TSTP Solution File: GRP457-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP457-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.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 07:37:06 EDT 2022
% Result : Unsatisfiable 0.38s 0.93s
% Output : Refutation 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP457-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.14 % Command : bliksem %s
% 0.13/0.34 % Computer : n019.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
% 0.19/0.34 % CPULimit : 300
% 0.19/0.34 % DateTime : Mon Jun 13 07:17:09 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.38/0.93 *** allocated 10000 integers for termspace/termends
% 0.38/0.93 *** allocated 10000 integers for clauses
% 0.38/0.93 *** allocated 10000 integers for justifications
% 0.38/0.93 Bliksem 1.12
% 0.38/0.93
% 0.38/0.93
% 0.38/0.93 Automatic Strategy Selection
% 0.38/0.93
% 0.38/0.93 Clauses:
% 0.38/0.93 [
% 0.38/0.93 [ =( divide( divide( divide( X, X ), divide( X, divide( Y, divide(
% 0.38/0.93 divide( identity, X ), Z ) ) ) ), Z ), Y ) ],
% 0.38/0.93 [ =( multiply( X, Y ), divide( X, divide( identity, Y ) ) ) ],
% 0.38/0.93 [ =( inverse( X ), divide( identity, X ) ) ],
% 0.38/0.93 [ =( identity, divide( X, X ) ) ],
% 0.38/0.93 [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ) ]
% 0.38/0.93 ] .
% 0.38/0.93
% 0.38/0.93
% 0.38/0.93 percentage equality = 1.000000, percentage horn = 1.000000
% 0.38/0.93 This is a pure equality problem
% 0.38/0.93
% 0.38/0.93
% 0.38/0.93
% 0.38/0.93 Options Used:
% 0.38/0.93
% 0.38/0.93 useres = 1
% 0.38/0.93 useparamod = 1
% 0.38/0.93 useeqrefl = 1
% 0.38/0.93 useeqfact = 1
% 0.38/0.93 usefactor = 1
% 0.38/0.93 usesimpsplitting = 0
% 0.38/0.93 usesimpdemod = 5
% 0.38/0.93 usesimpres = 3
% 0.38/0.93
% 0.38/0.93 resimpinuse = 1000
% 0.38/0.93 resimpclauses = 20000
% 0.38/0.93 substype = eqrewr
% 0.38/0.93 backwardsubs = 1
% 0.38/0.93 selectoldest = 5
% 0.38/0.93
% 0.38/0.93 litorderings [0] = split
% 0.38/0.93 litorderings [1] = extend the termordering, first sorting on arguments
% 0.38/0.93
% 0.38/0.93 termordering = kbo
% 0.38/0.93
% 0.38/0.93 litapriori = 0
% 0.38/0.93 termapriori = 1
% 0.38/0.93 litaposteriori = 0
% 0.38/0.93 termaposteriori = 0
% 0.38/0.93 demodaposteriori = 0
% 0.38/0.93 ordereqreflfact = 0
% 0.38/0.93
% 0.38/0.93 litselect = negord
% 0.38/0.93
% 0.38/0.93 maxweight = 15
% 0.38/0.93 maxdepth = 30000
% 0.38/0.93 maxlength = 115
% 0.38/0.93 maxnrvars = 195
% 0.38/0.93 excuselevel = 1
% 0.38/0.93 increasemaxweight = 1
% 0.38/0.93
% 0.38/0.93 maxselected = 10000000
% 0.38/0.93 maxnrclauses = 10000000
% 0.38/0.93
% 0.38/0.93 showgenerated = 0
% 0.38/0.93 showkept = 0
% 0.38/0.93 showselected = 0
% 0.38/0.93 showdeleted = 0
% 0.38/0.93 showresimp = 1
% 0.38/0.93 showstatus = 2000
% 0.38/0.93
% 0.38/0.93 prologoutput = 1
% 0.38/0.93 nrgoals = 5000000
% 0.38/0.93 totalproof = 1
% 0.38/0.93
% 0.38/0.93 Symbols occurring in the translation:
% 0.38/0.93
% 0.38/0.93 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.38/0.93 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.38/0.93 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.38/0.93 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.38/0.93 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.38/0.93 divide [40, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.38/0.93 identity [42, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.38/0.93 multiply [44, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.38/0.93 inverse [45, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.38/0.93 a1 [46, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.38/0.93
% 0.38/0.93
% 0.38/0.93 Starting Search:
% 0.38/0.93
% 0.38/0.93
% 0.38/0.93 Bliksems!, er is een bewijs:
% 0.38/0.93 % SZS status Unsatisfiable
% 0.38/0.93 % SZS output start Refutation
% 0.38/0.93
% 0.38/0.93 clause( 1, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ] )
% 0.38/0.93 .
% 0.38/0.93 clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.38/0.93 .
% 0.38/0.93 clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.38/0.93 .
% 0.38/0.93 clause( 4, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ) ] )
% 0.38/0.93 .
% 0.38/0.93 clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.38/0.93 .
% 0.38/0.93 clause( 10, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.38/0.93 .
% 0.38/0.93 clause( 11, [] )
% 0.38/0.93 .
% 0.38/0.93
% 0.38/0.93
% 0.38/0.93 % SZS output end Refutation
% 0.38/0.93 found a proof!
% 0.38/0.93
% 0.38/0.93 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.38/0.93
% 0.38/0.93 initialclauses(
% 0.38/0.93 [ clause( 13, [ =( divide( divide( divide( X, X ), divide( X, divide( Y,
% 0.38/0.93 divide( divide( identity, X ), Z ) ) ) ), Z ), Y ) ] )
% 0.38/0.93 , clause( 14, [ =( multiply( X, Y ), divide( X, divide( identity, Y ) ) ) ]
% 0.38/0.93 )
% 0.38/0.93 , clause( 15, [ =( inverse( X ), divide( identity, X ) ) ] )
% 0.38/0.93 , clause( 16, [ =( identity, divide( X, X ) ) ] )
% 0.38/0.93 , clause( 17, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ) ] )
% 0.38/0.93 ] ).
% 0.38/0.93
% 0.38/0.93
% 0.38/0.93
% 0.38/0.93 eqswap(
% 0.38/0.93 clause( 19, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ]
% 0.38/0.93 )
% 0.38/0.93 , clause( 14, [ =( multiply( X, Y ), divide( X, divide( identity, Y ) ) ) ]
% 0.38/0.93 )
% 0.38/0.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.38/0.93
% 0.38/0.93
% 0.38/0.93 subsumption(
% 0.38/0.93 clause( 1, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ] )
% 0.38/0.93 , clause( 19, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ]
% 0.38/0.93 )
% 0.38/0.93 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.38/0.93 )] ) ).
% 0.38/0.93
% 0.38/0.93
% 0.38/0.93 eqswap(
% 0.38/0.93 clause( 22, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.38/0.93 , clause( 15, [ =( inverse( X ), divide( identity, X ) ) ] )
% 0.38/0.93 , 0, substitution( 0, [ :=( X, X )] )).
% 0.38/0.93
% 0.38/0.93
% 0.38/0.93 subsumption(
% 0.38/0.93 clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.38/0.93 , clause( 22, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.38/0.93 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.38/0.93
% 0.38/0.93
% 0.38/0.93 eqswap(
% 0.38/0.93 clause( 26, [ =( divide( X, X ), identity ) ] )
% 0.38/0.93 , clause( 16, [ =( identity, divide( X, X ) ) ] )
% 0.38/0.93 , 0, substitution( 0, [ :=( X, X )] )).
% 0.38/0.93
% 0.38/0.93
% 0.38/0.93 subsumption(
% 0.38/0.93 clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.38/0.93 , clause( 26, [ =( divide( X, X ), identity ) ] )
% 0.38/0.93 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.38/0.93
% 0.38/0.93
% 0.38/0.93 subsumption(
% 0.38/0.93 clause( 4, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ) ] )
% 0.38/0.93 , clause( 17, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ) ] )
% 0.38/0.93 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.38/0.93
% 0.38/0.93
% 0.38/0.93 paramod(
% 0.38/0.93 clause( 34, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.38/0.93 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.38/0.93 , 0, clause( 1, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) )
% 0.38/0.93 ] )
% 0.38/0.93 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.38/0.93 :=( Y, Y )] )).
% 0.38/0.93
% 0.38/0.93
% 0.38/0.93 subsumption(
% 0.38/0.93 clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.38/0.93 , clause( 34, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.38/0.93 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.38/0.93 )] ) ).
% 0.38/0.93
% 0.38/0.93
% 0.38/0.93 eqswap(
% 0.38/0.93 clause( 36, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.38/0.93 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.38/0.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.38/0.93
% 0.38/0.93
% 0.38/0.93 paramod(
% 0.38/0.93 clause( 38, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.38/0.93 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.38/0.93 , 0, clause( 36, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.38/0.93 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.38/0.93 :=( X, inverse( X ) ), :=( Y, X )] )).
% 0.38/0.93
% 0.38/0.93
% 0.38/0.93 subsumption(
% 0.38/0.93 clause( 10, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.38/0.93 , clause( 38, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.38/0.93 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.38/0.93
% 0.38/0.93
% 0.38/0.93 eqswap(
% 0.38/0.93 clause( 40, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 0.38/0.93 , clause( 10, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.38/0.93 , 0, substitution( 0, [ :=( X, X )] )).
% 0.38/0.93
% 0.38/0.93
% 0.38/0.93 eqswap(
% 0.38/0.93 clause( 41, [ ~( =( identity, multiply( inverse( a1 ), a1 ) ) ) ] )
% 0.38/0.93 , clause( 4, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ) ] )
% 0.38/0.93 , 0, substitution( 0, [] )).
% 0.38/0.93
% 0.38/0.93
% 0.38/0.93 resolution(
% 0.38/0.93 clause( 42, [] )
% 0.38/0.93 , clause( 41, [ ~( =( identity, multiply( inverse( a1 ), a1 ) ) ) ] )
% 0.38/0.93 , 0, clause( 40, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 0.38/0.93 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a1 )] )).
% 0.38/0.93
% 0.38/0.93
% 0.38/0.93 subsumption(
% 0.38/0.93 clause( 11, [] )
% 0.38/0.93 , clause( 42, [] )
% 0.38/0.93 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.38/0.93
% 0.38/0.93
% 0.38/0.93 end.
% 0.38/0.93
% 0.38/0.93 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.38/0.93
% 0.38/0.93 Memory use:
% 0.38/0.93
% 0.38/0.93 space for terms: 204
% 0.38/0.93 space for clauses: 1216
% 0.38/0.93
% 0.38/0.93
% 0.38/0.93 clauses generated: 23
% 0.38/0.93 clauses kept: 12
% 0.38/0.93 clauses selected: 6
% 0.38/0.93 clauses deleted: 2
% 0.38/0.93 clauses inuse deleted: 0
% 0.38/0.93
% 0.38/0.93 subsentry: 108
% 0.38/0.93 literals s-matched: 50
% 0.38/0.93 literals matched: 50
% 0.38/0.93 full subsumption: 0
% 0.38/0.93
% 0.38/0.93 checksum: 88004298
% 0.38/0.93
% 0.38/0.93
% 0.38/0.93 Bliksem ended
%------------------------------------------------------------------------------