%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : BOO003-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 23:30:33 EDT 2022
% Result : Unsatisfiable 0.71s 1.10s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : BOO003-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n018.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 : Wed Jun 1 21:34:44 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.71/1.10 *** allocated 10000 integers for termspace/termends
% 0.71/1.10 *** allocated 10000 integers for clauses
% 0.71/1.10 *** allocated 10000 integers for justifications
% 0.71/1.10 Bliksem 1.12
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 Automatic Strategy Selection
% 0.71/1.10
% 0.71/1.10 Clauses:
% 0.71/1.10 [
% 0.71/1.10 [ =( add( X, Y ), add( Y, X ) ) ],
% 0.71/1.10 [ =( multiply( X, Y ), multiply( Y, X ) ) ],
% 0.71/1.10 [ =( add( multiply( X, Y ), Z ), multiply( add( X, Z ), add( Y, Z ) ) )
% 0.71/1.10 ],
% 0.71/1.10 [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add( X, Z ) ) )
% 0.71/1.10 ],
% 0.71/1.10 [ =( multiply( add( X, Y ), Z ), add( multiply( X, Z ), multiply( Y, Z )
% 0.71/1.10 ) ) ],
% 0.71/1.10 [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ), multiply( X, Z )
% 0.71/1.10 ) ) ],
% 0.71/1.10 [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ],
% 0.71/1.10 [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ],
% 0.71/1.10 [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ],
% 0.71/1.10 [ =( multiply( inverse( X ), X ), 'additive_identity' ) ],
% 0.71/1.10 [ =( multiply( X, 'multiplicative_identity' ), X ) ],
% 0.71/1.10 [ =( multiply( 'multiplicative_identity', X ), X ) ],
% 0.71/1.10 [ =( add( X, 'additive_identity' ), X ) ],
% 0.71/1.10 [ =( add( 'additive_identity', X ), X ) ],
% 0.71/1.10 [ ~( =( multiply( a, a ), a ) ) ]
% 0.71/1.10 ] .
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 percentage equality = 1.000000, percentage horn = 1.000000
% 0.71/1.10 This is a pure equality problem
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 Options Used:
% 0.71/1.10
% 0.71/1.10 useres = 1
% 0.71/1.10 useparamod = 1
% 0.71/1.10 useeqrefl = 1
% 0.71/1.10 useeqfact = 1
% 0.71/1.10 usefactor = 1
% 0.71/1.10 usesimpsplitting = 0
% 0.71/1.10 usesimpdemod = 5
% 0.71/1.10 usesimpres = 3
% 0.71/1.10
% 0.71/1.10 resimpinuse = 1000
% 0.71/1.10 resimpclauses = 20000
% 0.71/1.10 substype = eqrewr
% 0.71/1.10 backwardsubs = 1
% 0.71/1.10 selectoldest = 5
% 0.71/1.10
% 0.71/1.10 litorderings [0] = split
% 0.71/1.10 litorderings [1] = extend the termordering, first sorting on arguments
% 0.71/1.10
% 0.71/1.10 termordering = kbo
% 0.71/1.10
% 0.71/1.10 litapriori = 0
% 0.71/1.10 termapriori = 1
% 0.71/1.10 litaposteriori = 0
% 0.71/1.10 termaposteriori = 0
% 0.71/1.10 demodaposteriori = 0
% 0.71/1.10 ordereqreflfact = 0
% 0.71/1.10
% 0.71/1.10 litselect = negord
% 0.71/1.10
% 0.71/1.10 maxweight = 15
% 0.71/1.10 maxdepth = 30000
% 0.71/1.10 maxlength = 115
% 0.71/1.10 maxnrvars = 195
% 0.71/1.10 excuselevel = 1
% 0.71/1.10 increasemaxweight = 1
% 0.71/1.10
% 0.71/1.10 maxselected = 10000000
% 0.71/1.10 maxnrclauses = 10000000
% 0.71/1.10
% 0.71/1.10 showgenerated = 0
% 0.71/1.10 showkept = 0
% 0.71/1.10 showselected = 0
% 0.71/1.10 showdeleted = 0
% 0.71/1.10 showresimp = 1
% 0.71/1.10 showstatus = 2000
% 0.71/1.10
% 0.71/1.10 prologoutput = 1
% 0.71/1.10 nrgoals = 5000000
% 0.71/1.10 totalproof = 1
% 0.71/1.10
% 0.71/1.10 Symbols occurring in the translation:
% 0.71/1.10
% 0.71/1.10 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.10 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.71/1.10 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.71/1.10 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.10 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.10 add [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.71/1.10 multiply [42, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.71/1.10 inverse [44, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.71/1.10 'multiplicative_identity' [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.71/1.10 'additive_identity' [46, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.71/1.10 a [47, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 Starting Search:
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 Bliksems!, er is een bewijs:
% 0.71/1.10 % SZS status Unsatisfiable
% 0.71/1.10 % SZS output start Refutation
% 0.71/1.10
% 0.71/1.10 clause( 5, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X, add(
% 0.71/1.10 Y, Z ) ) ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 7, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 8, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 10, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 13, [ =( add( 'additive_identity', X ), X ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 14, [ ~( =( multiply( a, a ), a ) ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 19, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y ) )
% 0.71/1.10 ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 31, [ =( multiply( X, X ), X ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 47, [] )
% 0.71/1.10 .
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 % SZS output end Refutation
% 0.71/1.10 found a proof!
% 0.71/1.10
% 0.71/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.10
% 0.71/1.10 initialclauses(
% 0.71/1.10 [ clause( 49, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.71/1.10 , clause( 50, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.71/1.10 , clause( 51, [ =( add( multiply( X, Y ), Z ), multiply( add( X, Z ), add(
% 0.71/1.10 Y, Z ) ) ) ] )
% 0.71/1.10 , clause( 52, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add(
% 0.71/1.10 X, Z ) ) ) ] )
% 0.71/1.10 , clause( 53, [ =( multiply( add( X, Y ), Z ), add( multiply( X, Z ),
% 0.71/1.10 multiply( Y, Z ) ) ) ] )
% 0.71/1.10 , clause( 54, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.71/1.10 multiply( X, Z ) ) ) ] )
% 0.71/1.10 , clause( 55, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.71/1.10 , clause( 56, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.71/1.10 , clause( 57, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.71/1.10 , clause( 58, [ =( multiply( inverse( X ), X ), 'additive_identity' ) ] )
% 0.71/1.10 , clause( 59, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.71/1.10 , clause( 60, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.71/1.10 , clause( 61, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.71/1.10 , clause( 62, [ =( add( 'additive_identity', X ), X ) ] )
% 0.71/1.10 , clause( 63, [ ~( =( multiply( a, a ), a ) ) ] )
% 0.71/1.10 ] ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 67, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.71/1.10 add( Y, Z ) ) ) ] )
% 0.71/1.10 , clause( 54, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.71/1.10 multiply( X, Z ) ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 5, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X, add(
% 0.71/1.10 Y, Z ) ) ) ] )
% 0.71/1.10 , clause( 67, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.71/1.10 add( Y, Z ) ) ) ] )
% 0.71/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.10 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 7, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.71/1.10 , clause( 56, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.71/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 8, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.71/1.10 , clause( 57, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.71/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 10, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.71/1.10 , clause( 59, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.71/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 13, [ =( add( 'additive_identity', X ), X ) ] )
% 0.71/1.10 , clause( 62, [ =( add( 'additive_identity', X ), X ) ] )
% 0.71/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 14, [ ~( =( multiply( a, a ), a ) ) ] )
% 0.71/1.10 , clause( 63, [ ~( =( multiply( a, a ), a ) ) ] )
% 0.71/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 116, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.71/1.10 multiply( X, Z ) ) ) ] )
% 0.71/1.10 , clause( 5, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.71/1.10 add( Y, Z ) ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 118, [ =( multiply( X, add( inverse( X ), Y ) ), add(
% 0.71/1.10 'additive_identity', multiply( X, Y ) ) ) ] )
% 0.71/1.10 , clause( 8, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.71/1.10 , 0, clause( 116, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.71/1.10 multiply( X, Z ) ) ) ] )
% 0.71/1.10 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.71/1.10 :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 120, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y ) )
% 0.71/1.10 ] )
% 0.71/1.10 , clause( 13, [ =( add( 'additive_identity', X ), X ) ] )
% 0.71/1.10 , 0, clause( 118, [ =( multiply( X, add( inverse( X ), Y ) ), add(
% 0.71/1.10 'additive_identity', multiply( X, Y ) ) ) ] )
% 0.71/1.10 , 0, 7, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 0.71/1.10 :=( X, X ), :=( Y, Y )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 19, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y ) )
% 0.71/1.10 ] )
% 0.71/1.10 , clause( 120, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y )
% 0.71/1.10 ) ] )
% 0.71/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.10 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 123, [ =( multiply( X, Y ), multiply( X, add( inverse( X ), Y ) ) )
% 0.71/1.10 ] )
% 0.71/1.10 , clause( 19, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y )
% 0.71/1.10 ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 125, [ =( multiply( X, X ), multiply( X, 'multiplicative_identity'
% 0.71/1.10 ) ) ] )
% 0.71/1.10 , clause( 7, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.71/1.10 , 0, clause( 123, [ =( multiply( X, Y ), multiply( X, add( inverse( X ), Y
% 0.71/1.10 ) ) ) ] )
% 0.71/1.10 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.71/1.10 :=( Y, X )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 paramod(
% 0.71/1.10 clause( 126, [ =( multiply( X, X ), X ) ] )
% 0.71/1.10 , clause( 10, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.71/1.10 , 0, clause( 125, [ =( multiply( X, X ), multiply( X,
% 0.71/1.10 'multiplicative_identity' ) ) ] )
% 0.71/1.10 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.71/1.10 ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 31, [ =( multiply( X, X ), X ) ] )
% 0.71/1.10 , clause( 126, [ =( multiply( X, X ), X ) ] )
% 0.71/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 128, [ =( X, multiply( X, X ) ) ] )
% 0.71/1.10 , clause( 31, [ =( multiply( X, X ), X ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 eqswap(
% 0.71/1.10 clause( 129, [ ~( =( a, multiply( a, a ) ) ) ] )
% 0.71/1.10 , clause( 14, [ ~( =( multiply( a, a ), a ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 resolution(
% 0.71/1.10 clause( 130, [] )
% 0.71/1.10 , clause( 129, [ ~( =( a, multiply( a, a ) ) ) ] )
% 0.71/1.10 , 0, clause( 128, [ =( X, multiply( X, X ) ) ] )
% 0.71/1.10 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a )] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 47, [] )
% 0.71/1.10 , clause( 130, [] )
% 0.71/1.10 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 end.
% 0.71/1.10
% 0.71/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.10
% 0.71/1.10 Memory use:
% 0.71/1.10
% 0.71/1.10 space for terms: 783
% 0.71/1.10 space for clauses: 5168
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 clauses generated: 165
% 0.71/1.10 clauses kept: 48
% 0.71/1.10 clauses selected: 17
% 0.71/1.10 clauses deleted: 0
% 0.71/1.10 clauses inuse deleted: 0
% 0.71/1.10
% 0.71/1.10 subsentry: 369
% 0.71/1.10 literals s-matched: 195
% 0.71/1.10 literals matched: 195
% 0.71/1.10 full subsumption: 0
% 0.71/1.10
% 0.71/1.10 checksum: 761326396
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 Bliksem ended
%------------------------------------------------------------------------------