TSTP Solution File: GRP137-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP137-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n006.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 07:35:32 EDT 2022
% Result : Unsatisfiable 0.69s 1.07s
% Output : Refutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP137-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.06/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n006.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 : Mon Jun 13 19:54:41 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.69/1.07 *** allocated 10000 integers for termspace/termends
% 0.69/1.07 *** allocated 10000 integers for clauses
% 0.69/1.07 *** allocated 10000 integers for justifications
% 0.69/1.07 Bliksem 1.12
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 Automatic Strategy Selection
% 0.69/1.07
% 0.69/1.07 Clauses:
% 0.69/1.07 [
% 0.69/1.07 [ =( multiply( identity, X ), X ) ],
% 0.69/1.07 [ =( multiply( inverse( X ), X ), identity ) ],
% 0.69/1.07 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 0.69/1.07 ],
% 0.69/1.07 [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ]
% 0.69/1.07 ,
% 0.69/1.07 [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ],
% 0.69/1.07 [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.69/1.07 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ],
% 0.69/1.07 [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 0.69/1.07 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ],
% 0.69/1.07 [ =( 'least_upper_bound'( X, X ), X ) ],
% 0.69/1.07 [ =( 'greatest_lower_bound'( X, X ), X ) ],
% 0.69/1.07 [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X ) ]
% 0.69/1.07 ,
% 0.69/1.07 [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ), X ) ]
% 0.69/1.07 ,
% 0.69/1.07 [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'(
% 0.69/1.07 multiply( X, Y ), multiply( X, Z ) ) ) ],
% 0.69/1.07 [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.69/1.07 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ],
% 0.69/1.07 [ =( multiply( 'least_upper_bound'( X, Y ), Z ), 'least_upper_bound'(
% 0.69/1.07 multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 0.69/1.07 [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 0.69/1.07 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 0.69/1.07 [ =( 'greatest_lower_bound'( a, b ), a ) ],
% 0.69/1.07 [ =( 'greatest_lower_bound'( a, b ), b ) ],
% 0.69/1.07 [ ~( =( a, b ) ) ]
% 0.69/1.07 ] .
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 percentage equality = 1.000000, percentage horn = 1.000000
% 0.69/1.07 This is a pure equality problem
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 Options Used:
% 0.69/1.07
% 0.69/1.07 useres = 1
% 0.69/1.07 useparamod = 1
% 0.69/1.07 useeqrefl = 1
% 0.69/1.07 useeqfact = 1
% 0.69/1.07 usefactor = 1
% 0.69/1.07 usesimpsplitting = 0
% 0.69/1.07 usesimpdemod = 5
% 0.69/1.07 usesimpres = 3
% 0.69/1.07
% 0.69/1.07 resimpinuse = 1000
% 0.69/1.07 resimpclauses = 20000
% 0.69/1.07 substype = eqrewr
% 0.69/1.07 backwardsubs = 1
% 0.69/1.07 selectoldest = 5
% 0.69/1.07
% 0.69/1.07 litorderings [0] = split
% 0.69/1.07 litorderings [1] = extend the termordering, first sorting on arguments
% 0.69/1.07
% 0.69/1.07 termordering = kbo
% 0.69/1.07
% 0.69/1.07 litapriori = 0
% 0.69/1.07 termapriori = 1
% 0.69/1.07 litaposteriori = 0
% 0.69/1.07 termaposteriori = 0
% 0.69/1.07 demodaposteriori = 0
% 0.69/1.07 ordereqreflfact = 0
% 0.69/1.07
% 0.69/1.07 litselect = negord
% 0.69/1.07
% 0.69/1.07 maxweight = 15
% 0.69/1.07 maxdepth = 30000
% 0.69/1.07 maxlength = 115
% 0.69/1.07 maxnrvars = 195
% 0.69/1.07 excuselevel = 1
% 0.69/1.07 increasemaxweight = 1
% 0.69/1.07
% 0.69/1.07 maxselected = 10000000
% 0.69/1.07 maxnrclauses = 10000000
% 0.69/1.07
% 0.69/1.07 showgenerated = 0
% 0.69/1.07 showkept = 0
% 0.69/1.07 showselected = 0
% 0.69/1.07 showdeleted = 0
% 0.69/1.07 showresimp = 1
% 0.69/1.07 showstatus = 2000
% 0.69/1.07
% 0.69/1.07 prologoutput = 1
% 0.69/1.07 nrgoals = 5000000
% 0.69/1.07 totalproof = 1
% 0.69/1.07
% 0.69/1.07 Symbols occurring in the translation:
% 0.69/1.07
% 0.69/1.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.69/1.07 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.69/1.07 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.69/1.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.07 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.69/1.07 multiply [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.69/1.07 inverse [42, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.69/1.07 'greatest_lower_bound' [45, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.69/1.07 'least_upper_bound' [46, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.69/1.07 a [47, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.69/1.07 b [48, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 Starting Search:
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 Bliksems!, er is een bewijs:
% 0.69/1.07 % SZS status Unsatisfiable
% 0.69/1.07 % SZS output start Refutation
% 0.69/1.07
% 0.69/1.07 clause( 15, [ =( 'greatest_lower_bound'( a, b ), a ) ] )
% 0.69/1.07 .
% 0.69/1.07 clause( 16, [ =( b, a ) ] )
% 0.69/1.07 .
% 0.69/1.07 clause( 17, [] )
% 0.69/1.07 .
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 % SZS output end Refutation
% 0.69/1.07 found a proof!
% 0.69/1.07
% 0.69/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.07
% 0.69/1.07 initialclauses(
% 0.69/1.07 [ clause( 19, [ =( multiply( identity, X ), X ) ] )
% 0.69/1.07 , clause( 20, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.69/1.07 , clause( 21, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.69/1.07 Y, Z ) ) ) ] )
% 0.69/1.07 , clause( 22, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 0.69/1.07 Y, X ) ) ] )
% 0.69/1.07 , clause( 23, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 0.69/1.07 ) ] )
% 0.69/1.07 , clause( 24, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z
% 0.69/1.07 ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 0.69/1.07 , clause( 25, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 0.69/1.07 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.69/1.07 , clause( 26, [ =( 'least_upper_bound'( X, X ), X ) ] )
% 0.69/1.07 , clause( 27, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 0.69/1.07 , clause( 28, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 0.69/1.07 , X ) ] )
% 0.69/1.07 , clause( 29, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 0.69/1.07 , X ) ] )
% 0.69/1.07 , clause( 30, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 0.69/1.07 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.69/1.07 , clause( 31, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.69/1.07 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.69/1.07 , clause( 32, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 0.69/1.07 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 0.69/1.07 , clause( 33, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 0.69/1.07 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 0.69/1.07 , clause( 34, [ =( 'greatest_lower_bound'( a, b ), a ) ] )
% 0.69/1.07 , clause( 35, [ =( 'greatest_lower_bound'( a, b ), b ) ] )
% 0.69/1.07 , clause( 36, [ ~( =( a, b ) ) ] )
% 0.69/1.07 ] ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 15, [ =( 'greatest_lower_bound'( a, b ), a ) ] )
% 0.69/1.07 , clause( 34, [ =( 'greatest_lower_bound'( a, b ), a ) ] )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 paramod(
% 0.69/1.07 clause( 85, [ =( a, b ) ] )
% 0.69/1.07 , clause( 15, [ =( 'greatest_lower_bound'( a, b ), a ) ] )
% 0.69/1.07 , 0, clause( 35, [ =( 'greatest_lower_bound'( a, b ), b ) ] )
% 0.69/1.07 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 eqswap(
% 0.69/1.07 clause( 86, [ =( b, a ) ] )
% 0.69/1.07 , clause( 85, [ =( a, b ) ] )
% 0.69/1.07 , 0, substitution( 0, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 16, [ =( b, a ) ] )
% 0.69/1.07 , clause( 86, [ =( b, a ) ] )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 paramod(
% 0.69/1.07 clause( 129, [ ~( =( a, a ) ) ] )
% 0.69/1.07 , clause( 16, [ =( b, a ) ] )
% 0.69/1.07 , 0, clause( 36, [ ~( =( a, b ) ) ] )
% 0.69/1.07 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 eqrefl(
% 0.69/1.07 clause( 130, [] )
% 0.69/1.07 , clause( 129, [ ~( =( a, a ) ) ] )
% 0.69/1.07 , 0, substitution( 0, [] )).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 subsumption(
% 0.69/1.07 clause( 17, [] )
% 0.69/1.07 , clause( 130, [] )
% 0.69/1.07 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 end.
% 0.69/1.07
% 0.69/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.07
% 0.69/1.07 Memory use:
% 0.69/1.07
% 0.69/1.07 space for terms: 517
% 0.69/1.07 space for clauses: 1742
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 clauses generated: 18
% 0.69/1.07 clauses kept: 18
% 0.69/1.07 clauses selected: 0
% 0.69/1.07 clauses deleted: 0
% 0.69/1.07 clauses inuse deleted: 0
% 0.69/1.07
% 0.69/1.07 subsentry: 311
% 0.69/1.07 literals s-matched: 125
% 0.69/1.07 literals matched: 125
% 0.69/1.07 full subsumption: 0
% 0.69/1.07
% 0.69/1.07 checksum: 2367650
% 0.69/1.07
% 0.69/1.07
% 0.69/1.07 Bliksem ended
%------------------------------------------------------------------------------