TSTP Solution File: BOO017-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : BOO017-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 : Thu Jul 14 23:30:41 EDT 2022
% Result : Unsatisfiable 16.32s 16.79s
% Output : Refutation 16.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : BOO017-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n018.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 : Wed Jun 1 18:41:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 15.84/16.25 *** allocated 10000 integers for termspace/termends
% 15.84/16.25 *** allocated 10000 integers for clauses
% 15.84/16.25 *** allocated 10000 integers for justifications
% 15.84/16.25 Bliksem 1.12
% 15.84/16.25
% 15.84/16.25
% 15.84/16.25 Automatic Strategy Selection
% 15.84/16.25
% 15.84/16.25 Clauses:
% 15.84/16.25 [
% 15.84/16.25 [ sum( X, Y, add( X, Y ) ) ],
% 15.84/16.25 [ product( X, Y, multiply( X, Y ) ) ],
% 15.84/16.25 [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ],
% 15.84/16.25 [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ],
% 15.84/16.25 [ sum( 'additive_identity', X, X ) ],
% 15.84/16.25 [ sum( X, 'additive_identity', X ) ],
% 15.84/16.25 [ product( 'multiplicative_identity', X, X ) ],
% 15.84/16.25 [ product( X, 'multiplicative_identity', X ) ],
% 15.84/16.25 [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T, W ) )
% 15.84/16.25 , ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ],
% 15.84/16.25 [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T, W ) )
% 15.84/16.25 , ~( sum( Z, U, V0 ) ), product( X, W, V0 ) ],
% 15.84/16.25 [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X, T, W ) )
% 15.84/16.25 , ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ],
% 15.84/16.25 [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X, T, W ) )
% 15.84/16.25 , ~( sum( Z, U, V0 ) ), product( W, Y, V0 ) ],
% 15.84/16.25 [ ~( sum( X, Y, Z ) ), ~( sum( X, T, U ) ), ~( product( Y, T, W ) ), ~(
% 15.84/16.25 sum( X, W, V0 ) ), product( Z, U, V0 ) ],
% 15.84/16.25 [ ~( sum( X, Y, Z ) ), ~( sum( X, T, U ) ), ~( product( Y, T, W ) ), ~(
% 15.84/16.25 product( Z, U, V0 ) ), sum( X, W, V0 ) ],
% 15.84/16.25 [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T, W ) ), ~(
% 15.84/16.25 sum( W, Y, V0 ) ), product( Z, U, V0 ) ],
% 15.84/16.25 [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T, W ) ), ~(
% 15.84/16.25 product( Z, U, V0 ) ), sum( W, Y, V0 ) ],
% 15.84/16.25 [ sum( inverse( X ), X, 'multiplicative_identity' ) ],
% 15.84/16.25 [ sum( X, inverse( X ), 'multiplicative_identity' ) ],
% 15.84/16.25 [ product( inverse( X ), X, 'additive_identity' ) ],
% 15.84/16.25 [ product( X, inverse( X ), 'additive_identity' ) ],
% 15.84/16.25 [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ],
% 15.84/16.25 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 15.84/16.25 [ sum( x, y, z ) ],
% 15.84/16.25 [ ~( product( x, z, x ) ) ]
% 15.84/16.25 ] .
% 15.84/16.25
% 15.84/16.25
% 15.84/16.25 percentage equality = 0.032258, percentage horn = 1.000000
% 15.84/16.25 This is a problem with some equality
% 15.84/16.25
% 15.84/16.25
% 15.84/16.25
% 15.84/16.25 Options Used:
% 15.84/16.25
% 15.84/16.25 useres = 1
% 15.84/16.25 useparamod = 1
% 15.84/16.25 useeqrefl = 1
% 15.84/16.25 useeqfact = 1
% 15.84/16.25 usefactor = 1
% 15.84/16.25 usesimpsplitting = 0
% 15.84/16.25 usesimpdemod = 5
% 15.84/16.25 usesimpres = 3
% 15.84/16.25
% 15.84/16.25 resimpinuse = 1000
% 15.84/16.25 resimpclauses = 20000
% 15.84/16.25 substype = eqrewr
% 15.84/16.25 backwardsubs = 1
% 15.84/16.25 selectoldest = 5
% 15.84/16.25
% 15.84/16.25 litorderings [0] = split
% 15.84/16.25 litorderings [1] = extend the termordering, first sorting on arguments
% 15.84/16.25
% 15.84/16.25 termordering = kbo
% 15.84/16.25
% 15.84/16.25 litapriori = 0
% 15.84/16.25 termapriori = 1
% 15.84/16.25 litaposteriori = 0
% 15.84/16.25 termaposteriori = 0
% 15.84/16.25 demodaposteriori = 0
% 15.84/16.25 ordereqreflfact = 0
% 15.84/16.25
% 15.84/16.25 litselect = negord
% 15.84/16.25
% 15.84/16.25 maxweight = 15
% 15.84/16.25 maxdepth = 30000
% 15.84/16.25 maxlength = 115
% 15.84/16.25 maxnrvars = 195
% 15.84/16.25 excuselevel = 1
% 15.84/16.25 increasemaxweight = 1
% 15.84/16.25
% 15.84/16.25 maxselected = 10000000
% 15.84/16.25 maxnrclauses = 10000000
% 15.84/16.25
% 15.84/16.25 showgenerated = 0
% 15.84/16.25 showkept = 0
% 15.84/16.25 showselected = 0
% 15.84/16.25 showdeleted = 0
% 15.84/16.25 showresimp = 1
% 15.84/16.25 showstatus = 2000
% 15.84/16.25
% 15.84/16.25 prologoutput = 1
% 15.84/16.25 nrgoals = 5000000
% 15.84/16.25 totalproof = 1
% 15.84/16.25
% 15.84/16.25 Symbols occurring in the translation:
% 15.84/16.25
% 15.84/16.25 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 15.84/16.25 . [1, 2] (w:1, o:29, a:1, s:1, b:0),
% 15.84/16.25 ! [4, 1] (w:0, o:23, a:1, s:1, b:0),
% 15.84/16.25 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 15.84/16.25 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 15.84/16.25 add [41, 2] (w:1, o:54, a:1, s:1, b:0),
% 15.84/16.25 sum [42, 3] (w:1, o:56, a:1, s:1, b:0),
% 15.84/16.25 multiply [43, 2] (w:1, o:55, a:1, s:1, b:0),
% 15.84/16.25 product [44, 3] (w:1, o:57, a:1, s:1, b:0),
% 15.84/16.25 'additive_identity' [46, 0] (w:1, o:12, a:1, s:1, b:0),
% 15.84/16.25 'multiplicative_identity' [47, 0] (w:1, o:13, a:1, s:1, b:0),
% 15.84/16.25 inverse [52, 1] (w:1, o:28, a:1, s:1, b:0),
% 15.84/16.25 x [55, 0] (w:1, o:20, a:1, s:1, b:0),
% 15.84/16.25 y [56, 0] (w:1, o:21, a:1, s:1, b:0),
% 15.84/16.25 z [57, 0] (w:1, o:22, a:1, s:1, b:0).
% 15.84/16.25
% 15.84/16.25
% 15.84/16.25 Starting Search:
% 15.84/16.25
% 15.84/16.25 Resimplifying inuse:
% 15.84/16.25 Done
% 15.84/16.25
% 15.84/16.25
% 15.84/16.25 Intermediate Status:
% 15.84/16.25 Generated: 7029
% 15.84/16.25 Kept: 2031
% 15.84/16.25 Inuse: 92
% 15.84/16.25 Deleted: 0
% 15.84/16.25 Deletedinuse: 0
% 15.84/16.25
% 15.84/16.25 Resimplifying inuse:
% 15.84/16.25 Done
% 15.84/16.25
% 15.84/16.25 Resimplifying inuse:
% 15.84/16.25 Done
% 15.84/16.25
% 15.84/16.25
% 15.84/16.25 Intermediate Status:
% 15.84/16.25 Generated: 17307
% 15.84/16.25 Kept: 4062
% 15.84/16.25 Inuse: 177
% 16.32/16.78 Deleted: 1
% 16.32/16.78 Deletedinuse: 1
% 16.32/16.78
% 16.32/16.78 Resimplifying inuse:
% 16.32/16.78 Done
% 16.32/16.78
% 16.32/16.78 Resimplifying inuse:
% 16.32/16.78 Done
% 16.32/16.78
% 16.32/16.78
% 16.32/16.78 Intermediate Status:
% 16.32/16.78 Generated: 24293
% 16.32/16.78 Kept: 6163
% 16.32/16.78 Inuse: 216
% 16.32/16.78 Deleted: 3
% 16.32/16.78 Deletedinuse: 3
% 16.32/16.78
% 16.32/16.78 Resimplifying inuse:
% 16.32/16.78 Done
% 16.32/16.78
% 16.32/16.78 Resimplifying inuse:
% 16.32/16.78 Done
% 16.32/16.78
% 16.32/16.78
% 16.32/16.78 Intermediate Status:
% 16.32/16.78 Generated: 30913
% 16.32/16.78 Kept: 8174
% 16.32/16.78 Inuse: 246
% 16.32/16.78 Deleted: 3
% 16.32/16.78 Deletedinuse: 3
% 16.32/16.78
% 16.32/16.78 Resimplifying inuse:
% 16.32/16.78 Done
% 16.32/16.78
% 16.32/16.78 Resimplifying inuse:
% 16.32/16.78 Done
% 16.32/16.78
% 16.32/16.78
% 16.32/16.78 Intermediate Status:
% 16.32/16.78 Generated: 37985
% 16.32/16.78 Kept: 10187
% 16.32/16.78 Inuse: 290
% 16.32/16.78 Deleted: 3
% 16.32/16.78 Deletedinuse: 3
% 16.32/16.78
% 16.32/16.78 Resimplifying inuse:
% 16.32/16.78 Done
% 16.32/16.78
% 16.32/16.78 Resimplifying inuse:
% 16.32/16.78 Done
% 16.32/16.78
% 16.32/16.78
% 16.32/16.78 Intermediate Status:
% 16.32/16.78 Generated: 45562
% 16.32/16.78 Kept: 12193
% 16.32/16.78 Inuse: 334
% 16.32/16.78 Deleted: 3
% 16.32/16.78 Deletedinuse: 3
% 16.32/16.78
% 16.32/16.78 Resimplifying inuse:
% 16.32/16.78 Done
% 16.32/16.78
% 16.32/16.78 Resimplifying inuse:
% 16.32/16.78 Done
% 16.32/16.78
% 16.32/16.78
% 16.32/16.78 Intermediate Status:
% 16.32/16.78 Generated: 53066
% 16.32/16.78 Kept: 14218
% 16.32/16.78 Inuse: 373
% 16.32/16.78 Deleted: 3
% 16.32/16.78 Deletedinuse: 3
% 16.32/16.78
% 16.32/16.78 Resimplifying inuse:
% 16.32/16.78 Done
% 16.32/16.78
% 16.32/16.78 Resimplifying inuse:
% 16.32/16.78 Done
% 16.32/16.78
% 16.32/16.78
% 16.32/16.78 Intermediate Status:
% 16.32/16.78 Generated: 66096
% 16.32/16.78 Kept: 16241
% 16.32/16.78 Inuse: 397
% 16.32/16.78 Deleted: 3
% 16.32/16.78 Deletedinuse: 3
% 16.32/16.78
% 16.32/16.78 Resimplifying inuse:
% 16.32/16.78 Done
% 16.32/16.78
% 16.32/16.78 Resimplifying inuse:
% 16.32/16.78 Done
% 16.32/16.78
% 16.32/16.78
% 16.32/16.78 Intermediate Status:
% 16.32/16.78 Generated: 75663
% 16.32/16.78 Kept: 18321
% 16.32/16.78 Inuse: 438
% 16.32/16.78 Deleted: 5
% 16.32/16.78 Deletedinuse: 3
% 16.32/16.78
% 16.32/16.78 Resimplifying inuse:
% 16.32/16.78 Done
% 16.32/16.78
% 16.32/16.78 Resimplifying clauses:
% 16.32/16.78 Done
% 16.32/16.78
% 16.32/16.78 Resimplifying inuse:
% 16.32/16.78 Done
% 16.32/16.78
% 16.32/16.78
% 16.32/16.78 Intermediate Status:
% 16.32/16.78 Generated: 85709
% 16.32/16.78 Kept: 20360
% 16.32/16.78 Inuse: 475
% 16.32/16.78 Deleted: 323
% 16.32/16.78 Deletedinuse: 3
% 16.32/16.78
% 16.32/16.78 Resimplifying inuse:
% 16.32/16.78 Done
% 16.32/16.78
% 16.32/16.78 Resimplifying inuse:
% 16.32/16.78 Done
% 16.32/16.78
% 16.32/16.78
% 16.32/16.78 Intermediate Status:
% 16.32/16.78 Generated: 96317
% 16.32/16.78 Kept: 22455
% 16.32/16.78 Inuse: 519
% 16.32/16.78 Deleted: 323
% 16.32/16.78 Deletedinuse: 3
% 16.32/16.78
% 16.32/16.78 Resimplifying inuse:
% 16.32/16.78 Done
% 16.32/16.78
% 16.32/16.78 Resimplifying inuse:
% 16.32/16.78 Done
% 16.32/16.78
% 16.32/16.78
% 16.32/16.78 Intermediate Status:
% 16.32/16.78 Generated: 104373
% 16.32/16.78 Kept: 24473
% 16.32/16.78 Inuse: 553
% 16.32/16.78 Deleted: 323
% 16.32/16.78 Deletedinuse: 3
% 16.32/16.78
% 16.32/16.78 Resimplifying inuse:
% 16.32/16.78 Done
% 16.32/16.78
% 16.32/16.78 Resimplifying inuse:
% 16.32/16.78 Done
% 16.32/16.78
% 16.32/16.78
% 16.32/16.78 Intermediate Status:
% 16.32/16.78 Generated: 120937
% 16.32/16.78 Kept: 26480
% 16.32/16.78 Inuse: 609
% 16.32/16.78 Deleted: 323
% 16.32/16.78 Deletedinuse: 3
% 16.32/16.78
% 16.32/16.78 Resimplifying inuse:
% 16.32/16.78 Done
% 16.32/16.78
% 16.32/16.78 Resimplifying inuse:
% 16.32/16.78 Done
% 16.32/16.78
% 16.32/16.78
% 16.32/16.78 Intermediate Status:
% 16.32/16.78 Generated: 141576
% 16.32/16.78 Kept: 28505
% 16.32/16.78 Inuse: 655
% 16.32/16.79 Deleted: 323
% 16.32/16.79 Deletedinuse: 3
% 16.32/16.79
% 16.32/16.79 Resimplifying inuse:
% 16.32/16.79 Done
% 16.32/16.79
% 16.32/16.79 Resimplifying inuse:
% 16.32/16.79 Done
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 Intermediate Status:
% 16.32/16.79 Generated: 162840
% 16.32/16.79 Kept: 30506
% 16.32/16.79 Inuse: 713
% 16.32/16.79 Deleted: 323
% 16.32/16.79 Deletedinuse: 3
% 16.32/16.79
% 16.32/16.79 Resimplifying inuse:
% 16.32/16.79 Done
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 Intermediate Status:
% 16.32/16.79 Generated: 177625
% 16.32/16.79 Kept: 32577
% 16.32/16.79 Inuse: 753
% 16.32/16.79 Deleted: 323
% 16.32/16.79 Deletedinuse: 3
% 16.32/16.79
% 16.32/16.79 Resimplifying inuse:
% 16.32/16.79 Done
% 16.32/16.79
% 16.32/16.79 Resimplifying inuse:
% 16.32/16.79 Done
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 Intermediate Status:
% 16.32/16.79 Generated: 186107
% 16.32/16.79 Kept: 34586
% 16.32/16.79 Inuse: 786
% 16.32/16.79 Deleted: 337
% 16.32/16.79 Deletedinuse: 17
% 16.32/16.79
% 16.32/16.79 Resimplifying inuse:
% 16.32/16.79 Done
% 16.32/16.79
% 16.32/16.79 Resimplifying inuse:
% 16.32/16.79 Done
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 Intermediate Status:
% 16.32/16.79 Generated: 193025
% 16.32/16.79 Kept: 36603
% 16.32/16.79 Inuse: 814
% 16.32/16.79 Deleted: 355
% 16.32/16.79 Deletedinuse: 35
% 16.32/16.79
% 16.32/16.79 Resimplifying inuse:
% 16.32/16.79 Done
% 16.32/16.79
% 16.32/16.79 Resimplifying inuse:
% 16.32/16.79 Done
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 Intermediate Status:
% 16.32/16.79 Generated: 200529
% 16.32/16.79 Kept: 38688
% 16.32/16.79 Inuse: 859
% 16.32/16.79 Deleted: 541
% 16.32/16.79 Deletedinuse: 218
% 16.32/16.79
% 16.32/16.79 Resimplifying inuse:
% 16.32/16.79 Done
% 16.32/16.79
% 16.32/16.79 Resimplifying inuse:
% 16.32/16.79 Done
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 Intermediate Status:
% 16.32/16.79 Generated: 210939
% 16.32/16.79 Kept: 40721
% 16.32/16.79 Inuse: 870
% 16.32/16.79 Deleted: 543
% 16.32/16.79 Deletedinuse: 220
% 16.32/16.79
% 16.32/16.79 Resimplifying clauses:
% 16.32/16.79 Done
% 16.32/16.79
% 16.32/16.79 Resimplifying inuse:
% 16.32/16.79 Done
% 16.32/16.79
% 16.32/16.79 Resimplifying inuse:
% 16.32/16.79 Done
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 Intermediate Status:
% 16.32/16.79 Generated: 221057
% 16.32/16.79 Kept: 42941
% 16.32/16.79 Inuse: 890
% 16.32/16.79 Deleted: 17066
% 16.32/16.79 Deletedinuse: 221
% 16.32/16.79
% 16.32/16.79 Resimplifying inuse:
% 16.32/16.79 Done
% 16.32/16.79
% 16.32/16.79 Resimplifying inuse:
% 16.32/16.79 Done
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 Intermediate Status:
% 16.32/16.79 Generated: 232871
% 16.32/16.79 Kept: 44953
% 16.32/16.79 Inuse: 903
% 16.32/16.79 Deleted: 17066
% 16.32/16.79 Deletedinuse: 221
% 16.32/16.79
% 16.32/16.79 Resimplifying inuse:
% 16.32/16.79 Done
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 Intermediate Status:
% 16.32/16.79 Generated: 239364
% 16.32/16.79 Kept: 48010
% 16.32/16.79 Inuse: 909
% 16.32/16.79 Deleted: 17066
% 16.32/16.79 Deletedinuse: 221
% 16.32/16.79
% 16.32/16.79 Resimplifying inuse:
% 16.32/16.79 Done
% 16.32/16.79
% 16.32/16.79 Resimplifying inuse:
% 16.32/16.79 Done
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 Intermediate Status:
% 16.32/16.79 Generated: 249462
% 16.32/16.79 Kept: 50088
% 16.32/16.79 Inuse: 923
% 16.32/16.79 Deleted: 17076
% 16.32/16.79 Deletedinuse: 231
% 16.32/16.79
% 16.32/16.79 Resimplifying inuse:
% 16.32/16.79 Done
% 16.32/16.79
% 16.32/16.79 Resimplifying inuse:
% 16.32/16.79 Done
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 Intermediate Status:
% 16.32/16.79 Generated: 255978
% 16.32/16.79 Kept: 52097
% 16.32/16.79 Inuse: 940
% 16.32/16.79 Deleted: 17079
% 16.32/16.79 Deletedinuse: 233
% 16.32/16.79
% 16.32/16.79 Resimplifying inuse:
% 16.32/16.79 Done
% 16.32/16.79
% 16.32/16.79 Resimplifying inuse:
% 16.32/16.79 Done
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 Intermediate Status:
% 16.32/16.79 Generated: 264904
% 16.32/16.79 Kept: 54166
% 16.32/16.79 Inuse: 965
% 16.32/16.79 Deleted: 17079
% 16.32/16.79 Deletedinuse: 233
% 16.32/16.79
% 16.32/16.79 Resimplifying inuse:
% 16.32/16.79 Done
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 Bliksems!, er is een bewijs:
% 16.32/16.79 % SZS status Unsatisfiable
% 16.32/16.79 % SZS output start Refutation
% 16.32/16.79
% 16.32/16.79 clause( 1, [ product( X, Y, multiply( X, Y ) ) ] )
% 16.32/16.79 .
% 16.32/16.79 clause( 2, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 16.32/16.79 .
% 16.32/16.79 clause( 3, [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ] )
% 16.32/16.79 .
% 16.32/16.79 clause( 4, [ sum( 'additive_identity', X, X ) ] )
% 16.32/16.79 .
% 16.32/16.79 clause( 5, [ sum( X, 'additive_identity', X ) ] )
% 16.32/16.79 .
% 16.32/16.79 clause( 8, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T
% 16.32/16.79 , W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 16.32/16.79 .
% 16.32/16.79 clause( 14, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T, W
% 16.32/16.79 ) ), ~( sum( W, Y, V0 ) ), product( Z, U, V0 ) ] )
% 16.32/16.79 .
% 16.32/16.79 clause( 19, [ product( X, inverse( X ), 'additive_identity' ) ] )
% 16.32/16.79 .
% 16.32/16.79 clause( 20, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 16.32/16.79 .
% 16.32/16.79 clause( 22, [ sum( x, y, z ) ] )
% 16.32/16.79 .
% 16.32/16.79 clause( 23, [ ~( product( x, z, x ) ) ] )
% 16.32/16.79 .
% 16.32/16.79 clause( 47, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T, T
% 16.32/16.79 ) ), product( Z, U, U ) ] )
% 16.32/16.79 .
% 16.32/16.79 clause( 52, [ product( X, Y, multiply( Y, X ) ) ] )
% 16.32/16.79 .
% 16.32/16.79 clause( 53, [ ~( product( z, x, x ) ) ] )
% 16.32/16.79 .
% 16.32/16.79 clause( 54, [ sum( y, x, z ) ] )
% 16.32/16.79 .
% 16.32/16.79 clause( 170, [ ~( product( X, 'additive_identity', Y ) ), ~( product( X, Z
% 16.32/16.79 , T ) ), ~( product( X, Z, U ) ), sum( Y, T, U ) ] )
% 16.32/16.79 .
% 16.32/16.79 clause( 188, [ ~( product( X, 'additive_identity', Y ) ), ~( product( X, Z
% 16.32/16.79 , T ) ), sum( Y, T, T ) ] )
% 16.32/16.79 .
% 16.32/16.79 clause( 867, [ ~( sum( X, 'additive_identity', Y ) ), =( X, Y ) ] )
% 16.32/16.79 .
% 16.32/16.79 clause( 4178, [ ~( sum( X, Y, Z ) ), ~( product( X, 'additive_identity',
% 16.32/16.79 'additive_identity' ) ), product( Z, Y, Y ) ] )
% 16.32/16.79 .
% 16.32/16.79 clause( 34702, [ ~( product( X, 'additive_identity', Y ) ), sum( Y,
% 16.32/16.79 'additive_identity', 'additive_identity' ) ] )
% 16.32/16.79 .
% 16.32/16.79 clause( 35428, [ sum( multiply( 'additive_identity', X ),
% 16.32/16.79 'additive_identity', 'additive_identity' ) ] )
% 16.32/16.79 .
% 16.32/16.79 clause( 35825, [ =( multiply( 'additive_identity', X ), 'additive_identity'
% 16.32/16.79 ) ] )
% 16.32/16.79 .
% 16.32/16.79 clause( 35950, [ product( X, 'additive_identity', 'additive_identity' ) ]
% 16.32/16.79 )
% 16.32/16.79 .
% 16.32/16.79 clause( 40805, [ ~( sum( X, Y, Z ) ), product( Z, Y, Y ) ] )
% 16.32/16.79 .
% 16.32/16.79 clause( 55175, [] )
% 16.32/16.79 .
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 % SZS output end Refutation
% 16.32/16.79 found a proof!
% 16.32/16.79
% 16.32/16.79 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 16.32/16.79
% 16.32/16.79 initialclauses(
% 16.32/16.79 [ clause( 55177, [ sum( X, Y, add( X, Y ) ) ] )
% 16.32/16.79 , clause( 55178, [ product( X, Y, multiply( X, Y ) ) ] )
% 16.32/16.79 , clause( 55179, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 16.32/16.79 , clause( 55180, [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ] )
% 16.32/16.79 , clause( 55181, [ sum( 'additive_identity', X, X ) ] )
% 16.32/16.79 , clause( 55182, [ sum( X, 'additive_identity', X ) ] )
% 16.32/16.79 , clause( 55183, [ product( 'multiplicative_identity', X, X ) ] )
% 16.32/16.79 , clause( 55184, [ product( X, 'multiplicative_identity', X ) ] )
% 16.32/16.79 , clause( 55185, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 16.32/16.79 Y, T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 16.32/16.79 , clause( 55186, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 16.32/16.79 Y, T, W ) ), ~( sum( Z, U, V0 ) ), product( X, W, V0 ) ] )
% 16.32/16.79 , clause( 55187, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum(
% 16.32/16.79 X, T, W ) ), ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ] )
% 16.32/16.79 , clause( 55188, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum(
% 16.32/16.79 X, T, W ) ), ~( sum( Z, U, V0 ) ), product( W, Y, V0 ) ] )
% 16.32/16.79 , clause( 55189, [ ~( sum( X, Y, Z ) ), ~( sum( X, T, U ) ), ~( product( Y
% 16.32/16.79 , T, W ) ), ~( sum( X, W, V0 ) ), product( Z, U, V0 ) ] )
% 16.32/16.79 , clause( 55190, [ ~( sum( X, Y, Z ) ), ~( sum( X, T, U ) ), ~( product( Y
% 16.32/16.79 , T, W ) ), ~( product( Z, U, V0 ) ), sum( X, W, V0 ) ] )
% 16.32/16.79 , clause( 55191, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X
% 16.32/16.79 , T, W ) ), ~( sum( W, Y, V0 ) ), product( Z, U, V0 ) ] )
% 16.32/16.79 , clause( 55192, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X
% 16.32/16.79 , T, W ) ), ~( product( Z, U, V0 ) ), sum( W, Y, V0 ) ] )
% 16.32/16.79 , clause( 55193, [ sum( inverse( X ), X, 'multiplicative_identity' ) ] )
% 16.32/16.79 , clause( 55194, [ sum( X, inverse( X ), 'multiplicative_identity' ) ] )
% 16.32/16.79 , clause( 55195, [ product( inverse( X ), X, 'additive_identity' ) ] )
% 16.32/16.79 , clause( 55196, [ product( X, inverse( X ), 'additive_identity' ) ] )
% 16.32/16.79 , clause( 55197, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 16.32/16.79 , clause( 55198, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z,
% 16.32/16.79 T ) ] )
% 16.32/16.79 , clause( 55199, [ sum( x, y, z ) ] )
% 16.32/16.79 , clause( 55200, [ ~( product( x, z, x ) ) ] )
% 16.32/16.79 ] ).
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 subsumption(
% 16.32/16.79 clause( 1, [ product( X, Y, multiply( X, Y ) ) ] )
% 16.32/16.79 , clause( 55178, [ product( X, Y, multiply( X, Y ) ) ] )
% 16.32/16.79 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 16.32/16.79 )] ) ).
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 subsumption(
% 16.32/16.79 clause( 2, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 16.32/16.79 , clause( 55179, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 16.32/16.79 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 16.32/16.79 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 subsumption(
% 16.32/16.79 clause( 3, [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ] )
% 16.32/16.79 , clause( 55180, [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ] )
% 16.32/16.79 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 16.32/16.79 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 subsumption(
% 16.32/16.79 clause( 4, [ sum( 'additive_identity', X, X ) ] )
% 16.32/16.79 , clause( 55181, [ sum( 'additive_identity', X, X ) ] )
% 16.32/16.79 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 subsumption(
% 16.32/16.79 clause( 5, [ sum( X, 'additive_identity', X ) ] )
% 16.32/16.79 , clause( 55182, [ sum( X, 'additive_identity', X ) ] )
% 16.32/16.79 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 subsumption(
% 16.32/16.79 clause( 8, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T
% 16.32/16.79 , W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 16.32/16.79 , clause( 55185, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 16.32/16.79 Y, T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 16.32/16.79 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 16.32/16.79 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1
% 16.32/16.79 , 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 subsumption(
% 16.32/16.79 clause( 14, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T, W
% 16.32/16.79 ) ), ~( sum( W, Y, V0 ) ), product( Z, U, V0 ) ] )
% 16.32/16.79 , clause( 55191, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X
% 16.32/16.79 , T, W ) ), ~( sum( W, Y, V0 ) ), product( Z, U, V0 ) ] )
% 16.32/16.79 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 16.32/16.79 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1
% 16.32/16.79 , 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 subsumption(
% 16.32/16.79 clause( 19, [ product( X, inverse( X ), 'additive_identity' ) ] )
% 16.32/16.79 , clause( 55196, [ product( X, inverse( X ), 'additive_identity' ) ] )
% 16.32/16.79 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 subsumption(
% 16.32/16.79 clause( 20, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 16.32/16.79 , clause( 55197, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 16.32/16.79 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 16.32/16.79 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 subsumption(
% 16.32/16.79 clause( 22, [ sum( x, y, z ) ] )
% 16.32/16.79 , clause( 55199, [ sum( x, y, z ) ] )
% 16.32/16.79 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 subsumption(
% 16.32/16.79 clause( 23, [ ~( product( x, z, x ) ) ] )
% 16.32/16.79 , clause( 55200, [ ~( product( x, z, x ) ) ] )
% 16.32/16.79 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 factor(
% 16.32/16.79 clause( 55349, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T
% 16.32/16.79 , T ) ), product( Z, U, U ) ] )
% 16.32/16.79 , clause( 14, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T
% 16.32/16.79 , W ) ), ~( sum( W, Y, V0 ) ), product( Z, U, V0 ) ] )
% 16.32/16.79 , 1, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 16.32/16.79 :=( U, U ), :=( W, T ), :=( V0, U )] )).
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 subsumption(
% 16.32/16.79 clause( 47, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T, T
% 16.32/16.79 ) ), product( Z, U, U ) ] )
% 16.32/16.79 , clause( 55349, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X
% 16.32/16.79 , T, T ) ), product( Z, U, U ) ] )
% 16.32/16.79 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 16.32/16.79 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3
% 16.32/16.79 , 3 )] ) ).
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 resolution(
% 16.32/16.79 clause( 55351, [ product( Y, X, multiply( X, Y ) ) ] )
% 16.32/16.79 , clause( 3, [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ] )
% 16.32/16.79 , 0, clause( 1, [ product( X, Y, multiply( X, Y ) ) ] )
% 16.32/16.79 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, multiply( X, Y ) )] )
% 16.32/16.79 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 subsumption(
% 16.32/16.79 clause( 52, [ product( X, Y, multiply( Y, X ) ) ] )
% 16.32/16.79 , clause( 55351, [ product( Y, X, multiply( X, Y ) ) ] )
% 16.32/16.79 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 16.32/16.79 )] ) ).
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 resolution(
% 16.32/16.79 clause( 55352, [ ~( product( z, x, x ) ) ] )
% 16.32/16.79 , clause( 23, [ ~( product( x, z, x ) ) ] )
% 16.32/16.79 , 0, clause( 3, [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ] )
% 16.32/16.79 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, z ), :=( Y, x ), :=(
% 16.32/16.79 Z, x )] )).
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 subsumption(
% 16.32/16.79 clause( 53, [ ~( product( z, x, x ) ) ] )
% 16.32/16.79 , clause( 55352, [ ~( product( z, x, x ) ) ] )
% 16.32/16.79 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 resolution(
% 16.32/16.79 clause( 55353, [ sum( y, x, z ) ] )
% 16.32/16.79 , clause( 2, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 16.32/16.79 , 0, clause( 22, [ sum( x, y, z ) ] )
% 16.32/16.79 , 0, substitution( 0, [ :=( X, x ), :=( Y, y ), :=( Z, z )] ),
% 16.32/16.79 substitution( 1, [] )).
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 subsumption(
% 16.32/16.79 clause( 54, [ sum( y, x, z ) ] )
% 16.32/16.79 , clause( 55353, [ sum( y, x, z ) ] )
% 16.32/16.79 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 resolution(
% 16.32/16.79 clause( 55354, [ ~( product( X, 'additive_identity', Y ) ), ~( product( X,
% 16.32/16.79 Z, T ) ), ~( product( X, Z, U ) ), sum( Y, T, U ) ] )
% 16.32/16.79 , clause( 8, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y
% 16.32/16.79 , T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 16.32/16.79 , 2, clause( 4, [ sum( 'additive_identity', X, X ) ] )
% 16.32/16.79 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'additive_identity' ), :=( Z, Y
% 16.32/16.79 ), :=( T, Z ), :=( U, T ), :=( W, Z ), :=( V0, U )] ), substitution( 1
% 16.32/16.79 , [ :=( X, Z )] )).
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 subsumption(
% 16.32/16.79 clause( 170, [ ~( product( X, 'additive_identity', Y ) ), ~( product( X, Z
% 16.32/16.79 , T ) ), ~( product( X, Z, U ) ), sum( Y, T, U ) ] )
% 16.32/16.79 , clause( 55354, [ ~( product( X, 'additive_identity', Y ) ), ~( product( X
% 16.32/16.79 , Z, T ) ), ~( product( X, Z, U ) ), sum( Y, T, U ) ] )
% 16.32/16.79 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 16.32/16.79 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3
% 16.32/16.79 , 3 )] ) ).
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 factor(
% 16.32/16.79 clause( 55361, [ ~( product( X, 'additive_identity', Y ) ), ~( product( X,
% 16.32/16.79 Z, T ) ), sum( Y, T, T ) ] )
% 16.32/16.79 , clause( 170, [ ~( product( X, 'additive_identity', Y ) ), ~( product( X,
% 16.32/16.79 Z, T ) ), ~( product( X, Z, U ) ), sum( Y, T, U ) ] )
% 16.32/16.79 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 16.32/16.79 :=( U, T )] )).
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 subsumption(
% 16.32/16.79 clause( 188, [ ~( product( X, 'additive_identity', Y ) ), ~( product( X, Z
% 16.32/16.79 , T ) ), sum( Y, T, T ) ] )
% 16.32/16.79 , clause( 55361, [ ~( product( X, 'additive_identity', Y ) ), ~( product( X
% 16.32/16.79 , Z, T ) ), sum( Y, T, T ) ] )
% 16.32/16.79 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 16.32/16.79 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 resolution(
% 16.32/16.79 clause( 55363, [ ~( sum( X, 'additive_identity', Y ) ), =( X, Y ) ] )
% 16.32/16.79 , clause( 20, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 16.32/16.79 , 0, clause( 5, [ sum( X, 'additive_identity', X ) ] )
% 16.32/16.79 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'additive_identity' ), :=( Z, X
% 16.32/16.79 ), :=( T, Y )] ), substitution( 1, [ :=( X, X )] )).
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 subsumption(
% 16.32/16.79 clause( 867, [ ~( sum( X, 'additive_identity', Y ) ), =( X, Y ) ] )
% 16.32/16.79 , clause( 55363, [ ~( sum( X, 'additive_identity', Y ) ), =( X, Y ) ] )
% 16.32/16.79 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 16.32/16.79 ), ==>( 1, 1 )] ) ).
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 resolution(
% 16.32/16.79 clause( 55366, [ ~( sum( X, Y, Z ) ), ~( product( X, 'additive_identity',
% 16.32/16.79 'additive_identity' ) ), product( Z, Y, Y ) ] )
% 16.32/16.79 , clause( 47, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T
% 16.32/16.79 , T ) ), product( Z, U, U ) ] )
% 16.32/16.79 , 1, clause( 4, [ sum( 'additive_identity', X, X ) ] )
% 16.32/16.79 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T,
% 16.32/16.79 'additive_identity' ), :=( U, Y )] ), substitution( 1, [ :=( X, Y )] )
% 16.32/16.79 ).
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 subsumption(
% 16.32/16.79 clause( 4178, [ ~( sum( X, Y, Z ) ), ~( product( X, 'additive_identity',
% 16.32/16.79 'additive_identity' ) ), product( Z, Y, Y ) ] )
% 16.32/16.79 , clause( 55366, [ ~( sum( X, Y, Z ) ), ~( product( X, 'additive_identity'
% 16.32/16.79 , 'additive_identity' ) ), product( Z, Y, Y ) ] )
% 16.32/16.79 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 16.32/16.79 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 resolution(
% 16.32/16.79 clause( 55367, [ ~( product( X, 'additive_identity', Y ) ), sum( Y,
% 16.32/16.79 'additive_identity', 'additive_identity' ) ] )
% 16.32/16.79 , clause( 188, [ ~( product( X, 'additive_identity', Y ) ), ~( product( X,
% 16.32/16.79 Z, T ) ), sum( Y, T, T ) ] )
% 16.32/16.79 , 1, clause( 19, [ product( X, inverse( X ), 'additive_identity' ) ] )
% 16.32/16.79 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, inverse( X ) ), :=(
% 16.32/16.79 T, 'additive_identity' )] ), substitution( 1, [ :=( X, X )] )).
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 subsumption(
% 16.32/16.79 clause( 34702, [ ~( product( X, 'additive_identity', Y ) ), sum( Y,
% 16.32/16.79 'additive_identity', 'additive_identity' ) ] )
% 16.32/16.79 , clause( 55367, [ ~( product( X, 'additive_identity', Y ) ), sum( Y,
% 16.32/16.79 'additive_identity', 'additive_identity' ) ] )
% 16.32/16.79 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 16.32/16.79 ), ==>( 1, 1 )] ) ).
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 resolution(
% 16.32/16.79 clause( 55368, [ sum( multiply( 'additive_identity', X ),
% 16.32/16.79 'additive_identity', 'additive_identity' ) ] )
% 16.32/16.79 , clause( 34702, [ ~( product( X, 'additive_identity', Y ) ), sum( Y,
% 16.32/16.79 'additive_identity', 'additive_identity' ) ] )
% 16.32/16.79 , 0, clause( 52, [ product( X, Y, multiply( Y, X ) ) ] )
% 16.32/16.79 , 0, substitution( 0, [ :=( X, X ), :=( Y, multiply( 'additive_identity', X
% 16.32/16.79 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, 'additive_identity' )] )
% 16.32/16.79 ).
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 subsumption(
% 16.32/16.79 clause( 35428, [ sum( multiply( 'additive_identity', X ),
% 16.32/16.79 'additive_identity', 'additive_identity' ) ] )
% 16.32/16.79 , clause( 55368, [ sum( multiply( 'additive_identity', X ),
% 16.32/16.79 'additive_identity', 'additive_identity' ) ] )
% 16.32/16.79 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 eqswap(
% 16.32/16.79 clause( 55369, [ =( Y, X ), ~( sum( X, 'additive_identity', Y ) ) ] )
% 16.32/16.79 , clause( 867, [ ~( sum( X, 'additive_identity', Y ) ), =( X, Y ) ] )
% 16.32/16.79 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 resolution(
% 16.32/16.79 clause( 55370, [ =( 'additive_identity', multiply( 'additive_identity', X )
% 16.32/16.79 ) ] )
% 16.32/16.79 , clause( 55369, [ =( Y, X ), ~( sum( X, 'additive_identity', Y ) ) ] )
% 16.32/16.79 , 1, clause( 35428, [ sum( multiply( 'additive_identity', X ),
% 16.32/16.79 'additive_identity', 'additive_identity' ) ] )
% 16.32/16.79 , 0, substitution( 0, [ :=( X, multiply( 'additive_identity', X ) ), :=( Y
% 16.32/16.79 , 'additive_identity' )] ), substitution( 1, [ :=( X, X )] )).
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 eqswap(
% 16.32/16.79 clause( 55371, [ =( multiply( 'additive_identity', X ), 'additive_identity'
% 16.32/16.79 ) ] )
% 16.32/16.79 , clause( 55370, [ =( 'additive_identity', multiply( 'additive_identity', X
% 16.32/16.79 ) ) ] )
% 16.32/16.79 , 0, substitution( 0, [ :=( X, X )] )).
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 subsumption(
% 16.32/16.79 clause( 35825, [ =( multiply( 'additive_identity', X ), 'additive_identity'
% 16.32/16.79 ) ] )
% 16.32/16.79 , clause( 55371, [ =( multiply( 'additive_identity', X ),
% 16.32/16.79 'additive_identity' ) ] )
% 16.32/16.79 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 paramod(
% 16.32/16.79 clause( 55373, [ product( X, 'additive_identity', 'additive_identity' ) ]
% 16.32/16.79 )
% 16.32/16.79 , clause( 35825, [ =( multiply( 'additive_identity', X ),
% 16.32/16.79 'additive_identity' ) ] )
% 16.32/16.79 , 0, clause( 52, [ product( X, Y, multiply( Y, X ) ) ] )
% 16.32/16.79 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 16.32/16.79 :=( Y, 'additive_identity' )] )).
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 subsumption(
% 16.32/16.79 clause( 35950, [ product( X, 'additive_identity', 'additive_identity' ) ]
% 16.32/16.79 )
% 16.32/16.79 , clause( 55373, [ product( X, 'additive_identity', 'additive_identity' ) ]
% 16.32/16.79 )
% 16.32/16.79 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 resolution(
% 16.32/16.79 clause( 55374, [ ~( sum( X, Y, Z ) ), product( Z, Y, Y ) ] )
% 16.32/16.79 , clause( 4178, [ ~( sum( X, Y, Z ) ), ~( product( X, 'additive_identity',
% 16.32/16.79 'additive_identity' ) ), product( Z, Y, Y ) ] )
% 16.32/16.79 , 1, clause( 35950, [ product( X, 'additive_identity', 'additive_identity'
% 16.32/16.79 ) ] )
% 16.32/16.79 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 16.32/16.79 substitution( 1, [ :=( X, X )] )).
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 subsumption(
% 16.32/16.79 clause( 40805, [ ~( sum( X, Y, Z ) ), product( Z, Y, Y ) ] )
% 16.32/16.79 , clause( 55374, [ ~( sum( X, Y, Z ) ), product( Z, Y, Y ) ] )
% 16.32/16.79 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 16.32/16.79 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 resolution(
% 16.32/16.79 clause( 55375, [ product( z, x, x ) ] )
% 16.32/16.79 , clause( 40805, [ ~( sum( X, Y, Z ) ), product( Z, Y, Y ) ] )
% 16.32/16.79 , 0, clause( 54, [ sum( y, x, z ) ] )
% 16.32/16.79 , 0, substitution( 0, [ :=( X, y ), :=( Y, x ), :=( Z, z )] ),
% 16.32/16.79 substitution( 1, [] )).
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 resolution(
% 16.32/16.79 clause( 55376, [] )
% 16.32/16.79 , clause( 53, [ ~( product( z, x, x ) ) ] )
% 16.32/16.79 , 0, clause( 55375, [ product( z, x, x ) ] )
% 16.32/16.79 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 subsumption(
% 16.32/16.79 clause( 55175, [] )
% 16.32/16.79 , clause( 55376, [] )
% 16.32/16.79 , substitution( 0, [] ), permutation( 0, [] ) ).
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 end.
% 16.32/16.79
% 16.32/16.79 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 16.32/16.79
% 16.32/16.79 Memory use:
% 16.32/16.79
% 16.32/16.79 space for terms: 813309
% 16.32/16.79 space for clauses: 2157633
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 clauses generated: 272256
% 16.32/16.79 clauses kept: 55176
% 16.32/16.79 clauses selected: 983
% 16.32/16.79 clauses deleted: 17079
% 16.32/16.79 clauses inuse deleted: 233
% 16.32/16.79
% 16.32/16.79 subsentry: 3602908
% 16.32/16.79 literals s-matched: 1302113
% 16.32/16.79 literals matched: 916751
% 16.32/16.79 full subsumption: 403317
% 16.32/16.79
% 16.32/16.79 checksum: 2107143231
% 16.32/16.79
% 16.32/16.79
% 16.32/16.79 Bliksem ended
%------------------------------------------------------------------------------