TSTP Solution File: RNG005-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : RNG005-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.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 28.04s 28.51s
% Output : Refutation 28.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09 % Problem : RNG005-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.09 % Command : bliksem %s
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % DateTime : Mon May 30 05:46:42 EDT 2022
% 0.08/0.28 % CPUTime :
% 28.04/28.50 *** allocated 10000 integers for termspace/termends
% 28.04/28.50 *** allocated 10000 integers for clauses
% 28.04/28.50 *** allocated 10000 integers for justifications
% 28.04/28.50 Bliksem 1.12
% 28.04/28.50
% 28.04/28.50
% 28.04/28.50 Automatic Strategy Selection
% 28.04/28.50
% 28.04/28.50 Clauses:
% 28.04/28.50 [
% 28.04/28.50 [ sum( 'additive_identity', X, X ) ],
% 28.04/28.50 [ sum( X, 'additive_identity', X ) ],
% 28.04/28.50 [ product( X, Y, multiply( X, Y ) ) ],
% 28.04/28.50 [ sum( X, Y, add( X, Y ) ) ],
% 28.04/28.50 [ sum( 'additive_inverse'( X ), X, 'additive_identity' ) ],
% 28.04/28.50 [ sum( X, 'additive_inverse'( X ), 'additive_identity' ) ],
% 28.04/28.50 [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T, W ) ), sum( X
% 28.04/28.50 , U, W ) ],
% 28.04/28.50 [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( X, U, W ) ), sum( Z
% 28.04/28.50 , T, W ) ],
% 28.04/28.50 [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ],
% 28.04/28.50 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( Z, T, W
% 28.04/28.50 ) ), product( X, U, W ) ],
% 28.04/28.50 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( X, U, W
% 28.04/28.50 ) ), product( Z, T, W ) ],
% 28.04/28.50 [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T, W ) )
% 28.04/28.50 , ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ],
% 28.04/28.50 [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T, W ) )
% 28.04/28.50 , ~( sum( Z, U, V0 ) ), product( X, W, V0 ) ],
% 28.04/28.50 [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X, T, W ) )
% 28.04/28.50 , ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ],
% 28.04/28.50 [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X, T, W ) )
% 28.04/28.50 , ~( sum( Z, U, V0 ) ), product( W, Y, V0 ) ],
% 28.04/28.50 [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ],
% 28.04/28.50 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 28.04/28.50 [ product( a, b, d ) ],
% 28.04/28.50 [ product( 'additive_inverse'( a ), b, c ) ],
% 28.04/28.50 [ ~( sum( c, d, 'additive_identity' ) ) ]
% 28.04/28.50 ] .
% 28.04/28.50
% 28.04/28.50
% 28.04/28.50 percentage equality = 0.037736, percentage horn = 1.000000
% 28.04/28.50 This is a problem with some equality
% 28.04/28.50
% 28.04/28.50
% 28.04/28.50
% 28.04/28.50 Options Used:
% 28.04/28.50
% 28.04/28.50 useres = 1
% 28.04/28.50 useparamod = 1
% 28.04/28.50 useeqrefl = 1
% 28.04/28.50 useeqfact = 1
% 28.04/28.50 usefactor = 1
% 28.04/28.50 usesimpsplitting = 0
% 28.04/28.50 usesimpdemod = 5
% 28.04/28.50 usesimpres = 3
% 28.04/28.50
% 28.04/28.50 resimpinuse = 1000
% 28.04/28.50 resimpclauses = 20000
% 28.04/28.50 substype = eqrewr
% 28.04/28.50 backwardsubs = 1
% 28.04/28.50 selectoldest = 5
% 28.04/28.50
% 28.04/28.50 litorderings [0] = split
% 28.04/28.50 litorderings [1] = extend the termordering, first sorting on arguments
% 28.04/28.50
% 28.04/28.50 termordering = kbo
% 28.04/28.50
% 28.04/28.50 litapriori = 0
% 28.04/28.50 termapriori = 1
% 28.04/28.50 litaposteriori = 0
% 28.04/28.50 termaposteriori = 0
% 28.04/28.50 demodaposteriori = 0
% 28.04/28.50 ordereqreflfact = 0
% 28.04/28.50
% 28.04/28.50 litselect = negord
% 28.04/28.50
% 28.04/28.50 maxweight = 15
% 28.04/28.50 maxdepth = 30000
% 28.04/28.50 maxlength = 115
% 28.04/28.50 maxnrvars = 195
% 28.04/28.50 excuselevel = 1
% 28.04/28.50 increasemaxweight = 1
% 28.04/28.50
% 28.04/28.50 maxselected = 10000000
% 28.04/28.50 maxnrclauses = 10000000
% 28.04/28.50
% 28.04/28.50 showgenerated = 0
% 28.04/28.50 showkept = 0
% 28.04/28.50 showselected = 0
% 28.04/28.50 showdeleted = 0
% 28.04/28.50 showresimp = 1
% 28.04/28.50 showstatus = 2000
% 28.04/28.50
% 28.04/28.50 prologoutput = 1
% 28.04/28.50 nrgoals = 5000000
% 28.04/28.50 totalproof = 1
% 28.04/28.50
% 28.04/28.50 Symbols occurring in the translation:
% 28.04/28.50
% 28.04/28.50 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 28.04/28.50 . [1, 2] (w:1, o:30, a:1, s:1, b:0),
% 28.04/28.50 ! [4, 1] (w:0, o:24, a:1, s:1, b:0),
% 28.04/28.50 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 28.04/28.50 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 28.04/28.50 'additive_identity' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 28.04/28.50 sum [41, 3] (w:1, o:57, a:1, s:1, b:0),
% 28.04/28.50 multiply [43, 2] (w:1, o:55, a:1, s:1, b:0),
% 28.04/28.50 product [44, 3] (w:1, o:58, a:1, s:1, b:0),
% 28.04/28.50 add [45, 2] (w:1, o:56, a:1, s:1, b:0),
% 28.04/28.50 'additive_inverse' [46, 1] (w:1, o:29, a:1, s:1, b:0),
% 28.04/28.50 a [55, 0] (w:1, o:20, a:1, s:1, b:0),
% 28.04/28.50 b [56, 0] (w:1, o:21, a:1, s:1, b:0),
% 28.04/28.50 d [57, 0] (w:1, o:23, a:1, s:1, b:0),
% 28.04/28.50 c [58, 0] (w:1, o:22, a:1, s:1, b:0).
% 28.04/28.50
% 28.04/28.50
% 28.04/28.50 Starting Search:
% 28.04/28.50
% 28.04/28.50 Resimplifying inuse:
% 28.04/28.50 Done
% 28.04/28.50
% 28.04/28.50
% 28.04/28.50 Intermediate Status:
% 28.04/28.50 Generated: 8939
% 28.04/28.50 Kept: 2005
% 28.04/28.50 Inuse: 115
% 28.04/28.50 Deleted: 28
% 28.04/28.50 Deletedinuse: 15
% 28.04/28.50
% 28.04/28.50 Resimplifying inuse:
% 28.04/28.50 Done
% 28.04/28.50
% 28.04/28.50 Resimplifying inuse:
% 28.04/28.50 Done
% 28.04/28.50
% 28.04/28.50
% 28.04/28.50 Intermediate Status:
% 28.04/28.50 Generated: 18575
% 28.04/28.50 Kept: 4031
% 28.04/28.50 Inuse: 205
% 28.04/28.50 Deleted: 54
% 28.04/28.50 Deletedinuse: 36
% 28.04/28.50
% 28.04/28.50 Resimplifying inuse:
% 28.04/28.50 Done
% 28.04/28.50
% 28.04/28.50 Resimplifying inuse:
% 28.04/28.50 Done
% 28.04/28.50
% 28.04/28.50
% 28.04/28.50 Intermediate Status:
% 28.04/28.50 Generated: 25785
% 28.04/28.50 Kept: 6055
% 28.04/28.50 Inuse: 259
% 28.04/28.50 Deleted: 75
% 28.04/28.50 Deletedinuse: 57
% 28.04/28.50
% 28.04/28.50 Resimplifying inuse:
% 28.04/28.50 Done
% 28.04/28.50
% 28.04/28.50 Resimplifying inuse:
% 28.04/28.50 Done
% 28.04/28.50
% 28.04/28.50
% 28.04/28.50 Intermediate Status:
% 28.04/28.50 Generated: 36051
% 28.04/28.50 Kept: 8075
% 28.04/28.50 Inuse: 321
% 28.04/28.50 Deleted: 93
% 28.04/28.50 Deletedinuse: 57
% 28.04/28.50
% 28.04/28.50 Resimplifying inuse:
% 28.04/28.50 Done
% 28.04/28.50
% 28.04/28.50 Resimplifying inuse:
% 28.04/28.50 Done
% 28.04/28.50
% 28.04/28.50
% 28.04/28.50 Intermediate Status:
% 28.04/28.50 Generated: 49646
% 28.04/28.50 Kept: 10080
% 28.04/28.50 Inuse: 379
% 28.04/28.50 Deleted: 111
% 28.04/28.50 Deletedinuse: 57
% 28.04/28.50
% 28.04/28.50 Resimplifying inuse:
% 28.04/28.50 Done
% 28.04/28.50
% 28.04/28.50 Resimplifying inuse:
% 28.04/28.50 Done
% 28.04/28.50
% 28.04/28.50
% 28.04/28.50 Intermediate Status:
% 28.04/28.50 Generated: 59612
% 28.04/28.50 Kept: 12101
% 28.04/28.50 Inuse: 416
% 28.04/28.50 Deleted: 117
% 28.04/28.50 Deletedinuse: 57
% 28.04/28.50
% 28.04/28.50 Resimplifying inuse:
% 28.04/28.50 Done
% 28.04/28.50
% 28.04/28.50 Resimplifying inuse:
% 28.04/28.50 Done
% 28.04/28.50
% 28.04/28.50
% 28.04/28.50 Intermediate Status:
% 28.04/28.50 Generated: 69013
% 28.04/28.50 Kept: 14142
% 28.04/28.50 Inuse: 449
% 28.04/28.50 Deleted: 121
% 28.04/28.50 Deletedinuse: 57
% 28.04/28.50
% 28.04/28.50 Resimplifying inuse:
% 28.04/28.50 Done
% 28.04/28.50
% 28.04/28.50 Resimplifying inuse:
% 28.04/28.50 Done
% 28.04/28.50
% 28.04/28.50
% 28.04/28.50 Intermediate Status:
% 28.04/28.50 Generated: 81696
% 28.04/28.50 Kept: 16164
% 28.04/28.50 Inuse: 508
% 28.04/28.50 Deleted: 160
% 28.04/28.50 Deletedinuse: 58
% 28.04/28.50
% 28.04/28.50 Resimplifying inuse:
% 28.04/28.50 Done
% 28.04/28.50
% 28.04/28.50 Resimplifying inuse:
% 28.04/28.50 Done
% 28.04/28.50
% 28.04/28.50
% 28.04/28.50 Intermediate Status:
% 28.04/28.50 Generated: 92917
% 28.04/28.50 Kept: 18187
% 28.04/28.50 Inuse: 559
% 28.04/28.50 Deleted: 173
% 28.04/28.50 Deletedinuse: 62
% 28.04/28.50
% 28.04/28.50 Resimplifying inuse:
% 28.04/28.50 Done
% 28.04/28.50
% 28.04/28.50 Resimplifying inuse:
% 28.04/28.50 Done
% 28.04/28.50
% 28.04/28.50 Resimplifying clauses:
% 28.04/28.50 Done
% 28.04/28.51
% 28.04/28.51
% 28.04/28.51 Intermediate Status:
% 28.04/28.51 Generated: 107658
% 28.04/28.51 Kept: 20204
% 28.04/28.51 Inuse: 612
% 28.04/28.51 Deleted: 6099
% 28.04/28.51 Deletedinuse: 152
% 28.04/28.51
% 28.04/28.51 Resimplifying inuse:
% 28.04/28.51 Done
% 28.04/28.51
% 28.04/28.51 Resimplifying inuse:
% 28.04/28.51 Done
% 28.04/28.51
% 28.04/28.51
% 28.04/28.51 Intermediate Status:
% 28.04/28.51 Generated: 120723
% 28.04/28.51 Kept: 22232
% 28.04/28.51 Inuse: 658
% 28.04/28.51 Deleted: 6102
% 28.04/28.51 Deletedinuse: 153
% 28.04/28.51
% 28.04/28.51 Resimplifying inuse:
% 28.04/28.51 Done
% 28.04/28.51
% 28.04/28.51 Resimplifying inuse:
% 28.04/28.51 Done
% 28.04/28.51
% 28.04/28.51
% 28.04/28.51 Intermediate Status:
% 28.04/28.51 Generated: 149321
% 28.04/28.51 Kept: 24253
% 28.04/28.51 Inuse: 722
% 28.04/28.51 Deleted: 6105
% 28.04/28.51 Deletedinuse: 154
% 28.04/28.51
% 28.04/28.51 Resimplifying inuse:
% 28.04/28.51 Done
% 28.04/28.51
% 28.04/28.51 Resimplifying inuse:
% 28.04/28.51 Done
% 28.04/28.51
% 28.04/28.51
% 28.04/28.51 Intermediate Status:
% 28.04/28.51 Generated: 174000
% 28.04/28.51 Kept: 26266
% 28.04/28.51 Inuse: 784
% 28.04/28.51 Deleted: 6105
% 28.04/28.51 Deletedinuse: 154
% 28.04/28.51
% 28.04/28.51 Resimplifying inuse:
% 28.04/28.51 Done
% 28.04/28.51
% 28.04/28.51 Resimplifying inuse:
% 28.04/28.51 Done
% 28.04/28.51
% 28.04/28.51
% 28.04/28.51 Intermediate Status:
% 28.04/28.51 Generated: 190734
% 28.04/28.51 Kept: 28270
% 28.04/28.51 Inuse: 840
% 28.04/28.51 Deleted: 6112
% 28.04/28.51 Deletedinuse: 160
% 28.04/28.51
% 28.04/28.51 Resimplifying inuse:
% 28.04/28.51 Done
% 28.04/28.51
% 28.04/28.51
% 28.04/28.51 Intermediate Status:
% 28.04/28.51 Generated: 213742
% 28.04/28.51 Kept: 30270
% 28.04/28.51 Inuse: 881
% 28.04/28.51 Deleted: 6113
% 28.04/28.51 Deletedinuse: 161
% 28.04/28.51
% 28.04/28.51 Resimplifying inuse:
% 28.04/28.51 Done
% 28.04/28.51
% 28.04/28.51 Resimplifying inuse:
% 28.04/28.51 Done
% 28.04/28.51
% 28.04/28.51
% 28.04/28.51 Intermediate Status:
% 28.04/28.51 Generated: 235972
% 28.04/28.51 Kept: 32280
% 28.04/28.51 Inuse: 931
% 28.04/28.51 Deleted: 6113
% 28.04/28.51 Deletedinuse: 161
% 28.04/28.51
% 28.04/28.51 Resimplifying inuse:
% 28.04/28.51 Done
% 28.04/28.51
% 28.04/28.51 Resimplifying inuse:
% 28.04/28.51 Done
% 28.04/28.51
% 28.04/28.51
% 28.04/28.51 Intermediate Status:
% 28.04/28.51 Generated: 250995
% 28.04/28.51 Kept: 34499
% 28.04/28.51 Inuse: 943
% 28.04/28.51 Deleted: 6113
% 28.04/28.51 Deletedinuse: 161
% 28.04/28.51
% 28.04/28.51 Resimplifying inuse:
% 28.04/28.51 Done
% 28.04/28.51
% 28.04/28.51 Resimplifying inuse:
% 28.04/28.51 Done
% 28.04/28.51
% 28.04/28.51
% 28.04/28.51 Intermediate Status:
% 28.04/28.51 Generated: 266201
% 28.04/28.51 Kept: 37805
% 28.04/28.51 Inuse: 949
% 28.04/28.51 Deleted: 6113
% 28.04/28.51 Deletedinuse: 161
% 28.04/28.51
% 28.04/28.51 Resimplifying inuse:
% 28.04/28.51 Done
% 28.04/28.51
% 28.04/28.51 Resimplifying inuse:
% 28.04/28.51 Done
% 28.04/28.51
% 28.04/28.51
% 28.04/28.51 Intermediate Status:
% 28.04/28.51 Generated: 283280
% 28.04/28.51 Kept: 39838
% 28.04/28.51 Inuse: 987
% 28.04/28.51 Deleted: 6113
% 28.04/28.51 Deletedinuse: 161
% 28.04/28.51
% 28.04/28.51 Resimplifying inuse:
% 28.04/28.51 Done
% 28.04/28.51
% 28.04/28.51 Resimplifying clauses:
% 28.04/28.51 Done
% 28.04/28.51
% 28.04/28.51 Resimplifying inuse:
% 28.04/28.51 Done
% 28.04/28.51
% 28.04/28.51
% 28.04/28.51 Intermediate Status:
% 28.04/28.51 Generated: 307370
% 28.04/28.51 Kept: 41877
% 28.04/28.51 Inuse: 1032
% 28.04/28.51 Deleted: 7379
% 28.04/28.51 Deletedinuse: 161
% 28.04/28.51
% 28.04/28.51 Resimplifying inuse:
% 28.04/28.51 Done
% 28.04/28.51
% 28.04/28.51 Resimplifying inuse:
% 28.04/28.51 Done
% 28.04/28.51
% 28.04/28.51
% 28.04/28.51 Intermediate Status:
% 28.04/28.51 Generated: 327474
% 28.04/28.51 Kept: 43915
% 28.04/28.51 Inuse: 1059
% 28.04/28.51 Deleted: 7380
% 28.04/28.51 Deletedinuse: 162
% 28.04/28.51
% 28.04/28.51 Resimplifying inuse:
% 28.04/28.51 Done
% 28.04/28.51
% 28.04/28.51 Resimplifying inuse:
% 28.04/28.51 Done
% 28.04/28.51
% 28.04/28.51
% 28.04/28.51 Intermediate Status:
% 28.04/28.51 Generated: 363306
% 28.04/28.51 Kept: 45931
% 28.04/28.51 Inuse: 1094
% 28.04/28.51 Deleted: 7380
% 28.04/28.51 Deletedinuse: 162
% 28.04/28.51
% 28.04/28.51 Resimplifying inuse:
% 28.04/28.51 Done
% 28.04/28.51
% 28.04/28.51 Resimplifying inuse:
% 28.04/28.51 Done
% 28.04/28.51
% 28.04/28.51
% 28.04/28.51 Intermediate Status:
% 28.04/28.51 Generated: 406201
% 28.04/28.51 Kept: 47948
% 28.04/28.51 Inuse: 1137
% 28.04/28.51 Deleted: 7380
% 28.04/28.51 Deletedinuse: 162
% 28.04/28.51
% 28.04/28.51 Resimplifying inuse:
% 28.04/28.51 Done
% 28.04/28.51
% 28.04/28.51 Resimplifying inuse:
% 28.04/28.51 Done
% 28.04/28.51
% 28.04/28.51
% 28.04/28.51 Intermediate Status:
% 28.04/28.51 Generated: 439604
% 28.04/28.51 Kept: 49973
% 28.04/28.51 Inuse: 1175
% 28.04/28.51 Deleted: 7380
% 28.04/28.51 Deletedinuse: 162
% 28.04/28.51
% 28.04/28.51 Resimplifying inuse:
% 28.04/28.51 Done
% 28.04/28.51
% 28.04/28.51
% 28.04/28.51 Bliksems!, er is een bewijs:
% 28.04/28.51 % SZS status Unsatisfiable
% 28.04/28.51 % SZS output start Refutation
% 28.04/28.51
% 28.04/28.51 clause( 0, [ sum( 'additive_identity', X, X ) ] )
% 28.04/28.51 .
% 28.04/28.51 clause( 1, [ sum( X, 'additive_identity', X ) ] )
% 28.04/28.51 .
% 28.04/28.51 clause( 2, [ product( X, Y, multiply( X, Y ) ) ] )
% 28.04/28.51 .
% 28.04/28.51 clause( 4, [ sum( 'additive_inverse'( X ), X, 'additive_identity' ) ] )
% 28.04/28.51 .
% 28.04/28.51 clause( 5, [ sum( X, 'additive_inverse'( X ), 'additive_identity' ) ] )
% 28.04/28.51 .
% 28.04/28.51 clause( 6, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T, W ) )
% 28.04/28.51 , sum( X, U, W ) ] )
% 28.04/28.51 .
% 28.04/28.51 clause( 13, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X,
% 28.04/28.51 T, W ) ), ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ] )
% 28.04/28.51 .
% 28.04/28.51 clause( 15, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 28.04/28.51 .
% 28.04/28.51 clause( 16, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 28.04/28.51 )
% 28.04/28.51 .
% 28.04/28.51 clause( 17, [ product( a, b, d ) ] )
% 28.04/28.51 .
% 28.04/28.51 clause( 18, [ product( 'additive_inverse'( a ), b, c ) ] )
% 28.04/28.51 .
% 28.04/28.51 clause( 19, [ ~( sum( c, d, 'additive_identity' ) ) ] )
% 28.04/28.51 .
% 28.04/28.51 clause( 21, [ ~( sum( X, Y, Y ) ), ~( sum( Y, Z, T ) ), sum( X, T, T ) ] )
% 28.04/28.51 .
% 28.04/28.51 clause( 328, [ ~( product( 'additive_inverse'( X ), Y, Z ) ), ~( product( X
% 28.04/28.51 , Y, T ) ), ~( product( 'additive_identity', Y, U ) ), sum( Z, T, U ) ]
% 28.04/28.51 )
% 28.04/28.51 .
% 28.04/28.51 clause( 338, [ ~( product( X, Y, Z ) ), ~( product( 'additive_identity', Y
% 28.04/28.51 , T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 28.04/28.51 .
% 28.04/28.51 clause( 341, [ ~( product( 'additive_identity', X, Y ) ), ~( product(
% 28.04/28.51 'additive_identity', X, Z ) ), sum( Y, Z, Z ) ] )
% 28.04/28.51 .
% 28.04/28.51 clause( 342, [ ~( product( 'additive_identity', X, Y ) ), sum( Y, Y, Y ) ]
% 28.04/28.51 )
% 28.04/28.51 .
% 28.04/28.51 clause( 357, [ sum( multiply( 'additive_identity', X ), multiply(
% 28.04/28.51 'additive_identity', X ), multiply( 'additive_identity', X ) ) ] )
% 28.04/28.51 .
% 28.04/28.51 clause( 447, [ ~( sum( 'additive_identity', X, Y ) ), =( X, Y ) ] )
% 28.04/28.51 .
% 28.04/28.51 clause( 448, [ ~( sum( X, 'additive_identity', Y ) ), =( X, Y ) ] )
% 28.04/28.51 .
% 28.04/28.51 clause( 614, [ product( a, X, d ), ~( sum( 'additive_identity', X, b ) ) ]
% 28.04/28.51 )
% 28.04/28.51 .
% 28.04/28.51 clause( 646, [ ~( product( a, b, X ) ), =( d, X ) ] )
% 28.04/28.51 .
% 28.04/28.51 clause( 871, [ ~( sum( c, X, 'additive_identity' ) ), ~( product( a, b, X )
% 28.04/28.51 ) ] )
% 28.04/28.51 .
% 28.04/28.51 clause( 928, [ ~( sum( X, Y, Y ) ), sum( X, 'additive_identity',
% 28.04/28.51 'additive_identity' ) ] )
% 28.04/28.51 .
% 28.04/28.51 clause( 940, [ sum( multiply( 'additive_identity', X ), 'additive_identity'
% 28.04/28.51 , 'additive_identity' ) ] )
% 28.04/28.51 .
% 28.04/28.51 clause( 950, [ =( multiply( 'additive_identity', X ), 'additive_identity' )
% 28.04/28.51 ] )
% 28.04/28.51 .
% 28.04/28.51 clause( 965, [ product( 'additive_identity', X, 'additive_identity' ) ] )
% 28.04/28.51 .
% 28.04/28.51 clause( 50280, [ ~( product( 'additive_inverse'( X ), Y, c ) ), ~( product(
% 28.04/28.51 X, Y, Z ) ), ~( product( a, b, Z ) ) ] )
% 28.04/28.51 .
% 28.04/28.51 clause( 50350, [ ~( product( a, b, X ) ) ] )
% 28.04/28.51 .
% 28.04/28.51 clause( 50363, [] )
% 28.04/28.51 .
% 28.04/28.51
% 28.04/28.51
% 28.04/28.51 % SZS output end Refutation
% 28.04/28.51 found a proof!
% 28.04/28.51
% 28.04/28.51 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 28.04/28.51
% 28.04/28.51 initialclauses(
% 28.04/28.51 [ clause( 50365, [ sum( 'additive_identity', X, X ) ] )
% 28.04/28.51 , clause( 50366, [ sum( X, 'additive_identity', X ) ] )
% 28.04/28.51 , clause( 50367, [ product( X, Y, multiply( X, Y ) ) ] )
% 28.04/28.51 , clause( 50368, [ sum( X, Y, add( X, Y ) ) ] )
% 28.04/28.51 , clause( 50369, [ sum( 'additive_inverse'( X ), X, 'additive_identity' ) ]
% 28.04/28.51 )
% 28.04/28.51 , clause( 50370, [ sum( X, 'additive_inverse'( X ), 'additive_identity' ) ]
% 28.04/28.51 )
% 28.04/28.51 , clause( 50371, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T,
% 28.04/28.51 W ) ), sum( X, U, W ) ] )
% 28.04/28.51 , clause( 50372, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( X, U,
% 28.04/28.51 W ) ), sum( Z, T, W ) ] )
% 28.04/28.51 , clause( 50373, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 28.04/28.51 , clause( 50374, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 28.04/28.51 product( Z, T, W ) ), product( X, U, W ) ] )
% 28.04/28.51 , clause( 50375, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 28.04/28.51 product( X, U, W ) ), product( Z, T, W ) ] )
% 28.04/28.51 , clause( 50376, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 28.04/28.51 Y, T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 28.04/28.51 , clause( 50377, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 28.04/28.51 Y, T, W ) ), ~( sum( Z, U, V0 ) ), product( X, W, V0 ) ] )
% 28.04/28.51 , clause( 50378, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum(
% 28.04/28.51 X, T, W ) ), ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ] )
% 28.04/28.51 , clause( 50379, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum(
% 28.04/28.51 X, T, W ) ), ~( sum( Z, U, V0 ) ), product( W, Y, V0 ) ] )
% 28.04/28.51 , clause( 50380, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 28.04/28.51 , clause( 50381, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z,
% 28.04/28.51 T ) ] )
% 28.04/28.51 , clause( 50382, [ product( a, b, d ) ] )
% 28.04/28.51 , clause( 50383, [ product( 'additive_inverse'( a ), b, c ) ] )
% 28.04/28.51 , clause( 50384, [ ~( sum( c, d, 'additive_identity' ) ) ] )
% 28.04/28.51 ] ).
% 28.04/28.51
% 28.04/28.51
% 28.04/28.51
% 28.04/28.51 subsumption(
% 28.04/28.51 clause( 0, [ sum( 'additive_identity', X, X ) ] )
% 28.04/28.51 , clause( 50365, [ sum( 'additive_identity', X, X ) ] )
% 28.04/28.51 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 28.04/28.51
% 28.04/28.51
% 28.04/28.51 subsumption(
% 28.04/28.51 clause( 1, [ sum( X, 'additive_identity', X ) ] )
% 28.04/28.51 , clause( 50366, [ sum( X, 'additive_identity', X ) ] )
% 28.04/28.51 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 28.04/28.51
% 28.04/28.51
% 28.04/28.51 subsumption(
% 28.04/28.51 clause( 2, [ product( X, Y, multiply( X, Y ) ) ] )
% 28.04/28.51 , clause( 50367, [ product( X, Y, multiply( X, Y ) ) ] )
% 28.04/28.51 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 28.04/28.51 )] ) ).
% 28.04/28.51
% 28.04/28.51
% 28.04/28.51 subsumption(
% 28.04/28.51 clause( 4, [ sum( 'additive_inverse'( X ), X, 'additive_identity' ) ] )
% 28.04/28.51 , clause( 50369, [ sum( 'additive_inverse'( X ), X, 'additive_identity' ) ]
% 28.04/28.51 )
% 28.04/28.51 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 28.04/28.51
% 28.04/28.51
% 28.04/28.51 subsumption(
% 28.04/28.51 clause( 5, [ sum( X, 'additive_inverse'( X ), 'additive_identity' ) ] )
% 28.04/28.51 , clause( 50370, [ sum( X, 'additive_inverse'( X ), 'additive_identity' ) ]
% 28.04/28.51 )
% 28.04/28.51 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 28.04/28.51
% 28.04/28.51
% 28.04/28.51 subsumption(
% 28.04/28.51 clause( 6, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T, W ) )
% 28.04/28.51 , sum( X, U, W ) ] )
% 28.04/28.51 , clause( 50371, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T,
% 28.04/28.51 W ) ), sum( X, U, W ) ] )
% 28.04/28.51 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 28.04/28.51 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 28.04/28.51 , 2 ), ==>( 3, 3 )] ) ).
% 28.04/28.51
% 28.04/28.51
% 28.04/28.51 subsumption(
% 28.04/28.51 clause( 13, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X,
% 28.04/28.51 T, W ) ), ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ] )
% 28.04/28.51 , clause( 50378, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum(
% 28.04/28.51 X, T, W ) ), ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ] )
% 28.04/28.51 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 28.04/28.51 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1
% 28.04/28.51 , 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 28.04/28.51
% 28.04/28.51
% 28.04/28.51 subsumption(
% 28.04/28.51 clause( 15, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 28.04/28.51 , clause( 50380, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 28.04/28.51 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 28.04/28.51 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 28.04/28.51
% 28.04/28.51
% 28.04/28.51 subsumption(
% 28.04/28.51 clause( 16, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 28.04/28.51 )
% 28.04/28.51 , clause( 50381, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z,
% 28.04/28.51 T ) ] )
% 28.04/28.51 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 28.04/28.51 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 28.04/28.51
% 28.04/28.51
% 28.04/28.51 subsumption(
% 28.04/28.51 clause( 17, [ product( a, b, d ) ] )
% 28.04/28.51 , clause( 50382, [ product( a, b, d ) ] )
% 28.04/28.51 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 28.04/28.51
% 28.04/28.51
% 28.04/28.51 subsumption(
% 28.04/28.51 clause( 18, [ product( 'additive_inverse'( a ), b, c ) ] )
% 28.04/28.51 , clause( 50383, [ product( 'additive_inverse'( a ), b, c ) ] )
% 28.04/28.51 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 28.04/28.51
% 28.04/28.51
% 28.04/28.51 subsumption(
% 28.04/28.51 clause( 19, [ ~( sum( c, d, 'additive_identity' ) ) ] )
% 28.04/28.51 , clause( 50384, [ ~( sum( c, d, 'additive_identity' ) ) ] )
% 28.04/28.51 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 28.04/28.51
% 28.04/28.51
% 28.04/28.51 factor(
% 28.04/28.51 clause( 50577, [ ~( sum( X, Y, Y ) ), ~( sum( Y, Z, T ) ), sum( X, T, T ) ]
% 28.04/28.51 )
% 28.04/28.51 , clause( 6, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T, W )
% 28.04/28.51 ), sum( X, U, W ) ] )
% 28.04/28.51 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, Z ),
% 28.04/28.51 :=( U, T ), :=( W, T )] )).
% 28.04/28.51
% 28.04/28.51
% 28.04/28.51 subsumption(
% 28.04/28.51 clause( 21, [ ~( sum( X, Y, Y ) ), ~( sum( Y, Z, T ) ), sum( X, T, T ) ] )
% 28.04/28.51 , clause( 50577, [ ~( sum( X, Y, Y ) ), ~( sum( Y, Z, T ) ), sum( X, T, T )
% 28.04/28.51 ] )
% 28.04/28.51 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 28.04/28.51 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 28.04/28.51
% 28.04/28.51
% 28.04/28.51 resolution(
% 28.04/28.51 clause( 50579, [ ~( product( 'additive_inverse'( X ), Y, Z ) ), ~( product(
% 28.04/28.51 X, Y, T ) ), ~( product( 'additive_identity', Y, U ) ), sum( Z, T, U ) ]
% 28.04/28.51 )
% 28.04/28.51 , clause( 13, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X
% 28.04/28.51 , T, W ) ), ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ] )
% 28.04/28.51 , 2, clause( 4, [ sum( 'additive_inverse'( X ), X, 'additive_identity' ) ]
% 28.04/28.51 )
% 28.04/28.51 , 0, substitution( 0, [ :=( X, 'additive_inverse'( X ) ), :=( Y, Y ), :=( Z
% 28.04/28.51 , Z ), :=( T, X ), :=( U, T ), :=( W, 'additive_identity' ), :=( V0, U )] )
% 28.04/28.51 , substitution( 1, [ :=( X, X )] )).
% 28.04/28.51
% 28.04/28.51
% 28.04/28.51 subsumption(
% 28.04/28.51 clause( 328, [ ~( product( 'additive_inverse'( X ), Y, Z ) ), ~( product( X
% 28.04/28.51 , Y, T ) ), ~( product( 'additive_identity', Y, U ) ), sum( Z, T, U ) ]
% 28.04/28.51 )
% 28.04/28.51 , clause( 50579, [ ~( product( 'additive_inverse'( X ), Y, Z ) ), ~(
% 28.04/28.51 product( X, Y, T ) ), ~( product( 'additive_identity', Y, U ) ), sum( Z,
% 28.04/28.51 T, U ) ] )
% 28.04/28.51 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 28.04/28.51 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3
% 28.04/28.51 , 3 )] ) ).
% 28.04/28.51
% 28.04/28.51
% 28.04/28.51 resolution(
% 28.04/28.51 clause( 50581, [ ~( product( X, Y, Z ) ), ~( product( 'additive_identity',
% 28.04/28.51 Y, T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 28.04/28.51 , clause( 13, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X
% 28.04/28.51 , T, W ) ), ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ] )
% 28.04/28.51 , 2, clause( 1, [ sum( X, 'additive_identity', X ) ] )
% 28.04/28.51 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T,
% 28.04/28.51 'additive_identity' ), :=( U, T ), :=( W, X ), :=( V0, U )] ),
% 28.04/28.51 substitution( 1, [ :=( X, X )] )).
% 28.04/28.51
% 28.04/28.51
% 28.04/28.51 subsumption(
% 28.04/28.51 clause( 338, [ ~( product( X, Y, Z ) ), ~( product( 'additive_identity', Y
% 28.04/28.51 , T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 28.04/28.51 , clause( 50581, [ ~( product( X, Y, Z ) ), ~( product( 'additive_identity'
% 28.04/28.51 , Y, T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 28.04/28.51 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 28.04/28.51 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3
% 28.04/28.51 , 3 )] ) ).
% 28.04/28.51
% 28.04/28.51
% 28.04/28.51 factor(
% 28.04/28.51 clause( 50588, [ ~( product( 'additive_identity', X, Y ) ), ~( product(
% 28.04/28.51 'additive_identity', X, Z ) ), sum( Y, Z, Z ) ] )
% 28.04/28.51 , clause( 338, [ ~( product( X, Y, Z ) ), ~( product( 'additive_identity',
% 28.04/28.51 Y, T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 28.04/28.51 , 1, 2, substitution( 0, [ :=( X, 'additive_identity' ), :=( Y, X ), :=( Z
% 28.04/28.51 , Y ), :=( T, Z ), :=( U, Z )] )).
% 28.04/28.51
% 28.04/28.51
% 28.04/28.51 subsumption(
% 28.04/28.51 clause( 341, [ ~( product( 'additive_identity', X, Y ) ), ~( product(
% 28.04/28.51 'additive_identity', X, Z ) ), sum( Y, Z, Z ) ] )
% 28.04/28.51 , clause( 50588, [ ~( product( 'additive_identity', X, Y ) ), ~( product(
% 28.04/28.51 'additive_identity', X, Z ) ), sum( Y, Z, Z ) ] )
% 28.04/28.51 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 28.04/28.51 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 28.04/28.51
% 28.04/28.51
% 28.04/28.51 factor(
% 28.04/28.51 clause( 50590, [ ~( product( 'additive_identity', X, Y ) ), sum( Y, Y, Y )
% 28.04/28.51 ] )
% 28.04/28.51 , clause( 341, [ ~( product( 'additive_identity', X, Y ) ), ~( product(
% 28.04/28.51 'additive_identity', X, Z ) ), sum( Y, Z, Z ) ] )
% 28.04/28.51 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 28.04/28.51
% 28.04/28.51
% 28.04/28.51 subsumption(
% 28.04/28.51 clause( 342, [ ~( product( 'additive_identity', X, Y ) ), sum( Y, Y, Y ) ]
% 28.04/28.51 )
% 28.04/28.51 , clause( 50590, [ ~( product( 'additive_identity', X, Y ) ), sum( Y, Y, Y
% 28.04/28.51 ) ] )
% 28.04/28.51 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 28.04/28.51 ), ==>( 1, 1 )] ) ).
% 28.04/28.51
% 28.04/28.51
% 28.04/28.51 resolution(
% 28.04/28.51 clause( 50591, [ sum( multiply( 'additive_identity', X ), multiply(
% 28.04/28.51 'additive_identity', X ), multiply( 'additive_identity', X ) ) ] )
% 28.04/28.51 , clause( 342, [ ~( product( 'additive_identity', X, Y ) ), sum( Y, Y, Y )
% 28.04/28.51 ] )
% 28.04/28.51 , 0, clause( 2, [ product( X, Y, multiply( X, Y ) ) ] )
% 28.04/28.51 , 0, substitution( 0, [ :=( X, X ), :=( Y, multiply( 'additive_identity', X
% 28.04/28.51 ) )] ), substitution( 1, [ :=( X, 'additive_identity' ), :=( Y, X )] )
% 28.04/28.51 ).
% 28.04/28.51
% 28.04/28.51
% 28.04/28.51 subsumption(
% 28.04/28.51 clause( 357, [ sum( multiply( 'additive_identity', X ), multiply(
% 28.04/28.51 'additive_identity', X ), multiply( 'additive_identity', X ) ) ] )
% 28.04/28.51 , clause( 50591, [ sum( multiply( 'additive_identity', X ), multiply(
% 28.04/28.51 'additive_identity', X ), multiply( 'additive_identity', X ) ) ] )
% 28.04/28.51 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 28.04/28.51
% 28.04/28.51
% 28.04/28.51 resolution(
% 28.04/28.51 clause( 50592, [ ~( sum( 'additive_identity', X, Y ) ), =( X, Y ) ] )
% 28.04/28.51 , clause( 15, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 28.04/28.51 , 0, clause( 0, [ sum( 'additive_identity', X, X ) ] )
% 28.04/28.51 , 0, substitution( 0, [ :=( X, 'additive_identity' ), :=( Y, X ), :=( Z, X
% 28.04/28.51 ), :=( T, Y )] ), substitution( 1, [ :=( X, X )] )).
% 28.04/28.51
% 28.04/28.51
% 28.04/28.51 subsumption(
% 28.04/28.51 clause( 447, [ ~( sum( 'additive_identity', X, Y ) ), =( X, Y ) ] )
% 28.04/28.51 , clause( 50592, [ Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------