TSTP Solution File: RNG006-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : RNG006-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 20:16:03 EDT 2022
% Result : Unsatisfiable 172.44s 172.86s
% Output : Refutation 172.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : RNG006-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n026.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 06:22:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 8.76/9.17 *** allocated 10000 integers for termspace/termends
% 8.76/9.17 *** allocated 10000 integers for clauses
% 8.76/9.17 *** allocated 10000 integers for justifications
% 8.76/9.17 Bliksem 1.12
% 8.76/9.17
% 8.76/9.17
% 8.76/9.17 Automatic Strategy Selection
% 8.76/9.17
% 8.76/9.17 Clauses:
% 8.76/9.17 [
% 8.76/9.17 [ sum( 'additive_identity', X, X ) ],
% 8.76/9.17 [ sum( X, 'additive_identity', X ) ],
% 8.76/9.17 [ product( X, Y, multiply( X, Y ) ) ],
% 8.76/9.17 [ sum( X, Y, add( X, Y ) ) ],
% 8.76/9.17 [ sum( 'additive_inverse'( X ), X, 'additive_identity' ) ],
% 8.76/9.17 [ sum( X, 'additive_inverse'( X ), 'additive_identity' ) ],
% 8.76/9.17 [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T, W ) ), sum( X
% 8.76/9.17 , U, W ) ],
% 8.76/9.17 [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( X, U, W ) ), sum( Z
% 8.76/9.17 , T, W ) ],
% 8.76/9.17 [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ],
% 8.76/9.17 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( Z, T, W
% 8.76/9.17 ) ), product( X, U, W ) ],
% 8.76/9.17 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( X, U, W
% 8.76/9.17 ) ), product( Z, T, W ) ],
% 8.76/9.17 [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T, W ) )
% 8.76/9.17 , ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ],
% 8.76/9.17 [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T, W ) )
% 8.76/9.17 , ~( sum( Z, U, V0 ) ), product( X, W, V0 ) ],
% 8.76/9.17 [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X, T, W ) )
% 8.76/9.17 , ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ],
% 8.76/9.17 [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X, T, W ) )
% 8.76/9.17 , ~( sum( Z, U, V0 ) ), product( W, Y, V0 ) ],
% 8.76/9.17 [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ],
% 8.76/9.17 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 8.76/9.17 [ ~( product( X, Y, Z ) ), product( X, 'additive_inverse'( Y ),
% 8.76/9.17 'additive_inverse'( Z ) ) ],
% 8.76/9.17 [ ~( product( X, Y, Z ) ), product( 'additive_inverse'( X ), Y,
% 8.76/9.17 'additive_inverse'( Z ) ) ],
% 8.76/9.17 [ ~( product( X, Y, Z ) ), product( 'additive_inverse'( X ),
% 8.76/9.17 'additive_inverse'( Y ), Z ) ],
% 8.76/9.17 [ sum( b, 'additive_inverse'( c ), 'bS_Ic' ) ],
% 8.76/9.17 [ product( a, b, aPb ) ],
% 8.76/9.17 [ product( a, c, aPc ) ],
% 8.76/9.17 [ sum( aPb, 'additive_inverse'( aPc ), 'aPb_S_IaPc' ) ],
% 8.76/9.17 [ ~( product( a, 'bS_Ic', 'aPb_S_IaPc' ) ) ]
% 8.76/9.17 ] .
% 8.76/9.17
% 8.76/9.17
% 8.76/9.17 percentage equality = 0.032787, percentage horn = 1.000000
% 8.76/9.17 This is a problem with some equality
% 8.76/9.17
% 8.76/9.17
% 8.76/9.17
% 8.76/9.17 Options Used:
% 8.76/9.17
% 8.76/9.17 useres = 1
% 8.76/9.17 useparamod = 1
% 8.76/9.17 useeqrefl = 1
% 8.76/9.17 useeqfact = 1
% 8.76/9.17 usefactor = 1
% 8.76/9.17 usesimpsplitting = 0
% 8.76/9.17 usesimpdemod = 5
% 8.76/9.17 usesimpres = 3
% 8.76/9.17
% 8.76/9.17 resimpinuse = 1000
% 8.76/9.17 resimpclauses = 20000
% 8.76/9.17 substype = eqrewr
% 8.76/9.17 backwardsubs = 1
% 8.76/9.17 selectoldest = 5
% 8.76/9.17
% 8.76/9.17 litorderings [0] = split
% 8.76/9.17 litorderings [1] = extend the termordering, first sorting on arguments
% 8.76/9.17
% 8.76/9.17 termordering = kbo
% 8.76/9.17
% 8.76/9.17 litapriori = 0
% 8.76/9.17 termapriori = 1
% 8.76/9.17 litaposteriori = 0
% 8.76/9.17 termaposteriori = 0
% 8.76/9.17 demodaposteriori = 0
% 8.76/9.17 ordereqreflfact = 0
% 8.76/9.17
% 8.76/9.17 litselect = negord
% 8.76/9.17
% 8.76/9.17 maxweight = 15
% 8.76/9.17 maxdepth = 30000
% 8.76/9.17 maxlength = 115
% 8.76/9.17 maxnrvars = 195
% 8.76/9.17 excuselevel = 1
% 8.76/9.17 increasemaxweight = 1
% 8.76/9.17
% 8.76/9.17 maxselected = 10000000
% 8.76/9.17 maxnrclauses = 10000000
% 8.76/9.17
% 8.76/9.17 showgenerated = 0
% 8.76/9.17 showkept = 0
% 8.76/9.17 showselected = 0
% 8.76/9.17 showdeleted = 0
% 8.76/9.17 showresimp = 1
% 8.76/9.17 showstatus = 2000
% 8.76/9.17
% 8.76/9.17 prologoutput = 1
% 8.76/9.17 nrgoals = 5000000
% 8.76/9.17 totalproof = 1
% 8.76/9.17
% 8.76/9.17 Symbols occurring in the translation:
% 8.76/9.17
% 8.76/9.17 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 8.76/9.17 . [1, 2] (w:1, o:36, a:1, s:1, b:0),
% 8.76/9.17 ! [4, 1] (w:0, o:30, a:1, s:1, b:0),
% 8.76/9.17 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 8.76/9.17 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 8.76/9.17 'additive_identity' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 8.76/9.17 sum [41, 3] (w:1, o:63, a:1, s:1, b:0),
% 8.76/9.17 multiply [43, 2] (w:1, o:61, a:1, s:1, b:0),
% 8.76/9.17 product [44, 3] (w:1, o:64, a:1, s:1, b:0),
% 8.76/9.17 add [45, 2] (w:1, o:62, a:1, s:1, b:0),
% 8.76/9.17 'additive_inverse' [46, 1] (w:1, o:35, a:1, s:1, b:0),
% 8.76/9.17 b [58, 0] (w:1, o:27, a:1, s:1, b:0),
% 8.76/9.17 c [59, 0] (w:1, o:29, a:1, s:1, b:0),
% 8.76/9.17 'bS_Ic' [60, 0] (w:1, o:28, a:1, s:1, b:0),
% 8.76/9.17 a [61, 0] (w:1, o:23, a:1, s:1, b:0),
% 8.76/9.17 aPb [62, 0] (w:1, o:24, a:1, s:1, b:0),
% 8.76/9.17 aPc [63, 0] (w:1, o:26, a:1, s:1, b:0),
% 8.76/9.17 'aPb_S_IaPc' [64, 0] (w:1, o:25, a:1, s:1, b:0).
% 8.76/9.17
% 8.76/9.17
% 8.76/9.17 Starting Search:
% 8.76/9.17
% 8.76/9.17 Resimplifying inuse:
% 52.97/53.39 Done
% 52.97/53.39
% 52.97/53.39
% 52.97/53.39 Intermediate Status:
% 52.97/53.39 Generated: 5167
% 52.97/53.39 Kept: 2001
% 52.97/53.39 Inuse: 71
% 52.97/53.39 Deleted: 7
% 52.97/53.39 Deletedinuse: 3
% 52.97/53.39
% 52.97/53.39 Resimplifying inuse:
% 52.97/53.39 Done
% 52.97/53.39
% 52.97/53.39 Resimplifying inuse:
% 52.97/53.39 Done
% 52.97/53.39
% 52.97/53.39
% 52.97/53.39 Intermediate Status:
% 52.97/53.39 Generated: 10681
% 52.97/53.39 Kept: 4012
% 52.97/53.39 Inuse: 125
% 52.97/53.39 Deleted: 20
% 52.97/53.39 Deletedinuse: 15
% 52.97/53.39
% 52.97/53.39 Resimplifying inuse:
% 52.97/53.39 Done
% 52.97/53.39
% 52.97/53.39 Resimplifying inuse:
% 52.97/53.39 Done
% 52.97/53.39
% 52.97/53.39
% 52.97/53.39 Intermediate Status:
% 52.97/53.39 Generated: 21745
% 52.97/53.39 Kept: 6036
% 52.97/53.39 Inuse: 204
% 52.97/53.39 Deleted: 56
% 52.97/53.39 Deletedinuse: 31
% 52.97/53.39
% 52.97/53.39 Resimplifying inuse:
% 52.97/53.39 Done
% 52.97/53.39
% 52.97/53.39 Resimplifying inuse:
% 52.97/53.39 Done
% 52.97/53.39
% 52.97/53.39
% 52.97/53.39 Intermediate Status:
% 52.97/53.39 Generated: 27953
% 52.97/53.39 Kept: 8048
% 52.97/53.39 Inuse: 237
% 52.97/53.39 Deleted: 60
% 52.97/53.39 Deletedinuse: 35
% 52.97/53.39
% 52.97/53.39 Resimplifying inuse:
% 52.97/53.39 Done
% 52.97/53.39
% 52.97/53.39 Resimplifying inuse:
% 52.97/53.39 Done
% 52.97/53.39
% 52.97/53.39
% 52.97/53.39 Intermediate Status:
% 52.97/53.39 Generated: 35743
% 52.97/53.39 Kept: 10097
% 52.97/53.39 Inuse: 283
% 52.97/53.39 Deleted: 92
% 52.97/53.39 Deletedinuse: 59
% 52.97/53.39
% 52.97/53.39 Resimplifying inuse:
% 52.97/53.39 Done
% 52.97/53.39
% 52.97/53.39 Resimplifying inuse:
% 52.97/53.39 Done
% 52.97/53.39
% 52.97/53.39
% 52.97/53.39 Intermediate Status:
% 52.97/53.39 Generated: 42966
% 52.97/53.39 Kept: 12102
% 52.97/53.39 Inuse: 324
% 52.97/53.39 Deleted: 94
% 52.97/53.39 Deletedinuse: 60
% 52.97/53.39
% 52.97/53.39 Resimplifying inuse:
% 52.97/53.39 Done
% 52.97/53.39
% 52.97/53.39 Resimplifying inuse:
% 52.97/53.39 Done
% 52.97/53.39
% 52.97/53.39
% 52.97/53.39 Intermediate Status:
% 52.97/53.39 Generated: 50917
% 52.97/53.39 Kept: 14129
% 52.97/53.39 Inuse: 365
% 52.97/53.39 Deleted: 104
% 52.97/53.39 Deletedinuse: 60
% 52.97/53.39
% 52.97/53.39 Resimplifying inuse:
% 52.97/53.39 Done
% 52.97/53.39
% 52.97/53.39 Resimplifying inuse:
% 52.97/53.39 Done
% 52.97/53.39
% 52.97/53.39
% 52.97/53.39 Intermediate Status:
% 52.97/53.39 Generated: 57541
% 52.97/53.39 Kept: 16160
% 52.97/53.39 Inuse: 396
% 52.97/53.39 Deleted: 108
% 52.97/53.39 Deletedinuse: 60
% 52.97/53.39
% 52.97/53.39 Resimplifying inuse:
% 52.97/53.39 Done
% 52.97/53.39
% 52.97/53.39 Resimplifying inuse:
% 52.97/53.39 Done
% 52.97/53.39
% 52.97/53.39
% 52.97/53.39 Intermediate Status:
% 52.97/53.39 Generated: 67672
% 52.97/53.39 Kept: 18227
% 52.97/53.39 Inuse: 436
% 52.97/53.39 Deleted: 115
% 52.97/53.39 Deletedinuse: 61
% 52.97/53.39
% 52.97/53.39 Resimplifying inuse:
% 52.97/53.39 Done
% 52.97/53.39
% 52.97/53.39 Resimplifying inuse:
% 52.97/53.39 Done
% 52.97/53.39
% 52.97/53.39 Resimplifying clauses:
% 52.97/53.39 Done
% 52.97/53.39
% 52.97/53.39
% 52.97/53.39 Intermediate Status:
% 52.97/53.39 Generated: 76901
% 52.97/53.39 Kept: 20414
% 52.97/53.39 Inuse: 462
% 52.97/53.39 Deleted: 2842
% 52.97/53.39 Deletedinuse: 61
% 52.97/53.39
% 52.97/53.39 Resimplifying inuse:
% 52.97/53.39 Done
% 52.97/53.39
% 52.97/53.39 Resimplifying inuse:
% 52.97/53.39 Done
% 52.97/53.39
% 52.97/53.39
% 52.97/53.39 Intermediate Status:
% 52.97/53.39 Generated: 83843
% 52.97/53.39 Kept: 22485
% 52.97/53.39 Inuse: 488
% 52.97/53.39 Deleted: 2844
% 52.97/53.39 Deletedinuse: 61
% 52.97/53.39
% 52.97/53.39 Resimplifying inuse:
% 52.97/53.39 Done
% 52.97/53.39
% 52.97/53.39
% 52.97/53.39 Intermediate Status:
% 52.97/53.39 Generated: 91897
% 52.97/53.39 Kept: 24551
% 52.97/53.39 Inuse: 504
% 52.97/53.39 Deleted: 2857
% 52.97/53.39 Deletedinuse: 62
% 52.97/53.39
% 52.97/53.39 Resimplifying inuse:
% 52.97/53.39 Done
% 52.97/53.39
% 52.97/53.39 Resimplifying inuse:
% 52.97/53.40 Done
% 52.97/53.40
% 52.97/53.40
% 52.97/53.40 Intermediate Status:
% 52.97/53.40 Generated: 96996
% 52.97/53.40 Kept: 26582
% 52.97/53.40 Inuse: 520
% 52.97/53.40 Deleted: 2858
% 52.97/53.40 Deletedinuse: 63
% 52.97/53.40
% 52.97/53.40 Resimplifying inuse:
% 52.97/53.40 Done
% 52.97/53.40
% 52.97/53.40 Resimplifying inuse:
% 52.97/53.40 Done
% 52.97/53.40
% 52.97/53.40
% 52.97/53.40 Intermediate Status:
% 52.97/53.40 Generated: 104125
% 52.97/53.40 Kept: 28655
% 52.97/53.40 Inuse: 538
% 52.97/53.40 Deleted: 2859
% 52.97/53.40 Deletedinuse: 64
% 52.97/53.40
% 52.97/53.40 Resimplifying inuse:
% 52.97/53.40 Done
% 52.97/53.40
% 52.97/53.40 Resimplifying inuse:
% 52.97/53.40 Done
% 52.97/53.40
% 52.97/53.40
% 52.97/53.40 Intermediate Status:
% 52.97/53.40 Generated: 111095
% 52.97/53.40 Kept: 30732
% 52.97/53.40 Inuse: 562
% 52.97/53.40 Deleted: 2904
% 52.97/53.40 Deletedinuse: 99
% 52.97/53.40
% 52.97/53.40 Resimplifying inuse:
% 52.97/53.40 Done
% 52.97/53.40
% 52.97/53.40 Resimplifying inuse:
% 52.97/53.40 Done
% 52.97/53.40
% 52.97/53.40
% 52.97/53.40 Intermediate Status:
% 52.97/53.40 Generated: 120848
% 52.97/53.40 Kept: 32759
% 52.97/53.40 Inuse: 593
% 52.97/53.40 Deleted: 2937
% 52.97/53.40 Deletedinuse: 130
% 52.97/53.40
% 52.97/53.40 Resimplifying inuse:
% 52.97/53.40 Done
% 52.97/53.40
% 52.97/53.40 Resimplifying inuse:
% 52.97/53.40 Done
% 52.97/53.40
% 52.97/53.40
% 52.97/53.40 Intermediate Status:
% 52.97/53.40 Generated: 129461
% 52.97/53.40 Kept: 34840
% 52.97/53.40 Inuse: 631
% 52.97/53.40 Deleted: 2939
% 52.97/53.40 Deletedinuse: 131
% 52.97/53.40
% 52.97/53.40 Resimplifying inuse:
% 52.97/53.40 Done
% 52.97/53.40
% 52.97/53.40 Resimplifying inuse:
% 52.97/53.40 Done
% 52.97/53.40
% 52.97/53.40
% 52.97/53.40 Intermediate Status:
% 52.97/53.40 Generated: 137938
% 52.97/53.40 Kept: 36870
% 52.97/53.40 Inuse: 661
% 52.97/53.40 Deleted: 2945
% 52.97/53.40 Deletedinuse: 136
% 52.97/53.40
% 52.97/53.40 Resimplifying inuse:
% 52.97/53.40 Done
% 52.97/53.40
% 52.97/53.40 Resimplifying inuse:
% 52.97/53.40 Done
% 52.97/53.40
% 52.97/53.40
% 52.97/53.40 Intermediate Status:
% 52.97/53.40 Generated: 146285
% 52.97/53.40 Kept: 38927
% 52.97/53.40 Inuse: 690
% 52.97/53.40 Deleted: 2945
% 52.97/53.40 Deletedinuse: 136
% 52.97/53.40
% 52.97/53.40 Resimplifying inuse:
% 52.97/53.40 Done
% 52.97/53.40
% 52.97/53.40 Resimplifying clauses:
% 52.97/53.40 Done
% 52.97/53.40
% 52.97/53.40 Resimplifying inuse:
% 52.97/53.40 Done
% 52.97/53.40
% 52.97/53.40
% 52.97/53.40 Intermediate Status:
% 52.97/53.40 Generated: 154674
% 52.97/53.40 Kept: 40959
% 52.97/53.40 Inuse: 721
% 52.97/53.40 Deleted: 10259
% 52.97/53.40 Deletedinuse: 136
% 52.97/53.40
% 52.97/53.40 Resimplifying inuse:
% 52.97/53.40 Done
% 52.97/53.40
% 52.97/53.40 Resimplifying inuse:
% 52.97/53.40 Done
% 52.97/53.40
% 52.97/53.40
% 52.97/53.40 Intermediate Status:
% 52.97/53.40 Generated: 162432
% 52.97/53.40 Kept: 42970
% 52.97/53.40 Inuse: 753
% 52.97/53.40 Deleted: 10261
% 52.97/53.40 Deletedinuse: 138
% 52.97/53.40
% 52.97/53.40 Resimplifying inuse:
% 52.97/53.40 Done
% 52.97/53.40
% 52.97/53.40 Resimplifying inuse:
% 52.97/53.40 Done
% 52.97/53.40
% 52.97/53.40
% 52.97/53.40 Intermediate Status:
% 52.97/53.40 Generated: 171172
% 52.97/53.40 Kept: 44993
% 52.97/53.40 Inuse: 785
% 52.97/53.40 Deleted: 10261
% 52.97/53.40 Deletedinuse: 138
% 52.97/53.40
% 52.97/53.40 Resimplifying inuse:
% 52.97/53.40 Done
% 52.97/53.40
% 52.97/53.40 Resimplifying inuse:
% 52.97/53.40 Done
% 52.97/53.40
% 52.97/53.40
% 52.97/53.40 Intermediate Status:
% 52.97/53.40 Generated: 182212
% 52.97/53.40 Kept: 47009
% 52.97/53.40 Inuse: 814
% 52.97/53.40 Deleted: 10261
% 52.97/53.40 Deletedinuse: 138
% 52.97/53.40
% 52.97/53.40 Resimplifying inuse:
% 52.97/53.40 Done
% 52.97/53.40
% 52.97/53.40 Resimplifying inuse:
% 52.97/53.40 Done
% 52.97/53.40
% 52.97/53.40
% 52.97/53.40 Intermediate Status:
% 52.97/53.40 Generated: 192622
% 52.97/53.40 Kept: 49037
% 52.97/53.40 Inuse: 841
% 52.97/53.40 Deleted: 10261
% 52.97/53.40 Deletedinuse: 138
% 172.44/172.85
% 172.44/172.85 Resimplifying inuse:
% 172.44/172.85 Done
% 172.44/172.85
% 172.44/172.85 Resimplifying inuse:
% 172.44/172.85 Done
% 172.44/172.85
% 172.44/172.85
% 172.44/172.85 Intermediate Status:
% 172.44/172.85 Generated: 207178
% 172.44/172.85 Kept: 51051
% 172.44/172.85 Inuse: 877
% 172.44/172.85 Deleted: 10261
% 172.44/172.85 Deletedinuse: 138
% 172.44/172.85
% 172.44/172.85 Resimplifying inuse:
% 172.44/172.85 Done
% 172.44/172.85
% 172.44/172.85 Resimplifying inuse:
% 172.44/172.85 Done
% 172.44/172.85
% 172.44/172.85
% 172.44/172.85 Intermediate Status:
% 172.44/172.85 Generated: 215496
% 172.44/172.85 Kept: 53086
% 172.44/172.85 Inuse: 897
% 172.44/172.85 Deleted: 10265
% 172.44/172.85 Deletedinuse: 142
% 172.44/172.85
% 172.44/172.85 Resimplifying inuse:
% 172.44/172.85 Done
% 172.44/172.85
% 172.44/172.85 Resimplifying inuse:
% 172.44/172.85 Done
% 172.44/172.85
% 172.44/172.85
% 172.44/172.85 Intermediate Status:
% 172.44/172.85 Generated: 224841
% 172.44/172.85 Kept: 55095
% 172.44/172.85 Inuse: 921
% 172.44/172.85 Deleted: 10268
% 172.44/172.85 Deletedinuse: 142
% 172.44/172.85
% 172.44/172.85 Resimplifying inuse:
% 172.44/172.85 Done
% 172.44/172.85
% 172.44/172.85 Resimplifying inuse:
% 172.44/172.85 Done
% 172.44/172.85
% 172.44/172.85
% 172.44/172.85 Intermediate Status:
% 172.44/172.85 Generated: 233749
% 172.44/172.85 Kept: 57102
% 172.44/172.85 Inuse: 952
% 172.44/172.85 Deleted: 10268
% 172.44/172.85 Deletedinuse: 142
% 172.44/172.85
% 172.44/172.85 Resimplifying inuse:
% 172.44/172.85 Done
% 172.44/172.85
% 172.44/172.85 Resimplifying inuse:
% 172.44/172.85 Done
% 172.44/172.85
% 172.44/172.85
% 172.44/172.85 Intermediate Status:
% 172.44/172.85 Generated: 241573
% 172.44/172.85 Kept: 59156
% 172.44/172.85 Inuse: 976
% 172.44/172.85 Deleted: 10268
% 172.44/172.85 Deletedinuse: 142
% 172.44/172.85
% 172.44/172.85 Resimplifying inuse:
% 172.44/172.85 Done
% 172.44/172.85
% 172.44/172.85 Resimplifying clauses:
% 172.44/172.85 Done
% 172.44/172.85
% 172.44/172.85 Resimplifying inuse:
% 172.44/172.85 Done
% 172.44/172.85
% 172.44/172.85
% 172.44/172.85 Intermediate Status:
% 172.44/172.85 Generated: 252065
% 172.44/172.85 Kept: 61234
% 172.44/172.86 Inuse: 1006
% 172.44/172.86 Deleted: 11741
% 172.44/172.86 Deletedinuse: 142
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 Intermediate Status:
% 172.44/172.86 Generated: 270849
% 172.44/172.86 Kept: 63271
% 172.44/172.86 Inuse: 1037
% 172.44/172.86 Deleted: 11741
% 172.44/172.86 Deletedinuse: 142
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 Intermediate Status:
% 172.44/172.86 Generated: 288674
% 172.44/172.86 Kept: 65281
% 172.44/172.86 Inuse: 1069
% 172.44/172.86 Deleted: 11741
% 172.44/172.86 Deletedinuse: 142
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 Intermediate Status:
% 172.44/172.86 Generated: 309660
% 172.44/172.86 Kept: 67289
% 172.44/172.86 Inuse: 1103
% 172.44/172.86 Deleted: 11741
% 172.44/172.86 Deletedinuse: 142
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 Intermediate Status:
% 172.44/172.86 Generated: 328640
% 172.44/172.86 Kept: 69296
% 172.44/172.86 Inuse: 1131
% 172.44/172.86 Deleted: 11741
% 172.44/172.86 Deletedinuse: 142
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 Intermediate Status:
% 172.44/172.86 Generated: 345305
% 172.44/172.86 Kept: 71315
% 172.44/172.86 Inuse: 1168
% 172.44/172.86 Deleted: 11741
% 172.44/172.86 Deletedinuse: 142
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 Intermediate Status:
% 172.44/172.86 Generated: 359482
% 172.44/172.86 Kept: 73416
% 172.44/172.86 Inuse: 1194
% 172.44/172.86 Deleted: 11742
% 172.44/172.86 Deletedinuse: 143
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 Intermediate Status:
% 172.44/172.86 Generated: 367485
% 172.44/172.86 Kept: 75547
% 172.44/172.86 Inuse: 1210
% 172.44/172.86 Deleted: 11743
% 172.44/172.86 Deletedinuse: 144
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 Intermediate Status:
% 172.44/172.86 Generated: 377253
% 172.44/172.86 Kept: 77560
% 172.44/172.86 Inuse: 1218
% 172.44/172.86 Deleted: 11744
% 172.44/172.86 Deletedinuse: 145
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 Intermediate Status:
% 172.44/172.86 Generated: 391543
% 172.44/172.86 Kept: 79629
% 172.44/172.86 Inuse: 1244
% 172.44/172.86 Deleted: 11744
% 172.44/172.86 Deletedinuse: 145
% 172.44/172.86
% 172.44/172.86 Resimplifying clauses:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 Intermediate Status:
% 172.44/172.86 Generated: 413125
% 172.44/172.86 Kept: 81645
% 172.44/172.86 Inuse: 1266
% 172.44/172.86 Deleted: 12493
% 172.44/172.86 Deletedinuse: 145
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 Intermediate Status:
% 172.44/172.86 Generated: 429555
% 172.44/172.86 Kept: 83696
% 172.44/172.86 Inuse: 1289
% 172.44/172.86 Deleted: 12493
% 172.44/172.86 Deletedinuse: 145
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 Intermediate Status:
% 172.44/172.86 Generated: 448199
% 172.44/172.86 Kept: 85698
% 172.44/172.86 Inuse: 1319
% 172.44/172.86 Deleted: 12493
% 172.44/172.86 Deletedinuse: 145
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 Intermediate Status:
% 172.44/172.86 Generated: 466761
% 172.44/172.86 Kept: 87762
% 172.44/172.86 Inuse: 1347
% 172.44/172.86 Deleted: 12493
% 172.44/172.86 Deletedinuse: 145
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 Intermediate Status:
% 172.44/172.86 Generated: 479739
% 172.44/172.86 Kept: 89774
% 172.44/172.86 Inuse: 1373
% 172.44/172.86 Deleted: 12493
% 172.44/172.86 Deletedinuse: 145
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 Intermediate Status:
% 172.44/172.86 Generated: 493947
% 172.44/172.86 Kept: 91786
% 172.44/172.86 Inuse: 1401
% 172.44/172.86 Deleted: 12493
% 172.44/172.86 Deletedinuse: 145
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 Intermediate Status:
% 172.44/172.86 Generated: 507193
% 172.44/172.86 Kept: 93859
% 172.44/172.86 Inuse: 1427
% 172.44/172.86 Deleted: 12493
% 172.44/172.86 Deletedinuse: 145
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 Intermediate Status:
% 172.44/172.86 Generated: 520964
% 172.44/172.86 Kept: 95952
% 172.44/172.86 Inuse: 1454
% 172.44/172.86 Deleted: 12493
% 172.44/172.86 Deletedinuse: 145
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 Intermediate Status:
% 172.44/172.86 Generated: 531088
% 172.44/172.86 Kept: 97983
% 172.44/172.86 Inuse: 1475
% 172.44/172.86 Deleted: 12494
% 172.44/172.86 Deletedinuse: 146
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 Intermediate Status:
% 172.44/172.86 Generated: 541888
% 172.44/172.86 Kept: 100113
% 172.44/172.86 Inuse: 1497
% 172.44/172.86 Deleted: 12494
% 172.44/172.86 Deletedinuse: 146
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86 Resimplifying clauses:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 Intermediate Status:
% 172.44/172.86 Generated: 559345
% 172.44/172.86 Kept: 102119
% 172.44/172.86 Inuse: 1533
% 172.44/172.86 Deleted: 13327
% 172.44/172.86 Deletedinuse: 146
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 Intermediate Status:
% 172.44/172.86 Generated: 578221
% 172.44/172.86 Kept: 104136
% 172.44/172.86 Inuse: 1571
% 172.44/172.86 Deleted: 13327
% 172.44/172.86 Deletedinuse: 146
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 Intermediate Status:
% 172.44/172.86 Generated: 586481
% 172.44/172.86 Kept: 106870
% 172.44/172.86 Inuse: 1576
% 172.44/172.86 Deleted: 13328
% 172.44/172.86 Deletedinuse: 147
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 Intermediate Status:
% 172.44/172.86 Generated: 591863
% 172.44/172.86 Kept: 109190
% 172.44/172.86 Inuse: 1577
% 172.44/172.86 Deleted: 13329
% 172.44/172.86 Deletedinuse: 148
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 Intermediate Status:
% 172.44/172.86 Generated: 612975
% 172.44/172.86 Kept: 111212
% 172.44/172.86 Inuse: 1605
% 172.44/172.86 Deleted: 13329
% 172.44/172.86 Deletedinuse: 148
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 Intermediate Status:
% 172.44/172.86 Generated: 629890
% 172.44/172.86 Kept: 113263
% 172.44/172.86 Inuse: 1630
% 172.44/172.86 Deleted: 13329
% 172.44/172.86 Deletedinuse: 148
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 Intermediate Status:
% 172.44/172.86 Generated: 645010
% 172.44/172.86 Kept: 115278
% 172.44/172.86 Inuse: 1662
% 172.44/172.86 Deleted: 13329
% 172.44/172.86 Deletedinuse: 148
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 Intermediate Status:
% 172.44/172.86 Generated: 658336
% 172.44/172.86 Kept: 117376
% 172.44/172.86 Inuse: 1682
% 172.44/172.86 Deleted: 13329
% 172.44/172.86 Deletedinuse: 148
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 Intermediate Status:
% 172.44/172.86 Generated: 673810
% 172.44/172.86 Kept: 119419
% 172.44/172.86 Inuse: 1707
% 172.44/172.86 Deleted: 13329
% 172.44/172.86 Deletedinuse: 148
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86 Resimplifying clauses:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 Intermediate Status:
% 172.44/172.86 Generated: 687090
% 172.44/172.86 Kept: 121523
% 172.44/172.86 Inuse: 1724
% 172.44/172.86 Deleted: 14458
% 172.44/172.86 Deletedinuse: 148
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 Intermediate Status:
% 172.44/172.86 Generated: 701196
% 172.44/172.86 Kept: 123589
% 172.44/172.86 Inuse: 1743
% 172.44/172.86 Deleted: 14458
% 172.44/172.86 Deletedinuse: 148
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 Intermediate Status:
% 172.44/172.86 Generated: 713710
% 172.44/172.86 Kept: 125621
% 172.44/172.86 Inuse: 1760
% 172.44/172.86 Deleted: 14458
% 172.44/172.86 Deletedinuse: 148
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 Intermediate Status:
% 172.44/172.86 Generated: 724152
% 172.44/172.86 Kept: 127934
% 172.44/172.86 Inuse: 1767
% 172.44/172.86 Deleted: 14458
% 172.44/172.86 Deletedinuse: 148
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 Intermediate Status:
% 172.44/172.86 Generated: 733283
% 172.44/172.86 Kept: 129947
% 172.44/172.86 Inuse: 1773
% 172.44/172.86 Deleted: 14458
% 172.44/172.86 Deletedinuse: 148
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 Intermediate Status:
% 172.44/172.86 Generated: 752537
% 172.44/172.86 Kept: 131988
% 172.44/172.86 Inuse: 1798
% 172.44/172.86 Deleted: 14458
% 172.44/172.86 Deletedinuse: 148
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 Intermediate Status:
% 172.44/172.86 Generated: 787556
% 172.44/172.86 Kept: 136621
% 172.44/172.86 Inuse: 1821
% 172.44/172.86 Deleted: 14459
% 172.44/172.86 Deletedinuse: 149
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 Intermediate Status:
% 172.44/172.86 Generated: 793979
% 172.44/172.86 Kept: 139439
% 172.44/172.86 Inuse: 1822
% 172.44/172.86 Deleted: 14460
% 172.44/172.86 Deletedinuse: 150
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86 Resimplifying clauses:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 Intermediate Status:
% 172.44/172.86 Generated: 830687
% 172.44/172.86 Kept: 141567
% 172.44/172.86 Inuse: 1853
% 172.44/172.86 Deleted: 15182
% 172.44/172.86 Deletedinuse: 150
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 Intermediate Status:
% 172.44/172.86 Generated: 858047
% 172.44/172.86 Kept: 143640
% 172.44/172.86 Inuse: 1879
% 172.44/172.86 Deleted: 15182
% 172.44/172.86 Deletedinuse: 150
% 172.44/172.86
% 172.44/172.86 Resimplifying inuse:
% 172.44/172.86 Done
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 Bliksems!, er is een bewijs:
% 172.44/172.86 % SZS status Unsatisfiable
% 172.44/172.86 % SZS output start Refutation
% 172.44/172.86
% 172.44/172.86 clause( 0, [ sum( 'additive_identity', X, X ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 1, [ sum( X, 'additive_identity', X ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 2, [ product( X, Y, multiply( X, Y ) ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 3, [ sum( X, Y, add( X, Y ) ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 4, [ sum( 'additive_inverse'( X ), X, 'additive_identity' ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 5, [ sum( X, 'additive_inverse'( X ), 'additive_identity' ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 6, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T, W ) )
% 172.44/172.86 , sum( X, U, W ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 7, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( X, U, W ) )
% 172.44/172.86 , sum( Z, T, W ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 8, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 11, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y,
% 172.44/172.86 T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 15, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 16, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 172.44/172.86 )
% 172.44/172.86 .
% 172.44/172.86 clause( 20, [ sum( b, 'additive_inverse'( c ), 'bS_Ic' ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 21, [ product( a, b, aPb ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 22, [ product( a, c, aPc ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 23, [ sum( aPb, 'additive_inverse'( aPc ), 'aPb_S_IaPc' ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 24, [ ~( product( a, 'bS_Ic', 'aPb_S_IaPc' ) ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 49, [ sum( X, Y, add( Y, X ) ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 50, [ sum( 'additive_inverse'( c ), b, 'bS_Ic' ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 51, [ sum( 'additive_inverse'( aPc ), aPb, 'aPb_S_IaPc' ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 59, [ ~( sum( X, 'additive_inverse'( aPc ), Y ) ), ~( sum( Y, aPb,
% 172.44/172.86 Z ) ), sum( X, 'aPb_S_IaPc', Z ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 77, [ ~( sum( X, Y, Z ) ), ~( sum( 'additive_identity', Y, T ) ),
% 172.44/172.86 sum( 'additive_inverse'( X ), Z, T ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 82, [ ~( sum( X, Y, Z ) ), ~( sum( Y, 'additive_inverse'( Z ), T )
% 172.44/172.86 ), sum( X, T, 'additive_identity' ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 85, [ ~( sum( X, Y, 'additive_identity' ) ), ~( sum( Y, Z, T ) ),
% 172.44/172.86 sum( X, T, Z ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 89, [ ~( sum( 'additive_identity', X, Y ) ), sum(
% 172.44/172.86 'additive_inverse'( 'additive_identity' ), Y, Y ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 100, [ sum( 'additive_inverse'( 'additive_identity' ), X, X ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 104, [ sum( X, 'additive_inverse'( 'additive_identity' ), X ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 128, [ ~( sum( 'additive_inverse'( aPc ), X, Y ) ), ~( sum( X, Z,
% 172.44/172.86 aPb ) ), sum( Y, Z, 'aPb_S_IaPc' ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 130, [ ~( sum( X, 'additive_inverse'( c ), Y ) ), ~( sum( X,
% 172.44/172.86 'bS_Ic', Z ) ), sum( Y, b, Z ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 145, [ ~( sum( X, Y, Z ) ), ~( sum( 'additive_inverse'( X ), Z, T )
% 172.44/172.86 ), sum( 'additive_identity', Y, T ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 156, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, 'additive_identity' ) ),
% 172.44/172.86 sum( Z, T, X ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 286, [ ~( product( a, X, Y ) ), ~( product( a, Z, T ) ), ~( sum( X
% 172.44/172.86 , Z, b ) ), sum( Y, T, aPb ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 648, [ ~( sum( 'additive_identity', X, Y ) ), =( X, Y ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 749, [ =( 'additive_inverse'( 'additive_identity' ),
% 172.44/172.86 'additive_identity' ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 976, [ sum( X, Y, Y ), ~( sum( 'additive_identity',
% 172.44/172.86 'additive_identity', X ) ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 1084, [ ~( product( a, c, X ) ), =( aPc, X ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 5668, [ ~( sum( 'additive_identity', aPb, X ) ), sum( aPc,
% 172.44/172.86 'aPb_S_IaPc', X ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 5885, [ sum( aPc, 'aPb_S_IaPc', aPb ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 5983, [ sum( 'aPb_S_IaPc', aPc, aPb ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 11712, [ ~( sum( X, 'aPb_S_IaPc', 'additive_identity' ) ), sum( X,
% 172.44/172.86 aPb, aPc ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 18180, [ sum( 'additive_inverse'( 'aPb_S_IaPc' ), aPb, aPc ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 18273, [ sum( aPb, 'additive_inverse'( 'aPb_S_IaPc' ), aPc ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 18343, [ ~( sum( X, aPb, 'aPb_S_IaPc' ) ), sum( X, aPc,
% 172.44/172.86 'additive_identity' ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 21241, [ ~( sum( aPc, X, aPb ) ), sum( 'additive_identity', X,
% 172.44/172.86 'aPb_S_IaPc' ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 22186, [ ~( sum( c, 'bS_Ic', X ) ), sum( 'additive_identity', b, X
% 172.44/172.86 ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 22343, [ sum( 'additive_identity', b, add( 'bS_Ic', c ) ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 22986, [ =( add( 'bS_Ic', c ), b ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 23062, [ sum( c, 'bS_Ic', b ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 23063, [ sum( 'bS_Ic', c, b ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 32502, [ ~( sum( 'bS_Ic', X, 'additive_identity' ) ), sum( b, X, c
% 172.44/172.86 ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 70372, [ ~( product( a, 'bS_Ic', X ) ), ~( product( a, c, Y ) ),
% 172.44/172.86 sum( X, Y, aPb ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 73380, [ sum( b, 'additive_inverse'( 'bS_Ic' ), c ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 73676, [ sum( 'additive_inverse'( 'bS_Ic' ), b, c ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 73739, [ ~( sum( 'bS_Ic', X, b ) ), sum( 'additive_identity', X, c
% 172.44/172.86 ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 74627, [ ~( sum( 'bS_Ic', X, b ) ), =( X, c ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 76421, [ product( a, X, aPc ), ~( sum( 'bS_Ic', X, b ) ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 133533, [ ~( sum( aPc, X, aPb ) ), =( X, 'aPb_S_IaPc' ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 133632, [ =( X, 'aPb_S_IaPc' ), ~( sum( X, aPc, aPb ) ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 139432, [ ~( product( a, 'bS_Ic', X ) ), ~( sum( X, aPc, aPb ) ) ]
% 172.44/172.86 )
% 172.44/172.86 .
% 172.44/172.86 clause( 140856, [ ~( product( a, 'bS_Ic', Y ) ), ~( product( a, c, X ) ) ]
% 172.44/172.86 )
% 172.44/172.86 .
% 172.44/172.86 clause( 144203, [ ~( product( a, 'bS_Ic', X ) ) ] )
% 172.44/172.86 .
% 172.44/172.86 clause( 144293, [] )
% 172.44/172.86 .
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 % SZS output end Refutation
% 172.44/172.86 found a proof!
% 172.44/172.86
% 172.44/172.86 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 172.44/172.86
% 172.44/172.86 initialclauses(
% 172.44/172.86 [ clause( 144295, [ sum( 'additive_identity', X, X ) ] )
% 172.44/172.86 , clause( 144296, [ sum( X, 'additive_identity', X ) ] )
% 172.44/172.86 , clause( 144297, [ product( X, Y, multiply( X, Y ) ) ] )
% 172.44/172.86 , clause( 144298, [ sum( X, Y, add( X, Y ) ) ] )
% 172.44/172.86 , clause( 144299, [ sum( 'additive_inverse'( X ), X, 'additive_identity' )
% 172.44/172.86 ] )
% 172.44/172.86 , clause( 144300, [ sum( X, 'additive_inverse'( X ), 'additive_identity' )
% 172.44/172.86 ] )
% 172.44/172.86 , clause( 144301, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T
% 172.44/172.86 , W ) ), sum( X, U, W ) ] )
% 172.44/172.86 , clause( 144302, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( X, U
% 172.44/172.86 , W ) ), sum( Z, T, W ) ] )
% 172.44/172.86 , clause( 144303, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 172.44/172.86 , clause( 144304, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 172.44/172.86 product( Z, T, W ) ), product( X, U, W ) ] )
% 172.44/172.86 , clause( 144305, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 172.44/172.86 product( X, U, W ) ), product( Z, T, W ) ] )
% 172.44/172.86 , clause( 144306, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~(
% 172.44/172.86 sum( Y, T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 172.44/172.86 , clause( 144307, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~(
% 172.44/172.86 sum( Y, T, W ) ), ~( sum( Z, U, V0 ) ), product( X, W, V0 ) ] )
% 172.44/172.86 , clause( 144308, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~(
% 172.44/172.86 sum( X, T, W ) ), ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ] )
% 172.44/172.86 , clause( 144309, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~(
% 172.44/172.86 sum( X, T, W ) ), ~( sum( Z, U, V0 ) ), product( W, Y, V0 ) ] )
% 172.44/172.86 , clause( 144310, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ]
% 172.44/172.86 )
% 172.44/172.86 , clause( 144311, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z
% 172.44/172.86 , T ) ] )
% 172.44/172.86 , clause( 144312, [ ~( product( X, Y, Z ) ), product( X, 'additive_inverse'(
% 172.44/172.86 Y ), 'additive_inverse'( Z ) ) ] )
% 172.44/172.86 , clause( 144313, [ ~( product( X, Y, Z ) ), product( 'additive_inverse'( X
% 172.44/172.86 ), Y, 'additive_inverse'( Z ) ) ] )
% 172.44/172.86 , clause( 144314, [ ~( product( X, Y, Z ) ), product( 'additive_inverse'( X
% 172.44/172.86 ), 'additive_inverse'( Y ), Z ) ] )
% 172.44/172.86 , clause( 144315, [ sum( b, 'additive_inverse'( c ), 'bS_Ic' ) ] )
% 172.44/172.86 , clause( 144316, [ product( a, b, aPb ) ] )
% 172.44/172.86 , clause( 144317, [ product( a, c, aPc ) ] )
% 172.44/172.86 , clause( 144318, [ sum( aPb, 'additive_inverse'( aPc ), 'aPb_S_IaPc' ) ]
% 172.44/172.86 )
% 172.44/172.86 , clause( 144319, [ ~( product( a, 'bS_Ic', 'aPb_S_IaPc' ) ) ] )
% 172.44/172.86 ] ).
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 subsumption(
% 172.44/172.86 clause( 0, [ sum( 'additive_identity', X, X ) ] )
% 172.44/172.86 , clause( 144295, [ sum( 'additive_identity', X, X ) ] )
% 172.44/172.86 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 subsumption(
% 172.44/172.86 clause( 1, [ sum( X, 'additive_identity', X ) ] )
% 172.44/172.86 , clause( 144296, [ sum( X, 'additive_identity', X ) ] )
% 172.44/172.86 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 subsumption(
% 172.44/172.86 clause( 2, [ product( X, Y, multiply( X, Y ) ) ] )
% 172.44/172.86 , clause( 144297, [ product( X, Y, multiply( X, Y ) ) ] )
% 172.44/172.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 172.44/172.86 )] ) ).
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 subsumption(
% 172.44/172.86 clause( 3, [ sum( X, Y, add( X, Y ) ) ] )
% 172.44/172.86 , clause( 144298, [ sum( X, Y, add( X, Y ) ) ] )
% 172.44/172.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 172.44/172.86 )] ) ).
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 subsumption(
% 172.44/172.86 clause( 4, [ sum( 'additive_inverse'( X ), X, 'additive_identity' ) ] )
% 172.44/172.86 , clause( 144299, [ sum( 'additive_inverse'( X ), X, 'additive_identity' )
% 172.44/172.86 ] )
% 172.44/172.86 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 subsumption(
% 172.44/172.86 clause( 5, [ sum( X, 'additive_inverse'( X ), 'additive_identity' ) ] )
% 172.44/172.86 , clause( 144300, [ sum( X, 'additive_inverse'( X ), 'additive_identity' )
% 172.44/172.86 ] )
% 172.44/172.86 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 subsumption(
% 172.44/172.86 clause( 6, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T, W ) )
% 172.44/172.86 , sum( X, U, W ) ] )
% 172.44/172.86 , clause( 144301, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T
% 172.44/172.86 , W ) ), sum( X, U, W ) ] )
% 172.44/172.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 172.44/172.86 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 172.44/172.86 , 2 ), ==>( 3, 3 )] ) ).
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 subsumption(
% 172.44/172.86 clause( 7, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( X, U, W ) )
% 172.44/172.86 , sum( Z, T, W ) ] )
% 172.44/172.86 , clause( 144302, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( X, U
% 172.44/172.86 , W ) ), sum( Z, T, W ) ] )
% 172.44/172.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 172.44/172.86 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 172.44/172.86 , 2 ), ==>( 3, 3 )] ) ).
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 subsumption(
% 172.44/172.86 clause( 8, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 172.44/172.86 , clause( 144303, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 172.44/172.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 172.44/172.86 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 subsumption(
% 172.44/172.86 clause( 11, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y,
% 172.44/172.86 T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 172.44/172.86 , clause( 144306, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~(
% 172.44/172.86 sum( Y, T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 172.44/172.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 172.44/172.86 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1
% 172.44/172.86 , 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 subsumption(
% 172.44/172.86 clause( 15, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 172.44/172.86 , clause( 144310, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ]
% 172.44/172.86 )
% 172.44/172.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 172.44/172.86 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 subsumption(
% 172.44/172.86 clause( 16, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 172.44/172.86 )
% 172.44/172.86 , clause( 144311, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z
% 172.44/172.86 , T ) ] )
% 172.44/172.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 172.44/172.86 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 subsumption(
% 172.44/172.86 clause( 20, [ sum( b, 'additive_inverse'( c ), 'bS_Ic' ) ] )
% 172.44/172.86 , clause( 144315, [ sum( b, 'additive_inverse'( c ), 'bS_Ic' ) ] )
% 172.44/172.86 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 subsumption(
% 172.44/172.86 clause( 21, [ product( a, b, aPb ) ] )
% 172.44/172.86 , clause( 144316, [ product( a, b, aPb ) ] )
% 172.44/172.86 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 subsumption(
% 172.44/172.86 clause( 22, [ product( a, c, aPc ) ] )
% 172.44/172.86 , clause( 144317, [ product( a, c, aPc ) ] )
% 172.44/172.86 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 subsumption(
% 172.44/172.86 clause( 23, [ sum( aPb, 'additive_inverse'( aPc ), 'aPb_S_IaPc' ) ] )
% 172.44/172.86 , clause( 144318, [ sum( aPb, 'additive_inverse'( aPc ), 'aPb_S_IaPc' ) ]
% 172.44/172.86 )
% 172.44/172.86 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 subsumption(
% 172.44/172.86 clause( 24, [ ~( product( a, 'bS_Ic', 'aPb_S_IaPc' ) ) ] )
% 172.44/172.86 , clause( 144319, [ ~( product( a, 'bS_Ic', 'aPb_S_IaPc' ) ) ] )
% 172.44/172.86 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 resolution(
% 172.44/172.86 clause( 144583, [ sum( Y, X, add( X, Y ) ) ] )
% 172.44/172.86 , clause( 8, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 172.44/172.86 , 0, clause( 3, [ sum( X, Y, add( X, Y ) ) ] )
% 172.44/172.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, add( X, Y ) )] ),
% 172.44/172.86 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 subsumption(
% 172.44/172.86 clause( 49, [ sum( X, Y, add( Y, X ) ) ] )
% 172.44/172.86 , clause( 144583, [ sum( Y, X, add( X, Y ) ) ] )
% 172.44/172.86 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 172.44/172.86 )] ) ).
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 resolution(
% 172.44/172.86 clause( 144584, [ sum( 'additive_inverse'( c ), b, 'bS_Ic' ) ] )
% 172.44/172.86 , clause( 8, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 172.44/172.86 , 0, clause( 20, [ sum( b, 'additive_inverse'( c ), 'bS_Ic' ) ] )
% 172.44/172.86 , 0, substitution( 0, [ :=( X, b ), :=( Y, 'additive_inverse'( c ) ), :=( Z
% 172.44/172.86 , 'bS_Ic' )] ), substitution( 1, [] )).
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 subsumption(
% 172.44/172.86 clause( 50, [ sum( 'additive_inverse'( c ), b, 'bS_Ic' ) ] )
% 172.44/172.86 , clause( 144584, [ sum( 'additive_inverse'( c ), b, 'bS_Ic' ) ] )
% 172.44/172.86 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 resolution(
% 172.44/172.86 clause( 144585, [ sum( 'additive_inverse'( aPc ), aPb, 'aPb_S_IaPc' ) ] )
% 172.44/172.86 , clause( 8, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 172.44/172.86 , 0, clause( 23, [ sum( aPb, 'additive_inverse'( aPc ), 'aPb_S_IaPc' ) ] )
% 172.44/172.86 , 0, substitution( 0, [ :=( X, aPb ), :=( Y, 'additive_inverse'( aPc ) ),
% 172.44/172.86 :=( Z, 'aPb_S_IaPc' )] ), substitution( 1, [] )).
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 subsumption(
% 172.44/172.86 clause( 51, [ sum( 'additive_inverse'( aPc ), aPb, 'aPb_S_IaPc' ) ] )
% 172.44/172.86 , clause( 144585, [ sum( 'additive_inverse'( aPc ), aPb, 'aPb_S_IaPc' ) ]
% 172.44/172.86 )
% 172.44/172.86 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 resolution(
% 172.44/172.86 clause( 144587, [ ~( sum( X, 'additive_inverse'( aPc ), Y ) ), ~( sum( Y,
% 172.44/172.86 aPb, Z ) ), sum( X, 'aPb_S_IaPc', Z ) ] )
% 172.44/172.86 , clause( 6, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T, W )
% 172.44/172.86 ), sum( X, U, W ) ] )
% 172.44/172.86 , 1, clause( 51, [ sum( 'additive_inverse'( aPc ), aPb, 'aPb_S_IaPc' ) ] )
% 172.44/172.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'additive_inverse'( aPc ) ),
% 172.44/172.86 :=( Z, Y ), :=( T, aPb ), :=( U, 'aPb_S_IaPc' ), :=( W, Z )] ),
% 172.44/172.86 substitution( 1, [] )).
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 subsumption(
% 172.44/172.86 clause( 59, [ ~( sum( X, 'additive_inverse'( aPc ), Y ) ), ~( sum( Y, aPb,
% 172.44/172.86 Z ) ), sum( X, 'aPb_S_IaPc', Z ) ] )
% 172.44/172.86 , clause( 144587, [ ~( sum( X, 'additive_inverse'( aPc ), Y ) ), ~( sum( Y
% 172.44/172.86 , aPb, Z ) ), sum( X, 'aPb_S_IaPc', Z ) ] )
% 172.44/172.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 172.44/172.86 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 resolution(
% 172.44/172.86 clause( 144590, [ ~( sum( X, Y, Z ) ), ~( sum( 'additive_identity', Y, T )
% 172.44/172.86 ), sum( 'additive_inverse'( X ), Z, T ) ] )
% 172.44/172.86 , clause( 6, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T, W )
% 172.44/172.86 ), sum( X, U, W ) ] )
% 172.44/172.86 , 0, clause( 4, [ sum( 'additive_inverse'( X ), X, 'additive_identity' ) ]
% 172.44/172.86 )
% 172.44/172.86 , 0, substitution( 0, [ :=( X, 'additive_inverse'( X ) ), :=( Y, X ), :=( Z
% 172.44/172.86 , 'additive_identity' ), :=( T, Y ), :=( U, Z ), :=( W, T )] ),
% 172.44/172.86 substitution( 1, [ :=( X, X )] )).
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 subsumption(
% 172.44/172.86 clause( 77, [ ~( sum( X, Y, Z ) ), ~( sum( 'additive_identity', Y, T ) ),
% 172.44/172.86 sum( 'additive_inverse'( X ), Z, T ) ] )
% 172.44/172.86 , clause( 144590, [ ~( sum( X, Y, Z ) ), ~( sum( 'additive_identity', Y, T
% 172.44/172.86 ) ), sum( 'additive_inverse'( X ), Z, T ) ] )
% 172.44/172.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 172.44/172.86 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 resolution(
% 172.44/172.86 clause( 144597, [ ~( sum( X, Y, Z ) ), ~( sum( Y, 'additive_inverse'( Z ),
% 172.44/172.86 T ) ), sum( X, T, 'additive_identity' ) ] )
% 172.44/172.86 , clause( 6, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T, W )
% 172.44/172.86 ), sum( X, U, W ) ] )
% 172.44/172.86 , 2, clause( 5, [ sum( X, 'additive_inverse'( X ), 'additive_identity' ) ]
% 172.44/172.86 )
% 172.44/172.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T,
% 172.44/172.86 'additive_inverse'( Z ) ), :=( U, T ), :=( W, 'additive_identity' )] ),
% 172.44/172.86 substitution( 1, [ :=( X, Z )] )).
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 subsumption(
% 172.44/172.86 clause( 82, [ ~( sum( X, Y, Z ) ), ~( sum( Y, 'additive_inverse'( Z ), T )
% 172.44/172.86 ), sum( X, T, 'additive_identity' ) ] )
% 172.44/172.86 , clause( 144597, [ ~( sum( X, Y, Z ) ), ~( sum( Y, 'additive_inverse'( Z )
% 172.44/172.86 , T ) ), sum( X, T, 'additive_identity' ) ] )
% 172.44/172.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 172.44/172.86 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 resolution(
% 172.44/172.86 clause( 144601, [ ~( sum( X, Y, 'additive_identity' ) ), ~( sum( Y, Z, T )
% 172.44/172.86 ), sum( X, T, Z ) ] )
% 172.44/172.86 , clause( 6, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T, W )
% 172.44/172.86 ), sum( X, U, W ) ] )
% 172.44/172.86 , 2, clause( 0, [ sum( 'additive_identity', X, X ) ] )
% 172.44/172.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, 'additive_identity'
% 172.44/172.86 ), :=( T, Z ), :=( U, T ), :=( W, Z )] ), substitution( 1, [ :=( X, Z )] )
% 172.44/172.86 ).
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 subsumption(
% 172.44/172.86 clause( 85, [ ~( sum( X, Y, 'additive_identity' ) ), ~( sum( Y, Z, T ) ),
% 172.44/172.86 sum( X, T, Z ) ] )
% 172.44/172.86 , clause( 144601, [ ~( sum( X, Y, 'additive_identity' ) ), ~( sum( Y, Z, T
% 172.44/172.86 ) ), sum( X, T, Z ) ] )
% 172.44/172.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 172.44/172.86 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 factor(
% 172.44/172.86 clause( 144605, [ ~( sum( 'additive_identity', X, Y ) ), sum(
% 172.44/172.86 'additive_inverse'( 'additive_identity' ), Y, Y ) ] )
% 172.44/172.86 , clause( 77, [ ~( sum( X, Y, Z ) ), ~( sum( 'additive_identity', Y, T ) )
% 172.44/172.86 , sum( 'additive_inverse'( X ), Z, T ) ] )
% 172.44/172.86 , 0, 1, substitution( 0, [ :=( X, 'additive_identity' ), :=( Y, X ), :=( Z
% 172.44/172.86 , Y ), :=( T, Y )] )).
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 subsumption(
% 172.44/172.86 clause( 89, [ ~( sum( 'additive_identity', X, Y ) ), sum(
% 172.44/172.86 'additive_inverse'( 'additive_identity' ), Y, Y ) ] )
% 172.44/172.86 , clause( 144605, [ ~( sum( 'additive_identity', X, Y ) ), sum(
% 172.44/172.86 'additive_inverse'( 'additive_identity' ), Y, Y ) ] )
% 172.44/172.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 172.44/172.86 ), ==>( 1, 1 )] ) ).
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 resolution(
% 172.44/172.86 clause( 144606, [ sum( 'additive_inverse'( 'additive_identity' ), X, X ) ]
% 172.44/172.86 )
% 172.44/172.86 , clause( 89, [ ~( sum( 'additive_identity', X, Y ) ), sum(
% 172.44/172.86 'additive_inverse'( 'additive_identity' ), Y, Y ) ] )
% 172.44/172.86 , 0, clause( 0, [ sum( 'additive_identity', X, X ) ] )
% 172.44/172.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [ :=( X
% 172.44/172.86 , X )] )).
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 subsumption(
% 172.44/172.86 clause( 100, [ sum( 'additive_inverse'( 'additive_identity' ), X, X ) ] )
% 172.44/172.86 , clause( 144606, [ sum( 'additive_inverse'( 'additive_identity' ), X, X )
% 172.44/172.86 ] )
% 172.44/172.86 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 resolution(
% 172.44/172.86 clause( 144607, [ sum( X, 'additive_inverse'( 'additive_identity' ), X ) ]
% 172.44/172.86 )
% 172.44/172.86 , clause( 8, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 172.44/172.86 , 0, clause( 100, [ sum( 'additive_inverse'( 'additive_identity' ), X, X )
% 172.44/172.86 ] )
% 172.44/172.86 , 0, substitution( 0, [ :=( X, 'additive_inverse'( 'additive_identity' ) )
% 172.44/172.86 , :=( Y, X ), :=( Z, X )] ), substitution( 1, [ :=( X, X )] )).
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 subsumption(
% 172.44/172.86 clause( 104, [ sum( X, 'additive_inverse'( 'additive_identity' ), X ) ] )
% 172.44/172.86 , clause( 144607, [ sum( X, 'additive_inverse'( 'additive_identity' ), X )
% 172.44/172.86 ] )
% 172.44/172.86 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 resolution(
% 172.44/172.86 clause( 144610, [ ~( sum( 'additive_inverse'( aPc ), X, Y ) ), ~( sum( X, Z
% 172.44/172.86 , aPb ) ), sum( Y, Z, 'aPb_S_IaPc' ) ] )
% 172.44/172.86 , clause( 7, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( X, U, W )
% 172.44/172.86 ), sum( Z, T, W ) ] )
% 172.44/172.86 , 2, clause( 51, [ sum( 'additive_inverse'( aPc ), aPb, 'aPb_S_IaPc' ) ] )
% 172.44/172.86 , 0, substitution( 0, [ :=( X, 'additive_inverse'( aPc ) ), :=( Y, X ),
% 172.44/172.86 :=( Z, Y ), :=( T, Z ), :=( U, aPb ), :=( W, 'aPb_S_IaPc' )] ),
% 172.44/172.86 substitution( 1, [] )).
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 subsumption(
% 172.44/172.86 clause( 128, [ ~( sum( 'additive_inverse'( aPc ), X, Y ) ), ~( sum( X, Z,
% 172.44/172.86 aPb ) ), sum( Y, Z, 'aPb_S_IaPc' ) ] )
% 172.44/172.86 , clause( 144610, [ ~( sum( 'additive_inverse'( aPc ), X, Y ) ), ~( sum( X
% 172.44/172.86 , Z, aPb ) ), sum( Y, Z, 'aPb_S_IaPc' ) ] )
% 172.44/172.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 172.44/172.86 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 resolution(
% 172.44/172.86 clause( 144613, [ ~( sum( X, 'additive_inverse'( c ), Y ) ), ~( sum( X,
% 172.44/172.86 'bS_Ic', Z ) ), sum( Y, b, Z ) ] )
% 172.44/172.86 , clause( 7, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( X, U, W )
% 172.44/172.86 ), sum( Z, T, W ) ] )
% 172.44/172.86 , 1, clause( 50, [ sum( 'additive_inverse'( c ), b, 'bS_Ic' ) ] )
% 172.44/172.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'additive_inverse'( c ) ), :=( Z
% 172.44/172.86 , Y ), :=( T, b ), :=( U, 'bS_Ic' ), :=( W, Z )] ), substitution( 1, [] )
% 172.44/172.86 ).
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 subsumption(
% 172.44/172.86 clause( 130, [ ~( sum( X, 'additive_inverse'( c ), Y ) ), ~( sum( X,
% 172.44/172.86 'bS_Ic', Z ) ), sum( Y, b, Z ) ] )
% 172.44/172.86 , clause( 144613, [ ~( sum( X, 'additive_inverse'( c ), Y ) ), ~( sum( X,
% 172.44/172.86 'bS_Ic', Z ) ), sum( Y, b, Z ) ] )
% 172.44/172.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 172.44/172.86 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 resolution(
% 172.44/172.86 clause( 144616, [ ~( sum( X, Y, Z ) ), ~( sum( 'additive_inverse'( X ), Z,
% 172.44/172.86 T ) ), sum( 'additive_identity', Y, T ) ] )
% 172.44/172.86 , clause( 7, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( X, U, W )
% 172.44/172.86 ), sum( Z, T, W ) ] )
% 172.44/172.86 , 0, clause( 4, [ sum( 'additive_inverse'( X ), X, 'additive_identity' ) ]
% 172.44/172.86 )
% 172.44/172.86 , 0, substitution( 0, [ :=( X, 'additive_inverse'( X ) ), :=( Y, X ), :=( Z
% 172.44/172.86 , 'additive_identity' ), :=( T, Y ), :=( U, Z ), :=( W, T )] ),
% 172.44/172.86 substitution( 1, [ :=( X, X )] )).
% 172.44/172.86
% 172.44/172.86
% 172.44/172.86 subsumption(
% 172.44/172.86 clause( 145, [ ~( sum( X, Y, Z ) ), ~( sum( 'additive_inverse'( X ), Z, T )
% 172.44/172.86 ), sum( 'additive_identity', Y, T ) ] )
% 172.44/172.86 , clause( 144616, [ ~( sum( X, Y, Z ) ), ~( sum( 'additive_inverse'( X ), Z
% 172.44/172.86 , T ) ), sum( 'additive_identity', Y, T ) ] )
% 172.44/172.86 , substitution(Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------