TSTP Solution File: RNG001-4 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : RNG001-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n025.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 : Mon Jul 18 20:16:02 EDT 2022
% Result : Unsatisfiable 0.61s 1.04s
% Output : Refutation 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG001-4 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Mon May 30 19:19:57 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.61/1.04 *** allocated 10000 integers for termspace/termends
% 0.61/1.04 *** allocated 10000 integers for clauses
% 0.61/1.04 *** allocated 10000 integers for justifications
% 0.61/1.04 Bliksem 1.12
% 0.61/1.04
% 0.61/1.04
% 0.61/1.04 Automatic Strategy Selection
% 0.61/1.04
% 0.61/1.04 Clauses:
% 0.61/1.04 [
% 0.61/1.04 [ sum( 'additive_identity', X, X ) ],
% 0.61/1.04 [ sum( X, 'additive_identity', X ) ],
% 0.61/1.04 [ product( X, Y, multiply( X, Y ) ) ],
% 0.61/1.04 [ sum( X, Y, add( X, Y ) ) ],
% 0.61/1.04 [ sum( 'additive_inverse'( X ), X, 'additive_identity' ) ],
% 0.61/1.04 [ sum( X, 'additive_inverse'( X ), 'additive_identity' ) ],
% 0.61/1.04 [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T, W ) ), sum( X
% 0.61/1.04 , U, W ) ],
% 0.61/1.04 [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( X, U, W ) ), sum( Z
% 0.61/1.04 , T, W ) ],
% 0.61/1.04 [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ],
% 0.61/1.04 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( Z, T, W
% 0.61/1.04 ) ), product( X, U, W ) ],
% 0.61/1.04 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( X, U, W
% 0.61/1.04 ) ), product( Z, T, W ) ],
% 0.61/1.04 [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T, W ) )
% 0.61/1.04 , ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ],
% 0.61/1.04 [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T, W ) )
% 0.61/1.04 , ~( sum( Z, U, V0 ) ), product( X, W, V0 ) ],
% 0.61/1.04 [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X, T, W ) )
% 0.61/1.04 , ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ],
% 0.61/1.04 [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X, T, W ) )
% 0.61/1.04 , ~( sum( Z, U, V0 ) ), product( W, Y, V0 ) ],
% 0.61/1.04 [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ],
% 0.61/1.04 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 0.61/1.04 [ ~( sum( X, Y, Z ) ), ~( sum( X, T, Z ) ), =( Y, T ) ],
% 0.61/1.04 [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, Z ) ), =( X, T ) ],
% 0.61/1.04 [ ~( product( a, 'additive_identity', 'additive_identity' ) ) ]
% 0.61/1.04 ] .
% 0.61/1.04
% 0.61/1.04
% 0.61/1.04 percentage equality = 0.070175, percentage horn = 1.000000
% 0.61/1.04 This is a problem with some equality
% 0.61/1.04
% 0.61/1.04
% 0.61/1.04
% 0.61/1.04 Options Used:
% 0.61/1.04
% 0.61/1.04 useres = 1
% 0.61/1.04 useparamod = 1
% 0.61/1.04 useeqrefl = 1
% 0.61/1.04 useeqfact = 1
% 0.61/1.04 usefactor = 1
% 0.61/1.04 usesimpsplitting = 0
% 0.61/1.04 usesimpdemod = 5
% 0.61/1.04 usesimpres = 3
% 0.61/1.04
% 0.61/1.04 resimpinuse = 1000
% 0.61/1.04 resimpclauses = 20000
% 0.61/1.04 substype = eqrewr
% 0.61/1.04 backwardsubs = 1
% 0.61/1.04 selectoldest = 5
% 0.61/1.04
% 0.61/1.04 litorderings [0] = split
% 0.61/1.04 litorderings [1] = extend the termordering, first sorting on arguments
% 0.61/1.04
% 0.61/1.04 termordering = kbo
% 0.61/1.04
% 0.61/1.04 litapriori = 0
% 0.61/1.04 termapriori = 1
% 0.61/1.04 litaposteriori = 0
% 0.61/1.04 termaposteriori = 0
% 0.61/1.04 demodaposteriori = 0
% 0.61/1.04 ordereqreflfact = 0
% 0.61/1.04
% 0.61/1.04 litselect = negord
% 0.61/1.04
% 0.61/1.04 maxweight = 15
% 0.61/1.04 maxdepth = 30000
% 0.61/1.04 maxlength = 115
% 0.61/1.04 maxnrvars = 195
% 0.61/1.04 excuselevel = 1
% 0.61/1.04 increasemaxweight = 1
% 0.61/1.04
% 0.61/1.04 maxselected = 10000000
% 0.61/1.04 maxnrclauses = 10000000
% 0.61/1.04
% 0.61/1.04 showgenerated = 0
% 0.61/1.04 showkept = 0
% 0.61/1.04 showselected = 0
% 0.61/1.04 showdeleted = 0
% 0.61/1.04 showresimp = 1
% 0.61/1.04 showstatus = 2000
% 0.61/1.04
% 0.61/1.04 prologoutput = 1
% 0.61/1.04 nrgoals = 5000000
% 0.61/1.04 totalproof = 1
% 0.61/1.04
% 0.61/1.04 Symbols occurring in the translation:
% 0.61/1.04
% 0.61/1.04 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.61/1.04 . [1, 2] (w:1, o:27, a:1, s:1, b:0),
% 0.61/1.04 ! [4, 1] (w:0, o:21, a:1, s:1, b:0),
% 0.61/1.04 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.61/1.04 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.61/1.04 'additive_identity' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.61/1.04 sum [41, 3] (w:1, o:54, a:1, s:1, b:0),
% 0.61/1.04 multiply [43, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.61/1.04 product [44, 3] (w:1, o:55, a:1, s:1, b:0),
% 0.61/1.04 add [45, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.61/1.04 'additive_inverse' [46, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.61/1.04 a [55, 0] (w:1, o:20, a:1, s:1, b:0).
% 0.61/1.04
% 0.61/1.04
% 0.61/1.04 Starting Search:
% 0.61/1.04
% 0.61/1.04
% 0.61/1.04 Bliksems!, er is een bewijs:
% 0.61/1.04 % SZS status Unsatisfiable
% 0.61/1.04 % SZS output start Refutation
% 0.61/1.04
% 0.61/1.04 clause( 0, [ sum( 'additive_identity', X, X ) ] )
% 0.61/1.04 .
% 0.61/1.04 clause( 1, [ sum( X, 'additive_identity', X ) ] )
% 0.61/1.04 .
% 0.61/1.04 clause( 2, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.61/1.04 .
% 0.61/1.04 clause( 8, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 0.61/1.04 .
% 0.61/1.04 clause( 11, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y,
% 0.61/1.04 T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 0.61/1.04 .
% 0.61/1.04 clause( 18, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, Z ) ), =( X, T ) ] )
% 0.61/1.04 .
% 0.61/1.04 clause( 19, [ ~( product( a, 'additive_identity', 'additive_identity' ) ) ]
% 0.61/1.04 )
% 0.61/1.04 .
% 0.61/1.04 clause( 50, [ ~( sum( X, Y, Y ) ), =( 'additive_identity', X ) ] )
% 0.61/1.04 .
% 0.61/1.04 clause( 102, [ =( 'additive_identity', X ), ~( sum( Y, X, Y ) ) ] )
% 0.61/1.04 .
% 0.61/1.04 clause( 114, [ ~( product( a, X, X ) ), ~( sum( X, Y, Y ) ) ] )
% 0.61/1.04 .
% 0.61/1.04 clause( 330, [ ~( product( X, Y, Z ) ), ~( product( X, 'additive_identity'
% 0.61/1.04 , T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 0.61/1.04 .
% 0.61/1.04 clause( 333, [ ~( product( X, 'additive_identity', Y ) ), ~( product( X,
% 0.61/1.04 'additive_identity', Z ) ), sum( Y, Z, Z ) ] )
% 0.61/1.04 .
% 0.61/1.04 clause( 334, [ ~( product( X, 'additive_identity', Y ) ), sum( Y, Y, Y ) ]
% 0.61/1.04 )
% 0.61/1.04 .
% 0.61/1.04 clause( 343, [ ~( product( X, 'additive_identity', Y ) ), =(
% 0.61/1.04 'additive_identity', Y ) ] )
% 0.61/1.04 .
% 0.61/1.04 clause( 353, [ =( multiply( X, 'additive_identity' ), 'additive_identity' )
% 0.61/1.04 ] )
% 0.61/1.04 .
% 0.61/1.04 clause( 395, [ product( X, 'additive_identity', 'additive_identity' ) ] )
% 0.61/1.04 .
% 0.61/1.04 clause( 396, [] )
% 0.61/1.04 .
% 0.61/1.04
% 0.61/1.04
% 0.61/1.04 % SZS output end Refutation
% 0.61/1.04 found a proof!
% 0.61/1.04
% 0.61/1.04 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.61/1.04
% 0.61/1.04 initialclauses(
% 0.61/1.04 [ clause( 398, [ sum( 'additive_identity', X, X ) ] )
% 0.61/1.04 , clause( 399, [ sum( X, 'additive_identity', X ) ] )
% 0.61/1.04 , clause( 400, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.61/1.04 , clause( 401, [ sum( X, Y, add( X, Y ) ) ] )
% 0.61/1.04 , clause( 402, [ sum( 'additive_inverse'( X ), X, 'additive_identity' ) ]
% 0.61/1.04 )
% 0.61/1.04 , clause( 403, [ sum( X, 'additive_inverse'( X ), 'additive_identity' ) ]
% 0.61/1.04 )
% 0.61/1.04 , clause( 404, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T, W
% 0.61/1.04 ) ), sum( X, U, W ) ] )
% 0.61/1.04 , clause( 405, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( X, U, W
% 0.61/1.04 ) ), sum( Z, T, W ) ] )
% 0.61/1.04 , clause( 406, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 0.61/1.04 , clause( 407, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.61/1.04 product( Z, T, W ) ), product( X, U, W ) ] )
% 0.61/1.04 , clause( 408, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.61/1.04 product( X, U, W ) ), product( Z, T, W ) ] )
% 0.61/1.04 , clause( 409, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 0.61/1.04 Y, T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 0.61/1.04 , clause( 410, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 0.61/1.04 Y, T, W ) ), ~( sum( Z, U, V0 ) ), product( X, W, V0 ) ] )
% 0.61/1.04 , clause( 411, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum(
% 0.61/1.04 X, T, W ) ), ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ] )
% 0.61/1.04 , clause( 412, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum(
% 0.61/1.04 X, T, W ) ), ~( sum( Z, U, V0 ) ), product( W, Y, V0 ) ] )
% 0.61/1.04 , clause( 413, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 0.61/1.04 , clause( 414, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T
% 0.61/1.04 ) ] )
% 0.61/1.04 , clause( 415, [ ~( sum( X, Y, Z ) ), ~( sum( X, T, Z ) ), =( Y, T ) ] )
% 0.61/1.04 , clause( 416, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, Z ) ), =( X, T ) ] )
% 0.61/1.04 , clause( 417, [ ~( product( a, 'additive_identity', 'additive_identity' )
% 0.61/1.04 ) ] )
% 0.61/1.04 ] ).
% 0.61/1.04
% 0.61/1.04
% 0.61/1.04
% 0.61/1.04 subsumption(
% 0.61/1.04 clause( 0, [ sum( 'additive_identity', X, X ) ] )
% 0.61/1.04 , clause( 398, [ sum( 'additive_identity', X, X ) ] )
% 0.61/1.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.61/1.04
% 0.61/1.04
% 0.61/1.04 subsumption(
% 0.61/1.04 clause( 1, [ sum( X, 'additive_identity', X ) ] )
% 0.61/1.04 , clause( 399, [ sum( X, 'additive_identity', X ) ] )
% 0.61/1.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.61/1.04
% 0.61/1.04
% 0.61/1.04 subsumption(
% 0.61/1.04 clause( 2, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.61/1.04 , clause( 400, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.61/1.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.61/1.04 )] ) ).
% 0.61/1.04
% 0.61/1.04
% 0.61/1.04 subsumption(
% 0.61/1.04 clause( 8, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 0.61/1.04 , clause( 406, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 0.61/1.04 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.61/1.04 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.61/1.04
% 0.61/1.04
% 0.61/1.04 subsumption(
% 0.61/1.04 clause( 11, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y,
% 0.61/1.04 T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 0.61/1.04 , clause( 409, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 0.61/1.04 Y, T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 0.61/1.04 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.61/1.04 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1
% 0.61/1.04 , 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 0.61/1.04
% 0.61/1.04
% 0.61/1.04 subsumption(
% 0.61/1.04 clause( 18, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, Z ) ), =( X, T ) ] )
% 0.61/1.04 , clause( 416, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, Z ) ), =( X, T ) ] )
% 0.61/1.04 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.61/1.04 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.61/1.04
% 0.61/1.04
% 0.61/1.04 subsumption(
% 0.61/1.04 clause( 19, [ ~( product( a, 'additive_identity', 'additive_identity' ) ) ]
% 0.61/1.04 )
% 0.61/1.04 , clause( 417, [ ~( product( a, 'additive_identity', 'additive_identity' )
% 0.61/1.04 ) ] )
% 0.61/1.04 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.61/1.04
% 0.61/1.04
% 0.61/1.04 resolution(
% 0.61/1.04 clause( 514, [ ~( sum( Y, X, X ) ), =( 'additive_identity', Y ) ] )
% 0.61/1.04 , clause( 18, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, Z ) ), =( X, T ) ] )
% 0.61/1.04 , 0, clause( 0, [ sum( 'additive_identity', X, X ) ] )
% 0.61/1.04 , 0, substitution( 0, [ :=( X, 'additive_identity' ), :=( Y, X ), :=( Z, X
% 0.61/1.04 ), :=( T, Y )] ), substitution( 1, [ :=( X, X )] )).
% 0.61/1.04
% 0.61/1.04
% 0.61/1.04 subsumption(
% 0.61/1.04 clause( 50, [ ~( sum( X, Y, Y ) ), =( 'additive_identity', X ) ] )
% 0.61/1.04 , clause( 514, [ ~( sum( Y, X, X ) ), =( 'additive_identity', Y ) ] )
% 0.61/1.04 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.61/1.04 ), ==>( 1, 1 )] ) ).
% 0.61/1.04
% 0.61/1.04
% 0.61/1.04 eqswap(
% 0.61/1.04 clause( 516, [ =( X, 'additive_identity' ), ~( sum( X, Y, Y ) ) ] )
% 0.61/1.04 , clause( 50, [ ~( sum( X, Y, Y ) ), =( 'additive_identity', X ) ] )
% 0.61/1.04 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.61/1.04
% 0.61/1.04
% 0.61/1.04 resolution(
% 0.61/1.04 clause( 517, [ =( X, 'additive_identity' ), ~( sum( Y, X, Y ) ) ] )
% 0.61/1.04 , clause( 516, [ =( X, 'additive_identity' ), ~( sum( X, Y, Y ) ) ] )
% 0.61/1.04 , 1, clause( 8, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 0.61/1.04 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.61/1.04 , Y ), :=( Y, X ), :=( Z, Y )] )).
% 0.61/1.04
% 0.61/1.04
% 0.61/1.04 eqswap(
% 0.61/1.04 clause( 518, [ =( 'additive_identity', X ), ~( sum( Y, X, Y ) ) ] )
% 0.61/1.04 , clause( 517, [ =( X, 'additive_identity' ), ~( sum( Y, X, Y ) ) ] )
% 0.61/1.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.61/1.04
% 0.61/1.04
% 0.61/1.04 subsumption(
% 0.61/1.04 clause( 102, [ =( 'additive_identity', X ), ~( sum( Y, X, Y ) ) ] )
% 0.61/1.04 , clause( 518, [ =( 'additive_identity', X ), ~( sum( Y, X, Y ) ) ] )
% 0.61/1.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.61/1.04 ), ==>( 1, 1 )] ) ).
% 0.61/1.04
% 0.61/1.04
% 0.61/1.04 paramod(
% 0.61/1.04 clause( 543, [ ~( product( a, 'additive_identity', X ) ), ~( sum( X, Y, Y )
% 0.61/1.04 ) ] )
% 0.61/1.04 , clause( 50, [ ~( sum( X, Y, Y ) ), =( 'additive_identity', X ) ] )
% 0.61/1.04 , 1, clause( 19, [ ~( product( a, 'additive_identity', 'additive_identity'
% 0.61/1.04 ) ) ] )
% 0.61/1.04 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [] )
% 0.61/1.04 ).
% 0.61/1.04
% 0.61/1.04
% 0.61/1.04 paramod(
% 0.61/1.04 clause( 544, [ ~( product( a, Y, X ) ), ~( sum( Y, Z, Z ) ), ~( sum( X, T,
% 0.61/1.04 T ) ) ] )
% 0.61/1.04 , clause( 50, [ ~( sum( X, Y, Y ) ), =( 'additive_identity', X ) ] )
% 0.61/1.04 , 1, clause( 543, [ ~( product( a, 'additive_identity', X ) ), ~( sum( X, Y
% 0.61/1.04 , Y ) ) ] )
% 0.61/1.04 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.61/1.04 :=( X, X ), :=( Y, T )] )).
% 0.61/1.04
% 0.61/1.04
% 0.61/1.04 factor(
% 0.61/1.04 clause( 545, [ ~( product( a, X, X ) ), ~( sum( X, Y, Y ) ) ] )
% 0.61/1.04 , clause( 544, [ ~( product( a, Y, X ) ), ~( sum( Y, Z, Z ) ), ~( sum( X, T
% 0.61/1.04 , T ) ) ] )
% 0.61/1.04 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, Y ), :=( T, Y )] )
% 0.61/1.04 ).
% 0.61/1.04
% 0.61/1.04
% 0.61/1.04 subsumption(
% 0.61/1.04 clause( 114, [ ~( product( a, X, X ) ), ~( sum( X, Y, Y ) ) ] )
% 0.61/1.04 , clause( 545, [ ~( product( a, X, X ) ), ~( sum( X, Y, Y ) ) ] )
% 0.61/1.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.61/1.04 ), ==>( 1, 1 )] ) ).
% 0.61/1.04
% 0.61/1.04
% 0.61/1.04 resolution(
% 0.61/1.04 clause( 546, [ ~( product( X, Y, Z ) ), ~( product( X, 'additive_identity'
% 0.61/1.04 , T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 0.61/1.04 , clause( 11, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y
% 0.61/1.04 , T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 0.61/1.04 , 2, clause( 1, [ sum( X, 'additive_identity', X ) ] )
% 0.61/1.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T,
% 0.61/1.04 'additive_identity' ), :=( U, T ), :=( W, Y ), :=( V0, U )] ),
% 0.61/1.04 substitution( 1, [ :=( X, Y )] )).
% 0.61/1.04
% 0.61/1.04
% 0.61/1.04 subsumption(
% 0.61/1.04 clause( 330, [ ~( product( X, Y, Z ) ), ~( product( X, 'additive_identity'
% 0.61/1.04 , T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 0.61/1.04 , clause( 546, [ ~( product( X, Y, Z ) ), ~( product( X,
% 0.61/1.04 'additive_identity', T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 0.61/1.04 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.61/1.04 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3
% 0.61/1.04 , 3 )] ) ).
% 0.61/1.04
% 0.61/1.04
% 0.61/1.04 factor(
% 0.61/1.04 clause( 553, [ ~( product( X, 'additive_identity', Y ) ), ~( product( X,
% 0.61/1.04 'additive_identity', Z ) ), sum( Y, Z, Z ) ] )
% 0.61/1.04 , clause( 330, [ ~( product( X, Y, Z ) ), ~( product( X,
% 0.61/1.04 'additive_identity', T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 0.61/1.04 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, 'additive_identity' ), :=( Z
% 0.61/1.04 , Y ), :=( T, Z ), :=( U, Z )] )).
% 0.61/1.04
% 0.61/1.04
% 0.61/1.04 subsumption(
% 0.61/1.04 clause( 333, [ ~( product( X, 'additive_identity', Y ) ), ~( product( X,
% 0.61/1.04 'additive_identity', Z ) ), sum( Y, Z, Z ) ] )
% 0.61/1.04 , clause( 553, [ ~( product( X, 'additive_identity', Y ) ), ~( product( X,
% 0.61/1.04 'additive_identity', Z ) ), sum( Y, Z, Z ) ] )
% 0.61/1.04 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.61/1.04 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.61/1.04
% 0.61/1.04
% 0.61/1.04 factor(
% 0.61/1.04 clause( 555, [ ~( product( X, 'additive_identity', Y ) ), sum( Y, Y, Y ) ]
% 0.61/1.04 )
% 0.61/1.04 , clause( 333, [ ~( product( X, 'additive_identity', Y ) ), ~( product( X,
% 0.61/1.04 'additive_identity', Z ) ), sum( Y, Z, Z ) ] )
% 0.61/1.04 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 0.61/1.04
% 0.61/1.04
% 0.61/1.04 subsumption(
% 0.61/1.04 clause( 334, [ ~( product( X, 'additive_identity', Y ) ), sum( Y, Y, Y ) ]
% 0.61/1.04 )
% 0.61/1.04 , clause( 555, [ ~( product( X, 'additive_identity', Y ) ), sum( Y, Y, Y )
% 0.61/1.04 ] )
% 0.61/1.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.61/1.04 ), ==>( 1, 1 )] ) ).
% 0.61/1.04
% 0.61/1.04
% 0.61/1.04 eqswap(
% 0.61/1.04 clause( 556, [ =( X, 'additive_identity' ), ~( sum( Y, X, Y ) ) ] )
% 0.61/1.04 , clause( 102, [ =( 'additive_identity', X ), ~( sum( Y, X, Y ) ) ] )
% 0.61/1.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.61/1.04
% 0.61/1.04
% 0.61/1.04 resolution(
% 0.61/1.04 clause( 557, [ =( X, 'additive_identity' ), ~( product( Y,
% 0.61/1.04 'additive_identity', X ) ) ] )
% 0.61/1.04 , clause( 556, [ =( X, 'additive_identity' ), ~( sum( Y, X, Y ) ) ] )
% 0.61/1.04 , 1, clause( 334, [ ~( product( X, 'additive_identity', Y ) ), sum( Y, Y, Y
% 0.61/1.04 ) ] )
% 0.61/1.04 , 1, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [ :=( X
% 0.61/1.04 , Y ), :=( Y, X )] )).
% 0.61/1.04
% 0.61/1.04
% 0.61/1.04 eqswap(
% 0.61/1.04 clause( 558, [ =( 'additive_identity', X ), ~( product( Y,
% 0.61/1.04 'additive_identity', X ) ) ] )
% 0.61/1.04 , clause( 557, [ =( X, 'additive_identity' ), ~( product( Y,
% 0.61/1.04 'additive_identity', X ) ) ] )
% 0.61/1.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.61/1.04
% 0.61/1.04
% 0.61/1.04 subsumption(
% 0.61/1.04 clause( 343, [ ~( product( X, 'additive_identity', Y ) ), =(
% 0.61/1.04 'additive_identity', Y ) ] )
% 0.61/1.04 , clause( 558, [ =( 'additive_identity', X ), ~( product( Y,
% 0.61/1.04 'additive_identity', X ) ) ] )
% 0.61/1.04 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 0.61/1.04 ), ==>( 1, 0 )] ) ).
% 0.61/1.04
% 0.61/1.04
% 0.61/1.04 eqswap(
% 0.61/1.04 clause( 559, [ =( X, 'additive_identity' ), ~( product( Y,
% 0.61/1.04 'additive_identity', X ) ) ] )
% 0.61/1.04 , clause( 343, [ ~( product( X, 'additive_identity', Y ) ), =(
% 0.61/1.04 'additive_identity', Y ) ] )
% 0.61/1.04 , 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.61/1.04
% 0.61/1.04
% 0.61/1.04 resolution(
% 0.61/1.04 clause( 560, [ =( multiply( X, 'additive_identity' ), 'additive_identity' )
% 0.61/1.04 ] )
% 0.61/1.04 , clause( 559, [ =( X, 'additive_identity' ), ~( product( Y,
% 0.61/1.04 'additive_identity', X ) ) ] )
% 0.61/1.04 , 1, clause( 2, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.61/1.04 , 0, substitution( 0, [ :=( X, multiply( X, 'additive_identity' ) ), :=( Y
% 0.61/1.04 , X )] ), substitution( 1, [ :=( X, X ), :=( Y, 'additive_identity' )] )
% 0.61/1.04 ).
% 0.61/1.04
% 0.61/1.04
% 0.61/1.04 subsumption(
% 0.61/1.04 clause( 353, [ =( multiply( X, 'additive_identity' ), 'additive_identity' )
% 0.61/1.04 ] )
% 0.61/1.04 , clause( 560, [ =( multiply( X, 'additive_identity' ), 'additive_identity'
% 0.61/1.04 ) ] )
% 0.61/1.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.61/1.04
% 0.61/1.04
% 0.61/1.04 paramod(
% 0.61/1.04 clause( 563, [ product( X, 'additive_identity', 'additive_identity' ) ] )
% 0.61/1.04 , clause( 353, [ =( multiply( X, 'additive_identity' ), 'additive_identity'
% 0.61/1.04 ) ] )
% 0.61/1.04 , 0, clause( 2, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.61/1.04 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.61/1.04 :=( Y, 'additive_identity' )] )).
% 0.61/1.04
% 0.61/1.04
% 0.61/1.04 subsumption(
% 0.61/1.04 clause( 395, [ product( X, 'additive_identity', 'additive_identity' ) ] )
% 0.61/1.04 , clause( 563, [ product( X, 'additive_identity', 'additive_identity' ) ]
% 0.61/1.04 )
% 0.61/1.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.61/1.04
% 0.61/1.04
% 0.61/1.04 resolution(
% 0.61/1.04 clause( 564, [ ~( sum( 'additive_identity', X, X ) ) ] )
% 0.61/1.04 , clause( 114, [ ~( product( a, X, X ) ), ~( sum( X, Y, Y ) ) ] )
% 0.61/1.04 , 0, clause( 395, [ product( X, 'additive_identity', 'additive_identity' )
% 0.61/1.04 ] )
% 0.61/1.04 , 0, substitution( 0, [ :=( X, 'additive_identity' ), :=( Y, X )] ),
% 0.61/1.04 substitution( 1, [ :=( X, a )] )).
% 0.61/1.04
% 0.61/1.04
% 0.61/1.04 resolution(
% 0.61/1.04 clause( 565, [] )
% 0.61/1.04 , clause( 564, [ ~( sum( 'additive_identity', X, X ) ) ] )
% 0.61/1.04 , 0, clause( 0, [ sum( 'additive_identity', X, X ) ] )
% 0.61/1.04 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.61/1.04 ).
% 0.61/1.04
% 0.61/1.04
% 0.61/1.04 subsumption(
% 0.61/1.04 clause( 396, [] )
% 0.61/1.04 , clause( 565, [] )
% 0.61/1.04 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.61/1.04
% 0.61/1.04
% 0.61/1.04 end.
% 0.61/1.04
% 0.61/1.04 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.61/1.04
% 0.61/1.04 Memory use:
% 0.61/1.04
% 0.61/1.04 space for terms: 6742
% 0.61/1.04 space for clauses: 16123
% 0.61/1.04
% 0.61/1.04
% 0.61/1.04 clauses generated: 1496
% 0.61/1.04 clauses kept: 397
% 0.61/1.04 clauses selected: 35
% 0.61/1.04 clauses deleted: 0
% 0.61/1.04 clauses inuse deleted: 0
% 0.61/1.04
% 0.61/1.04 subsentry: 15954
% 0.61/1.04 literals s-matched: 6435
% 0.61/1.04 literals matched: 5876
% 0.61/1.04 full subsumption: 4351
% 0.61/1.04
% 0.61/1.04 checksum: 1485635878
% 0.61/1.04
% 0.61/1.04
% 0.61/1.04 Bliksem ended
%------------------------------------------------------------------------------