TSTP Solution File: RNG003-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : RNG003-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.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 0.76s 1.47s
% Output : Refutation 0.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : RNG003-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : bliksem %s
% 0.14/0.35 % Computer : n019.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 May 30 08:03:26 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.76/1.47 *** allocated 10000 integers for termspace/termends
% 0.76/1.47 *** allocated 10000 integers for clauses
% 0.76/1.47 *** allocated 10000 integers for justifications
% 0.76/1.47 Bliksem 1.12
% 0.76/1.47
% 0.76/1.47
% 0.76/1.47 Automatic Strategy Selection
% 0.76/1.47
% 0.76/1.47 Clauses:
% 0.76/1.47 [
% 0.76/1.47 [ sum( 'additive_identity', X, X ) ],
% 0.76/1.47 [ sum( X, 'additive_identity', X ) ],
% 0.76/1.47 [ product( X, Y, multiply( X, Y ) ) ],
% 0.76/1.47 [ sum( X, Y, add( X, Y ) ) ],
% 0.76/1.47 [ sum( 'additive_inverse'( X ), X, 'additive_identity' ) ],
% 0.76/1.47 [ sum( X, 'additive_inverse'( X ), 'additive_identity' ) ],
% 0.76/1.47 [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T, W ) ), sum( X
% 0.76/1.47 , U, W ) ],
% 0.76/1.47 [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( X, U, W ) ), sum( Z
% 0.76/1.47 , T, W ) ],
% 0.76/1.47 [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ],
% 0.76/1.47 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( Z, T, W
% 0.76/1.47 ) ), product( X, U, W ) ],
% 0.76/1.47 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( X, U, W
% 0.76/1.47 ) ), product( Z, T, W ) ],
% 0.76/1.47 [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T, W ) )
% 0.76/1.47 , ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ],
% 0.76/1.47 [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T, W ) )
% 0.76/1.47 , ~( sum( Z, U, V0 ) ), product( X, W, V0 ) ],
% 0.76/1.47 [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X, T, W ) )
% 0.76/1.47 , ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ],
% 0.76/1.47 [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X, T, W ) )
% 0.76/1.47 , ~( sum( Z, U, V0 ) ), product( W, Y, V0 ) ],
% 0.76/1.47 [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ],
% 0.76/1.47 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 0.76/1.47 [ sum( a, c, d ) ],
% 0.76/1.47 [ sum( b, c, d ) ],
% 0.76/1.47 [ ~( =( a, b ) ) ]
% 0.76/1.47 ] .
% 0.76/1.47
% 0.76/1.47
% 0.76/1.47 percentage equality = 0.056604, percentage horn = 1.000000
% 0.76/1.47 This is a problem with some equality
% 0.76/1.47
% 0.76/1.47
% 0.76/1.47
% 0.76/1.47 Options Used:
% 0.76/1.47
% 0.76/1.47 useres = 1
% 0.76/1.47 useparamod = 1
% 0.76/1.47 useeqrefl = 1
% 0.76/1.47 useeqfact = 1
% 0.76/1.47 usefactor = 1
% 0.76/1.47 usesimpsplitting = 0
% 0.76/1.47 usesimpdemod = 5
% 0.76/1.47 usesimpres = 3
% 0.76/1.47
% 0.76/1.47 resimpinuse = 1000
% 0.76/1.47 resimpclauses = 20000
% 0.76/1.47 substype = eqrewr
% 0.76/1.47 backwardsubs = 1
% 0.76/1.47 selectoldest = 5
% 0.76/1.47
% 0.76/1.47 litorderings [0] = split
% 0.76/1.47 litorderings [1] = extend the termordering, first sorting on arguments
% 0.76/1.47
% 0.76/1.47 termordering = kbo
% 0.76/1.47
% 0.76/1.47 litapriori = 0
% 0.76/1.47 termapriori = 1
% 0.76/1.47 litaposteriori = 0
% 0.76/1.47 termaposteriori = 0
% 0.76/1.47 demodaposteriori = 0
% 0.76/1.47 ordereqreflfact = 0
% 0.76/1.47
% 0.76/1.47 litselect = negord
% 0.76/1.47
% 0.76/1.47 maxweight = 15
% 0.76/1.47 maxdepth = 30000
% 0.76/1.47 maxlength = 115
% 0.76/1.47 maxnrvars = 195
% 0.76/1.47 excuselevel = 1
% 0.76/1.47 increasemaxweight = 1
% 0.76/1.47
% 0.76/1.47 maxselected = 10000000
% 0.76/1.47 maxnrclauses = 10000000
% 0.76/1.47
% 0.76/1.47 showgenerated = 0
% 0.76/1.47 showkept = 0
% 0.76/1.47 showselected = 0
% 0.76/1.47 showdeleted = 0
% 0.76/1.47 showresimp = 1
% 0.76/1.47 showstatus = 2000
% 0.76/1.47
% 0.76/1.47 prologoutput = 1
% 0.76/1.47 nrgoals = 5000000
% 0.76/1.47 totalproof = 1
% 0.76/1.47
% 0.76/1.47 Symbols occurring in the translation:
% 0.76/1.47
% 0.76/1.47 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.76/1.47 . [1, 2] (w:1, o:30, a:1, s:1, b:0),
% 0.76/1.47 ! [4, 1] (w:0, o:24, a:1, s:1, b:0),
% 0.76/1.47 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.76/1.47 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.76/1.47 'additive_identity' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.76/1.47 sum [41, 3] (w:1, o:57, a:1, s:1, b:0),
% 0.76/1.47 multiply [43, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.76/1.47 product [44, 3] (w:1, o:58, a:1, s:1, b:0),
% 0.76/1.47 add [45, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.76/1.47 'additive_inverse' [46, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.76/1.47 a [55, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.76/1.47 c [56, 0] (w:1, o:22, a:1, s:1, b:0),
% 0.76/1.47 d [57, 0] (w:1, o:23, a:1, s:1, b:0),
% 0.76/1.47 b [58, 0] (w:1, o:21, a:1, s:1, b:0).
% 0.76/1.47
% 0.76/1.47
% 0.76/1.47 Starting Search:
% 0.76/1.47
% 0.76/1.47 Resimplifying inuse:
% 0.76/1.47 Done
% 0.76/1.47
% 0.76/1.47
% 0.76/1.47 Intermediate Status:
% 0.76/1.47 Generated: 6658
% 0.76/1.47 Kept: 2046
% 0.76/1.47 Inuse: 90
% 0.76/1.47 Deleted: 15
% 0.76/1.47 Deletedinuse: 8
% 0.76/1.47
% 0.76/1.47 Resimplifying inuse:
% 0.76/1.47 Done
% 0.76/1.47
% 0.76/1.47 Resimplifying inuse:
% 0.76/1.47 Done
% 0.76/1.47
% 0.76/1.47
% 0.76/1.47 Intermediate Status:
% 0.76/1.47 Generated: 17548
% 0.76/1.47 Kept: 4065
% 0.76/1.47 Inuse: 191
% 0.76/1.47 Deleted: 51
% 0.76/1.47 Deletedinuse: 30
% 0.76/1.47
% 0.76/1.47 Resimplifying inuse:
% 0.76/1.47 Done
% 0.76/1.47
% 0.76/1.47 Resimplifying inuse:
% 0.76/1.47 Done
% 0.76/1.47
% 0.76/1.47
% 0.76/1.47 Intermediate Status:
% 0.76/1.47 Generated: 23832
% 0.76/1.47 Kept: 6109
% 0.76/1.47 Inuse: 239
% 0.76/1.47 Deleted: 59
% 0.76/1.47 Deletedinuse: 37
% 0.76/1.47
% 0.76/1.47 Resimplifying inuse:
% 0.76/1.47 Done
% 0.76/1.47
% 0.76/1.47
% 0.76/1.47 Bliksems!, er is een bewijs:
% 0.76/1.47 % SZS status Unsatisfiable
% 0.76/1.47 % SZS output start Refutation
% 0.76/1.47
% 0.76/1.47 clause( 0, [ sum( 'additive_identity', X, X ) ] )
% 0.76/1.47 .
% 0.76/1.47 clause( 1, [ sum( X, 'additive_identity', X ) ] )
% 0.76/1.47 .
% 0.76/1.47 clause( 2, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.76/1.47 .
% 0.76/1.47 clause( 3, [ sum( X, Y, add( X, Y ) ) ] )
% 0.76/1.47 .
% 0.76/1.47 clause( 4, [ sum( 'additive_inverse'( X ), X, 'additive_identity' ) ] )
% 0.76/1.47 .
% 0.76/1.47 clause( 5, [ sum( X, 'additive_inverse'( X ), 'additive_identity' ) ] )
% 0.76/1.47 .
% 0.76/1.47 clause( 6, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T, W ) )
% 0.76/1.47 , sum( X, U, W ) ] )
% 0.76/1.47 .
% 0.76/1.47 clause( 7, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( X, U, W ) )
% 0.76/1.47 , sum( Z, T, W ) ] )
% 0.76/1.47 .
% 0.76/1.47 clause( 8, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 0.76/1.47 .
% 0.76/1.47 clause( 11, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y,
% 0.76/1.47 T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 0.76/1.47 .
% 0.76/1.47 clause( 15, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 0.76/1.47 .
% 0.76/1.47 clause( 16, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 0.76/1.47 )
% 0.76/1.47 .
% 0.76/1.47 clause( 17, [ sum( a, c, d ) ] )
% 0.76/1.47 .
% 0.76/1.47 clause( 18, [ sum( b, c, d ) ] )
% 0.76/1.47 .
% 0.76/1.47 clause( 19, [ ~( =( b, a ) ) ] )
% 0.76/1.47 .
% 0.76/1.47 clause( 22, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, Y ) ), sum( Z, T, Z ) ] )
% 0.76/1.47 .
% 0.76/1.47 clause( 55, [ ~( sum( X, Y, Z ) ), ~( sum( Z, T, U ) ), sum( X, add( Y, T )
% 0.76/1.47 , U ) ] )
% 0.76/1.47 .
% 0.76/1.47 clause( 64, [ ~( sum( X, a, Y ) ), ~( sum( Y, c, Z ) ), sum( X, d, Z ) ] )
% 0.76/1.47 .
% 0.76/1.47 clause( 218, [ ~( product( X, Y, Z ) ), ~( product( X, 'additive_identity'
% 0.76/1.47 , T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 0.76/1.47 .
% 0.76/1.47 clause( 221, [ ~( product( X, 'additive_identity', Y ) ), ~( product( X,
% 0.76/1.47 'additive_identity', Z ) ), sum( Y, Z, Z ) ] )
% 0.76/1.47 .
% 0.76/1.47 clause( 222, [ ~( product( X, 'additive_identity', Y ) ), sum( Y, Y, Y ) ]
% 0.76/1.47 )
% 0.76/1.47 .
% 0.76/1.47 clause( 247, [ sum( multiply( X, 'additive_identity' ), multiply( X,
% 0.76/1.47 'additive_identity' ), multiply( X, 'additive_identity' ) ) ] )
% 0.76/1.47 .
% 0.76/1.47 clause( 436, [ ~( sum( 'additive_identity', X, Y ) ), =( X, Y ) ] )
% 0.76/1.47 .
% 0.76/1.47 clause( 590, [ ~( =( X, a ) ), ~( sum( 'additive_identity', X, b ) ) ] )
% 0.76/1.47 .
% 0.76/1.47 clause( 591, [ ~( sum( 'additive_identity', a, b ) ) ] )
% 0.76/1.47 .
% 0.76/1.47 clause( 1042, [ ~( sum( X, Y, X ) ), sum( 'additive_identity', Y,
% 0.76/1.47 'additive_identity' ) ] )
% 0.76/1.47 .
% 0.76/1.47 clause( 1601, [ ~( sum( X, Y, X ) ), =( Y, 'additive_identity' ) ] )
% 0.76/1.47 .
% 0.76/1.47 clause( 1610, [ sum( 'additive_identity', multiply( X, 'additive_identity'
% 0.76/1.47 ), 'additive_identity' ) ] )
% 0.76/1.47 .
% 0.76/1.47 clause( 1669, [ =( multiply( X, 'additive_identity' ), 'additive_identity'
% 0.76/1.47 ) ] )
% 0.76/1.47 .
% 0.76/1.47 clause( 1694, [ product( X, 'additive_identity', 'additive_identity' ) ] )
% 0.76/1.47 .
% 0.76/1.47 clause( 1696, [ ~( product( X, 'additive_identity', Y ) ), =(
% 0.76/1.47 'additive_identity', Y ) ] )
% 0.76/1.47 .
% 0.76/1.47 clause( 1815, [ sum( X, Y, Y ), ~( product( Z, 'additive_identity', X ) ) ]
% 0.76/1.47 )
% 0.76/1.47 .
% 0.76/1.47 clause( 1940, [ =( X, 'additive_identity' ), ~( sum( X, Y, Y ) ) ] )
% 0.76/1.47 .
% 0.76/1.47 clause( 2103, [ ~( sum( X, a, b ) ), ~( sum( X, Y, Y ) ) ] )
% 0.76/1.47 .
% 0.76/1.47 clause( 6262, [ ~( sum( X, a, b ) ) ] )
% 0.76/1.47 .
% 0.76/1.47 clause( 6282, [ ~( sum( a, X, b ) ) ] )
% 0.76/1.47 .
% 0.76/1.47 clause( 6493, [ ~( sum( a, X, Y ) ), ~( sum( Y, Z, b ) ) ] )
% 0.76/1.47 .
% 0.76/1.47 clause( 6578, [ ~( sum( 'additive_identity', X, b ) ) ] )
% 0.76/1.47 .
% 0.76/1.47 clause( 6594, [] )
% 0.76/1.47 .
% 0.76/1.47
% 0.76/1.47
% 0.76/1.47 % SZS output end Refutation
% 0.76/1.47 found a proof!
% 0.76/1.47
% 0.76/1.47 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.76/1.47
% 0.76/1.47 initialclauses(
% 0.76/1.47 [ clause( 6596, [ sum( 'additive_identity', X, X ) ] )
% 0.76/1.47 , clause( 6597, [ sum( X, 'additive_identity', X ) ] )
% 0.76/1.47 , clause( 6598, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.76/1.47 , clause( 6599, [ sum( X, Y, add( X, Y ) ) ] )
% 0.76/1.47 , clause( 6600, [ sum( 'additive_inverse'( X ), X, 'additive_identity' ) ]
% 0.76/1.47 )
% 0.76/1.47 , clause( 6601, [ sum( X, 'additive_inverse'( X ), 'additive_identity' ) ]
% 0.76/1.47 )
% 0.76/1.47 , clause( 6602, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T, W
% 0.76/1.47 ) ), sum( X, U, W ) ] )
% 0.76/1.47 , clause( 6603, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( X, U, W
% 0.76/1.47 ) ), sum( Z, T, W ) ] )
% 0.76/1.47 , clause( 6604, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 0.76/1.47 , clause( 6605, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.76/1.47 product( Z, T, W ) ), product( X, U, W ) ] )
% 0.76/1.47 , clause( 6606, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.76/1.47 product( X, U, W ) ), product( Z, T, W ) ] )
% 0.76/1.47 , clause( 6607, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 0.76/1.47 Y, T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 0.76/1.47 , clause( 6608, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 0.76/1.47 Y, T, W ) ), ~( sum( Z, U, V0 ) ), product( X, W, V0 ) ] )
% 0.76/1.47 , clause( 6609, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum(
% 0.76/1.47 X, T, W ) ), ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ] )
% 0.76/1.47 , clause( 6610, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum(
% 0.76/1.47 X, T, W ) ), ~( sum( Z, U, V0 ) ), product( W, Y, V0 ) ] )
% 0.76/1.47 , clause( 6611, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 0.76/1.47 , clause( 6612, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T
% 0.76/1.47 ) ] )
% 0.76/1.47 , clause( 6613, [ sum( a, c, d ) ] )
% 0.76/1.47 , clause( 6614, [ sum( b, c, d ) ] )
% 0.76/1.47 , clause( 6615, [ ~( =( a, b ) ) ] )
% 0.76/1.47 ] ).
% 0.76/1.47
% 0.76/1.47
% 0.76/1.47
% 0.76/1.47 subsumption(
% 0.76/1.47 clause( 0, [ sum( 'additive_identity', X, X ) ] )
% 0.76/1.47 , clause( 6596, [ sum( 'additive_identity', X, X ) ] )
% 0.76/1.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.47
% 0.76/1.47
% 0.76/1.47 subsumption(
% 0.76/1.47 clause( 1, [ sum( X, 'additive_identity', X ) ] )
% 0.76/1.47 , clause( 6597, [ sum( X, 'additive_identity', X ) ] )
% 0.76/1.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.47
% 0.76/1.47
% 0.76/1.47 subsumption(
% 0.76/1.47 clause( 2, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.76/1.47 , clause( 6598, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.76/1.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.47 )] ) ).
% 0.76/1.47
% 0.76/1.47
% 0.76/1.47 subsumption(
% 0.76/1.47 clause( 3, [ sum( X, Y, add( X, Y ) ) ] )
% 0.76/1.47 , clause( 6599, [ sum( X, Y, add( X, Y ) ) ] )
% 0.76/1.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.47 )] ) ).
% 0.76/1.47
% 0.76/1.47
% 0.76/1.47 subsumption(
% 0.76/1.47 clause( 4, [ sum( 'additive_inverse'( X ), X, 'additive_identity' ) ] )
% 0.76/1.47 , clause( 6600, [ sum( 'additive_inverse'( X ), X, 'additive_identity' ) ]
% 0.76/1.47 )
% 0.76/1.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.47
% 0.76/1.47
% 0.76/1.47 subsumption(
% 0.76/1.47 clause( 5, [ sum( X, 'additive_inverse'( X ), 'additive_identity' ) ] )
% 0.76/1.47 , clause( 6601, [ sum( X, 'additive_inverse'( X ), 'additive_identity' ) ]
% 0.76/1.47 )
% 0.76/1.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.47
% 0.76/1.47
% 0.76/1.47 subsumption(
% 0.76/1.47 clause( 6, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T, W ) )
% 0.76/1.47 , sum( X, U, W ) ] )
% 0.76/1.47 , clause( 6602, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T, W
% 0.76/1.47 ) ), sum( X, U, W ) ] )
% 0.76/1.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.76/1.47 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.76/1.47 , 2 ), ==>( 3, 3 )] ) ).
% 0.76/1.47
% 0.76/1.47
% 0.76/1.47 subsumption(
% 0.76/1.47 clause( 7, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( X, U, W ) )
% 0.76/1.47 , sum( Z, T, W ) ] )
% 0.76/1.47 , clause( 6603, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( X, U, W
% 0.76/1.47 ) ), sum( Z, T, W ) ] )
% 0.76/1.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.76/1.47 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.76/1.47 , 2 ), ==>( 3, 3 )] ) ).
% 0.76/1.47
% 0.76/1.47
% 0.76/1.47 subsumption(
% 0.76/1.47 clause( 8, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 0.76/1.47 , clause( 6604, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 0.76/1.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.47 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.76/1.47
% 0.76/1.47
% 0.76/1.47 subsumption(
% 0.76/1.47 clause( 11, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y,
% 0.76/1.47 T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 0.76/1.47 , clause( 6607, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 0.76/1.47 Y, T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 0.76/1.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.76/1.47 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1
% 0.76/1.47 , 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 0.76/1.47
% 0.76/1.47
% 0.76/1.47 subsumption(
% 0.76/1.47 clause( 15, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 0.76/1.47 , clause( 6611, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 0.76/1.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.76/1.47 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.76/1.47
% 0.76/1.47
% 0.76/1.47 subsumption(
% 0.76/1.47 clause( 16, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 0.76/1.47 )
% 0.76/1.47 , clause( 6612, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T
% 0.76/1.47 ) ] )
% 0.76/1.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.76/1.47 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.76/1.47
% 0.76/1.47
% 0.76/1.47 subsumption(
% 0.76/1.47 clause( 17, [ sum( a, c, d ) ] )
% 0.76/1.47 , clause( 6613, [ sum( a, c, d ) ] )
% 0.76/1.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.47
% 0.76/1.47
% 0.76/1.47 subsumption(
% 0.76/1.47 clause( 18, [ sum( b, c, d ) ] )
% 0.76/1.47 , clause( 6614, [ sum( b, c, d ) ] )
% 0.76/1.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.47
% 0.76/1.47
% 0.76/1.47 eqswap(
% 0.76/1.47 clause( 6815, [ ~( =( b, a ) ) ] )
% 0.76/1.47 , clause( 6615, [ ~( =( a, b ) ) ] )
% 0.76/1.47 , 0, substitution( 0, [] )).
% 0.76/1.47
% 0.76/1.47
% 0.76/1.47 subsumption(
% 0.76/1.47 clause( 19, [ ~( =( b, a ) ) ] )
% 0.76/1.47 , clause( 6815, [ ~( =( b, a ) ) ] )
% 0.76/1.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.47
% 0.76/1.47
% 0.76/1.47 factor(
% 0.76/1.47 clause( 6817, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, Y ) ), sum( Z, T, Z ) ]
% 0.76/1.47 )
% 0.76/1.47 , clause( 7, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( X, U, W )
% 0.76/1.47 ), sum( Z, T, W ) ] )
% 0.76/1.47 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 0.76/1.47 :=( U, Y ), :=( W, Z )] )).
% 0.76/1.47
% 0.76/1.47
% 0.76/1.47 subsumption(
% 0.76/1.47 clause( 22, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, Y ) ), sum( Z, T, Z ) ] )
% 0.76/1.47 , clause( 6817, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, Y ) ), sum( Z, T, Z )
% 0.76/1.47 ] )
% 0.76/1.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.76/1.47 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.76/1.47
% 0.76/1.47
% 0.76/1.47 resolution(
% 0.76/1.47 clause( 6821, [ ~( sum( X, Y, Z ) ), ~( sum( Z, T, U ) ), sum( X, add( Y, T
% 0.76/1.47 ), U ) ] )
% 0.76/1.47 , clause( 6, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T, W )
% 0.76/1.47 ), sum( X, U, W ) ] )
% 0.76/1.47 , 1, clause( 3, [ sum( X, Y, add( X, Y ) ) ] )
% 0.76/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 0.76/1.47 :=( U, add( Y, T ) ), :=( W, U )] ), substitution( 1, [ :=( X, Y ), :=( Y
% 0.76/1.47 , T )] )).
% 0.76/1.47
% 0.76/1.47
% 0.76/1.47 subsumption(
% 0.76/1.47 clause( 55, [ ~( sum( X, Y, Z ) ), ~( sum( Z, T, U ) ), sum( X, add( Y, T )
% 0.76/1.47 , U ) ] )
% 0.76/1.47 , clause( 6821, [ ~( sum( X, Y, Z ) ), ~( sum( Z, T, U ) ), sum( X, add( Y
% 0.76/1.47 , T ), U ) ] )
% 0.76/1.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.76/1.47 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] )
% 0.76/1.47 ).
% 0.76/1.47
% 0.76/1.47
% 0.76/1.47 resolution(
% 0.76/1.47 clause( 6826, [ ~( sum( X, a, Y ) ), ~( sum( Y, c, Z ) ), sum( X, d, Z ) ]
% 0.76/1.47 )
% 0.76/1.47 , clause( 6, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T, W )
% 0.76/1.47 ), sum( X, U, W ) ] )
% 0.76/1.47 , 1, clause( 17, [ sum( a, c, d ) ] )
% 0.76/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, a ), :=( Z, Y ), :=( T, c ),
% 0.76/1.47 :=( U, d ), :=( W, Z )] ), substitution( 1, [] )).
% 0.76/1.47
% 0.76/1.47
% 0.76/1.47 subsumption(
% 0.76/1.47 clause( 64, [ ~( sum( X, a, Y ) ), ~( sum( Y, c, Z ) ), sum( X, d, Z ) ] )
% 0.76/1.47 , clause( 6826, [ ~( sum( X, a, Y ) ), ~( sum( Y, c, Z ) ), sum( X, d, Z )
% 0.76/1.47 ] )
% 0.76/1.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.47 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.76/1.47
% 0.76/1.47
% 0.76/1.47 resolution(
% 0.76/1.47 clause( 6829, [ ~( product( X, Y, Z ) ), ~( product( X, 'additive_identity'
% 0.76/1.47 , T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 0.76/1.47 , clause( 11, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y
% 0.76/1.47 , T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 0.76/1.47 , 2, clause( 1, [ sum( X, 'additive_identity', X ) ] )
% 0.76/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T,
% 0.76/1.47 'additive_identity' ), :=( U, T ), :=( W, Y ), :=( V0, U )] ),
% 0.76/1.47 substitution( 1, [ :=( X, Y )] )).
% 0.76/1.47
% 0.76/1.47
% 0.76/1.47 subsumption(
% 0.76/1.47 clause( 218, [ ~( product( X, Y, Z ) ), ~( product( X, 'additive_identity'
% 0.76/1.47 , T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 0.76/1.47 , clause( 6829, [ ~( product( X, Y, Z ) ), ~( product( X,
% 0.76/1.47 'additive_identity', T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 0.76/1.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.76/1.47 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3
% 0.76/1.47 , 3 )] ) ).
% 0.76/1.47
% 0.76/1.47
% 0.76/1.47 factor(
% 0.76/1.47 clause( 6836, [ ~( product( X, 'additive_identity', Y ) ), ~( product( X,
% 0.76/1.47 'additive_identity', Z ) ), sum( Y, Z, Z ) ] )
% 0.76/1.47 , clause( 218, [ ~( product( X, Y, Z ) ), ~( product( X,
% 0.76/1.47 'additive_identity', T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 0.76/1.47 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, 'additive_identity' ), :=( Z
% 0.76/1.47 , Y ), :=( T, Z ), :=( U, Z )] )).
% 0.76/1.47
% 0.76/1.47
% 0.76/1.47 subsumption(
% 0.76/1.47 clause( 221, [ ~( product( X, 'additive_identity', Y ) ), ~( product( X,
% 0.76/1.47 'additive_identity', Z ) ), sum( Y, Z, Z ) ] )
% 0.76/1.47 , clause( 6836, [ ~( product( X, 'additive_identity', Y ) ), ~( product( X
% 0.76/1.47 , 'additive_identity', Z ) ), sum( Y, Z, Z ) ] )
% 0.76/1.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z,Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------