TSTP Solution File: GRP038-3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP038-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n003.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 07:34:30 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
% 0.03/0.12 % Problem : GRP038-3 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Tue Jun 14 06:53:25 EDT 2022
% 0.13/0.35 % 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 [ product( identity, X, X ) ],
% 0.70/1.10 [ product( X, identity, X ) ],
% 0.70/1.10 [ product( inverse( X ), X, identity ) ],
% 0.70/1.10 [ product( X, inverse( X ), identity ) ],
% 0.70/1.10 [ product( X, Y, multiply( X, Y ) ) ],
% 0.70/1.10 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 0.70/1.10 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( Z, T, W
% 0.70/1.10 ) ), product( X, U, W ) ],
% 0.70/1.10 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( X, U, W
% 0.70/1.10 ) ), product( Z, T, W ) ],
% 0.70/1.10 [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ), ~( product(
% 0.70/1.10 X, inverse( Y ), Z ) ), 'subgroup_member'( Z ) ],
% 0.70/1.10 [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( inverse( X ) ) ],
% 0.70/1.10 [ 'subgroup_member'( identity ) ],
% 0.70/1.10 [ 'subgroup_member'( a ) ],
% 0.70/1.10 [ 'subgroup_member'( b ) ],
% 0.70/1.10 [ product( a, inverse( b ), c ) ],
% 0.70/1.10 [ ~( 'subgroup_member'( c ) ) ]
% 0.70/1.10 ] .
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 percentage equality = 0.037037, percentage horn = 1.000000
% 0.70/1.10 This is a problem with some equality
% 0.70/1.10
% 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 = 1
% 0.70/1.10 useeqrefl = 1
% 0.70/1.10 useeqfact = 1
% 0.70/1.10 usefactor = 1
% 0.70/1.10 usesimpsplitting = 0
% 0.70/1.10 usesimpdemod = 5
% 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 = eqrewr
% 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] = extend the termordering, first sorting on arguments
% 0.70/1.10
% 0.70/1.10 termordering = kbo
% 0.70/1.10
% 0.70/1.10 litapriori = 0
% 0.70/1.10 termapriori = 1
% 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 = negord
% 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:29, a:1, s:1, b:0),
% 0.70/1.10 ! [4, 1] (w:0, o:22, 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 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.70/1.10 product [41, 3] (w:1, o:55, a:1, s:1, b:0),
% 0.70/1.10 inverse [42, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.70/1.10 multiply [44, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.70/1.10 'subgroup_member' [50, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.70/1.10 a [53, 0] (w:1, o:19, a:1, s:1, b:0),
% 0.70/1.10 b [54, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.70/1.10 c [55, 0] (w:1, o:21, 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( 8, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ), ~(
% 0.70/1.10 product( X, inverse( Y ), Z ) ), 'subgroup_member'( Z ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 11, [ 'subgroup_member'( a ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 12, [ 'subgroup_member'( b ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 13, [ product( a, inverse( b ), c ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 14, [ ~( 'subgroup_member'( c ) ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 316, [ ~( 'subgroup_member'( b ) ), 'subgroup_member'( c ) ] )
% 0.70/1.10 .
% 0.70/1.10 clause( 335, [] )
% 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( 337, [ product( identity, X, X ) ] )
% 0.70/1.10 , clause( 338, [ product( X, identity, X ) ] )
% 0.70/1.10 , clause( 339, [ product( inverse( X ), X, identity ) ] )
% 0.70/1.10 , clause( 340, [ product( X, inverse( X ), identity ) ] )
% 0.70/1.10 , clause( 341, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.70/1.10 , clause( 342, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T
% 0.70/1.10 ) ] )
% 0.70/1.10 , clause( 343, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.70/1.10 product( Z, T, W ) ), product( X, U, W ) ] )
% 0.70/1.10 , clause( 344, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.70/1.10 product( X, U, W ) ), product( Z, T, W ) ] )
% 0.70/1.10 , clause( 345, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ),
% 0.70/1.10 ~( product( X, inverse( Y ), Z ) ), 'subgroup_member'( Z ) ] )
% 0.70/1.10 , clause( 346, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( inverse( X
% 0.70/1.10 ) ) ] )
% 0.70/1.10 , clause( 347, [ 'subgroup_member'( identity ) ] )
% 0.70/1.10 , clause( 348, [ 'subgroup_member'( a ) ] )
% 0.70/1.10 , clause( 349, [ 'subgroup_member'( b ) ] )
% 0.70/1.10 , clause( 350, [ product( a, inverse( b ), c ) ] )
% 0.70/1.10 , clause( 351, [ ~( 'subgroup_member'( c ) ) ] )
% 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( 8, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ), ~(
% 0.70/1.10 product( X, inverse( Y ), Z ) ), 'subgroup_member'( Z ) ] )
% 0.70/1.10 , clause( 345, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ),
% 0.70/1.10 ~( product( X, inverse( Y ), Z ) ), 'subgroup_member'( Z ) ] )
% 0.70/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.70/1.10 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 0.70/1.10 ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 11, [ 'subgroup_member'( a ) ] )
% 0.70/1.10 , clause( 348, [ 'subgroup_member'( a ) ] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 12, [ 'subgroup_member'( b ) ] )
% 0.70/1.10 , clause( 349, [ 'subgroup_member'( b ) ] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 13, [ product( a, inverse( b ), c ) ] )
% 0.70/1.10 , clause( 350, [ product( a, inverse( b ), c ) ] )
% 0.70/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 subsumption(
% 0.70/1.10 clause( 14, [ ~( 'subgroup_member'( c ) ) ] )
% 0.70/1.10 , clause( 351, [ ~( 'subgroup_member'( c ) ) ] )
% 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( 402, [ ~( 'subgroup_member'( a ) ), ~( 'subgroup_member'( b ) ),
% 0.70/1.10 'subgroup_member'( c ) ] )
% 0.70/1.10 , clause( 8, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ),
% 0.70/1.10 ~( product( X, inverse( Y ), Z ) ), 'subgroup_member'( Z ) ] )
% 0.70/1.10 , 2, clause( 13, [ product( a, inverse( b ), c ) ] )
% 0.70/1.10 , 0, substitution( 0, [ :=( X, a ), :=( Y, b ), :=( Z, c )] ),
% 0.70/1.10 substitution( 1, [] )).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 resolution(
% 0.70/1.10 clause( 403, [ ~( 'subgroup_member'( b ) ), 'subgroup_member'( c ) ] )
% 0.70/1.10 , clause( 402, [ ~( 'subgroup_member'( a ) ), ~( 'subgroup_member'( b ) ),
% 0.70/1.10 'subgroup_member'( c ) ] )
% 0.70/1.10 , 0, clause( 11, [ 'subgroup_member'( a ) ] )
% 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( 316, [ ~( 'subgroup_member'( b ) ), 'subgroup_member'( c ) ] )
% 0.70/1.10 , clause( 403, [ ~( 'subgroup_member'( b ) ), 'subgroup_member'( c ) ] )
% 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( 404, [ 'subgroup_member'( c ) ] )
% 0.70/1.10 , clause( 316, [ ~( 'subgroup_member'( b ) ), 'subgroup_member'( c ) ] )
% 0.70/1.10 , 0, clause( 12, [ 'subgroup_member'( b ) ] )
% 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( 405, [] )
% 0.70/1.10 , clause( 14, [ ~( 'subgroup_member'( c ) ) ] )
% 0.70/1.10 , 0, clause( 404, [ 'subgroup_member'( c ) ] )
% 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( 335, [] )
% 0.70/1.10 , clause( 405, [] )
% 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: 4513
% 0.70/1.10 space for clauses: 15275
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 clauses generated: 746
% 0.70/1.10 clauses kept: 336
% 0.70/1.10 clauses selected: 31
% 0.70/1.10 clauses deleted: 1
% 0.70/1.10 clauses inuse deleted: 0
% 0.70/1.10
% 0.70/1.10 subsentry: 3096
% 0.70/1.10 literals s-matched: 1096
% 0.70/1.10 literals matched: 1066
% 0.70/1.10 full subsumption: 780
% 0.70/1.10
% 0.70/1.10 checksum: 43590142
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Bliksem ended
%------------------------------------------------------------------------------