TSTP Solution File: GRP125-4.003 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP125-4.003 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n006.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 07:35:11 EDT 2022
% Result : Unsatisfiable 0.71s 1.25s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP125-4.003 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.12/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Mon Jun 13 10:54:11 EDT 2022
% 0.18/0.33 % CPUTime :
% 0.71/1.25 *** allocated 10000 integers for termspace/termends
% 0.71/1.25 *** allocated 10000 integers for clauses
% 0.71/1.25 *** allocated 10000 integers for justifications
% 0.71/1.25 Bliksem 1.12
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 Automatic Strategy Selection
% 0.71/1.25
% 0.71/1.25 Clauses:
% 0.71/1.25 [
% 0.71/1.25 [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ), product( 'e_1',
% 0.71/1.25 X, Y ), product( 'e_2', X, Y ), product( 'e_3', X, Y ) ],
% 0.71/1.25 [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ), product( X,
% 0.71/1.25 'e_1', Y ), product( X, 'e_2', Y ), product( X, 'e_3', Y ) ],
% 0.71/1.25 [ product( X, Y, Z ), ~( product( Z, T, X ) ), ~( product( Y, X, T ) ) ]
% 0.71/1.25 ,
% 0.71/1.25 [ product( X, Y, Z ), ~( product( T, Z, Y ) ), ~( product( Y, X, T ) ) ]
% 0.71/1.25 ,
% 0.71/1.25 [ 'group_element'( 'e_1' ) ],
% 0.71/1.25 [ 'group_element'( 'e_2' ) ],
% 0.71/1.25 [ 'group_element'( 'e_3' ) ],
% 0.71/1.25 [ ~( equalish( 'e_1', 'e_2' ) ) ],
% 0.71/1.25 [ ~( equalish( 'e_1', 'e_3' ) ) ],
% 0.71/1.25 [ ~( equalish( 'e_2', 'e_1' ) ) ],
% 0.71/1.25 [ ~( equalish( 'e_2', 'e_3' ) ) ],
% 0.71/1.25 [ ~( equalish( 'e_3', 'e_1' ) ) ],
% 0.71/1.25 [ ~( equalish( 'e_3', 'e_2' ) ) ],
% 0.71/1.25 [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ), product( X, Y,
% 0.71/1.25 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ) ],
% 0.71/1.25 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish( Z, T ) ]
% 0.71/1.25 ,
% 0.71/1.25 [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish( Y, T ) ]
% 0.71/1.25 ,
% 0.71/1.25 [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish( X, T ) ]
% 0.71/1.25 ,
% 0.71/1.25 [ product( X, X, X ) ],
% 0.71/1.25 [ ~( product( X, Y, Z ) ), ~( product( Y, X, T ) ), product( Z, T, X ) ]
% 0.71/1.25
% 0.71/1.25 ] .
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 percentage equality = 0.000000, percentage horn = 0.842105
% 0.71/1.25 This a non-horn, non-equality problem
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 Options Used:
% 0.71/1.25
% 0.71/1.25 useres = 1
% 0.71/1.25 useparamod = 0
% 0.71/1.25 useeqrefl = 0
% 0.71/1.25 useeqfact = 0
% 0.71/1.25 usefactor = 1
% 0.71/1.25 usesimpsplitting = 0
% 0.71/1.25 usesimpdemod = 0
% 0.71/1.25 usesimpres = 3
% 0.71/1.25
% 0.71/1.25 resimpinuse = 1000
% 0.71/1.25 resimpclauses = 20000
% 0.71/1.25 substype = standard
% 0.71/1.25 backwardsubs = 1
% 0.71/1.25 selectoldest = 5
% 0.71/1.25
% 0.71/1.25 litorderings [0] = split
% 0.71/1.25 litorderings [1] = liftord
% 0.71/1.25
% 0.71/1.25 termordering = none
% 0.71/1.25
% 0.71/1.25 litapriori = 1
% 0.71/1.25 termapriori = 0
% 0.71/1.25 litaposteriori = 0
% 0.71/1.25 termaposteriori = 0
% 0.71/1.25 demodaposteriori = 0
% 0.71/1.25 ordereqreflfact = 0
% 0.71/1.25
% 0.71/1.25 litselect = none
% 0.71/1.25
% 0.71/1.25 maxweight = 15
% 0.71/1.25 maxdepth = 30000
% 0.71/1.25 maxlength = 115
% 0.71/1.25 maxnrvars = 195
% 0.71/1.25 excuselevel = 1
% 0.71/1.25 increasemaxweight = 1
% 0.71/1.25
% 0.71/1.25 maxselected = 10000000
% 0.71/1.25 maxnrclauses = 10000000
% 0.71/1.25
% 0.71/1.25 showgenerated = 0
% 0.71/1.25 showkept = 0
% 0.71/1.25 showselected = 0
% 0.71/1.25 showdeleted = 0
% 0.71/1.25 showresimp = 1
% 0.71/1.25 showstatus = 2000
% 0.71/1.25
% 0.71/1.25 prologoutput = 1
% 0.71/1.25 nrgoals = 5000000
% 0.71/1.25 totalproof = 1
% 0.71/1.25
% 0.71/1.25 Symbols occurring in the translation:
% 0.71/1.25
% 0.71/1.25 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.25 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 0.71/1.25 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 0.71/1.25 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.25 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.25 'group_element' [40, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.71/1.25 'e_1' [42, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.71/1.25 product [43, 3] (w:1, o:50, a:1, s:1, b:0),
% 0.71/1.25 'e_2' [44, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.71/1.25 'e_3' [45, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.71/1.25 equalish [48, 2] (w:1, o:49, a:1, s:1, b:0).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 Starting Search:
% 0.71/1.25
% 0.71/1.25 Resimplifying inuse:
% 0.71/1.25 Done
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 Bliksems!, er is een bewijs:
% 0.71/1.25 % SZS status Unsatisfiable
% 0.71/1.25 % SZS output start Refutation
% 0.71/1.25
% 0.71/1.25 clause( 1, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ), product(
% 0.71/1.25 X, 'e_1', Y ), product( X, 'e_2', Y ), product( X, 'e_3', Y ) ] )
% 0.71/1.25 .
% 0.71/1.25 clause( 2, [ ~( product( Z, T, X ) ), ~( product( Y, X, T ) ), product( X,
% 0.71/1.25 Y, Z ) ] )
% 0.71/1.25 .
% 0.71/1.25 clause( 3, [ ~( product( T, Z, Y ) ), ~( product( Y, X, T ) ), product( X,
% 0.71/1.25 Y, Z ) ] )
% 0.71/1.25 .
% 0.71/1.25 clause( 4, [ 'group_element'( 'e_1' ) ] )
% 0.71/1.25 .
% 0.71/1.25 clause( 5, [ 'group_element'( 'e_2' ) ] )
% 0.71/1.25 .
% 0.71/1.25 clause( 6, [ 'group_element'( 'e_3' ) ] )
% 0.71/1.25 .
% 0.71/1.25 clause( 9, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.71/1.25 .
% 0.71/1.25 clause( 10, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.71/1.25 .
% 0.71/1.25 clause( 12, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.71/1.25 .
% 0.71/1.25 clause( 13, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ), product(
% 0.71/1.25 X, Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ) ] )
% 0.71/1.25 .
% 0.71/1.25 clause( 14, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y,
% 0.71/1.25 T ) ) ] )
% 0.71/1.25 .
% 0.71/1.25 clause( 16, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y,
% 0.71/1.25 Z ) ) ] )
% 0.71/1.25 .
% 0.71/1.25 clause( 17, [ product( X, X, X ) ] )
% 0.71/1.25 .
% 0.71/1.25 clause( 18, [ ~( product( Y, X, T ) ), product( Z, T, X ), ~( product( X, Y
% 0.71/1.25 , Z ) ) ] )
% 0.71/1.25 .
% 0.71/1.25 clause( 22, [ product( Y, X, Y ), ~( product( X, Y, X ) ) ] )
% 0.71/1.25 .
% 0.71/1.25 clause( 27, [ product( Y, Y, X ), ~( product( X, X, Y ) ) ] )
% 0.71/1.25 .
% 0.71/1.25 clause( 31, [ product( Y, X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.71/1.25 .
% 0.71/1.25 clause( 32, [ product( Y, Y, X ), ~( product( X, Y, Y ) ) ] )
% 0.71/1.25 .
% 0.71/1.25 clause( 43, [ ~( product( X, Z, Y ) ), ~( product( X, Y, Z ) ), product( X
% 0.71/1.25 , Y, X ) ] )
% 0.71/1.25 .
% 0.71/1.25 clause( 46, [ product( X, Y, X ), ~( product( X, Y, Y ) ) ] )
% 0.71/1.25 .
% 0.71/1.25 clause( 54, [ ~( product( X, Z, Y ) ), ~( product( X, Y, Z ) ), product( X
% 0.71/1.25 , X, Y ) ] )
% 0.71/1.25 .
% 0.71/1.25 clause( 57, [ product( X, X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.71/1.25 .
% 0.71/1.25 clause( 130, [ ~( 'group_element'( X ) ), product( X, 'e_3', 'e_1' ),
% 0.71/1.25 product( X, 'e_3', X ), product( X, 'e_3', 'e_2' ) ] )
% 0.71/1.25 .
% 0.71/1.25 clause( 136, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2'
% 0.71/1.25 ) ] )
% 0.71/1.25 .
% 0.71/1.25 clause( 149, [ ~( 'group_element'( X ) ), product( X, 'e_1', 'e_3' ),
% 0.71/1.25 product( X, 'e_2', 'e_3' ), product( X, X, 'e_3' ) ] )
% 0.71/1.25 .
% 0.71/1.25 clause( 151, [ product( 'e_1', 'e_1', 'e_3' ), product( 'e_1', 'e_2', 'e_3'
% 0.71/1.25 ) ] )
% 0.71/1.25 .
% 0.71/1.25 clause( 152, [ product( 'e_2', 'e_1', 'e_3' ), product( 'e_2', 'e_2', 'e_3'
% 0.71/1.25 ) ] )
% 0.71/1.25 .
% 0.71/1.25 clause( 201, [ equalish( X, Y ), ~( product( Y, Y, X ) ) ] )
% 0.71/1.25 .
% 0.71/1.25 clause( 282, [ product( 'e_2', 'e_1', 'e_3' ) ] )
% 0.71/1.25 .
% 0.71/1.25 clause( 307, [ equalish( 'e_2', X ), ~( product( X, 'e_1', 'e_3' ) ) ] )
% 0.71/1.25 .
% 0.71/1.25 clause( 317, [ ~( product( 'e_1', 'e_3', 'e_1' ) ) ] )
% 0.71/1.25 .
% 0.71/1.25 clause( 318, [ ~( product( 'e_3', 'e_3', 'e_1' ) ) ] )
% 0.71/1.25 .
% 0.71/1.25 clause( 327, [ ~( product( 'e_1', 'e_1', 'e_3' ) ) ] )
% 0.71/1.25 .
% 0.71/1.25 clause( 1003, [ product( 'e_1', 'e_2', 'e_3' ) ] )
% 0.71/1.25 .
% 0.71/1.25 clause( 1032, [ product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.71/1.25 .
% 0.71/1.25 clause( 1050, [] )
% 0.71/1.25 .
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 % SZS output end Refutation
% 0.71/1.25 found a proof!
% 0.71/1.25
% 0.71/1.25 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.25
% 0.71/1.25 initialclauses(
% 0.71/1.25 [ clause( 1052, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.71/1.25 product( 'e_1', X, Y ), product( 'e_2', X, Y ), product( 'e_3', X, Y ) ]
% 0.71/1.25 )
% 0.71/1.25 , clause( 1053, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.71/1.25 product( X, 'e_1', Y ), product( X, 'e_2', Y ), product( X, 'e_3', Y ) ]
% 0.71/1.25 )
% 0.71/1.25 , clause( 1054, [ product( X, Y, Z ), ~( product( Z, T, X ) ), ~( product(
% 0.71/1.25 Y, X, T ) ) ] )
% 0.71/1.25 , clause( 1055, [ product( X, Y, Z ), ~( product( T, Z, Y ) ), ~( product(
% 0.71/1.25 Y, X, T ) ) ] )
% 0.71/1.25 , clause( 1056, [ 'group_element'( 'e_1' ) ] )
% 0.71/1.25 , clause( 1057, [ 'group_element'( 'e_2' ) ] )
% 0.71/1.25 , clause( 1058, [ 'group_element'( 'e_3' ) ] )
% 0.71/1.25 , clause( 1059, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.71/1.25 , clause( 1060, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.71/1.25 , clause( 1061, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.71/1.25 , clause( 1062, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.71/1.25 , clause( 1063, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.71/1.25 , clause( 1064, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.71/1.25 , clause( 1065, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.71/1.25 product( X, Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ) ]
% 0.71/1.25 )
% 0.71/1.25 , clause( 1066, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ),
% 0.71/1.25 equalish( Z, T ) ] )
% 0.71/1.25 , clause( 1067, [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ),
% 0.71/1.25 equalish( Y, T ) ] )
% 0.71/1.25 , clause( 1068, [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ),
% 0.71/1.25 equalish( X, T ) ] )
% 0.71/1.25 , clause( 1069, [ product( X, X, X ) ] )
% 0.71/1.25 , clause( 1070, [ ~( product( X, Y, Z ) ), ~( product( Y, X, T ) ), product(
% 0.71/1.25 Z, T, X ) ] )
% 0.71/1.25 ] ).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 subsumption(
% 0.71/1.25 clause( 1, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ), product(
% 0.71/1.25 X, 'e_1', Y ), product( X, 'e_2', Y ), product( X, 'e_3', Y ) ] )
% 0.71/1.25 , clause( 1053, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.71/1.25 product( X, 'e_1', Y ), product( X, 'e_2', Y ), product( X, 'e_3', Y ) ]
% 0.71/1.25 )
% 0.71/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.25 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 subsumption(
% 0.71/1.25 clause( 2, [ ~( product( Z, T, X ) ), ~( product( Y, X, T ) ), product( X,
% 0.71/1.25 Y, Z ) ] )
% 0.71/1.25 , clause( 1054, [ product( X, Y, Z ), ~( product( Z, T, X ) ), ~( product(
% 0.71/1.25 Y, X, T ) ) ] )
% 0.71/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.71/1.25 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 subsumption(
% 0.71/1.25 clause( 3, [ ~( product( T, Z, Y ) ), ~( product( Y, X, T ) ), product( X,
% 0.71/1.25 Y, Z ) ] )
% 0.71/1.25 , clause( 1055, [ product( X, Y, Z ), ~( product( T, Z, Y ) ), ~( product(
% 0.71/1.25 Y, X, T ) ) ] )
% 0.71/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.71/1.25 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 subsumption(
% 0.71/1.25 clause( 4, [ 'group_element'( 'e_1' ) ] )
% 0.71/1.25 , clause( 1056, [ 'group_element'( 'e_1' ) ] )
% 0.71/1.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 subsumption(
% 0.71/1.25 clause( 5, [ 'group_element'( 'e_2' ) ] )
% 0.71/1.25 , clause( 1057, [ 'group_element'( 'e_2' ) ] )
% 0.71/1.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 subsumption(
% 0.71/1.25 clause( 6, [ 'group_element'( 'e_3' ) ] )
% 0.71/1.25 , clause( 1058, [ 'group_element'( 'e_3' ) ] )
% 0.71/1.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 subsumption(
% 0.71/1.25 clause( 9, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.71/1.25 , clause( 1061, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.71/1.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 subsumption(
% 0.71/1.25 clause( 10, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.71/1.25 , clause( 1062, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.71/1.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 subsumption(
% 0.71/1.25 clause( 12, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.71/1.25 , clause( 1064, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.71/1.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 subsumption(
% 0.71/1.25 clause( 13, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ), product(
% 0.71/1.25 X, Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ) ] )
% 0.71/1.25 , clause( 1065, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.71/1.25 product( X, Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ) ]
% 0.71/1.25 )
% 0.71/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.25 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 subsumption(
% 0.71/1.25 clause( 14, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y,
% 0.71/1.25 T ) ) ] )
% 0.71/1.25 , clause( 1066, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ),
% 0.71/1.25 equalish( Z, T ) ] )
% 0.71/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.71/1.25 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 subsumption(
% 0.71/1.25 clause( 16, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y,
% 0.71/1.25 Z ) ) ] )
% 0.71/1.25 , clause( 1068, [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ),
% 0.71/1.25 equalish( X, T ) ] )
% 0.71/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.71/1.25 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 subsumption(
% 0.71/1.25 clause( 17, [ product( X, X, X ) ] )
% 0.71/1.25 , clause( 1069, [ product( X, X, X ) ] )
% 0.71/1.25 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 subsumption(
% 0.71/1.25 clause( 18, [ ~( product( Y, X, T ) ), product( Z, T, X ), ~( product( X, Y
% 0.71/1.25 , Z ) ) ] )
% 0.71/1.25 , clause( 1070, [ ~( product( X, Y, Z ) ), ~( product( Y, X, T ) ), product(
% 0.71/1.25 Z, T, X ) ] )
% 0.71/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.71/1.25 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 factor(
% 0.71/1.25 clause( 1140, [ ~( product( X, Y, X ) ), product( Y, X, Y ) ] )
% 0.71/1.25 , clause( 3, [ ~( product( T, Z, Y ) ), ~( product( Y, X, T ) ), product( X
% 0.71/1.25 , Y, Z ) ] )
% 0.71/1.25 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Y ), :=( T, X )] )
% 0.71/1.25 ).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 subsumption(
% 0.71/1.25 clause( 22, [ product( Y, X, Y ), ~( product( X, Y, X ) ) ] )
% 0.71/1.25 , clause( 1140, [ ~( product( X, Y, X ) ), product( Y, X, Y ) ] )
% 0.71/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.71/1.25 ), ==>( 1, 0 )] ) ).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 factor(
% 0.71/1.25 clause( 1141, [ ~( product( X, X, Y ) ), product( Y, Y, X ) ] )
% 0.71/1.25 , clause( 18, [ ~( product( Y, X, T ) ), product( Z, T, X ), ~( product( X
% 0.71/1.25 , Y, Z ) ) ] )
% 0.71/1.25 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, Y ), :=( T, Y )] )
% 0.71/1.25 ).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 subsumption(
% 0.71/1.25 clause( 27, [ product( Y, Y, X ), ~( product( X, X, Y ) ) ] )
% 0.71/1.25 , clause( 1141, [ ~( product( X, X, Y ) ), product( Y, Y, X ) ] )
% 0.71/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.71/1.25 ), ==>( 1, 0 )] ) ).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 resolution(
% 0.71/1.25 clause( 1142, [ ~( product( Y, X, X ) ), product( X, Y, X ) ] )
% 0.71/1.25 , clause( 2, [ ~( product( Z, T, X ) ), ~( product( Y, X, T ) ), product( X
% 0.71/1.25 , Y, Z ) ] )
% 0.71/1.25 , 0, clause( 17, [ product( X, X, X ) ] )
% 0.71/1.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, X ), :=( T, X )] ),
% 0.71/1.25 substitution( 1, [ :=( X, X )] )).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 subsumption(
% 0.71/1.25 clause( 31, [ product( Y, X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.71/1.25 , clause( 1142, [ ~( product( Y, X, X ) ), product( X, Y, X ) ] )
% 0.71/1.25 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 0.71/1.25 ), ==>( 1, 0 )] ) ).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 resolution(
% 0.71/1.25 clause( 1145, [ ~( product( X, Y, Y ) ), product( Y, Y, X ) ] )
% 0.71/1.25 , clause( 2, [ ~( product( Z, T, X ) ), ~( product( Y, X, T ) ), product( X
% 0.71/1.25 , Y, Z ) ] )
% 0.71/1.25 , 1, clause( 17, [ product( X, X, X ) ] )
% 0.71/1.25 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Y ), :=( Z, X ), :=( T, Y )] ),
% 0.71/1.25 substitution( 1, [ :=( X, Y )] )).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 subsumption(
% 0.71/1.25 clause( 32, [ product( Y, Y, X ), ~( product( X, Y, Y ) ) ] )
% 0.71/1.25 , clause( 1145, [ ~( product( X, Y, Y ) ), product( Y, Y, X ) ] )
% 0.71/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.71/1.25 ), ==>( 1, 0 )] ) ).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 resolution(
% 0.71/1.25 clause( 1146, [ product( X, Y, X ), ~( product( X, Z, Y ) ), ~( product( X
% 0.71/1.25 , Y, Z ) ) ] )
% 0.71/1.25 , clause( 31, [ product( Y, X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.71/1.25 , 1, clause( 2, [ ~( product( Z, T, X ) ), ~( product( Y, X, T ) ), product(
% 0.71/1.25 X, Y, Z ) ] )
% 0.71/1.25 , 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [ :=( X
% 0.71/1.25 , Y ), :=( Y, X ), :=( Z, X ), :=( T, Z )] )).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 subsumption(
% 0.71/1.25 clause( 43, [ ~( product( X, Z, Y ) ), ~( product( X, Y, Z ) ), product( X
% 0.71/1.25 , Y, X ) ] )
% 0.71/1.25 , clause( 1146, [ product( X, Y, X ), ~( product( X, Z, Y ) ), ~( product(
% 0.71/1.25 X, Y, Z ) ) ] )
% 0.71/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.25 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 factor(
% 0.71/1.25 clause( 1148, [ ~( product( X, Y, Y ) ), product( X, Y, X ) ] )
% 0.71/1.25 , clause( 43, [ ~( product( X, Z, Y ) ), ~( product( X, Y, Z ) ), product(
% 0.71/1.25 X, Y, X ) ] )
% 0.71/1.25 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 subsumption(
% 0.71/1.25 clause( 46, [ product( X, Y, X ), ~( product( X, Y, Y ) ) ] )
% 0.71/1.25 , clause( 1148, [ ~( product( X, Y, Y ) ), product( X, Y, X ) ] )
% 0.71/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.71/1.25 ), ==>( 1, 0 )] ) ).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 resolution(
% 0.71/1.25 clause( 1149, [ product( X, X, Y ), ~( product( X, Z, Y ) ), ~( product( X
% 0.71/1.25 , Y, Z ) ) ] )
% 0.71/1.25 , clause( 32, [ product( Y, Y, X ), ~( product( X, Y, Y ) ) ] )
% 0.71/1.25 , 1, clause( 2, [ ~( product( Z, T, X ) ), ~( product( Y, X, T ) ), product(
% 0.71/1.25 X, Y, Z ) ] )
% 0.71/1.25 , 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [ :=( X
% 0.71/1.25 , Y ), :=( Y, X ), :=( Z, X ), :=( T, Z )] )).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 subsumption(
% 0.71/1.25 clause( 54, [ ~( product( X, Z, Y ) ), ~( product( X, Y, Z ) ), product( X
% 0.71/1.25 , X, Y ) ] )
% 0.71/1.25 , clause( 1149, [ product( X, X, Y ), ~( product( X, Z, Y ) ), ~( product(
% 0.71/1.25 X, Y, Z ) ) ] )
% 0.71/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.25 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 factor(
% 0.71/1.25 clause( 1151, [ ~( product( X, Y, Y ) ), product( X, X, Y ) ] )
% 0.71/1.25 , clause( 54, [ ~( product( X, Z, Y ) ), ~( product( X, Y, Z ) ), product(
% 0.71/1.25 X, X, Y ) ] )
% 0.71/1.25 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 subsumption(
% 0.71/1.25 clause( 57, [ product( X, X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.71/1.25 , clause( 1151, [ ~( product( X, Y, Y ) ), product( X, X, Y ) ] )
% 0.71/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.71/1.25 ), ==>( 1, 0 )] ) ).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 resolution(
% 0.71/1.25 clause( 1154, [ product( X, 'e_3', X ), ~( 'group_element'( X ) ), ~(
% 0.71/1.25 'group_element'( 'e_3' ) ), product( X, 'e_3', 'e_1' ), product( X, 'e_3'
% 0.71/1.25 , 'e_2' ) ] )
% 0.71/1.25 , clause( 46, [ product( X, Y, X ), ~( product( X, Y, Y ) ) ] )
% 0.71/1.25 , 1, clause( 13, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.71/1.25 product( X, Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ) ]
% 0.71/1.25 )
% 0.71/1.25 , 4, substitution( 0, [ :=( X, X ), :=( Y, 'e_3' )] ), substitution( 1, [
% 0.71/1.25 :=( X, X ), :=( Y, 'e_3' )] )).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 resolution(
% 0.71/1.25 clause( 1169, [ product( X, 'e_3', X ), ~( 'group_element'( X ) ), product(
% 0.71/1.25 X, 'e_3', 'e_1' ), product( X, 'e_3', 'e_2' ) ] )
% 0.71/1.25 , clause( 1154, [ product( X, 'e_3', X ), ~( 'group_element'( X ) ), ~(
% 0.71/1.25 'group_element'( 'e_3' ) ), product( X, 'e_3', 'e_1' ), product( X, 'e_3'
% 0.71/1.25 , 'e_2' ) ] )
% 0.71/1.25 , 2, clause( 6, [ 'group_element'( 'e_3' ) ] )
% 0.71/1.25 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 subsumption(
% 0.71/1.25 clause( 130, [ ~( 'group_element'( X ) ), product( X, 'e_3', 'e_1' ),
% 0.71/1.25 product( X, 'e_3', X ), product( X, 'e_3', 'e_2' ) ] )
% 0.71/1.25 , clause( 1169, [ product( X, 'e_3', X ), ~( 'group_element'( X ) ),
% 0.71/1.25 product( X, 'e_3', 'e_1' ), product( X, 'e_3', 'e_2' ) ] )
% 0.71/1.25 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.71/1.25 0 ), ==>( 2, 1 ), ==>( 3, 3 )] ) ).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 factor(
% 0.71/1.25 clause( 1172, [ ~( 'group_element'( 'e_1' ) ), product( 'e_1', 'e_3', 'e_1'
% 0.71/1.25 ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.71/1.25 , clause( 130, [ ~( 'group_element'( X ) ), product( X, 'e_3', 'e_1' ),
% 0.71/1.25 product( X, 'e_3', X ), product( X, 'e_3', 'e_2' ) ] )
% 0.71/1.25 , 1, 2, substitution( 0, [ :=( X, 'e_1' )] )).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 resolution(
% 0.71/1.25 clause( 1174, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3',
% 0.71/1.25 'e_2' ) ] )
% 0.71/1.25 , clause( 1172, [ ~( 'group_element'( 'e_1' ) ), product( 'e_1', 'e_3',
% 0.71/1.25 'e_1' ), product( 'e_1', 'e_3', 'e_2' ) ] )
% 0.71/1.25 , 0, clause( 4, [ 'group_element'( 'e_1' ) ] )
% 0.71/1.25 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 subsumption(
% 0.71/1.25 clause( 136, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3', 'e_2'
% 0.71/1.25 ) ] )
% 0.71/1.25 , clause( 1174, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3',
% 0.71/1.25 'e_2' ) ] )
% 0.71/1.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.71/1.25 ).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 resolution(
% 0.71/1.25 clause( 1177, [ product( X, X, 'e_3' ), ~( 'group_element'( X ) ), ~(
% 0.71/1.25 'group_element'( 'e_3' ) ), product( X, 'e_1', 'e_3' ), product( X, 'e_2'
% 0.71/1.25 , 'e_3' ) ] )
% 0.71/1.25 , clause( 57, [ product( X, X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.71/1.25 , 1, clause( 1, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.71/1.25 product( X, 'e_1', Y ), product( X, 'e_2', Y ), product( X, 'e_3', Y ) ]
% 0.71/1.25 )
% 0.71/1.25 , 4, substitution( 0, [ :=( X, X ), :=( Y, 'e_3' )] ), substitution( 1, [
% 0.71/1.25 :=( X, X ), :=( Y, 'e_3' )] )).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 resolution(
% 0.71/1.25 clause( 1192, [ product( X, X, 'e_3' ), ~( 'group_element'( X ) ), product(
% 0.71/1.25 X, 'e_1', 'e_3' ), product( X, 'e_2', 'e_3' ) ] )
% 0.71/1.25 , clause( 1177, [ product( X, X, 'e_3' ), ~( 'group_element'( X ) ), ~(
% 0.71/1.25 'group_element'( 'e_3' ) ), product( X, 'e_1', 'e_3' ), product( X, 'e_2'
% 0.71/1.25 , 'e_3' ) ] )
% 0.71/1.25 , 2, clause( 6, [ 'group_element'( 'e_3' ) ] )
% 0.71/1.25 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 subsumption(
% 0.71/1.25 clause( 149, [ ~( 'group_element'( X ) ), product( X, 'e_1', 'e_3' ),
% 0.71/1.25 product( X, 'e_2', 'e_3' ), product( X, X, 'e_3' ) ] )
% 0.71/1.25 , clause( 1192, [ product( X, X, 'e_3' ), ~( 'group_element'( X ) ),
% 0.71/1.25 product( X, 'e_1', 'e_3' ), product( X, 'e_2', 'e_3' ) ] )
% 0.71/1.25 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 0.71/1.25 0 ), ==>( 2, 1 ), ==>( 3, 2 )] ) ).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 factor(
% 0.71/1.25 clause( 1195, [ ~( 'group_element'( 'e_1' ) ), product( 'e_1', 'e_1', 'e_3'
% 0.71/1.25 ), product( 'e_1', 'e_2', 'e_3' ) ] )
% 0.71/1.25 , clause( 149, [ ~( 'group_element'( X ) ), product( X, 'e_1', 'e_3' ),
% 0.71/1.25 product( X, 'e_2', 'e_3' ), product( X, X, 'e_3' ) ] )
% 0.71/1.25 , 1, 3, substitution( 0, [ :=( X, 'e_1' )] )).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 resolution(
% 0.71/1.25 clause( 1197, [ product( 'e_1', 'e_1', 'e_3' ), product( 'e_1', 'e_2',
% 0.71/1.25 'e_3' ) ] )
% 0.71/1.25 , clause( 1195, [ ~( 'group_element'( 'e_1' ) ), product( 'e_1', 'e_1',
% 0.71/1.25 'e_3' ), product( 'e_1', 'e_2', 'e_3' ) ] )
% 0.71/1.25 , 0, clause( 4, [ 'group_element'( 'e_1' ) ] )
% 0.71/1.25 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 subsumption(
% 0.71/1.25 clause( 151, [ product( 'e_1', 'e_1', 'e_3' ), product( 'e_1', 'e_2', 'e_3'
% 0.71/1.25 ) ] )
% 0.71/1.25 , clause( 1197, [ product( 'e_1', 'e_1', 'e_3' ), product( 'e_1', 'e_2',
% 0.71/1.25 'e_3' ) ] )
% 0.71/1.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.71/1.25 ).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 factor(
% 0.71/1.25 clause( 1199, [ ~( 'group_element'( 'e_2' ) ), product( 'e_2', 'e_1', 'e_3'
% 0.71/1.25 ), product( 'e_2', 'e_2', 'e_3' ) ] )
% 0.71/1.25 , clause( 149, [ ~( 'group_element'( X ) ), product( X, 'e_1', 'e_3' ),
% 0.71/1.25 product( X, 'e_2', 'e_3' ), product( X, X, 'e_3' ) ] )
% 0.71/1.25 , 2, 3, substitution( 0, [ :=( X, 'e_2' )] )).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 resolution(
% 0.71/1.25 clause( 1200, [ product( 'e_2', 'e_1', 'e_3' ), product( 'e_2', 'e_2',
% 0.71/1.25 'e_3' ) ] )
% 0.71/1.25 , clause( 1199, [ ~( 'group_element'( 'e_2' ) ), product( 'e_2', 'e_1',
% 0.71/1.25 'e_3' ), product( 'e_2', 'e_2', 'e_3' ) ] )
% 0.71/1.25 , 0, clause( 5, [ 'group_element'( 'e_2' ) ] )
% 0.71/1.25 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 subsumption(
% 0.71/1.25 clause( 152, [ product( 'e_2', 'e_1', 'e_3' ), product( 'e_2', 'e_2', 'e_3'
% 0.71/1.25 ) ] )
% 0.71/1.25 , clause( 1200, [ product( 'e_2', 'e_1', 'e_3' ), product( 'e_2', 'e_2',
% 0.71/1.25 'e_3' ) ] )
% 0.71/1.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.71/1.25 ).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 resolution(
% 0.71/1.25 clause( 1202, [ equalish( X, Y ), ~( product( Y, Y, X ) ) ] )
% 0.71/1.25 , clause( 14, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y
% 0.71/1.25 , T ) ) ] )
% 0.71/1.25 , 2, clause( 17, [ product( X, X, X ) ] )
% 0.71/1.25 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Y ), :=( Z, X ), :=( T, Y )] ),
% 0.71/1.25 substitution( 1, [ :=( X, Y )] )).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 subsumption(
% 0.71/1.25 clause( 201, [ equalish( X, Y ), ~( product( Y, Y, X ) ) ] )
% 0.71/1.25 , clause( 1202, [ equalish( X, Y ), ~( product( Y, Y, X ) ) ] )
% 0.71/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.25 ), ==>( 1, 1 )] ) ).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 resolution(
% 0.71/1.25 clause( 1203, [ equalish( 'e_3', 'e_2' ), product( 'e_2', 'e_1', 'e_3' ) ]
% 0.71/1.25 )
% 0.71/1.25 , clause( 201, [ equalish( X, Y ), ~( product( Y, Y, X ) ) ] )
% 0.71/1.25 , 1, clause( 152, [ product( 'e_2', 'e_1', 'e_3' ), product( 'e_2', 'e_2',
% 0.71/1.25 'e_3' ) ] )
% 0.71/1.25 , 1, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_2' )] ), substitution( 1
% 0.71/1.25 , [] )).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 resolution(
% 0.71/1.25 clause( 1204, [ product( 'e_2', 'e_1', 'e_3' ) ] )
% 0.71/1.25 , clause( 12, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.71/1.25 , 0, clause( 1203, [ equalish( 'e_3', 'e_2' ), product( 'e_2', 'e_1', 'e_3'
% 0.71/1.25 ) ] )
% 0.71/1.25 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 subsumption(
% 0.71/1.25 clause( 282, [ product( 'e_2', 'e_1', 'e_3' ) ] )
% 0.71/1.25 , clause( 1204, [ product( 'e_2', 'e_1', 'e_3' ) ] )
% 0.71/1.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 resolution(
% 0.71/1.25 clause( 1205, [ equalish( 'e_2', X ), ~( product( X, 'e_1', 'e_3' ) ) ] )
% 0.71/1.25 , clause( 16, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.71/1.25 , Z ) ) ] )
% 0.71/1.25 , 1, clause( 282, [ product( 'e_2', 'e_1', 'e_3' ) ] )
% 0.71/1.25 , 0, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_1' ), :=( Z, 'e_3' ),
% 0.71/1.25 :=( T, X )] ), substitution( 1, [] )).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 subsumption(
% 0.71/1.25 clause( 307, [ equalish( 'e_2', X ), ~( product( X, 'e_1', 'e_3' ) ) ] )
% 0.71/1.25 , clause( 1205, [ equalish( 'e_2', X ), ~( product( X, 'e_1', 'e_3' ) ) ]
% 0.71/1.25 )
% 0.71/1.25 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.71/1.25 1 )] ) ).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 resolution(
% 0.71/1.25 clause( 1207, [ equalish( 'e_2', 'e_3' ), ~( product( 'e_1', 'e_3', 'e_1' )
% 0.71/1.25 ) ] )
% 0.71/1.25 , clause( 307, [ equalish( 'e_2', X ), ~( product( X, 'e_1', 'e_3' ) ) ] )
% 0.71/1.25 , 1, clause( 22, [ product( Y, X, Y ), ~( product( X, Y, X ) ) ] )
% 0.71/1.25 , 0, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [ :=( X, 'e_1'
% 0.71/1.25 ), :=( Y, 'e_3' )] )).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 resolution(
% 0.71/1.25 clause( 1208, [ ~( product( 'e_1', 'e_3', 'e_1' ) ) ] )
% 0.71/1.25 , clause( 10, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.71/1.25 , 0, clause( 1207, [ equalish( 'e_2', 'e_3' ), ~( product( 'e_1', 'e_3',
% 0.71/1.25 'e_1' ) ) ] )
% 0.71/1.25 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 subsumption(
% 0.71/1.25 clause( 317, [ ~( product( 'e_1', 'e_3', 'e_1' ) ) ] )
% 0.71/1.25 , clause( 1208, [ ~( product( 'e_1', 'e_3', 'e_1' ) ) ] )
% 0.71/1.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 resolution(
% 0.71/1.25 clause( 1209, [ equalish( 'e_2', 'e_1' ), ~( product( 'e_3', 'e_3', 'e_1' )
% 0.71/1.25 ) ] )
% 0.71/1.25 , clause( 307, [ equalish( 'e_2', X ), ~( product( X, 'e_1', 'e_3' ) ) ] )
% 0.71/1.25 , 1, clause( 27, [ product( Y, Y, X ), ~( product( X, X, Y ) ) ] )
% 0.71/1.25 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [ :=( X, 'e_3'
% 0.71/1.25 ), :=( Y, 'e_1' )] )).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 resolution(
% 0.71/1.25 clause( 1210, [ ~( product( 'e_3', 'e_3', 'e_1' ) ) ] )
% 0.71/1.25 , clause( 9, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.71/1.25 , 0, clause( 1209, [ equalish( 'e_2', 'e_1' ), ~( product( 'e_3', 'e_3',
% 0.71/1.25 'e_1' ) ) ] )
% 0.71/1.25 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 subsumption(
% 0.71/1.25 clause( 318, [ ~( product( 'e_3', 'e_3', 'e_1' ) ) ] )
% 0.71/1.25 , clause( 1210, [ ~( product( 'e_3', 'e_3', 'e_1' ) ) ] )
% 0.71/1.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 resolution(
% 0.71/1.25 clause( 1211, [ ~( product( 'e_1', 'e_1', 'e_3' ) ) ] )
% 0.71/1.25 , clause( 318, [ ~( product( 'e_3', 'e_3', 'e_1' ) ) ] )
% 0.71/1.25 , 0, clause( 27, [ product( Y, Y, X ), ~( product( X, X, Y ) ) ] )
% 0.71/1.25 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'e_1' ), :=( Y, 'e_3'
% 0.71/1.25 )] )).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 subsumption(
% 0.71/1.25 clause( 327, [ ~( product( 'e_1', 'e_1', 'e_3' ) ) ] )
% 0.71/1.25 , clause( 1211, [ ~( product( 'e_1', 'e_1', 'e_3' ) ) ] )
% 0.71/1.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 resolution(
% 0.71/1.25 clause( 1212, [ product( 'e_1', 'e_2', 'e_3' ) ] )
% 0.71/1.25 , clause( 327, [ ~( product( 'e_1', 'e_1', 'e_3' ) ) ] )
% 0.71/1.25 , 0, clause( 151, [ product( 'e_1', 'e_1', 'e_3' ), product( 'e_1', 'e_2',
% 0.71/1.25 'e_3' ) ] )
% 0.71/1.25 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 subsumption(
% 0.71/1.25 clause( 1003, [ product( 'e_1', 'e_2', 'e_3' ) ] )
% 0.71/1.25 , clause( 1212, [ product( 'e_1', 'e_2', 'e_3' ) ] )
% 0.71/1.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 resolution(
% 0.71/1.25 clause( 1213, [ ~( product( 'e_1', 'e_3', 'e_2' ) ), product( 'e_1', 'e_3'
% 0.71/1.25 , 'e_1' ) ] )
% 0.71/1.25 , clause( 43, [ ~( product( X, Z, Y ) ), ~( product( X, Y, Z ) ), product(
% 0.71/1.25 X, Y, X ) ] )
% 0.71/1.25 , 0, clause( 1003, [ product( 'e_1', 'e_2', 'e_3' ) ] )
% 0.71/1.25 , 0, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_3' ), :=( Z, 'e_2' )] ),
% 0.71/1.25 substitution( 1, [] )).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 resolution(
% 0.71/1.25 clause( 1215, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3',
% 0.71/1.25 'e_1' ) ] )
% 0.71/1.25 , clause( 1213, [ ~( product( 'e_1', 'e_3', 'e_2' ) ), product( 'e_1',
% 0.71/1.25 'e_3', 'e_1' ) ] )
% 0.71/1.25 , 0, clause( 136, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3',
% 0.71/1.25 'e_2' ) ] )
% 0.71/1.25 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 factor(
% 0.71/1.25 clause( 1216, [ product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.71/1.25 , clause( 1215, [ product( 'e_1', 'e_3', 'e_1' ), product( 'e_1', 'e_3',
% 0.71/1.25 'e_1' ) ] )
% 0.71/1.25 , 0, 1, substitution( 0, [] )).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 subsumption(
% 0.71/1.25 clause( 1032, [ product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.71/1.25 , clause( 1216, [ product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.71/1.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 resolution(
% 0.71/1.25 clause( 1217, [] )
% 0.71/1.25 , clause( 317, [ ~( product( 'e_1', 'e_3', 'e_1' ) ) ] )
% 0.71/1.25 , 0, clause( 1032, [ product( 'e_1', 'e_3', 'e_1' ) ] )
% 0.71/1.25 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 subsumption(
% 0.71/1.25 clause( 1050, [] )
% 0.71/1.25 , clause( 1217, [] )
% 0.71/1.25 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 end.
% 0.71/1.25
% 0.71/1.25 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.25
% 0.71/1.25 Memory use:
% 0.71/1.25
% 0.71/1.25 space for terms: 14911
% 0.71/1.25 space for clauses: 42568
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 clauses generated: 5990
% 0.71/1.25 clauses kept: 1051
% 0.71/1.25 clauses selected: 124
% 0.71/1.25 clauses deleted: 7
% 0.71/1.25 clauses inuse deleted: 4
% 0.71/1.25
% 0.71/1.25 subsentry: 85136
% 0.71/1.25 literals s-matched: 41896
% 0.71/1.25 literals matched: 27000
% 0.71/1.25 full subsumption: 19397
% 0.71/1.25
% 0.71/1.25 checksum: -1366662235
% 0.71/1.25
% 0.71/1.25
% 0.71/1.25 Bliksem ended
%------------------------------------------------------------------------------