TSTP Solution File: RNG010-2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : RNG010-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n022.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 20:16:05 EDT 2022
% Result : Unsatisfiable 0.43s 1.11s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG010-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Mon May 30 07:06:22 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.43/1.11 *** allocated 10000 integers for termspace/termends
% 0.43/1.11 *** allocated 10000 integers for clauses
% 0.43/1.11 *** allocated 10000 integers for justifications
% 0.43/1.11 Bliksem 1.12
% 0.43/1.11
% 0.43/1.11
% 0.43/1.11 Automatic Strategy Selection
% 0.43/1.11
% 0.43/1.11 Clauses:
% 0.43/1.11 [
% 0.43/1.11 [ =( add( 'additive_identity', X ), X ) ],
% 0.43/1.11 [ =( multiply( 'additive_identity', X ), 'additive_identity' ) ],
% 0.43/1.11 [ =( multiply( X, 'additive_identity' ), 'additive_identity' ) ],
% 0.43/1.11 [ =( add( 'additive_inverse'( X ), X ), 'additive_identity' ) ],
% 0.43/1.11 [ =( 'additive_inverse'( add( X, Y ) ), add( 'additive_inverse'( X ),
% 0.43/1.11 'additive_inverse'( Y ) ) ) ],
% 0.43/1.11 [ =( 'additive_inverse'( 'additive_inverse'( X ) ), X ) ],
% 0.43/1.11 [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ), multiply( X, Z )
% 0.43/1.11 ) ) ],
% 0.43/1.11 [ =( multiply( add( X, Y ), Z ), add( multiply( X, Z ), multiply( Y, Z )
% 0.43/1.11 ) ) ],
% 0.43/1.11 [ =( multiply( multiply( X, Y ), Y ), multiply( X, multiply( Y, Y ) ) )
% 0.43/1.11 ],
% 0.43/1.11 [ =( multiply( multiply( X, X ), Y ), multiply( X, multiply( X, Y ) ) )
% 0.43/1.11 ],
% 0.43/1.11 [ =( multiply( 'additive_inverse'( X ), Y ), 'additive_inverse'(
% 0.43/1.11 multiply( X, Y ) ) ) ],
% 0.43/1.11 [ =( multiply( X, 'additive_inverse'( Y ) ), 'additive_inverse'(
% 0.43/1.11 multiply( X, Y ) ) ) ],
% 0.43/1.11 [ =( 'additive_inverse'( 'additive_identity' ), 'additive_identity' ) ]
% 0.43/1.11 ,
% 0.43/1.11 [ =( add( X, Y ), add( Y, X ) ) ],
% 0.43/1.11 [ =( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ],
% 0.43/1.11 [ ~( =( add( X, Y ), add( Z, Y ) ) ), =( X, Z ) ],
% 0.43/1.11 [ ~( =( add( X, Y ), add( X, Z ) ) ), =( Y, Z ) ],
% 0.43/1.11 [ =( associator( X, Y, Z ), add( multiply( multiply( X, Y ), Z ),
% 0.43/1.11 'additive_inverse'( multiply( X, multiply( Y, Z ) ) ) ) ) ],
% 0.43/1.11 [ ~( =( multiply( multiply( X, Y ), X ), multiply( X, multiply( Y, X ) )
% 0.43/1.11 ) ) ],
% 0.43/1.11 [ ~( =( associator( X, Y, Z ), 'additive_inverse'( associator( Y, X, Z )
% 0.43/1.11 ) ) ) ],
% 0.43/1.11 [ ~( =( associator( X, Y, Z ), 'additive_inverse'( associator( Z, Y, X )
% 0.43/1.11 ) ) ) ],
% 0.43/1.11 [ =( multiply( X, multiply( Y, multiply( Z, Y ) ) ), multiply( multiply(
% 0.43/1.11 multiply( X, Y ), Z ), Y ) ) ],
% 0.43/1.11 [ =( multiply( multiply( X, multiply( Y, X ) ), Z ), multiply( X,
% 0.43/1.11 multiply( Y, multiply( X, Z ) ) ) ) ],
% 0.43/1.11 [ ~( =( associator( multiply( cx, cx ), cy, cz ), add( multiply(
% 0.43/1.11 associator( cx, cy, cz ), cx ), multiply( cx, associator( cx, cy, cz ) )
% 0.43/1.11 ) ) ) ]
% 0.43/1.11 ] .
% 0.43/1.11
% 0.43/1.11
% 0.43/1.11 percentage equality = 1.000000, percentage horn = 1.000000
% 0.43/1.11 This is a pure equality problem
% 0.43/1.11
% 0.43/1.11
% 0.43/1.11
% 0.43/1.11 Options Used:
% 0.43/1.11
% 0.43/1.11 useres = 1
% 0.43/1.11 useparamod = 1
% 0.43/1.11 useeqrefl = 1
% 0.43/1.11 useeqfact = 1
% 0.43/1.11 usefactor = 1
% 0.43/1.11 usesimpsplitting = 0
% 0.43/1.11 usesimpdemod = 5
% 0.43/1.11 usesimpres = 3
% 0.43/1.11
% 0.43/1.11 resimpinuse = 1000
% 0.43/1.11 resimpclauses = 20000
% 0.43/1.11 substype = eqrewr
% 0.43/1.11 backwardsubs = 1
% 0.43/1.11 selectoldest = 5
% 0.43/1.11
% 0.43/1.11 litorderings [0] = split
% 0.43/1.11 litorderings [1] = extend the termordering, first sorting on arguments
% 0.43/1.11
% 0.43/1.11 termordering = kbo
% 0.43/1.11
% 0.43/1.11 litapriori = 0
% 0.43/1.11 termapriori = 1
% 0.43/1.11 litaposteriori = 0
% 0.43/1.11 termaposteriori = 0
% 0.43/1.11 demodaposteriori = 0
% 0.43/1.11 ordereqreflfact = 0
% 0.43/1.11
% 0.43/1.11 litselect = negord
% 0.43/1.11
% 0.43/1.11 maxweight = 15
% 0.43/1.11 maxdepth = 30000
% 0.43/1.11 maxlength = 115
% 0.43/1.11 maxnrvars = 195
% 0.43/1.11 excuselevel = 1
% 0.43/1.11 increasemaxweight = 1
% 0.43/1.11
% 0.43/1.11 maxselected = 10000000
% 0.43/1.11 maxnrclauses = 10000000
% 0.43/1.11
% 0.43/1.11 showgenerated = 0
% 0.43/1.11 showkept = 0
% 0.43/1.11 showselected = 0
% 0.43/1.11 showdeleted = 0
% 0.43/1.11 showresimp = 1
% 0.43/1.11 showstatus = 2000
% 0.43/1.11
% 0.43/1.11 prologoutput = 1
% 0.43/1.11 nrgoals = 5000000
% 0.43/1.11 totalproof = 1
% 0.43/1.11
% 0.43/1.11 Symbols occurring in the translation:
% 0.43/1.11
% 0.43/1.11 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.43/1.11 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.43/1.11 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.43/1.11 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.11 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.11 'additive_identity' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.43/1.11 add [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.43/1.11 multiply [42, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.43/1.11 'additive_inverse' [43, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.43/1.11 associator [46, 3] (w:1, o:49, a:1, s:1, b:0),
% 0.43/1.11 cx [47, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.43/1.11 cy [48, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.43/1.11 cz [49, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.43/1.11
% 0.43/1.11
% 0.43/1.11 Starting Search:
% 0.43/1.11
% 0.43/1.11
% 0.43/1.11 Bliksems!, er is een bewijs:
% 0.43/1.11 % SZS status Unsatisfiable
% 0.43/1.11 % SZS output start Refutation
% 0.43/1.11
% 0.43/1.11 clause( 9, [ =( multiply( X, multiply( X, Y ) ), multiply( multiply( X, X )
% 0.43/1.11 , Y ) ) ] )
% 0.43/1.11 .
% 0.43/1.11 clause( 18, [ ~( =( multiply( X, multiply( Y, X ) ), multiply( multiply( X
% 0.43/1.11 , Y ), X ) ) ) ] )
% 0.43/1.11 .
% 0.43/1.11 clause( 543, [] )
% 0.43/1.11 .
% 0.43/1.11
% 0.43/1.11
% 0.43/1.11 % SZS output end Refutation
% 0.43/1.11 found a proof!
% 0.43/1.11
% 0.43/1.11 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.11
% 0.43/1.11 initialclauses(
% 0.43/1.11 [ clause( 545, [ =( add( 'additive_identity', X ), X ) ] )
% 0.43/1.11 , clause( 546, [ =( multiply( 'additive_identity', X ), 'additive_identity'
% 0.43/1.11 ) ] )
% 0.43/1.11 , clause( 547, [ =( multiply( X, 'additive_identity' ), 'additive_identity'
% 0.43/1.11 ) ] )
% 0.43/1.11 , clause( 548, [ =( add( 'additive_inverse'( X ), X ), 'additive_identity'
% 0.43/1.11 ) ] )
% 0.43/1.11 , clause( 549, [ =( 'additive_inverse'( add( X, Y ) ), add(
% 0.43/1.11 'additive_inverse'( X ), 'additive_inverse'( Y ) ) ) ] )
% 0.43/1.11 , clause( 550, [ =( 'additive_inverse'( 'additive_inverse'( X ) ), X ) ] )
% 0.43/1.11 , clause( 551, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.43/1.11 multiply( X, Z ) ) ) ] )
% 0.43/1.11 , clause( 552, [ =( multiply( add( X, Y ), Z ), add( multiply( X, Z ),
% 0.43/1.11 multiply( Y, Z ) ) ) ] )
% 0.43/1.11 , clause( 553, [ =( multiply( multiply( X, Y ), Y ), multiply( X, multiply(
% 0.43/1.12 Y, Y ) ) ) ] )
% 0.43/1.12 , clause( 554, [ =( multiply( multiply( X, X ), Y ), multiply( X, multiply(
% 0.43/1.12 X, Y ) ) ) ] )
% 0.43/1.12 , clause( 555, [ =( multiply( 'additive_inverse'( X ), Y ),
% 0.43/1.12 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 0.43/1.12 , clause( 556, [ =( multiply( X, 'additive_inverse'( Y ) ),
% 0.43/1.12 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 0.43/1.12 , clause( 557, [ =( 'additive_inverse'( 'additive_identity' ),
% 0.43/1.12 'additive_identity' ) ] )
% 0.43/1.12 , clause( 558, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.43/1.12 , clause( 559, [ =( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ] )
% 0.43/1.12 , clause( 560, [ ~( =( add( X, Y ), add( Z, Y ) ) ), =( X, Z ) ] )
% 0.43/1.12 , clause( 561, [ ~( =( add( X, Y ), add( X, Z ) ) ), =( Y, Z ) ] )
% 0.43/1.12 , clause( 562, [ =( associator( X, Y, Z ), add( multiply( multiply( X, Y )
% 0.43/1.12 , Z ), 'additive_inverse'( multiply( X, multiply( Y, Z ) ) ) ) ) ] )
% 0.43/1.12 , clause( 563, [ ~( =( multiply( multiply( X, Y ), X ), multiply( X,
% 0.43/1.12 multiply( Y, X ) ) ) ) ] )
% 0.43/1.12 , clause( 564, [ ~( =( associator( X, Y, Z ), 'additive_inverse'(
% 0.43/1.12 associator( Y, X, Z ) ) ) ) ] )
% 0.43/1.12 , clause( 565, [ ~( =( associator( X, Y, Z ), 'additive_inverse'(
% 0.43/1.12 associator( Z, Y, X ) ) ) ) ] )
% 0.43/1.12 , clause( 566, [ =( multiply( X, multiply( Y, multiply( Z, Y ) ) ),
% 0.43/1.12 multiply( multiply( multiply( X, Y ), Z ), Y ) ) ] )
% 0.43/1.12 , clause( 567, [ =( multiply( multiply( X, multiply( Y, X ) ), Z ),
% 0.43/1.12 multiply( X, multiply( Y, multiply( X, Z ) ) ) ) ] )
% 0.43/1.12 , clause( 568, [ ~( =( associator( multiply( cx, cx ), cy, cz ), add(
% 0.43/1.12 multiply( associator( cx, cy, cz ), cx ), multiply( cx, associator( cx,
% 0.43/1.12 cy, cz ) ) ) ) ) ] )
% 0.43/1.12 ] ).
% 0.43/1.12
% 0.43/1.12
% 0.43/1.12
% 0.43/1.12 eqswap(
% 0.43/1.12 clause( 578, [ =( multiply( X, multiply( X, Y ) ), multiply( multiply( X, X
% 0.43/1.12 ), Y ) ) ] )
% 0.43/1.12 , clause( 554, [ =( multiply( multiply( X, X ), Y ), multiply( X, multiply(
% 0.43/1.12 X, Y ) ) ) ] )
% 0.43/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.12
% 0.43/1.12
% 0.43/1.12 subsumption(
% 0.43/1.12 clause( 9, [ =( multiply( X, multiply( X, Y ) ), multiply( multiply( X, X )
% 0.43/1.12 , Y ) ) ] )
% 0.43/1.12 , clause( 578, [ =( multiply( X, multiply( X, Y ) ), multiply( multiply( X
% 0.43/1.12 , X ), Y ) ) ] )
% 0.43/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.12 )] ) ).
% 0.43/1.12
% 0.43/1.12
% 0.43/1.12 eqswap(
% 0.43/1.12 clause( 596, [ ~( =( multiply( X, multiply( Y, X ) ), multiply( multiply( X
% 0.43/1.12 , Y ), X ) ) ) ] )
% 0.43/1.12 , clause( 563, [ ~( =( multiply( multiply( X, Y ), X ), multiply( X,
% 0.43/1.12 multiply( Y, X ) ) ) ) ] )
% 0.43/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.12
% 0.43/1.12
% 0.43/1.12 subsumption(
% 0.43/1.12 clause( 18, [ ~( =( multiply( X, multiply( Y, X ) ), multiply( multiply( X
% 0.43/1.12 , Y ), X ) ) ) ] )
% 0.43/1.12 , clause( 596, [ ~( =( multiply( X, multiply( Y, X ) ), multiply( multiply(
% 0.43/1.12 X, Y ), X ) ) ) ] )
% 0.43/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.12 )] ) ).
% 0.43/1.12
% 0.43/1.12
% 0.43/1.12 eqswap(
% 0.43/1.12 clause( 597, [ ~( =( multiply( multiply( X, Y ), X ), multiply( X, multiply(
% 0.43/1.12 Y, X ) ) ) ) ] )
% 0.43/1.12 , clause( 18, [ ~( =( multiply( X, multiply( Y, X ) ), multiply( multiply(
% 0.43/1.12 X, Y ), X ) ) ) ] )
% 0.43/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.12
% 0.43/1.12
% 0.43/1.12 eqswap(
% 0.43/1.12 clause( 598, [ =( multiply( multiply( X, X ), Y ), multiply( X, multiply( X
% 0.43/1.12 , Y ) ) ) ] )
% 0.43/1.12 , clause( 9, [ =( multiply( X, multiply( X, Y ) ), multiply( multiply( X, X
% 0.43/1.12 ), Y ) ) ] )
% 0.43/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.12
% 0.43/1.12
% 0.43/1.12 resolution(
% 0.43/1.12 clause( 599, [] )
% 0.43/1.12 , clause( 597, [ ~( =( multiply( multiply( X, Y ), X ), multiply( X,
% 0.43/1.12 multiply( Y, X ) ) ) ) ] )
% 0.43/1.12 , 0, clause( 598, [ =( multiply( multiply( X, X ), Y ), multiply( X,
% 0.43/1.12 multiply( X, Y ) ) ) ] )
% 0.43/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [ :=( X
% 0.43/1.12 , X ), :=( Y, X )] )).
% 0.43/1.12
% 0.43/1.12
% 0.43/1.12 subsumption(
% 0.43/1.12 clause( 543, [] )
% 0.43/1.12 , clause( 599, [] )
% 0.43/1.12 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.43/1.12
% 0.43/1.12
% 0.43/1.12 end.
% 0.43/1.12
% 0.43/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.12
% 0.43/1.12 Memory use:
% 0.43/1.12
% 0.43/1.12 space for terms: 8271
% 0.43/1.12 space for clauses: 32775
% 0.43/1.12
% 0.43/1.12
% 0.43/1.12 clauses generated: 3936
% 0.43/1.12 clauses kept: 544
% 0.43/1.12 clauses selected: 51
% 0.43/1.12 clauses deleted: 0
% 0.43/1.12 clauses inuse deleted: 0
% 0.43/1.12
% 0.43/1.12 subsentry: 14356
% 0.43/1.12 literals s-matched: 8348
% 0.43/1.12 literals matched: 8019
% 0.43/1.12 full subsumption: 5725
% 0.43/1.12
% 0.43/1.12 checksum: -1214920594
% 0.43/1.12
% 0.43/1.12
% 0.43/1.12 Bliksem ended
%------------------------------------------------------------------------------