TSTP Solution File: GRP012-3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP012-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 07:34:18 EDT 2022
% Result : Unsatisfiable 13.50s 13.86s
% Output : Refutation 13.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP012-3 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Tue Jun 14 02:21:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 13.50/13.86 *** allocated 10000 integers for termspace/termends
% 13.50/13.86 *** allocated 10000 integers for clauses
% 13.50/13.86 *** allocated 10000 integers for justifications
% 13.50/13.86 Bliksem 1.12
% 13.50/13.86
% 13.50/13.86
% 13.50/13.86 Automatic Strategy Selection
% 13.50/13.86
% 13.50/13.86 Clauses:
% 13.50/13.86 [
% 13.50/13.86 [ product( identity, X, X ) ],
% 13.50/13.86 [ product( X, identity, X ) ],
% 13.50/13.86 [ product( inverse( X ), X, identity ) ],
% 13.50/13.86 [ product( X, inverse( X ), identity ) ],
% 13.50/13.86 [ product( X, Y, multiply( X, Y ) ) ],
% 13.50/13.86 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 13.50/13.86 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( Z, T, W
% 13.50/13.86 ) ), product( X, U, W ) ],
% 13.50/13.86 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( X, U, W
% 13.50/13.86 ) ), product( Z, T, W ) ],
% 13.50/13.86 [ ~( =( inverse( multiply( a, b ) ), multiply( inverse( b ), inverse( a
% 13.50/13.86 ) ) ) ) ]
% 13.50/13.86 ] .
% 13.50/13.86
% 13.50/13.86
% 13.50/13.86 percentage equality = 0.117647, percentage horn = 1.000000
% 13.50/13.86 This is a problem with some equality
% 13.50/13.86
% 13.50/13.86
% 13.50/13.86
% 13.50/13.86 Options Used:
% 13.50/13.86
% 13.50/13.86 useres = 1
% 13.50/13.86 useparamod = 1
% 13.50/13.86 useeqrefl = 1
% 13.50/13.86 useeqfact = 1
% 13.50/13.86 usefactor = 1
% 13.50/13.86 usesimpsplitting = 0
% 13.50/13.86 usesimpdemod = 5
% 13.50/13.86 usesimpres = 3
% 13.50/13.86
% 13.50/13.86 resimpinuse = 1000
% 13.50/13.86 resimpclauses = 20000
% 13.50/13.86 substype = eqrewr
% 13.50/13.86 backwardsubs = 1
% 13.50/13.86 selectoldest = 5
% 13.50/13.86
% 13.50/13.86 litorderings [0] = split
% 13.50/13.86 litorderings [1] = extend the termordering, first sorting on arguments
% 13.50/13.86
% 13.50/13.86 termordering = kbo
% 13.50/13.86
% 13.50/13.86 litapriori = 0
% 13.50/13.86 termapriori = 1
% 13.50/13.86 litaposteriori = 0
% 13.50/13.86 termaposteriori = 0
% 13.50/13.86 demodaposteriori = 0
% 13.50/13.86 ordereqreflfact = 0
% 13.50/13.86
% 13.50/13.86 litselect = negord
% 13.50/13.86
% 13.50/13.86 maxweight = 15
% 13.50/13.86 maxdepth = 30000
% 13.50/13.86 maxlength = 115
% 13.50/13.86 maxnrvars = 195
% 13.50/13.86 excuselevel = 1
% 13.50/13.86 increasemaxweight = 1
% 13.50/13.86
% 13.50/13.86 maxselected = 10000000
% 13.50/13.86 maxnrclauses = 10000000
% 13.50/13.86
% 13.50/13.86 showgenerated = 0
% 13.50/13.86 showkept = 0
% 13.50/13.86 showselected = 0
% 13.50/13.86 showdeleted = 0
% 13.50/13.86 showresimp = 1
% 13.50/13.86 showstatus = 2000
% 13.50/13.86
% 13.50/13.86 prologoutput = 1
% 13.50/13.86 nrgoals = 5000000
% 13.50/13.86 totalproof = 1
% 13.50/13.86
% 13.50/13.86 Symbols occurring in the translation:
% 13.50/13.86
% 13.50/13.86 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 13.50/13.86 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 13.50/13.86 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 13.50/13.86 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 13.50/13.86 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 13.50/13.86 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 13.50/13.86 product [41, 3] (w:1, o:50, a:1, s:1, b:0),
% 13.50/13.86 inverse [42, 1] (w:1, o:23, a:1, s:1, b:0),
% 13.50/13.86 multiply [44, 2] (w:1, o:49, a:1, s:1, b:0),
% 13.50/13.86 a [49, 0] (w:1, o:16, a:1, s:1, b:0),
% 13.50/13.86 b [50, 0] (w:1, o:17, a:1, s:1, b:0).
% 13.50/13.86
% 13.50/13.86
% 13.50/13.86 Starting Search:
% 13.50/13.86
% 13.50/13.86 Resimplifying inuse:
% 13.50/13.86 Done
% 13.50/13.86
% 13.50/13.86
% 13.50/13.86 Intermediate Status:
% 13.50/13.86 Generated: 7765
% 13.50/13.86 Kept: 2188
% 13.50/13.86 Inuse: 101
% 13.50/13.86 Deleted: 0
% 13.50/13.86 Deletedinuse: 0
% 13.50/13.86
% 13.50/13.86 Resimplifying inuse:
% 13.50/13.86 Done
% 13.50/13.86
% 13.50/13.86 Resimplifying inuse:
% 13.50/13.86 Done
% 13.50/13.86
% 13.50/13.86
% 13.50/13.86 Intermediate Status:
% 13.50/13.86 Generated: 21202
% 13.50/13.86 Kept: 4470
% 13.50/13.86 Inuse: 186
% 13.50/13.86 Deleted: 41
% 13.50/13.86 Deletedinuse: 21
% 13.50/13.86
% 13.50/13.86 Resimplifying inuse:
% 13.50/13.86 Done
% 13.50/13.86
% 13.50/13.86 Resimplifying inuse:
% 13.50/13.86 Done
% 13.50/13.86
% 13.50/13.86
% 13.50/13.86 Intermediate Status:
% 13.50/13.86 Generated: 39111
% 13.50/13.86 Kept: 6617
% 13.50/13.86 Inuse: 244
% 13.50/13.86 Deleted: 117
% 13.50/13.86 Deletedinuse: 33
% 13.50/13.86
% 13.50/13.86 Resimplifying inuse:
% 13.50/13.86 Done
% 13.50/13.86
% 13.50/13.86 Resimplifying inuse:
% 13.50/13.86 Done
% 13.50/13.86
% 13.50/13.86
% 13.50/13.86 Intermediate Status:
% 13.50/13.86 Generated: 49353
% 13.50/13.86 Kept: 8642
% 13.50/13.86 Inuse: 273
% 13.50/13.86 Deleted: 143
% 13.50/13.86 Deletedinuse: 35
% 13.50/13.86
% 13.50/13.86 Resimplifying inuse:
% 13.50/13.86 Done
% 13.50/13.86
% 13.50/13.86 Resimplifying inuse:
% 13.50/13.86 Done
% 13.50/13.86
% 13.50/13.86
% 13.50/13.86 Intermediate Status:
% 13.50/13.86 Generated: 57938
% 13.50/13.86 Kept: 11024
% 13.50/13.86 Inuse: 299
% 13.50/13.86 Deleted: 187
% 13.50/13.86 Deletedinuse: 64
% 13.50/13.86
% 13.50/13.86 Resimplifying inuse:
% 13.50/13.86 Done
% 13.50/13.86
% 13.50/13.86 Resimplifying inuse:
% 13.50/13.86 Done
% 13.50/13.86
% 13.50/13.86
% 13.50/13.86 Intermediate Status:
% 13.50/13.86 Generated: 65675
% 13.50/13.86 Kept: 13043
% 13.50/13.86 Inuse: 322
% 13.50/13.86 Deleted: 191
% 13.50/13.86 Deletedinuse: 64
% 13.50/13.86
% 13.50/13.86 Resimplifying inuse:
% 13.50/13.86 Done
% 13.50/13.86
% 13.50/13.86 Resimplifying inuse:
% 13.50/13.86 Done
% 13.50/13.86
% 13.50/13.86
% 13.50/13.86 Intermediate Status:
% 13.50/13.86 Generated: 73958
% 13.50/13.86 Kept: 15077
% 13.50/13.86 Inuse: 355
% 13.50/13.86 Deleted: 198
% 13.50/13.86 Deletedinuse: 64
% 13.50/13.86
% 13.50/13.86 Resimplifying inuse:
% 13.50/13.86 Done
% 13.50/13.86
% 13.50/13.86 Resimplifying inuse:
% 13.50/13.86 Done
% 13.50/13.86
% 13.50/13.86
% 13.50/13.86 Intermediate Status:
% 13.50/13.86 Generated: 92519
% 13.50/13.86 Kept: 17083
% 13.50/13.86 Inuse: 399
% 13.50/13.86 Deleted: 200
% 13.50/13.86 Deletedinuse: 64
% 13.50/13.86
% 13.50/13.86 Resimplifying inuse:
% 13.50/13.86 Done
% 13.50/13.86
% 13.50/13.86 Resimplifying inuse:
% 13.50/13.86 Done
% 13.50/13.86
% 13.50/13.86
% 13.50/13.86 Intermediate Status:
% 13.50/13.86 Generated: 110587
% 13.50/13.86 Kept: 19265
% 13.50/13.86 Inuse: 430
% 13.50/13.86 Deleted: 200
% 13.50/13.86 Deletedinuse: 64
% 13.50/13.86
% 13.50/13.86 Resimplifying inuse:
% 13.50/13.86 Done
% 13.50/13.86
% 13.50/13.86 Resimplifying clauses:
% 13.50/13.86 Done
% 13.50/13.86
% 13.50/13.86 Resimplifying inuse:
% 13.50/13.86 Done
% 13.50/13.86
% 13.50/13.86
% 13.50/13.86 Intermediate Status:
% 13.50/13.86 Generated: 123389
% 13.50/13.86 Kept: 21367
% 13.50/13.86 Inuse: 450
% 13.50/13.86 Deleted: 3573
% 13.50/13.86 Deletedinuse: 67
% 13.50/13.86
% 13.50/13.86 Resimplifying inuse:
% 13.50/13.86 Done
% 13.50/13.86
% 13.50/13.86 Resimplifying inuse:
% 13.50/13.86 Done
% 13.50/13.86
% 13.50/13.86
% 13.50/13.86 Intermediate Status:
% 13.50/13.86 Generated: 139222
% 13.50/13.86 Kept: 24027
% 13.50/13.86 Inuse: 476
% 13.50/13.86 Deleted: 3573
% 13.50/13.86 Deletedinuse: 67
% 13.50/13.86
% 13.50/13.86 Resimplifying inuse:
% 13.50/13.86 Done
% 13.50/13.86
% 13.50/13.86 Resimplifying inuse:
% 13.50/13.86 Done
% 13.50/13.86
% 13.50/13.86
% 13.50/13.86 Intermediate Status:
% 13.50/13.86 Generated: 151541
% 13.50/13.86 Kept: 26048
% 13.50/13.86 Inuse: 495
% 13.50/13.86 Deleted: 3573
% 13.50/13.86 Deletedinuse: 67
% 13.50/13.86
% 13.50/13.86 Resimplifying inuse:
% 13.50/13.86 Done
% 13.50/13.86
% 13.50/13.86 Resimplifying inuse:
% 13.50/13.86 Done
% 13.50/13.86
% 13.50/13.86
% 13.50/13.86 Intermediate Status:
% 13.50/13.86 Generated: 165990
% 13.50/13.86 Kept: 28050
% 13.50/13.86 Inuse: 524
% 13.50/13.86 Deleted: 3579
% 13.50/13.86 Deletedinuse: 67
% 13.50/13.86
% 13.50/13.86 Resimplifying inuse:
% 13.50/13.86 Done
% 13.50/13.86
% 13.50/13.86 Resimplifying inuse:
% 13.50/13.86 Done
% 13.50/13.86
% 13.50/13.86
% 13.50/13.86 Intermediate Status:
% 13.50/13.86 Generated: 178432
% 13.50/13.86 Kept: 30063
% 13.50/13.86 Inuse: 543
% 13.50/13.86 Deleted: 3579
% 13.50/13.86 Deletedinuse: 67
% 13.50/13.86
% 13.50/13.86 Resimplifying inuse:
% 13.50/13.86 Done
% 13.50/13.86
% 13.50/13.86 Resimplifying inuse:
% 13.50/13.86 Done
% 13.50/13.86
% 13.50/13.86
% 13.50/13.86 Intermediate Status:
% 13.50/13.86 Generated: 196609
% 13.50/13.86 Kept: 32080
% 13.50/13.86 Inuse: 568
% 13.50/13.86 Deleted: 3585
% 13.50/13.86 Deletedinuse: 68
% 13.50/13.86
% 13.50/13.86 Resimplifying inuse:
% 13.50/13.86 Done
% 13.50/13.86
% 13.50/13.86 Resimplifying inuse:
% 13.50/13.86 Done
% 13.50/13.86
% 13.50/13.86
% 13.50/13.86 Bliksems!, er is een bewijs:
% 13.50/13.86 % SZS status Unsatisfiable
% 13.50/13.86 % SZS output start Refutation
% 13.50/13.86
% 13.50/13.86 clause( 0, [ product( identity, X, X ) ] )
% 13.50/13.86 .
% 13.50/13.86 clause( 1, [ product( X, identity, X ) ] )
% 13.50/13.86 .
% 13.50/13.86 clause( 2, [ product( inverse( X ), X, identity ) ] )
% 13.50/13.86 .
% 13.50/13.86 clause( 3, [ product( X, inverse( X ), identity ) ] )
% 13.50/13.86 .
% 13.50/13.86 clause( 4, [ product( X, Y, multiply( X, Y ) ) ] )
% 13.50/13.86 .
% 13.50/13.86 clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 13.50/13.86 )
% 13.50/13.86 .
% 13.50/13.86 clause( 6, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 13.50/13.86 Z, T, W ) ), product( X, U, W ) ] )
% 13.50/13.86 .
% 13.50/13.86 clause( 7, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 13.50/13.86 X, U, W ) ), product( Z, T, W ) ] )
% 13.50/13.86 .
% 13.50/13.86 clause( 8, [ ~( =( multiply( inverse( b ), inverse( a ) ), inverse(
% 13.50/13.86 multiply( a, b ) ) ) ) ] )
% 13.50/13.86 .
% 13.50/13.86 clause( 15, [ ~( product( X, Y, Z ) ), =( multiply( X, Y ), Z ) ] )
% 13.50/13.86 .
% 13.50/13.86 clause( 18, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 13.50/13.86 .
% 13.50/13.86 clause( 19, [ ~( product( X, identity, Y ) ), =( X, Y ) ] )
% 13.50/13.86 .
% 13.50/13.86 clause( 27, [ =( multiply( identity, X ), X ) ] )
% 13.50/13.86 .
% 13.50/13.86 clause( 38, [ product( X, Y, identity ), ~( product( identity, inverse( X )
% 13.50/13.86 , Y ) ) ] )
% 13.50/13.86 .
% 13.50/13.86 clause( 54, [ =( multiply( X, identity ), X ) ] )
% 13.50/13.86 .
% 13.50/13.86 clause( 55, [ ~( product( Y, X, Z ) ), =( Y, Z ), ~( product( identity,
% 13.50/13.86 identity, X ) ) ] )
% 13.50/13.86 .
% 13.50/13.86 clause( 82, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), product( X
% 13.50/13.86 , U, multiply( Z, T ) ) ] )
% 13.50/13.86 .
% 13.50/13.86 clause( 86, [ ~( product( inverse( X ), Y, Z ) ), ~( product( identity, Y,
% 13.50/13.86 T ) ), product( X, Z, T ) ] )
% 13.50/13.86 .
% 13.50/13.86 clause( 130, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), product( Z
% 13.50/13.86 , T, multiply( X, U ) ) ] )
% 13.50/13.86 .
% 13.50/13.86 clause( 199, [ ~( =( multiply( X, inverse( a ) ), inverse( multiply( a, b )
% 13.50/13.86 ) ) ), ~( product( inverse( b ), identity, X ) ) ] )
% 13.50/13.86 .
% 13.50/13.86 clause( 6818, [ ~( product( X, Y, Z ) ), product( inverse( X ), Z, Y ) ] )
% 13.50/13.86 .
% 13.50/13.86 clause( 7967, [ ~( product( identity, X, Y ) ), product( Z, identity, Y ),
% 13.50/13.86 ~( product( identity, inverse( inverse( Z ) ), X ) ) ] )
% 13.50/13.86 .
% 13.50/13.86 clause( 8042, [ product( X, identity, inverse( inverse( X ) ) ) ] )
% 13.50/13.86 .
% 13.50/13.86 clause( 8074, [ =( inverse( inverse( X ) ), X ) ] )
% 13.50/13.86 .
% 13.50/13.86 clause( 19796, [ ~( product( X, inverse( Y ), Z ) ), product( Z, Y, X ) ]
% 13.50/13.86 )
% 13.50/13.86 .
% 13.50/13.86 clause( 19879, [ product( multiply( X, inverse( Y ) ), Y, X ) ] )
% 13.50/13.86 .
% 13.50/13.86 clause( 19933, [ =( multiply( multiply( X, inverse( Y ) ), Y ), X ) ] )
% 13.50/13.86 .
% 13.50/13.86 clause( 19950, [ product( multiply( Y, X ), inverse( X ), Y ) ] )
% 13.50/13.86 .
% 13.50/13.86 clause( 19984, [ product( inverse( multiply( X, Y ) ), X, inverse( Y ) ) ]
% 13.50/13.86 )
% 13.50/13.86 .
% 13.50/13.86 clause( 20114, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 13.50/13.86 ) ) ] )
% 13.50/13.86 .
% 13.50/13.86 clause( 33617, [ ~( =( X, inverse( multiply( a, b ) ) ) ), ~( product(
% 13.50/13.86 inverse( b ), identity, multiply( X, a ) ) ) ] )
% 13.50/13.86 .
% 13.50/13.86 clause( 33618, [] )
% 13.50/13.86 .
% 13.50/13.86
% 13.50/13.86
% 13.50/13.86 % SZS output end Refutation
% 13.50/13.86 found a proof!
% 13.50/13.86
% 13.50/13.86 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 13.50/13.86
% 13.50/13.86 initialclauses(
% 13.50/13.86 [ clause( 33620, [ product( identity, X, X ) ] )
% 13.50/13.86 , clause( 33621, [ product( X, identity, X ) ] )
% 13.50/13.86 , clause( 33622, [ product( inverse( X ), X, identity ) ] )
% 13.50/13.86 , clause( 33623, [ product( X, inverse( X ), identity ) ] )
% 13.50/13.86 , clause( 33624, [ product( X, Y, multiply( X, Y ) ) ] )
% 13.50/13.86 , clause( 33625, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z,
% 13.50/13.86 T ) ] )
% 13.50/13.86 , clause( 33626, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 13.50/13.86 product( Z, T, W ) ), product( X, U, W ) ] )
% 13.50/13.86 , clause( 33627, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 13.50/13.86 product( X, U, W ) ), product( Z, T, W ) ] )
% 13.50/13.86 , clause( 33628, [ ~( =( inverse( multiply( a, b ) ), multiply( inverse( b
% 13.50/13.86 ), inverse( a ) ) ) ) ] )
% 13.50/13.86 ] ).
% 13.50/13.86
% 13.50/13.86
% 13.50/13.86
% 13.50/13.86 subsumption(
% 13.50/13.86 clause( 0, [ product( identity, X, X ) ] )
% 13.50/13.86 , clause( 33620, [ product( identity, X, X ) ] )
% 13.50/13.86 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 13.50/13.86
% 13.50/13.86
% 13.50/13.86 subsumption(
% 13.50/13.86 clause( 1, [ product( X, identity, X ) ] )
% 13.50/13.86 , clause( 33621, [ product( X, identity, X ) ] )
% 13.50/13.86 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 13.50/13.86
% 13.50/13.86
% 13.50/13.86 subsumption(
% 13.50/13.86 clause( 2, [ product( inverse( X ), X, identity ) ] )
% 13.50/13.86 , clause( 33622, [ product( inverse( X ), X, identity ) ] )
% 13.50/13.86 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 13.50/13.86
% 13.50/13.86
% 13.50/13.86 subsumption(
% 13.50/13.86 clause( 3, [ product( X, inverse( X ), identity ) ] )
% 13.50/13.86 , clause( 33623, [ product( X, inverse( X ), identity ) ] )
% 13.50/13.86 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 13.50/13.86
% 13.50/13.86
% 13.50/13.86 subsumption(
% 13.50/13.86 clause( 4, [ product( X, Y, multiply( X, Y ) ) ] )
% 13.50/13.86 , clause( 33624, [ product( X, Y, multiply( X, Y ) ) ] )
% 13.50/13.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 13.50/13.86 )] ) ).
% 13.50/13.86
% 13.50/13.86
% 13.50/13.86 subsumption(
% 13.50/13.86 clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 13.50/13.86 )
% 13.50/13.86 , clause( 33625, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z,
% 13.50/13.86 T ) ] )
% 13.50/13.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 13.50/13.86 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 13.50/13.86
% 13.50/13.86
% 13.50/13.86 subsumption(
% 13.50/13.86 clause( 6, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 13.50/13.86 Z, T, W ) ), product( X, U, W ) ] )
% 13.50/13.86 , clause( 33626, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 13.50/13.86 product( Z, T, W ) ), product( X, U, W ) ] )
% 13.50/13.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 13.50/13.86 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 13.50/13.86 , 2 ), ==>( 3, 3 )] ) ).
% 13.50/13.86
% 13.50/13.86
% 13.50/13.86 subsumption(
% 13.50/13.86 clause( 7, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 13.50/13.86 X, U, W ) ), product( Z, T, W ) ] )
% 13.50/13.86 , clause( 33627, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 13.50/13.86 product( X, U, W ) ), product( Z, T, W ) ] )
% 13.50/13.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 13.50/13.86 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 13.50/13.86 , 2 ), ==>( 3, 3 )] ) ).
% 13.50/13.86
% 13.50/13.86
% 13.50/13.86 eqswap(
% 13.50/13.86 clause( 33653, [ ~( =( multiply( inverse( b ), inverse( a ) ), inverse(
% 13.50/13.86 multiply( a, b ) ) ) ) ] )
% 13.50/13.86 , clause( 33628, [ ~( =( inverse( multiply( a, b ) ), multiply( inverse( b
% 13.50/13.86 ), inverse( a ) ) ) ) ] )
% 13.50/13.86 , 0, substitution( 0, [] )).
% 13.50/13.86
% 13.50/13.86
% 13.50/13.86 subsumption(
% 13.50/13.86 clause( 8, [ ~( =( multiply( inverse( b ), inverse( a ) ), inverse(
% 13.50/13.86 multiply( a, b ) ) ) ) ] )
% 13.50/13.86 , clause( 33653, [ ~( =( multiply( inverse( b ), inverse( a ) ), inverse(
% 13.50/13.86 multiply( a, b ) ) ) ) ] )
% 13.50/13.86 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 13.50/13.86
% 13.50/13.86
% 13.50/13.86 resolution(
% 13.50/13.86 clause( 33654, [ ~( product( X, Y, Z ) ), =( multiply( X, Y ), Z ) ] )
% 13.50/13.86 , clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T )
% 13.50/13.86 ] )
% 13.50/13.86 , 0, clause( 4, [ product( X, Y, multiply( X, Y ) ) ] )
% 13.50/13.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, multiply( X, Y ) ),
% 13.50/13.86 :=( T, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 13.50/13.86
% 13.50/13.86
% 13.50/13.86 subsumption(
% 13.50/13.86 clause( 15, [ ~( product( X, Y, Z ) ), =( multiply( X, Y ), Z ) ] )
% 13.50/13.86 , clause( 33654, [ ~( product( X, Y, Z ) ), =( multiply( X, Y ), Z ) ] )
% 13.50/13.86 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 13.50/13.86 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 13.50/13.86
% 13.50/13.86
% 13.50/13.86 resolution(
% 13.50/13.86 clause( 33656, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 13.50/13.86 , clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T )
% 13.50/13.86 ] )
% 13.50/13.86 , 0, clause( 0, [ product( identity, X, X ) ] )
% 13.50/13.86 , 0, substitution( 0, [ :=( X, identity ), :=( Y, X ), :=( Z, X ), :=( T, Y
% 13.50/13.86 )] ), substitution( 1, [ :=( X, X )] )).
% 13.50/13.86
% 13.50/13.86
% 13.50/13.86 subsumption(
% 13.50/13.86 clause( 18, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 13.50/13.86 , clause( 33656, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 13.50/13.86 , substitution( 0, [ Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------