_1', 'e_4', 'e_3' )
% 0.43/1.09 ] )
% 0.43/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.43/1.09 , 1 ), ==>( 3, 2 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 resolution(
% 0.43/1.09 clause( 1019, [ product1( 'e_2', 'e_4', 'e_4' ), product1( 'e_2', 'e_4',
% 0.43/1.09 'e_1' ), product1( 'e_2', 'e_4', 'e_2' ), product1( 'e_2', 'e_4', 'e_3' )
% 0.43/1.09 ] )
% 0.43/1.09 , clause( 116, [ product1( X, 'e_4', 'e_4' ), product1( X, 'e_4', 'e_1' ),
% 0.43/1.09 product1( X, 'e_4', 'e_2' ), product1( X, 'e_4', 'e_3' ), ~(
% 0.43/1.09 'group_element'( X ) ) ] )
% 0.43/1.09 , 4, clause( 22, [ 'group_element'( 'e_2' ) ] )
% 0.43/1.09 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 295, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.43/1.09 'e_2' ), product1( 'e_2', 'e_4', 'e_3' ), product1( 'e_2', 'e_4', 'e_4' )
% 0.43/1.09 ] )
% 0.43/1.09 , clause( 1019, [ product1( 'e_2', 'e_4', 'e_4' ), product1( 'e_2', 'e_4',
% 0.43/1.10 'e_1' ), product1( 'e_2', 'e_4', 'e_2' ), product1( 'e_2', 'e_4', 'e_3' )
% 0.43/1.10 ] )
% 0.43/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.43/1.10 , 1 ), ==>( 3, 2 )] ) ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1020, [ product1( 'e_3', 'e_4', 'e_4' ), product1( 'e_3', 'e_4',
% 0.43/1.10 'e_1' ), product1( 'e_3', 'e_4', 'e_2' ), product1( 'e_3', 'e_4', 'e_3' )
% 0.43/1.10 ] )
% 0.43/1.10 , clause( 116, [ product1( X, 'e_4', 'e_4' ), product1( X, 'e_4', 'e_1' ),
% 0.43/1.10 product1( X, 'e_4', 'e_2' ), product1( X, 'e_4', 'e_3' ), ~(
% 0.43/1.10 'group_element'( X ) ) ] )
% 0.43/1.10 , 4, clause( 23, [ 'group_element'( 'e_3' ) ] )
% 0.43/1.10 , 0, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 subsumption(
% 0.43/1.10 clause( 296, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4',
% 0.43/1.10 'e_2' ), product1( 'e_3', 'e_4', 'e_3' ), product1( 'e_3', 'e_4', 'e_4' )
% 0.43/1.10 ] )
% 0.43/1.10 , clause( 1020, [ product1( 'e_3', 'e_4', 'e_4' ), product1( 'e_3', 'e_4',
% 0.43/1.10 'e_1' ), product1( 'e_3', 'e_4', 'e_2' ), product1( 'e_3', 'e_4', 'e_3' )
% 0.43/1.10 ] )
% 0.43/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.43/1.10 , 1 ), ==>( 3, 2 )] ) ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1021, [ equalish( 'e_2', 'e_4' ), product1( 'e_4', 'e_2', 'e_1' ),
% 0.43/1.10 product1( 'e_4', 'e_2', 'e_2' ), product1( 'e_4', 'e_2', 'e_3' ) ] )
% 0.43/1.10 , clause( 118, [ equalish( X, Y ), ~( product1( Y, X, Y ) ) ] )
% 0.43/1.10 , 1, clause( 284, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_2'
% 0.43/1.10 , 'e_2' ), product1( 'e_4', 'e_2', 'e_3' ), product1( 'e_4', 'e_2', 'e_4'
% 0.43/1.10 ) ] )
% 0.43/1.10 , 3, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_4' )] ), substitution( 1
% 0.43/1.10 , [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1022, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_2',
% 0.43/1.10 'e_2' ), product1( 'e_4', 'e_2', 'e_3' ) ] )
% 0.43/1.10 , clause( 30, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 0.43/1.10 , 0, clause( 1021, [ equalish( 'e_2', 'e_4' ), product1( 'e_4', 'e_2',
% 0.43/1.10 'e_1' ), product1( 'e_4', 'e_2', 'e_2' ), product1( 'e_4', 'e_2', 'e_3' )
% 0.43/1.10 ] )
% 0.43/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 subsumption(
% 0.43/1.10 clause( 384, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_2',
% 0.43/1.10 'e_2' ), product1( 'e_4', 'e_2', 'e_3' ) ] )
% 0.43/1.10 , clause( 1022, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_2',
% 0.43/1.10 'e_2' ), product1( 'e_4', 'e_2', 'e_3' ) ] )
% 0.43/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.43/1.10 , 2 )] ) ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1030, [ ~( product1( 'e_3', X, 'e_1' ) ), product2( 'e_4', X, 'e_3'
% 0.43/1.10 ), product1( 'e_1', 'e_3', 'e_1' ), product1( 'e_1', 'e_3', 'e_2' ),
% 0.43/1.10 product1( 'e_1', 'e_3', 'e_3' ) ] )
% 0.43/1.10 , clause( 47, [ ~( product1( X, Y, Z ) ), product2( T, Y, X ), ~( product1(
% 0.43/1.10 Z, X, T ) ) ] )
% 0.43/1.10 , 2, clause( 288, [ product1( 'e_1', 'e_3', 'e_1' ), product1( 'e_1', 'e_3'
% 0.43/1.10 , 'e_2' ), product1( 'e_1', 'e_3', 'e_3' ), product1( 'e_1', 'e_3', 'e_4'
% 0.43/1.10 ) ] )
% 0.43/1.10 , 3, substitution( 0, [ :=( X, 'e_3' ), :=( Y, X ), :=( Z, 'e_1' ), :=( T,
% 0.43/1.10 'e_4' )] ), substitution( 1, [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 subsumption(
% 0.43/1.10 clause( 394, [ product1( 'e_1', 'e_3', 'e_1' ), product1( 'e_1', 'e_3',
% 0.43/1.10 'e_2' ), product2( 'e_4', X, 'e_3' ), product1( 'e_1', 'e_3', 'e_3' ),
% 0.43/1.10 ~( product1( 'e_3', X, 'e_1' ) ) ] )
% 0.43/1.10 , clause( 1030, [ ~( product1( 'e_3', X, 'e_1' ) ), product2( 'e_4', X,
% 0.43/1.10 'e_3' ), product1( 'e_1', 'e_3', 'e_1' ), product1( 'e_1', 'e_3', 'e_2' )
% 0.43/1.10 , product1( 'e_1', 'e_3', 'e_3' ) ] )
% 0.43/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 4 ), ==>( 1,
% 0.43/1.10 2 ), ==>( 2, 0 ), ==>( 3, 1 ), ==>( 4, 3 )] ) ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1031, [ equalish( 'e_3', 'e_4' ), product1( 'e_4', 'e_3', 'e_1' ),
% 0.43/1.10 product1( 'e_4', 'e_3', 'e_2' ), product1( 'e_4', 'e_3', 'e_3' ) ] )
% 0.43/1.10 , clause( 118, [ equalish( X, Y ), ~( product1( Y, X, Y ) ) ] )
% 0.43/1.10 , 1, clause( 290, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3'
% 0.43/1.10 , 'e_2' ), product1( 'e_4', 'e_3', 'e_3' ), product1( 'e_4', 'e_3', 'e_4'
% 0.43/1.10 ) ] )
% 0.43/1.10 , 3, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_4' )] ), substitution( 1
% 0.43/1.10 , [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1032, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3',
% 0.43/1.10 'e_2' ), product1( 'e_4', 'e_3', 'e_3' ) ] )
% 0.43/1.10 , clause( 33, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.43/1.10 , 0, clause( 1031, [ equalish( 'e_3', 'e_4' ), product1( 'e_4', 'e_3',
% 0.43/1.10 'e_1' ), product1( 'e_4', 'e_3', 'e_2' ), product1( 'e_4', 'e_3', 'e_3' )
% 0.43/1.10 ] )
% 0.43/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 subsumption(
% 0.43/1.10 clause( 411, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3',
% 0.43/1.10 'e_2' ), product1( 'e_4', 'e_3', 'e_3' ) ] )
% 0.43/1.10 , clause( 1032, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3',
% 0.43/1.10 'e_2' ), product1( 'e_4', 'e_3', 'e_3' ) ] )
% 0.43/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.43/1.10 , 2 )] ) ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1033, [ equalish( 'e_4', 'e_3' ), product1( 'e_4', 'e_3', 'e_1' ),
% 0.43/1.10 product1( 'e_4', 'e_3', 'e_2' ) ] )
% 0.43/1.10 , clause( 120, [ equalish( X, Y ), ~( product1( X, Y, Y ) ) ] )
% 0.43/1.10 , 1, clause( 411, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3'
% 0.43/1.10 , 'e_2' ), product1( 'e_4', 'e_3', 'e_3' ) ] )
% 0.43/1.10 , 2, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_3' )] ), substitution( 1
% 0.43/1.10 , [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1034, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3',
% 0.43/1.10 'e_2' ) ] )
% 0.43/1.10 , clause( 36, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.43/1.10 , 0, clause( 1033, [ equalish( 'e_4', 'e_3' ), product1( 'e_4', 'e_3',
% 0.43/1.10 'e_1' ), product1( 'e_4', 'e_3', 'e_2' ) ] )
% 0.43/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 subsumption(
% 0.43/1.10 clause( 415, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3',
% 0.43/1.10 'e_2' ) ] )
% 0.43/1.10 , clause( 1034, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3',
% 0.43/1.10 'e_2' ) ] )
% 0.43/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.43/1.10 ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1038, [ ~( product1( 'e_3', X, 'e_4' ) ), product2( 'e_2', X, 'e_3'
% 0.43/1.10 ), product1( 'e_4', 'e_3', 'e_1' ) ] )
% 0.43/1.10 , clause( 47, [ ~( product1( X, Y, Z ) ), product2( T, Y, X ), ~( product1(
% 0.43/1.10 Z, X, T ) ) ] )
% 0.43/1.10 , 2, clause( 415, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3'
% 0.43/1.10 , 'e_2' ) ] )
% 0.43/1.10 , 1, substitution( 0, [ :=( X, 'e_3' ), :=( Y, X ), :=( Z, 'e_4' ), :=( T,
% 0.43/1.10 'e_2' )] ), substitution( 1, [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 subsumption(
% 0.43/1.10 clause( 416, [ product1( 'e_4', 'e_3', 'e_1' ), product2( 'e_2', X, 'e_3' )
% 0.43/1.10 , ~( product1( 'e_3', X, 'e_4' ) ) ] )
% 0.43/1.10 , clause( 1038, [ ~( product1( 'e_3', X, 'e_4' ) ), product2( 'e_2', X,
% 0.43/1.10 'e_3' ), product1( 'e_4', 'e_3', 'e_1' ) ] )
% 0.43/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.43/1.10 1 ), ==>( 2, 0 )] ) ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1039, [ equalish( 'e_1', 'e_4' ), product1( 'e_1', 'e_4', 'e_1' ),
% 0.43/1.10 product1( 'e_1', 'e_4', 'e_2' ), product1( 'e_1', 'e_4', 'e_3' ) ] )
% 0.43/1.10 , clause( 120, [ equalish( X, Y ), ~( product1( X, Y, Y ) ) ] )
% 0.43/1.10 , 1, clause( 294, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4'
% 0.43/1.10 , 'e_2' ), product1( 'e_1', 'e_4', 'e_3' ), product1( 'e_1', 'e_4', 'e_4'
% 0.43/1.10 ) ] )
% 0.43/1.10 , 3, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_4' )] ), substitution( 1
% 0.43/1.10 , [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1040, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4',
% 0.43/1.10 'e_2' ), product1( 'e_1', 'e_4', 'e_3' ) ] )
% 0.43/1.10 , clause( 27, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.43/1.10 , 0, clause( 1039, [ equalish( 'e_1', 'e_4' ), product1( 'e_1', 'e_4',
% 0.43/1.10 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ), product1( 'e_1', 'e_4', 'e_3' )
% 0.43/1.10 ] )
% 0.43/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 subsumption(
% 0.43/1.10 clause( 422, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4',
% 0.43/1.10 'e_2' ), product1( 'e_1', 'e_4', 'e_3' ) ] )
% 0.43/1.10 , clause( 1040, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4',
% 0.43/1.10 'e_2' ), product1( 'e_1', 'e_4', 'e_3' ) ] )
% 0.43/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.43/1.10 , 2 )] ) ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1046, [ ~( product1( 'e_4', X, 'e_1' ) ), product2( 'e_3', X, 'e_4'
% 0.43/1.10 ), product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 0.43/1.10 , clause( 47, [ ~( product1( X, Y, Z ) ), product2( T, Y, X ), ~( product1(
% 0.43/1.10 Z, X, T ) ) ] )
% 0.43/1.10 , 2, clause( 422, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4'
% 0.43/1.10 , 'e_2' ), product1( 'e_1', 'e_4', 'e_3' ) ] )
% 0.43/1.10 , 2, substitution( 0, [ :=( X, 'e_4' ), :=( Y, X ), :=( Z, 'e_1' ), :=( T,
% 0.43/1.10 'e_3' )] ), substitution( 1, [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 subsumption(
% 0.43/1.10 clause( 423, [ product1( 'e_1', 'e_4', 'e_1' ), product2( 'e_3', X, 'e_4' )
% 0.43/1.10 , product1( 'e_1', 'e_4', 'e_2' ), ~( product1( 'e_4', X, 'e_1' ) ) ] )
% 0.43/1.10 , clause( 1046, [ ~( product1( 'e_4', X, 'e_1' ) ), product2( 'e_3', X,
% 0.43/1.10 'e_4' ), product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4', 'e_2' )
% 0.43/1.10 ] )
% 0.43/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 0.43/1.10 1 ), ==>( 2, 0 ), ==>( 3, 2 )] ) ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1047, [ product1( 'e_4', 'e_3', 'e_1' ), product2( 'e_2', 'e_2',
% 0.43/1.10 'e_3' ), product1( 'e_3', 'e_2', 'e_1' ), product1( 'e_3', 'e_2', 'e_2' )
% 0.43/1.10 , product1( 'e_3', 'e_2', 'e_3' ) ] )
% 0.43/1.10 , clause( 416, [ product1( 'e_4', 'e_3', 'e_1' ), product2( 'e_2', X, 'e_3'
% 0.43/1.10 ), ~( product1( 'e_3', X, 'e_4' ) ) ] )
% 0.43/1.10 , 2, clause( 283, [ product1( 'e_3', 'e_2', 'e_1' ), product1( 'e_3', 'e_2'
% 0.43/1.10 , 'e_2' ), product1( 'e_3', 'e_2', 'e_3' ), product1( 'e_3', 'e_2', 'e_4'
% 0.43/1.10 ) ] )
% 0.43/1.10 , 3, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 subsumption(
% 0.43/1.10 clause( 431, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_3', 'e_2',
% 0.43/1.10 'e_1' ), product1( 'e_3', 'e_2', 'e_2' ), product1( 'e_3', 'e_2', 'e_3' )
% 0.43/1.10 , product2( 'e_2', 'e_2', 'e_3' ) ] )
% 0.43/1.10 , clause( 1047, [ product1( 'e_4', 'e_3', 'e_1' ), product2( 'e_2', 'e_2',
% 0.43/1.10 'e_3' ), product1( 'e_3', 'e_2', 'e_1' ), product1( 'e_3', 'e_2', 'e_2' )
% 0.43/1.10 , product1( 'e_3', 'e_2', 'e_3' ) ] )
% 0.43/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 4 ), ==>( 2
% 0.43/1.10 , 1 ), ==>( 3, 2 ), ==>( 4, 3 )] ) ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1048, [ equalish( 'e_2', 'e_4' ), product1( 'e_2', 'e_4', 'e_1' ),
% 0.43/1.10 product1( 'e_2', 'e_4', 'e_2' ), product1( 'e_2', 'e_4', 'e_3' ) ] )
% 0.43/1.10 , clause( 120, [ equalish( X, Y ), ~( product1( X, Y, Y ) ) ] )
% 0.43/1.10 , 1, clause( 295, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4'
% 0.43/1.10 , 'e_2' ), product1( 'e_2', 'e_4', 'e_3' ), product1( 'e_2', 'e_4', 'e_4'
% 0.43/1.10 ) ] )
% 0.43/1.10 , 3, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_4' )] ), substitution( 1
% 0.43/1.10 , [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1049, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.43/1.10 'e_2' ), product1( 'e_2', 'e_4', 'e_3' ) ] )
% 0.43/1.10 , clause( 30, [ ~( equalish( 'e_2', 'e_4' ) ) ] )
% 0.43/1.10 , 0, clause( 1048, [ equalish( 'e_2', 'e_4' ), product1( 'e_2', 'e_4',
% 0.43/1.10 'e_1' ), product1( 'e_2', 'e_4', 'e_2' ), product1( 'e_2', 'e_4', 'e_3' )
% 0.43/1.10 ] )
% 0.43/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 subsumption(
% 0.43/1.10 clause( 434, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.43/1.10 'e_2' ), product1( 'e_2', 'e_4', 'e_3' ) ] )
% 0.43/1.10 , clause( 1049, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.43/1.10 'e_2' ), product1( 'e_2', 'e_4', 'e_3' ) ] )
% 0.43/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.43/1.10 , 2 )] ) ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1055, [ ~( product1( 'e_4', X, 'e_2' ) ), product2( 'e_3', X, 'e_4'
% 0.43/1.10 ), product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4', 'e_2' ) ] )
% 0.43/1.10 , clause( 47, [ ~( product1( X, Y, Z ) ), product2( T, Y, X ), ~( product1(
% 0.43/1.10 Z, X, T ) ) ] )
% 0.43/1.10 , 2, clause( 434, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4'
% 0.43/1.10 , 'e_2' ), product1( 'e_2', 'e_4', 'e_3' ) ] )
% 0.43/1.10 , 2, substitution( 0, [ :=( X, 'e_4' ), :=( Y, X ), :=( Z, 'e_2' ), :=( T,
% 0.43/1.10 'e_3' )] ), substitution( 1, [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 subsumption(
% 0.43/1.10 clause( 435, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.43/1.10 'e_2' ), product2( 'e_3', X, 'e_4' ), ~( product1( 'e_4', X, 'e_2' ) ) ]
% 0.43/1.10 )
% 0.43/1.10 , clause( 1055, [ ~( product1( 'e_4', X, 'e_2' ) ), product2( 'e_3', X,
% 0.43/1.10 'e_4' ), product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4', 'e_2' )
% 0.43/1.10 ] )
% 0.43/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 0.43/1.10 2 ), ==>( 2, 0 ), ==>( 3, 1 )] ) ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1056, [ equalish( 'e_3', 'e_4' ), product1( 'e_3', 'e_4', 'e_1' ),
% 0.43/1.10 product1( 'e_3', 'e_4', 'e_2' ), product1( 'e_3', 'e_4', 'e_3' ) ] )
% 0.43/1.10 , clause( 120, [ equalish( X, Y ), ~( product1( X, Y, Y ) ) ] )
% 0.43/1.10 , 1, clause( 296, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4'
% 0.43/1.10 , 'e_2' ), product1( 'e_3', 'e_4', 'e_3' ), product1( 'e_3', 'e_4', 'e_4'
% 0.43/1.10 ) ] )
% 0.43/1.10 , 3, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_4' )] ), substitution( 1
% 0.43/1.10 , [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1057, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4',
% 0.43/1.10 'e_2' ), product1( 'e_3', 'e_4', 'e_3' ) ] )
% 0.43/1.10 , clause( 33, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.43/1.10 , 0, clause( 1056, [ equalish( 'e_3', 'e_4' ), product1( 'e_3', 'e_4',
% 0.43/1.10 'e_1' ), product1( 'e_3', 'e_4', 'e_2' ), product1( 'e_3', 'e_4', 'e_3' )
% 0.43/1.10 ] )
% 0.43/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 subsumption(
% 0.43/1.10 clause( 442, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4',
% 0.43/1.10 'e_2' ), product1( 'e_3', 'e_4', 'e_3' ) ] )
% 0.43/1.10 , clause( 1057, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4',
% 0.43/1.10 'e_2' ), product1( 'e_3', 'e_4', 'e_3' ) ] )
% 0.43/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.43/1.10 , 2 )] ) ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1058, [ equalish( 'e_4', 'e_3' ), product1( 'e_3', 'e_4', 'e_1' ),
% 0.43/1.10 product1( 'e_3', 'e_4', 'e_2' ) ] )
% 0.43/1.10 , clause( 118, [ equalish( X, Y ), ~( product1( Y, X, Y ) ) ] )
% 0.43/1.10 , 1, clause( 442, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4'
% 0.43/1.10 , 'e_2' ), product1( 'e_3', 'e_4', 'e_3' ) ] )
% 0.43/1.10 , 2, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_3' )] ), substitution( 1
% 0.43/1.10 , [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1059, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4',
% 0.43/1.10 'e_2' ) ] )
% 0.43/1.10 , clause( 36, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.43/1.10 , 0, clause( 1058, [ equalish( 'e_4', 'e_3' ), product1( 'e_3', 'e_4',
% 0.43/1.10 'e_1' ), product1( 'e_3', 'e_4', 'e_2' ) ] )
% 0.43/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 subsumption(
% 0.43/1.10 clause( 447, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4',
% 0.43/1.10 'e_2' ) ] )
% 0.43/1.10 , clause( 1059, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4',
% 0.43/1.10 'e_2' ) ] )
% 0.43/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.43/1.10 ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1063, [ ~( product1( 'e_4', X, 'e_3' ) ), product2( 'e_2', X, 'e_4'
% 0.43/1.10 ), product1( 'e_3', 'e_4', 'e_1' ) ] )
% 0.43/1.10 , clause( 47, [ ~( product1( X, Y, Z ) ), product2( T, Y, X ), ~( product1(
% 0.43/1.10 Z, X, T ) ) ] )
% 0.43/1.10 , 2, clause( 447, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_3', 'e_4'
% 0.43/1.10 , 'e_2' ) ] )
% 0.43/1.10 , 1, substitution( 0, [ :=( X, 'e_4' ), :=( Y, X ), :=( Z, 'e_3' ), :=( T,
% 0.43/1.10 'e_2' )] ), substitution( 1, [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 subsumption(
% 0.43/1.10 clause( 448, [ product1( 'e_3', 'e_4', 'e_1' ), product2( 'e_2', X, 'e_4' )
% 0.43/1.10 , ~( product1( 'e_4', X, 'e_3' ) ) ] )
% 0.43/1.10 , clause( 1063, [ ~( product1( 'e_4', X, 'e_3' ) ), product2( 'e_2', X,
% 0.43/1.10 'e_4' ), product1( 'e_3', 'e_4', 'e_1' ) ] )
% 0.43/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.43/1.10 1 ), ==>( 2, 0 )] ) ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1064, [ product1( 'e_3', 'e_4', 'e_1' ), product2( 'e_2', 'e_2',
% 0.43/1.10 'e_4' ), product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_2', 'e_2' )
% 0.43/1.10 ] )
% 0.43/1.10 , clause( 448, [ product1( 'e_3', 'e_4', 'e_1' ), product2( 'e_2', X, 'e_4'
% 0.43/1.10 ), ~( product1( 'e_4', X, 'e_3' ) ) ] )
% 0.43/1.10 , 2, clause( 384, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_2'
% 0.43/1.10 , 'e_2' ), product1( 'e_4', 'e_2', 'e_3' ) ] )
% 0.43/1.10 , 2, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 subsumption(
% 0.43/1.10 clause( 455, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_4', 'e_2',
% 0.43/1.10 'e_1' ), product1( 'e_4', 'e_2', 'e_2' ), product2( 'e_2', 'e_2', 'e_4' )
% 0.43/1.10 ] )
% 0.43/1.10 , clause( 1064, [ product1( 'e_3', 'e_4', 'e_1' ), product2( 'e_2', 'e_2',
% 0.43/1.10 'e_4' ), product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_2', 'e_2' )
% 0.43/1.10 ] )
% 0.43/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 3 ), ==>( 2
% 0.43/1.10 , 1 ), ==>( 3, 2 )] ) ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1065, [ equalish( 'e_4', 'e_2' ), product1( 'e_3', 'e_4', 'e_1' ),
% 0.43/1.10 product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_2', 'e_2' ) ] )
% 0.43/1.10 , clause( 127, [ equalish( X, Y ), ~( product2( Y, Y, X ) ) ] )
% 0.43/1.10 , 1, clause( 455, [ product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_4', 'e_2'
% 0.43/1.10 , 'e_1' ), product1( 'e_4', 'e_2', 'e_2' ), product2( 'e_2', 'e_2', 'e_4'
% 0.43/1.10 ) ] )
% 0.43/1.10 , 3, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_2' )] ), substitution( 1
% 0.43/1.10 , [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1066, [ equalish( 'e_4', 'e_2' ), equalish( 'e_4', 'e_2' ),
% 0.43/1.10 product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.43/1.10 , clause( 120, [ equalish( X, Y ), ~( product1( X, Y, Y ) ) ] )
% 0.43/1.10 , 1, clause( 1065, [ equalish( 'e_4', 'e_2' ), product1( 'e_3', 'e_4',
% 0.43/1.10 'e_1' ), product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_2', 'e_2' )
% 0.43/1.10 ] )
% 0.43/1.10 , 3, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_2' )] ), substitution( 1
% 0.43/1.10 , [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 factor(
% 0.43/1.10 clause( 1067, [ equalish( 'e_4', 'e_2' ), product1( 'e_3', 'e_4', 'e_1' ),
% 0.43/1.10 product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.43/1.10 , clause( 1066, [ equalish( 'e_4', 'e_2' ), equalish( 'e_4', 'e_2' ),
% 0.43/1.10 product1( 'e_3', 'e_4', 'e_1' ), product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.43/1.10 , 0, 1, substitution( 0, [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 subsumption(
% 0.43/1.10 clause( 473, [ product1( 'e_4', 'e_2', 'e_1' ), equalish( 'e_4', 'e_2' ),
% 0.43/1.10 product1( 'e_3', 'e_4', 'e_1' ) ] )
% 0.43/1.10 , clause( 1067, [ equalish( 'e_4', 'e_2' ), product1( 'e_3', 'e_4', 'e_1' )
% 0.43/1.10 , product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.43/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2
% 0.43/1.10 , 0 )] ) ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1068, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_3', 'e_4',
% 0.43/1.10 'e_1' ) ] )
% 0.43/1.10 , clause( 35, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.43/1.10 , 0, clause( 473, [ product1( 'e_4', 'e_2', 'e_1' ), equalish( 'e_4', 'e_2'
% 0.43/1.10 ), product1( 'e_3', 'e_4', 'e_1' ) ] )
% 0.43/1.10 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 subsumption(
% 0.43/1.10 clause( 475, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_3', 'e_4',
% 0.43/1.10 'e_1' ) ] )
% 0.43/1.10 , clause( 1068, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_3', 'e_4',
% 0.43/1.10 'e_1' ) ] )
% 0.43/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.43/1.10 ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1072, [ equalish( X, 'e_3' ), ~( product1( X, 'e_4', 'e_1' ) ),
% 0.43/1.10 product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.43/1.10 , clause( 40, [ equalish( X, T ), ~( product1( X, Y, Z ) ), ~( product1( T
% 0.43/1.10 , Y, Z ) ) ] )
% 0.43/1.10 , 2, clause( 475, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_3', 'e_4'
% 0.43/1.10 , 'e_1' ) ] )
% 0.43/1.10 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'e_4' ), :=( Z, 'e_1' ), :=( T,
% 0.43/1.10 'e_3' )] ), substitution( 1, [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 subsumption(
% 0.43/1.10 clause( 477, [ equalish( X, 'e_3' ), product1( 'e_4', 'e_2', 'e_1' ), ~(
% 0.43/1.10 product1( X, 'e_4', 'e_1' ) ) ] )
% 0.43/1.10 , clause( 1072, [ equalish( X, 'e_3' ), ~( product1( X, 'e_4', 'e_1' ) ),
% 0.43/1.10 product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.43/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.43/1.10 2 ), ==>( 2, 1 )] ) ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1073, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.43/1.10 'e_2' ), product2( 'e_3', 'e_3', 'e_4' ), product1( 'e_4', 'e_3', 'e_1' )
% 0.43/1.10 ] )
% 0.43/1.10 , clause( 435, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.43/1.10 'e_2' ), product2( 'e_3', X, 'e_4' ), ~( product1( 'e_4', X, 'e_2' ) ) ]
% 0.43/1.10 )
% 0.43/1.10 , 3, clause( 415, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_4', 'e_3'
% 0.43/1.10 , 'e_2' ) ] )
% 0.43/1.10 , 1, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 subsumption(
% 0.43/1.10 clause( 525, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.43/1.10 'e_2' ), product1( 'e_4', 'e_3', 'e_1' ), product2( 'e_3', 'e_3', 'e_4' )
% 0.43/1.10 ] )
% 0.43/1.10 , clause( 1073, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.43/1.10 'e_2' ), product2( 'e_3', 'e_3', 'e_4' ), product1( 'e_4', 'e_3', 'e_1' )
% 0.43/1.10 ] )
% 0.43/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.43/1.10 , 3 ), ==>( 3, 2 )] ) ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1074, [ equalish( 'e_4', 'e_3' ), product1( 'e_2', 'e_4', 'e_1' ),
% 0.43/1.10 product1( 'e_2', 'e_4', 'e_2' ), product1( 'e_4', 'e_3', 'e_1' ) ] )
% 0.43/1.10 , clause( 127, [ equalish( X, Y ), ~( product2( Y, Y, X ) ) ] )
% 0.43/1.10 , 1, clause( 525, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4'
% 0.43/1.10 , 'e_2' ), product1( 'e_4', 'e_3', 'e_1' ), product2( 'e_3', 'e_3', 'e_4'
% 0.43/1.10 ) ] )
% 0.43/1.10 , 3, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_3' )] ), substitution( 1
% 0.43/1.10 , [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1075, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.43/1.10 'e_2' ), product1( 'e_4', 'e_3', 'e_1' ) ] )
% 0.43/1.10 , clause( 36, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.43/1.10 , 0, clause( 1074, [ equalish( 'e_4', 'e_3' ), product1( 'e_2', 'e_4',
% 0.43/1.10 'e_1' ), product1( 'e_2', 'e_4', 'e_2' ), product1( 'e_4', 'e_3', 'e_1' )
% 0.43/1.10 ] )
% 0.43/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 subsumption(
% 0.43/1.10 clause( 529, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_4', 'e_3',
% 0.43/1.10 'e_1' ), product1( 'e_2', 'e_4', 'e_2' ) ] )
% 0.43/1.10 , clause( 1075, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_2', 'e_4',
% 0.43/1.10 'e_2' ), product1( 'e_4', 'e_3', 'e_1' ) ] )
% 0.43/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2
% 0.43/1.10 , 1 )] ) ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1076, [ equalish( 'e_4', 'e_2' ), product1( 'e_2', 'e_4', 'e_1' ),
% 0.43/1.10 product1( 'e_4', 'e_3', 'e_1' ) ] )
% 0.43/1.10 , clause( 118, [ equalish( X, Y ), ~( product1( Y, X, Y ) ) ] )
% 0.43/1.10 , 1, clause( 529, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_4', 'e_3'
% 0.43/1.10 , 'e_1' ), product1( 'e_2', 'e_4', 'e_2' ) ] )
% 0.43/1.10 , 2, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_2' )] ), substitution( 1
% 0.43/1.10 , [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1077, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_4', 'e_3',
% 0.43/1.10 'e_1' ) ] )
% 0.43/1.10 , clause( 35, [ ~( equalish( 'e_4', 'e_2' ) ) ] )
% 0.43/1.10 , 0, clause( 1076, [ equalish( 'e_4', 'e_2' ), product1( 'e_2', 'e_4',
% 0.43/1.10 'e_1' ), product1( 'e_4', 'e_3', 'e_1' ) ] )
% 0.43/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 subsumption(
% 0.43/1.10 clause( 535, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_2', 'e_4',
% 0.43/1.10 'e_1' ) ] )
% 0.43/1.10 , clause( 1077, [ product1( 'e_2', 'e_4', 'e_1' ), product1( 'e_4', 'e_3',
% 0.43/1.10 'e_1' ) ] )
% 0.43/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.43/1.10 ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1078, [ equalish( 'e_2', 'e_3' ), product1( 'e_4', 'e_2', 'e_1' ),
% 0.43/1.10 product1( 'e_4', 'e_3', 'e_1' ) ] )
% 0.43/1.10 , clause( 477, [ equalish( X, 'e_3' ), product1( 'e_4', 'e_2', 'e_1' ), ~(
% 0.43/1.10 product1( X, 'e_4', 'e_1' ) ) ] )
% 0.43/1.10 , 2, clause( 535, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_2', 'e_4'
% 0.43/1.10 , 'e_1' ) ] )
% 0.43/1.10 , 1, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1079, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_3',
% 0.43/1.10 'e_1' ) ] )
% 0.43/1.10 , clause( 29, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.43/1.10 , 0, clause( 1078, [ equalish( 'e_2', 'e_3' ), product1( 'e_4', 'e_2',
% 0.43/1.10 'e_1' ), product1( 'e_4', 'e_3', 'e_1' ) ] )
% 0.43/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 subsumption(
% 0.43/1.10 clause( 536, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_3',
% 0.43/1.10 'e_1' ) ] )
% 0.43/1.10 , clause( 1079, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_3',
% 0.43/1.10 'e_1' ) ] )
% 0.43/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.43/1.10 ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1083, [ equalish( X, 'e_4' ), ~( product1( X, 'e_3', 'e_1' ) ),
% 0.43/1.10 product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.43/1.10 , clause( 40, [ equalish( X, T ), ~( product1( X, Y, Z ) ), ~( product1( T
% 0.43/1.10 , Y, Z ) ) ] )
% 0.43/1.10 , 2, clause( 536, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_3'
% 0.43/1.10 , 'e_1' ) ] )
% 0.43/1.10 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'e_3' ), :=( Z, 'e_1' ), :=( T,
% 0.43/1.10 'e_4' )] ), substitution( 1, [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 subsumption(
% 0.43/1.10 clause( 543, [ equalish( X, 'e_4' ), product1( 'e_4', 'e_2', 'e_1' ), ~(
% 0.43/1.10 product1( X, 'e_3', 'e_1' ) ) ] )
% 0.43/1.10 , clause( 1083, [ equalish( X, 'e_4' ), ~( product1( X, 'e_3', 'e_1' ) ),
% 0.43/1.10 product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.43/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.43/1.10 2 ), ==>( 2, 1 )] ) ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1085, [ product1( 'e_1', 'e_4', 'e_1' ), product2( 'e_3', 'e_3',
% 0.43/1.10 'e_4' ), product1( 'e_1', 'e_4', 'e_2' ), product1( 'e_4', 'e_2', 'e_1' )
% 0.43/1.10 ] )
% 0.43/1.10 , clause( 423, [ product1( 'e_1', 'e_4', 'e_1' ), product2( 'e_3', X, 'e_4'
% 0.43/1.10 ), product1( 'e_1', 'e_4', 'e_2' ), ~( product1( 'e_4', X, 'e_1' ) ) ]
% 0.43/1.10 )
% 0.43/1.10 , 3, clause( 536, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_3'
% 0.43/1.10 , 'e_1' ) ] )
% 0.43/1.10 , 1, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 subsumption(
% 0.43/1.10 clause( 580, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4',
% 0.43/1.10 'e_2' ), product1( 'e_4', 'e_2', 'e_1' ), product2( 'e_3', 'e_3', 'e_4' )
% 0.43/1.10 ] )
% 0.43/1.10 , clause( 1085, [ product1( 'e_1', 'e_4', 'e_1' ), product2( 'e_3', 'e_3',
% 0.43/1.10 'e_4' ), product1( 'e_1', 'e_4', 'e_2' ), product1( 'e_4', 'e_2', 'e_1' )
% 0.43/1.10 ] )
% 0.43/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 3 ), ==>( 2
% 0.43/1.10 , 1 ), ==>( 3, 2 )] ) ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1086, [ equalish( 'e_4', 'e_3' ), product1( 'e_1', 'e_4', 'e_1' ),
% 0.43/1.10 product1( 'e_1', 'e_4', 'e_2' ), product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.43/1.10 , clause( 127, [ equalish( X, Y ), ~( product2( Y, Y, X ) ) ] )
% 0.43/1.10 , 1, clause( 580, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4'
% 0.43/1.10 , 'e_2' ), product1( 'e_4', 'e_2', 'e_1' ), product2( 'e_3', 'e_3', 'e_4'
% 0.43/1.10 ) ] )
% 0.43/1.10 , 3, substitution( 0, [ :=( X, 'e_4' ), :=( Y, 'e_3' )] ), substitution( 1
% 0.43/1.10 , [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1087, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4',
% 0.43/1.10 'e_2' ), product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.43/1.10 , clause( 36, [ ~( equalish( 'e_4', 'e_3' ) ) ] )
% 0.43/1.10 , 0, clause( 1086, [ equalish( 'e_4', 'e_3' ), product1( 'e_1', 'e_4',
% 0.43/1.10 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ), product1( 'e_4', 'e_2', 'e_1' )
% 0.43/1.10 ] )
% 0.43/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 subsumption(
% 0.43/1.10 clause( 583, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_4', 'e_2',
% 0.43/1.10 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 0.43/1.10 , clause( 1087, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_4',
% 0.43/1.10 'e_2' ), product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.43/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2
% 0.43/1.10 , 1 )] ) ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1093, [ equalish( X, 'e_4' ), ~( product1( 'e_1', X, 'e_2' ) ),
% 0.43/1.10 product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.43/1.10 , clause( 39, [ equalish( Y, T ), ~( product1( X, Y, Z ) ), ~( product1( X
% 0.43/1.10 , T, Z ) ) ] )
% 0.43/1.10 , 2, clause( 583, [ product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_4', 'e_2'
% 0.43/1.10 , 'e_1' ), product1( 'e_1', 'e_4', 'e_2' ) ] )
% 0.43/1.10 , 2, substitution( 0, [ :=( X, 'e_1' ), :=( Y, X ), :=( Z, 'e_2' ), :=( T,
% 0.43/1.10 'e_4' )] ), substitution( 1, [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 subsumption(
% 0.43/1.10 clause( 587, [ product1( 'e_4', 'e_2', 'e_1' ), equalish( X, 'e_4' ),
% 0.43/1.10 product1( 'e_1', 'e_4', 'e_1' ), ~( product1( 'e_1', X, 'e_2' ) ) ] )
% 0.43/1.10 , clause( 1093, [ equalish( X, 'e_4' ), ~( product1( 'e_1', X, 'e_2' ) ),
% 0.43/1.10 product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.43/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.43/1.10 3 ), ==>( 2, 2 ), ==>( 3, 0 )] ) ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1094, [ product1( 'e_1', 'e_3', 'e_1' ), product1( 'e_1', 'e_3',
% 0.43/1.10 'e_2' ), product2( 'e_4', 'e_4', 'e_3' ), product1( 'e_1', 'e_3', 'e_3' )
% 0.43/1.10 , product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.43/1.10 , clause( 394, [ product1( 'e_1', 'e_3', 'e_1' ), product1( 'e_1', 'e_3',
% 0.43/1.10 'e_2' ), product2( 'e_4', X, 'e_3' ), product1( 'e_1', 'e_3', 'e_3' ),
% 0.43/1.10 ~( product1( 'e_3', X, 'e_1' ) ) ] )
% 0.43/1.10 , 4, clause( 475, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_3', 'e_4'
% 0.43/1.10 , 'e_1' ) ] )
% 0.43/1.10 , 1, substitution( 0, [ :=( X, 'e_4' )] ), substitution( 1, [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 subsumption(
% 0.43/1.10 clause( 609, [ product1( 'e_1', 'e_3', 'e_1' ), product1( 'e_1', 'e_3',
% 0.43/1.10 'e_2' ), product1( 'e_1', 'e_3', 'e_3' ), product1( 'e_4', 'e_2', 'e_1' )
% 0.43/1.10 , product2( 'e_4', 'e_4', 'e_3' ) ] )
% 0.43/1.10 , clause( 1094, [ product1( 'e_1', 'e_3', 'e_1' ), product1( 'e_1', 'e_3',
% 0.43/1.10 'e_2' ), product2( 'e_4', 'e_4', 'e_3' ), product1( 'e_1', 'e_3', 'e_3' )
% 0.43/1.10 , product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.43/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.43/1.10 , 4 ), ==>( 3, 2 ), ==>( 4, 3 )] ) ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1095, [ equalish( 'e_3', 'e_4' ), product1( 'e_1', 'e_3', 'e_1' ),
% 0.43/1.10 product1( 'e_1', 'e_3', 'e_2' ), product1( 'e_1', 'e_3', 'e_3' ),
% 0.43/1.10 product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.43/1.10 , clause( 127, [ equalish( X, Y ), ~( product2( Y, Y, X ) ) ] )
% 0.43/1.10 , 1, clause( 609, [ product1( 'e_1', 'e_3', 'e_1' ), product1( 'e_1', 'e_3'
% 0.43/1.10 , 'e_2' ), product1( 'e_1', 'e_3', 'e_3' ), product1( 'e_4', 'e_2', 'e_1'
% 0.43/1.10 ), product2( 'e_4', 'e_4', 'e_3' ) ] )
% 0.43/1.10 , 4, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_4' )] ), substitution( 1
% 0.43/1.10 , [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1096, [ product1( 'e_1', 'e_3', 'e_1' ), product1( 'e_1', 'e_3',
% 0.43/1.10 'e_2' ), product1( 'e_1', 'e_3', 'e_3' ), product1( 'e_4', 'e_2', 'e_1' )
% 0.43/1.10 ] )
% 0.43/1.10 , clause( 33, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.43/1.10 , 0, clause( 1095, [ equalish( 'e_3', 'e_4' ), product1( 'e_1', 'e_3',
% 0.43/1.10 'e_1' ), product1( 'e_1', 'e_3', 'e_2' ), product1( 'e_1', 'e_3', 'e_3' )
% 0.43/1.10 , product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.43/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 subsumption(
% 0.43/1.10 clause( 617, [ product1( 'e_1', 'e_3', 'e_1' ), product1( 'e_1', 'e_3',
% 0.43/1.10 'e_2' ), product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_1', 'e_3', 'e_3' )
% 0.43/1.10 ] )
% 0.43/1.10 , clause( 1096, [ product1( 'e_1', 'e_3', 'e_1' ), product1( 'e_1', 'e_3',
% 0.43/1.10 'e_2' ), product1( 'e_1', 'e_3', 'e_3' ), product1( 'e_4', 'e_2', 'e_1' )
% 0.43/1.10 ] )
% 0.43/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.43/1.10 , 3 ), ==>( 3, 2 )] ) ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1097, [ equalish( 'e_1', 'e_3' ), product1( 'e_1', 'e_3', 'e_1' ),
% 0.43/1.10 product1( 'e_1', 'e_3', 'e_2' ), product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.43/1.10 , clause( 120, [ equalish( X, Y ), ~( product1( X, Y, Y ) ) ] )
% 0.43/1.10 , 1, clause( 617, [ product1( 'e_1', 'e_3', 'e_1' ), product1( 'e_1', 'e_3'
% 0.43/1.10 , 'e_2' ), product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_1', 'e_3', 'e_3'
% 0.43/1.10 ) ] )
% 0.43/1.10 , 3, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_3' )] ), substitution( 1
% 0.43/1.10 , [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1098, [ product1( 'e_1', 'e_3', 'e_1' ), product1( 'e_1', 'e_3',
% 0.43/1.10 'e_2' ), product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.43/1.10 , clause( 26, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.43/1.10 , 0, clause( 1097, [ equalish( 'e_1', 'e_3' ), product1( 'e_1', 'e_3',
% 0.43/1.10 'e_1' ), product1( 'e_1', 'e_3', 'e_2' ), product1( 'e_4', 'e_2', 'e_1' )
% 0.43/1.10 ] )
% 0.43/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 subsumption(
% 0.43/1.10 clause( 620, [ product1( 'e_1', 'e_3', 'e_1' ), product1( 'e_4', 'e_2',
% 0.43/1.10 'e_1' ), product1( 'e_1', 'e_3', 'e_2' ) ] )
% 0.43/1.10 , clause( 1098, [ product1( 'e_1', 'e_3', 'e_1' ), product1( 'e_1', 'e_3',
% 0.43/1.10 'e_2' ), product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.43/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2
% 0.43/1.10 , 1 )] ) ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1099, [ product1( 'e_4', 'e_2', 'e_1' ), equalish( 'e_3', 'e_4' ),
% 0.43/1.10 product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_3', 'e_1' ),
% 0.43/1.10 product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.43/1.10 , clause( 587, [ product1( 'e_4', 'e_2', 'e_1' ), equalish( X, 'e_4' ),
% 0.43/1.10 product1( 'e_1', 'e_4', 'e_1' ), ~( product1( 'e_1', X, 'e_2' ) ) ] )
% 0.43/1.10 , 3, clause( 620, [ product1( 'e_1', 'e_3', 'e_1' ), product1( 'e_4', 'e_2'
% 0.43/1.10 , 'e_1' ), product1( 'e_1', 'e_3', 'e_2' ) ] )
% 0.43/1.10 , 2, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1101, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_1', 'e_4',
% 0.43/1.10 'e_1' ), product1( 'e_1', 'e_3', 'e_1' ), product1( 'e_4', 'e_2', 'e_1' )
% 0.43/1.10 ] )
% 0.43/1.10 , clause( 33, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.43/1.10 , 0, clause( 1099, [ product1( 'e_4', 'e_2', 'e_1' ), equalish( 'e_3',
% 0.43/1.10 'e_4' ), product1( 'e_1', 'e_4', 'e_1' ), product1( 'e_1', 'e_3', 'e_1' )
% 0.43/1.10 , product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.43/1.10 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 factor(
% 0.43/1.10 clause( 1102, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_1', 'e_4',
% 0.43/1.10 'e_1' ), product1( 'e_1', 'e_3', 'e_1' ) ] )
% 0.43/1.10 , clause( 1101, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_1', 'e_4',
% 0.43/1.10 'e_1' ), product1( 'e_1', 'e_3', 'e_1' ), product1( 'e_4', 'e_2', 'e_1' )
% 0.43/1.10 ] )
% 0.43/1.10 , 0, 3, substitution( 0, [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 subsumption(
% 0.43/1.10 clause( 621, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_1', 'e_3',
% 0.43/1.10 'e_1' ), product1( 'e_1', 'e_4', 'e_1' ) ] )
% 0.43/1.10 , clause( 1102, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_1', 'e_4',
% 0.43/1.10 'e_1' ), product1( 'e_1', 'e_3', 'e_1' ) ] )
% 0.43/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2
% 0.43/1.10 , 1 )] ) ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1103, [ equalish( 'e_1', 'e_3' ), product1( 'e_4', 'e_2', 'e_1' ),
% 0.43/1.10 product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_1', 'e_3', 'e_1' ) ] )
% 0.43/1.10 , clause( 477, [ equalish( X, 'e_3' ), product1( 'e_4', 'e_2', 'e_1' ), ~(
% 0.43/1.10 product1( X, 'e_4', 'e_1' ) ) ] )
% 0.43/1.10 , 2, clause( 621, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_1', 'e_3'
% 0.43/1.10 , 'e_1' ), product1( 'e_1', 'e_4', 'e_1' ) ] )
% 0.43/1.10 , 2, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1105, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_2',
% 0.43/1.10 'e_1' ), product1( 'e_1', 'e_3', 'e_1' ) ] )
% 0.43/1.10 , clause( 26, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.43/1.10 , 0, clause( 1103, [ equalish( 'e_1', 'e_3' ), product1( 'e_4', 'e_2',
% 0.43/1.10 'e_1' ), product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_1', 'e_3', 'e_1' )
% 0.43/1.10 ] )
% 0.43/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 factor(
% 0.43/1.10 clause( 1106, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_1', 'e_3',
% 0.43/1.10 'e_1' ) ] )
% 0.43/1.10 , clause( 1105, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_2',
% 0.43/1.10 'e_1' ), product1( 'e_1', 'e_3', 'e_1' ) ] )
% 0.43/1.10 , 0, 1, substitution( 0, [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 subsumption(
% 0.43/1.10 clause( 628, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_1', 'e_3',
% 0.43/1.10 'e_1' ) ] )
% 0.43/1.10 , clause( 1106, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_1', 'e_3',
% 0.43/1.10 'e_1' ) ] )
% 0.43/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.43/1.10 ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1107, [ equalish( 'e_1', 'e_4' ), product1( 'e_4', 'e_2', 'e_1' ),
% 0.43/1.10 product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.43/1.10 , clause( 543, [ equalish( X, 'e_4' ), product1( 'e_4', 'e_2', 'e_1' ), ~(
% 0.43/1.10 product1( X, 'e_3', 'e_1' ) ) ] )
% 0.43/1.10 , 2, clause( 628, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_1', 'e_3'
% 0.43/1.10 , 'e_1' ) ] )
% 0.43/1.10 , 1, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1109, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_2',
% 0.43/1.10 'e_1' ) ] )
% 0.43/1.10 , clause( 27, [ ~( equalish( 'e_1', 'e_4' ) ) ] )
% 0.43/1.10 , 0, clause( 1107, [ equalish( 'e_1', 'e_4' ), product1( 'e_4', 'e_2',
% 0.43/1.10 'e_1' ), product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.43/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 factor(
% 0.43/1.10 clause( 1110, [ product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.43/1.10 , clause( 1109, [ product1( 'e_4', 'e_2', 'e_1' ), product1( 'e_4', 'e_2',
% 0.43/1.10 'e_1' ) ] )
% 0.43/1.10 , 0, 1, substitution( 0, [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 subsumption(
% 0.43/1.10 clause( 631, [ product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.43/1.10 , clause( 1110, [ product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.43/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1112, [ equalish( X, 'e_4' ), ~( product1( X, 'e_2', 'e_1' ) ) ] )
% 0.43/1.10 , clause( 40, [ equalish( X, T ), ~( product1( X, Y, Z ) ), ~( product1( T
% 0.43/1.10 , Y, Z ) ) ] )
% 0.43/1.10 , 2, clause( 631, [ product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.43/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_2' ), :=( Z, 'e_1' ), :=( T,
% 0.43/1.10 'e_4' )] ), substitution( 1, [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 subsumption(
% 0.43/1.10 clause( 635, [ equalish( X, 'e_4' ), ~( product1( X, 'e_2', 'e_1' ) ) ] )
% 0.43/1.10 , clause( 1112, [ equalish( X, 'e_4' ), ~( product1( X, 'e_2', 'e_1' ) ) ]
% 0.43/1.10 )
% 0.43/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.43/1.10 1 )] ) ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1114, [ equalish( X, 'e_2' ), ~( product1( 'e_4', X, 'e_1' ) ) ] )
% 0.43/1.10 , clause( 39, [ equalish( Y, T ), ~( product1( X, Y, Z ) ), ~( product1( X
% 0.43/1.10 , T, Z ) ) ] )
% 0.43/1.10 , 2, clause( 631, [ product1( 'e_4', 'e_2', 'e_1' ) ] )
% 0.43/1.10 , 0, substitution( 0, [ :=( X, 'e_4' ), :=( Y, X ), :=( Z, 'e_1' ), :=( T,
% 0.43/1.10 'e_2' )] ), substitution( 1, [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 subsumption(
% 0.43/1.10 clause( 636, [ equalish( X, 'e_2' ), ~( product1( 'e_4', X, 'e_1' ) ) ] )
% 0.43/1.10 , clause( 1114, [ equalish( X, 'e_2' ), ~( product1( 'e_4', X, 'e_1' ) ) ]
% 0.43/1.10 )
% 0.43/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.43/1.10 1 )] ) ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1115, [ equalish( 'e_3', 'e_2' ), product1( 'e_4', 'e_3', 'e_1' ),
% 0.43/1.10 product1( 'e_3', 'e_2', 'e_1' ), product1( 'e_3', 'e_2', 'e_2' ),
% 0.43/1.10 product1( 'e_3', 'e_2', 'e_3' ) ] )
% 0.43/1.10 , clause( 127, [ equalish( X, Y ), ~( product2( Y, Y, X ) ) ] )
% 0.43/1.10 , 1, clause( 431, [ product1( 'e_4', 'e_3', 'e_1' ), product1( 'e_3', 'e_2'
% 0.43/1.10 , 'e_1' ), product1( 'e_3', 'e_2', 'e_2' ), product1( 'e_3', 'e_2', 'e_3'
% 0.43/1.10 ), product2( 'e_2', 'e_2', 'e_3' ) ] )
% 0.43/1.10 , 4, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_2' )] ), substitution( 1
% 0.43/1.10 , [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1116, [ equalish( 'e_3', 'e_2' ), equalish( 'e_3', 'e_2' ),
% 0.43/1.10 product1( 'e_3', 'e_2', 'e_1' ), product1( 'e_3', 'e_2', 'e_2' ),
% 0.43/1.10 product1( 'e_3', 'e_2', 'e_3' ) ] )
% 0.43/1.10 , clause( 636, [ equalish( X, 'e_2' ), ~( product1( 'e_4', X, 'e_1' ) ) ]
% 0.43/1.10 )
% 0.43/1.10 , 1, clause( 1115, [ equalish( 'e_3', 'e_2' ), product1( 'e_4', 'e_3',
% 0.43/1.10 'e_1' ), product1( 'e_3', 'e_2', 'e_1' ), product1( 'e_3', 'e_2', 'e_2' )
% 0.43/1.10 , product1( 'e_3', 'e_2', 'e_3' ) ] )
% 0.43/1.10 , 1, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 factor(
% 0.43/1.10 clause( 1117, [ equalish( 'e_3', 'e_2' ), product1( 'e_3', 'e_2', 'e_1' ),
% 0.43/1.10 product1( 'e_3', 'e_2', 'e_2' ), product1( 'e_3', 'e_2', 'e_3' ) ] )
% 0.43/1.10 , clause( 1116, [ equalish( 'e_3', 'e_2' ), equalish( 'e_3', 'e_2' ),
% 0.43/1.10 product1( 'e_3', 'e_2', 'e_1' ), product1( 'e_3', 'e_2', 'e_2' ),
% 0.43/1.10 product1( 'e_3', 'e_2', 'e_3' ) ] )
% 0.43/1.10 , 0, 1, substitution( 0, [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 subsumption(
% 0.43/1.10 clause( 662, [ product1( 'e_3', 'e_2', 'e_1' ), product1( 'e_3', 'e_2',
% 0.43/1.10 'e_2' ), equalish( 'e_3', 'e_2' ), product1( 'e_3', 'e_2', 'e_3' ) ] )
% 0.43/1.10 , clause( 1117, [ equalish( 'e_3', 'e_2' ), product1( 'e_3', 'e_2', 'e_1' )
% 0.43/1.10 , product1( 'e_3', 'e_2', 'e_2' ), product1( 'e_3', 'e_2', 'e_3' ) ] )
% 0.43/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.43/1.10 , 1 ), ==>( 3, 3 )] ) ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1118, [ equalish( 'e_3', 'e_2' ), product1( 'e_3', 'e_2', 'e_1' ),
% 0.43/1.10 equalish( 'e_3', 'e_2' ), product1( 'e_3', 'e_2', 'e_3' ) ] )
% 0.43/1.10 , clause( 120, [ equalish( X, Y ), ~( product1( X, Y, Y ) ) ] )
% 0.43/1.10 , 1, clause( 662, [ product1( 'e_3', 'e_2', 'e_1' ), product1( 'e_3', 'e_2'
% 0.43/1.10 , 'e_2' ), equalish( 'e_3', 'e_2' ), product1( 'e_3', 'e_2', 'e_3' ) ] )
% 0.43/1.10 , 1, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_2' )] ), substitution( 1
% 0.43/1.10 , [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 factor(
% 0.43/1.10 clause( 1119, [ equalish( 'e_3', 'e_2' ), product1( 'e_3', 'e_2', 'e_1' ),
% 0.43/1.10 product1( 'e_3', 'e_2', 'e_3' ) ] )
% 0.43/1.10 , clause( 1118, [ equalish( 'e_3', 'e_2' ), product1( 'e_3', 'e_2', 'e_1' )
% 0.43/1.10 , equalish( 'e_3', 'e_2' ), product1( 'e_3', 'e_2', 'e_3' ) ] )
% 0.43/1.10 , 0, 2, substitution( 0, [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1120, [ product1( 'e_3', 'e_2', 'e_1' ), product1( 'e_3', 'e_2',
% 0.43/1.10 'e_3' ) ] )
% 0.43/1.10 , clause( 32, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.43/1.10 , 0, clause( 1119, [ equalish( 'e_3', 'e_2' ), product1( 'e_3', 'e_2',
% 0.43/1.10 'e_1' ), product1( 'e_3', 'e_2', 'e_3' ) ] )
% 0.43/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 subsumption(
% 0.43/1.10 clause( 664, [ product1( 'e_3', 'e_2', 'e_1' ), product1( 'e_3', 'e_2',
% 0.43/1.10 'e_3' ) ] )
% 0.43/1.10 , clause( 1120, [ product1( 'e_3', 'e_2', 'e_1' ), product1( 'e_3', 'e_2',
% 0.43/1.10 'e_3' ) ] )
% 0.43/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.43/1.10 ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1121, [ equalish( 'e_2', 'e_3' ), product1( 'e_3', 'e_2', 'e_1' ) ]
% 0.43/1.10 )
% 0.43/1.10 , clause( 118, [ equalish( X, Y ), ~( product1( Y, X, Y ) ) ] )
% 0.43/1.10 , 1, clause( 664, [ product1( 'e_3', 'e_2', 'e_1' ), product1( 'e_3', 'e_2'
% 0.43/1.10 , 'e_3' ) ] )
% 0.43/1.10 , 1, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_3' )] ), substitution( 1
% 0.43/1.10 , [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1122, [ product1( 'e_3', 'e_2', 'e_1' ) ] )
% 0.43/1.10 , clause( 29, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.43/1.10 , 0, clause( 1121, [ equalish( 'e_2', 'e_3' ), product1( 'e_3', 'e_2',
% 0.43/1.10 'e_1' ) ] )
% 0.43/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 subsumption(
% 0.43/1.10 clause( 669, [ product1( 'e_3', 'e_2', 'e_1' ) ] )
% 0.43/1.10 , clause( 1122, [ product1( 'e_3', 'e_2', 'e_1' ) ] )
% 0.43/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1123, [ equalish( 'e_3', 'e_4' ) ] )
% 0.43/1.10 , clause( 635, [ equalish( X, 'e_4' ), ~( product1( X, 'e_2', 'e_1' ) ) ]
% 0.43/1.10 )
% 0.43/1.10 , 1, clause( 669, [ product1( 'e_3', 'e_2', 'e_1' ) ] )
% 0.43/1.10 , 0, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 resolution(
% 0.43/1.10 clause( 1124, [] )
% 0.43/1.10 , clause( 33, [ ~( equalish( 'e_3', 'e_4' ) ) ] )
% 0.43/1.10 , 0, clause( 1123, [ equalish( 'e_3', 'e_4' ) ] )
% 0.43/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 subsumption(
% 0.43/1.10 clause( 670, [] )
% 0.43/1.10 , clause( 1124, [] )
% 0.43/1.10 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 end.
% 0.43/1.10
% 0.43/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.10
% 0.43/1.10 Memory use:
% 0.43/1.10
% 0.43/1.10 space for terms: 10607
% 0.43/1.10 space for clauses: 30406
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 clauses generated: 1357
% 0.43/1.10 clauses kept: 671
% 0.43/1.10 clauses selected: 510
% 0.43/1.10 clauses deleted: 79
% 0.43/1.10 clauses inuse deleted: 0
% 0.43/1.10
% 0.43/1.10 subsentry: 3771
% 0.43/1.10 literals s-matched: 2432
% 0.43/1.10 literals matched: 1951
% 0.43/1.10 full subsumption: 173
% 0.43/1.10
% 0.43/1.10 checksum: 2085398794
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 Bliksem ended
%------------------------------------------------------------------------------