%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : RNG024-6 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.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 20:16:07 EDT 2022
% Result : Unsatisfiable 0.49s 0.88s
% Output : Refutation 0.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : RNG024-6 : TPTP v8.1.0. Released v1.0.0.
% 0.02/0.10 % Command : bliksem %s
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % DateTime : Mon May 30 09:03:42 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.49/0.88 *** allocated 10000 integers for termspace/termends
% 0.49/0.88 *** allocated 10000 integers for clauses
% 0.49/0.88 *** allocated 10000 integers for justifications
% 0.49/0.88 Bliksem 1.12
% 0.49/0.88
% 0.49/0.88
% 0.49/0.88 Automatic Strategy Selection
% 0.49/0.88
% 0.49/0.88 Clauses:
% 0.49/0.88 [
% 0.49/0.88 [ =( add( 'additive_identity', X ), X ) ],
% 0.49/0.88 [ =( add( X, 'additive_identity' ), X ) ],
% 0.49/0.88 [ =( multiply( 'additive_identity', X ), 'additive_identity' ) ],
% 0.49/0.88 [ =( multiply( X, 'additive_identity' ), 'additive_identity' ) ],
% 0.49/0.88 [ =( add( 'additive_inverse'( X ), X ), 'additive_identity' ) ],
% 0.49/0.88 [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity' ) ],
% 0.49/0.88 [ =( 'additive_inverse'( 'additive_inverse'( X ) ), X ) ],
% 0.49/0.88 [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ), multiply( X, Z )
% 0.49/0.88 ) ) ],
% 0.49/0.88 [ =( multiply( add( X, Y ), Z ), add( multiply( X, Z ), multiply( Y, Z )
% 0.49/0.88 ) ) ],
% 0.49/0.88 [ =( add( X, Y ), add( Y, X ) ) ],
% 0.49/0.88 [ =( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ],
% 0.49/0.88 [ =( multiply( multiply( X, Y ), Y ), multiply( X, multiply( Y, Y ) ) )
% 0.49/0.88 ],
% 0.49/0.88 [ =( multiply( multiply( X, X ), Y ), multiply( X, multiply( X, Y ) ) )
% 0.49/0.88 ],
% 0.49/0.88 [ =( associator( X, Y, Z ), add( multiply( multiply( X, Y ), Z ),
% 0.49/0.88 'additive_inverse'( multiply( X, multiply( Y, Z ) ) ) ) ) ],
% 0.49/0.88 [ =( commutator( X, Y ), add( multiply( Y, X ), 'additive_inverse'(
% 0.49/0.88 multiply( X, Y ) ) ) ) ],
% 0.49/0.88 [ ~( =( associator( x, y, y ), 'additive_identity' ) ) ]
% 0.49/0.88 ] .
% 0.49/0.88
% 0.49/0.88
% 0.49/0.88 percentage equality = 1.000000, percentage horn = 1.000000
% 0.49/0.88 This is a pure equality problem
% 0.49/0.88
% 0.49/0.88
% 0.49/0.88
% 0.49/0.88 Options Used:
% 0.49/0.88
% 0.49/0.88 useres = 1
% 0.49/0.88 useparamod = 1
% 0.49/0.88 useeqrefl = 1
% 0.49/0.88 useeqfact = 1
% 0.49/0.88 usefactor = 1
% 0.49/0.88 usesimpsplitting = 0
% 0.49/0.88 usesimpdemod = 5
% 0.49/0.88 usesimpres = 3
% 0.49/0.88
% 0.49/0.88 resimpinuse = 1000
% 0.49/0.88 resimpclauses = 20000
% 0.49/0.88 substype = eqrewr
% 0.49/0.88 backwardsubs = 1
% 0.49/0.88 selectoldest = 5
% 0.49/0.88
% 0.49/0.88 litorderings [0] = split
% 0.49/0.88 litorderings [1] = extend the termordering, first sorting on arguments
% 0.49/0.88
% 0.49/0.88 termordering = kbo
% 0.49/0.88
% 0.49/0.88 litapriori = 0
% 0.49/0.88 termapriori = 1
% 0.49/0.88 litaposteriori = 0
% 0.49/0.88 termaposteriori = 0
% 0.49/0.88 demodaposteriori = 0
% 0.49/0.88 ordereqreflfact = 0
% 0.49/0.88
% 0.49/0.88 litselect = negord
% 0.49/0.88
% 0.49/0.88 maxweight = 15
% 0.49/0.88 maxdepth = 30000
% 0.49/0.88 maxlength = 115
% 0.49/0.88 maxnrvars = 195
% 0.49/0.88 excuselevel = 1
% 0.49/0.88 increasemaxweight = 1
% 0.49/0.88
% 0.49/0.88 maxselected = 10000000
% 0.49/0.88 maxnrclauses = 10000000
% 0.49/0.88
% 0.49/0.88 showgenerated = 0
% 0.49/0.88 showkept = 0
% 0.49/0.88 showselected = 0
% 0.49/0.88 showdeleted = 0
% 0.49/0.88 showresimp = 1
% 0.49/0.88 showstatus = 2000
% 0.49/0.88
% 0.49/0.88 prologoutput = 1
% 0.49/0.88 nrgoals = 5000000
% 0.49/0.88 totalproof = 1
% 0.49/0.88
% 0.49/0.88 Symbols occurring in the translation:
% 0.49/0.88
% 0.49/0.88 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.49/0.88 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.49/0.88 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.49/0.88 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.49/0.88 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.49/0.88 'additive_identity' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.49/0.88 add [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.49/0.88 multiply [42, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.49/0.88 'additive_inverse' [43, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.49/0.88 associator [46, 3] (w:1, o:49, a:1, s:1, b:0),
% 0.49/0.88 commutator [47, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.49/0.88 x [48, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.49/0.88 y [49, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.49/0.88
% 0.49/0.88
% 0.49/0.88 Starting Search:
% 0.49/0.88
% 0.49/0.88
% 0.49/0.88 Bliksems!, er is een bewijs:
% 0.49/0.88 % SZS status Unsatisfiable
% 0.49/0.88 % SZS output start Refutation
% 0.49/0.88
% 0.49/0.88 clause( 5, [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity' ) ]
% 0.49/0.88 )
% 0.49/0.88 .
% 0.49/0.88 clause( 11, [ =( multiply( X, multiply( Y, Y ) ), multiply( multiply( X, Y
% 0.49/0.88 ), Y ) ) ] )
% 0.49/0.88 .
% 0.49/0.88 clause( 13, [ =( add( multiply( multiply( X, Y ), Z ), 'additive_inverse'(
% 0.49/0.88 multiply( X, multiply( Y, Z ) ) ) ), associator( X, Y, Z ) ) ] )
% 0.49/0.88 .
% 0.49/0.88 clause( 15, [ ~( =( associator( x, y, y ), 'additive_identity' ) ) ] )
% 0.49/0.88 .
% 0.49/0.88 clause( 103, [ =( associator( X, Y, Y ), 'additive_identity' ) ] )
% 0.49/0.88 .
% 0.49/0.88 clause( 109, [] )
% 0.49/0.88 .
% 0.49/0.88
% 0.49/0.88
% 0.49/0.88 % SZS output end Refutation
% 0.49/0.88 found a proof!
% 0.49/0.88
% 0.49/0.88 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.49/0.88
% 0.49/0.88 initialclauses(
% 0.49/0.88 [ clause( 111, [ =( add( 'additive_identity', X ), X ) ] )
% 0.49/0.88 , clause( 112, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.49/0.88 , clause( 113, [ =( multiply( 'additive_identity', X ), 'additive_identity'
% 0.49/0.88 ) ] )
% 0.49/0.88 , clause( 114, [ =( multiply( X, 'additive_identity' ), 'additive_identity'
% 0.49/0.88 ) ] )
% 0.49/0.88 , clause( 115, [ =( add( 'additive_inverse'( X ), X ), 'additive_identity'
% 0.49/0.88 ) ] )
% 0.49/0.88 , clause( 116, [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity'
% 0.49/0.88 ) ] )
% 0.49/0.88 , clause( 117, [ =( 'additive_inverse'( 'additive_inverse'( X ) ), X ) ] )
% 0.49/0.88 , clause( 118, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.49/0.88 multiply( X, Z ) ) ) ] )
% 0.49/0.88 , clause( 119, [ =( multiply( add( X, Y ), Z ), add( multiply( X, Z ),
% 0.49/0.88 multiply( Y, Z ) ) ) ] )
% 0.49/0.88 , clause( 120, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.49/0.88 , clause( 121, [ =( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ] )
% 0.49/0.88 , clause( 122, [ =( multiply( multiply( X, Y ), Y ), multiply( X, multiply(
% 0.49/0.88 Y, Y ) ) ) ] )
% 0.49/0.88 , clause( 123, [ =( multiply( multiply( X, X ), Y ), multiply( X, multiply(
% 0.49/0.88 X, Y ) ) ) ] )
% 0.49/0.88 , clause( 124, [ =( associator( X, Y, Z ), add( multiply( multiply( X, Y )
% 0.49/0.88 , Z ), 'additive_inverse'( multiply( X, multiply( Y, Z ) ) ) ) ) ] )
% 0.49/0.88 , clause( 125, [ =( commutator( X, Y ), add( multiply( Y, X ),
% 0.49/0.88 'additive_inverse'( multiply( X, Y ) ) ) ) ] )
% 0.49/0.88 , clause( 126, [ ~( =( associator( x, y, y ), 'additive_identity' ) ) ] )
% 0.49/0.88 ] ).
% 0.49/0.88
% 0.49/0.88
% 0.49/0.88
% 0.49/0.88 subsumption(
% 0.49/0.88 clause( 5, [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity' ) ]
% 0.49/0.88 )
% 0.49/0.88 , clause( 116, [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity'
% 0.49/0.88 ) ] )
% 0.49/0.88 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.49/0.88
% 0.49/0.88
% 0.49/0.88 eqswap(
% 0.49/0.88 clause( 143, [ =( multiply( X, multiply( Y, Y ) ), multiply( multiply( X, Y
% 0.49/0.88 ), Y ) ) ] )
% 0.49/0.88 , clause( 122, [ =( multiply( multiply( X, Y ), Y ), multiply( X, multiply(
% 0.49/0.88 Y, Y ) ) ) ] )
% 0.49/0.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.49/0.88
% 0.49/0.88
% 0.49/0.88 subsumption(
% 0.49/0.88 clause( 11, [ =( multiply( X, multiply( Y, Y ) ), multiply( multiply( X, Y
% 0.49/0.88 ), Y ) ) ] )
% 0.49/0.88 , clause( 143, [ =( multiply( X, multiply( Y, Y ) ), multiply( multiply( X
% 0.49/0.88 , Y ), Y ) ) ] )
% 0.49/0.88 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.49/0.88 )] ) ).
% 0.49/0.88
% 0.49/0.88
% 0.49/0.88 eqswap(
% 0.49/0.88 clause( 156, [ =( add( multiply( multiply( X, Y ), Z ), 'additive_inverse'(
% 0.49/0.88 multiply( X, multiply( Y, Z ) ) ) ), associator( X, Y, Z ) ) ] )
% 0.49/0.88 , clause( 124, [ =( associator( X, Y, Z ), add( multiply( multiply( X, Y )
% 0.49/0.88 , Z ), 'additive_inverse'( multiply( X, multiply( Y, Z ) ) ) ) ) ] )
% 0.49/0.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.49/0.88
% 0.49/0.88
% 0.49/0.88 subsumption(
% 0.49/0.88 clause( 13, [ =( add( multiply( multiply( X, Y ), Z ), 'additive_inverse'(
% 0.49/0.88 multiply( X, multiply( Y, Z ) ) ) ), associator( X, Y, Z ) ) ] )
% 0.49/0.88 , clause( 156, [ =( add( multiply( multiply( X, Y ), Z ),
% 0.49/0.88 'additive_inverse'( multiply( X, multiply( Y, Z ) ) ) ), associator( X, Y
% 0.49/0.88 , Z ) ) ] )
% 0.49/0.88 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.49/0.88 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.49/0.88
% 0.49/0.88
% 0.49/0.88 subsumption(
% 0.49/0.88 clause( 15, [ ~( =( associator( x, y, y ), 'additive_identity' ) ) ] )
% 0.49/0.88 , clause( 126, [ ~( =( associator( x, y, y ), 'additive_identity' ) ) ] )
% 0.49/0.88 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.49/0.88
% 0.49/0.88
% 0.49/0.88 eqswap(
% 0.49/0.88 clause( 173, [ =( associator( X, Y, Z ), add( multiply( multiply( X, Y ), Z
% 0.49/0.88 ), 'additive_inverse'( multiply( X, multiply( Y, Z ) ) ) ) ) ] )
% 0.49/0.88 , clause( 13, [ =( add( multiply( multiply( X, Y ), Z ), 'additive_inverse'(
% 0.49/0.88 multiply( X, multiply( Y, Z ) ) ) ), associator( X, Y, Z ) ) ] )
% 0.49/0.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.49/0.88
% 0.49/0.88
% 0.49/0.88 paramod(
% 0.49/0.88 clause( 177, [ =( associator( X, Y, Y ), add( multiply( multiply( X, Y ), Y
% 0.49/0.88 ), 'additive_inverse'( multiply( multiply( X, Y ), Y ) ) ) ) ] )
% 0.49/0.88 , clause( 11, [ =( multiply( X, multiply( Y, Y ) ), multiply( multiply( X,
% 0.49/0.88 Y ), Y ) ) ] )
% 0.49/0.88 , 0, clause( 173, [ =( associator( X, Y, Z ), add( multiply( multiply( X, Y
% 0.49/0.88 ), Z ), 'additive_inverse'( multiply( X, multiply( Y, Z ) ) ) ) ) ] )
% 0.49/0.88 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.49/0.88 :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 0.49/0.88
% 0.49/0.88
% 0.49/0.88 paramod(
% 0.49/0.88 clause( 180, [ =( associator( X, Y, Y ), 'additive_identity' ) ] )
% 0.49/0.88 , clause( 5, [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity' )
% 0.49/0.88 ] )
% 0.49/0.88 , 0, clause( 177, [ =( associator( X, Y, Y ), add( multiply( multiply( X, Y
% 0.49/0.88 ), Y ), 'additive_inverse'( multiply( multiply( X, Y ), Y ) ) ) ) ] )
% 0.49/0.88 , 0, 5, substitution( 0, [ :=( X, multiply( multiply( X, Y ), Y ) )] ),
% 0.49/0.88 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.49/0.88
% 0.49/0.88
% 0.49/0.88 subsumption(
% 0.49/0.88 clause( 103, [ =( associator( X, Y, Y ), 'additive_identity' ) ] )
% 0.49/0.88 , clause( 180, [ =( associator( X, Y, Y ), 'additive_identity' ) ] )
% 0.49/0.88 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.49/0.88 )] ) ).
% 0.49/0.88
% 0.49/0.88
% 0.49/0.88 eqswap(
% 0.49/0.88 clause( 182, [ =( 'additive_identity', associator( X, Y, Y ) ) ] )
% 0.49/0.88 , clause( 103, [ =( associator( X, Y, Y ), 'additive_identity' ) ] )
% 0.49/0.88 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.49/0.88
% 0.49/0.88
% 0.49/0.88 eqswap(
% 0.49/0.88 clause( 183, [ ~( =( 'additive_identity', associator( x, y, y ) ) ) ] )
% 0.49/0.88 , clause( 15, [ ~( =( associator( x, y, y ), 'additive_identity' ) ) ] )
% 0.49/0.88 , 0, substitution( 0, [] )).
% 0.49/0.88
% 0.49/0.88
% 0.49/0.88 resolution(
% 0.49/0.88 clause( 184, [] )
% 0.49/0.88 , clause( 183, [ ~( =( 'additive_identity', associator( x, y, y ) ) ) ] )
% 0.49/0.88 , 0, clause( 182, [ =( 'additive_identity', associator( X, Y, Y ) ) ] )
% 0.49/0.88 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, x ), :=( Y, y )] )
% 0.49/0.88 ).
% 0.49/0.88
% 0.49/0.88
% 0.49/0.88 subsumption(
% 0.49/0.88 clause( 109, [] )
% 0.49/0.88 , clause( 184, [] )
% 0.49/0.88 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.49/0.88
% 0.49/0.88
% 0.49/0.88 end.
% 0.49/0.88
% 0.49/0.88 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.49/0.88
% 0.49/0.88 Memory use:
% 0.49/0.88
% 0.49/0.88 space for terms: 1724
% 0.49/0.88 space for clauses: 13067
% 0.49/0.88
% 0.49/0.88
% 0.49/0.88 clauses generated: 652
% 0.49/0.88 clauses kept: 110
% 0.49/0.88 clauses selected: 31
% 0.49/0.88 clauses deleted: 2
% 0.49/0.88 clauses inuse deleted: 0
% 0.49/0.88
% 0.49/0.88 subsentry: 366
% 0.49/0.88 literals s-matched: 206
% 0.49/0.88 literals matched: 206
% 0.49/0.88 full subsumption: 0
% 0.49/0.88
% 0.49/0.88 checksum: 2074223789
% 0.49/0.88
% 0.49/0.88
% 0.49/0.88 Bliksem ended
%------------------------------------------------------------------------------