TSTP Solution File: GRP020-1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP020-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n005.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 07:34:20 EDT 2022
% Result : Unsatisfiable 0.71s 1.12s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP020-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Mon Jun 13 21:59:54 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.71/1.12 *** allocated 10000 integers for termspace/termends
% 0.71/1.12 *** allocated 10000 integers for clauses
% 0.71/1.12 *** allocated 10000 integers for justifications
% 0.71/1.12 Bliksem 1.12
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 Automatic Strategy Selection
% 0.71/1.12
% 0.71/1.12 Clauses:
% 0.71/1.12 [
% 0.71/1.12 [ product( identity, X, X ) ],
% 0.71/1.12 [ product( X, identity, X ) ],
% 0.71/1.12 [ product( inverse( X ), X, identity ) ],
% 0.71/1.12 [ product( X, inverse( X ), identity ) ],
% 0.71/1.12 [ product( X, Y, multiply( X, Y ) ) ],
% 0.71/1.12 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 0.71/1.12 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( Z, T, W
% 0.71/1.12 ) ), product( X, U, W ) ],
% 0.71/1.12 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( X, U, W
% 0.71/1.12 ) ), product( Z, T, W ) ],
% 0.71/1.12 [ ~( =( multiply( inverse( a ), a ), identity ) ) ]
% 0.71/1.12 ] .
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 percentage equality = 0.117647, percentage horn = 1.000000
% 0.71/1.12 This is a problem with some equality
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 Options Used:
% 0.71/1.12
% 0.71/1.12 useres = 1
% 0.71/1.12 useparamod = 1
% 0.71/1.12 useeqrefl = 1
% 0.71/1.12 useeqfact = 1
% 0.71/1.12 usefactor = 1
% 0.71/1.12 usesimpsplitting = 0
% 0.71/1.12 usesimpdemod = 5
% 0.71/1.12 usesimpres = 3
% 0.71/1.12
% 0.71/1.12 resimpinuse = 1000
% 0.71/1.12 resimpclauses = 20000
% 0.71/1.12 substype = eqrewr
% 0.71/1.12 backwardsubs = 1
% 0.71/1.12 selectoldest = 5
% 0.71/1.12
% 0.71/1.12 litorderings [0] = split
% 0.71/1.12 litorderings [1] = extend the termordering, first sorting on arguments
% 0.71/1.12
% 0.71/1.12 termordering = kbo
% 0.71/1.12
% 0.71/1.12 litapriori = 0
% 0.71/1.12 termapriori = 1
% 0.71/1.12 litaposteriori = 0
% 0.71/1.12 termaposteriori = 0
% 0.71/1.12 demodaposteriori = 0
% 0.71/1.12 ordereqreflfact = 0
% 0.71/1.12
% 0.71/1.12 litselect = negord
% 0.71/1.12
% 0.71/1.12 maxweight = 15
% 0.71/1.12 maxdepth = 30000
% 0.71/1.12 maxlength = 115
% 0.71/1.12 maxnrvars = 195
% 0.71/1.12 excuselevel = 1
% 0.71/1.12 increasemaxweight = 1
% 0.71/1.12
% 0.71/1.12 maxselected = 10000000
% 0.71/1.12 maxnrclauses = 10000000
% 0.71/1.12
% 0.71/1.12 showgenerated = 0
% 0.71/1.12 showkept = 0
% 0.71/1.12 showselected = 0
% 0.71/1.12 showdeleted = 0
% 0.71/1.12 showresimp = 1
% 0.71/1.12 showstatus = 2000
% 0.71/1.12
% 0.71/1.12 prologoutput = 1
% 0.71/1.12 nrgoals = 5000000
% 0.71/1.12 totalproof = 1
% 0.71/1.12
% 0.71/1.12 Symbols occurring in the translation:
% 0.71/1.12
% 0.71/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.12 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 0.71/1.12 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 0.71/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.12 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.71/1.12 product [41, 3] (w:1, o:49, a:1, s:1, b:0),
% 0.71/1.12 inverse [42, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.71/1.12 multiply [44, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.71/1.12 a [49, 0] (w:1, o:16, a:1, s:1, b:0).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 Starting Search:
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 Bliksems!, er is een bewijs:
% 0.71/1.12 % SZS status Unsatisfiable
% 0.71/1.12 % SZS output start Refutation
% 0.71/1.12
% 0.71/1.12 clause( 2, [ product( inverse( X ), X, identity ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 4, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 0.71/1.12 )
% 0.71/1.12 .
% 0.71/1.12 clause( 8, [ ~( =( multiply( inverse( a ), a ), identity ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 15, [ ~( product( X, Y, Z ) ), =( multiply( X, Y ), Z ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 537, [ ~( =( X, identity ) ), ~( product( inverse( a ), a, X ) ) ]
% 0.71/1.12 )
% 0.71/1.12 .
% 0.71/1.12 clause( 541, [] )
% 0.71/1.12 .
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 % SZS output end Refutation
% 0.71/1.12 found a proof!
% 0.71/1.12
% 0.71/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.12
% 0.71/1.12 initialclauses(
% 0.71/1.12 [ clause( 543, [ product( identity, X, X ) ] )
% 0.71/1.12 , clause( 544, [ product( X, identity, X ) ] )
% 0.71/1.12 , clause( 545, [ product( inverse( X ), X, identity ) ] )
% 0.71/1.12 , clause( 546, [ product( X, inverse( X ), identity ) ] )
% 0.71/1.12 , clause( 547, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.71/1.12 , clause( 548, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T
% 0.71/1.12 ) ] )
% 0.71/1.12 , clause( 549, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.71/1.12 product( Z, T, W ) ), product( X, U, W ) ] )
% 0.71/1.12 , clause( 550, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.71/1.12 product( X, U, W ) ), product( Z, T, W ) ] )
% 0.71/1.12 , clause( 551, [ ~( =( multiply( inverse( a ), a ), identity ) ) ] )
% 0.71/1.12 ] ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 2, [ product( inverse( X ), X, identity ) ] )
% 0.71/1.12 , clause( 545, [ product( inverse( X ), X, identity ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 4, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.71/1.12 , clause( 547, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.12 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 9.23/9.60 )
% 9.23/9.60 , clause( 548, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T
% 9.23/9.60 ) ] )
% 9.23/9.60 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 9.23/9.60 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 9.23/9.60
% 9.23/9.60
% 9.23/9.60 subsumption(
% 9.23/9.60 clause( 8, [ ~( =( multiply( inverse( a ), a ), identity ) ) ] )
% 9.23/9.60 , clause( 551, [ ~( =( multiply( inverse( a ), a ), identity ) ) ] )
% 9.23/9.60 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 9.23/9.60
% 9.23/9.60
% 9.23/9.60 resolution(
% 9.23/9.60 clause( 563, [ ~( product( X, Y, Z ) ), =( multiply( X, Y ), Z ) ] )
% 9.23/9.60 , clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T )
% 9.23/9.60 ] )
% 9.23/9.60 , 0, clause( 4, [ product( X, Y, multiply( X, Y ) ) ] )
% 9.23/9.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, multiply( X, Y ) ),
% 9.23/9.60 :=( T, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 9.23/9.60
% 9.23/9.60
% 9.23/9.60 subsumption(
% 9.23/9.60 clause( 15, [ ~( product( X, Y, Z ) ), =( multiply( X, Y ), Z ) ] )
% 9.23/9.60 , clause( 563, [ ~( product( X, Y, Z ) ), =( multiply( X, Y ), Z ) ] )
% 9.23/9.60 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 9.23/9.60 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 9.23/9.60
% 9.23/9.60
% 9.23/9.60 eqswap(
% 9.23/9.60 clause( 566, [ ~( =( identity, multiply( inverse( a ), a ) ) ) ] )
% 9.23/9.60 , clause( 8, [ ~( =( multiply( inverse( a ), a ), identity ) ) ] )
% 9.23/9.60 , 0, substitution( 0, [] )).
% 9.23/9.60
% 9.23/9.60
% 9.23/9.60 paramod(
% 9.23/9.60 clause( 10054, [ ~( =( identity, X ) ), ~( product( inverse( a ), a, X ) )
% 9.23/9.60 ] )
% 9.23/9.60 , clause( 15, [ ~( product( X, Y, Z ) ), =( multiply( X, Y ), Z ) ] )
% 9.23/9.60 , 1, clause( 566, [ ~( =( identity, multiply( inverse( a ), a ) ) ) ] )
% 9.23/9.60 , 0, 3, substitution( 0, [ :=( X, inverse( a ) ), :=( Y, a ), :=( Z, X )] )
% 9.23/9.60 , substitution( 1, [] )).
% 9.23/9.60
% 9.23/9.60
% 9.23/9.60 eqswap(
% 9.23/9.60 clause( 10055, [ ~( =( X, identity ) ), ~( product( inverse( a ), a, X ) )
% 9.23/9.60 ] )
% 9.23/9.60 , clause( 10054, [ ~( =( identity, X ) ), ~( product( inverse( a ), a, X )
% 9.23/9.60 ) ] )
% 9.23/9.60 , 0, substitution( 0, [ :=( X, X )] )).
% 9.23/9.60
% 9.23/9.60
% 9.23/9.60 subsumption(
% 9.23/9.60 clause( 537, [ ~( =( X, identity ) ), ~( product( inverse( a ), a, X ) ) ]
% 9.23/9.60 )
% 9.23/9.60 , clause( 10055, [ ~( =( X, identity ) ), ~( product( inverse( a ), a, X )
% 9.23/9.60 ) ] )
% 9.23/9.60 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 9.23/9.60 1 )] ) ).
% 9.23/9.60
% 9.23/9.60
% 9.23/9.60 eqswap(
% 9.23/9.60 clause( 10056, [ ~( =( identity, X ) ), ~( product( inverse( a ), a, X ) )
% 9.23/9.60 ] )
% 9.23/9.60 , clause( 537, [ ~( =( X, identity ) ), ~( product( inverse( a ), a, X ) )
% 9.23/9.60 ] )
% 9.23/9.60 , 0, substitution( 0, [ :=( X, X )] )).
% 9.23/9.60
% 9.23/9.60
% 9.23/9.60 eqrefl(
% 9.23/9.60 clause( 10057, [ ~( product( inverse( a ), a, identity ) ) ] )
% 9.23/9.60 , clause( 10056, [ ~( =( identity, X ) ), ~( product( inverse( a ), a, X )
% 9.23/9.60 ) ] )
% 9.23/9.60 , 0, substitution( 0, [ :=( X, identity )] )).
% 9.23/9.60
% 9.23/9.60
% 9.23/9.60 resolution(
% 9.23/9.60 clause( 10058, [] )
% 9.23/9.60 , clause( 10057, [ ~( product( inverse( a ), a, identity ) ) ] )
% 9.23/9.60 , 0, clause( 2, [ product( inverse( X ), X, identity ) ] )
% 9.23/9.60 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a )] )).
% 9.23/9.60
% 9.23/9.60
% 9.23/9.60 subsumption(
% 9.23/9.60 clause( 541, [] )
% 9.23/9.60 , clause( 10058, [] )
% 9.23/9.60 , substitution( 0, [] ), permutation( 0, [] ) ).
% 9.23/9.60
% 9.23/9.60
% 9.23/9.60 end.
% 9.23/9.60
% 9.23/9.60 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 9.23/9.60
% 9.23/9.60 Memory use:
% 9.23/9.60
% 9.23/9.60 space for terms: 7564
% 9.23/9.60 space for clauses: 22401
% 9.23/9.60
% 9.23/9.60
% 9.23/9.60 clauses generated: 2516
% 9.23/9.60 clauses kept: 542
% 9.23/9.60 clauses selected: 51
% 9.23/9.60 clauses deleted: 0
% 9.23/9.60 clauses inuse deleted: 0
% 9.23/9.60
% 9.23/9.60 subsentry: 8542592
% 9.23/9.60 literals s-matched: 1960210
% 9.23/9.60 literals matched: 1692446
% 9.23/9.60 full subsumption: 1688086
% 9.23/9.60
% 9.23/9.60 checksum: 2088539513
% 9.23/9.60
% 9.23/9.60
% 9.23/9.60 Bliksem ended
%------------------------------------------------------------------------------