%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP034-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n012.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 07:34:28 EDT 2022
% Result : Unsatisfiable 0.44s 1.07s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP034-3 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n012.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 01:31:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.44/1.07 *** allocated 10000 integers for termspace/termends
% 0.44/1.07 *** allocated 10000 integers for clauses
% 0.44/1.07 *** allocated 10000 integers for justifications
% 0.44/1.07 Bliksem 1.12
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 Automatic Strategy Selection
% 0.44/1.07
% 0.44/1.07 Clauses:
% 0.44/1.07 [
% 0.44/1.07 [ product( identity, X, X ) ],
% 0.44/1.07 [ product( X, identity, X ) ],
% 0.44/1.07 [ product( inverse( X ), X, identity ) ],
% 0.44/1.07 [ product( X, inverse( X ), identity ) ],
% 0.44/1.07 [ product( X, Y, multiply( X, Y ) ) ],
% 0.44/1.07 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 0.44/1.07 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( Z, T, W
% 0.44/1.07 ) ), product( X, U, W ) ],
% 0.44/1.07 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( X, U, W
% 0.44/1.07 ) ), product( Z, T, W ) ],
% 0.44/1.07 [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ), ~( product(
% 0.44/1.07 X, inverse( Y ), Z ) ), 'subgroup_member'( Z ) ],
% 0.44/1.07 [ 'subgroup_member'( a ) ],
% 0.44/1.07 [ ~( 'subgroup_member'( inverse( a ) ) ) ]
% 0.44/1.07 ] .
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 percentage equality = 0.045455, percentage horn = 1.000000
% 0.44/1.07 This is a problem with some equality
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 Options Used:
% 0.44/1.07
% 0.44/1.07 useres = 1
% 0.44/1.07 useparamod = 1
% 0.44/1.07 useeqrefl = 1
% 0.44/1.07 useeqfact = 1
% 0.44/1.07 usefactor = 1
% 0.44/1.07 usesimpsplitting = 0
% 0.44/1.07 usesimpdemod = 5
% 0.44/1.07 usesimpres = 3
% 0.44/1.07
% 0.44/1.07 resimpinuse = 1000
% 0.44/1.07 resimpclauses = 20000
% 0.44/1.07 substype = eqrewr
% 0.44/1.07 backwardsubs = 1
% 0.44/1.07 selectoldest = 5
% 0.44/1.07
% 0.44/1.07 litorderings [0] = split
% 0.44/1.07 litorderings [1] = extend the termordering, first sorting on arguments
% 0.44/1.07
% 0.44/1.07 termordering = kbo
% 0.44/1.07
% 0.44/1.07 litapriori = 0
% 0.44/1.07 termapriori = 1
% 0.44/1.07 litaposteriori = 0
% 0.44/1.07 termaposteriori = 0
% 0.44/1.07 demodaposteriori = 0
% 0.44/1.07 ordereqreflfact = 0
% 0.44/1.07
% 0.44/1.07 litselect = negord
% 0.44/1.07
% 0.44/1.07 maxweight = 15
% 0.44/1.07 maxdepth = 30000
% 0.44/1.07 maxlength = 115
% 0.44/1.07 maxnrvars = 195
% 0.44/1.07 excuselevel = 1
% 0.44/1.07 increasemaxweight = 1
% 0.44/1.07
% 0.44/1.07 maxselected = 10000000
% 0.44/1.07 maxnrclauses = 10000000
% 0.44/1.07
% 0.44/1.07 showgenerated = 0
% 0.44/1.07 showkept = 0
% 0.44/1.07 showselected = 0
% 0.44/1.07 showdeleted = 0
% 0.44/1.07 showresimp = 1
% 0.44/1.07 showstatus = 2000
% 0.44/1.07
% 0.44/1.07 prologoutput = 1
% 0.44/1.07 nrgoals = 5000000
% 0.44/1.07 totalproof = 1
% 0.44/1.07
% 0.44/1.07 Symbols occurring in the translation:
% 0.44/1.07
% 0.44/1.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.44/1.07 . [1, 2] (w:1, o:27, a:1, s:1, b:0),
% 0.44/1.07 ! [4, 1] (w:0, o:20, a:1, s:1, b:0),
% 0.44/1.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.07 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.44/1.07 product [41, 3] (w:1, o:53, a:1, s:1, b:0),
% 0.44/1.07 inverse [42, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.44/1.07 multiply [44, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.44/1.07 'subgroup_member' [50, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.44/1.07 a [53, 0] (w:1, o:19, a:1, s:1, b:0).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 Starting Search:
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 Bliksems!, er is een bewijs:
% 0.44/1.07 % SZS status Unsatisfiable
% 0.44/1.07 % SZS output start Refutation
% 0.44/1.07
% 0.44/1.07 clause( 0, [ product( identity, X, X ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 3, [ product( X, inverse( X ), identity ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 8, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ), ~(
% 0.44/1.07 product( X, inverse( Y ), Z ) ), 'subgroup_member'( Z ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 9, [ 'subgroup_member'( a ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 10, [ ~( 'subgroup_member'( inverse( a ) ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 17, [ ~( 'subgroup_member'( X ) ), ~( product( X, inverse( X ), Y )
% 0.72/1.07 ), 'subgroup_member'( Y ) ] )
% 0.72/1.07 .
% 0.72/1.07 clause( 20, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( identity ) ]
% 0.72/1.07 )
% 0.72/1.07 .
% 0.72/1.07 clause( 25, [ 'subgroup_member'( identity ) ] )
% 0.72/1.07 .
% 0.72/1.07 clause( 229, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( inverse( X )
% 0.72/1.07 ) ] )
% 0.72/1.07 .
% 0.72/1.07 clause( 245, [] )
% 0.72/1.07 .
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 % SZS output end Refutation
% 0.72/1.07 found a proof!
% 0.72/1.07
% 0.72/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.07
% 0.72/1.07 initialclauses(
% 0.72/1.07 [ clause( 247, [ product( identity, X, X ) ] )
% 0.72/1.07 , clause( 248, [ product( X, identity, X ) ] )
% 0.72/1.07 , clause( 249, [ product( inverse( X ), X, identity ) ] )
% 0.72/1.07 , clause( 250, [ product( X, inverse( X ), identity ) ] )
% 0.72/1.07 , clause( 251, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.72/1.07 , clause( 252, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T
% 0.72/1.07 ) ] )
% 0.72/1.07 , clause( 253, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.72/1.07 product( Z, T, W ) ), product( X, U, W ) ] )
% 0.72/1.07 , clause( 254, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.72/1.07 product( X, U, W ) ), product( Z, T, W ) ] )
% 0.72/1.07 , clause( 255, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ),
% 0.72/1.07 ~( product( X, inverse( Y ), Z ) ), 'subgroup_member'( Z ) ] )
% 0.72/1.07 , clause( 256, [ 'subgroup_member'( a ) ] )
% 0.72/1.07 , clause( 257, [ ~( 'subgroup_member'( inverse( a ) ) ) ] )
% 0.72/1.07 ] ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 0, [ product( identity, X, X ) ] )
% 0.72/1.07 , clause( 247, [ product( identity, X, X ) ] )
% 0.72/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 3, [ product( X, inverse( X ), identity ) ] )
% 0.72/1.07 , clause( 250, [ product( X, inverse( X ), identity ) ] )
% 0.72/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 8, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ), ~(
% 0.72/1.07 product( X, inverse( Y ), Z ) ), 'subgroup_member'( Z ) ] )
% 0.72/1.07 , clause( 255, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ),
% 0.72/1.07 ~( product( X, inverse( Y ), Z ) ), 'subgroup_member'( Z ) ] )
% 0.72/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.07 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 0.72/1.07 ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 9, [ 'subgroup_member'( a ) ] )
% 0.72/1.07 , clause( 256, [ 'subgroup_member'( a ) ] )
% 0.72/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 10, [ ~( 'subgroup_member'( inverse( a ) ) ) ] )
% 0.72/1.07 , clause( 257, [ ~( 'subgroup_member'( inverse( a ) ) ) ] )
% 0.72/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 factor(
% 0.72/1.07 clause( 288, [ ~( 'subgroup_member'( X ) ), ~( product( X, inverse( X ), Y
% 0.72/1.07 ) ), 'subgroup_member'( Y ) ] )
% 0.72/1.07 , clause( 8, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ),
% 0.72/1.07 ~( product( X, inverse( Y ), Z ) ), 'subgroup_member'( Z ) ] )
% 0.72/1.07 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, Y )] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 17, [ ~( 'subgroup_member'( X ) ), ~( product( X, inverse( X ), Y )
% 0.72/1.07 ), 'subgroup_member'( Y ) ] )
% 0.72/1.07 , clause( 288, [ ~( 'subgroup_member'( X ) ), ~( product( X, inverse( X ),
% 0.72/1.07 Y ) ), 'subgroup_member'( Y ) ] )
% 0.72/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.07 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 289, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( identity ) ]
% 0.72/1.07 )
% 0.72/1.07 , clause( 17, [ ~( 'subgroup_member'( X ) ), ~( product( X, inverse( X ), Y
% 0.72/1.07 ) ), 'subgroup_member'( Y ) ] )
% 0.72/1.07 , 1, clause( 3, [ product( X, inverse( X ), identity ) ] )
% 0.72/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution( 1
% 0.72/1.07 , [ :=( X, X )] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 20, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( identity ) ]
% 0.72/1.07 )
% 0.72/1.07 , clause( 289, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( identity )
% 0.72/1.07 ] )
% 0.72/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.72/1.07 1 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 290, [ 'subgroup_member'( identity ) ] )
% 0.72/1.07 , clause( 20, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( identity )
% 0.72/1.07 ] )
% 0.72/1.07 , 0, clause( 9, [ 'subgroup_member'( a ) ] )
% 0.72/1.07 , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 25, [ 'subgroup_member'( identity ) ] )
% 0.72/1.07 , clause( 290, [ 'subgroup_member'( identity ) ] )
% 0.72/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 291, [ ~( 'subgroup_member'( identity ) ), ~( 'subgroup_member'( X
% 0.72/1.07 ) ), 'subgroup_member'( inverse( X ) ) ] )
% 0.72/1.07 , clause( 8, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ),
% 0.72/1.07 ~( product( X, inverse( Y ), Z ) ), 'subgroup_member'( Z ) ] )
% 0.72/1.07 , 2, clause( 0, [ product( identity, X, X ) ] )
% 0.72/1.07 , 0, substitution( 0, [ :=( X, identity ), :=( Y, X ), :=( Z, inverse( X )
% 0.72/1.07 )] ), substitution( 1, [ :=( X, inverse( X ) )] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 294, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( inverse( X )
% 0.72/1.07 ) ] )
% 0.72/1.07 , clause( 291, [ ~( 'subgroup_member'( identity ) ), ~( 'subgroup_member'(
% 0.72/1.07 X ) ), 'subgroup_member'( inverse( X ) ) ] )
% 0.72/1.07 , 0, clause( 25, [ 'subgroup_member'( identity ) ] )
% 0.72/1.07 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 229, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( inverse( X )
% 0.72/1.07 ) ] )
% 0.72/1.07 , clause( 294, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( inverse( X
% 0.72/1.07 ) ) ] )
% 0.72/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.72/1.07 1 )] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 295, [ ~( 'subgroup_member'( a ) ) ] )
% 0.72/1.07 , clause( 10, [ ~( 'subgroup_member'( inverse( a ) ) ) ] )
% 0.72/1.07 , 0, clause( 229, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( inverse(
% 0.72/1.07 X ) ) ] )
% 0.72/1.07 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, a )] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 resolution(
% 0.72/1.07 clause( 296, [] )
% 0.72/1.07 , clause( 295, [ ~( 'subgroup_member'( a ) ) ] )
% 0.72/1.07 , 0, clause( 9, [ 'subgroup_member'( a ) ] )
% 0.72/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 subsumption(
% 0.72/1.07 clause( 245, [] )
% 0.72/1.07 , clause( 296, [] )
% 0.72/1.07 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 end.
% 0.72/1.07
% 0.72/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.07
% 0.72/1.07 Memory use:
% 0.72/1.07
% 0.72/1.07 space for terms: 3569
% 0.72/1.07 space for clauses: 10659
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 clauses generated: 667
% 0.72/1.07 clauses kept: 246
% 0.72/1.07 clauses selected: 26
% 0.72/1.07 clauses deleted: 1
% 0.72/1.07 clauses inuse deleted: 0
% 0.72/1.07
% 0.72/1.07 subsentry: 2426
% 0.72/1.07 literals s-matched: 1079
% 0.72/1.07 literals matched: 1043
% 0.72/1.07 full subsumption: 749
% 0.72/1.07
% 0.72/1.07 checksum: -109674690
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 Bliksem ended
%------------------------------------------------------------------------------