TSTP Solution File: GRP035-3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP035-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n006.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 07:34:29 EDT 2022
% Result : Unsatisfiable 6.38s 6.77s
% Output : Refutation 6.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GRP035-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n006.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 00:59:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 6.38/6.77 *** allocated 10000 integers for termspace/termends
% 6.38/6.77 *** allocated 10000 integers for clauses
% 6.38/6.77 *** allocated 10000 integers for justifications
% 6.38/6.77 Bliksem 1.12
% 6.38/6.77
% 6.38/6.77
% 6.38/6.77 Automatic Strategy Selection
% 6.38/6.77
% 6.38/6.77 Clauses:
% 6.38/6.77 [
% 6.38/6.77 [ product( identity, X, X ) ],
% 6.38/6.77 [ product( X, identity, X ) ],
% 6.38/6.77 [ product( inverse( X ), X, identity ) ],
% 6.38/6.77 [ product( X, inverse( X ), identity ) ],
% 6.38/6.77 [ product( X, Y, multiply( X, Y ) ) ],
% 6.38/6.77 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 6.38/6.77 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( Z, T, W
% 6.38/6.77 ) ), product( X, U, W ) ],
% 6.38/6.77 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( X, U, W
% 6.38/6.77 ) ), product( Z, T, W ) ],
% 6.38/6.77 [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ), ~( product(
% 6.38/6.77 X, inverse( Y ), Z ) ), 'subgroup_member'( Z ) ],
% 6.38/6.77 [ 'subgroup_member'( a ) ],
% 6.38/6.77 [ 'subgroup_member'( b ) ],
% 6.38/6.77 [ product( a, b, c ) ],
% 6.38/6.77 [ ~( 'subgroup_member'( c ) ) ]
% 6.38/6.77 ] .
% 6.38/6.77
% 6.38/6.77
% 6.38/6.77 percentage equality = 0.041667, percentage horn = 1.000000
% 6.38/6.77 This is a problem with some equality
% 6.38/6.77
% 6.38/6.77
% 6.38/6.77
% 6.38/6.77 Options Used:
% 6.38/6.77
% 6.38/6.77 useres = 1
% 6.38/6.77 useparamod = 1
% 6.38/6.77 useeqrefl = 1
% 6.38/6.77 useeqfact = 1
% 6.38/6.77 usefactor = 1
% 6.38/6.77 usesimpsplitting = 0
% 6.38/6.77 usesimpdemod = 5
% 6.38/6.77 usesimpres = 3
% 6.38/6.77
% 6.38/6.77 resimpinuse = 1000
% 6.38/6.77 resimpclauses = 20000
% 6.38/6.77 substype = eqrewr
% 6.38/6.77 backwardsubs = 1
% 6.38/6.77 selectoldest = 5
% 6.38/6.77
% 6.38/6.77 litorderings [0] = split
% 6.38/6.77 litorderings [1] = extend the termordering, first sorting on arguments
% 6.38/6.77
% 6.38/6.77 termordering = kbo
% 6.38/6.77
% 6.38/6.77 litapriori = 0
% 6.38/6.77 termapriori = 1
% 6.38/6.77 litaposteriori = 0
% 6.38/6.77 termaposteriori = 0
% 6.38/6.77 demodaposteriori = 0
% 6.38/6.77 ordereqreflfact = 0
% 6.38/6.77
% 6.38/6.77 litselect = negord
% 6.38/6.77
% 6.38/6.77 maxweight = 15
% 6.38/6.77 maxdepth = 30000
% 6.38/6.77 maxlength = 115
% 6.38/6.77 maxnrvars = 195
% 6.38/6.77 excuselevel = 1
% 6.38/6.77 increasemaxweight = 1
% 6.38/6.77
% 6.38/6.77 maxselected = 10000000
% 6.38/6.77 maxnrclauses = 10000000
% 6.38/6.77
% 6.38/6.77 showgenerated = 0
% 6.38/6.77 showkept = 0
% 6.38/6.77 showselected = 0
% 6.38/6.77 showdeleted = 0
% 6.38/6.77 showresimp = 1
% 6.38/6.77 showstatus = 2000
% 6.38/6.77
% 6.38/6.77 prologoutput = 1
% 6.38/6.77 nrgoals = 5000000
% 6.38/6.77 totalproof = 1
% 6.38/6.77
% 6.38/6.77 Symbols occurring in the translation:
% 6.38/6.77
% 6.38/6.77 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 6.38/6.77 . [1, 2] (w:1, o:29, a:1, s:1, b:0),
% 6.38/6.77 ! [4, 1] (w:0, o:22, a:1, s:1, b:0),
% 6.38/6.77 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.38/6.77 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.38/6.77 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 6.38/6.77 product [41, 3] (w:1, o:55, a:1, s:1, b:0),
% 6.38/6.77 inverse [42, 1] (w:1, o:27, a:1, s:1, b:0),
% 6.38/6.77 multiply [44, 2] (w:1, o:54, a:1, s:1, b:0),
% 6.38/6.77 'subgroup_member' [50, 1] (w:1, o:28, a:1, s:1, b:0),
% 6.38/6.77 a [53, 0] (w:1, o:19, a:1, s:1, b:0),
% 6.38/6.77 b [54, 0] (w:1, o:20, a:1, s:1, b:0),
% 6.38/6.77 c [55, 0] (w:1, o:21, a:1, s:1, b:0).
% 6.38/6.77
% 6.38/6.77
% 6.38/6.77 Starting Search:
% 6.38/6.77
% 6.38/6.77 Resimplifying inuse:
% 6.38/6.77 Done
% 6.38/6.77
% 6.38/6.77
% 6.38/6.77 Intermediate Status:
% 6.38/6.77 Generated: 5002
% 6.38/6.77 Kept: 2005
% 6.38/6.77 Inuse: 105
% 6.38/6.77 Deleted: 3
% 6.38/6.77 Deletedinuse: 2
% 6.38/6.77
% 6.38/6.77 Resimplifying inuse:
% 6.38/6.77 Done
% 6.38/6.77
% 6.38/6.77 Resimplifying inuse:
% 6.38/6.77 Done
% 6.38/6.77
% 6.38/6.77
% 6.38/6.77 Intermediate Status:
% 6.38/6.77 Generated: 14840
% 6.38/6.77 Kept: 4024
% 6.38/6.77 Inuse: 202
% 6.38/6.77 Deleted: 38
% 6.38/6.77 Deletedinuse: 12
% 6.38/6.77
% 6.38/6.77 Resimplifying inuse:
% 6.38/6.77 Done
% 6.38/6.77
% 6.38/6.77 Resimplifying inuse:
% 6.38/6.77 Done
% 6.38/6.77
% 6.38/6.77
% 6.38/6.77 Intermediate Status:
% 6.38/6.77 Generated: 22638
% 6.38/6.77 Kept: 6035
% 6.38/6.77 Inuse: 259
% 6.38/6.77 Deleted: 52
% 6.38/6.77 Deletedinuse: 25
% 6.38/6.77
% 6.38/6.77 Resimplifying inuse:
% 6.38/6.77 Done
% 6.38/6.77
% 6.38/6.77 Resimplifying inuse:
% 6.38/6.77 Done
% 6.38/6.77
% 6.38/6.77
% 6.38/6.77 Intermediate Status:
% 6.38/6.77 Generated: 36545
% 6.38/6.77 Kept: 8061
% 6.38/6.77 Inuse: 315
% 6.38/6.77 Deleted: 62
% 6.38/6.77 Deletedinuse: 32
% 6.38/6.77
% 6.38/6.77 Resimplifying inuse:
% 6.38/6.77 Done
% 6.38/6.77
% 6.38/6.77 Resimplifying inuse:
% 6.38/6.77 Done
% 6.38/6.77
% 6.38/6.77
% 6.38/6.77 Intermediate Status:
% 6.38/6.77 Generated: 48232
% 6.38/6.77 Kept: 10490
% 6.38/6.77 Inuse: 335
% 6.38/6.77 Deleted: 67
% 6.38/6.77 Deletedinuse: 36
% 6.38/6.77
% 6.38/6.77 Resimplifying inuse:
% 6.38/6.77 Done
% 6.38/6.77
% 6.38/6.77 Resimplifying inuse:
% 6.38/6.77 Done
% 6.38/6.77
% 6.38/6.77
% 6.38/6.77 Intermediate Status:
% 6.38/6.77 Generated: 58566
% 6.38/6.77 Kept: 12513
% 6.38/6.77 Inuse: 373
% 6.38/6.77 Deleted: 69
% 6.38/6.77 Deletedinuse: 36
% 6.38/6.77
% 6.38/6.77 Resimplifying inuse:
% 6.38/6.77 Done
% 6.38/6.77
% 6.38/6.77 Resimplifying inuse:
% 6.38/6.77 Done
% 6.38/6.77
% 6.38/6.77
% 6.38/6.77 Intermediate Status:
% 6.38/6.77 Generated: 69681
% 6.38/6.77 Kept: 14525
% 6.38/6.77 Inuse: 421
% 6.38/6.77 Deleted: 141
% 6.38/6.77 Deletedinuse: 87
% 6.38/6.77
% 6.38/6.77 Resimplifying inuse:
% 6.38/6.77 Done
% 6.38/6.77
% 6.38/6.77 Resimplifying inuse:
% 6.38/6.77 Done
% 6.38/6.77
% 6.38/6.77
% 6.38/6.77 Intermediate Status:
% 6.38/6.77 Generated: 83861
% 6.38/6.77 Kept: 16574
% 6.38/6.77 Inuse: 461
% 6.38/6.77 Deleted: 141
% 6.38/6.77 Deletedinuse: 87
% 6.38/6.77
% 6.38/6.77 Resimplifying inuse:
% 6.38/6.77 Done
% 6.38/6.77
% 6.38/6.77 Resimplifying inuse:
% 6.38/6.77 Done
% 6.38/6.77
% 6.38/6.77
% 6.38/6.77 Intermediate Status:
% 6.38/6.77 Generated: 100818
% 6.38/6.77 Kept: 18588
% 6.38/6.77 Inuse: 513
% 6.38/6.77 Deleted: 149
% 6.38/6.77 Deletedinuse: 87
% 6.38/6.77
% 6.38/6.77 Resimplifying inuse:
% 6.38/6.77 Done
% 6.38/6.77
% 6.38/6.77 Resimplifying inuse:
% 6.38/6.77 Done
% 6.38/6.77
% 6.38/6.77 Resimplifying clauses:
% 6.38/6.77 Done
% 6.38/6.77
% 6.38/6.77
% 6.38/6.77 Bliksems!, er is een bewijs:
% 6.38/6.77 % SZS status Unsatisfiable
% 6.38/6.77 % SZS output start Refutation
% 6.38/6.77
% 6.38/6.77 clause( 0, [ product( identity, X, X ) ] )
% 6.38/6.77 .
% 6.38/6.77 clause( 1, [ product( X, identity, X ) ] )
% 6.38/6.77 .
% 6.38/6.77 clause( 2, [ product( inverse( X ), X, identity ) ] )
% 6.38/6.77 .
% 6.38/6.77 clause( 3, [ product( X, inverse( X ), identity ) ] )
% 6.38/6.77 .
% 6.38/6.77 clause( 4, [ product( X, Y, multiply( X, Y ) ) ] )
% 6.38/6.77 .
% 6.38/6.77 clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 6.38/6.77 )
% 6.38/6.77 .
% 6.38/6.77 clause( 6, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 6.38/6.77 Z, T, W ) ), product( X, U, W ) ] )
% 6.38/6.77 .
% 6.38/6.77 clause( 7, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 6.38/6.77 X, U, W ) ), product( Z, T, W ) ] )
% 6.38/6.77 .
% 6.38/6.77 clause( 8, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ), ~(
% 6.38/6.77 product( X, inverse( Y ), Z ) ), 'subgroup_member'( Z ) ] )
% 6.38/6.77 .
% 6.38/6.77 clause( 9, [ 'subgroup_member'( a ) ] )
% 6.38/6.77 .
% 6.38/6.77 clause( 10, [ 'subgroup_member'( b ) ] )
% 6.38/6.77 .
% 6.38/6.77 clause( 11, [ product( a, b, c ) ] )
% 6.38/6.77 .
% 6.38/6.77 clause( 12, [ ~( 'subgroup_member'( c ) ) ] )
% 6.38/6.77 .
% 6.38/6.77 clause( 17, [ ~( product( X, Y, Z ) ), ~( product( Y, T, Y ) ), product( Z
% 6.38/6.77 , T, Z ) ] )
% 6.38/6.77 .
% 6.38/6.77 clause( 19, [ ~( 'subgroup_member'( X ) ), ~( product( X, inverse( X ), Y )
% 6.38/6.77 ), 'subgroup_member'( Y ) ] )
% 6.38/6.77 .
% 6.38/6.77 clause( 22, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( identity ) ]
% 6.38/6.77 )
% 6.38/6.77 .
% 6.38/6.77 clause( 27, [ ~( product( X, Y, Z ) ), =( multiply( X, Y ), Z ) ] )
% 6.38/6.77 .
% 6.38/6.77 clause( 31, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 6.38/6.77 .
% 6.38/6.77 clause( 32, [ ~( product( X, identity, Y ) ), =( X, Y ) ] )
% 6.38/6.77 .
% 6.38/6.77 clause( 47, [ 'subgroup_member'( identity ) ] )
% 6.38/6.77 .
% 6.38/6.77 clause( 62, [ ~( product( inverse( X ), Y, Z ) ), ~( product( identity, Y,
% 6.38/6.77 T ) ), product( X, Z, T ) ] )
% 6.38/6.77 .
% 6.38/6.77 clause( 100, [ product( X, Y, identity ), ~( product( identity, inverse( X
% 6.38/6.77 ), Y ) ) ] )
% 6.38/6.77 .
% 6.38/6.77 clause( 107, [ product( a, X, c ), ~( product( identity, X, b ) ) ] )
% 6.38/6.77 .
% 6.38/6.77 clause( 115, [ product( X, Y, Y ), ~( product( identity, X, identity ) ) ]
% 6.38/6.77 )
% 6.38/6.77 .
% 6.38/6.77 clause( 224, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( inverse( X )
% 6.38/6.77 ) ] )
% 6.38/6.77 .
% 6.38/6.77 clause( 266, [ 'subgroup_member'( inverse( b ) ) ] )
% 6.38/6.77 .
% 6.38/6.77 clause( 289, [ 'subgroup_member'( inverse( X ) ), ~( product( identity, X,
% 6.38/6.77 b ) ) ] )
% 6.38/6.77 .
% 6.38/6.77 clause( 512, [ ~( product( X, Y, X ) ), product( identity, Y, identity ) ]
% 6.38/6.77 )
% 6.38/6.77 .
% 6.38/6.77 clause( 644, [ =( multiply( X, identity ), X ) ] )
% 6.38/6.77 .
% 6.38/6.77 clause( 12014, [ ~( product( identity, inverse( inverse( X ) ), Y ) ), ~(
% 6.38/6.77 product( identity, Y, Z ) ), product( X, identity, Z ) ] )
% 6.38/6.77 .
% 6.38/6.77 clause( 12048, [ product( X, identity, inverse( inverse( X ) ) ) ] )
% 6.38/6.77 .
% 6.38/6.77 clause( 12563, [ =( inverse( inverse( X ) ), X ) ] )
% 6.38/6.77 .
% 6.38/6.77 clause( 13058, [ 'subgroup_member'( X ), ~( product( identity, inverse( X )
% 6.38/6.77 , b ) ) ] )
% 6.38/6.77 .
% 6.38/6.77 clause( 13589, [ ~( product( identity, inverse( X ), b ) ), ~(
% 6.38/6.77 'subgroup_member'( X ) ), 'subgroup_member'( c ) ] )
% 6.38/6.77 .
% 6.38/6.77 clause( 18864, [ ~( product( X, Y, X ) ), product( Y, Z, Z ) ] )
% 6.38/6.77 .
% 6.38/6.77 clause( 20184, [ ~( product( identity, inverse( X ), b ) ) ] )
% 6.38/6.77 .
% 6.38/6.77 clause( 20243, [ ~( product( identity, X, b ) ) ] )
% 6.38/6.77 .
% 6.38/6.77 clause( 20257, [] )
% 6.38/6.77 .
% 6.38/6.77
% 6.38/6.77
% 6.38/6.77 % SZS output end Refutation
% 6.38/6.77 found a proof!
% 6.38/6.77
% 6.38/6.77 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 6.38/6.77
% 6.38/6.77 initialclauses(
% 6.38/6.77 [ clause( 20259, [ product( identity, X, X ) ] )
% 6.38/6.77 , clause( 20260, [ product( X, identity, X ) ] )
% 6.38/6.77 , clause( 20261, [ product( inverse( X ), X, identity ) ] )
% 6.38/6.77 , clause( 20262, [ product( X, inverse( X ), identity ) ] )
% 6.38/6.77 , clause( 20263, [ product( X, Y, multiply( X, Y ) ) ] )
% 6.38/6.77 , clause( 20264, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z,
% 6.38/6.77 T ) ] )
% 6.38/6.77 , clause( 20265, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 6.38/6.77 product( Z, T, W ) ), product( X, U, W ) ] )
% 6.38/6.77 , clause( 20266, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 6.38/6.77 product( X, U, W ) ), product( Z, T, W ) ] )
% 6.38/6.77 , clause( 20267, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) )
% 6.38/6.77 , ~( product( X, inverse( Y ), Z ) ), 'subgroup_member'( Z ) ] )
% 6.38/6.77 , clause( 20268, [ 'subgroup_member'( a ) ] )
% 6.38/6.77 , clause( 20269, [ 'subgroup_member'( b ) ] )
% 6.38/6.77 , clause( 20270, [ product( a, b, c ) ] )
% 6.38/6.77 , clause( 20271, [ ~( 'subgroup_member'( c ) ) ] )
% 6.38/6.77 ] ).
% 6.38/6.77
% 6.38/6.77
% 6.38/6.77
% 6.38/6.77 subsumption(
% 6.38/6.77 clause( 0, [ product( identity, X, X ) ] )
% 6.38/6.77 , clause( 20259, [ product( identity, X, X ) ] )
% 6.38/6.77 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.38/6.77
% 6.38/6.77
% 6.38/6.77 subsumption(
% 6.38/6.77 clause( 1, [ product( X, identity, X ) ] )
% 6.38/6.77 , clause( 20260, [ product( X, identity, X ) ] )
% 6.38/6.77 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.38/6.77
% 6.38/6.77
% 6.38/6.77 subsumption(
% 6.38/6.77 clause( 2, [ product( inverse( X ), X, identity ) ] )
% 6.38/6.77 , clause( 20261, [ product( inverse( X ), X, identity ) ] )
% 6.38/6.77 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.38/6.77
% 6.38/6.77
% 6.38/6.77 subsumption(
% 6.38/6.77 clause( 3, [ product( X, inverse( X ), identity ) ] )
% 6.38/6.77 , clause( 20262, [ product( X, inverse( X ), identity ) ] )
% 6.38/6.77 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.38/6.77
% 6.38/6.77
% 6.38/6.77 subsumption(
% 6.38/6.77 clause( 4, [ product( X, Y, multiply( X, Y ) ) ] )
% 6.38/6.77 , clause( 20263, [ product( X, Y, multiply( X, Y ) ) ] )
% 6.38/6.77 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 6.38/6.77 )] ) ).
% 6.38/6.77
% 6.38/6.77
% 6.38/6.77 subsumption(
% 6.38/6.77 clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 6.38/6.77 )
% 6.38/6.77 , clause( 20264, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z,
% 6.38/6.77 T ) ] )
% 6.38/6.77 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 6.38/6.77 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 6.38/6.77
% 6.38/6.77
% 6.38/6.77 subsumption(
% 6.38/6.77 clause( 6, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 6.38/6.77 Z, T, W ) ), product( X, U, W ) ] )
% 6.38/6.77 , clause( 20265, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 6.38/6.77 product( Z, T, W ) ), product( X, U, W ) ] )
% 6.38/6.77 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 6.38/6.77 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 6.38/6.77 , 2 ), ==>( 3, 3 )] ) ).
% 6.38/6.77
% 6.38/6.77
% 6.38/6.77 subsumption(
% 6.38/6.77 clause( 7, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 6.38/6.77 X, U, W ) ), product( Z, T, W ) ] )
% 6.38/6.77 , clause( 20266, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 6.38/6.77 product( X, U, W ) ), product( Z, T, W ) ] )
% 6.38/6.77 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 6.38/6.77 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 6.38/6.77 , 2 ), ==>( 3, 3 )] ) ).
% 6.38/6.77
% 6.38/6.77
% 6.38/6.77 subsumption(
% 6.38/6.77 clause( 8, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ), ~(
% 6.38/6.77 product( X, inverse( Y ), Z ) ), 'subgroup_member'( Z ) ] )
% 6.38/6.77 , clause( 20267, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) )
% 6.38/6.77 , ~( product( X, inverse( Y ), Z ) ), 'subgroup_member'( Z ) ] )
% 6.38/6.77 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 6.38/6.77 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 6.38/6.77 ).
% 6.38/6.77
% 6.38/6.77
% 6.38/6.77 subsumption(
% 6.38/6.77 clause( 9, [ 'subgroup_member'( a ) ] )
% 6.38/6.77 , clause( 20268, [ 'subgroup_member'( a ) ] )
% 6.38/6.77 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.38/6.77
% 6.38/6.77
% 6.38/6.77 subsumption(
% 6.38/6.77 clause( 10, [ 'subgroup_member'( b ) ] )
% 6.38/6.77 , clause( 20269, [ 'subgroup_member'( b ) ] )
% 6.38/6.77 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.38/6.77
% 6.38/6.77
% 6.38/6.77 subsumption(
% 6.38/6.77 clause( 11, [ product( a, b, c ) ] )
% 6.38/6.77 , clause( 20270, [ product( a, b, c ) ] )
% 6.38/6.77 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.38/6.77
% 6.38/6.77
% 6.38/6.77 subsumption(
% 6.38/6.77 clause( 12, [ ~( 'subgroup_member'( c ) ) ] )
% 6.38/6.77 , clause( 20271, [ ~( 'subgroup_member'( c ) ) ] )
% 6.38/6.77 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.38/6.77
% 6.38/6.77
% 6.38/6.77 factor(
% 6.38/6.77 clause( 20338, [ ~( product( X, Y, Z ) ), ~( product( Y, T, Y ) ), product(
% 6.38/6.77 Z, T, Z ) ] )
% 6.38/6.77 , clause( 7, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 6.38/6.77 X, U, W ) ), product( Z, T, W ) ] )
% 6.38/6.77 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 6.38/6.77 :=( U, Y ), :=( W, Z )] )).
% 6.38/6.77
% 6.38/6.77
% 6.38/6.77 subsumption(
% 6.38/6.77 clause( 17, [ ~( product( X, Y, Z ) ), ~( product( Y, T, Y ) ), product( Z
% 6.38/6.77 , T, Z ) ] )
% 6.38/6.77 , clause( 20338, [ ~( product( X, Y, Z ) ), ~( product( Y, T, Y ) ),
% 6.38/6.77 product( Z, T, Z ) ] )
% 6.38/6.77 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 6.38/6.77 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 6.38/6.77
% 6.38/6.77
% 6.38/6.77 factor(
% 6.38/6.77 clause( 20341, [ ~( 'subgroup_member'( X ) ), ~( product( X, inverse( X ),
% 6.38/6.77 Y ) ), 'subgroup_member'( Y ) ] )
% 6.38/6.77 , clause( 8, [ ~( 'subgroup_member'( X ) ), ~( 'subgroCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------