TSTP Solution File: GRP012-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP012-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n003.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 07:34:17 EDT 2022
% Result : Unsatisfiable 12.99s 13.37s
% Output : Refutation 12.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP012-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.14/0.33 % Computer : n003.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % DateTime : Tue Jun 14 09:53:55 EDT 2022
% 0.14/0.34 % CPUTime :
% 12.99/13.37 *** allocated 10000 integers for termspace/termends
% 12.99/13.37 *** allocated 10000 integers for clauses
% 12.99/13.37 *** allocated 10000 integers for justifications
% 12.99/13.37 Bliksem 1.12
% 12.99/13.37
% 12.99/13.37
% 12.99/13.37 Automatic Strategy Selection
% 12.99/13.37
% 12.99/13.37 Clauses:
% 12.99/13.37 [
% 12.99/13.37 [ product( identity, X, X ) ],
% 12.99/13.37 [ product( X, identity, X ) ],
% 12.99/13.37 [ product( inverse( X ), X, identity ) ],
% 12.99/13.37 [ product( X, inverse( X ), identity ) ],
% 12.99/13.37 [ product( X, Y, multiply( X, Y ) ) ],
% 12.99/13.37 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 12.99/13.37 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( Z, T, W
% 12.99/13.37 ) ), product( X, U, W ) ],
% 12.99/13.37 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( X, U, W
% 12.99/13.37 ) ), product( Z, T, W ) ],
% 12.99/13.37 [ product( a, b, c ) ],
% 12.99/13.37 [ product( inverse( b ), inverse( a ), d ) ],
% 12.99/13.37 [ ~( =( inverse( c ), d ) ) ]
% 12.99/13.37 ] .
% 12.99/13.37
% 12.99/13.37
% 12.99/13.37 percentage equality = 0.105263, percentage horn = 1.000000
% 12.99/13.37 This is a problem with some equality
% 12.99/13.37
% 12.99/13.37
% 12.99/13.37
% 12.99/13.37 Options Used:
% 12.99/13.37
% 12.99/13.37 useres = 1
% 12.99/13.37 useparamod = 1
% 12.99/13.37 useeqrefl = 1
% 12.99/13.37 useeqfact = 1
% 12.99/13.37 usefactor = 1
% 12.99/13.37 usesimpsplitting = 0
% 12.99/13.37 usesimpdemod = 5
% 12.99/13.37 usesimpres = 3
% 12.99/13.37
% 12.99/13.37 resimpinuse = 1000
% 12.99/13.37 resimpclauses = 20000
% 12.99/13.37 substype = eqrewr
% 12.99/13.37 backwardsubs = 1
% 12.99/13.37 selectoldest = 5
% 12.99/13.37
% 12.99/13.37 litorderings [0] = split
% 12.99/13.37 litorderings [1] = extend the termordering, first sorting on arguments
% 12.99/13.37
% 12.99/13.37 termordering = kbo
% 12.99/13.37
% 12.99/13.37 litapriori = 0
% 12.99/13.37 termapriori = 1
% 12.99/13.37 litaposteriori = 0
% 12.99/13.37 termaposteriori = 0
% 12.99/13.37 demodaposteriori = 0
% 12.99/13.37 ordereqreflfact = 0
% 12.99/13.37
% 12.99/13.37 litselect = negord
% 12.99/13.37
% 12.99/13.37 maxweight = 15
% 12.99/13.37 maxdepth = 30000
% 12.99/13.37 maxlength = 115
% 12.99/13.37 maxnrvars = 195
% 12.99/13.37 excuselevel = 1
% 12.99/13.37 increasemaxweight = 1
% 12.99/13.37
% 12.99/13.37 maxselected = 10000000
% 12.99/13.37 maxnrclauses = 10000000
% 12.99/13.37
% 12.99/13.37 showgenerated = 0
% 12.99/13.37 showkept = 0
% 12.99/13.37 showselected = 0
% 12.99/13.37 showdeleted = 0
% 12.99/13.37 showresimp = 1
% 12.99/13.37 showstatus = 2000
% 12.99/13.37
% 12.99/13.37 prologoutput = 1
% 12.99/13.37 nrgoals = 5000000
% 12.99/13.37 totalproof = 1
% 12.99/13.37
% 12.99/13.37 Symbols occurring in the translation:
% 12.99/13.37
% 12.99/13.37 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 12.99/13.37 . [1, 2] (w:1, o:26, a:1, s:1, b:0),
% 12.99/13.37 ! [4, 1] (w:0, o:20, a:1, s:1, b:0),
% 12.99/13.37 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 12.99/13.37 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 12.99/13.37 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 12.99/13.37 product [41, 3] (w:1, o:52, a:1, s:1, b:0),
% 12.99/13.37 inverse [42, 1] (w:1, o:25, a:1, s:1, b:0),
% 12.99/13.37 multiply [44, 2] (w:1, o:51, a:1, s:1, b:0),
% 12.99/13.37 a [49, 0] (w:1, o:16, a:1, s:1, b:0),
% 12.99/13.37 b [50, 0] (w:1, o:17, a:1, s:1, b:0),
% 12.99/13.37 c [51, 0] (w:1, o:18, a:1, s:1, b:0),
% 12.99/13.37 d [52, 0] (w:1, o:19, a:1, s:1, b:0).
% 12.99/13.37
% 12.99/13.37
% 12.99/13.37 Starting Search:
% 12.99/13.37
% 12.99/13.37 Resimplifying inuse:
% 12.99/13.37 Done
% 12.99/13.37
% 12.99/13.37
% 12.99/13.37 Intermediate Status:
% 12.99/13.37 Generated: 5697
% 12.99/13.37 Kept: 2028
% 12.99/13.37 Inuse: 92
% 12.99/13.37 Deleted: 14
% 12.99/13.37 Deletedinuse: 12
% 12.99/13.37
% 12.99/13.37 Resimplifying inuse:
% 12.99/13.37 Done
% 12.99/13.37
% 12.99/13.37 Resimplifying inuse:
% 12.99/13.37 Done
% 12.99/13.37
% 12.99/13.37
% 12.99/13.37 Intermediate Status:
% 12.99/13.37 Generated: 13597
% 12.99/13.37 Kept: 4054
% 12.99/13.37 Inuse: 167
% 12.99/13.37 Deleted: 19
% 12.99/13.37 Deletedinuse: 16
% 12.99/13.37
% 12.99/13.37 Resimplifying inuse:
% 12.99/13.37 Done
% 12.99/13.37
% 12.99/13.37 Resimplifying inuse:
% 12.99/13.37 Done
% 12.99/13.37
% 12.99/13.37
% 12.99/13.37 Intermediate Status:
% 12.99/13.37 Generated: 23104
% 12.99/13.37 Kept: 6080
% 12.99/13.37 Inuse: 234
% 12.99/13.37 Deleted: 22
% 12.99/13.37 Deletedinuse: 17
% 12.99/13.37
% 12.99/13.37 Resimplifying inuse:
% 12.99/13.37 Done
% 12.99/13.37
% 12.99/13.37 Resimplifying inuse:
% 12.99/13.37 Done
% 12.99/13.37
% 12.99/13.37
% 12.99/13.37 Intermediate Status:
% 12.99/13.37 Generated: 37676
% 12.99/13.37 Kept: 8087
% 12.99/13.37 Inuse: 318
% 12.99/13.37 Deleted: 41
% 12.99/13.37 Deletedinuse: 24
% 12.99/13.37
% 12.99/13.37 Resimplifying inuse:
% 12.99/13.37 Done
% 12.99/13.37
% 12.99/13.37 Resimplifying inuse:
% 12.99/13.37 Done
% 12.99/13.37
% 12.99/13.37
% 12.99/13.37 Intermediate Status:
% 12.99/13.37 Generated: 51010
% 12.99/13.37 Kept: 10101
% 12.99/13.37 Inuse: 356
% 12.99/13.37 Deleted: 51
% 12.99/13.37 Deletedinuse: 25
% 12.99/13.37
% 12.99/13.37 Resimplifying inuse:
% 12.99/13.37 Done
% 12.99/13.37
% 12.99/13.37 Resimplifying inuse:
% 12.99/13.37 Done
% 12.99/13.37
% 12.99/13.37
% 12.99/13.37 Intermediate Status:
% 12.99/13.37 Generated: 57550
% 12.99/13.37 Kept: 12145
% 12.99/13.37 Inuse: 380
% 12.99/13.37 Deleted: 55
% 12.99/13.37 Deletedinuse: 29
% 12.99/13.37
% 12.99/13.37 Resimplifying inuse:
% 12.99/13.37 Done
% 12.99/13.37
% 12.99/13.37 Resimplifying inuse:
% 12.99/13.37 Done
% 12.99/13.37
% 12.99/13.37
% 12.99/13.37 Intermediate Status:
% 12.99/13.37 Generated: 64815
% 12.99/13.37 Kept: 14155
% 12.99/13.37 Inuse: 404
% 12.99/13.37 Deleted: 94
% 12.99/13.37 Deletedinuse: 49
% 12.99/13.37
% 12.99/13.37 Resimplifying inuse:
% 12.99/13.37 Done
% 12.99/13.37
% 12.99/13.37 Resimplifying inuse:
% 12.99/13.37 Done
% 12.99/13.37
% 12.99/13.37
% 12.99/13.37 Intermediate Status:
% 12.99/13.37 Generated: 77752
% 12.99/13.37 Kept: 16208
% 12.99/13.37 Inuse: 445
% 12.99/13.37 Deleted: 139
% 12.99/13.37 Deletedinuse: 86
% 12.99/13.37
% 12.99/13.37 Resimplifying inuse:
% 12.99/13.37 Done
% 12.99/13.37
% 12.99/13.37 Resimplifying inuse:
% 12.99/13.37 Done
% 12.99/13.37
% 12.99/13.37
% 12.99/13.37 Intermediate Status:
% 12.99/13.37 Generated: 87353
% 12.99/13.37 Kept: 18220
% 12.99/13.37 Inuse: 494
% 12.99/13.37 Deleted: 150
% 12.99/13.37 Deletedinuse: 87
% 12.99/13.37
% 12.99/13.37 Resimplifying inuse:
% 12.99/13.37 Done
% 12.99/13.37
% 12.99/13.37 Resimplifying inuse:
% 12.99/13.37 Done
% 12.99/13.37
% 12.99/13.37 Resimplifying clauses:
% 12.99/13.37 Done
% 12.99/13.37
% 12.99/13.37
% 12.99/13.37 Intermediate Status:
% 12.99/13.37 Generated: 97551
% 12.99/13.37 Kept: 20232
% 12.99/13.37 Inuse: 545
% 12.99/13.37 Deleted: 5890
% 12.99/13.37 Deletedinuse: 100
% 12.99/13.37
% 12.99/13.37 Resimplifying inuse:
% 12.99/13.37 Done
% 12.99/13.37
% 12.99/13.37 Resimplifying inuse:
% 12.99/13.37 Done
% 12.99/13.37
% 12.99/13.37
% 12.99/13.37 Intermediate Status:
% 12.99/13.37 Generated: 112802
% 12.99/13.37 Kept: 22264
% 12.99/13.37 Inuse: 606
% 12.99/13.37 Deleted: 5890
% 12.99/13.37 Deletedinuse: 100
% 12.99/13.37
% 12.99/13.37 Resimplifying inuse:
% 12.99/13.37 Done
% 12.99/13.37
% 12.99/13.37 Resimplifying inuse:
% 12.99/13.37 Done
% 12.99/13.37
% 12.99/13.37
% 12.99/13.37 Intermediate Status:
% 12.99/13.37 Generated: 132553
% 12.99/13.37 Kept: 24283
% 12.99/13.37 Inuse: 649
% 12.99/13.37 Deleted: 5896
% 12.99/13.37 Deletedinuse: 103
% 12.99/13.37
% 12.99/13.37 Resimplifying inuse:
% 12.99/13.37 Done
% 12.99/13.37
% 12.99/13.37 Resimplifying inuse:
% 12.99/13.37 Done
% 12.99/13.37
% 12.99/13.37
% 12.99/13.37 Intermediate Status:
% 12.99/13.37 Generated: 139017
% 12.99/13.37 Kept: 26295
% 12.99/13.37 Inuse: 666
% 12.99/13.37 Deleted: 5896
% 12.99/13.37 Deletedinuse: 103
% 12.99/13.37
% 12.99/13.37 Resimplifying inuse:
% 12.99/13.37 Done
% 12.99/13.37
% 12.99/13.37
% 12.99/13.37 Intermediate Status:
% 12.99/13.37 Generated: 145477
% 12.99/13.37 Kept: 28295
% 12.99/13.37 Inuse: 682
% 12.99/13.37 Deleted: 5897
% 12.99/13.37 Deletedinuse: 104
% 12.99/13.37
% 12.99/13.37 Resimplifying inuse:
% 12.99/13.37 Done
% 12.99/13.37
% 12.99/13.37 Resimplifying inuse:
% 12.99/13.37 Done
% 12.99/13.37
% 12.99/13.37
% 12.99/13.37 Bliksems!, er is een bewijs:
% 12.99/13.37 % SZS status Unsatisfiable
% 12.99/13.37 % SZS output start Refutation
% 12.99/13.37
% 12.99/13.37 clause( 0, [ product( identity, X, X ) ] )
% 12.99/13.37 .
% 12.99/13.37 clause( 1, [ product( X, identity, X ) ] )
% 12.99/13.37 .
% 12.99/13.37 clause( 2, [ product( inverse( X ), X, identity ) ] )
% 12.99/13.37 .
% 12.99/13.37 clause( 3, [ product( X, inverse( X ), identity ) ] )
% 12.99/13.37 .
% 12.99/13.37 clause( 4, [ product( X, Y, multiply( X, Y ) ) ] )
% 12.99/13.37 .
% 12.99/13.37 clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 12.99/13.37 )
% 12.99/13.37 .
% 12.99/13.37 clause( 6, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 12.99/13.37 Z, T, W ) ), product( X, U, W ) ] )
% 12.99/13.37 .
% 12.99/13.37 clause( 7, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 12.99/13.37 X, U, W ) ), product( Z, T, W ) ] )
% 12.99/13.37 .
% 12.99/13.37 clause( 8, [ product( a, b, c ) ] )
% 12.99/13.37 .
% 12.99/13.37 clause( 9, [ product( inverse( b ), inverse( a ), d ) ] )
% 12.99/13.37 .
% 12.99/13.37 clause( 10, [ ~( =( inverse( c ), d ) ) ] )
% 12.99/13.37 .
% 12.99/13.37 clause( 18, [ ~( product( X, Y, Z ) ), =( multiply( X, Y ), Z ) ] )
% 12.99/13.37 .
% 12.99/13.37 clause( 22, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 12.99/13.37 .
% 12.99/13.37 clause( 23, [ ~( product( X, identity, Y ) ), =( X, Y ) ] )
% 12.99/13.37 .
% 12.99/13.37 clause( 51, [ product( inverse( b ), X, d ), ~( product( identity, inverse(
% 12.99/13.37 a ), X ) ) ] )
% 12.99/13.37 .
% 12.99/13.37 clause( 56, [ product( inverse( b ), inverse( a ), X ), ~( product(
% 12.99/13.37 identity, X, d ) ) ] )
% 12.99/13.37 .
% 12.99/13.37 clause( 63, [ product( X, Y, identity ), ~( product( identity, inverse( X )
% 12.99/13.37 , Y ) ) ] )
% 12.99/13.37 .
% 12.99/13.37 clause( 68, [ ~( =( X, d ) ), ~( product( identity, X, inverse( c ) ) ) ]
% 12.99/13.37 )
% 12.99/13.37 .
% 12.99/13.37 clause( 74, [ product( a, X, c ), ~( product( identity, X, b ) ) ] )
% 12.99/13.37 .
% 12.99/13.37 clause( 81, [ ~( product( identity, d, inverse( c ) ) ) ] )
% 12.99/13.37 .
% 12.99/13.37 clause( 99, [ ~( product( inverse( X ), Y, Z ) ), ~( product( identity, Y,
% 12.99/13.37 T ) ), product( X, Z, T ) ] )
% 12.99/13.37 .
% 12.99/13.37 clause( 147, [ ~( product( X, d, inverse( c ) ) ), ~( product( Y, Z,
% 12.99/13.37 identity ) ), ~( product( Y, Z, X ) ) ] )
% 12.99/13.37 .
% 12.99/13.37 clause( 171, [ ~( product( X, Y, Z ) ), ~( product( inverse( X ), Z, T ) )
% 12.99/13.37 , product( identity, Y, T ) ] )
% 12.99/13.37 .
% 12.99/13.37 clause( 173, [ ~( product( inverse( X ), Y, Z ) ), ~( product( Y, T, X ) )
% 12.99/13.37 , product( Z, T, identity ) ] )
% 12.99/13.37 .
% 12.99/13.37 clause( 195, [ =( multiply( X, identity ), X ) ] )
% 12.99/13.37 .
% 12.99/13.37 clause( 11938, [ ~( product( identity, X, Y ) ), product( Z, identity, Y )
% 12.99/13.37 , ~( product( identity, inverse( inverse( Z ) ), X ) ) ] )
% 12.99/13.37 .
% 12.99/13.37 clause( 11980, [ ~( product( identity, X, Y ) ), product( b, d, Y ), ~(
% 12.99/13.37 product( identity, inverse( a ), X ) ) ] )
% 12.99/13.37 .
% 12.99/13.37 clause( 12133, [ product( b, d, inverse( a ) ) ] )
% 12.99/13.37 .
% 12.99/13.37 clause( 12137, [ product( X, identity, inverse( inverse( X ) ) ) ] )
% 12.99/13.37 .
% 12.99/13.37 clause( 13007, [ =( inverse( inverse( X ) ), X ) ] )
% 12.99/13.37 .
% 12.99/13.37 clause( 27453, [ ~( product( X, Y, identity ) ), product( identity, Y,
% 12.99/13.37 inverse( X ) ) ] )
% 12.99/13.37 .
% 12.99/13.37 clause( 28854, [ product( X, d, identity ), ~( product( a, b, X ) ) ] )
% 12.99/13.37 .
% 12.99/13.37 clause( 29670, [ product( c, d, identity ) ] )
% 12.99/13.37 .
% 12.99/13.37 clause( 29730, [ ~( product( c, d, identity ) ) ] )
% 12.99/13.37 .
% 12.99/13.37 clause( 29805, [ product( c, X, identity ), ~( product( Y, Z, d ) ), ~(
% 12.99/13.37 product( Y, Z, X ) ) ] )
% 12.99/13.37 .
% 12.99/13.37 clause( 29806, [ product( c, d, X ), ~( product( Y, Z, identity ) ), ~(
% 12.99/13.37 product( Y, Z, X ) ) ] )
% 12.99/13.37 .
% 12.99/13.37 clause( 29807, [ ~( product( X, Y, identity ) ) ] )
% 12.99/13.37 .
% 12.99/13.37 clause( 29808, [ ~( product( X, Y, d ) ) ] )
% 12.99/13.37 .
% 12.99/13.37 clause( 29813, [] )
% 12.99/13.37 .
% 12.99/13.37
% 12.99/13.37
% 12.99/13.37 % SZS output end Refutation
% 12.99/13.37 found a proof!
% 12.99/13.37
% 12.99/13.37 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 12.99/13.37
% 12.99/13.37 initialclauses(
% 12.99/13.37 [ clause( 29815, [ product( identity, X, X ) ] )
% 12.99/13.37 , clause( 29816, [ product( X, identity, X ) ] )
% 12.99/13.37 , clause( 29817, [ product( inverse( X ), X, identity ) ] )
% 12.99/13.37 , clause( 29818, [ product( X, inverse( X ), identity ) ] )
% 12.99/13.37 , clause( 29819, [ product( X, Y, multiply( X, Y ) ) ] )
% 12.99/13.37 , clause( 29820, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z,
% 12.99/13.37 T ) ] )
% 12.99/13.37 , clause( 29821, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 12.99/13.37 product( Z, T, W ) ), product( X, U, W ) ] )
% 12.99/13.37 , clause( 29822, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 12.99/13.37 product( X, U, W ) ), product( Z, T, W ) ] )
% 12.99/13.37 , clause( 29823, [ product( a, b, c ) ] )
% 12.99/13.37 , clause( 29824, [ product( inverse( b ), inverse( a ), d ) ] )
% 12.99/13.37 , clause( 29825, [ ~( =( inverse( c ), d ) ) ] )
% 12.99/13.37 ] ).
% 12.99/13.37
% 12.99/13.37
% 12.99/13.37
% 12.99/13.37 subsumption(
% 12.99/13.37 clause( 0, [ product( identity, X, X ) ] )
% 12.99/13.37 , clause( 29815, [ product( identity, X, X ) ] )
% 12.99/13.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.99/13.37
% 12.99/13.37
% 12.99/13.37 subsumption(
% 12.99/13.37 clause( 1, [ product( X, identity, X ) ] )
% 12.99/13.37 , clause( 29816, [ product( X, identity, X ) ] )
% 12.99/13.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.99/13.37
% 12.99/13.37
% 12.99/13.37 subsumption(
% 12.99/13.37 clause( 2, [ product( inverse( X ), X, identity ) ] )
% 12.99/13.37 , clause( 29817, [ product( inverse( X ), X, identity ) ] )
% 12.99/13.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.99/13.37
% 12.99/13.37
% 12.99/13.37 subsumption(
% 12.99/13.37 clause( 3, [ product( X, inverse( X ), identity ) ] )
% 12.99/13.37 , clause( 29818, [ product( X, inverse( X ), identity ) ] )
% 12.99/13.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.99/13.37
% 12.99/13.37
% 12.99/13.37 subsumption(
% 12.99/13.37 clause( 4, [ product( X, Y, multiply( X, Y ) ) ] )
% 12.99/13.37 , clause( 29819, [ product( X, Y, multiply( X, Y ) ) ] )
% 12.99/13.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.99/13.37 )] ) ).
% 12.99/13.37
% 12.99/13.37
% 12.99/13.37 subsumption(
% 12.99/13.37 clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 12.99/13.37 )
% 12.99/13.37 , clause( 29820, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z,
% 12.99/13.37 T ) ] )
% 12.99/13.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 12.99/13.37 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 12.99/13.37
% 12.99/13.37
% 12.99/13.37 subsumption(
% 12.99/13.37 clause( 6, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 12.99/13.37 Z, T, W ) ), product( X, U, W ) ] )
% 12.99/13.37 , clause( 29821, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 12.99/13.37 product( Z, T, W ) ), product( X, U, W ) ] )
% 12.99/13.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 12.99/13.37 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 12.99/13.37 , 2 ), ==>( 3, 3 )] ) ).
% 12.99/13.37
% 12.99/13.37
% 12.99/13.37 subsumption(
% 12.99/13.37 clause( 7, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 12.99/13.37 X, U, W ) ), product( Z, T, W ) ] )
% 12.99/13.37 , clause( 29822, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 12.99/13.37 product( X, U, W ) ), product( Z, T, W ) ] )
% 12.99/13.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 12.99/13.37 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 12.99/13.37 , 2 ), ==>( 3, 3 )] ) ).
% 12.99/13.37
% 12.99/13.37
% 12.99/13.37 subsumption(
% 12.99/13.37 clause( 8, [ product( a, b, c ) ] )
% 12.99/13.37 , clause( 29823, [ product( a, b, c ) ] )
% 12.99/13.37 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.99/13.37
% 12.99/13.37
% 12.99/13.37 subsumption(
% 12.99/13.37 clause( 9, [ product( inverse( b ), inverse( a ), d ) ] )
% 12.99/13.37 , clause( 29824, [ product( inverse( b ), inverse( a ), d ) ] )
% 12.99/13.37 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.99/13.37
% 12.99/13.37
% 12.99/13.37 subsumption(
% 12.99/13.37 clause( 10, [ ~( =( inverse( c ), d ) ) ] )
% 12.99/13.37 , clause( 29825, [ ~( =( inverse( c ), d ) ) ] )
% 12.99/13.37 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.99/13.37
% 12.99/13.37
% 12.99/13.37 resolution(
% 12.99/13.37 clause( 29869, [ ~( product( X, Y, Z ) ), =( multiply( X, Y ), Z ) ] )
% 12.99/13.37 , clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T )
% 12.99/13.37 ] )
% 12.99/13.37 , 0, clause( 4, [ product( X, Y, multiply( X, Y ) ) ] )
% 12.99/13.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, multiply( X, Y ) ),
% 12.99/13.37 :=( T, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 12.99/13.37
% 12.99/13.37
% 12.99/13.37 subsumption(
% 12.99/13.37 clause( 18, [ ~( product( X, Y, Z ) ), =( multiply( X, Y ), Z ) ] )
% 12.99/13.37 , clause( 29869, [ ~( product( X, Y, Z ) ), =( multiply( X, Y ), Z ) ] )
% 12.99/13.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 12.99/13.37 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 12.99/13.37
% 12.99/13.37
% 12.99/13.37 resolution(
% 12.99/13.37 clause( 29871, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 12.99/13.37 , clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z,Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------