TSTP Solution File: FLD006-3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : FLD006-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 01:50:52 EDT 2022
% Result : Unsatisfiable 0.74s 1.13s
% Output : Refutation 0.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : FLD006-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.04/0.14 % Command : bliksem %s
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Mon Jun 6 21:30:24 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.74/1.13 *** allocated 10000 integers for termspace/termends
% 0.74/1.13 *** allocated 10000 integers for clauses
% 0.74/1.13 *** allocated 10000 integers for justifications
% 0.74/1.13 Bliksem 1.12
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 Automatic Strategy Selection
% 0.74/1.13
% 0.74/1.13 Clauses:
% 0.74/1.13 [
% 0.74/1.13 [ sum( X, Y, Z ), ~( sum( X, T, U ) ), ~( sum( T, W, Y ) ), ~( sum( U, W
% 0.74/1.13 , Z ) ) ],
% 0.74/1.13 [ sum( X, Y, Z ), ~( sum( T, U, X ) ), ~( sum( U, Y, W ) ), ~( sum( T, W
% 0.74/1.13 , Z ) ) ],
% 0.74/1.13 [ sum( 'additive_identity', X, X ), ~( defined( X ) ) ],
% 0.74/1.13 [ sum( 'additive_inverse'( X ), X, 'additive_identity' ), ~( defined( X
% 0.74/1.13 ) ) ],
% 0.74/1.13 [ sum( X, Y, Z ), ~( sum( Y, X, Z ) ) ],
% 0.74/1.13 [ product( X, Y, Z ), ~( product( X, T, U ) ), ~( product( T, W, Y ) ),
% 0.74/1.13 ~( product( U, W, Z ) ) ],
% 0.74/1.13 [ product( X, Y, Z ), ~( product( T, U, X ) ), ~( product( U, Y, W ) ),
% 0.74/1.13 ~( product( T, W, Z ) ) ],
% 0.74/1.13 [ product( 'multiplicative_identity', X, X ), ~( defined( X ) ) ],
% 0.74/1.13 [ product( 'multiplicative_inverse'( X ), X, 'multiplicative_identity' )
% 0.74/1.13 , sum( 'additive_identity', X, 'additive_identity' ), ~( defined( X ) ) ]
% 0.74/1.13 ,
% 0.74/1.13 [ product( X, Y, Z ), ~( product( Y, X, Z ) ) ],
% 0.74/1.13 [ sum( X, Y, Z ), ~( sum( T, U, W ) ), ~( product( W, V0, Z ) ), ~(
% 0.74/1.13 product( T, V0, X ) ), ~( product( U, V0, Y ) ) ],
% 0.74/1.13 [ product( X, Y, Z ), ~( sum( T, U, X ) ), ~( product( T, Y, W ) ), ~(
% 0.74/1.13 product( U, Y, V0 ) ), ~( sum( W, V0, Z ) ) ],
% 0.74/1.13 [ defined( add( X, Y ) ), ~( defined( X ) ), ~( defined( Y ) ) ],
% 0.74/1.13 [ defined( 'additive_identity' ) ],
% 0.74/1.13 [ defined( 'additive_inverse'( X ) ), ~( defined( X ) ) ],
% 0.74/1.13 [ defined( multiply( X, Y ) ), ~( defined( X ) ), ~( defined( Y ) ) ]
% 0.74/1.13 ,
% 0.74/1.13 [ defined( 'multiplicative_identity' ) ],
% 0.74/1.13 [ defined( 'multiplicative_inverse'( X ) ), ~( defined( X ) ), sum(
% 0.74/1.13 'additive_identity', X, 'additive_identity' ) ],
% 0.74/1.13 [ sum( X, Y, add( X, Y ) ), ~( defined( X ) ), ~( defined( Y ) ) ],
% 0.74/1.13 [ product( X, Y, multiply( X, Y ) ), ~( defined( X ) ), ~( defined( Y )
% 0.74/1.13 ) ],
% 0.74/1.13 [ sum( 'additive_identity', X, Y ), ~( 'less_or_equal'( X, Y ) ), ~(
% 0.74/1.13 'less_or_equal'( Y, X ) ) ],
% 0.74/1.13 [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( X, Z ) ), ~(
% 0.74/1.13 'less_or_equal'( Z, Y ) ) ],
% 0.74/1.13 [ 'less_or_equal'( X, Y ), 'less_or_equal'( Y, X ), ~( defined( X ) ),
% 0.74/1.13 ~( defined( Y ) ) ],
% 0.74/1.13 [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( Z, T ) ), ~( sum( Z, U, X
% 0.74/1.13 ) ), ~( sum( T, U, Y ) ) ],
% 0.74/1.13 [ 'less_or_equal'( 'additive_identity', X ), ~( 'less_or_equal'(
% 0.74/1.13 'additive_identity', Y ) ), ~( 'less_or_equal'( 'additive_identity', Z )
% 0.74/1.13 ), ~( product( Y, Z, X ) ) ],
% 0.74/1.13 [ ~( sum( 'additive_identity', 'additive_identity',
% 0.74/1.13 'multiplicative_identity' ) ) ],
% 0.74/1.13 [ ~( sum( 'additive_identity', 'additive_inverse'( 'additive_identity' )
% 0.74/1.13 , 'additive_identity' ) ) ]
% 0.74/1.13 ] .
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 percentage equality = 0.000000, percentage horn = 0.888889
% 0.74/1.13 This a non-horn, non-equality problem
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 Options Used:
% 0.74/1.13
% 0.74/1.13 useres = 1
% 0.74/1.13 useparamod = 0
% 0.74/1.13 useeqrefl = 0
% 0.74/1.13 useeqfact = 0
% 0.74/1.13 usefactor = 1
% 0.74/1.13 usesimpsplitting = 0
% 0.74/1.13 usesimpdemod = 0
% 0.74/1.13 usesimpres = 3
% 0.74/1.13
% 0.74/1.13 resimpinuse = 1000
% 0.74/1.13 resimpclauses = 20000
% 0.74/1.13 substype = standard
% 0.74/1.13 backwardsubs = 1
% 0.74/1.13 selectoldest = 5
% 0.74/1.13
% 0.74/1.13 litorderings [0] = split
% 0.74/1.13 litorderings [1] = liftord
% 0.74/1.13
% 0.74/1.13 termordering = none
% 0.74/1.13
% 0.74/1.13 litapriori = 1
% 0.74/1.13 termapriori = 0
% 0.74/1.13 litaposteriori = 0
% 0.74/1.13 termaposteriori = 0
% 0.74/1.13 demodaposteriori = 0
% 0.74/1.13 ordereqreflfact = 0
% 0.74/1.13
% 0.74/1.13 litselect = none
% 0.74/1.13
% 0.74/1.13 maxweight = 15
% 0.74/1.13 maxdepth = 30000
% 0.74/1.13 maxlength = 115
% 0.74/1.13 maxnrvars = 195
% 0.74/1.13 excuselevel = 1
% 0.74/1.13 increasemaxweight = 1
% 0.74/1.13
% 0.74/1.13 maxselected = 10000000
% 0.74/1.13 maxnrclauses = 10000000
% 0.74/1.13
% 0.74/1.13 showgenerated = 0
% 0.74/1.13 showkept = 0
% 0.74/1.13 showselected = 0
% 0.74/1.13 showdeleted = 0
% 0.74/1.13 showresimp = 1
% 0.74/1.13 showstatus = 2000
% 0.74/1.13
% 0.74/1.13 prologoutput = 1
% 0.74/1.13 nrgoals = 5000000
% 0.74/1.13 totalproof = 1
% 0.74/1.13
% 0.74/1.13 Symbols occurring in the translation:
% 0.74/1.13
% 0.74/1.13 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.74/1.13 . [1, 2] (w:1, o:29, a:1, s:1, b:0),
% 0.74/1.13 ! [4, 1] (w:0, o:21, a:1, s:1, b:0),
% 0.74/1.13 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.13 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.13 sum [42, 3] (w:1, o:57, a:1, s:1, b:0),
% 0.74/1.13 'additive_identity' [46, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.74/1.13 defined [47, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.74/1.13 'additive_inverse' [48, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.74/1.13 product [49, 3] (w:1, o:58, a:1, s:1, b:0),
% 0.74/1.13 'multiplicative_identity' [50, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.74/1.13 'multiplicative_inverse' [51, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.74/1.13 add [56, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.74/1.13 multiply [57, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.74/1.13 'less_or_equal' [58, 2] (w:1, o:55, a:1, s:1, b:0).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 Starting Search:
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 Bliksems!, er is een bewijs:
% 0.74/1.13 % SZS status Unsatisfiable
% 0.74/1.13 % SZS output start Refutation
% 0.74/1.13
% 0.74/1.13 clause( 3, [ ~( defined( X ) ), sum( 'additive_inverse'( X ), X,
% 0.74/1.13 'additive_identity' ) ] )
% 0.74/1.13 .
% 0.74/1.13 clause( 4, [ ~( sum( Y, X, Z ) ), sum( X, Y, Z ) ] )
% 0.74/1.13 .
% 0.74/1.13 clause( 13, [ defined( 'additive_identity' ) ] )
% 0.74/1.13 .
% 0.74/1.13 clause( 26, [ ~( sum( 'additive_identity', 'additive_inverse'(
% 0.74/1.13 'additive_identity' ), 'additive_identity' ) ) ] )
% 0.74/1.13 .
% 0.74/1.13 clause( 150, [ ~( sum( 'additive_inverse'( 'additive_identity' ),
% 0.74/1.13 'additive_identity', 'additive_identity' ) ) ] )
% 0.74/1.13 .
% 0.74/1.13 clause( 161, [] )
% 0.74/1.13 .
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 % SZS output end Refutation
% 0.74/1.13 found a proof!
% 0.74/1.13
% 0.74/1.13 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.13
% 0.74/1.13 initialclauses(
% 0.74/1.13 [ clause( 163, [ sum( X, Y, Z ), ~( sum( X, T, U ) ), ~( sum( T, W, Y ) ),
% 0.74/1.13 ~( sum( U, W, Z ) ) ] )
% 0.74/1.13 , clause( 164, [ sum( X, Y, Z ), ~( sum( T, U, X ) ), ~( sum( U, Y, W ) ),
% 0.74/1.13 ~( sum( T, W, Z ) ) ] )
% 0.74/1.13 , clause( 165, [ sum( 'additive_identity', X, X ), ~( defined( X ) ) ] )
% 0.74/1.13 , clause( 166, [ sum( 'additive_inverse'( X ), X, 'additive_identity' ),
% 0.74/1.13 ~( defined( X ) ) ] )
% 0.74/1.13 , clause( 167, [ sum( X, Y, Z ), ~( sum( Y, X, Z ) ) ] )
% 0.74/1.13 , clause( 168, [ product( X, Y, Z ), ~( product( X, T, U ) ), ~( product( T
% 0.74/1.13 , W, Y ) ), ~( product( U, W, Z ) ) ] )
% 0.74/1.13 , clause( 169, [ product( X, Y, Z ), ~( product( T, U, X ) ), ~( product( U
% 0.74/1.13 , Y, W ) ), ~( product( T, W, Z ) ) ] )
% 0.74/1.13 , clause( 170, [ product( 'multiplicative_identity', X, X ), ~( defined( X
% 0.74/1.13 ) ) ] )
% 0.74/1.13 , clause( 171, [ product( 'multiplicative_inverse'( X ), X,
% 0.74/1.13 'multiplicative_identity' ), sum( 'additive_identity', X,
% 0.74/1.13 'additive_identity' ), ~( defined( X ) ) ] )
% 0.74/1.13 , clause( 172, [ product( X, Y, Z ), ~( product( Y, X, Z ) ) ] )
% 0.74/1.13 , clause( 173, [ sum( X, Y, Z ), ~( sum( T, U, W ) ), ~( product( W, V0, Z
% 0.74/1.13 ) ), ~( product( T, V0, X ) ), ~( product( U, V0, Y ) ) ] )
% 0.74/1.13 , clause( 174, [ product( X, Y, Z ), ~( sum( T, U, X ) ), ~( product( T, Y
% 0.74/1.13 , W ) ), ~( product( U, Y, V0 ) ), ~( sum( W, V0, Z ) ) ] )
% 0.74/1.13 , clause( 175, [ defined( add( X, Y ) ), ~( defined( X ) ), ~( defined( Y )
% 0.74/1.13 ) ] )
% 0.74/1.13 , clause( 176, [ defined( 'additive_identity' ) ] )
% 0.74/1.13 , clause( 177, [ defined( 'additive_inverse'( X ) ), ~( defined( X ) ) ] )
% 0.74/1.13 , clause( 178, [ defined( multiply( X, Y ) ), ~( defined( X ) ), ~( defined(
% 0.74/1.13 Y ) ) ] )
% 0.74/1.13 , clause( 179, [ defined( 'multiplicative_identity' ) ] )
% 0.74/1.13 , clause( 180, [ defined( 'multiplicative_inverse'( X ) ), ~( defined( X )
% 0.74/1.13 ), sum( 'additive_identity', X, 'additive_identity' ) ] )
% 0.74/1.13 , clause( 181, [ sum( X, Y, add( X, Y ) ), ~( defined( X ) ), ~( defined( Y
% 0.74/1.13 ) ) ] )
% 0.74/1.13 , clause( 182, [ product( X, Y, multiply( X, Y ) ), ~( defined( X ) ), ~(
% 0.74/1.13 defined( Y ) ) ] )
% 0.74/1.13 , clause( 183, [ sum( 'additive_identity', X, Y ), ~( 'less_or_equal'( X, Y
% 0.74/1.13 ) ), ~( 'less_or_equal'( Y, X ) ) ] )
% 0.74/1.13 , clause( 184, [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( X, Z ) ), ~(
% 0.74/1.13 'less_or_equal'( Z, Y ) ) ] )
% 0.74/1.13 , clause( 185, [ 'less_or_equal'( X, Y ), 'less_or_equal'( Y, X ), ~(
% 0.74/1.13 defined( X ) ), ~( defined( Y ) ) ] )
% 0.74/1.13 , clause( 186, [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( Z, T ) ), ~(
% 0.74/1.13 sum( Z, U, X ) ), ~( sum( T, U, Y ) ) ] )
% 0.74/1.13 , clause( 187, [ 'less_or_equal'( 'additive_identity', X ), ~(
% 0.74/1.13 'less_or_equal'( 'additive_identity', Y ) ), ~( 'less_or_equal'(
% 0.74/1.13 'additive_identity', Z ) ), ~( product( Y, Z, X ) ) ] )
% 0.74/1.13 , clause( 188, [ ~( sum( 'additive_identity', 'additive_identity',
% 0.74/1.13 'multiplicative_identity' ) ) ] )
% 0.74/1.13 , clause( 189, [ ~( sum( 'additive_identity', 'additive_inverse'(
% 0.74/1.13 'additive_identity' ), 'additive_identity' ) ) ] )
% 0.74/1.13 ] ).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 subsumption(
% 0.74/1.13 clause( 3, [ ~( defined( X ) ), sum( 'additive_inverse'( X ), X,
% 0.74/1.13 'additive_identity' ) ] )
% 0.74/1.13 , clause( 166, [ sum( 'additive_inverse'( X ), X, 'additive_identity' ),
% 0.74/1.13 ~( defined( X ) ) ] )
% 0.74/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.74/1.13 0 )] ) ).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 subsumption(
% 0.74/1.13 clause( 4, [ ~( sum( Y, X, Z ) ), sum( X, Y, Z ) ] )
% 0.74/1.13 , clause( 167, [ sum( X, Y, Z ), ~( sum( Y, X, Z ) ) ] )
% 0.74/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.13 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 subsumption(
% 0.74/1.13 clause( 13, [ defined( 'additive_identity' ) ] )
% 0.74/1.13 , clause( 176, [ defined( 'additive_identity' ) ] )
% 0.74/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 subsumption(
% 0.74/1.13 clause( 26, [ ~( sum( 'additive_identity', 'additive_inverse'(
% 0.74/1.13 'additive_identity' ), 'additive_identity' ) ) ] )
% 0.74/1.13 , clause( 189, [ ~( sum( 'additive_identity', 'additive_inverse'(
% 0.74/1.13 'additive_identity' ), 'additive_identity' ) ) ] )
% 0.74/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 resolution(
% 0.74/1.13 clause( 263, [ ~( sum( 'additive_inverse'( 'additive_identity' ),
% 0.74/1.13 'additive_identity', 'additive_identity' ) ) ] )
% 0.74/1.13 , clause( 26, [ ~( sum( 'additive_identity', 'additive_inverse'(
% 0.74/1.13 'additive_identity' ), 'additive_identity' ) ) ] )
% 0.74/1.13 , 0, clause( 4, [ ~( sum( Y, X, Z ) ), sum( X, Y, Z ) ] )
% 0.74/1.13 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'additive_identity' )
% 0.74/1.13 , :=( Y, 'additive_inverse'( 'additive_identity' ) ), :=( Z,
% 0.74/1.13 'additive_identity' )] )).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 subsumption(
% 0.74/1.13 clause( 150, [ ~( sum( 'additive_inverse'( 'additive_identity' ),
% 0.74/1.13 'additive_identity', 'additive_identity' ) ) ] )
% 0.74/1.13 , clause( 263, [ ~( sum( 'additive_inverse'( 'additive_identity' ),
% 0.74/1.13 'additive_identity', 'additive_identity' ) ) ] )
% 0.74/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 resolution(
% 0.74/1.13 clause( 264, [ ~( defined( 'additive_identity' ) ) ] )
% 0.74/1.13 , clause( 150, [ ~( sum( 'additive_inverse'( 'additive_identity' ),
% 0.74/1.13 'additive_identity', 'additive_identity' ) ) ] )
% 0.74/1.13 , 0, clause( 3, [ ~( defined( X ) ), sum( 'additive_inverse'( X ), X,
% 0.74/1.13 'additive_identity' ) ] )
% 0.74/1.13 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'additive_identity' )] )
% 0.74/1.13 ).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 resolution(
% 0.74/1.13 clause( 265, [] )
% 0.74/1.13 , clause( 264, [ ~( defined( 'additive_identity' ) ) ] )
% 0.74/1.13 , 0, clause( 13, [ defined( 'additive_identity' ) ] )
% 0.74/1.13 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 subsumption(
% 0.74/1.13 clause( 161, [] )
% 0.74/1.13 , clause( 265, [] )
% 0.74/1.13 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 end.
% 0.74/1.13
% 0.74/1.13 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.13
% 0.74/1.13 Memory use:
% 0.74/1.13
% 0.74/1.13 space for terms: 2912
% 0.74/1.13 space for clauses: 8176
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 clauses generated: 340
% 0.74/1.13 clauses kept: 162
% 0.74/1.13 clauses selected: 27
% 0.74/1.13 clauses deleted: 0
% 0.74/1.13 clauses inuse deleted: 0
% 0.74/1.13
% 0.74/1.13 subsentry: 2518
% 0.74/1.13 literals s-matched: 1026
% 0.74/1.13 literals matched: 963
% 0.74/1.13 full subsumption: 856
% 0.74/1.13
% 0.74/1.13 checksum: 668120264
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 Bliksem ended
%------------------------------------------------------------------------------