TSTP Solution File: GRP032-3 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP032-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n011.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 0.82s 1.19s
% Output : Refutation 0.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP032-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : bliksem %s
% 0.15/0.35 % Computer : n011.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % DateTime : Tue Jun 14 01:03:34 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.82/1.19 *** allocated 10000 integers for termspace/termends
% 0.82/1.19 *** allocated 10000 integers for clauses
% 0.82/1.19 *** allocated 10000 integers for justifications
% 0.82/1.19 Bliksem 1.12
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 Automatic Strategy Selection
% 0.82/1.19
% 0.82/1.19 Clauses:
% 0.82/1.19 [
% 0.82/1.19 [ product( identity, X, X ) ],
% 0.82/1.19 [ product( X, identity, X ) ],
% 0.82/1.19 [ product( inverse( X ), X, identity ) ],
% 0.82/1.19 [ product( X, inverse( X ), identity ) ],
% 0.82/1.19 [ product( X, Y, multiply( X, Y ) ) ],
% 0.82/1.19 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 0.82/1.19 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( Z, T, W
% 0.82/1.19 ) ), product( X, U, W ) ],
% 0.82/1.19 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( X, U, W
% 0.82/1.19 ) ), product( Z, T, W ) ],
% 0.82/1.19 [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ), ~( product(
% 0.82/1.19 X, inverse( Y ), Z ) ), 'subgroup_member'( Z ) ],
% 0.82/1.19 [ 'subgroup_member'( a ) ],
% 0.82/1.19 [ ~( 'subgroup_member'( identity ) ) ]
% 0.82/1.19 ] .
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 percentage equality = 0.045455, percentage horn = 1.000000
% 0.82/1.19 This is a problem with some equality
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 Options Used:
% 0.82/1.19
% 0.82/1.19 useres = 1
% 0.82/1.19 useparamod = 1
% 0.82/1.19 useeqrefl = 1
% 0.82/1.19 useeqfact = 1
% 0.82/1.19 usefactor = 1
% 0.82/1.19 usesimpsplitting = 0
% 0.82/1.19 usesimpdemod = 5
% 0.82/1.19 usesimpres = 3
% 0.82/1.19
% 0.82/1.19 resimpinuse = 1000
% 0.82/1.19 resimpclauses = 20000
% 0.82/1.19 substype = eqrewr
% 0.82/1.19 backwardsubs = 1
% 0.82/1.19 selectoldest = 5
% 0.82/1.19
% 0.82/1.19 litorderings [0] = split
% 0.82/1.19 litorderings [1] = extend the termordering, first sorting on arguments
% 0.82/1.19
% 0.82/1.19 termordering = kbo
% 0.82/1.19
% 0.82/1.19 litapriori = 0
% 0.82/1.19 termapriori = 1
% 0.82/1.19 litaposteriori = 0
% 0.82/1.19 termaposteriori = 0
% 0.82/1.19 demodaposteriori = 0
% 0.82/1.19 ordereqreflfact = 0
% 0.82/1.19
% 0.82/1.19 litselect = negord
% 0.82/1.19
% 0.82/1.19 maxweight = 15
% 0.82/1.19 maxdepth = 30000
% 0.82/1.19 maxlength = 115
% 0.82/1.19 maxnrvars = 195
% 0.82/1.19 excuselevel = 1
% 0.82/1.19 increasemaxweight = 1
% 0.82/1.19
% 0.82/1.19 maxselected = 10000000
% 0.82/1.19 maxnrclauses = 10000000
% 0.82/1.19
% 0.82/1.19 showgenerated = 0
% 0.82/1.19 showkept = 0
% 0.82/1.19 showselected = 0
% 0.82/1.19 showdeleted = 0
% 0.82/1.19 showresimp = 1
% 0.82/1.19 showstatus = 2000
% 0.82/1.19
% 0.82/1.19 prologoutput = 1
% 0.82/1.19 nrgoals = 5000000
% 0.82/1.19 totalproof = 1
% 0.82/1.19
% 0.82/1.19 Symbols occurring in the translation:
% 0.82/1.19
% 0.82/1.19 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.82/1.19 . [1, 2] (w:1, o:27, a:1, s:1, b:0),
% 0.82/1.19 ! [4, 1] (w:0, o:20, a:1, s:1, b:0),
% 0.82/1.19 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.82/1.19 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.82/1.19 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.82/1.19 product [41, 3] (w:1, o:53, a:1, s:1, b:0),
% 0.82/1.19 inverse [42, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.82/1.19 multiply [44, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.82/1.19 'subgroup_member' [50, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.82/1.19 a [53, 0] (w:1, o:19, a:1, s:1, b:0).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 Starting Search:
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 Bliksems!, er is een bewijs:
% 0.82/1.19 % SZS status Unsatisfiable
% 0.82/1.19 % SZS output start Refutation
% 0.82/1.19
% 0.82/1.19 clause( 3, [ product( X, inverse( X ), identity ) ] )
% 0.82/1.19 .
% 0.82/1.19 clause( 8, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ), ~(
% 0.82/1.19 product( X, inverse( Y ), Z ) ), 'subgroup_member'( Z ) ] )
% 0.82/1.19 .
% 0.82/1.19 clause( 9, [ 'subgroup_member'( a ) ] )
% 0.82/1.19 .
% 0.82/1.19 clause( 10, [ ~( 'subgroup_member'( identity ) ) ] )
% 0.82/1.19 .
% 0.82/1.19 clause( 17, [ ~( 'subgroup_member'( X ) ), ~( product( X, inverse( X ), Y )
% 0.82/1.19 ), 'subgroup_member'( Y ) ] )
% 0.82/1.19 .
% 0.82/1.19 clause( 20, [ ~( 'subgroup_member'( X ) ) ] )
% 0.82/1.19 .
% 0.82/1.19 clause( 22, [] )
% 0.82/1.19 .
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 % SZS output end Refutation
% 0.82/1.19 found a proof!
% 0.82/1.19
% 0.82/1.19 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.82/1.19
% 0.82/1.19 initialclauses(
% 0.82/1.19 [ clause( 24, [ product( identity, X, X ) ] )
% 0.82/1.19 , clause( 25, [ product( X, identity, X ) ] )
% 0.82/1.19 , clause( 26, [ product( inverse( X ), X, identity ) ] )
% 0.82/1.19 , clause( 27, [ product( X, inverse( X ), identity ) ] )
% 0.82/1.19 , clause( 28, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.82/1.19 , clause( 29, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T )
% 0.82/1.19 ] )
% 0.82/1.19 , clause( 30, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.82/1.19 product( Z, T, W ) ), product( X, U, W ) ] )
% 0.82/1.19 , clause( 31, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.82/1.19 product( X, U, W ) ), product( Z, T, W ) ] )
% 0.82/1.19 , clause( 32, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ),
% 0.82/1.19 ~( product( X, inverse( Y ), Z ) ), 'subgroup_member'( Z ) ] )
% 0.82/1.19 , clause( 33, [ 'subgroup_member'( a ) ] )
% 0.82/1.19 , clause( 34, [ ~( 'subgroup_member'( identity ) ) ] )
% 0.82/1.19 ] ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 3, [ product( X, inverse( X ), identity ) ] )
% 0.82/1.19 , clause( 27, [ product( X, inverse( X ), identity ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 8, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ), ~(
% 0.82/1.19 product( X, inverse( Y ), Z ) ), 'subgroup_member'( Z ) ] )
% 0.82/1.19 , clause( 32, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ),
% 0.82/1.19 ~( product( X, inverse( Y ), Z ) ), 'subgroup_member'( Z ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.82/1.19 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 0.82/1.19 ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 9, [ 'subgroup_member'( a ) ] )
% 0.82/1.19 , clause( 33, [ 'subgroup_member'( a ) ] )
% 0.82/1.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 10, [ ~( 'subgroup_member'( identity ) ) ] )
% 0.82/1.19 , clause( 34, [ ~( 'subgroup_member'( identity ) ) ] )
% 0.82/1.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 factor(
% 0.82/1.19 clause( 65, [ ~( 'subgroup_member'( X ) ), ~( product( X, inverse( X ), Y )
% 0.82/1.19 ), 'subgroup_member'( Y ) ] )
% 0.82/1.19 , clause( 8, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ),
% 0.82/1.19 ~( product( X, inverse( Y ), Z ) ), 'subgroup_member'( Z ) ] )
% 0.82/1.19 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, Y )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 17, [ ~( 'subgroup_member'( X ) ), ~( product( X, inverse( X ), Y )
% 0.82/1.19 ), 'subgroup_member'( Y ) ] )
% 0.82/1.19 , clause( 65, [ ~( 'subgroup_member'( X ) ), ~( product( X, inverse( X ), Y
% 0.82/1.19 ) ), 'subgroup_member'( Y ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.82/1.19 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 66, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( identity ) ]
% 0.82/1.19 )
% 0.82/1.19 , clause( 17, [ ~( 'subgroup_member'( X ) ), ~( product( X, inverse( X ), Y
% 0.82/1.19 ) ), 'subgroup_member'( Y ) ] )
% 0.82/1.19 , 1, clause( 3, [ product( X, inverse( X ), identity ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution( 1
% 0.82/1.19 , [ :=( X, X )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 67, [ ~( 'subgroup_member'( X ) ) ] )
% 0.82/1.19 , clause( 10, [ ~( 'subgroup_member'( identity ) ) ] )
% 0.82/1.19 , 0, clause( 66, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( identity
% 0.82/1.19 ) ] )
% 0.82/1.19 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 20, [ ~( 'subgroup_member'( X ) ) ] )
% 0.82/1.19 , clause( 67, [ ~( 'subgroup_member'( X ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 68, [] )
% 0.82/1.19 , clause( 20, [ ~( 'subgroup_member'( X ) ) ] )
% 0.82/1.19 , 0, clause( 9, [ 'subgroup_member'( a ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 22, [] )
% 0.82/1.19 , clause( 68, [] )
% 0.82/1.19 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 end.
% 0.82/1.19
% 0.82/1.19 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.82/1.19
% 0.82/1.19 Memory use:
% 0.82/1.19
% 0.82/1.19 space for terms: 484
% 0.82/1.19 space for clauses: 1119
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 clauses generated: 35
% 0.82/1.19 clauses kept: 23
% 0.82/1.19 clauses selected: 9
% 0.82/1.19 clauses deleted: 0
% 0.82/1.19 clauses inuse deleted: 0
% 0.82/1.19
% 0.82/1.19 subsentry: 81
% 0.82/1.19 literals s-matched: 55
% 0.82/1.19 literals matched: 42
% 0.82/1.19 full subsumption: 27
% 0.82/1.19
% 0.82/1.19 checksum: 76309303
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 Bliksem ended
%------------------------------------------------------------------------------