%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : BOO006-4 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n028.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 : Thu Jul 14 23:30:35 EDT 2022
% Result : Unsatisfiable 0.44s 1.06s
% Output : Refutation 0.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : BOO006-4 : TPTP v8.1.0. Released v1.1.0.
% 0.04/0.13 % Command : bliksem %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Wed Jun 1 19:03:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.44/1.06 *** allocated 10000 integers for termspace/termends
% 0.44/1.06 *** allocated 10000 integers for clauses
% 0.44/1.06 *** allocated 10000 integers for justifications
% 0.44/1.06 Bliksem 1.12
% 0.44/1.06
% 0.44/1.06
% 0.44/1.06 Automatic Strategy Selection
% 0.44/1.06
% 0.44/1.06 Clauses:
% 0.44/1.06 [
% 0.44/1.06 [ =( add( X, Y ), add( Y, X ) ) ],
% 0.44/1.06 [ =( multiply( X, Y ), multiply( Y, X ) ) ],
% 0.44/1.06 [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add( X, Z ) ) )
% 0.44/1.06 ],
% 0.44/1.06 [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ), multiply( X, Z )
% 0.44/1.06 ) ) ],
% 0.44/1.06 [ =( add( X, 'additive_identity' ), X ) ],
% 0.44/1.06 [ =( multiply( X, 'multiplicative_identity' ), X ) ],
% 0.44/1.06 [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ],
% 0.44/1.06 [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ],
% 0.44/1.06 [ ~( =( multiply( a, 'additive_identity' ), 'additive_identity' ) ) ]
% 0.44/1.06 ] .
% 0.44/1.06
% 0.44/1.06
% 0.44/1.06 percentage equality = 1.000000, percentage horn = 1.000000
% 0.44/1.06 This is a pure equality problem
% 0.44/1.06
% 0.44/1.06
% 0.44/1.06
% 0.44/1.06 Options Used:
% 0.44/1.06
% 0.44/1.06 useres = 1
% 0.44/1.06 useparamod = 1
% 0.44/1.06 useeqrefl = 1
% 0.44/1.06 useeqfact = 1
% 0.44/1.06 usefactor = 1
% 0.44/1.06 usesimpsplitting = 0
% 0.44/1.06 usesimpdemod = 5
% 0.44/1.06 usesimpres = 3
% 0.44/1.06
% 0.44/1.06 resimpinuse = 1000
% 0.44/1.06 resimpclauses = 20000
% 0.44/1.06 substype = eqrewr
% 0.44/1.06 backwardsubs = 1
% 0.44/1.06 selectoldest = 5
% 0.44/1.06
% 0.44/1.06 litorderings [0] = split
% 0.44/1.06 litorderings [1] = extend the termordering, first sorting on arguments
% 0.44/1.06
% 0.44/1.06 termordering = kbo
% 0.44/1.06
% 0.44/1.06 litapriori = 0
% 0.44/1.06 termapriori = 1
% 0.44/1.06 litaposteriori = 0
% 0.44/1.06 termaposteriori = 0
% 0.44/1.06 demodaposteriori = 0
% 0.44/1.06 ordereqreflfact = 0
% 0.44/1.06
% 0.44/1.06 litselect = negord
% 0.44/1.06
% 0.44/1.06 maxweight = 15
% 0.44/1.06 maxdepth = 30000
% 0.44/1.06 maxlength = 115
% 0.44/1.06 maxnrvars = 195
% 0.44/1.06 excuselevel = 1
% 0.44/1.06 increasemaxweight = 1
% 0.44/1.06
% 0.44/1.06 maxselected = 10000000
% 0.44/1.06 maxnrclauses = 10000000
% 0.44/1.06
% 0.44/1.06 showgenerated = 0
% 0.44/1.06 showkept = 0
% 0.44/1.06 showselected = 0
% 0.44/1.06 showdeleted = 0
% 0.44/1.06 showresimp = 1
% 0.44/1.06 showstatus = 2000
% 0.44/1.06
% 0.44/1.06 prologoutput = 1
% 0.44/1.06 nrgoals = 5000000
% 0.44/1.06 totalproof = 1
% 0.44/1.06
% 0.44/1.06 Symbols occurring in the translation:
% 0.44/1.06
% 0.44/1.06 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.44/1.06 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.44/1.06 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.44/1.06 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.06 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.06 add [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.44/1.06 multiply [42, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.44/1.06 'additive_identity' [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.44/1.06 'multiplicative_identity' [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.44/1.06 inverse [46, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.44/1.06 a [47, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.44/1.06
% 0.44/1.06
% 0.44/1.06 Starting Search:
% 0.44/1.06
% 0.44/1.06
% 0.44/1.06 Bliksems!, er is een bewijs:
% 0.44/1.06 % SZS status Unsatisfiable
% 0.44/1.06 % SZS output start Refutation
% 0.44/1.06
% 0.44/1.06 clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.44/1.06 .
% 0.44/1.06 clause( 3, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X, add(
% 0.44/1.06 Y, Z ) ) ) ] )
% 0.44/1.06 .
% 0.44/1.06 clause( 4, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.44/1.06 .
% 0.44/1.06 clause( 7, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.44/1.06 .
% 0.44/1.06 clause( 8, [ ~( =( multiply( a, 'additive_identity' ), 'additive_identity'
% 0.44/1.06 ) ) ] )
% 0.44/1.06 .
% 0.44/1.06 clause( 10, [ =( add( 'additive_identity', X ), X ) ] )
% 0.44/1.06 .
% 0.44/1.06 clause( 34, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y ) )
% 0.44/1.06 ] )
% 0.44/1.06 .
% 0.44/1.06 clause( 44, [ =( multiply( X, 'additive_identity' ), 'additive_identity' )
% 0.44/1.06 ] )
% 0.44/1.06 .
% 0.44/1.06 clause( 47, [] )
% 0.44/1.06 .
% 0.44/1.06
% 0.44/1.06
% 0.44/1.06 % SZS output end Refutation
% 0.44/1.06 found a proof!
% 0.44/1.06
% 0.44/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.44/1.06
% 0.44/1.06 initialclauses(
% 0.44/1.06 [ clause( 49, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.44/1.06 , clause( 50, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.44/1.06 , clause( 51, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add(
% 0.44/1.06 X, Z ) ) ) ] )
% 0.44/1.06 , clause( 52, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.44/1.06 multiply( X, Z ) ) ) ] )
% 0.44/1.06 , clause( 53, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.44/1.06 , clause( 54, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.44/1.06 , clause( 55, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.44/1.06 , clause( 56, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.44/1.06 , clause( 57, [ ~( =( multiply( a, 'additive_identity' ),
% 0.44/1.06 'additive_identity' ) ) ] )
% 0.44/1.06 ] ).
% 0.44/1.06
% 0.44/1.06
% 0.44/1.06
% 0.44/1.06 subsumption(
% 0.44/1.06 clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.44/1.06 , clause( 49, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.44/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.44/1.06 )] ) ).
% 0.44/1.06
% 0.44/1.06
% 0.44/1.06 eqswap(
% 0.44/1.06 clause( 59, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.44/1.06 add( Y, Z ) ) ) ] )
% 0.44/1.06 , clause( 52, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.44/1.06 multiply( X, Z ) ) ) ] )
% 0.44/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.44/1.06
% 0.44/1.06
% 0.44/1.06 subsumption(
% 0.44/1.06 clause( 3, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X, add(
% 0.44/1.06 Y, Z ) ) ) ] )
% 0.44/1.06 , clause( 59, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.44/1.06 add( Y, Z ) ) ) ] )
% 0.44/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.44/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.06
% 0.44/1.06
% 0.44/1.06 subsumption(
% 0.44/1.06 clause( 4, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.44/1.06 , clause( 53, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.44/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.06
% 0.44/1.06
% 0.44/1.06 subsumption(
% 0.44/1.06 clause( 7, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.44/1.06 , clause( 56, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.44/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.06
% 0.44/1.06
% 0.44/1.06 subsumption(
% 0.44/1.06 clause( 8, [ ~( =( multiply( a, 'additive_identity' ), 'additive_identity'
% 0.44/1.06 ) ) ] )
% 0.44/1.06 , clause( 57, [ ~( =( multiply( a, 'additive_identity' ),
% 0.44/1.06 'additive_identity' ) ) ] )
% 0.44/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.06
% 0.44/1.06
% 0.44/1.06 eqswap(
% 0.44/1.06 clause( 76, [ =( X, add( X, 'additive_identity' ) ) ] )
% 0.44/1.06 , clause( 4, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.44/1.06 , 0, substitution( 0, [ :=( X, X )] )).
% 0.44/1.06
% 0.44/1.06
% 0.44/1.06 paramod(
% 0.44/1.06 clause( 77, [ =( X, add( 'additive_identity', X ) ) ] )
% 0.44/1.06 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.44/1.06 , 0, clause( 76, [ =( X, add( X, 'additive_identity' ) ) ] )
% 0.44/1.06 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'additive_identity' )] ),
% 0.44/1.06 substitution( 1, [ :=( X, X )] )).
% 0.44/1.06
% 0.44/1.06
% 0.44/1.06 eqswap(
% 0.44/1.06 clause( 80, [ =( add( 'additive_identity', X ), X ) ] )
% 0.44/1.06 , clause( 77, [ =( X, add( 'additive_identity', X ) ) ] )
% 0.44/1.06 , 0, substitution( 0, [ :=( X, X )] )).
% 0.44/1.06
% 0.44/1.06
% 0.44/1.06 subsumption(
% 0.44/1.06 clause( 10, [ =( add( 'additive_identity', X ), X ) ] )
% 0.44/1.06 , clause( 80, [ =( add( 'additive_identity', X ), X ) ] )
% 0.44/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.06
% 0.44/1.06
% 0.44/1.06 eqswap(
% 0.44/1.06 clause( 82, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.44/1.06 multiply( X, Z ) ) ) ] )
% 0.44/1.06 , clause( 3, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.44/1.06 add( Y, Z ) ) ) ] )
% 0.44/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.44/1.06
% 0.44/1.06
% 0.44/1.06 paramod(
% 0.44/1.06 clause( 84, [ =( multiply( X, add( inverse( X ), Y ) ), add(
% 0.44/1.06 'additive_identity', multiply( X, Y ) ) ) ] )
% 0.44/1.06 , clause( 7, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.44/1.06 , 0, clause( 82, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.44/1.06 multiply( X, Z ) ) ) ] )
% 0.44/1.06 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.44/1.06 :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 0.44/1.06
% 0.44/1.06
% 0.44/1.06 paramod(
% 0.44/1.06 clause( 86, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y ) )
% 0.44/1.06 ] )
% 0.44/1.06 , clause( 10, [ =( add( 'additive_identity', X ), X ) ] )
% 0.44/1.06 , 0, clause( 84, [ =( multiply( X, add( inverse( X ), Y ) ), add(
% 0.44/1.06 'additive_identity', multiply( X, Y ) ) ) ] )
% 0.44/1.06 , 0, 7, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 0.44/1.06 :=( X, X ), :=( Y, Y )] )).
% 0.44/1.06
% 0.44/1.06
% 0.44/1.06 subsumption(
% 0.44/1.06 clause( 34, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y ) )
% 0.44/1.06 ] )
% 0.44/1.06 , clause( 86, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y )
% 0.44/1.06 ) ] )
% 0.44/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.44/1.06 )] ) ).
% 0.44/1.06
% 0.44/1.06
% 0.44/1.06 eqswap(
% 0.44/1.06 clause( 89, [ =( multiply( X, Y ), multiply( X, add( inverse( X ), Y ) ) )
% 0.44/1.06 ] )
% 0.44/1.06 , clause( 34, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y )
% 0.44/1.06 ) ] )
% 0.44/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.44/1.06
% 0.44/1.06
% 0.44/1.06 paramod(
% 0.44/1.06 clause( 91, [ =( multiply( X, 'additive_identity' ), multiply( X, inverse(
% 0.44/1.06 X ) ) ) ] )
% 0.44/1.06 , clause( 4, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.44/1.06 , 0, clause( 89, [ =( multiply( X, Y ), multiply( X, add( inverse( X ), Y )
% 0.44/1.06 ) ) ] )
% 0.44/1.06 , 0, 6, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.44/1.06 :=( X, X ), :=( Y, 'additive_identity' )] )).
% 0.44/1.06
% 0.44/1.06
% 0.44/1.06 paramod(
% 0.44/1.06 clause( 92, [ =( multiply( X, 'additive_identity' ), 'additive_identity' )
% 0.44/1.06 ] )
% 0.44/1.06 , clause( 7, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.44/1.06 , 0, clause( 91, [ =( multiply( X, 'additive_identity' ), multiply( X,
% 0.44/1.06 inverse( X ) ) ) ] )
% 0.44/1.06 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.44/1.06 ).
% 0.44/1.06
% 0.44/1.06
% 0.44/1.06 subsumption(
% 0.44/1.06 clause( 44, [ =( multiply( X, 'additive_identity' ), 'additive_identity' )
% 0.44/1.06 ] )
% 0.44/1.06 , clause( 92, [ =( multiply( X, 'additive_identity' ), 'additive_identity'
% 0.44/1.06 ) ] )
% 0.44/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.06
% 0.44/1.06
% 0.44/1.06 eqswap(
% 0.44/1.06 clause( 94, [ =( 'additive_identity', multiply( X, 'additive_identity' ) )
% 0.44/1.06 ] )
% 0.44/1.06 , clause( 44, [ =( multiply( X, 'additive_identity' ), 'additive_identity'
% 0.44/1.06 ) ] )
% 0.44/1.06 , 0, substitution( 0, [ :=( X, X )] )).
% 0.44/1.06
% 0.44/1.06
% 0.44/1.06 eqswap(
% 0.44/1.06 clause( 95, [ ~( =( 'additive_identity', multiply( a, 'additive_identity' )
% 0.44/1.06 ) ) ] )
% 0.44/1.06 , clause( 8, [ ~( =( multiply( a, 'additive_identity' ),
% 0.44/1.06 'additive_identity' ) ) ] )
% 0.44/1.06 , 0, substitution( 0, [] )).
% 0.44/1.06
% 0.44/1.06
% 0.44/1.06 resolution(
% 0.44/1.06 clause( 96, [] )
% 0.44/1.06 , clause( 95, [ ~( =( 'additive_identity', multiply( a, 'additive_identity'
% 0.44/1.06 ) ) ) ] )
% 0.44/1.06 , 0, clause( 94, [ =( 'additive_identity', multiply( X, 'additive_identity'
% 0.44/1.06 ) ) ] )
% 0.44/1.06 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a )] )).
% 0.44/1.06
% 0.44/1.06
% 0.44/1.06 subsumption(
% 0.44/1.06 clause( 47, [] )
% 0.44/1.06 , clause( 96, [] )
% 0.44/1.06 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.44/1.06
% 0.44/1.06
% 0.44/1.06 end.
% 0.44/1.06
% 0.44/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.44/1.06
% 0.44/1.06 Memory use:
% 0.44/1.06
% 0.44/1.06 space for terms: 655
% 0.44/1.06 space for clauses: 5204
% 0.44/1.06
% 0.44/1.06
% 0.44/1.06 clauses generated: 173
% 0.44/1.06 clauses kept: 48
% 0.44/1.06 clauses selected: 19
% 0.44/1.06 clauses deleted: 0
% 0.44/1.06 clauses inuse deleted: 0
% 0.44/1.06
% 0.44/1.06 subsentry: 183
% 0.44/1.06 literals s-matched: 96
% 0.44/1.06 literals matched: 96
% 0.44/1.06 full subsumption: 0
% 0.44/1.06
% 0.44/1.06 checksum: 29823548
% 0.44/1.06
% 0.44/1.06
% 0.44/1.06 Bliksem ended
%------------------------------------------------------------------------------