TSTP Solution File: RNG041-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : RNG041-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n023.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 20:16:11 EDT 2022
% Result : Unsatisfiable 8.17s 8.59s
% Output : Refutation 8.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG041-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Mon May 30 05:01:12 EDT 2022
% 0.13/0.34 % CPUTime :
% 8.17/8.59 *** allocated 10000 integers for termspace/termends
% 8.17/8.59 *** allocated 10000 integers for clauses
% 8.17/8.59 *** allocated 10000 integers for justifications
% 8.17/8.59 Bliksem 1.12
% 8.17/8.59
% 8.17/8.59
% 8.17/8.59 Automatic Strategy Selection
% 8.17/8.59
% 8.17/8.59 Clauses:
% 8.17/8.59 [
% 8.17/8.59 [ sum( 'additive_identity', X, X ) ],
% 8.17/8.59 [ sum( X, 'additive_identity', X ) ],
% 8.17/8.59 [ product( X, Y, multiply( X, Y ) ) ],
% 8.17/8.59 [ sum( X, Y, add( X, Y ) ) ],
% 8.17/8.59 [ sum( 'additive_inverse'( X ), X, 'additive_identity' ) ],
% 8.17/8.59 [ sum( X, 'additive_inverse'( X ), 'additive_identity' ) ],
% 8.17/8.59 [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T, W ) ), sum( X
% 8.17/8.59 , U, W ) ],
% 8.17/8.59 [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( X, U, W ) ), sum( Z
% 8.17/8.59 , T, W ) ],
% 8.17/8.59 [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ],
% 8.17/8.59 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( Z, T, W
% 8.17/8.59 ) ), product( X, U, W ) ],
% 8.17/8.59 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( X, U, W
% 8.17/8.59 ) ), product( Z, T, W ) ],
% 8.17/8.59 [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T, W ) )
% 8.17/8.59 , ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ],
% 8.17/8.59 [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T, W ) )
% 8.17/8.59 , ~( sum( Z, U, V0 ) ), product( X, W, V0 ) ],
% 8.17/8.59 [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X, T, W ) )
% 8.17/8.59 , ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ],
% 8.17/8.59 [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X, T, W ) )
% 8.17/8.59 , ~( sum( Z, U, V0 ) ), product( W, Y, V0 ) ],
% 8.17/8.59 [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ],
% 8.17/8.59 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 8.17/8.59 [ product( 'additive_identity', X, 'additive_identity' ) ],
% 8.17/8.59 [ product( X, 'additive_identity', 'additive_identity' ) ],
% 8.17/8.59 [ product( X, 'multiplicative_identity', X ) ],
% 8.17/8.59 [ product( 'multiplicative_identity', X, X ) ],
% 8.17/8.59 [ product( X, h( X ), 'multiplicative_identity' ), =( X,
% 8.17/8.59 'additive_identity' ) ],
% 8.17/8.59 [ product( h( X ), X, 'multiplicative_identity' ), =( X,
% 8.17/8.59 'additive_identity' ) ],
% 8.17/8.59 [ product( a, b, 'additive_identity' ) ],
% 8.17/8.59 [ ~( =( a, 'additive_identity' ) ) ],
% 8.17/8.59 [ ~( =( b, 'additive_identity' ) ) ]
% 8.17/8.59 ] .
% 8.17/8.59
% 8.17/8.59
% 8.17/8.59 percentage equality = 0.098361, percentage horn = 0.923077
% 8.17/8.59 This is a problem with some equality
% 8.17/8.59
% 8.17/8.59
% 8.17/8.59
% 8.17/8.59 Options Used:
% 8.17/8.59
% 8.17/8.59 useres = 1
% 8.17/8.59 useparamod = 1
% 8.17/8.59 useeqrefl = 1
% 8.17/8.59 useeqfact = 1
% 8.17/8.59 usefactor = 1
% 8.17/8.59 usesimpsplitting = 0
% 8.17/8.59 usesimpdemod = 5
% 8.17/8.59 usesimpres = 3
% 8.17/8.59
% 8.17/8.59 resimpinuse = 1000
% 8.17/8.59 resimpclauses = 20000
% 8.17/8.59 substype = eqrewr
% 8.17/8.59 backwardsubs = 1
% 8.17/8.59 selectoldest = 5
% 8.17/8.59
% 8.17/8.59 litorderings [0] = split
% 8.17/8.59 litorderings [1] = extend the termordering, first sorting on arguments
% 8.17/8.59
% 8.17/8.59 termordering = kbo
% 8.17/8.59
% 8.17/8.59 litapriori = 0
% 8.17/8.59 termapriori = 1
% 8.17/8.59 litaposteriori = 0
% 8.17/8.59 termaposteriori = 0
% 8.17/8.59 demodaposteriori = 0
% 8.17/8.59 ordereqreflfact = 0
% 8.17/8.59
% 8.17/8.59 litselect = negord
% 8.17/8.59
% 8.17/8.59 maxweight = 15
% 8.17/8.59 maxdepth = 30000
% 8.17/8.59 maxlength = 115
% 8.17/8.59 maxnrvars = 195
% 8.17/8.59 excuselevel = 1
% 8.17/8.59 increasemaxweight = 1
% 8.17/8.59
% 8.17/8.59 maxselected = 10000000
% 8.17/8.59 maxnrclauses = 10000000
% 8.17/8.59
% 8.17/8.59 showgenerated = 0
% 8.17/8.59 showkept = 0
% 8.17/8.59 showselected = 0
% 8.17/8.59 showdeleted = 0
% 8.17/8.59 showresimp = 1
% 8.17/8.59 showstatus = 2000
% 8.17/8.59
% 8.17/8.59 prologoutput = 1
% 8.17/8.59 nrgoals = 5000000
% 8.17/8.59 totalproof = 1
% 8.17/8.59
% 8.17/8.59 Symbols occurring in the translation:
% 8.17/8.59
% 8.17/8.59 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 8.17/8.59 . [1, 2] (w:1, o:31, a:1, s:1, b:0),
% 8.17/8.59 ! [4, 1] (w:0, o:24, a:1, s:1, b:0),
% 8.17/8.59 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 8.17/8.59 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 8.17/8.59 'additive_identity' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 8.17/8.59 sum [41, 3] (w:1, o:58, a:1, s:1, b:0),
% 8.17/8.59 multiply [43, 2] (w:1, o:56, a:1, s:1, b:0),
% 8.17/8.59 product [44, 3] (w:1, o:59, a:1, s:1, b:0),
% 8.17/8.59 add [45, 2] (w:1, o:57, a:1, s:1, b:0),
% 8.17/8.59 'additive_inverse' [46, 1] (w:1, o:29, a:1, s:1, b:0),
% 8.17/8.59 'multiplicative_identity' [56, 0] (w:1, o:21, a:1, s:1, b:0),
% 8.17/8.59 h [57, 1] (w:1, o:30, a:1, s:1, b:0),
% 8.17/8.59 a [58, 0] (w:1, o:22, a:1, s:1, b:0),
% 8.17/8.59 b [59, 0] (w:1, o:23, a:1, s:1, b:0).
% 8.17/8.59
% 8.17/8.59
% 8.17/8.59 Starting Search:
% 8.17/8.59
% 8.17/8.59 Resimplifying inuse:
% 8.17/8.59 Done
% 8.17/8.59
% 8.17/8.59
% 8.17/8.59 Intermediate Status:
% 8.17/8.59 Generated: 7097
% 8.17/8.59 Kept: 2016
% 8.17/8.59 Inuse: 96
% 8.17/8.59 Deleted: 13
% 8.17/8.59 Deletedinuse: 7
% 8.17/8.59
% 8.17/8.59 Resimplifying inuse:
% 8.17/8.59 Done
% 8.17/8.59
% 8.17/8.59 Resimplifying inuse:
% 8.17/8.59 Done
% 8.17/8.59
% 8.17/8.59
% 8.17/8.59 Intermediate Status:
% 8.17/8.59 Generated: 15166
% 8.17/8.59 Kept: 4049
% 8.17/8.59 Inuse: 163
% 8.17/8.59 Deleted: 21
% 8.17/8.59 Deletedinuse: 13
% 8.17/8.59
% 8.17/8.59 Resimplifying inuse:
% 8.17/8.59 Done
% 8.17/8.59
% 8.17/8.59 Resimplifying inuse:
% 8.17/8.59 Done
% 8.17/8.59
% 8.17/8.59
% 8.17/8.59 Intermediate Status:
% 8.17/8.59 Generated: 24817
% 8.17/8.59 Kept: 6068
% 8.17/8.59 Inuse: 231
% 8.17/8.59 Deleted: 28
% 8.17/8.59 Deletedinuse: 18
% 8.17/8.59
% 8.17/8.59 Resimplifying inuse:
% 8.17/8.59 Done
% 8.17/8.59
% 8.17/8.59 Resimplifying inuse:
% 8.17/8.59 Done
% 8.17/8.59
% 8.17/8.59
% 8.17/8.59 Intermediate Status:
% 8.17/8.59 Generated: 31545
% 8.17/8.59 Kept: 8089
% 8.17/8.59 Inuse: 277
% 8.17/8.59 Deleted: 40
% 8.17/8.59 Deletedinuse: 30
% 8.17/8.59
% 8.17/8.59 Resimplifying inuse:
% 8.17/8.59 Done
% 8.17/8.59
% 8.17/8.59 Resimplifying inuse:
% 8.17/8.59 Done
% 8.17/8.59
% 8.17/8.59
% 8.17/8.59 Intermediate Status:
% 8.17/8.59 Generated: 40455
% 8.17/8.59 Kept: 10111
% 8.17/8.59 Inuse: 323
% 8.17/8.59 Deleted: 44
% 8.17/8.59 Deletedinuse: 33
% 8.17/8.59
% 8.17/8.59 Resimplifying inuse:
% 8.17/8.59 Done
% 8.17/8.59
% 8.17/8.59 Resimplifying inuse:
% 8.17/8.59 Done
% 8.17/8.59
% 8.17/8.59
% 8.17/8.59 Intermediate Status:
% 8.17/8.59 Generated: 52522
% 8.17/8.59 Kept: 12138
% 8.17/8.59 Inuse: 378
% 8.17/8.59 Deleted: 73
% 8.17/8.59 Deletedinuse: 58
% 8.17/8.59
% 8.17/8.59 Resimplifying inuse:
% 8.17/8.59 Done
% 8.17/8.59
% 8.17/8.59 Resimplifying inuse:
% 8.17/8.59 Done
% 8.17/8.59
% 8.17/8.59
% 8.17/8.59 Intermediate Status:
% 8.17/8.59 Generated: 67918
% 8.17/8.59 Kept: 14149
% 8.17/8.59 Inuse: 440
% 8.17/8.59 Deleted: 89
% 8.17/8.59 Deletedinuse: 69
% 8.17/8.59
% 8.17/8.59 Resimplifying inuse:
% 8.17/8.59 Done
% 8.17/8.59
% 8.17/8.59 Resimplifying inuse:
% 8.17/8.59 Done
% 8.17/8.59
% 8.17/8.59
% 8.17/8.59 Intermediate Status:
% 8.17/8.59 Generated: 82179
% 8.17/8.59 Kept: 16158
% 8.17/8.59 Inuse: 481
% 8.17/8.59 Deleted: 106
% 8.17/8.59 Deletedinuse: 69
% 8.17/8.59
% 8.17/8.59 Resimplifying inuse:
% 8.17/8.59 Done
% 8.17/8.59
% 8.17/8.59 Resimplifying inuse:
% 8.17/8.59 Done
% 8.17/8.59
% 8.17/8.59
% 8.17/8.59 Intermediate Status:
% 8.17/8.59 Generated: 89755
% 8.17/8.59 Kept: 18171
% 8.17/8.59 Inuse: 507
% 8.17/8.59 Deleted: 113
% 8.17/8.59 Deletedinuse: 69
% 8.17/8.59
% 8.17/8.59 Resimplifying inuse:
% 8.17/8.59 Done
% 8.17/8.59
% 8.17/8.59 Resimplifying inuse:
% 8.17/8.59 Done
% 8.17/8.59
% 8.17/8.59 Resimplifying clauses:
% 8.17/8.59 Done
% 8.17/8.59
% 8.17/8.59
% 8.17/8.59 Intermediate Status:
% 8.17/8.59 Generated: 101860
% 8.17/8.59 Kept: 20231
% 8.17/8.59 Inuse: 542
% 8.17/8.59 Deleted: 3398
% 8.17/8.59 Deletedinuse: 69
% 8.17/8.59
% 8.17/8.59 Resimplifying inuse:
% 8.17/8.59 Done
% 8.17/8.59
% 8.17/8.59 Resimplifying inuse:
% 8.17/8.59 Done
% 8.17/8.59
% 8.17/8.59
% 8.17/8.59 Intermediate Status:
% 8.17/8.59 Generated: 121077
% 8.17/8.59 Kept: 22255
% 8.17/8.59 Inuse: 591
% 8.17/8.59 Deleted: 3400
% 8.17/8.59 Deletedinuse: 70
% 8.17/8.59
% 8.17/8.59 Resimplifying inuse:
% 8.17/8.59 Done
% 8.17/8.59
% 8.17/8.59 Resimplifying inuse:
% 8.17/8.59 Done
% 8.17/8.59
% 8.17/8.59
% 8.17/8.59 Intermediate Status:
% 8.17/8.59 Generated: 132519
% 8.17/8.59 Kept: 24282
% 8.17/8.59 Inuse: 634
% 8.17/8.59 Deleted: 3400
% 8.17/8.59 Deletedinuse: 70
% 8.17/8.59
% 8.17/8.59 Resimplifying inuse:
% 8.17/8.59 Done
% 8.17/8.59
% 8.17/8.59
% 8.17/8.59 Bliksems!, er is een bewijs:
% 8.17/8.59 % SZS status Unsatisfiable
% 8.17/8.59 % SZS output start Refutation
% 8.17/8.59
% 8.17/8.59 clause( 0, [ sum( 'additive_identity', X, X ) ] )
% 8.17/8.59 .
% 8.17/8.59 clause( 1, [ sum( X, 'additive_identity', X ) ] )
% 8.17/8.59 .
% 8.17/8.59 clause( 9, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 8.17/8.59 Z, T, W ) ), product( X, U, W ) ] )
% 8.17/8.59 .
% 8.17/8.59 clause( 15, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 8.17/8.59 .
% 8.17/8.59 clause( 16, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 8.17/8.59 )
% 8.17/8.59 .
% 8.17/8.59 clause( 17, [ product( 'additive_identity', X, 'additive_identity' ) ] )
% 8.17/8.59 .
% 8.17/8.59 clause( 18, [ product( X, 'additive_identity', 'additive_identity' ) ] )
% 8.17/8.59 .
% 8.17/8.59 clause( 20, [ product( 'multiplicative_identity', X, X ) ] )
% 8.17/8.59 .
% 8.17/8.59 clause( 22, [ product( h( X ), X, 'multiplicative_identity' ), =( X,
% 8.17/8.59 'additive_identity' ) ] )
% 8.17/8.59 .
% 8.17/8.59 clause( 23, [ product( a, b, 'additive_identity' ) ] )
% 8.17/8.59 .
% 8.17/8.59 clause( 24, [ ~( =( a, 'additive_identity' ) ) ] )
% 8.17/8.59 .
% 8.17/8.59 clause( 25, [ ~( =( b, 'additive_identity' ) ) ] )
% 8.17/8.59 .
% 8.17/8.59 clause( 98, [ product( h( a ), a, 'multiplicative_identity' ) ] )
% 8.17/8.59 .
% 8.17/8.59 clause( 195, [ ~( product( a, X, Y ) ), ~( product(
% 8.17/8.59 'multiplicative_identity', X, Z ) ), product( h( a ), Y, Z ) ] )
% 8.17/8.59 .
% 8.17/8.59 clause( 636, [ ~( sum( X, 'additive_identity', Y ) ), =( X, Y ) ] )
% 8.17/8.59 .
% 8.17/8.59 clause( 826, [ ~( =( X, 'additive_identity' ) ), ~( sum( X,
% 8.17/8.59 'additive_identity', b ) ) ] )
% 8.17/8.59 .
% 8.17/8.59 clause( 827, [ ~( sum( 'additive_identity', 'additive_identity', b ) ) ] )
% 8.17/8.59 .
% 8.17/8.59 clause( 893, [ ~( product( 'additive_identity', X, Y ) ), =(
% 8.17/8.59 'additive_identity', Y ) ] )
% 8.17/8.59 .
% 8.17/8.59 clause( 894, [ ~( product( X, 'additive_identity', Y ) ), =(
% 8.17/8.59 'additive_identity', Y ) ] )
% 8.17/8.59 .
% 8.17/8.59 clause( 896, [ ~( product( 'multiplicative_identity', X, Y ) ), =( X, Y ) ]
% 8.17/8.59 )
% 8.17/8.59 .
% 8.17/8.59 clause( 1036, [ ~( product( 'additive_identity', X, b ) ) ] )
% 8.17/8.59 .
% 8.17/8.59 clause( 1150, [ ~( product( Y, 'additive_identity', b ) ) ] )
% 8.17/8.59 .
% 8.17/8.59 clause( 1614, [ product( a, X, 'additive_identity' ), ~( product(
% 8.17/8.59 'multiplicative_identity', X, b ) ) ] )
% 8.17/8.59 .
% 8.17/8.59 clause( 25703, [ ~( product( 'multiplicative_identity', X, b ) ) ] )
% 8.17/8.59 .
% 8.17/8.59 clause( 25722, [] )
% 8.17/8.59 .
% 8.17/8.59
% 8.17/8.59
% 8.17/8.59 % SZS output end Refutation
% 8.17/8.59 found a proof!
% 8.17/8.59
% 8.17/8.59 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 8.17/8.59
% 8.17/8.59 initialclauses(
% 8.17/8.59 [ clause( 25724, [ sum( 'additive_identity', X, X ) ] )
% 8.17/8.59 , clause( 25725, [ sum( X, 'additive_identity', X ) ] )
% 8.17/8.59 , clause( 25726, [ product( X, Y, multiply( X, Y ) ) ] )
% 8.17/8.59 , clause( 25727, [ sum( X, Y, add( X, Y ) ) ] )
% 8.17/8.59 , clause( 25728, [ sum( 'additive_inverse'( X ), X, 'additive_identity' ) ]
% 8.17/8.59 )
% 8.17/8.59 , clause( 25729, [ sum( X, 'additive_inverse'( X ), 'additive_identity' ) ]
% 8.17/8.59 )
% 8.17/8.59 , clause( 25730, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T,
% 8.17/8.59 W ) ), sum( X, U, W ) ] )
% 8.17/8.59 , clause( 25731, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( X, U,
% 8.17/8.59 W ) ), sum( Z, T, W ) ] )
% 8.17/8.59 , clause( 25732, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 8.17/8.59 , clause( 25733, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 8.17/8.59 product( Z, T, W ) ), product( X, U, W ) ] )
% 8.17/8.59 , clause( 25734, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 8.17/8.59 product( X, U, W ) ), product( Z, T, W ) ] )
% 8.17/8.59 , clause( 25735, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 8.17/8.59 Y, T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 8.17/8.59 , clause( 25736, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 8.17/8.59 Y, T, W ) ), ~( sum( Z, U, V0 ) ), product( X, W, V0 ) ] )
% 8.17/8.59 , clause( 25737, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum(
% 8.17/8.59 X, T, W ) ), ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ] )
% 8.17/8.59 , clause( 25738, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum(
% 8.17/8.59 X, T, W ) ), ~( sum( Z, U, V0 ) ), product( W, Y, V0 ) ] )
% 8.17/8.59 , clause( 25739, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 8.17/8.59 , clause( 25740, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z,
% 8.17/8.59 T ) ] )
% 8.17/8.59 , clause( 25741, [ product( 'additive_identity', X, 'additive_identity' ) ]
% 8.17/8.59 )
% 8.17/8.59 , clause( 25742, [ product( X, 'additive_identity', 'additive_identity' ) ]
% 8.17/8.59 )
% 8.17/8.59 , clause( 25743, [ product( X, 'multiplicative_identity', X ) ] )
% 8.17/8.59 , clause( 25744, [ product( 'multiplicative_identity', X, X ) ] )
% 8.17/8.59 , clause( 25745, [ product( X, h( X ), 'multiplicative_identity' ), =( X,
% 8.17/8.59 'additive_identity' ) ] )
% 8.17/8.59 , clause( 25746, [ product( h( X ), X, 'multiplicative_identity' ), =( X,
% 8.17/8.59 'additive_identity' ) ] )
% 8.17/8.59 , clause( 25747, [ product( a, b, 'additive_identity' ) ] )
% 8.17/8.59 , clause( 25748, [ ~( =( a, 'additive_identity' ) ) ] )
% 8.17/8.59 , clause( 25749, [ ~( =( b, 'additive_identity' ) ) ] )
% 8.17/8.59 ] ).
% 8.17/8.59
% 8.17/8.59
% 8.17/8.59
% 8.17/8.59 subsumption(
% 8.17/8.59 clause( 0, [ sum( 'additive_identity', X, X ) ] )
% 8.17/8.59 , clause( 25724, [ sum( 'additive_identity', X, X ) ] )
% 8.17/8.59 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 8.17/8.59
% 8.17/8.59
% 8.17/8.59 subsumption(
% 8.17/8.59 clause( 1, [ sum( X, 'additive_identity', X ) ] )
% 8.17/8.59 , clause( 25725, [ sum( X, 'additive_identity', X ) ] )
% 8.17/8.59 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 8.17/8.59
% 8.17/8.59
% 8.17/8.59 subsumption(
% 8.17/8.59 clause( 9, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 8.17/8.59 Z, T, W ) ), product( X, U, W ) ] )
% 8.17/8.59 , clause( 25733, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 8.17/8.59 product( Z, T, W ) ), product( X, U, W ) ] )
% 8.17/8.59 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 8.17/8.59 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 8.17/8.59 , 2 ), ==>( 3, 3 )] ) ).
% 8.17/8.59
% 8.17/8.59
% 8.17/8.59 subsumption(
% 8.17/8.59 clause( 15, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 8.17/8.59 , clause( 25739, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 8.17/8.59 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 8.17/8.59 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 8.17/8.59
% 8.17/8.59
% 8.17/8.59 subsumption(
% 8.17/8.59 clause( 16, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 8.17/8.59 )
% 8.17/8.59 , clause( 25740, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z,
% 8.17/8.59 T ) ] )
% 8.17/8.59 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 8.17/8.59 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 8.17/8.59
% 8.17/8.59
% 8.17/8.59 subsumption(
% 8.17/8.59 clause( 17, [ product( 'additive_identity', X, 'additive_identity' ) ] )
% 8.17/8.59 , clause( 25741, [ product( 'additive_identity', X, 'additive_identity' ) ]
% 8.17/8.59 )
% 8.17/8.59 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 8.17/8.59
% 8.17/8.59
% 8.17/8.59 subsumption(
% 8.17/8.59 clause( 18, [ product( X, 'additive_identity', 'additive_identity' ) ] )
% 8.17/8.59 , clause( 25742, [ product( X, 'additive_identity', 'additive_identity' ) ]
% 8.17/8.59 )
% 8.17/8.59 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------