TSTP Solution File: RNG002-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : RNG002-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n028.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 1.25s 1.65s
% Output : Refutation 1.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : RNG002-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Mon May 30 13:56:04 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.25/1.65 *** allocated 10000 integers for termspace/termends
% 1.25/1.65 *** allocated 10000 integers for clauses
% 1.25/1.65 *** allocated 10000 integers for justifications
% 1.25/1.65 Bliksem 1.12
% 1.25/1.65
% 1.25/1.65
% 1.25/1.65 Automatic Strategy Selection
% 1.25/1.65
% 1.25/1.65 Clauses:
% 1.25/1.65 [
% 1.25/1.65 [ sum( 'additive_identity', X, X ) ],
% 1.25/1.65 [ sum( X, 'additive_identity', X ) ],
% 1.25/1.65 [ product( X, Y, multiply( X, Y ) ) ],
% 1.25/1.65 [ sum( X, Y, add( X, Y ) ) ],
% 1.25/1.65 [ sum( 'additive_inverse'( X ), X, 'additive_identity' ) ],
% 1.25/1.65 [ sum( X, 'additive_inverse'( X ), 'additive_identity' ) ],
% 1.25/1.65 [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T, W ) ), sum( X
% 1.25/1.65 , U, W ) ],
% 1.25/1.65 [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( X, U, W ) ), sum( Z
% 1.25/1.65 , T, W ) ],
% 1.25/1.65 [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ],
% 1.25/1.65 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( Z, T, W
% 1.25/1.65 ) ), product( X, U, W ) ],
% 1.25/1.65 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( X, U, W
% 1.25/1.65 ) ), product( Z, T, W ) ],
% 1.25/1.65 [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T, W ) )
% 1.25/1.65 , ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ],
% 1.25/1.65 [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T, W ) )
% 1.25/1.65 , ~( sum( Z, U, V0 ) ), product( X, W, V0 ) ],
% 1.25/1.65 [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X, T, W ) )
% 1.25/1.65 , ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ],
% 1.25/1.65 [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X, T, W ) )
% 1.25/1.65 , ~( sum( Z, U, V0 ) ), product( W, Y, V0 ) ],
% 1.25/1.65 [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ],
% 1.25/1.65 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 1.25/1.65 [ sum( a, b, d ) ],
% 1.25/1.65 [ sum( a, c, d ) ],
% 1.25/1.65 [ ~( =( b, c ) ) ]
% 1.25/1.65 ] .
% 1.25/1.65
% 1.25/1.65
% 1.25/1.65 percentage equality = 0.056604, percentage horn = 1.000000
% 1.25/1.65 This is a problem with some equality
% 1.25/1.65
% 1.25/1.65
% 1.25/1.65
% 1.25/1.65 Options Used:
% 1.25/1.65
% 1.25/1.65 useres = 1
% 1.25/1.65 useparamod = 1
% 1.25/1.65 useeqrefl = 1
% 1.25/1.65 useeqfact = 1
% 1.25/1.65 usefactor = 1
% 1.25/1.65 usesimpsplitting = 0
% 1.25/1.65 usesimpdemod = 5
% 1.25/1.65 usesimpres = 3
% 1.25/1.65
% 1.25/1.65 resimpinuse = 1000
% 1.25/1.65 resimpclauses = 20000
% 1.25/1.65 substype = eqrewr
% 1.25/1.65 backwardsubs = 1
% 1.25/1.65 selectoldest = 5
% 1.25/1.65
% 1.25/1.65 litorderings [0] = split
% 1.25/1.65 litorderings [1] = extend the termordering, first sorting on arguments
% 1.25/1.65
% 1.25/1.65 termordering = kbo
% 1.25/1.65
% 1.25/1.65 litapriori = 0
% 1.25/1.65 termapriori = 1
% 1.25/1.65 litaposteriori = 0
% 1.25/1.65 termaposteriori = 0
% 1.25/1.65 demodaposteriori = 0
% 1.25/1.65 ordereqreflfact = 0
% 1.25/1.65
% 1.25/1.65 litselect = negord
% 1.25/1.65
% 1.25/1.65 maxweight = 15
% 1.25/1.65 maxdepth = 30000
% 1.25/1.65 maxlength = 115
% 1.25/1.65 maxnrvars = 195
% 1.25/1.65 excuselevel = 1
% 1.25/1.65 increasemaxweight = 1
% 1.25/1.65
% 1.25/1.65 maxselected = 10000000
% 1.25/1.65 maxnrclauses = 10000000
% 1.25/1.65
% 1.25/1.65 showgenerated = 0
% 1.25/1.65 showkept = 0
% 1.25/1.65 showselected = 0
% 1.25/1.65 showdeleted = 0
% 1.25/1.65 showresimp = 1
% 1.25/1.65 showstatus = 2000
% 1.25/1.65
% 1.25/1.65 prologoutput = 1
% 1.25/1.65 nrgoals = 5000000
% 1.25/1.65 totalproof = 1
% 1.25/1.65
% 1.25/1.65 Symbols occurring in the translation:
% 1.25/1.65
% 1.25/1.65 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.25/1.65 . [1, 2] (w:1, o:30, a:1, s:1, b:0),
% 1.25/1.65 ! [4, 1] (w:0, o:24, a:1, s:1, b:0),
% 1.25/1.65 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.25/1.65 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.25/1.65 'additive_identity' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 1.25/1.65 sum [41, 3] (w:1, o:57, a:1, s:1, b:0),
% 1.25/1.65 multiply [43, 2] (w:1, o:55, a:1, s:1, b:0),
% 1.25/1.65 product [44, 3] (w:1, o:58, a:1, s:1, b:0),
% 1.25/1.65 add [45, 2] (w:1, o:56, a:1, s:1, b:0),
% 1.25/1.65 'additive_inverse' [46, 1] (w:1, o:29, a:1, s:1, b:0),
% 1.25/1.65 a [55, 0] (w:1, o:20, a:1, s:1, b:0),
% 1.25/1.65 b [56, 0] (w:1, o:21, a:1, s:1, b:0),
% 1.25/1.65 d [57, 0] (w:1, o:23, a:1, s:1, b:0),
% 1.25/1.65 c [58, 0] (w:1, o:22, a:1, s:1, b:0).
% 1.25/1.65
% 1.25/1.65
% 1.25/1.65 Starting Search:
% 1.25/1.65
% 1.25/1.65 Resimplifying inuse:
% 1.25/1.65 Done
% 1.25/1.65
% 1.25/1.65
% 1.25/1.65 Intermediate Status:
% 1.25/1.65 Generated: 6658
% 1.25/1.65 Kept: 2047
% 1.25/1.65 Inuse: 90
% 1.25/1.65 Deleted: 15
% 1.25/1.65 Deletedinuse: 8
% 1.25/1.65
% 1.25/1.65 Resimplifying inuse:
% 1.25/1.65 Done
% 1.25/1.65
% 1.25/1.65 Resimplifying inuse:
% 1.25/1.65 Done
% 1.25/1.65
% 1.25/1.65
% 1.25/1.65 Intermediate Status:
% 1.25/1.65 Generated: 17549
% 1.25/1.65 Kept: 4067
% 1.25/1.65 Inuse: 191
% 1.25/1.65 Deleted: 51
% 1.25/1.65 Deletedinuse: 30
% 1.25/1.65
% 1.25/1.65 Resimplifying inuse:
% 1.25/1.65 Done
% 1.25/1.65
% 1.25/1.65 Resimplifying inuse:
% 1.25/1.65 Done
% 1.25/1.65
% 1.25/1.65
% 1.25/1.65 Intermediate Status:
% 1.25/1.65 Generated: 23836
% 1.25/1.65 Kept: 6103
% 1.25/1.65 Inuse: 239
% 1.25/1.65 Deleted: 59
% 1.25/1.65 Deletedinuse: 37
% 1.25/1.65
% 1.25/1.65 Resimplifying inuse:
% 1.25/1.65 Done
% 1.25/1.65
% 1.25/1.65 Resimplifying inuse:
% 1.25/1.65 Done
% 1.25/1.65
% 1.25/1.65
% 1.25/1.65 Intermediate Status:
% 1.25/1.65 Generated: 31718
% 1.25/1.65 Kept: 8110
% 1.25/1.65 Inuse: 293
% 1.25/1.65 Deleted: 97
% 1.25/1.65 Deletedinuse: 74
% 1.25/1.65
% 1.25/1.65 Resimplifying inuse:
% 1.25/1.65 Done
% 1.25/1.65
% 1.25/1.65 Resimplifying inuse:
% 1.25/1.65 Done
% 1.25/1.65
% 1.25/1.65
% 1.25/1.65 Intermediate Status:
% 1.25/1.65 Generated: 38724
% 1.25/1.65 Kept: 10120
% 1.25/1.65 Inuse: 345
% 1.25/1.65 Deleted: 115
% 1.25/1.65 Deletedinuse: 87
% 1.25/1.65
% 1.25/1.65 Resimplifying inuse:
% 1.25/1.65 Done
% 1.25/1.65
% 1.25/1.65
% 1.25/1.65 Bliksems!, er is een bewijs:
% 1.25/1.65 % SZS status Unsatisfiable
% 1.25/1.65 % SZS output start Refutation
% 1.25/1.65
% 1.25/1.65 clause( 0, [ sum( 'additive_identity', X, X ) ] )
% 1.25/1.65 .
% 1.25/1.65 clause( 1, [ sum( X, 'additive_identity', X ) ] )
% 1.25/1.65 .
% 1.25/1.65 clause( 2, [ product( X, Y, multiply( X, Y ) ) ] )
% 1.25/1.65 .
% 1.25/1.65 clause( 3, [ sum( X, Y, add( X, Y ) ) ] )
% 1.25/1.65 .
% 1.25/1.65 clause( 4, [ sum( 'additive_inverse'( X ), X, 'additive_identity' ) ] )
% 1.25/1.65 .
% 1.25/1.65 clause( 5, [ sum( X, 'additive_inverse'( X ), 'additive_identity' ) ] )
% 1.25/1.65 .
% 1.25/1.65 clause( 6, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T, W ) )
% 1.25/1.65 , sum( X, U, W ) ] )
% 1.25/1.65 .
% 1.25/1.65 clause( 7, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( X, U, W ) )
% 1.25/1.65 , sum( Z, T, W ) ] )
% 1.25/1.65 .
% 1.25/1.65 clause( 8, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 1.25/1.65 .
% 1.25/1.65 clause( 11, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y,
% 1.25/1.65 T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 1.25/1.65 .
% 1.25/1.65 clause( 15, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 1.25/1.65 .
% 1.25/1.65 clause( 16, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 1.25/1.65 )
% 1.25/1.65 .
% 1.25/1.65 clause( 17, [ sum( a, b, d ) ] )
% 1.25/1.65 .
% 1.25/1.65 clause( 18, [ sum( a, c, d ) ] )
% 1.25/1.65 .
% 1.25/1.65 clause( 19, [ ~( =( c, b ) ) ] )
% 1.25/1.65 .
% 1.25/1.65 clause( 22, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, Y ) ), sum( Z, T, Z ) ] )
% 1.25/1.65 .
% 1.25/1.65 clause( 45, [ sum( b, a, d ) ] )
% 1.25/1.65 .
% 1.25/1.65 clause( 46, [ sum( c, a, d ) ] )
% 1.25/1.65 .
% 1.25/1.65 clause( 55, [ ~( sum( X, Y, Z ) ), ~( sum( Z, T, U ) ), sum( X, add( Y, T )
% 1.25/1.65 , U ) ] )
% 1.25/1.65 .
% 1.25/1.65 clause( 84, [ ~( sum( X, Y, b ) ), ~( sum( Y, a, Z ) ), sum( X, Z, d ) ] )
% 1.25/1.65 .
% 1.25/1.65 clause( 218, [ ~( product( X, Y, Z ) ), ~( product( X, 'additive_identity'
% 1.25/1.65 , T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 1.25/1.65 .
% 1.25/1.65 clause( 221, [ ~( product( X, 'additive_identity', Y ) ), ~( product( X,
% 1.25/1.65 'additive_identity', Z ) ), sum( Y, Z, Z ) ] )
% 1.25/1.65 .
% 1.25/1.65 clause( 222, [ ~( product( X, 'additive_identity', Y ) ), sum( Y, Y, Y ) ]
% 1.25/1.65 )
% 1.25/1.65 .
% 1.25/1.65 clause( 247, [ sum( multiply( X, 'additive_identity' ), multiply( X,
% 1.25/1.65 'additive_identity' ), multiply( X, 'additive_identity' ) ) ] )
% 1.25/1.65 .
% 1.25/1.65 clause( 436, [ ~( sum( 'additive_identity', X, Y ) ), =( X, Y ) ] )
% 1.25/1.65 .
% 1.25/1.65 clause( 589, [ ~( =( X, b ) ), ~( sum( 'additive_identity', c, X ) ) ] )
% 1.25/1.65 .
% 1.25/1.65 clause( 592, [ ~( sum( 'additive_identity', c, b ) ) ] )
% 1.25/1.65 .
% 1.25/1.65 clause( 1041, [ ~( sum( X, Y, X ) ), sum( 'additive_identity', Y,
% 1.25/1.65 'additive_identity' ) ] )
% 1.25/1.65 .
% 1.25/1.65 clause( 1601, [ ~( sum( X, Y, X ) ), =( Y, 'additive_identity' ) ] )
% 1.25/1.65 .
% 1.25/1.65 clause( 1610, [ sum( 'additive_identity', multiply( X, 'additive_identity'
% 1.25/1.65 ), 'additive_identity' ) ] )
% 1.25/1.65 .
% 1.25/1.65 clause( 1669, [ =( multiply( X, 'additive_identity' ), 'additive_identity'
% 1.25/1.65 ) ] )
% 1.25/1.65 .
% 1.25/1.65 clause( 1694, [ product( X, 'additive_identity', 'additive_identity' ) ] )
% 1.25/1.65 .
% 1.25/1.65 clause( 1696, [ ~( product( X, 'additive_identity', Y ) ), =(
% 1.25/1.65 'additive_identity', Y ) ] )
% 1.25/1.65 .
% 1.25/1.65 clause( 1815, [ sum( X, Y, Y ), ~( product( Z, 'additive_identity', X ) ) ]
% 1.25/1.65 )
% 1.25/1.65 .
% 1.25/1.65 clause( 1940, [ =( X, 'additive_identity' ), ~( sum( X, Y, Y ) ) ] )
% 1.25/1.65 .
% 1.25/1.65 clause( 2113, [ ~( sum( X, c, b ) ), ~( sum( X, Y, Y ) ) ] )
% 1.25/1.65 .
% 1.25/1.65 clause( 9423, [ ~( sum( X, c, b ) ) ] )
% 1.25/1.65 .
% 1.25/1.65 clause( 9435, [ ~( sum( c, X, b ) ) ] )
% 1.25/1.65 .
% 1.25/1.65 clause( 9451, [ ~( sum( c, X, Y ) ), ~( sum( Y, Z, b ) ) ] )
% 1.25/1.65 .
% 1.25/1.65 clause( 9921, [ ~( sum( 'additive_identity', X, b ) ) ] )
% 1.25/1.65 .
% 1.25/1.65 clause( 10309, [] )
% 1.25/1.65 .
% 1.25/1.65
% 1.25/1.65
% 1.25/1.65 % SZS output end Refutation
% 1.25/1.65 found a proof!
% 1.25/1.65
% 1.25/1.65 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.25/1.65
% 1.25/1.65 initialclauses(
% 1.25/1.65 [ clause( 10311, [ sum( 'additive_identity', X, X ) ] )
% 1.25/1.65 , clause( 10312, [ sum( X, 'additive_identity', X ) ] )
% 1.25/1.65 , clause( 10313, [ product( X, Y, multiply( X, Y ) ) ] )
% 1.25/1.65 , clause( 10314, [ sum( X, Y, add( X, Y ) ) ] )
% 1.25/1.65 , clause( 10315, [ sum( 'additive_inverse'( X ), X, 'additive_identity' ) ]
% 1.25/1.65 )
% 1.25/1.65 , clause( 10316, [ sum( X, 'additive_inverse'( X ), 'additive_identity' ) ]
% 1.25/1.65 )
% 1.25/1.65 , clause( 10317, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T,
% 1.25/1.65 W ) ), sum( X, U, W ) ] )
% 1.25/1.65 , clause( 10318, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( X, U,
% 1.25/1.65 W ) ), sum( Z, T, W ) ] )
% 1.25/1.65 , clause( 10319, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 1.25/1.65 , clause( 10320, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 1.25/1.65 product( Z, T, W ) ), product( X, U, W ) ] )
% 1.25/1.65 , clause( 10321, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 1.25/1.65 product( X, U, W ) ), product( Z, T, W ) ] )
% 1.25/1.65 , clause( 10322, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 1.25/1.65 Y, T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 1.25/1.65 , clause( 10323, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 1.25/1.65 Y, T, W ) ), ~( sum( Z, U, V0 ) ), product( X, W, V0 ) ] )
% 1.25/1.65 , clause( 10324, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum(
% 1.25/1.65 X, T, W ) ), ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ] )
% 1.25/1.65 , clause( 10325, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum(
% 1.25/1.65 X, T, W ) ), ~( sum( Z, U, V0 ) ), product( W, Y, V0 ) ] )
% 1.25/1.65 , clause( 10326, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 1.25/1.65 , clause( 10327, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z,
% 1.25/1.65 T ) ] )
% 1.25/1.65 , clause( 10328, [ sum( a, b, d ) ] )
% 1.25/1.65 , clause( 10329, [ sum( a, c, d ) ] )
% 1.25/1.65 , clause( 10330, [ ~( =( b, c ) ) ] )
% 1.25/1.65 ] ).
% 1.25/1.65
% 1.25/1.65
% 1.25/1.65
% 1.25/1.65 subsumption(
% 1.25/1.65 clause( 0, [ sum( 'additive_identity', X, X ) ] )
% 1.25/1.65 , clause( 10311, [ sum( 'additive_identity', X, X ) ] )
% 1.25/1.65 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.25/1.65
% 1.25/1.65
% 1.25/1.65 subsumption(
% 1.25/1.65 clause( 1, [ sum( X, 'additive_identity', X ) ] )
% 1.25/1.65 , clause( 10312, [ sum( X, 'additive_identity', X ) ] )
% 1.25/1.65 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.25/1.65
% 1.25/1.65
% 1.25/1.65 subsumption(
% 1.25/1.65 clause( 2, [ product( X, Y, multiply( X, Y ) ) ] )
% 1.25/1.65 , clause( 10313, [ product( X, Y, multiply( X, Y ) ) ] )
% 1.25/1.65 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.25/1.65 )] ) ).
% 1.25/1.65
% 1.25/1.65
% 1.25/1.65 subsumption(
% 1.25/1.65 clause( 3, [ sum( X, Y, add( X, Y ) ) ] )
% 1.25/1.65 , clause( 10314, [ sum( X, Y, add( X, Y ) ) ] )
% 1.25/1.65 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.25/1.65 )] ) ).
% 1.25/1.65
% 1.25/1.65
% 1.25/1.65 subsumption(
% 1.25/1.65 clause( 4, [ sum( 'additive_inverse'( X ), X, 'additive_identity' ) ] )
% 1.25/1.65 , clause( 10315, [ sum( 'additive_inverse'( X ), X, 'additive_identity' ) ]
% 1.25/1.65 )
% 1.25/1.65 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.25/1.65
% 1.25/1.65
% 1.25/1.65 subsumption(
% 1.25/1.65 clause( 5, [ sum( X, 'additive_inverse'( X ), 'additive_identity' ) ] )
% 1.25/1.65 , clause( 10316, [ sum( X, 'additive_inverse'( X ), 'additive_identity' ) ]
% 1.25/1.65 )
% 1.25/1.65 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.25/1.65
% 1.25/1.65
% 1.25/1.65 subsumption(
% 1.25/1.65 clause( 6, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T, W ) )
% 1.25/1.65 , sum( X, U, W ) ] )
% 1.25/1.65 , clause( 10317, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T,
% 1.25/1.65 W ) ), sum( X, U, W ) ] )
% 1.25/1.65 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.25/1.65 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 1.25/1.65 , 2 ), ==>( 3, 3 )] ) ).
% 1.25/1.65
% 1.25/1.65
% 1.25/1.65 subsumption(
% 1.25/1.65 clause( 7, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( X, U, W ) )
% 1.25/1.65 , sum( Z, T, W ) ] )
% 1.25/1.65 , clause( 10318, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( X, U,
% 1.25/1.65 W ) ), sum( Z, T, W ) ] )
% 1.25/1.65 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.25/1.65 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 1.25/1.65 , 2 ), ==>( 3, 3 )] ) ).
% 1.25/1.65
% 1.25/1.65
% 1.25/1.65 subsumption(
% 1.25/1.65 clause( 8, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 1.25/1.65 , clause( 10319, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 1.25/1.65 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.25/1.65 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 1.25/1.65
% 1.25/1.65
% 1.25/1.65 subsumption(
% 1.25/1.65 clause( 11, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y,
% 1.25/1.65 T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 1.25/1.65 , clause( 10322, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 1.25/1.65 Y, T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 1.25/1.65 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.25/1.65 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1
% 1.25/1.65 , 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 1.25/1.65
% 1.25/1.65
% 1.25/1.65 subsumption(
% 1.25/1.65 clause( 15, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 1.25/1.65 , clause( 10326, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 1.25/1.65 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.25/1.65 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 1.25/1.65
% 1.25/1.65
% 1.25/1.65 subsumption(
% 1.25/1.65 clause( 16, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 1.25/1.65 )
% 1.25/1.65 , clause( 10327, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z,
% 1.25/1.65 T ) ] )
% 1.25/1.65 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.25/1.65 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 1.25/1.65
% 1.25/1.65
% 1.25/1.65 subsumption(
% 1.25/1.65 clause( 17, [ sum( a, b, d ) ] )
% 1.25/1.65 , clause( 10328, [ sum( a, b, d ) ] )
% 1.25/1.65 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.25/1.65
% 1.25/1.65
% 1.25/1.65 subsumption(
% 1.25/1.65 clause( 18, [ sum( a, c, d ) ] )
% 1.25/1.65 , clause( 10329, [ sum( a, c, d ) ] )
% 1.25/1.65 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.25/1.65
% 1.25/1.65
% 1.25/1.65 eqswap(
% 1.25/1.65 clause( 10530, [ ~( =( c, b ) ) ] )
% 1.25/1.65 , clause( 10330, [ ~( =( b, c ) ) ] )
% 1.25/1.65 , 0, substitution( 0, [] )).
% 1.25/1.65
% 1.25/1.65
% 1.25/1.65 subsumption(
% 1.25/1.65 clause( 19, [ ~( =( c, b ) ) ] )
% 1.25/1.65 , clause( 10530, [ ~( =( c, b ) ) ] )
% 1.25/1.65 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.25/1.65
% 1.25/1.65
% 1.25/1.65 factor(
% 1.25/1.65 clause( 10532, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, Y ) ), sum( Z, T, Z ) ]
% 1.25/1.65 )
% 1.25/1.65 , clause( 7, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( X, U, W )
% 1.25/1.65 ), sum( Z, T, W ) ] )
% 1.25/1.65 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 1.25/1.65 :=( U, Y ), :=( W, Z )] )).
% 1.25/1.65
% 1.25/1.65
% 1.25/1.65 subsumption(
% 1.25/1.65 clause( 22, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, Y ) ), sum( Z, T, Z ) ] )
% 1.25/1.65 , clause( 10532, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, Y ) ), sum( Z, T, Z )
% 1.25/1.65 ] )
% 1.25/1.65 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.25/1.65 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 1.25/1.65
% 1.25/1.65
% 1.25/1.65 resolution(
% 1.25/1.65 clause( 10535, [ sum( b, a, d ) ] )
% 1.25/1.65 , clause( 8, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 1.25/1.65 , 0, clause( 17, [ sum( a, b, d ) ] )
% 1.25/1.65 , 0, substitution( 0, [ :=( X, a ), :=( Y, b ), :=( Z, d )] ),
% 1.25/1.65 substitution( 1, [] )).
% 1.25/1.65
% 1.25/1.65
% 1.25/1.65 subsumption(
% 1.25/1.65 clause( 45, [ sum( b, a, d ) ] )
% 1.25/1.65 , clause( 10535, [ sum( b, a, d ) ] )
% 1.25/1.65 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.25/1.65
% 1.25/1.65
% 1.25/1.65 resolution(
% 1.25/1.65 clause( 10536, [ sum( c, a, d ) ] )
% 1.25/1.65 , clause( 8, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 1.25/1.65 , 0, clause( 18, [ sum( a, c, d ) ] )
% 1.25/1.65 , 0, substitution( 0, [ :=( X, a ), :=( Y, c ), :=( Z, d )] ),
% 1.25/1.65 substitution( 1, [] )).
% 1.25/1.65
% 1.25/1.65
% 1.25/1.65 subsumption(
% 1.25/1.65 clause( 46, [ sum( c, a, d ) ] )
% 1.25/1.65 , clause( 10536, [ sum( c, a, d ) ] )
% 1.25/1.65 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.25/1.65
% 1.25/1.65
% 1.25/1.65 resolution(
% 1.25/1.65 clause( 10538, [ ~( sum( X, Y, Z ) ), ~( sum( Z, T, U ) ), sum( X, add( Y,
% 1.25/1.65 T ), U ) ] )
% 1.25/1.65 , clause( 6, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T, W )
% 1.25/1.65 ), sum( X, U, W ) ] )
% 1.25/1.65 , 1, clause( 3, [ sum( X, Y, add( X, Y ) ) ] )
% 1.25/1.65 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 1.25/1.65 :=( U, add( Y, T ) ), :=( W, U )] ), substitution( 1, [ :=( X, Y ), :=( Y
% 1.25/1.65 , T )] )).
% 1.25/1.65
% 1.25/1.65
% 1.25/1.65 subsumption(
% 1.25/1.65 clause( 55, [ ~( sum( X, Y, Z ) ), ~( sum( Z, T, U ) ), sum( X, add( Y, T )
% 1.25/1.65 , U ) ] )
% 1.25/1.65 , clause( 10538, [ ~( sum( X, Y, Z ) ), ~( sum( Z, T, U ) ), sum( X, add( Y
% 1.25/1.65 , T ), U ) ] )
% 1.25/1.65 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.25/1.65 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] )
% 1.25/1.65 ).
% 1.25/1.65
% 1.25/1.65
% 1.25/1.65 resolution(
% 1.25/1.65 clause( 10544, [ ~( sum( X, Y, b ) ), ~( sum( Y, a, Z ) ), sum( X, Z, d ) ]
% 1.25/1.65 )
% 1.25/1.65 , clause( 6, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T, W )
% 1.25/1.65 ), sum( X, U, W ) ] )
% 1.25/1.65 , 2, clause( 45, [ sum( b, a, d ) ] )
% 1.25/1.65 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, b ), :=( T, a ),
% 1.25/1.65 :=( U, Z ), :=( W, d )] ), substitution( 1, [] )).
% 1.25/1.65
% 1.25/1.65
% 1.25/1.65 subsumption(
% 1.25/1.65 clause( 84, [ ~( sum( X, Y, b ) ), ~( sum( Y, a, Z ) ), sum( X, Z, d ) ] )
% 1.25/1.65 , clause( 10544, [ ~( sum( X, Y, b ) ), ~( sum( Y, a, Z ) ), sum( X, Z, d )
% 1.25/1.65 ] )
% 1.25/1.65 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.25/1.65 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 1.25/1.65
% 1.25/1.65
% 1.25/1.65 resolution(
% 1.25/1.65 clause( 10546, [ ~( product( X, Y, Z ) ), ~( product( X,
% 1.25/1.65 'additive_identity', T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 1.25/1.65 , clause( 11, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y
% 1.25/1.65 , T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 1.25/1.65 , 2, clause( 1, [ sum( X, 'additive_identity', X ) ] )
% 1.25/1.65 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T,
% 1.25/1.65 'additive_identity' ), :Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------