TSTP Solution File: GRP123-9.003 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP123-9.003 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 07:35:02 EDT 2022
% Result : Unsatisfiable 0.70s 1.10s
% Output : Refutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP123-9.003 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Mon Jun 13 05:57:12 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.70/1.10 *** allocated 10000 integers for termspace/termends
% 0.70/1.10 *** allocated 10000 integers for clauses
% 0.70/1.10 *** allocated 10000 integers for justifications
% 0.70/1.10 Bliksem 1.12
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Automatic Strategy Selection
% 0.70/1.10
% 0.70/1.10 Clauses:
% 0.70/1.10 [
% 0.70/1.10 [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ), product( 'e_1',
% 0.70/1.10 X, Y ), product( 'e_2', X, Y ), product( 'e_3', X, Y ) ],
% 0.70/1.10 [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ), product( X,
% 0.70/1.10 'e_1', Y ), product( X, 'e_2', Y ), product( X, 'e_3', Y ) ],
% 0.70/1.10 [ 'group_element'( 'e_1' ) ],
% 0.70/1.10 [ 'group_element'( 'e_2' ) ],
% 0.70/1.10 [ 'group_element'( 'e_3' ) ],
% 0.70/1.10 [ ~( equalish( 'e_1', 'e_2' ) ) ],
% 0.70/1.10 [ ~( equalish( 'e_1', 'e_3' ) ) ],
% 0.70/1.10 [ ~( equalish( 'e_2', 'e_1' ) ) ],
% 0.70/1.10 [ ~( equalish( 'e_2', 'e_3' ) ) ],
% 0.70/1.10 [ ~( equalish( 'e_3', 'e_1' ) ) ],
% 0.70/1.10 [ ~( equalish( 'e_3', 'e_2' ) ) ],
% 0.70/1.10 [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ), product1( X, Y,
% 0.70/1.10 'e_1' ), product1( X, Y, 'e_2' ), product1( X, Y, 'e_3' ) ],
% 0.70/1.10 [ ~( product1( X, Y, Z ) ), ~( product1( X, Y, T ) ), equalish( Z, T ) ]
% 0.70/1.10 ,
% 0.70/1.10 [ ~( product1( X, Y, Z ) ), ~( product1( X, T, Z ) ), equalish( Y, T ) ]
% 0.70/1.10 ,
% 0.70/1.10 [ ~( product1( X, Y, Z ) ), ~( product1( T, Y, Z ) ), equalish( X, T ) ]
% 0.70/1.10 ,
% 0.70/1.10 [ product1( X, X, X ) ],
% 0.70/1.10 [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ), product2( X, Y,
% 0.70/1.10 'e_1' ), product2( X, Y, 'e_2' ), product2( X, Y, 'e_3' ) ],
% 0.70/1.10 [ ~( product2( X, Y, Z ) ), ~( product2( X, Y, T ) ), equalish( Z, T ) ]
% 0.70/1.10 ,
% 0.70/1.10 [ ~( product2( X, Y, Z ) ), ~( product2( X, T, Z ) ), equalish( Y, T ) ]
% 0.70/1.10 ,
% 0.70/1.10 [ ~( product2( X, Y, Z ) ), ~( product2( T, Y, Z ) ), equalish( X, T ) ]
% 0.70/1.10 ,
% 0.70/1.10 [ product2( X, X, X ) ],
% 0.70/1.10 [ ~( product1( X, Y, Z ) ), ~( product1( Z, Y, T ) ), product2( T, X, Y
% 0.70/1.10 ) ]
% 0.70/1.10 ] .
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 percentage equality = 0.000000, percentage horn = 0.818182
% 0.70/1.10 This a non-horn, non-equality problem
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Options Used:
% 0.70/1.10
% 0.70/1.10 useres = 1
% 0.70/1.10 useparamod = 0
% 0.70/1.10 useeqrefl = 0
% 0.70/1.10 useeqfact = 0
% 0.70/1.10 usefactor = 1
% 0.70/1.10 usesimpsplitting = 0
% 0.70/1.10 usesimpdemod = 0
% 0.70/1.10 usesimpres = 3
% 0.70/1.10
% 0.70/1.10 resimpinuse = 1000
% 0.70/1.10 resimpclauses = 20000
% 0.70/1.10 substype = standard
% 0.70/1.10 backwardsubs = 1
% 0.70/1.10 selectoldest = 5
% 0.70/1.10
% 0.70/1.10 litorderings [0] = split
% 0.70/1.10 litorderings [1] = liftord
% 0.70/1.10
% 0.70/1.10 termordering = none
% 0.70/1.10
% 0.70/1.10 litapriori = 1
% 0.70/1.10 termapriori = 0
% 0.70/1.10 litaposteriori = 0
% 0.70/1.10 termaposteriori = 0
% 0.70/1.10 demodaposteriori = 0
% 0.70/1.10 ordereqreflfact = 0
% 0.70/1.10
% 0.70/1.10 litselect = none
% 0.70/1.10
% 0.70/1.10 maxweight = 15
% 0.70/1.10 maxdepth = 30000
% 0.70/1.10 maxlength = 115
% 0.70/1.10 maxnrvars = 195
% 0.70/1.10 excuselevel = 1
% 0.70/1.10 increasemaxweight = 1
% 0.70/1.10
% 0.70/1.10 maxselected = 10000000
% 0.70/1.10 maxnrclauses = 10000000
% 0.70/1.10
% 0.70/1.10 showgenerated = 0
% 0.70/1.10 showkept = 0
% 0.70/1.10 showselected = 0
% 0.70/1.10 showdeleted = 0
% 0.70/1.10 showresimp = 1
% 0.70/1.10 showstatus = 2000
% 0.70/1.10
% 0.70/1.10 prologoutput = 1
% 0.70/1.10 nrgoals = 5000000
% 0.70/1.10 totalproof = 1
% 0.70/1.10
% 0.70/1.10 Symbols occurring in the translation:
% 0.70/1.10
% 0.70/1.10 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.70/1.10 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 0.70/1.10 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 0.70/1.10 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.10 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.10 'group_element' [40, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.70/1.10 'e_1' [42, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.70/1.10 product [43, 3] (w:1, o:50, a:1, s:1, b:0),
% 0.70/1.10 'e_2' [44, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.70/1.10 'e_3' [45, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.70/1.10 equalish [46, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.70/1.10 product1 [47, 3] (w:1, o:51, a:1, s:1, b:0),
% 0.70/1.10 product2 [50, 3] (w:1, o:52, a:1, s:1, b:0).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Starting Search:
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Bliksems!, er is een bewijs:
% 0.70/1.10 % SZS status Unsatisfiable
% 0.70/1.10 % SZS output start Refutation
% 0.70/1.10
% 0.70/1.10 clause( 2, [ 'group_element'( 'e_1' ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 3, [ 'group_element'( 'e_2' ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 4, [ 'group_element'( 'e_3' ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 6, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 8, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 10, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 11, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.70/1.10 product1( X, Y, 'e_1' ), product1( X, Y, 'e_2' ), product1( X, Y, 'e_3' )
% 0.70/1.10 ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 13, [ equalish( Y, T ), ~( product1( X, Y, Z ) ), ~( product1( X, T
% 0.70/1.10 , Z ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 14, [ equalish( X, T ), ~( product1( X, Y, Z ) ), ~( product1( T, Y
% 0.70/1.10 , Z ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 15, [ product1( X, X, X ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 17, [ equalish( Z, T ), ~( product2( X, Y, Z ) ), ~( product2( X, Y
% 0.70/1.10 , T ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 18, [ equalish( Y, T ), ~( product2( X, Y, Z ) ), ~( product2( X, T
% 0.70/1.10 , Z ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 20, [ product2( X, X, X ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 21, [ ~( product1( X, Y, Z ) ), ~( product1( Z, Y, T ) ), product2(
% 0.70/1.10 T, X, Y ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 42, [ equalish( X, Y ), ~( product1( X, Y, X ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 44, [ ~( 'group_element'( X ) ), equalish( 'e_3', X ), product1(
% 0.70/1.10 'e_3', X, 'e_1' ), product1( 'e_3', X, 'e_2' ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 53, [ equalish( X, Y ), ~( product1( X, Y, Y ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 58, [ equalish( X, Y ), ~( product2( X, Y, X ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 72, [ equalish( X, Y ), ~( product2( X, X, Y ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 75, [ equalish( X, Y ), ~( product1( X, Y, Z ) ), ~( product1( Z, Y
% 0.70/1.10 , X ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 79, [ equalish( Y, X ), ~( product1( X, Y, Z ) ), ~( product1( Z, Y
% 0.70/1.10 , Y ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 176, [ equalish( 'e_3', 'e_2' ), product1( 'e_3', 'e_2', 'e_1' ) ]
% 0.70/1.10 )
% 0.70/1.10 .
% 0.70/1.10 clause( 178, [ product1( 'e_3', 'e_2', 'e_1' ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 180, [ ~( product1( 'e_1', 'e_2', 'e_2' ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 181, [ ~( product1( 'e_1', 'e_2', 'e_3' ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 183, [ equalish( X, 'e_3' ), ~( product1( X, 'e_2', 'e_1' ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 194, [ ~( 'group_element'( 'e_2' ) ), product1( 'e_1', 'e_2', 'e_1'
% 0.70/1.10 ), product1( 'e_1', 'e_2', 'e_2' ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 195, [ product1( 'e_1', 'e_2', 'e_1' ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 196, [] )
% 0.70/1.10 .
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 % SZS output end Refutation
% 0.70/1.10 found a proof!
% 0.70/1.10
% 0.70/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.10
% 0.70/1.10 initialclauses(
% 0.70/1.10 [ clause( 198, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.70/1.10 product( 'e_1', X, Y ), product( 'e_2', X, Y ), product( 'e_3', X, Y ) ]
% 0.70/1.10 )
% 0.70/1.10 , clause( 199, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.70/1.10 product( X, 'e_1', Y ), product( X, 'e_2', Y ), product( X, 'e_3', Y ) ]
% 0.70/1.10 )
% 0.70/1.10 , clause( 200, [ 'group_element'( 'e_1' ) ] )
% 0.70/1.10 , clause( 201, [ 'group_element'( 'e_2' ) ] )
% 0.70/1.10 , clause( 202, [ 'group_element'( 'e_3' ) ] )
% 0.70/1.10 , clause( 203, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.70/1.10 , clause( 204, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.70/1.10 , clause( 205, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.70/1.10 , clause( 206, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.70/1.10 , clause( 207, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.70/1.10 , clause( 208, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.70/1.10 , clause( 209, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.70/1.10 product1( X, Y, 'e_1' ), product1( X, Y, 'e_2' ), product1( X, Y, 'e_3' )
% 0.70/1.10 ] )
% 0.70/1.10 , clause( 210, [ ~( product1( X, Y, Z ) ), ~( product1( X, Y, T ) ),
% 0.70/1.10 equalish( Z, T ) ] )
% 0.70/1.10 , clause( 211, [ ~( product1( X, Y, Z ) ), ~( product1( X, T, Z ) ),
% 0.70/1.10 equalish( Y, T ) ] )
% 0.70/1.10 , clause( 212, [ ~( product1( X, Y, Z ) ), ~( product1( T, Y, Z ) ),
% 0.70/1.10 equalish( X, T ) ] )
% 0.70/1.10 , clause( 213, [ product1( X, X, X ) ] )
% 0.70/1.10 , clause( 214, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.70/1.10 product2( X, Y, 'e_1' ), product2( X, Y, 'e_2' ), product2( X, Y, 'e_3' )
% 0.70/1.10 ] )
% 0.70/1.10 , clause( 215, [ ~( product2( X, Y, Z ) ), ~( product2( X, Y, T ) ),
% 0.70/1.10 equalish( Z, T ) ] )
% 0.70/1.10 , clause( 216, [ ~( product2( X, Y, Z ) ), ~( product2( X, T, Z ) ),
% 0.70/1.10 equalish( Y, T ) ] )
% 0.70/1.10 , clause( 217, [ ~( product2( X, Y, Z ) ), ~( product2( T, Y, Z ) ),
% 0.70/1.10 equalish( X, T ) ] )
% 0.70/1.10 , clause( 218, [ product2( X, X, X ) ] )
% 0.70/1.10 , clause( 219, [ ~( product1( X, Y, Z ) ), ~( product1( Z, Y, T ) ),
% 0.70/1.10 product2( T, X, Y ) ] )
% 0.70/1.10 ] ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 2, [ 'group_element'( 'e_1' ) ] )
% 0.70/1.10 , clause( 200, [ 'group_element'( 'e_1' ) ] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 3, [ 'group_element'( 'e_2' ) ] )
% 0.70/1.10 , clause( 201, [ 'group_element'( 'e_2' ) ] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 4, [ 'group_element'( 'e_3' ) ] )
% 0.70/1.10 , clause( 202, [ 'group_element'( 'e_3' ) ] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 6, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.70/1.10 , clause( 204, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 8, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.70/1.10 , clause( 206, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 10, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.70/1.10 , clause( 208, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 11, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.70/1.10 product1( X, Y, 'e_1' ), product1( X, Y, 'e_2' ), product1( X, Y, 'e_3' )
% 0.70/1.10 ] )
% 0.70/1.10 , clause( 209, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.70/1.10 product1( X, Y, 'e_1' ), product1( X, Y, 'e_2' ), product1( X, Y, 'e_3' )
% 0.70/1.10 ] )
% 0.70/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.10 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 13, [ equalish( Y, T ), ~( product1( X, Y, Z ) ), ~( product1( X, T
% 0.70/1.10 , Z ) ) ] )
% 0.70/1.10 , clause( 211, [ ~( product1( X, Y, Z ) ), ~( product1( X, T, Z ) ),
% 0.70/1.10 equalish( Y, T ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.70/1.10 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 14, [ equalish( X, T ), ~( product1( X, Y, Z ) ), ~( product1( T, Y
% 0.70/1.10 , Z ) ) ] )
% 0.70/1.10 , clause( 212, [ ~( product1( X, Y, Z ) ), ~( product1( T, Y, Z ) ),
% 0.70/1.10 equalish( X, T ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.70/1.10 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 15, [ product1( X, X, X ) ] )
% 0.70/1.10 , clause( 213, [ product1( X, X, X ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 17, [ equalish( Z, T ), ~( product2( X, Y, Z ) ), ~( product2( X, Y
% 0.70/1.10 , T ) ) ] )
% 0.70/1.10 , clause( 215, [ ~( product2( X, Y, Z ) ), ~( product2( X, Y, T ) ),
% 0.70/1.10 equalish( Z, T ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.70/1.10 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 18, [ equalish( Y, T ), ~( product2( X, Y, Z ) ), ~( product2( X, T
% 0.70/1.10 , Z ) ) ] )
% 0.70/1.10 , clause( 216, [ ~( product2( X, Y, Z ) ), ~( product2( X, T, Z ) ),
% 0.70/1.10 equalish( Y, T ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.70/1.10 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 20, [ product2( X, X, X ) ] )
% 0.70/1.10 , clause( 218, [ product2( X, X, X ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 21, [ ~( product1( X, Y, Z ) ), ~( product1( Z, Y, T ) ), product2(
% 0.70/1.10 T, X, Y ) ] )
% 0.70/1.10 , clause( 219, [ ~( product1( X, Y, Z ) ), ~( product1( Z, Y, T ) ),
% 0.70/1.10 product2( T, X, Y ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.70/1.10 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 resolution(
% 0.70/1.10 clause( 290, [ equalish( X, Y ), ~( product1( X, Y, X ) ) ] )
% 0.70/1.10 , clause( 13, [ equalish( Y, T ), ~( product1( X, Y, Z ) ), ~( product1( X
% 0.70/1.10 , T, Z ) ) ] )
% 0.70/1.10 , 1, clause( 15, [ product1( X, X, X ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, X ), :=( T, Y )] ),
% 0.70/1.10 substitution( 1, [ :=( X, X )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 42, [ equalish( X, Y ), ~( product1( X, Y, X ) ) ] )
% 0.70/1.10 , clause( 290, [ equalish( X, Y ), ~( product1( X, Y, X ) ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.10 ), ==>( 1, 1 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 resolution(
% 0.70/1.10 clause( 294, [ equalish( 'e_3', X ), ~( 'group_element'( 'e_3' ) ), ~(
% 0.70/1.10 'group_element'( X ) ), product1( 'e_3', X, 'e_1' ), product1( 'e_3', X,
% 0.70/1.10 'e_2' ) ] )
% 0.70/1.10 , clause( 42, [ equalish( X, Y ), ~( product1( X, Y, X ) ) ] )
% 0.70/1.10 , 1, clause( 11, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.70/1.10 product1( X, Y, 'e_1' ), product1( X, Y, 'e_2' ), product1( X, Y, 'e_3' )
% 0.70/1.10 ] )
% 0.70/1.10 , 4, substitution( 0, [ :=( X, 'e_3' ), :=( Y, X )] ), substitution( 1, [
% 0.70/1.10 :=( X, 'e_3' ), :=( Y, X )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 resolution(
% 0.70/1.10 clause( 299, [ equalish( 'e_3', X ), ~( 'group_element'( X ) ), product1(
% 0.70/1.10 'e_3', X, 'e_1' ), product1( 'e_3', X, 'e_2' ) ] )
% 0.70/1.10 , clause( 294, [ equalish( 'e_3', X ), ~( 'group_element'( 'e_3' ) ), ~(
% 0.70/1.10 'group_element'( X ) ), product1( 'e_3', X, 'e_1' ), product1( 'e_3', X,
% 0.70/1.10 'e_2' ) ] )
% 0.70/1.10 , 1, clause( 4, [ 'group_element'( 'e_3' ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 44, [ ~( 'group_element'( X ) ), equalish( 'e_3', X ), product1(
% 0.70/1.10 'e_3', X, 'e_1' ), product1( 'e_3', X, 'e_2' ) ] )
% 0.70/1.10 , clause( 299, [ equalish( 'e_3', X ), ~( 'group_element'( X ) ), product1(
% 0.70/1.10 'e_3', X, 'e_1' ), product1( 'e_3', X, 'e_2' ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.70/1.10 0 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 resolution(
% 0.70/1.10 clause( 301, [ equalish( X, Y ), ~( product1( X, Y, Y ) ) ] )
% 0.70/1.10 , clause( 14, [ equalish( X, T ), ~( product1( X, Y, Z ) ), ~( product1( T
% 0.70/1.10 , Y, Z ) ) ] )
% 0.70/1.10 , 2, clause( 15, [ product1( X, X, X ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, Y )] ),
% 0.70/1.10 substitution( 1, [ :=( X, Y )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 53, [ equalish( X, Y ), ~( product1( X, Y, Y ) ) ] )
% 0.70/1.10 , clause( 301, [ equalish( X, Y ), ~( product1( X, Y, Y ) ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.10 ), ==>( 1, 1 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 resolution(
% 0.70/1.10 clause( 302, [ equalish( X, Y ), ~( product2( X, Y, X ) ) ] )
% 0.70/1.10 , clause( 18, [ equalish( Y, T ), ~( product2( X, Y, Z ) ), ~( product2( X
% 0.70/1.10 , T, Z ) ) ] )
% 0.70/1.10 , 1, clause( 20, [ product2( X, X, X ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, X ), :=( T, Y )] ),
% 0.70/1.10 substitution( 1, [ :=( X, X )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 58, [ equalish( X, Y ), ~( product2( X, Y, X ) ) ] )
% 0.70/1.10 , clause( 302, [ equalish( X, Y ), ~( product2( X, Y, X ) ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.10 ), ==>( 1, 1 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 resolution(
% 0.70/1.10 clause( 304, [ equalish( X, Y ), ~( product2( X, X, Y ) ) ] )
% 0.70/1.10 , clause( 17, [ equalish( Z, T ), ~( product2( X, Y, Z ) ), ~( product2( X
% 0.70/1.10 , Y, T ) ) ] )
% 0.70/1.10 , 1, clause( 20, [ product2( X, X, X ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, X ), :=( T, Y )] ),
% 0.70/1.10 substitution( 1, [ :=( X, X )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 72, [ equalish( X, Y ), ~( product2( X, X, Y ) ) ] )
% 0.70/1.10 , clause( 304, [ equalish( X, Y ), ~( product2( X, X, Y ) ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.10 ), ==>( 1, 1 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 resolution(
% 0.70/1.10 clause( 306, [ equalish( X, Y ), ~( product1( X, Y, Z ) ), ~( product1( Z,
% 0.70/1.10 Y, X ) ) ] )
% 0.70/1.10 , clause( 72, [ equalish( X, Y ), ~( product2( X, X, Y ) ) ] )
% 0.70/1.10 , 1, clause( 21, [ ~( product1( X, Y, Z ) ), ~( product1( Z, Y, T ) ),
% 0.70/1.10 product2( T, X, Y ) ] )
% 0.70/1.10 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.70/1.10 , X ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 75, [ equalish( X, Y ), ~( product1( X, Y, Z ) ), ~( product1( Z, Y
% 0.70/1.10 , X ) ) ] )
% 0.70/1.10 , clause( 306, [ equalish( X, Y ), ~( product1( X, Y, Z ) ), ~( product1( Z
% 0.70/1.10 , Y, X ) ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.70/1.10 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 resolution(
% 0.70/1.10 clause( 308, [ equalish( X, Y ), ~( product1( Y, X, Z ) ), ~( product1( Z,
% 0.70/1.10 X, X ) ) ] )
% 0.70/1.10 , clause( 58, [ equalish( X, Y ), ~( product2( X, Y, X ) ) ] )
% 0.70/1.10 , 1, clause( 21, [ ~( product1( X, Y, Z ) ), ~( product1( Z, Y, T ) ),
% 0.70/1.10 product2( T, X, Y ) ] )
% 0.70/1.10 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.70/1.10 , Y ), :=( Y, X ), :=( Z, Z ), :=( T, X )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 79, [ equalish( Y, X ), ~( product1( X, Y, Z ) ), ~( product1( Z, Y
% 0.70/1.10 , Y ) ) ] )
% 0.70/1.10 , clause( 308, [ equalish( X, Y ), ~( product1( Y, X, Z ) ), ~( product1( Z
% 0.70/1.10 , X, X ) ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.70/1.10 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 resolution(
% 0.70/1.10 clause( 311, [ equalish( 'e_3', 'e_2' ), ~( 'group_element'( 'e_2' ) ),
% 0.70/1.10 equalish( 'e_3', 'e_2' ), product1( 'e_3', 'e_2', 'e_1' ) ] )
% 0.70/1.10 , clause( 53, [ equalish( X, Y ), ~( product1( X, Y, Y ) ) ] )
% 0.70/1.10 , 1, clause( 44, [ ~( 'group_element'( X ) ), equalish( 'e_3', X ),
% 0.70/1.10 product1( 'e_3', X, 'e_1' ), product1( 'e_3', X, 'e_2' ) ] )
% 0.70/1.10 , 3, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_2' )] ), substitution( 1
% 0.70/1.10 , [ :=( X, 'e_2' )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 resolution(
% 0.70/1.10 clause( 314, [ equalish( 'e_3', 'e_2' ), equalish( 'e_3', 'e_2' ), product1(
% 0.70/1.10 'e_3', 'e_2', 'e_1' ) ] )
% 0.70/1.10 , clause( 311, [ equalish( 'e_3', 'e_2' ), ~( 'group_element'( 'e_2' ) ),
% 0.70/1.10 equalish( 'e_3', 'e_2' ), product1( 'e_3', 'e_2', 'e_1' ) ] )
% 0.70/1.10 , 1, clause( 3, [ 'group_element'( 'e_2' ) ] )
% 0.70/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 factor(
% 0.70/1.10 clause( 315, [ equalish( 'e_3', 'e_2' ), product1( 'e_3', 'e_2', 'e_1' ) ]
% 0.70/1.10 )
% 0.70/1.10 , clause( 314, [ equalish( 'e_3', 'e_2' ), equalish( 'e_3', 'e_2' ),
% 0.70/1.10 product1( 'e_3', 'e_2', 'e_1' ) ] )
% 0.70/1.10 , 0, 1, substitution( 0, [] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 176, [ equalish( 'e_3', 'e_2' ), product1( 'e_3', 'e_2', 'e_1' ) ]
% 0.70/1.10 )
% 0.70/1.10 , clause( 315, [ equalish( 'e_3', 'e_2' ), product1( 'e_3', 'e_2', 'e_1' )
% 0.70/1.10 ] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.70/1.10 ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 resolution(
% 0.70/1.10 clause( 316, [ product1( 'e_3', 'e_2', 'e_1' ) ] )
% 0.70/1.10 , clause( 10, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.70/1.10 , 0, clause( 176, [ equalish( 'e_3', 'e_2' ), product1( 'e_3', 'e_2', 'e_1'
% 0.70/1.10 ) ] )
% 0.70/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 178, [ product1( 'e_3', 'e_2', 'e_1' ) ] )
% 0.70/1.10 , clause( 316, [ product1( 'e_3', 'e_2', 'e_1' ) ] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 resolution(
% 0.70/1.10 clause( 317, [ equalish( 'e_2', 'e_3' ), ~( product1( 'e_1', 'e_2', 'e_2' )
% 0.70/1.10 ) ] )
% 0.70/1.10 , clause( 79, [ equalish( Y, X ), ~( product1( X, Y, Z ) ), ~( product1( Z
% 0.70/1.10 , Y, Y ) ) ] )
% 0.70/1.10 , 1, clause( 178, [ product1( 'e_3', 'e_2', 'e_1' ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_2' ), :=( Z, 'e_1' )] ),
% 0.70/1.10 substitution( 1, [] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 resolution(
% 0.70/1.10 clause( 318, [ ~( product1( 'e_1', 'e_2', 'e_2' ) ) ] )
% 0.70/1.10 , clause( 8, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.70/1.10 , 0, clause( 317, [ equalish( 'e_2', 'e_3' ), ~( product1( 'e_1', 'e_2',
% 0.70/1.10 'e_2' ) ) ] )
% 0.70/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 180, [ ~( product1( 'e_1', 'e_2', 'e_2' ) ) ] )
% 0.70/1.10 , clause( 318, [ ~( product1( 'e_1', 'e_2', 'e_2' ) ) ] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 resolution(
% 0.70/1.10 clause( 319, [ equalish( 'e_3', 'e_2' ), ~( product1( 'e_1', 'e_2', 'e_3' )
% 0.70/1.10 ) ] )
% 0.70/1.10 , clause( 75, [ equalish( X, Y ), ~( product1( X, Y, Z ) ), ~( product1( Z
% 0.70/1.10 , Y, X ) ) ] )
% 0.70/1.10 , 1, clause( 178, [ product1( 'e_3', 'e_2', 'e_1' ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_2' ), :=( Z, 'e_1' )] ),
% 0.70/1.10 substitution( 1, [] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 resolution(
% 0.70/1.10 clause( 321, [ ~( product1( 'e_1', 'e_2', 'e_3' ) ) ] )
% 0.70/1.10 , clause( 10, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.70/1.10 , 0, clause( 319, [ equalish( 'e_3', 'e_2' ), ~( product1( 'e_1', 'e_2',
% 0.70/1.10 'e_3' ) ) ] )
% 0.70/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 181, [ ~( product1( 'e_1', 'e_2', 'e_3' ) ) ] )
% 0.70/1.10 , clause( 321, [ ~( product1( 'e_1', 'e_2', 'e_3' ) ) ] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 resolution(
% 0.70/1.10 clause( 323, [ equalish( X, 'e_3' ), ~( product1( X, 'e_2', 'e_1' ) ) ] )
% 0.70/1.10 , clause( 14, [ equalish( X, T ), ~( product1( X, Y, Z ) ), ~( product1( T
% 0.70/1.10 , Y, Z ) ) ] )
% 0.70/1.10 , 2, clause( 178, [ product1( 'e_3', 'e_2', 'e_1' ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_2' ), :=( Z, 'e_1' ), :=( T,
% 0.70/1.10 'e_3' )] ), substitution( 1, [] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 183, [ equalish( X, 'e_3' ), ~( product1( X, 'e_2', 'e_1' ) ) ] )
% 0.70/1.10 , clause( 323, [ equalish( X, 'e_3' ), ~( product1( X, 'e_2', 'e_1' ) ) ]
% 0.70/1.10 )
% 0.70/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.70/1.10 1 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 resolution(
% 0.70/1.10 clause( 324, [ ~( 'group_element'( 'e_1' ) ), ~( 'group_element'( 'e_2' ) )
% 0.70/1.10 , product1( 'e_1', 'e_2', 'e_1' ), product1( 'e_1', 'e_2', 'e_2' ) ] )
% 0.70/1.10 , clause( 181, [ ~( product1( 'e_1', 'e_2', 'e_3' ) ) ] )
% 0.70/1.10 , 0, clause( 11, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.70/1.10 product1( X, Y, 'e_1' ), product1( X, Y, 'e_2' ), product1( X, Y, 'e_3' )
% 0.70/1.10 ] )
% 0.70/1.10 , 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'e_1' ), :=( Y, 'e_2'
% 0.70/1.10 )] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 resolution(
% 0.70/1.10 clause( 325, [ ~( 'group_element'( 'e_2' ) ), product1( 'e_1', 'e_2', 'e_1'
% 0.70/1.10 ), product1( 'e_1', 'e_2', 'e_2' ) ] )
% 0.70/1.10 , clause( 324, [ ~( 'group_element'( 'e_1' ) ), ~( 'group_element'( 'e_2' )
% 0.70/1.10 ), product1( 'e_1', 'e_2', 'e_1' ), product1( 'e_1', 'e_2', 'e_2' ) ] )
% 0.70/1.10 , 0, clause( 2, [ 'group_element'( 'e_1' ) ] )
% 0.70/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 194, [ ~( 'group_element'( 'e_2' ) ), product1( 'e_1', 'e_2', 'e_1'
% 0.70/1.10 ), product1( 'e_1', 'e_2', 'e_2' ) ] )
% 0.70/1.10 , clause( 325, [ ~( 'group_element'( 'e_2' ) ), product1( 'e_1', 'e_2',
% 0.70/1.10 'e_1' ), product1( 'e_1', 'e_2', 'e_2' ) ] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.70/1.10 , 2 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 resolution(
% 0.70/1.10 clause( 326, [ product1( 'e_1', 'e_2', 'e_1' ), product1( 'e_1', 'e_2',
% 0.70/1.10 'e_2' ) ] )
% 0.70/1.10 , clause( 194, [ ~( 'group_element'( 'e_2' ) ), product1( 'e_1', 'e_2',
% 0.70/1.10 'e_1' ), product1( 'e_1', 'e_2', 'e_2' ) ] )
% 0.70/1.10 , 0, clause( 3, [ 'group_element'( 'e_2' ) ] )
% 0.70/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 resolution(
% 0.70/1.10 clause( 327, [ product1( 'e_1', 'e_2', 'e_1' ) ] )
% 0.70/1.10 , clause( 180, [ ~( product1( 'e_1', 'e_2', 'e_2' ) ) ] )
% 0.70/1.10 , 0, clause( 326, [ product1( 'e_1', 'e_2', 'e_1' ), product1( 'e_1', 'e_2'
% 0.70/1.10 , 'e_2' ) ] )
% 0.70/1.10 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 195, [ product1( 'e_1', 'e_2', 'e_1' ) ] )
% 0.70/1.10 , clause( 327, [ product1( 'e_1', 'e_2', 'e_1' ) ] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 resolution(
% 0.70/1.10 clause( 328, [ equalish( 'e_1', 'e_3' ) ] )
% 0.70/1.10 , clause( 183, [ equalish( X, 'e_3' ), ~( product1( X, 'e_2', 'e_1' ) ) ]
% 0.70/1.10 )
% 0.70/1.10 , 1, clause( 195, [ product1( 'e_1', 'e_2', 'e_1' ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 resolution(
% 0.70/1.10 clause( 329, [] )
% 0.70/1.10 , clause( 6, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.70/1.10 , 0, clause( 328, [ equalish( 'e_1', 'e_3' ) ] )
% 0.70/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 196, [] )
% 0.70/1.10 , clause( 329, [] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 end.
% 0.70/1.10
% 0.70/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.10
% 0.70/1.10 Memory use:
% 0.70/1.10
% 0.70/1.10 space for terms: 3229
% 0.70/1.10 space for clauses: 7665
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 clauses generated: 757
% 0.70/1.11 clauses kept: 197
% 0.70/1.11 clauses selected: 105
% 0.70/1.11 clauses deleted: 8
% 0.70/1.11 clauses inuse deleted: 0
% 0.70/1.11
% 0.70/1.11 subsentry: 2320
% 0.70/1.11 literals s-matched: 1789
% 0.70/1.11 literals matched: 1701
% 0.70/1.11 full subsumption: 945
% 0.70/1.11
% 0.70/1.11 checksum: -2127556372
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 Bliksem ended
%------------------------------------------------------------------------------