TSTP Solution File: RNG011-5 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : RNG011-5 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.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 : Mon Jul 18 20:16:06 EDT 2022
% Result : Unsatisfiable 0.44s 1.11s
% Output : Refutation 0.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : RNG011-5 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Mon May 30 19:55:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.44/1.11 *** allocated 10000 integers for termspace/termends
% 0.44/1.11 *** allocated 10000 integers for clauses
% 0.44/1.11 *** allocated 10000 integers for justifications
% 0.44/1.11 Bliksem 1.12
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 Automatic Strategy Selection
% 0.44/1.11
% 0.44/1.11 Clauses:
% 0.44/1.11 [
% 0.44/1.11 [ =( add( X, Y ), add( Y, X ) ) ],
% 0.44/1.11 [ =( add( add( X, Y ), Z ), add( X, add( Y, Z ) ) ) ],
% 0.44/1.11 [ =( add( X, 'additive_identity' ), X ) ],
% 0.44/1.11 [ =( add( 'additive_identity', X ), X ) ],
% 0.44/1.11 [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity' ) ],
% 0.44/1.11 [ =( add( 'additive_inverse'( X ), X ), 'additive_identity' ) ],
% 0.44/1.11 [ =( 'additive_inverse'( 'additive_identity' ), 'additive_identity' ) ]
% 0.44/1.11 ,
% 0.44/1.11 [ =( add( X, add( 'additive_inverse'( X ), Y ) ), Y ) ],
% 0.44/1.11 [ =( 'additive_inverse'( add( X, Y ) ), add( 'additive_inverse'( X ),
% 0.44/1.11 'additive_inverse'( Y ) ) ) ],
% 0.44/1.11 [ =( 'additive_inverse'( 'additive_inverse'( X ) ), X ) ],
% 0.44/1.11 [ =( multiply( X, 'additive_identity' ), 'additive_identity' ) ],
% 0.44/1.11 [ =( multiply( 'additive_identity', X ), 'additive_identity' ) ],
% 0.44/1.11 [ =( multiply( 'additive_inverse'( X ), 'additive_inverse'( Y ) ),
% 0.44/1.11 multiply( X, Y ) ) ],
% 0.44/1.11 [ =( multiply( X, 'additive_inverse'( Y ) ), 'additive_inverse'(
% 0.44/1.11 multiply( X, Y ) ) ) ],
% 0.44/1.11 [ =( multiply( 'additive_inverse'( X ), Y ), 'additive_inverse'(
% 0.44/1.11 multiply( X, Y ) ) ) ],
% 0.44/1.11 [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ), multiply( X, Z )
% 0.44/1.11 ) ) ],
% 0.44/1.11 [ =( multiply( add( X, Y ), Z ), add( multiply( X, Z ), multiply( Y, Z )
% 0.44/1.11 ) ) ],
% 0.44/1.11 [ =( multiply( multiply( X, Y ), Y ), multiply( X, multiply( Y, Y ) ) )
% 0.44/1.11 ],
% 0.44/1.11 [ =( associator( X, Y, Z ), add( multiply( multiply( X, Y ), Z ),
% 0.44/1.11 'additive_inverse'( multiply( X, multiply( Y, Z ) ) ) ) ) ],
% 0.44/1.11 [ =( commutator( X, Y ), add( multiply( Y, X ), 'additive_inverse'(
% 0.44/1.11 multiply( X, Y ) ) ) ) ],
% 0.44/1.11 [ =( multiply( multiply( associator( X, X, Y ), X ), associator( X, X, Y
% 0.44/1.11 ) ), 'additive_identity' ) ],
% 0.44/1.11 [ ~( =( multiply( multiply( associator( a, a, b ), a ), associator( a, a
% 0.44/1.11 , b ) ), 'additive_identity' ) ) ]
% 0.44/1.11 ] .
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 percentage equality = 1.000000, percentage horn = 1.000000
% 0.44/1.11 This is a pure equality problem
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 Options Used:
% 0.44/1.11
% 0.44/1.11 useres = 1
% 0.44/1.11 useparamod = 1
% 0.44/1.11 useeqrefl = 1
% 0.44/1.11 useeqfact = 1
% 0.44/1.11 usefactor = 1
% 0.44/1.11 usesimpsplitting = 0
% 0.44/1.11 usesimpdemod = 5
% 0.44/1.11 usesimpres = 3
% 0.44/1.11
% 0.44/1.11 resimpinuse = 1000
% 0.44/1.11 resimpclauses = 20000
% 0.44/1.11 substype = eqrewr
% 0.44/1.11 backwardsubs = 1
% 0.44/1.11 selectoldest = 5
% 0.44/1.11
% 0.44/1.11 litorderings [0] = split
% 0.44/1.11 litorderings [1] = extend the termordering, first sorting on arguments
% 0.44/1.11
% 0.44/1.11 termordering = kbo
% 0.44/1.11
% 0.44/1.11 litapriori = 0
% 0.44/1.11 termapriori = 1
% 0.44/1.11 litaposteriori = 0
% 0.44/1.11 termaposteriori = 0
% 0.44/1.11 demodaposteriori = 0
% 0.44/1.11 ordereqreflfact = 0
% 0.44/1.11
% 0.44/1.11 litselect = negord
% 0.44/1.11
% 0.44/1.11 maxweight = 15
% 0.44/1.11 maxdepth = 30000
% 0.44/1.11 maxlength = 115
% 0.44/1.11 maxnrvars = 195
% 0.44/1.11 excuselevel = 1
% 0.44/1.11 increasemaxweight = 1
% 0.44/1.11
% 0.44/1.11 maxselected = 10000000
% 0.44/1.11 maxnrclauses = 10000000
% 0.44/1.11
% 0.44/1.11 showgenerated = 0
% 0.44/1.11 showkept = 0
% 0.44/1.11 showselected = 0
% 0.44/1.11 showdeleted = 0
% 0.44/1.11 showresimp = 1
% 0.44/1.11 showstatus = 2000
% 0.44/1.11
% 0.44/1.11 prologoutput = 1
% 0.44/1.11 nrgoals = 5000000
% 0.44/1.11 totalproof = 1
% 0.44/1.11
% 0.44/1.11 Symbols occurring in the translation:
% 0.44/1.11
% 0.44/1.11 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.44/1.11 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.44/1.11 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.44/1.11 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.11 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.11 add [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.44/1.11 'additive_identity' [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.44/1.11 'additive_inverse' [44, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.44/1.11 multiply [45, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.44/1.11 associator [46, 3] (w:1, o:49, a:1, s:1, b:0),
% 0.44/1.11 commutator [47, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.44/1.11 a [48, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.44/1.11 b [49, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 Starting Search:
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 Bliksems!, er is een bewijs:
% 0.44/1.11 % SZS status Unsatisfiable
% 0.44/1.11 % SZS output start Refutation
% 0.44/1.11
% 0.44/1.11 clause( 19, [ =( multiply( multiply( associator( X, X, Y ), X ), associator(
% 0.44/1.11 X, X, Y ) ), 'additive_identity' ) ] )
% 0.44/1.11 .
% 0.44/1.11 clause( 20, [] )
% 0.44/1.11 .
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 % SZS output end Refutation
% 0.44/1.11 found a proof!
% 0.44/1.11
% 0.44/1.11 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.44/1.11
% 0.44/1.11 initialclauses(
% 0.44/1.11 [ clause( 22, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.44/1.11 , clause( 23, [ =( add( add( X, Y ), Z ), add( X, add( Y, Z ) ) ) ] )
% 0.44/1.11 , clause( 24, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.44/1.11 , clause( 25, [ =( add( 'additive_identity', X ), X ) ] )
% 0.44/1.11 , clause( 26, [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity' )
% 0.44/1.11 ] )
% 0.44/1.11 , clause( 27, [ =( add( 'additive_inverse'( X ), X ), 'additive_identity' )
% 0.44/1.11 ] )
% 0.44/1.11 , clause( 28, [ =( 'additive_inverse'( 'additive_identity' ),
% 0.44/1.11 'additive_identity' ) ] )
% 0.44/1.11 , clause( 29, [ =( add( X, add( 'additive_inverse'( X ), Y ) ), Y ) ] )
% 0.44/1.11 , clause( 30, [ =( 'additive_inverse'( add( X, Y ) ), add(
% 0.44/1.11 'additive_inverse'( X ), 'additive_inverse'( Y ) ) ) ] )
% 0.44/1.11 , clause( 31, [ =( 'additive_inverse'( 'additive_inverse'( X ) ), X ) ] )
% 0.44/1.11 , clause( 32, [ =( multiply( X, 'additive_identity' ), 'additive_identity'
% 0.44/1.11 ) ] )
% 0.44/1.11 , clause( 33, [ =( multiply( 'additive_identity', X ), 'additive_identity'
% 0.44/1.11 ) ] )
% 0.44/1.11 , clause( 34, [ =( multiply( 'additive_inverse'( X ), 'additive_inverse'( Y
% 0.44/1.11 ) ), multiply( X, Y ) ) ] )
% 0.44/1.11 , clause( 35, [ =( multiply( X, 'additive_inverse'( Y ) ),
% 0.44/1.11 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 0.44/1.11 , clause( 36, [ =( multiply( 'additive_inverse'( X ), Y ),
% 0.44/1.11 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 0.44/1.11 , clause( 37, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.44/1.11 multiply( X, Z ) ) ) ] )
% 0.44/1.11 , clause( 38, [ =( multiply( add( X, Y ), Z ), add( multiply( X, Z ),
% 0.44/1.11 multiply( Y, Z ) ) ) ] )
% 0.44/1.11 , clause( 39, [ =( multiply( multiply( X, Y ), Y ), multiply( X, multiply(
% 0.44/1.11 Y, Y ) ) ) ] )
% 0.44/1.11 , clause( 40, [ =( associator( X, Y, Z ), add( multiply( multiply( X, Y ),
% 0.44/1.11 Z ), 'additive_inverse'( multiply( X, multiply( Y, Z ) ) ) ) ) ] )
% 0.44/1.11 , clause( 41, [ =( commutator( X, Y ), add( multiply( Y, X ),
% 0.44/1.11 'additive_inverse'( multiply( X, Y ) ) ) ) ] )
% 0.44/1.11 , clause( 42, [ =( multiply( multiply( associator( X, X, Y ), X ),
% 0.44/1.11 associator( X, X, Y ) ), 'additive_identity' ) ] )
% 0.44/1.11 , clause( 43, [ ~( =( multiply( multiply( associator( a, a, b ), a ),
% 0.44/1.11 associator( a, a, b ) ), 'additive_identity' ) ) ] )
% 0.44/1.11 ] ).
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 subsumption(
% 0.44/1.11 clause( 19, [ =( multiply( multiply( associator( X, X, Y ), X ), associator(
% 0.44/1.11 X, X, Y ) ), 'additive_identity' ) ] )
% 0.44/1.11 , clause( 42, [ =( multiply( multiply( associator( X, X, Y ), X ),
% 0.44/1.11 associator( X, X, Y ) ), 'additive_identity' ) ] )
% 0.44/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.44/1.11 )] ) ).
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 paramod(
% 0.44/1.11 clause( 109, [ ~( =( 'additive_identity', 'additive_identity' ) ) ] )
% 0.44/1.11 , clause( 19, [ =( multiply( multiply( associator( X, X, Y ), X ),
% 0.44/1.11 associator( X, X, Y ) ), 'additive_identity' ) ] )
% 0.44/1.11 , 0, clause( 43, [ ~( =( multiply( multiply( associator( a, a, b ), a ),
% 0.44/1.11 associator( a, a, b ) ), 'additive_identity' ) ) ] )
% 0.44/1.11 , 0, 2, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 0.44/1.11 ).
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 eqrefl(
% 0.44/1.11 clause( 110, [] )
% 0.44/1.11 , clause( 109, [ ~( =( 'additive_identity', 'additive_identity' ) ) ] )
% 0.44/1.11 , 0, substitution( 0, [] )).
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 subsumption(
% 0.44/1.11 clause( 20, [] )
% 0.44/1.11 , clause( 110, [] )
% 0.44/1.11 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 end.
% 0.44/1.11
% 0.44/1.11 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.44/1.11
% 0.44/1.11 Memory use:
% 0.44/1.11
% 0.44/1.11 space for terms: 664
% 0.44/1.11 space for clauses: 2105
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 clauses generated: 22
% 0.44/1.11 clauses kept: 21
% 0.44/1.11 clauses selected: 0
% 0.44/1.11 clauses deleted: 0
% 0.44/1.11 clauses inuse deleted: 0
% 0.44/1.11
% 0.44/1.11 subsentry: 252
% 0.44/1.11 literals s-matched: 106
% 0.44/1.11 literals matched: 106
% 0.44/1.11 full subsumption: 0
% 0.44/1.11
% 0.44/1.11 checksum: -2798889
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 Bliksem ended
%------------------------------------------------------------------------------