%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : RNG038-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n022.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 20:16:10 EDT 2022
% Result : Unsatisfiable 0.76s 1.16s
% Output : Refutation 0.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG038-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n022.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 08:35:37 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.76/1.16 *** allocated 10000 integers for termspace/termends
% 0.76/1.16 *** allocated 10000 integers for clauses
% 0.76/1.16 *** allocated 10000 integers for justifications
% 0.76/1.16 Bliksem 1.12
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 Automatic Strategy Selection
% 0.76/1.16
% 0.76/1.16 Clauses:
% 0.76/1.16 [
% 0.76/1.16 [ sum( 'additive_identity', X, X ) ],
% 0.76/1.16 [ sum( X, 'additive_identity', X ) ],
% 0.76/1.16 [ product( X, Y, multiply( X, Y ) ) ],
% 0.76/1.16 [ sum( X, Y, add( X, Y ) ) ],
% 0.76/1.16 [ sum( 'additive_inverse'( X ), X, 'additive_identity' ) ],
% 0.76/1.16 [ sum( X, 'additive_inverse'( X ), 'additive_identity' ) ],
% 0.76/1.16 [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T, W ) ), sum( X
% 0.76/1.16 , U, W ) ],
% 0.76/1.16 [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( X, U, W ) ), sum( Z
% 0.76/1.16 , T, W ) ],
% 0.76/1.16 [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ],
% 0.76/1.16 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( Z, T, W
% 0.76/1.16 ) ), product( X, U, W ) ],
% 0.76/1.16 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( X, U, W
% 0.76/1.16 ) ), product( Z, T, W ) ],
% 0.76/1.16 [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T, W ) )
% 0.76/1.16 , ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ],
% 0.76/1.16 [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T, W ) )
% 0.76/1.16 , ~( sum( Z, U, V0 ) ), product( X, W, V0 ) ],
% 0.76/1.16 [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X, T, W ) )
% 0.76/1.16 , ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ],
% 0.76/1.16 [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X, T, W ) )
% 0.76/1.16 , ~( sum( Z, U, V0 ) ), product( W, Y, V0 ) ],
% 0.76/1.16 [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ],
% 0.76/1.16 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 0.76/1.16 [ ~( =( X, 'additive_identity' ) ), product( X, h( X, Y ), Y ) ],
% 0.76/1.16 [ product( a, b, 'additive_identity' ) ],
% 0.76/1.16 [ ~( =( a, 'additive_identity' ) ) ],
% 0.76/1.16 [ ~( =( b, 'additive_identity' ) ) ]
% 0.76/1.16 ] .
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 percentage equality = 0.090909, percentage horn = 1.000000
% 0.76/1.16 This is a problem with some equality
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 Options Used:
% 0.76/1.16
% 0.76/1.16 useres = 1
% 0.76/1.16 useparamod = 1
% 0.76/1.16 useeqrefl = 1
% 0.76/1.16 useeqfact = 1
% 0.76/1.16 usefactor = 1
% 0.76/1.16 usesimpsplitting = 0
% 0.76/1.16 usesimpdemod = 5
% 0.76/1.16 usesimpres = 3
% 0.76/1.16
% 0.76/1.16 resimpinuse = 1000
% 0.76/1.16 resimpclauses = 20000
% 0.76/1.16 substype = eqrewr
% 0.76/1.16 backwardsubs = 1
% 0.76/1.16 selectoldest = 5
% 0.76/1.16
% 0.76/1.16 litorderings [0] = split
% 0.76/1.16 litorderings [1] = extend the termordering, first sorting on arguments
% 0.76/1.16
% 0.76/1.16 termordering = kbo
% 0.76/1.16
% 0.76/1.16 litapriori = 0
% 0.76/1.16 termapriori = 1
% 0.76/1.16 litaposteriori = 0
% 0.76/1.16 termaposteriori = 0
% 0.76/1.16 demodaposteriori = 0
% 0.76/1.16 ordereqreflfact = 0
% 0.76/1.16
% 0.76/1.16 litselect = negord
% 0.76/1.16
% 0.76/1.16 maxweight = 15
% 0.76/1.16 maxdepth = 30000
% 0.76/1.16 maxlength = 115
% 0.76/1.16 maxnrvars = 195
% 0.76/1.16 excuselevel = 1
% 0.76/1.16 increasemaxweight = 1
% 0.76/1.16
% 0.76/1.16 maxselected = 10000000
% 0.76/1.16 maxnrclauses = 10000000
% 0.76/1.16
% 0.76/1.16 showgenerated = 0
% 0.76/1.16 showkept = 0
% 0.76/1.16 showselected = 0
% 0.76/1.16 showdeleted = 0
% 0.76/1.16 showresimp = 1
% 0.76/1.16 showstatus = 2000
% 0.76/1.16
% 0.76/1.16 prologoutput = 1
% 0.76/1.16 nrgoals = 5000000
% 0.76/1.16 totalproof = 1
% 0.76/1.16
% 0.76/1.16 Symbols occurring in the translation:
% 0.76/1.16
% 0.76/1.16 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.76/1.16 . [1, 2] (w:1, o:28, a:1, s:1, b:0),
% 0.76/1.16 ! [4, 1] (w:0, o:22, a:1, s:1, b:0),
% 0.76/1.16 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.76/1.16 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.76/1.16 'additive_identity' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.76/1.16 sum [41, 3] (w:1, o:56, a:1, s:1, b:0),
% 0.76/1.16 multiply [43, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.76/1.16 product [44, 3] (w:1, o:57, a:1, s:1, b:0),
% 0.76/1.16 add [45, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.76/1.16 'additive_inverse' [46, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.76/1.16 h [55, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.76/1.16 a [56, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.76/1.16 b [57, 0] (w:1, o:21, a:1, s:1, b:0).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 Starting Search:
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 Bliksems!, er is een bewijs:
% 0.76/1.16 % SZS status Unsatisfiable
% 0.76/1.16 % SZS output start Refutation
% 0.76/1.16
% 0.76/1.16 clause( 0, [ sum( 'additive_identity', X, X ) ] )
% 0.76/1.16 .
% 0.76/1.16 clause( 1, [ sum( X, 'additive_identity', X ) ] )
% 0.76/1.16 .
% 0.76/1.16 clause( 4, [ sum( 'additive_inverse'( X ), X, 'additive_identity' ) ] )
% 0.76/1.16 .
% 0.76/1.16 clause( 6, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T, W ) )
% 0.76/1.16 , sum( X, U, W ) ] )
% 0.76/1.16 .
% 0.76/1.16 clause( 7, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( X, U, W ) )
% 0.76/1.16 , sum( Z, T, W ) ] )
% 0.76/1.16 .
% 0.76/1.16 clause( 8, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 0.76/1.16 .
% 0.76/1.16 clause( 13, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X,
% 0.76/1.16 T, W ) ), ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ] )
% 0.76/1.16 .
% 0.76/1.16 clause( 15, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 0.76/1.16 .
% 0.76/1.16 clause( 17, [ ~( =( X, 'additive_identity' ) ), product( X, h( X, Y ), Y )
% 0.76/1.16 ] )
% 0.76/1.16 .
% 0.76/1.16 clause( 19, [ ~( =( a, 'additive_identity' ) ) ] )
% 0.76/1.16 .
% 0.76/1.16 clause( 342, [ ~( product( X, Y, Z ) ), ~( product( 'additive_identity', Y
% 0.76/1.16 , T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 0.76/1.16 .
% 0.76/1.16 clause( 345, [ ~( product( 'additive_identity', X, Y ) ), ~( product(
% 0.76/1.16 'additive_identity', X, Z ) ), sum( Y, Z, Z ) ] )
% 0.76/1.16 .
% 0.76/1.16 clause( 346, [ ~( product( 'additive_identity', X, Y ) ), sum( Y, Y, Y ) ]
% 0.76/1.16 )
% 0.76/1.16 .
% 0.76/1.16 clause( 356, [ sum( X, X, X ) ] )
% 0.76/1.16 .
% 0.76/1.16 clause( 359, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), sum( Z, Y, T ) ]
% 0.76/1.16 )
% 0.76/1.16 .
% 0.76/1.16 clause( 365, [ ~( sum( X, Y, Z ) ), sum( Z, Y, Z ) ] )
% 0.76/1.16 .
% 0.76/1.16 clause( 437, [ sum( 'additive_identity', X, 'additive_identity' ) ] )
% 0.76/1.16 .
% 0.76/1.16 clause( 441, [ sum( X, 'additive_identity', 'additive_identity' ) ] )
% 0.76/1.16 .
% 0.76/1.16 clause( 449, [ ~( sum( 'additive_identity', X, Y ) ), ~( sum(
% 0.76/1.16 'additive_identity', X, Z ) ), sum( T, Y, Z ) ] )
% 0.76/1.16 .
% 0.76/1.16 clause( 452, [ ~( sum( 'additive_identity', X, Y ) ), sum( Z, Y, Y ) ] )
% 0.76/1.16 .
% 0.76/1.16 clause( 457, [ sum( X, Y, Y ) ] )
% 0.76/1.16 .
% 0.76/1.16 clause( 516, [ sum( X, Y, X ) ] )
% 0.76/1.16 .
% 0.76/1.16 clause( 520, [ ~( sum( X, Y, Z ) ), =( X, Z ) ] )
% 0.76/1.16 .
% 0.76/1.16 clause( 527, [ =( X, Y ) ] )
% 0.76/1.16 .
% 0.76/1.16 clause( 603, [ ~( =( X, 'additive_identity' ) ) ] )
% 0.76/1.16 .
% 0.76/1.16 clause( 604, [] )
% 0.76/1.16 .
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 % SZS output end Refutation
% 0.76/1.16 found a proof!
% 0.76/1.16
% 0.76/1.16 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.76/1.16
% 0.76/1.16 initialclauses(
% 0.76/1.16 [ clause( 606, [ sum( 'additive_identity', X, X ) ] )
% 0.76/1.16 , clause( 607, [ sum( X, 'additive_identity', X ) ] )
% 0.76/1.16 , clause( 608, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.76/1.16 , clause( 609, [ sum( X, Y, add( X, Y ) ) ] )
% 0.76/1.16 , clause( 610, [ sum( 'additive_inverse'( X ), X, 'additive_identity' ) ]
% 0.76/1.16 )
% 0.76/1.16 , clause( 611, [ sum( X, 'additive_inverse'( X ), 'additive_identity' ) ]
% 0.76/1.16 )
% 0.76/1.16 , clause( 612, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T, W
% 0.76/1.16 ) ), sum( X, U, W ) ] )
% 0.76/1.16 , clause( 613, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( X, U, W
% 0.76/1.16 ) ), sum( Z, T, W ) ] )
% 0.76/1.16 , clause( 614, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 0.76/1.16 , clause( 615, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.76/1.16 product( Z, T, W ) ), product( X, U, W ) ] )
% 0.76/1.16 , clause( 616, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.76/1.16 product( X, U, W ) ), product( Z, T, W ) ] )
% 0.76/1.16 , clause( 617, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 0.76/1.16 Y, T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 0.76/1.16 , clause( 618, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 0.76/1.16 Y, T, W ) ), ~( sum( Z, U, V0 ) ), product( X, W, V0 ) ] )
% 0.76/1.16 , clause( 619, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum(
% 0.76/1.16 X, T, W ) ), ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ] )
% 0.76/1.16 , clause( 620, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum(
% 0.76/1.16 X, T, W ) ), ~( sum( Z, U, V0 ) ), product( W, Y, V0 ) ] )
% 0.76/1.16 , clause( 621, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 0.76/1.16 , clause( 622, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T
% 0.76/1.16 ) ] )
% 0.76/1.16 , clause( 623, [ ~( =( X, 'additive_identity' ) ), product( X, h( X, Y ), Y
% 0.76/1.16 ) ] )
% 0.76/1.16 , clause( 624, [ product( a, b, 'additive_identity' ) ] )
% 0.76/1.16 , clause( 625, [ ~( =( a, 'additive_identity' ) ) ] )
% 0.76/1.16 , clause( 626, [ ~( =( b, 'additive_identity' ) ) ] )
% 0.76/1.16 ] ).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 subsumption(
% 0.76/1.16 clause( 0, [ sum( 'additive_identity', X, X ) ] )
% 0.76/1.16 , clause( 606, [ sum( 'additive_identity', X, X ) ] )
% 0.76/1.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 subsumption(
% 0.76/1.16 clause( 1, [ sum( X, 'additive_identity', X ) ] )
% 0.76/1.16 , clause( 607, [ sum( X, 'additive_identity', X ) ] )
% 0.76/1.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 subsumption(
% 0.76/1.16 clause( 4, [ sum( 'additive_inverse'( X ), X, 'additive_identity' ) ] )
% 0.76/1.16 , clause( 610, [ sum( 'additive_inverse'( X ), X, 'additive_identity' ) ]
% 0.76/1.16 )
% 0.76/1.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 subsumption(
% 0.76/1.16 clause( 6, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T, W ) )
% 0.76/1.16 , sum( X, U, W ) ] )
% 0.76/1.16 , clause( 612, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T, W
% 0.76/1.16 ) ), sum( X, U, W ) ] )
% 0.76/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.76/1.16 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.76/1.16 , 2 ), ==>( 3, 3 )] ) ).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 subsumption(
% 0.76/1.16 clause( 7, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( X, U, W ) )
% 0.76/1.16 , sum( Z, T, W ) ] )
% 0.76/1.16 , clause( 613, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( X, U, W
% 0.76/1.16 ) ), sum( Z, T, W ) ] )
% 0.76/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.76/1.16 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.76/1.16 , 2 ), ==>( 3, 3 )] ) ).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 subsumption(
% 0.76/1.16 clause( 8, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 0.76/1.16 , clause( 614, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 0.76/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.16 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 subsumption(
% 0.76/1.16 clause( 13, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X,
% 0.76/1.16 T, W ) ), ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ] )
% 0.76/1.16 , clause( 619, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum(
% 0.76/1.16 X, T, W ) ), ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ] )
% 0.76/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.76/1.16 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1
% 0.76/1.16 , 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 subsumption(
% 0.76/1.16 clause( 15, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 0.76/1.16 , clause( 621, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 0.76/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.76/1.16 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 subsumption(
% 0.76/1.16 clause( 17, [ ~( =( X, 'additive_identity' ) ), product( X, h( X, Y ), Y )
% 0.76/1.16 ] )
% 0.76/1.16 , clause( 623, [ ~( =( X, 'additive_identity' ) ), product( X, h( X, Y ), Y
% 0.76/1.16 ) ] )
% 0.76/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.16 ), ==>( 1, 1 )] ) ).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 subsumption(
% 0.76/1.16 clause( 19, [ ~( =( a, 'additive_identity' ) ) ] )
% 0.76/1.16 , clause( 625, [ ~( =( a, 'additive_identity' ) ) ] )
% 0.76/1.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 resolution(
% 0.76/1.16 clause( 772, [ ~( product( X, Y, Z ) ), ~( product( 'additive_identity', Y
% 0.76/1.16 , T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 0.76/1.16 , clause( 13, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X
% 0.76/1.16 , T, W ) ), ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ] )
% 0.76/1.16 , 2, clause( 1, [ sum( X, 'additive_identity', X ) ] )
% 0.76/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T,
% 0.76/1.16 'additive_identity' ), :=( U, T ), :=( W, X ), :=( V0, U )] ),
% 0.76/1.16 substitution( 1, [ :=( X, X )] )).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 subsumption(
% 0.76/1.16 clause( 342, [ ~( product( X, Y, Z ) ), ~( product( 'additive_identity', Y
% 0.76/1.16 , T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 0.76/1.16 , clause( 772, [ ~( product( X, Y, Z ) ), ~( product( 'additive_identity',
% 0.76/1.16 Y, T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 0.76/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.76/1.16 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3
% 0.76/1.16 , 3 )] ) ).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 factor(
% 0.76/1.16 clause( 779, [ ~( product( 'additive_identity', X, Y ) ), ~( product(
% 0.76/1.16 'additive_identity', X, Z ) ), sum( Y, Z, Z ) ] )
% 0.76/1.16 , clause( 342, [ ~( product( X, Y, Z ) ), ~( product( 'additive_identity',
% 0.76/1.16 Y, T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 0.76/1.16 , 1, 2, substitution( 0, [ :=( X, 'additive_identity' ), :=( Y, X ), :=( Z
% 0.76/1.16 , Y ), :=( T, Z ), :=( U, Z )] )).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 subsumption(
% 0.76/1.16 clause( 345, [ ~( product( 'additive_identity', X, Y ) ), ~( product(
% 0.76/1.16 'additive_identity', X, Z ) ), sum( Y, Z, Z ) ] )
% 0.76/1.16 , clause( 779, [ ~( product( 'additive_identity', X, Y ) ), ~( product(
% 0.76/1.16 'additive_identity', X, Z ) ), sum( Y, Z, Z ) ] )
% 0.76/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.16 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 factor(
% 0.76/1.16 clause( 781, [ ~( product( 'additive_identity', X, Y ) ), sum( Y, Y, Y ) ]
% 0.76/1.16 )
% 0.76/1.16 , clause( 345, [ ~( product( 'additive_identity', X, Y ) ), ~( product(
% 0.76/1.16 'additive_identity', X, Z ) ), sum( Y, Z, Z ) ] )
% 0.76/1.16 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 subsumption(
% 0.76/1.16 clause( 346, [ ~( product( 'additive_identity', X, Y ) ), sum( Y, Y, Y ) ]
% 0.76/1.16 )
% 0.76/1.16 , clause( 781, [ ~( product( 'additive_identity', X, Y ) ), sum( Y, Y, Y )
% 0.76/1.16 ] )
% 0.76/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.16 ), ==>( 1, 1 )] ) ).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 eqswap(
% 0.76/1.16 clause( 782, [ ~( =( 'additive_identity', X ) ), product( X, h( X, Y ), Y )
% 0.76/1.16 ] )
% 0.76/1.16 , clause( 17, [ ~( =( X, 'additive_identity' ) ), product( X, h( X, Y ), Y
% 0.76/1.16 ) ] )
% 0.76/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 resolution(
% 0.76/1.16 clause( 783, [ sum( X, X, X ), ~( =( 'additive_identity',
% 0.76/1.16 'additive_identity' ) ) ] )
% 0.76/1.16 , clause( 346, [ ~( product( 'additive_identity', X, Y ) ), sum( Y, Y, Y )
% 0.76/1.16 ] )
% 0.76/1.16 , 0, clause( 782, [ ~( =( 'additive_identity', X ) ), product( X, h( X, Y )
% 0.76/1.16 , Y ) ] )
% 0.76/1.16 , 1, substitution( 0, [ :=( X, h( 'additive_identity', X ) ), :=( Y, X )] )
% 0.76/1.16 , substitution( 1, [ :=( X, 'additive_identity' ), :=( Y, X )] )).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 eqrefl(
% 0.76/1.16 clause( 784, [ sum( X, X, X ) ] )
% 0.76/1.16 , clause( 783, [ sum( X, X, X ), ~( =( 'additive_identity',
% 0.76/1.16 'additive_identity' ) ) ] )
% 0.76/1.16 , 1, substitution( 0, [ :=( X, X )] )).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 subsumption(
% 0.76/1.16 clause( 356, [ sum( X, X, X ) ] )
% 0.76/1.16 , clause( 784, [ sum( X, X, X ) ] )
% 0.76/1.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 resolution(
% 0.76/1.16 clause( 786, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), sum( Z, Y, T ) ]
% 0.76/1.16 )
% 0.76/1.16 , clause( 7, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( X, U, W )
% 0.76/1.16 ), sum( Z, T, W ) ] )
% 0.76/1.16 , 1, clause( 356, [ sum( X, X, X ) ] )
% 0.76/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Y ),
% 0.76/1.16 :=( U, Y ), :=( W, T )] ), substitution( 1, [ :=( X, Y )] )).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 subsumption(
% 0.76/1.16 clause( 359, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), sum( Z, Y, T ) ]
% 0.76/1.16 )
% 0.76/1.16 , clause( 786, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), sum( Z, Y, T ) ]
% 0.76/1.16 )
% 0.76/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.76/1.16 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 factor(
% 0.76/1.16 clause( 790, [ ~( sum( X, Y, Z ) ), sum( Z, Y, Z ) ] )
% 0.76/1.16 , clause( 359, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), sum( Z, Y, T ) ]
% 0.76/1.16 )
% 0.76/1.16 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Z )] )
% 0.76/1.16 ).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 subsumption(
% 0.76/1.16 clause( 365, [ ~( sum( X, Y, Z ) ), sum( Z, Y, Z ) ] )
% 0.76/1.16 , clause( 790, [ ~( sum( X, Y, Z ) ), sum( Z, Y, Z ) ] )
% 0.76/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.16 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 resolution(
% 0.76/1.16 clause( 791, [ sum( 'additive_identity', X, 'additive_identity' ) ] )
% 0.76/1.16 , clause( 365, [ ~( sum( X, Y, Z ) ), sum( Z, Y, Z ) ] )
% 0.76/1.16 , 0, clause( 4, [ sum( 'additive_inverse'( X ), X, 'additive_identity' ) ]
% 0.76/1.16 )
% 0.76/1.16 , 0, substitution( 0, [ :=( X, 'additive_inverse'( X ) ), :=( Y, X ), :=( Z
% 0.76/1.16 , 'additive_identity' )] ), substitution( 1, [ :=( X, X )] )).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 subsumption(
% 0.76/1.16 clause( 437, [ sum( 'additive_identity', X, 'additive_identity' ) ] )
% 0.76/1.16 , clause( 791, [ sum( 'additive_identity', X, 'additive_identity' ) ] )
% 0.76/1.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 resolution(
% 0.76/1.16 clause( 792, [ sum( X, 'additive_identity', 'additive_identity' ) ] )
% 0.76/1.16 , clause( 8, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 0.76/1.16 , 0, clause( 437, [ sum( 'additive_identity', X, 'additive_identity' ) ] )
% 0.76/1.16 , 0, substitution( 0, [ :=( X, 'additive_identity' ), :=( Y, X ), :=( Z,
% 0.76/1.16 'additive_identity' )] ), substitution( 1, [ :=( X, X )] )).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 subsumption(
% 0.76/1.16 clause( 441, [ sum( X, 'additive_identity', 'additive_identity' ) ] )
% 0.76/1.16 , clause( 792, [ sum( X, 'additive_identity', 'additive_identity' ) ] )
% 0.76/1.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 resolution(
% 0.76/1.16 clause( 793, [ ~( sum( 'additive_identity', Y, Z ) ), ~( sum(
% 0.76/1.16 'additive_identity', Y, T ) ), sum( X, Z, T ) ] )
% 0.76/1.16 , clause( 6, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T, W )
% 0.76/1.16 ), sum( X, U, W ) ] )
% 0.76/1.16 , 0, clause( 441, [ sum( X, 'additive_identity', 'additive_identity' ) ] )
% 0.76/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'additive_identity' ), :=( Z,
% 0.76/1.16 'additive_identity' ), :=( T, Y ), :=( U, Z ), :=( W, T )] ),
% 0.76/1.16 substitution( 1, [ :=( X, X )] )).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 subsumption(
% 0.76/1.16 clause( 449, [ ~( sum( 'additive_identity', X, Y ) ), ~( sum(
% 0.76/1.16 'additive_identity', X, Z ) ), sum( T, Y, Z ) ] )
% 0.76/1.16 , clause( 793, [ ~( sum( 'additive_identity', Y, Z ) ), ~( sum(
% 0.76/1.16 'additive_identity', Y, T ) ), sum( X, Z, T ) ] )
% 0.76/1.16 , substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] ),
% 0.76/1.16 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 factor(
% 0.76/1.16 clause( 799, [ ~( sum( 'additive_identity', X, Y ) ), sum( Z, Y, Y ) ] )
% 0.76/1.16 , clause( 449, [ ~( sum( 'additive_identity', X, Y ) ), ~( sum(
% 0.76/1.16 'additive_identity', X, Z ) ), sum( T, Y, Z ) ] )
% 0.76/1.16 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, Z )] )
% 0.76/1.16 ).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 subsumption(
% 0.76/1.16 clause( 452, [ ~( sum( 'additive_identity', X, Y ) ), sum( Z, Y, Y ) ] )
% 0.76/1.16 , clause( 799, [ ~( sum( 'additive_identity', X, Y ) ), sum( Z, Y, Y ) ] )
% 0.76/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.16 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 resolution(
% 0.76/1.16 clause( 800, [ sum( Y, X, X ) ] )
% 0.76/1.16 , clause( 452, [ ~( sum( 'additive_identity', X, Y ) ), sum( Z, Y, Y ) ] )
% 0.76/1.16 , 0, clause( 0, [ sum( 'additive_identity', X, X ) ] )
% 0.76/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, Y )] ),
% 0.76/1.16 substitution( 1, [ :=( X, X )] )).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 subsumption(
% 0.76/1.16 clause( 457, [ sum( X, Y, Y ) ] )
% 0.76/1.16 , clause( 800, [ sum( Y, X, X ) ] )
% 0.76/1.16 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.16 )] ) ).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 resolution(
% 0.76/1.16 clause( 801, [ sum( Y, X, Y ) ] )
% 0.76/1.16 , clause( 8, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 0.76/1.16 , 0, clause( 457, [ sum( X, Y, Y ) ] )
% 0.76/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] ),
% 0.76/1.16 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 subsumption(
% 0.76/1.16 clause( 516, [ sum( X, Y, X ) ] )
% 0.76/1.16 , clause( 801, [ sum( Y, X, Y ) ] )
% 0.76/1.16 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.16 )] ) ).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 resolution(
% 0.76/1.16 clause( 802, [ ~( sum( X, Y, Z ) ), =( X, Z ) ] )
% 0.76/1.16 , clause( 15, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 0.76/1.16 , 0, clause( 516, [ sum( X, Y, X ) ] )
% 0.76/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, X ), :=( T, Z )] ),
% 0.76/1.16 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 subsumption(
% 0.76/1.16 clause( 520, [ ~( sum( X, Y, Z ) ), =( X, Z ) ] )
% 0.76/1.16 , clause( 802, [ ~( sum( X, Y, Z ) ), =( X, Z ) ] )
% 0.76/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.16 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 eqswap(
% 0.76/1.16 clause( 804, [ =( Y, X ), ~( sum( X, Z, Y ) ) ] )
% 0.76/1.16 , clause( 520, [ ~( sum( X, Y, Z ) ), =( X, Z ) ] )
% 0.76/1.16 , 1, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 resolution(
% 0.76/1.16 clause( 805, [ =( X, Y ) ] )
% 0.76/1.16 , clause( 804, [ =( Y, X ), ~( sum( X, Z, Y ) ) ] )
% 0.76/1.16 , 1, clause( 457, [ sum( X, Y, Y ) ] )
% 0.76/1.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ),
% 0.76/1.16 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 subsumption(
% 0.76/1.16 clause( 527, [ =( X, Y ) ] )
% 0.76/1.16 , clause( 805, [ =( X, Y ) ] )
% 0.76/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.16 )] ) ).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 eqswap(
% 0.76/1.16 clause( 806, [ ~( =( 'additive_identity', a ) ) ] )
% 0.76/1.16 , clause( 19, [ ~( =( a, 'additive_identity' ) ) ] )
% 0.76/1.16 , 0, substitution( 0, [] )).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 paramod(
% 0.76/1.16 clause( 808, [ ~( =( 'additive_identity', X ) ) ] )
% 0.76/1.16 , clause( 527, [ =( X, Y ) ] )
% 0.76/1.16 , 0, clause( 806, [ ~( =( 'additive_identity', a ) ) ] )
% 0.76/1.16 , 0, 3, substitution( 0, [ :=( X, a ), :=( Y, X )] ), substitution( 1, [] )
% 0.76/1.16 ).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 paramod(
% 0.76/1.16 clause( 809, [ ~( =( Y, X ) ) ] )
% 0.76/1.16 , clause( 527, [ =( X, Y ) ] )
% 0.76/1.16 , 0, clause( 808, [ ~( =( 'additive_identity', X ) ) ] )
% 0.76/1.16 , 0, 2, substitution( 0, [ :=( X, 'additive_identity' ), :=( Y, Y )] ),
% 0.76/1.16 substitution( 1, [ :=( X, X )] )).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 subsumption(
% 0.76/1.16 clause( 603, [ ~( =( X, 'additive_identity' ) ) ] )
% 0.76/1.16 , clause( 809, [ ~( =( Y, X ) ) ] )
% 0.76/1.16 , substitution( 0, [ :=( X, 'additive_identity' ), :=( Y, X )] ),
% 0.76/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 eqswap(
% 0.76/1.16 clause( 810, [ ~( =( 'additive_identity', X ) ) ] )
% 0.76/1.16 , clause( 603, [ ~( =( X, 'additive_identity' ) ) ] )
% 0.76/1.16 , 0, substitution( 0, [ :=( X, X )] )).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 eqrefl(
% 0.76/1.16 clause( 811, [] )
% 0.76/1.16 , clause( 810, [ ~( =( 'additive_identity', X ) ) ] )
% 0.76/1.16 , 0, substitution( 0, [ :=( X, 'additive_identity' )] )).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 subsumption(
% 0.76/1.16 clause( 604, [] )
% 0.76/1.16 , clause( 811, [] )
% 0.76/1.16 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 end.
% 0.76/1.16
% 0.76/1.16 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.76/1.16
% 0.76/1.16 Memory use:
% 0.76/1.16
% 0.76/1.16 space for terms: 11574
% 0.76/1.16 space for clauses: 25415
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 clauses generated: 2741
% 0.76/1.16 clauses kept: 605
% 0.76/1.16 clauses selected: 51
% 0.76/1.16 clauses deleted: 4
% 0.76/1.16 clauses inuse deleted: 0
% 0.76/1.16
% 0.76/1.16 subsentry: 37284
% 0.76/1.16 literals s-matched: 17006
% 0.76/1.16 literals matched: 16184
% 0.76/1.16 full subsumption: 14498
% 0.76/1.16
% 0.76/1.16 checksum: -23142203
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 Bliksem ended
%------------------------------------------------------------------------------