TSTP Solution File: GRP541-1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP541-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.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 07:37:32 EDT 2022
% Result : Unsatisfiable 0.41s 1.05s
% Output : Refutation 0.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP541-1 : TPTP v8.1.0. Released v2.6.0.
% 0.00/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Tue Jun 14 02:41:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.41/1.05 *** allocated 10000 integers for termspace/termends
% 0.41/1.05 *** allocated 10000 integers for clauses
% 0.41/1.05 *** allocated 10000 integers for justifications
% 0.41/1.05 Bliksem 1.12
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 Automatic Strategy Selection
% 0.41/1.05
% 0.41/1.05 Clauses:
% 0.41/1.05 [
% 0.41/1.05 [ =( divide( divide( identity, divide( divide( divide( X, Y ), Z ), X )
% 0.41/1.05 ), Z ), Y ) ],
% 0.41/1.05 [ =( multiply( X, Y ), divide( X, divide( identity, Y ) ) ) ],
% 0.41/1.05 [ =( inverse( X ), divide( identity, X ) ) ],
% 0.41/1.05 [ =( identity, divide( X, X ) ) ],
% 0.41/1.05 [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1 ) ) )
% 0.41/1.05 ]
% 0.41/1.05 ] .
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 percentage equality = 1.000000, percentage horn = 1.000000
% 0.41/1.05 This is a pure equality problem
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 Options Used:
% 0.41/1.05
% 0.41/1.05 useres = 1
% 0.41/1.05 useparamod = 1
% 0.41/1.05 useeqrefl = 1
% 0.41/1.05 useeqfact = 1
% 0.41/1.05 usefactor = 1
% 0.41/1.05 usesimpsplitting = 0
% 0.41/1.05 usesimpdemod = 5
% 0.41/1.05 usesimpres = 3
% 0.41/1.05
% 0.41/1.05 resimpinuse = 1000
% 0.41/1.05 resimpclauses = 20000
% 0.41/1.05 substype = eqrewr
% 0.41/1.05 backwardsubs = 1
% 0.41/1.05 selectoldest = 5
% 0.41/1.05
% 0.41/1.05 litorderings [0] = split
% 0.41/1.05 litorderings [1] = extend the termordering, first sorting on arguments
% 0.41/1.05
% 0.41/1.05 termordering = kbo
% 0.41/1.05
% 0.41/1.05 litapriori = 0
% 0.41/1.05 termapriori = 1
% 0.41/1.05 litaposteriori = 0
% 0.41/1.05 termaposteriori = 0
% 0.41/1.05 demodaposteriori = 0
% 0.41/1.05 ordereqreflfact = 0
% 0.41/1.05
% 0.41/1.05 litselect = negord
% 0.41/1.05
% 0.41/1.05 maxweight = 15
% 0.41/1.05 maxdepth = 30000
% 0.41/1.05 maxlength = 115
% 0.41/1.05 maxnrvars = 195
% 0.41/1.05 excuselevel = 1
% 0.41/1.05 increasemaxweight = 1
% 0.41/1.05
% 0.41/1.05 maxselected = 10000000
% 0.41/1.05 maxnrclauses = 10000000
% 0.41/1.05
% 0.41/1.05 showgenerated = 0
% 0.41/1.05 showkept = 0
% 0.41/1.05 showselected = 0
% 0.41/1.05 showdeleted = 0
% 0.41/1.05 showresimp = 1
% 0.41/1.05 showstatus = 2000
% 0.41/1.05
% 0.41/1.05 prologoutput = 1
% 0.41/1.05 nrgoals = 5000000
% 0.41/1.05 totalproof = 1
% 0.41/1.05
% 0.41/1.05 Symbols occurring in the translation:
% 0.41/1.05
% 0.41/1.05 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.41/1.05 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.41/1.05 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.41/1.05 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.41/1.05 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.41/1.05 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.41/1.05 divide [42, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.41/1.05 multiply [44, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.41/1.05 inverse [45, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.41/1.05 a1 [46, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.41/1.05 b1 [47, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 Starting Search:
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 Bliksems!, er is een bewijs:
% 0.41/1.05 % SZS status Unsatisfiable
% 0.41/1.05 % SZS output start Refutation
% 0.41/1.05
% 0.41/1.05 clause( 1, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ] )
% 0.41/1.05 .
% 0.41/1.05 clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.41/1.05 .
% 0.41/1.05 clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.41/1.05 .
% 0.41/1.05 clause( 4, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 ),
% 0.41/1.05 a1 ) ) ) ] )
% 0.41/1.05 .
% 0.41/1.05 clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.41/1.05 .
% 0.41/1.05 clause( 9, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.41/1.05 .
% 0.41/1.05 clause( 11, [] )
% 0.41/1.05 .
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 % SZS output end Refutation
% 0.41/1.05 found a proof!
% 0.41/1.05
% 0.41/1.05 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.41/1.05
% 0.41/1.05 initialclauses(
% 0.41/1.05 [ clause( 13, [ =( divide( divide( identity, divide( divide( divide( X, Y )
% 0.41/1.05 , Z ), X ) ), Z ), Y ) ] )
% 0.41/1.05 , clause( 14, [ =( multiply( X, Y ), divide( X, divide( identity, Y ) ) ) ]
% 0.41/1.05 )
% 0.41/1.05 , clause( 15, [ =( inverse( X ), divide( identity, X ) ) ] )
% 0.41/1.05 , clause( 16, [ =( identity, divide( X, X ) ) ] )
% 0.41/1.05 , clause( 17, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1
% 0.41/1.05 ), b1 ) ) ) ] )
% 0.41/1.05 ] ).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 eqswap(
% 0.41/1.05 clause( 19, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ]
% 0.41/1.05 )
% 0.41/1.05 , clause( 14, [ =( multiply( X, Y ), divide( X, divide( identity, Y ) ) ) ]
% 0.41/1.05 )
% 0.41/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 subsumption(
% 0.41/1.05 clause( 1, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ] )
% 0.41/1.05 , clause( 19, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ]
% 0.41/1.05 )
% 0.41/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.41/1.05 )] ) ).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 eqswap(
% 0.41/1.05 clause( 22, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.41/1.05 , clause( 15, [ =( inverse( X ), divide( identity, X ) ) ] )
% 0.41/1.05 , 0, substitution( 0, [ :=( X, X )] )).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 subsumption(
% 0.41/1.05 clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.41/1.05 , clause( 22, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.41/1.05 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 eqswap(
% 0.41/1.05 clause( 26, [ =( divide( X, X ), identity ) ] )
% 0.41/1.05 , clause( 16, [ =( identity, divide( X, X ) ) ] )
% 0.41/1.05 , 0, substitution( 0, [ :=( X, X )] )).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 subsumption(
% 0.41/1.05 clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.41/1.05 , clause( 26, [ =( divide( X, X ), identity ) ] )
% 0.41/1.05 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 eqswap(
% 0.41/1.05 clause( 31, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 )
% 0.41/1.05 , a1 ) ) ) ] )
% 0.41/1.05 , clause( 17, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1
% 0.41/1.05 ), b1 ) ) ) ] )
% 0.41/1.05 , 0, substitution( 0, [] )).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 subsumption(
% 0.41/1.05 clause( 4, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 ),
% 0.41/1.05 a1 ) ) ) ] )
% 0.41/1.05 , clause( 31, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1
% 0.41/1.05 ), a1 ) ) ) ] )
% 0.41/1.05 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 paramod(
% 0.41/1.05 clause( 34, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.41/1.05 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.41/1.05 , 0, clause( 1, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) )
% 0.41/1.05 ] )
% 0.41/1.05 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.41/1.05 :=( Y, Y )] )).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 subsumption(
% 0.41/1.05 clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.41/1.05 , clause( 34, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.41/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.41/1.05 )] ) ).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 eqswap(
% 0.41/1.05 clause( 36, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.41/1.05 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.41/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 paramod(
% 0.41/1.05 clause( 38, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.41/1.05 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.41/1.05 , 0, clause( 36, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.41/1.05 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.41/1.05 :=( X, inverse( X ) ), :=( Y, X )] )).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 subsumption(
% 0.41/1.05 clause( 9, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.41/1.05 , clause( 38, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.41/1.05 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 paramod(
% 0.41/1.05 clause( 44, [ ~( =( multiply( inverse( b1 ), b1 ), identity ) ) ] )
% 0.41/1.05 , clause( 9, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.41/1.05 , 0, clause( 4, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse(
% 0.41/1.05 a1 ), a1 ) ) ) ] )
% 0.41/1.05 , 0, 6, substitution( 0, [ :=( X, a1 )] ), substitution( 1, [] )).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 paramod(
% 0.41/1.05 clause( 46, [ ~( =( identity, identity ) ) ] )
% 0.41/1.05 , clause( 9, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.41/1.05 , 0, clause( 44, [ ~( =( multiply( inverse( b1 ), b1 ), identity ) ) ] )
% 0.41/1.05 , 0, 2, substitution( 0, [ :=( X, b1 )] ), substitution( 1, [] )).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 eqrefl(
% 0.41/1.05 clause( 47, [] )
% 0.41/1.05 , clause( 46, [ ~( =( identity, identity ) ) ] )
% 0.41/1.05 , 0, substitution( 0, [] )).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 subsumption(
% 0.41/1.05 clause( 11, [] )
% 0.41/1.05 , clause( 47, [] )
% 0.41/1.05 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 end.
% 0.41/1.05
% 0.41/1.05 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.41/1.05
% 0.41/1.05 Memory use:
% 0.41/1.05
% 0.41/1.05 space for terms: 200
% 0.41/1.05 space for clauses: 1180
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 clauses generated: 34
% 0.41/1.05 clauses kept: 12
% 0.41/1.05 clauses selected: 7
% 0.41/1.05 clauses deleted: 3
% 0.41/1.05 clauses inuse deleted: 0
% 0.41/1.05
% 0.41/1.05 subsentry: 116
% 0.41/1.05 literals s-matched: 52
% 0.41/1.05 literals matched: 52
% 0.41/1.05 full subsumption: 0
% 0.41/1.05
% 0.41/1.05 checksum: 2070009768
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 Bliksem ended
%------------------------------------------------------------------------------