TSTP Solution File: FLD039-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : FLD039-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.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 : Sat Jul 16 01:51:07 EDT 2022
% Result : Unsatisfiable 0.70s 1.08s
% Output : Refutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : FLD039-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.10/0.13 % Command : bliksem %s
% 0.13/0.33 % Computer : n017.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Mon Jun 6 12:52:46 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.70/1.08 *** allocated 10000 integers for termspace/termends
% 0.70/1.08 *** allocated 10000 integers for clauses
% 0.70/1.08 *** allocated 10000 integers for justifications
% 0.70/1.08 Bliksem 1.12
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 Automatic Strategy Selection
% 0.70/1.08
% 0.70/1.08 Clauses:
% 0.70/1.08 [
% 0.70/1.08 [ equalish( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ), ~( defined(
% 0.70/1.08 X ) ), ~( defined( Y ) ), ~( defined( Z ) ) ],
% 0.70/1.08 [ equalish( add( 'additive_identity', X ), X ), ~( defined( X ) ) ],
% 0.70/1.08 [ equalish( add( X, 'additive_inverse'( X ) ), 'additive_identity' ),
% 0.70/1.08 ~( defined( X ) ) ],
% 0.70/1.08 [ equalish( add( X, Y ), add( Y, X ) ), ~( defined( X ) ), ~( defined( Y
% 0.70/1.08 ) ) ],
% 0.70/1.08 [ equalish( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.70/1.08 , Z ) ), ~( defined( X ) ), ~( defined( Y ) ), ~( defined( Z ) ) ],
% 0.70/1.08 [ equalish( multiply( 'multiplicative_identity', X ), X ), ~( defined( X
% 0.70/1.08 ) ) ],
% 0.70/1.08 [ equalish( multiply( X, 'multiplicative_inverse'( X ) ),
% 0.70/1.08 'multiplicative_identity' ), ~( defined( X ) ), equalish( X,
% 0.70/1.08 'additive_identity' ) ],
% 0.70/1.08 [ equalish( multiply( X, Y ), multiply( Y, X ) ), ~( defined( X ) ), ~(
% 0.70/1.08 defined( Y ) ) ],
% 0.70/1.08 [ equalish( add( multiply( X, Y ), multiply( Z, Y ) ), multiply( add( X
% 0.70/1.08 , Z ), Y ) ), ~( defined( X ) ), ~( defined( Z ) ), ~( defined( Y ) ) ]
% 0.70/1.08 ,
% 0.70/1.08 [ defined( add( X, Y ) ), ~( defined( X ) ), ~( defined( Y ) ) ],
% 0.70/1.08 [ defined( 'additive_identity' ) ],
% 0.70/1.08 [ defined( 'additive_inverse'( X ) ), ~( defined( X ) ) ],
% 0.70/1.08 [ defined( multiply( X, Y ) ), ~( defined( X ) ), ~( defined( Y ) ) ]
% 0.70/1.08 ,
% 0.70/1.08 [ defined( 'multiplicative_identity' ) ],
% 0.70/1.08 [ defined( 'multiplicative_inverse'( X ) ), ~( defined( X ) ), equalish(
% 0.70/1.08 X, 'additive_identity' ) ],
% 0.70/1.08 [ equalish( X, Y ), ~( 'less_or_equal'( X, Y ) ), ~( 'less_or_equal'( Y
% 0.70/1.08 , X ) ) ],
% 0.70/1.08 [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( X, Z ) ), ~(
% 0.70/1.08 'less_or_equal'( Z, Y ) ) ],
% 0.70/1.08 [ 'less_or_equal'( X, Y ), 'less_or_equal'( Y, X ), ~( defined( X ) ),
% 0.70/1.08 ~( defined( Y ) ) ],
% 0.70/1.08 [ 'less_or_equal'( add( X, Y ), add( Z, Y ) ), ~( defined( Y ) ), ~(
% 0.70/1.08 'less_or_equal'( X, Z ) ) ],
% 0.70/1.08 [ 'less_or_equal'( 'additive_identity', multiply( X, Y ) ), ~(
% 0.70/1.08 'less_or_equal'( 'additive_identity', X ) ), ~( 'less_or_equal'(
% 0.70/1.08 'additive_identity', Y ) ) ],
% 0.70/1.08 [ equalish( X, X ), ~( defined( X ) ) ],
% 0.70/1.08 [ equalish( X, Y ), ~( equalish( Y, X ) ) ],
% 0.70/1.08 [ equalish( X, Y ), ~( equalish( X, Z ) ), ~( equalish( Z, Y ) ) ],
% 0.70/1.08 [ equalish( add( X, Y ), add( Z, Y ) ), ~( defined( Y ) ), ~( equalish(
% 0.70/1.08 X, Z ) ) ],
% 0.70/1.08 [ equalish( multiply( X, Y ), multiply( Z, Y ) ), ~( defined( Y ) ), ~(
% 0.70/1.08 equalish( X, Z ) ) ],
% 0.70/1.08 [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( Z, Y ) ), ~( equalish( Z
% 0.70/1.08 , X ) ) ],
% 0.70/1.08 [ ~( equalish( 'additive_identity', 'multiplicative_identity' ) ) ],
% 0.70/1.08 [ defined( a ) ],
% 0.70/1.08 [ ~( equalish( a, 'additive_identity' ) ) ],
% 0.70/1.08 [ equalish( 'multiplicative_identity', 'additive_identity' ) ]
% 0.70/1.08 ] .
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 percentage equality = 0.000000, percentage horn = 0.900000
% 0.70/1.08 This is a near-Horn, non-equality problem
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 Options Used:
% 0.70/1.08
% 0.70/1.08 useres = 1
% 0.70/1.08 useparamod = 0
% 0.70/1.08 useeqrefl = 0
% 0.70/1.08 useeqfact = 0
% 0.70/1.08 usefactor = 1
% 0.70/1.08 usesimpsplitting = 0
% 0.70/1.08 usesimpdemod = 0
% 0.70/1.08 usesimpres = 4
% 0.70/1.08
% 0.70/1.08 resimpinuse = 1000
% 0.70/1.08 resimpclauses = 20000
% 0.70/1.08 substype = standard
% 0.70/1.08 backwardsubs = 1
% 0.70/1.08 selectoldest = 5
% 0.70/1.08
% 0.70/1.08 litorderings [0] = split
% 0.70/1.08 litorderings [1] = liftord
% 0.70/1.08
% 0.70/1.08 termordering = none
% 0.70/1.08
% 0.70/1.08 litapriori = 1
% 0.70/1.08 termapriori = 0
% 0.70/1.08 litaposteriori = 0
% 0.70/1.08 termaposteriori = 0
% 0.70/1.08 demodaposteriori = 0
% 0.70/1.08 ordereqreflfact = 0
% 0.70/1.08
% 0.70/1.08 litselect = negative
% 0.70/1.08
% 0.70/1.08 maxweight = 30000
% 0.70/1.08 maxdepth = 30000
% 0.70/1.08 maxlength = 115
% 0.70/1.08 maxnrvars = 195
% 0.70/1.08 excuselevel = 0
% 0.70/1.08 increasemaxweight = 0
% 0.70/1.08
% 0.70/1.08 maxselected = 10000000
% 0.70/1.08 maxnrclauses = 10000000
% 0.70/1.08
% 0.70/1.08 showgenerated = 0
% 0.70/1.08 showkept = 0
% 0.70/1.08 showselected = 0
% 0.70/1.08 showdeleted = 0
% 0.70/1.08 showresimp = 1
% 0.70/1.08 showstatus = 2000
% 0.70/1.08
% 0.70/1.08 prologoutput = 1
% 0.70/1.08 nrgoals = 5000000
% 0.70/1.08 totalproof = 1
% 0.70/1.08
% 0.70/1.08 Symbols occurring in the translation:
% 0.70/1.08
% 0.70/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.70/1.08 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 0.70/1.08 ! [4, 1] (w:1, o:15, a:1, s:1, b:0),
% 0.70/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.08 add [42, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.70/1.08 equalish [43, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.70/1.08 defined [44, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.70/1.08 'additive_identity' [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.70/1.08 'additive_inverse' [46, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.70/1.08 multiply [47, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.70/1.08 'multiplicative_identity' [48, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.70/1.08 'multiplicative_inverse' [49, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.70/1.08 'less_or_equal' [50, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.70/1.08 a [51, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 Starting Search:
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 Bliksems!, er is een bewijs:
% 0.70/1.08 % SZS status Unsatisfiable
% 0.70/1.08 % SZS output start Refutation
% 0.70/1.08
% 0.70/1.08 clause( 21, [ equalish( X, Y ), ~( equalish( Y, X ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 26, [ ~( equalish( 'additive_identity', 'multiplicative_identity' )
% 0.70/1.08 ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 29, [ equalish( 'multiplicative_identity', 'additive_identity' ) ]
% 0.70/1.08 )
% 0.70/1.08 .
% 0.70/1.08 clause( 297, [] )
% 0.70/1.08 .
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 % SZS output end Refutation
% 0.70/1.08 found a proof!
% 0.70/1.08
% 0.70/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.08
% 0.70/1.08 initialclauses(
% 0.70/1.08 [ clause( 299, [ equalish( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ),
% 0.70/1.08 ~( defined( X ) ), ~( defined( Y ) ), ~( defined( Z ) ) ] )
% 0.70/1.08 , clause( 300, [ equalish( add( 'additive_identity', X ), X ), ~( defined(
% 0.70/1.08 X ) ) ] )
% 0.70/1.08 , clause( 301, [ equalish( add( X, 'additive_inverse'( X ) ),
% 0.70/1.08 'additive_identity' ), ~( defined( X ) ) ] )
% 0.70/1.08 , clause( 302, [ equalish( add( X, Y ), add( Y, X ) ), ~( defined( X ) ),
% 0.70/1.08 ~( defined( Y ) ) ] )
% 0.70/1.08 , clause( 303, [ equalish( multiply( X, multiply( Y, Z ) ), multiply(
% 0.70/1.08 multiply( X, Y ), Z ) ), ~( defined( X ) ), ~( defined( Y ) ), ~( defined(
% 0.70/1.08 Z ) ) ] )
% 0.70/1.08 , clause( 304, [ equalish( multiply( 'multiplicative_identity', X ), X ),
% 0.70/1.08 ~( defined( X ) ) ] )
% 0.70/1.08 , clause( 305, [ equalish( multiply( X, 'multiplicative_inverse'( X ) ),
% 0.70/1.08 'multiplicative_identity' ), ~( defined( X ) ), equalish( X,
% 0.70/1.08 'additive_identity' ) ] )
% 0.70/1.08 , clause( 306, [ equalish( multiply( X, Y ), multiply( Y, X ) ), ~( defined(
% 0.70/1.08 X ) ), ~( defined( Y ) ) ] )
% 0.70/1.08 , clause( 307, [ equalish( add( multiply( X, Y ), multiply( Z, Y ) ),
% 0.70/1.08 multiply( add( X, Z ), Y ) ), ~( defined( X ) ), ~( defined( Z ) ), ~(
% 0.70/1.08 defined( Y ) ) ] )
% 0.70/1.08 , clause( 308, [ defined( add( X, Y ) ), ~( defined( X ) ), ~( defined( Y )
% 0.70/1.08 ) ] )
% 0.70/1.08 , clause( 309, [ defined( 'additive_identity' ) ] )
% 0.70/1.08 , clause( 310, [ defined( 'additive_inverse'( X ) ), ~( defined( X ) ) ] )
% 0.70/1.08 , clause( 311, [ defined( multiply( X, Y ) ), ~( defined( X ) ), ~( defined(
% 0.70/1.08 Y ) ) ] )
% 0.70/1.08 , clause( 312, [ defined( 'multiplicative_identity' ) ] )
% 0.70/1.08 , clause( 313, [ defined( 'multiplicative_inverse'( X ) ), ~( defined( X )
% 0.70/1.08 ), equalish( X, 'additive_identity' ) ] )
% 0.70/1.08 , clause( 314, [ equalish( X, Y ), ~( 'less_or_equal'( X, Y ) ), ~(
% 0.70/1.08 'less_or_equal'( Y, X ) ) ] )
% 0.70/1.08 , clause( 315, [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( X, Z ) ), ~(
% 0.70/1.08 'less_or_equal'( Z, Y ) ) ] )
% 0.70/1.08 , clause( 316, [ 'less_or_equal'( X, Y ), 'less_or_equal'( Y, X ), ~(
% 0.70/1.08 defined( X ) ), ~( defined( Y ) ) ] )
% 0.70/1.08 , clause( 317, [ 'less_or_equal'( add( X, Y ), add( Z, Y ) ), ~( defined( Y
% 0.70/1.08 ) ), ~( 'less_or_equal'( X, Z ) ) ] )
% 0.70/1.08 , clause( 318, [ 'less_or_equal'( 'additive_identity', multiply( X, Y ) ),
% 0.70/1.08 ~( 'less_or_equal'( 'additive_identity', X ) ), ~( 'less_or_equal'(
% 0.70/1.08 'additive_identity', Y ) ) ] )
% 0.70/1.08 , clause( 319, [ equalish( X, X ), ~( defined( X ) ) ] )
% 0.70/1.08 , clause( 320, [ equalish( X, Y ), ~( equalish( Y, X ) ) ] )
% 0.70/1.08 , clause( 321, [ equalish( X, Y ), ~( equalish( X, Z ) ), ~( equalish( Z, Y
% 0.70/1.08 ) ) ] )
% 0.70/1.08 , clause( 322, [ equalish( add( X, Y ), add( Z, Y ) ), ~( defined( Y ) ),
% 0.70/1.08 ~( equalish( X, Z ) ) ] )
% 0.70/1.08 , clause( 323, [ equalish( multiply( X, Y ), multiply( Z, Y ) ), ~( defined(
% 0.70/1.08 Y ) ), ~( equalish( X, Z ) ) ] )
% 0.70/1.08 , clause( 324, [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( Z, Y ) ), ~(
% 0.70/1.08 equalish( Z, X ) ) ] )
% 0.70/1.08 , clause( 325, [ ~( equalish( 'additive_identity',
% 0.70/1.08 'multiplicative_identity' ) ) ] )
% 0.70/1.08 , clause( 326, [ defined( a ) ] )
% 0.70/1.08 , clause( 327, [ ~( equalish( a, 'additive_identity' ) ) ] )
% 0.70/1.08 , clause( 328, [ equalish( 'multiplicative_identity', 'additive_identity' )
% 0.70/1.08 ] )
% 0.70/1.08 ] ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 21, [ equalish( X, Y ), ~( equalish( Y, X ) ) ] )
% 0.70/1.08 , clause( 320, [ equalish( X, Y ), ~( equalish( Y, X ) ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.08 ), ==>( 1, 1 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 26, [ ~( equalish( 'additive_identity', 'multiplicative_identity' )
% 0.70/1.08 ) ] )
% 0.70/1.08 , clause( 325, [ ~( equalish( 'additive_identity',
% 0.70/1.08 'multiplicative_identity' ) ) ] )
% 0.70/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 29, [ equalish( 'multiplicative_identity', 'additive_identity' ) ]
% 0.70/1.08 )
% 0.70/1.08 , clause( 328, [ equalish( 'multiplicative_identity', 'additive_identity' )
% 0.70/1.08 ] )
% 0.70/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 resolution(
% 0.70/1.08 clause( 394, [ equalish( 'additive_identity', 'multiplicative_identity' ) ]
% 0.70/1.08 )
% 0.70/1.08 , clause( 21, [ equalish( X, Y ), ~( equalish( Y, X ) ) ] )
% 0.70/1.08 , 1, clause( 29, [ equalish( 'multiplicative_identity', 'additive_identity'
% 0.70/1.08 ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, 'additive_identity' ), :=( Y,
% 0.70/1.08 'multiplicative_identity' )] ), substitution( 1, [] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 resolution(
% 0.70/1.08 clause( 395, [] )
% 0.70/1.08 , clause( 26, [ ~( equalish( 'additive_identity', 'multiplicative_identity'
% 0.70/1.08 ) ) ] )
% 0.70/1.08 , 0, clause( 394, [ equalish( 'additive_identity',
% 0.70/1.08 'multiplicative_identity' ) ] )
% 0.70/1.08 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 297, [] )
% 0.70/1.08 , clause( 395, [] )
% 0.70/1.08 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 end.
% 0.70/1.08
% 0.70/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.08
% 0.70/1.08 Memory use:
% 0.70/1.08
% 0.70/1.08 space for terms: 4714
% 0.70/1.08 space for clauses: 24472
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 clauses generated: 315
% 0.70/1.08 clauses kept: 298
% 0.70/1.08 clauses selected: 54
% 0.70/1.08 clauses deleted: 0
% 0.70/1.08 clauses inuse deleted: 0
% 0.70/1.08
% 0.70/1.08 subsentry: 366
% 0.70/1.08 literals s-matched: 75
% 0.70/1.08 literals matched: 48
% 0.70/1.08 full subsumption: 4
% 0.70/1.08
% 0.70/1.08 checksum: 1987209870
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 Bliksem ended
%------------------------------------------------------------------------------