TSTP Solution File: GRP158-1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP158-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 07:35:37 EDT 2022
% Result : Unsatisfiable 0.70s 1.09s
% Output : Refutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP158-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.04/0.13 % Command : bliksem %s
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Mon Jun 13 08:35:02 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.70/1.09 *** allocated 10000 integers for termspace/termends
% 0.70/1.09 *** allocated 10000 integers for clauses
% 0.70/1.09 *** allocated 10000 integers for justifications
% 0.70/1.09 Bliksem 1.12
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Automatic Strategy Selection
% 0.70/1.09
% 0.70/1.09 Clauses:
% 0.70/1.09 [
% 0.70/1.09 [ =( multiply( identity, X ), X ) ],
% 0.70/1.09 [ =( multiply( inverse( X ), X ), identity ) ],
% 0.70/1.09 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 0.70/1.09 ],
% 0.70/1.09 [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ]
% 0.70/1.09 ,
% 0.70/1.09 [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ],
% 0.70/1.09 [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.70/1.09 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ],
% 0.70/1.09 [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 0.70/1.09 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ],
% 0.70/1.09 [ =( 'least_upper_bound'( X, X ), X ) ],
% 0.70/1.09 [ =( 'greatest_lower_bound'( X, X ), X ) ],
% 0.70/1.09 [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X ) ]
% 0.70/1.09 ,
% 0.70/1.09 [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ), X ) ]
% 0.70/1.09 ,
% 0.70/1.09 [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'(
% 0.70/1.09 multiply( X, Y ), multiply( X, Z ) ) ) ],
% 0.70/1.09 [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.70/1.09 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ],
% 0.70/1.09 [ =( multiply( 'least_upper_bound'( X, Y ), Z ), 'least_upper_bound'(
% 0.70/1.09 multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 0.70/1.09 [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 0.70/1.09 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 0.70/1.09 [ =( 'greatest_lower_bound'( a, b ), a ) ],
% 0.70/1.09 [ ~( =( 'greatest_lower_bound'( multiply( c, a ), multiply( c, b ) ),
% 0.70/1.09 multiply( c, a ) ) ) ]
% 0.70/1.09 ] .
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 percentage equality = 1.000000, percentage horn = 1.000000
% 0.70/1.09 This is a pure equality problem
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Options Used:
% 0.70/1.09
% 0.70/1.09 useres = 1
% 0.70/1.09 useparamod = 1
% 0.70/1.09 useeqrefl = 1
% 0.70/1.09 useeqfact = 1
% 0.70/1.09 usefactor = 1
% 0.70/1.09 usesimpsplitting = 0
% 0.70/1.09 usesimpdemod = 5
% 0.70/1.09 usesimpres = 3
% 0.70/1.09
% 0.70/1.09 resimpinuse = 1000
% 0.70/1.09 resimpclauses = 20000
% 0.70/1.09 substype = eqrewr
% 0.70/1.09 backwardsubs = 1
% 0.70/1.09 selectoldest = 5
% 0.70/1.09
% 0.70/1.09 litorderings [0] = split
% 0.70/1.09 litorderings [1] = extend the termordering, first sorting on arguments
% 0.70/1.09
% 0.70/1.09 termordering = kbo
% 0.70/1.09
% 0.70/1.09 litapriori = 0
% 0.70/1.09 termapriori = 1
% 0.70/1.09 litaposteriori = 0
% 0.70/1.09 termaposteriori = 0
% 0.70/1.09 demodaposteriori = 0
% 0.70/1.09 ordereqreflfact = 0
% 0.70/1.09
% 0.70/1.09 litselect = negord
% 0.70/1.09
% 0.70/1.09 maxweight = 15
% 0.70/1.09 maxdepth = 30000
% 0.70/1.09 maxlength = 115
% 0.70/1.09 maxnrvars = 195
% 0.70/1.09 excuselevel = 1
% 0.70/1.09 increasemaxweight = 1
% 0.70/1.09
% 0.70/1.09 maxselected = 10000000
% 0.70/1.09 maxnrclauses = 10000000
% 0.70/1.09
% 0.70/1.09 showgenerated = 0
% 0.70/1.09 showkept = 0
% 0.70/1.09 showselected = 0
% 0.70/1.09 showdeleted = 0
% 0.70/1.09 showresimp = 1
% 0.70/1.09 showstatus = 2000
% 0.70/1.09
% 0.70/1.09 prologoutput = 1
% 0.70/1.09 nrgoals = 5000000
% 0.70/1.09 totalproof = 1
% 0.70/1.09
% 0.70/1.09 Symbols occurring in the translation:
% 0.70/1.09
% 0.70/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.70/1.09 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.70/1.09 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.70/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.09 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.70/1.09 multiply [41, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.70/1.09 inverse [42, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.70/1.09 'greatest_lower_bound' [45, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.70/1.09 'least_upper_bound' [46, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.70/1.09 a [47, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.70/1.09 b [48, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.70/1.09 c [49, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Starting Search:
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Bliksems!, er is een bewijs:
% 0.70/1.09 % SZS status Unsatisfiable
% 0.70/1.09 % SZS output start Refutation
% 0.70/1.09
% 0.70/1.09 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 0.70/1.09 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 15, [ =( 'greatest_lower_bound'( a, b ), a ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 16, [] )
% 0.70/1.09 .
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 % SZS output end Refutation
% 0.70/1.09 found a proof!
% 0.70/1.09
% 0.70/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.09
% 0.70/1.09 initialclauses(
% 0.70/1.09 [ clause( 18, [ =( multiply( identity, X ), X ) ] )
% 0.70/1.09 , clause( 19, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.70/1.09 , clause( 20, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.70/1.09 Y, Z ) ) ) ] )
% 0.70/1.09 , clause( 21, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 0.70/1.09 Y, X ) ) ] )
% 0.70/1.09 , clause( 22, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 0.70/1.09 ) ] )
% 0.70/1.09 , clause( 23, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z
% 0.70/1.09 ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 0.70/1.09 , clause( 24, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 0.70/1.09 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.70/1.09 , clause( 25, [ =( 'least_upper_bound'( X, X ), X ) ] )
% 0.70/1.09 , clause( 26, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 0.70/1.09 , clause( 27, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 0.70/1.09 , X ) ] )
% 0.70/1.09 , clause( 28, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 0.70/1.09 , X ) ] )
% 0.70/1.09 , clause( 29, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 0.70/1.09 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.70/1.09 , clause( 30, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.70/1.09 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.70/1.09 , clause( 31, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 0.70/1.09 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 0.70/1.09 , clause( 32, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 0.70/1.09 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 0.70/1.09 , clause( 33, [ =( 'greatest_lower_bound'( a, b ), a ) ] )
% 0.70/1.09 , clause( 34, [ ~( =( 'greatest_lower_bound'( multiply( c, a ), multiply( c
% 0.70/1.09 , b ) ), multiply( c, a ) ) ) ] )
% 0.70/1.09 ] ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 45, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 0.70/1.09 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.70/1.09 , clause( 30, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.70/1.09 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 0.70/1.09 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.70/1.09 , clause( 45, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 0.70/1.09 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.70/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 15, [ =( 'greatest_lower_bound'( a, b ), a ) ] )
% 0.70/1.09 , clause( 33, [ =( 'greatest_lower_bound'( a, b ), a ) ] )
% 0.70/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 111, [ ~( =( multiply( c, 'greatest_lower_bound'( a, b ) ),
% 0.70/1.09 multiply( c, a ) ) ) ] )
% 0.70/1.09 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 0.70/1.09 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.70/1.09 , 0, clause( 34, [ ~( =( 'greatest_lower_bound'( multiply( c, a ), multiply(
% 0.70/1.09 c, b ) ), multiply( c, a ) ) ) ] )
% 0.70/1.09 , 0, 2, substitution( 0, [ :=( X, c ), :=( Y, a ), :=( Z, b )] ),
% 0.70/1.09 substitution( 1, [] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 112, [ ~( =( multiply( c, a ), multiply( c, a ) ) ) ] )
% 0.70/1.09 , clause( 15, [ =( 'greatest_lower_bound'( a, b ), a ) ] )
% 0.70/1.09 , 0, clause( 111, [ ~( =( multiply( c, 'greatest_lower_bound'( a, b ) ),
% 0.70/1.09 multiply( c, a ) ) ) ] )
% 0.70/1.09 , 0, 4, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqrefl(
% 0.70/1.09 clause( 113, [] )
% 0.70/1.09 , clause( 112, [ ~( =( multiply( c, a ), multiply( c, a ) ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 16, [] )
% 0.70/1.09 , clause( 113, [] )
% 0.70/1.09 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 end.
% 0.70/1.09
% 0.70/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.09
% 0.70/1.09 Memory use:
% 0.70/1.09
% 0.70/1.09 space for terms: 516
% 0.70/1.09 space for clauses: 1686
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 clauses generated: 17
% 0.70/1.09 clauses kept: 17
% 0.70/1.09 clauses selected: 0
% 0.70/1.09 clauses deleted: 0
% 0.70/1.09 clauses inuse deleted: 0
% 0.70/1.09
% 0.70/1.09 subsentry: 307
% 0.70/1.09 literals s-matched: 134
% 0.70/1.09 literals matched: 134
% 0.70/1.09 full subsumption: 0
% 0.70/1.09
% 0.70/1.09 checksum: 1311773
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Bliksem ended
%------------------------------------------------------------------------------