TSTP Solution File: GRP125-1.003 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP125-1.003 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.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 07:35:08 EDT 2022
% Result : Unsatisfiable 0.42s 1.05s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GRP125-1.003 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n029.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 23:23:25 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.42/1.05 *** allocated 10000 integers for termspace/termends
% 0.42/1.05 *** allocated 10000 integers for clauses
% 0.42/1.05 *** allocated 10000 integers for justifications
% 0.42/1.05 Bliksem 1.12
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 Automatic Strategy Selection
% 0.42/1.05
% 0.42/1.05 Clauses:
% 0.42/1.05 [
% 0.42/1.05 [ 'group_element'( 'e_1' ) ],
% 0.42/1.05 [ 'group_element'( 'e_2' ) ],
% 0.42/1.05 [ 'group_element'( 'e_3' ) ],
% 0.42/1.05 [ ~( equalish( 'e_1', 'e_2' ) ) ],
% 0.42/1.05 [ ~( equalish( 'e_1', 'e_3' ) ) ],
% 0.42/1.05 [ ~( equalish( 'e_2', 'e_1' ) ) ],
% 0.42/1.05 [ ~( equalish( 'e_2', 'e_3' ) ) ],
% 0.42/1.05 [ ~( equalish( 'e_3', 'e_1' ) ) ],
% 0.42/1.05 [ ~( equalish( 'e_3', 'e_2' ) ) ],
% 0.42/1.05 [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ), product( X, Y,
% 0.42/1.05 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ) ],
% 0.42/1.05 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish( Z, T ) ]
% 0.42/1.05 ,
% 0.42/1.05 [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish( Y, T ) ]
% 0.42/1.05 ,
% 0.42/1.05 [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish( X, T ) ]
% 0.42/1.05 ,
% 0.42/1.05 [ product( X, X, X ) ],
% 0.42/1.05 [ ~( product( X, Y, Z ) ), ~( product( Y, X, T ) ), product( Z, T, X ) ]
% 0.42/1.05
% 0.42/1.05 ] .
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 percentage equality = 0.000000, percentage horn = 0.933333
% 0.42/1.05 This is a near-Horn, non-equality problem
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 Options Used:
% 0.42/1.05
% 0.42/1.05 useres = 1
% 0.42/1.05 useparamod = 0
% 0.42/1.05 useeqrefl = 0
% 0.42/1.05 useeqfact = 0
% 0.42/1.05 usefactor = 1
% 0.42/1.05 usesimpsplitting = 0
% 0.42/1.05 usesimpdemod = 0
% 0.42/1.05 usesimpres = 4
% 0.42/1.05
% 0.42/1.05 resimpinuse = 1000
% 0.42/1.05 resimpclauses = 20000
% 0.42/1.05 substype = standard
% 0.42/1.05 backwardsubs = 1
% 0.42/1.05 selectoldest = 5
% 0.42/1.05
% 0.42/1.05 litorderings [0] = split
% 0.42/1.05 litorderings [1] = liftord
% 0.42/1.05
% 0.42/1.05 termordering = none
% 0.42/1.05
% 0.42/1.05 litapriori = 1
% 0.42/1.05 termapriori = 0
% 0.42/1.05 litaposteriori = 0
% 0.42/1.05 termaposteriori = 0
% 0.42/1.05 demodaposteriori = 0
% 0.42/1.05 ordereqreflfact = 0
% 0.42/1.05
% 0.42/1.05 litselect = negative
% 0.42/1.05
% 0.42/1.05 maxweight = 30000
% 0.42/1.05 maxdepth = 30000
% 0.42/1.05 maxlength = 115
% 0.42/1.05 maxnrvars = 195
% 0.42/1.05 excuselevel = 0
% 0.42/1.05 increasemaxweight = 0
% 0.42/1.05
% 0.42/1.05 maxselected = 10000000
% 0.42/1.05 maxnrclauses = 10000000
% 0.42/1.05
% 0.42/1.05 showgenerated = 0
% 0.42/1.05 showkept = 0
% 0.42/1.05 showselected = 0
% 0.42/1.05 showdeleted = 0
% 0.42/1.05 showresimp = 1
% 0.42/1.05 showstatus = 2000
% 0.42/1.05
% 0.42/1.05 prologoutput = 1
% 0.42/1.05 nrgoals = 5000000
% 0.42/1.05 totalproof = 1
% 0.42/1.05
% 0.42/1.05 Symbols occurring in the translation:
% 0.42/1.05
% 0.42/1.05 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.42/1.05 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 0.42/1.05 ! [4, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.42/1.05 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.05 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.05 'e_1' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.42/1.05 'group_element' [40, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.42/1.05 'e_2' [41, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.42/1.05 'e_3' [42, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.42/1.05 equalish [43, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.42/1.05 product [46, 3] (w:1, o:50, a:1, s:1, b:0).
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 Starting Search:
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 Bliksems!, er is een bewijs:
% 0.42/1.05 % SZS status Unsatisfiable
% 0.42/1.05 % SZS output start Refutation
% 0.42/1.05
% 0.42/1.05 clause( 1, [ 'group_element'( 'e_2' ) ] )
% 0.42/1.05 .
% 0.42/1.05 clause( 2, [ 'group_element'( 'e_3' ) ] )
% 0.42/1.05 .
% 0.42/1.05 clause( 5, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.42/1.05 .
% 0.42/1.05 clause( 6, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.42/1.05 .
% 0.42/1.05 clause( 8, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.42/1.05 .
% 0.42/1.05 clause( 9, [ ~( 'group_element'( X ) ), product( X, Y, 'e_3' ), product( X
% 0.42/1.05 , Y, 'e_1' ), product( X, Y, 'e_2' ), ~( 'group_element'( Y ) ) ] )
% 0.42/1.05 .
% 0.42/1.05 clause( 10, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y,
% 0.42/1.05 T ) ) ] )
% 0.42/1.05 .
% 0.42/1.05 clause( 11, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T,
% 0.42/1.05 Z ) ) ] )
% 0.42/1.05 .
% 0.42/1.05 clause( 12, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y,
% 0.42/1.05 Z ) ) ] )
% 0.42/1.05 .
% 0.42/1.05 clause( 13, [ product( X, X, X ) ] )
% 0.42/1.05 .
% 0.42/1.05 clause( 14, [ ~( product( X, Y, Z ) ), product( Z, T, X ), ~( product( Y, X
% 0.42/1.05 , T ) ) ] )
% 0.42/1.05 .
% 0.42/1.05 clause( 21, [ product( X, 'e_2', 'e_3' ), product( X, 'e_2', 'e_1' ),
% 0.42/1.05 product( X, 'e_2', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.42/1.05 .
% 0.42/1.05 clause( 22, [ product( X, 'e_3', 'e_3' ), product( X, 'e_3', 'e_1' ),
% 0.42/1.05 product( X, 'e_3', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.42/1.05 .
% 0.42/1.05 clause( 24, [ equalish( X, Y ), ~( product( Y, Y, X ) ) ] )
% 0.42/1.05 .
% 0.42/1.05 clause( 25, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.42/1.05 .
% 0.42/1.05 clause( 26, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.42/1.05 .
% 0.42/1.05 clause( 41, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_2'
% 0.42/1.05 ), product( 'e_3', 'e_2', 'e_3' ) ] )
% 0.42/1.05 .
% 0.42/1.05 clause( 47, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_2'
% 0.42/1.05 ) ] )
% 0.42/1.05 .
% 0.42/1.05 clause( 49, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2'
% 0.42/1.05 ), product( 'e_2', 'e_3', 'e_3' ) ] )
% 0.42/1.05 .
% 0.42/1.05 clause( 53, [ product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.42/1.05 .
% 0.42/1.05 clause( 54, [ product( X, 'e_1', 'e_2' ), ~( product( 'e_2', 'e_3', X ) ) ]
% 0.42/1.05 )
% 0.42/1.05 .
% 0.42/1.05 clause( 70, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2'
% 0.42/1.05 ) ] )
% 0.42/1.05 .
% 0.42/1.05 clause( 74, [ product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.42/1.05 .
% 0.42/1.05 clause( 75, [ product( 'e_1', 'e_1', 'e_2' ) ] )
% 0.42/1.05 .
% 0.42/1.05 clause( 87, [] )
% 0.42/1.05 .
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 % SZS output end Refutation
% 0.42/1.05 found a proof!
% 0.42/1.05
% 0.42/1.05 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.05
% 0.42/1.05 initialclauses(
% 0.42/1.05 [ clause( 89, [ 'group_element'( 'e_1' ) ] )
% 0.42/1.05 , clause( 90, [ 'group_element'( 'e_2' ) ] )
% 0.42/1.05 , clause( 91, [ 'group_element'( 'e_3' ) ] )
% 0.42/1.05 , clause( 92, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.42/1.05 , clause( 93, [ ~( equalish( 'e_1', 'e_3' ) ) ] )
% 0.42/1.05 , clause( 94, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.42/1.05 , clause( 95, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.42/1.05 , clause( 96, [ ~( equalish( 'e_3', 'e_1' ) ) ] )
% 0.42/1.05 , clause( 97, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.42/1.05 , clause( 98, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.42/1.05 product( X, Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ) ]
% 0.42/1.05 )
% 0.42/1.05 , clause( 99, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish(
% 0.42/1.05 Z, T ) ] )
% 0.42/1.05 , clause( 100, [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish(
% 0.42/1.05 Y, T ) ] )
% 0.42/1.05 , clause( 101, [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish(
% 0.42/1.05 X, T ) ] )
% 0.42/1.05 , clause( 102, [ product( X, X, X ) ] )
% 0.42/1.05 , clause( 103, [ ~( product( X, Y, Z ) ), ~( product( Y, X, T ) ), product(
% 0.42/1.05 Z, T, X ) ] )
% 0.42/1.05 ] ).
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 subsumption(
% 0.42/1.05 clause( 1, [ 'group_element'( 'e_2' ) ] )
% 0.42/1.05 , clause( 90, [ 'group_element'( 'e_2' ) ] )
% 0.42/1.05 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 subsumption(
% 0.42/1.05 clause( 2, [ 'group_element'( 'e_3' ) ] )
% 0.42/1.05 , clause( 91, [ 'group_element'( 'e_3' ) ] )
% 0.42/1.05 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 subsumption(
% 0.42/1.05 clause( 5, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.42/1.05 , clause( 94, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.42/1.05 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 subsumption(
% 0.42/1.05 clause( 6, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.42/1.05 , clause( 95, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.42/1.05 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 subsumption(
% 0.42/1.05 clause( 8, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.42/1.05 , clause( 97, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.42/1.05 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 subsumption(
% 0.42/1.05 clause( 9, [ ~( 'group_element'( X ) ), product( X, Y, 'e_3' ), product( X
% 0.42/1.05 , Y, 'e_1' ), product( X, Y, 'e_2' ), ~( 'group_element'( Y ) ) ] )
% 0.42/1.05 , clause( 98, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.42/1.05 product( X, Y, 'e_1' ), product( X, Y, 'e_2' ), product( X, Y, 'e_3' ) ]
% 0.42/1.05 )
% 0.42/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.05 ), ==>( 1, 4 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 1 )] ) ).
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 subsumption(
% 0.42/1.05 clause( 10, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y,
% 0.42/1.05 T ) ) ] )
% 0.42/1.05 , clause( 99, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish(
% 0.42/1.05 Z, T ) ] )
% 0.42/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.42/1.05 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 subsumption(
% 0.42/1.05 clause( 11, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T,
% 0.42/1.05 Z ) ) ] )
% 0.42/1.05 , clause( 100, [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish(
% 0.42/1.05 Y, T ) ] )
% 0.42/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.42/1.05 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 subsumption(
% 0.42/1.05 clause( 12, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y,
% 0.42/1.05 Z ) ) ] )
% 0.42/1.05 , clause( 101, [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish(
% 0.42/1.05 X, T ) ] )
% 0.42/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.42/1.05 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 subsumption(
% 0.42/1.05 clause( 13, [ product( X, X, X ) ] )
% 0.42/1.05 , clause( 102, [ product( X, X, X ) ] )
% 0.42/1.05 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 subsumption(
% 0.42/1.05 clause( 14, [ ~( product( X, Y, Z ) ), product( Z, T, X ), ~( product( Y, X
% 0.42/1.05 , T ) ) ] )
% 0.42/1.05 , clause( 103, [ ~( product( X, Y, Z ) ), ~( product( Y, X, T ) ), product(
% 0.42/1.05 Z, T, X ) ] )
% 0.42/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.42/1.05 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 resolution(
% 0.42/1.05 clause( 124, [ ~( 'group_element'( X ) ), product( X, 'e_2', 'e_3' ),
% 0.42/1.05 product( X, 'e_2', 'e_1' ), product( X, 'e_2', 'e_2' ) ] )
% 0.42/1.05 , clause( 9, [ ~( 'group_element'( X ) ), product( X, Y, 'e_3' ), product(
% 0.42/1.05 X, Y, 'e_1' ), product( X, Y, 'e_2' ), ~( 'group_element'( Y ) ) ] )
% 0.42/1.05 , 4, clause( 1, [ 'group_element'( 'e_2' ) ] )
% 0.42/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_2' )] ), substitution( 1, [] )
% 0.42/1.05 ).
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 subsumption(
% 0.42/1.05 clause( 21, [ product( X, 'e_2', 'e_3' ), product( X, 'e_2', 'e_1' ),
% 0.42/1.05 product( X, 'e_2', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.42/1.05 , clause( 124, [ ~( 'group_element'( X ) ), product( X, 'e_2', 'e_3' ),
% 0.42/1.05 product( X, 'e_2', 'e_1' ), product( X, 'e_2', 'e_2' ) ] )
% 0.42/1.05 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 0.42/1.05 0 ), ==>( 2, 1 ), ==>( 3, 2 )] ) ).
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 resolution(
% 0.42/1.05 clause( 126, [ ~( 'group_element'( X ) ), product( X, 'e_3', 'e_3' ),
% 0.42/1.05 product( X, 'e_3', 'e_1' ), product( X, 'e_3', 'e_2' ) ] )
% 0.42/1.05 , clause( 9, [ ~( 'group_element'( X ) ), product( X, Y, 'e_3' ), product(
% 0.42/1.05 X, Y, 'e_1' ), product( X, Y, 'e_2' ), ~( 'group_element'( Y ) ) ] )
% 0.42/1.05 , 4, clause( 2, [ 'group_element'( 'e_3' ) ] )
% 0.42/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_3' )] ), substitution( 1, [] )
% 0.42/1.05 ).
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 subsumption(
% 0.42/1.05 clause( 22, [ product( X, 'e_3', 'e_3' ), product( X, 'e_3', 'e_1' ),
% 0.42/1.05 product( X, 'e_3', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.42/1.05 , clause( 126, [ ~( 'group_element'( X ) ), product( X, 'e_3', 'e_3' ),
% 0.42/1.05 product( X, 'e_3', 'e_1' ), product( X, 'e_3', 'e_2' ) ] )
% 0.42/1.05 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 0.42/1.05 0 ), ==>( 2, 1 ), ==>( 3, 2 )] ) ).
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 resolution(
% 0.42/1.05 clause( 128, [ equalish( X, Y ), ~( product( Y, Y, X ) ) ] )
% 0.42/1.05 , clause( 10, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y
% 0.42/1.05 , T ) ) ] )
% 0.42/1.05 , 2, clause( 13, [ product( X, X, X ) ] )
% 0.42/1.05 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Y ), :=( Z, X ), :=( T, Y )] ),
% 0.42/1.05 substitution( 1, [ :=( X, Y )] )).
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 subsumption(
% 0.42/1.05 clause( 24, [ equalish( X, Y ), ~( product( Y, Y, X ) ) ] )
% 0.42/1.05 , clause( 128, [ equalish( X, Y ), ~( product( Y, Y, X ) ) ] )
% 0.42/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.05 ), ==>( 1, 1 )] ) ).
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 resolution(
% 0.42/1.05 clause( 130, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.42/1.05 , clause( 12, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.42/1.05 , Z ) ) ] )
% 0.42/1.05 , 2, clause( 13, [ product( X, X, X ) ] )
% 0.42/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, Y )] ),
% 0.42/1.05 substitution( 1, [ :=( X, Y )] )).
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 subsumption(
% 0.42/1.05 clause( 25, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.42/1.05 , clause( 130, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.42/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.05 ), ==>( 1, 1 )] ) ).
% 0.71/1.05
% 0.71/1.05
% 0.71/1.05 resolution(
% 0.71/1.05 clause( 132, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.71/1.05 , clause( 11, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.71/1.05 , Z ) ) ] )
% 0.71/1.05 , 2, clause( 13, [ product( X, X, X ) ] )
% 0.71/1.05 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Y ), :=( T, Y )] ),
% 0.71/1.05 substitution( 1, [ :=( X, Y )] )).
% 0.71/1.05
% 0.71/1.05
% 0.71/1.05 subsumption(
% 0.71/1.05 clause( 26, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.71/1.05 , clause( 132, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.71/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.05 ), ==>( 1, 1 )] ) ).
% 0.71/1.05
% 0.71/1.05
% 0.71/1.05 resolution(
% 0.71/1.05 clause( 133, [ product( 'e_3', 'e_2', 'e_3' ), product( 'e_3', 'e_2', 'e_1'
% 0.71/1.05 ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.71/1.05 , clause( 21, [ product( X, 'e_2', 'e_3' ), product( X, 'e_2', 'e_1' ),
% 0.71/1.05 product( X, 'e_2', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.71/1.05 , 3, clause( 2, [ 'group_element'( 'e_3' ) ] )
% 0.71/1.05 , 0, substitution( 0, [ :=( X, 'e_3' )] ), substitution( 1, [] )).
% 0.71/1.05
% 0.71/1.05
% 0.71/1.05 subsumption(
% 0.71/1.05 clause( 41, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_2'
% 0.71/1.05 ), product( 'e_3', 'e_2', 'e_3' ) ] )
% 0.71/1.05 , clause( 133, [ product( 'e_3', 'e_2', 'e_3' ), product( 'e_3', 'e_2',
% 0.71/1.05 'e_1' ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.71/1.05 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.71/1.05 , 1 )] ) ).
% 0.71/1.05
% 0.71/1.05
% 0.71/1.05 resolution(
% 0.71/1.05 clause( 134, [ equalish( 'e_2', 'e_3' ), product( 'e_3', 'e_2', 'e_1' ),
% 0.71/1.05 product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.71/1.05 , clause( 26, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.71/1.05 , 1, clause( 41, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2',
% 0.71/1.05 'e_2' ), product( 'e_3', 'e_2', 'e_3' ) ] )
% 0.71/1.05 , 2, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_3' )] ), substitution( 1
% 0.71/1.05 , [] )).
% 0.71/1.05
% 0.71/1.05
% 0.71/1.05 resolution(
% 0.71/1.05 clause( 135, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_2'
% 0.71/1.05 ) ] )
% 0.71/1.05 , clause( 6, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.71/1.05 , 0, clause( 134, [ equalish( 'e_2', 'e_3' ), product( 'e_3', 'e_2', 'e_1'
% 0.71/1.05 ), product( 'e_3', 'e_2', 'e_2' ) ] )
% 0.71/1.05 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.71/1.05
% 0.71/1.05
% 0.71/1.05 subsumption(
% 0.71/1.05 clause( 47, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2', 'e_2'
% 0.71/1.05 ) ] )
% 0.71/1.05 , clause( 135, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2',
% 0.71/1.05 'e_2' ) ] )
% 0.71/1.05 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.71/1.05 ).
% 0.71/1.05
% 0.71/1.05
% 0.71/1.05 resolution(
% 0.71/1.05 clause( 136, [ product( 'e_2', 'e_3', 'e_3' ), product( 'e_2', 'e_3', 'e_1'
% 0.71/1.05 ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.71/1.05 , clause( 22, [ product( X, 'e_3', 'e_3' ), product( X, 'e_3', 'e_1' ),
% 0.71/1.05 product( X, 'e_3', 'e_2' ), ~( 'group_element'( X ) ) ] )
% 0.71/1.05 , 3, clause( 1, [ 'group_element'( 'e_2' ) ] )
% 0.71/1.05 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.71/1.05
% 0.71/1.05
% 0.71/1.05 subsumption(
% 0.71/1.05 clause( 49, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2'
% 0.71/1.05 ), product( 'e_2', 'e_3', 'e_3' ) ] )
% 0.71/1.05 , clause( 136, [ product( 'e_2', 'e_3', 'e_3' ), product( 'e_2', 'e_3',
% 0.71/1.05 'e_1' ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.71/1.05 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.71/1.05 , 1 )] ) ).
% 0.71/1.05
% 0.71/1.05
% 0.71/1.05 resolution(
% 0.71/1.05 clause( 137, [ equalish( 'e_3', 'e_2' ), product( 'e_3', 'e_2', 'e_1' ) ]
% 0.71/1.05 )
% 0.71/1.05 , clause( 25, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.71/1.05 , 1, clause( 47, [ product( 'e_3', 'e_2', 'e_1' ), product( 'e_3', 'e_2',
% 0.71/1.05 'e_2' ) ] )
% 0.71/1.05 , 1, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_2' )] ), substitution( 1
% 0.71/1.05 , [] )).
% 0.71/1.05
% 0.71/1.05
% 0.71/1.05 resolution(
% 0.71/1.05 clause( 138, [ product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.71/1.05 , clause( 8, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.71/1.05 , 0, clause( 137, [ equalish( 'e_3', 'e_2' ), product( 'e_3', 'e_2', 'e_1'
% 0.71/1.05 ) ] )
% 0.71/1.05 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.71/1.05
% 0.71/1.05
% 0.71/1.05 subsumption(
% 0.71/1.05 clause( 53, [ product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.71/1.05 , clause( 138, [ product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.71/1.05 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.05
% 0.71/1.05
% 0.71/1.05 resolution(
% 0.71/1.05 clause( 140, [ ~( product( 'e_2', 'e_3', X ) ), product( X, 'e_1', 'e_2' )
% 0.71/1.05 ] )
% 0.71/1.05 , clause( 14, [ ~( product( X, Y, Z ) ), product( Z, T, X ), ~( product( Y
% 0.71/1.05 , X, T ) ) ] )
% 0.71/1.05 , 2, clause( 53, [ product( 'e_3', 'e_2', 'e_1' ) ] )
% 0.71/1.05 , 0, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_3' ), :=( Z, X ), :=( T,
% 0.71/1.05 'e_1' )] ), substitution( 1, [] )).
% 0.71/1.05
% 0.71/1.05
% 0.71/1.05 subsumption(
% 0.71/1.05 clause( 54, [ product( X, 'e_1', 'e_2' ), ~( product( 'e_2', 'e_3', X ) ) ]
% 0.71/1.05 )
% 0.71/1.05 , clause( 140, [ ~( product( 'e_2', 'e_3', X ) ), product( X, 'e_1', 'e_2'
% 0.71/1.05 ) ] )
% 0.71/1.05 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.71/1.05 0 )] ) ).
% 0.71/1.05
% 0.71/1.05
% 0.71/1.05 resolution(
% 0.71/1.05 clause( 141, [ equalish( 'e_2', 'e_3' ), product( 'e_2', 'e_3', 'e_1' ),
% 0.71/1.05 product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.71/1.05 , clause( 25, [ equalish( X, Y ), ~( product( X, Y, Y ) ) ] )
% 0.71/1.05 , 1, clause( 49, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3',
% 0.71/1.05 'e_2' ), product( 'e_2', 'e_3', 'e_3' ) ] )
% 0.71/1.05 , 2, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_3' )] ), substitution( 1
% 0.71/1.05 , [] )).
% 0.71/1.05
% 0.71/1.05
% 0.71/1.05 resolution(
% 0.71/1.05 clause( 142, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2'
% 0.71/1.05 ) ] )
% 0.71/1.05 , clause( 6, [ ~( equalish( 'e_2', 'e_3' ) ) ] )
% 0.71/1.05 , 0, clause( 141, [ equalish( 'e_2', 'e_3' ), product( 'e_2', 'e_3', 'e_1'
% 0.71/1.05 ), product( 'e_2', 'e_3', 'e_2' ) ] )
% 0.71/1.05 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.71/1.05
% 0.71/1.05
% 0.71/1.05 subsumption(
% 0.71/1.05 clause( 70, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3', 'e_2'
% 0.71/1.05 ) ] )
% 0.71/1.05 , clause( 142, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3',
% 0.71/1.05 'e_2' ) ] )
% 0.71/1.05 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.71/1.05 ).
% 0.71/1.05
% 0.71/1.05
% 0.71/1.05 resolution(
% 0.71/1.05 clause( 143, [ equalish( 'e_3', 'e_2' ), product( 'e_2', 'e_3', 'e_1' ) ]
% 0.71/1.05 )
% 0.71/1.05 , clause( 26, [ equalish( X, Y ), ~( product( Y, X, Y ) ) ] )
% 0.71/1.05 , 1, clause( 70, [ product( 'e_2', 'e_3', 'e_1' ), product( 'e_2', 'e_3',
% 0.71/1.05 'e_2' ) ] )
% 0.71/1.05 , 1, substitution( 0, [ :=( X, 'e_3' ), :=( Y, 'e_2' )] ), substitution( 1
% 0.71/1.05 , [] )).
% 0.71/1.05
% 0.71/1.05
% 0.71/1.05 resolution(
% 0.71/1.05 clause( 144, [ product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.71/1.05 , clause( 8, [ ~( equalish( 'e_3', 'e_2' ) ) ] )
% 0.71/1.05 , 0, clause( 143, [ equalish( 'e_3', 'e_2' ), product( 'e_2', 'e_3', 'e_1'
% 0.71/1.05 ) ] )
% 0.71/1.05 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.71/1.05
% 0.71/1.05
% 0.71/1.05 subsumption(
% 0.71/1.05 clause( 74, [ product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.71/1.05 , clause( 144, [ product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.71/1.05 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.05
% 0.71/1.05
% 0.71/1.05 resolution(
% 0.71/1.05 clause( 145, [ product( 'e_1', 'e_1', 'e_2' ) ] )
% 0.71/1.05 , clause( 54, [ product( X, 'e_1', 'e_2' ), ~( product( 'e_2', 'e_3', X ) )
% 0.71/1.05 ] )
% 0.71/1.05 , 1, clause( 74, [ product( 'e_2', 'e_3', 'e_1' ) ] )
% 0.71/1.05 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.71/1.05
% 0.71/1.05
% 0.71/1.05 subsumption(
% 0.71/1.05 clause( 75, [ product( 'e_1', 'e_1', 'e_2' ) ] )
% 0.71/1.05 , clause( 145, [ product( 'e_1', 'e_1', 'e_2' ) ] )
% 0.71/1.05 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.05
% 0.71/1.05
% 0.71/1.05 resolution(
% 0.71/1.05 clause( 146, [ equalish( 'e_2', 'e_1' ) ] )
% 0.71/1.05 , clause( 24, [ equalish( X, Y ), ~( product( Y, Y, X ) ) ] )
% 0.71/1.05 , 1, clause( 75, [ product( 'e_1', 'e_1', 'e_2' ) ] )
% 0.71/1.05 , 0, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_1' )] ), substitution( 1
% 0.71/1.05 , [] )).
% 0.71/1.05
% 0.71/1.05
% 0.71/1.05 resolution(
% 0.71/1.05 clause( 147, [] )
% 0.71/1.05 , clause( 5, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.71/1.05 , 0, clause( 146, [ equalish( 'e_2', 'e_1' ) ] )
% 0.71/1.05 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.71/1.05
% 0.71/1.05
% 0.71/1.05 subsumption(
% 0.71/1.05 clause( 87, [] )
% 0.71/1.05 , clause( 147, [] )
% 0.71/1.05 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.71/1.05
% 0.71/1.05
% 0.71/1.05 end.
% 0.71/1.05
% 0.71/1.05 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.05
% 0.71/1.05 Memory use:
% 0.71/1.05
% 0.71/1.05 space for terms: 1195
% 0.71/1.05 space for clauses: 4422
% 0.71/1.05
% 0.71/1.05
% 0.71/1.05 clauses generated: 143
% 0.71/1.05 clauses kept: 88
% 0.71/1.05 clauses selected: 53
% 0.71/1.05 clauses deleted: 4
% 0.71/1.05 clauses inuse deleted: 0
% 0.71/1.05
% 0.71/1.05 subsentry: 329
% 0.71/1.05 literals s-matched: 187
% 0.71/1.05 literals matched: 136
% 0.71/1.05 full subsumption: 36
% 0.71/1.05
% 0.71/1.05 checksum: -705076530
% 0.71/1.05
% 0.71/1.05
% 0.71/1.05 Bliksem ended
%------------------------------------------------------------------------------