TSTP Solution File: BOO005-4 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : BOO005-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.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 23:30:34 EDT 2022
% Result : Unsatisfiable 0.43s 1.07s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : BOO005-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.12/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n021.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 21:47:01 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.43/1.07 *** allocated 10000 integers for termspace/termends
% 0.43/1.07 *** allocated 10000 integers for clauses
% 0.43/1.07 *** allocated 10000 integers for justifications
% 0.43/1.07 Bliksem 1.12
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Automatic Strategy Selection
% 0.43/1.07
% 0.43/1.07 Clauses:
% 0.43/1.07 [
% 0.43/1.07 [ =( add( X, Y ), add( Y, X ) ) ],
% 0.43/1.07 [ =( multiply( X, Y ), multiply( Y, X ) ) ],
% 0.43/1.07 [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add( X, Z ) ) )
% 0.43/1.07 ],
% 0.43/1.07 [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ), multiply( X, Z )
% 0.43/1.07 ) ) ],
% 0.43/1.07 [ =( add( X, 'additive_identity' ), X ) ],
% 0.43/1.07 [ =( multiply( X, 'multiplicative_identity' ), X ) ],
% 0.43/1.07 [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ],
% 0.43/1.07 [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ],
% 0.43/1.07 [ ~( =( add( a, 'multiplicative_identity' ), 'multiplicative_identity' )
% 0.43/1.07 ) ]
% 0.43/1.07 ] .
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 percentage equality = 1.000000, percentage horn = 1.000000
% 0.43/1.07 This is a pure equality problem
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Options Used:
% 0.43/1.07
% 0.43/1.07 useres = 1
% 0.43/1.07 useparamod = 1
% 0.43/1.07 useeqrefl = 1
% 0.43/1.07 useeqfact = 1
% 0.43/1.07 usefactor = 1
% 0.43/1.07 usesimpsplitting = 0
% 0.43/1.07 usesimpdemod = 5
% 0.43/1.07 usesimpres = 3
% 0.43/1.07
% 0.43/1.07 resimpinuse = 1000
% 0.43/1.07 resimpclauses = 20000
% 0.43/1.07 substype = eqrewr
% 0.43/1.07 backwardsubs = 1
% 0.43/1.07 selectoldest = 5
% 0.43/1.07
% 0.43/1.07 litorderings [0] = split
% 0.43/1.07 litorderings [1] = extend the termordering, first sorting on arguments
% 0.43/1.07
% 0.43/1.07 termordering = kbo
% 0.43/1.07
% 0.43/1.07 litapriori = 0
% 0.43/1.07 termapriori = 1
% 0.43/1.07 litaposteriori = 0
% 0.43/1.07 termaposteriori = 0
% 0.43/1.07 demodaposteriori = 0
% 0.43/1.07 ordereqreflfact = 0
% 0.43/1.07
% 0.43/1.07 litselect = negord
% 0.43/1.07
% 0.43/1.07 maxweight = 15
% 0.43/1.07 maxdepth = 30000
% 0.43/1.07 maxlength = 115
% 0.43/1.07 maxnrvars = 195
% 0.43/1.07 excuselevel = 1
% 0.43/1.07 increasemaxweight = 1
% 0.43/1.07
% 0.43/1.07 maxselected = 10000000
% 0.43/1.07 maxnrclauses = 10000000
% 0.43/1.07
% 0.43/1.07 showgenerated = 0
% 0.43/1.07 showkept = 0
% 0.43/1.07 showselected = 0
% 0.43/1.07 showdeleted = 0
% 0.43/1.07 showresimp = 1
% 0.43/1.07 showstatus = 2000
% 0.43/1.07
% 0.43/1.07 prologoutput = 1
% 0.43/1.07 nrgoals = 5000000
% 0.43/1.07 totalproof = 1
% 0.43/1.07
% 0.43/1.07 Symbols occurring in the translation:
% 0.43/1.07
% 0.43/1.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.43/1.07 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.43/1.07 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.43/1.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.07 add [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.43/1.07 multiply [42, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.43/1.07 'additive_identity' [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.43/1.07 'multiplicative_identity' [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.43/1.07 inverse [46, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.43/1.07 a [47, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Starting Search:
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Bliksems!, er is een bewijs:
% 0.43/1.07 % SZS status Unsatisfiable
% 0.43/1.07 % SZS output start Refutation
% 0.43/1.07
% 0.43/1.07 clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 2, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y,
% 0.43/1.07 Z ) ) ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 5, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 6, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 8, [ ~( =( add( a, 'multiplicative_identity' ),
% 0.43/1.07 'multiplicative_identity' ) ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 14, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 34, [ =( add( X, multiply( inverse( X ), Y ) ), add( X, Y ) ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 44, [ =( add( X, 'multiplicative_identity' ),
% 0.43/1.07 'multiplicative_identity' ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 47, [] )
% 0.43/1.07 .
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 % SZS output end Refutation
% 0.43/1.07 found a proof!
% 0.43/1.07
% 0.43/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.07
% 0.43/1.07 initialclauses(
% 0.43/1.07 [ clause( 49, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.43/1.07 , clause( 50, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.43/1.07 , clause( 51, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add(
% 0.43/1.07 X, Z ) ) ) ] )
% 0.43/1.07 , clause( 52, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.43/1.07 multiply( X, Z ) ) ) ] )
% 0.43/1.07 , clause( 53, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.43/1.07 , clause( 54, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.43/1.07 , clause( 55, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.43/1.07 , clause( 56, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.43/1.07 , clause( 57, [ ~( =( add( a, 'multiplicative_identity' ),
% 0.43/1.07 'multiplicative_identity' ) ) ] )
% 0.43/1.07 ] ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.43/1.07 , clause( 50, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 58, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y
% 0.43/1.07 , Z ) ) ) ] )
% 0.43/1.07 , clause( 51, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add(
% 0.43/1.07 X, Z ) ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 2, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y,
% 0.43/1.07 Z ) ) ) ] )
% 0.43/1.07 , clause( 58, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply(
% 0.43/1.07 Y, Z ) ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.43/1.07 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 5, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.43/1.07 , clause( 54, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 6, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.43/1.07 , clause( 55, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 8, [ ~( =( add( a, 'multiplicative_identity' ),
% 0.43/1.07 'multiplicative_identity' ) ) ] )
% 0.43/1.07 , clause( 57, [ ~( =( add( a, 'multiplicative_identity' ),
% 0.43/1.07 'multiplicative_identity' ) ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 75, [ =( X, multiply( X, 'multiplicative_identity' ) ) ] )
% 0.43/1.07 , clause( 5, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 76, [ =( X, multiply( 'multiplicative_identity', X ) ) ] )
% 0.43/1.07 , clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.43/1.07 , 0, clause( 75, [ =( X, multiply( X, 'multiplicative_identity' ) ) ] )
% 0.43/1.07 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'multiplicative_identity' )] )
% 0.43/1.07 , substitution( 1, [ :=( X, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 79, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.43/1.07 , clause( 76, [ =( X, multiply( 'multiplicative_identity', X ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 14, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.43/1.07 , clause( 79, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 81, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add( X
% 0.43/1.07 , Z ) ) ) ] )
% 0.43/1.07 , clause( 2, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y
% 0.43/1.07 , Z ) ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 83, [ =( add( X, multiply( inverse( X ), Y ) ), multiply(
% 0.43/1.07 'multiplicative_identity', add( X, Y ) ) ) ] )
% 0.43/1.07 , clause( 6, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.43/1.07 , 0, clause( 81, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ),
% 0.43/1.07 add( X, Z ) ) ) ] )
% 0.43/1.07 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.43/1.07 :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 85, [ =( add( X, multiply( inverse( X ), Y ) ), add( X, Y ) ) ] )
% 0.43/1.07 , clause( 14, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.43/1.07 , 0, clause( 83, [ =( add( X, multiply( inverse( X ), Y ) ), multiply(
% 0.43/1.07 'multiplicative_identity', add( X, Y ) ) ) ] )
% 0.43/1.07 , 0, 7, substitution( 0, [ :=( X, add( X, Y ) )] ), substitution( 1, [ :=(
% 0.43/1.07 X, X ), :=( Y, Y )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 34, [ =( add( X, multiply( inverse( X ), Y ) ), add( X, Y ) ) ] )
% 0.43/1.07 , clause( 85, [ =( add( X, multiply( inverse( X ), Y ) ), add( X, Y ) ) ]
% 0.43/1.07 )
% 0.43/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 88, [ =( add( X, Y ), add( X, multiply( inverse( X ), Y ) ) ) ] )
% 0.43/1.07 , clause( 34, [ =( add( X, multiply( inverse( X ), Y ) ), add( X, Y ) ) ]
% 0.43/1.07 )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 90, [ =( add( X, 'multiplicative_identity' ), add( X, inverse( X )
% 0.43/1.07 ) ) ] )
% 0.43/1.07 , clause( 5, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.43/1.07 , 0, clause( 88, [ =( add( X, Y ), add( X, multiply( inverse( X ), Y ) ) )
% 0.43/1.07 ] )
% 0.43/1.07 , 0, 6, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.43/1.07 :=( X, X ), :=( Y, 'multiplicative_identity' )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 91, [ =( add( X, 'multiplicative_identity' ),
% 0.43/1.07 'multiplicative_identity' ) ] )
% 0.43/1.07 , clause( 6, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.43/1.07 , 0, clause( 90, [ =( add( X, 'multiplicative_identity' ), add( X, inverse(
% 0.43/1.07 X ) ) ) ] )
% 0.43/1.07 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.43/1.07 ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 44, [ =( add( X, 'multiplicative_identity' ),
% 0.43/1.07 'multiplicative_identity' ) ] )
% 0.43/1.07 , clause( 91, [ =( add( X, 'multiplicative_identity' ),
% 0.43/1.07 'multiplicative_identity' ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 93, [ =( 'multiplicative_identity', add( X,
% 0.43/1.07 'multiplicative_identity' ) ) ] )
% 0.43/1.07 , clause( 44, [ =( add( X, 'multiplicative_identity' ),
% 0.43/1.07 'multiplicative_identity' ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 94, [ ~( =( 'multiplicative_identity', add( a,
% 0.43/1.07 'multiplicative_identity' ) ) ) ] )
% 0.43/1.07 , clause( 8, [ ~( =( add( a, 'multiplicative_identity' ),
% 0.43/1.07 'multiplicative_identity' ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 95, [] )
% 0.43/1.07 , clause( 94, [ ~( =( 'multiplicative_identity', add( a,
% 0.43/1.07 'multiplicative_identity' ) ) ) ] )
% 0.43/1.07 , 0, clause( 93, [ =( 'multiplicative_identity', add( X,
% 0.43/1.07 'multiplicative_identity' ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 47, [] )
% 0.43/1.07 , clause( 95, [] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 end.
% 0.43/1.07
% 0.43/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.07
% 0.43/1.07 Memory use:
% 0.43/1.07
% 0.43/1.07 space for terms: 655
% 0.43/1.07 space for clauses: 5204
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 clauses generated: 173
% 0.43/1.07 clauses kept: 48
% 0.43/1.07 clauses selected: 19
% 0.43/1.07 clauses deleted: 0
% 0.43/1.07 clauses inuse deleted: 0
% 0.43/1.07
% 0.43/1.07 subsentry: 179
% 0.43/1.07 literals s-matched: 95
% 0.43/1.07 literals matched: 95
% 0.43/1.07 full subsumption: 0
% 0.43/1.07
% 0.43/1.07 checksum: 896020115
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Bliksem ended
%------------------------------------------------------------------------------