TSTP Solution File: GRP031-2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP031-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.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 07:34:27 EDT 2022
% Result : Unsatisfiable 1.79s 2.18s
% Output : Refutation 1.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP031-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n013.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 12:12:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.79/2.18 *** allocated 10000 integers for termspace/termends
% 1.79/2.18 *** allocated 10000 integers for clauses
% 1.79/2.18 *** allocated 10000 integers for justifications
% 1.79/2.18 Bliksem 1.12
% 1.79/2.18
% 1.79/2.18
% 1.79/2.18 Automatic Strategy Selection
% 1.79/2.18
% 1.79/2.18 Clauses:
% 1.79/2.18 [
% 1.79/2.18 [ product( X, Y, multiply( X, Y ) ) ],
% 1.79/2.18 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish( Z, T ) ]
% 1.79/2.18 ,
% 1.79/2.18 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( Z, T, W
% 1.79/2.18 ) ), product( X, U, W ) ],
% 1.79/2.18 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( X, U, W
% 1.79/2.18 ) ), product( Z, T, W ) ],
% 1.79/2.18 [ product( X, inverse( X ), identity ) ],
% 1.79/2.18 [ product( X, identity, X ) ],
% 1.79/2.18 [ ~( product( X, a, identity ) ) ]
% 1.79/2.18 ] .
% 1.79/2.18
% 1.79/2.18
% 1.79/2.18 percentage equality = 0.000000, percentage horn = 1.000000
% 1.79/2.18 This is a near-Horn, non-equality problem
% 1.79/2.18
% 1.79/2.18
% 1.79/2.18 Options Used:
% 1.79/2.18
% 1.79/2.18 useres = 1
% 1.79/2.18 useparamod = 0
% 1.79/2.18 useeqrefl = 0
% 1.79/2.18 useeqfact = 0
% 1.79/2.18 usefactor = 1
% 1.79/2.18 usesimpsplitting = 0
% 1.79/2.18 usesimpdemod = 0
% 1.79/2.18 usesimpres = 4
% 1.79/2.18
% 1.79/2.18 resimpinuse = 1000
% 1.79/2.18 resimpclauses = 20000
% 1.79/2.18 substype = standard
% 1.79/2.18 backwardsubs = 1
% 1.79/2.18 selectoldest = 5
% 1.79/2.18
% 1.79/2.18 litorderings [0] = split
% 1.79/2.18 litorderings [1] = liftord
% 1.79/2.18
% 1.79/2.18 termordering = none
% 1.79/2.18
% 1.79/2.18 litapriori = 1
% 1.79/2.18 termapriori = 0
% 1.79/2.18 litaposteriori = 0
% 1.79/2.18 termaposteriori = 0
% 1.79/2.18 demodaposteriori = 0
% 1.79/2.18 ordereqreflfact = 0
% 1.79/2.18
% 1.79/2.18 litselect = negative
% 1.79/2.18
% 1.79/2.18 maxweight = 30000
% 1.79/2.18 maxdepth = 30000
% 1.79/2.18 maxlength = 115
% 1.79/2.18 maxnrvars = 195
% 1.79/2.18 excuselevel = 0
% 1.79/2.18 increasemaxweight = 0
% 1.79/2.18
% 1.79/2.18 maxselected = 10000000
% 1.79/2.18 maxnrclauses = 10000000
% 1.79/2.18
% 1.79/2.18 showgenerated = 0
% 1.79/2.18 showkept = 0
% 1.79/2.18 showselected = 0
% 1.79/2.18 showdeleted = 0
% 1.79/2.18 showresimp = 1
% 1.79/2.18 showstatus = 2000
% 1.79/2.18
% 1.79/2.18 prologoutput = 1
% 1.79/2.18 nrgoals = 5000000
% 1.79/2.18 totalproof = 1
% 1.79/2.18
% 1.79/2.18 Symbols occurring in the translation:
% 1.79/2.18
% 1.79/2.18 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.79/2.18 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 1.79/2.18 ! [4, 1] (w:1, o:18, a:1, s:1, b:0),
% 1.79/2.18 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.79/2.18 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.79/2.18 multiply [41, 2] (w:1, o:49, a:1, s:1, b:0),
% 1.79/2.18 product [42, 3] (w:1, o:51, a:1, s:1, b:0),
% 1.79/2.18 equalish [45, 2] (w:1, o:50, a:1, s:1, b:0),
% 1.79/2.18 inverse [49, 1] (w:1, o:23, a:1, s:1, b:0),
% 1.79/2.18 identity [50, 0] (w:1, o:16, a:1, s:1, b:0),
% 1.79/2.18 a [51, 0] (w:1, o:17, a:1, s:1, b:0).
% 1.79/2.18
% 1.79/2.18
% 1.79/2.18 Starting Search:
% 1.79/2.18
% 1.79/2.18 Resimplifying inuse:
% 1.79/2.18 Done
% 1.79/2.18
% 1.79/2.18
% 1.79/2.18 Intermediate Status:
% 1.79/2.18 Generated: 3121
% 1.79/2.18 Kept: 2042
% 1.79/2.18 Inuse: 260
% 1.79/2.18 Deleted: 42
% 1.79/2.18 Deletedinuse: 21
% 1.79/2.18
% 1.79/2.18 Resimplifying inuse:
% 1.79/2.18 Done
% 1.79/2.18
% 1.79/2.18 Resimplifying inuse:
% 1.79/2.18 Done
% 1.79/2.18
% 1.79/2.18
% 1.79/2.18 Intermediate Status:
% 1.79/2.18 Generated: 6339
% 1.79/2.18 Kept: 4057
% 1.79/2.18 Inuse: 401
% 1.79/2.18 Deleted: 116
% 1.79/2.18 Deletedinuse: 75
% 1.79/2.18
% 1.79/2.18 Resimplifying inuse:
% 1.79/2.18 Done
% 1.79/2.18
% 1.79/2.18 Resimplifying inuse:
% 1.79/2.18 Done
% 1.79/2.18
% 1.79/2.18
% 1.79/2.18 Intermediate Status:
% 1.79/2.18 Generated: 9516
% 1.79/2.18 Kept: 6098
% 1.79/2.18 Inuse: 531
% 1.79/2.18 Deleted: 168
% 1.79/2.18 Deletedinuse: 103
% 1.79/2.18
% 1.79/2.18 Resimplifying inuse:
% 1.79/2.18 Done
% 1.79/2.18
% 1.79/2.18 Resimplifying inuse:
% 1.79/2.18 Done
% 1.79/2.18
% 1.79/2.18
% 1.79/2.18 Intermediate Status:
% 1.79/2.18 Generated: 12329
% 1.79/2.18 Kept: 8128
% 1.79/2.18 Inuse: 629
% 1.79/2.18 Deleted: 217
% 1.79/2.18 Deletedinuse: 118
% 1.79/2.18
% 1.79/2.18 Resimplifying inuse:
% 1.79/2.18 Done
% 1.79/2.18
% 1.79/2.18 Resimplifying inuse:
% 1.79/2.18 Done
% 1.79/2.18
% 1.79/2.18
% 1.79/2.18 Intermediate Status:
% 1.79/2.18 Generated: 15268
% 1.79/2.18 Kept: 10141
% 1.79/2.18 Inuse: 754
% 1.79/2.18 Deleted: 265
% 1.79/2.18 Deletedinuse: 124
% 1.79/2.18
% 1.79/2.18 Resimplifying inuse:
% 1.79/2.18 Done
% 1.79/2.18
% 1.79/2.18 Resimplifying inuse:
% 1.79/2.18 Done
% 1.79/2.18
% 1.79/2.18
% 1.79/2.18 Intermediate Status:
% 1.79/2.18 Generated: 17974
% 1.79/2.18 Kept: 12172
% 1.79/2.18 Inuse: 849
% 1.79/2.18 Deleted: 297
% 1.79/2.18 Deletedinuse: 131
% 1.79/2.18
% 1.79/2.18 Resimplifying inuse:
% 1.79/2.18 Done
% 1.79/2.18
% 1.79/2.18 Resimplifying inuse:
% 1.79/2.18 Done
% 1.79/2.18
% 1.79/2.18
% 1.79/2.18 Intermediate Status:
% 1.79/2.18 Generated: 20584
% 1.79/2.18 Kept: 14438
% 1.79/2.18 Inuse: 904
% 1.79/2.18 Deleted: 311
% 1.79/2.18 Deletedinuse: 134
% 1.79/2.18
% 1.79/2.18 Resimplifying inuse:
% 1.79/2.18 Done
% 1.79/2.18
% 1.79/2.18 Resimplifying inuse:
% 1.79/2.18 Done
% 1.79/2.18
% 1.79/2.18
% 1.79/2.18 Intermediate Status:
% 1.79/2.18 Generated: 23888
% 1.79/2.18 Kept: 16455
% 1.79/2.18 Inuse: 980
% 1.79/2.18 Deleted: 335
% 1.79/2.18 Deletedinuse: 140
% 1.79/2.18
% 1.79/2.18 Resimplifying inuse:
% 1.79/2.18 Done
% 1.79/2.18
% 1.79/2.18 Resimplifying inuse:
% 1.79/2.18 Done
% 1.79/2.18
% 1.79/2.18
% 1.79/2.18 Intermediate Status:
% 1.79/2.18 Generated: 27006
% 1.79/2.18 Kept: 18475
% 1.79/2.18 Inuse: 1042
% 1.79/2.18 Deleted: 364
% 1.79/2.18 Deletedinuse: 156
% 1.79/2.18
% 1.79/2.18 Resimplifying inuse:
% 1.79/2.18 Done
% 1.79/2.18
% 1.79/2.18 Resimplifying inuse:
% 1.79/2.18 Done
% 1.79/2.18
% 1.79/2.18 Resimplifying clauses:
% 1.79/2.18 Done
% 1.79/2.18
% 1.79/2.18
% 1.79/2.18 Bliksems!, er is een bewijs:
% 1.79/2.18 % SZS status Unsatisfiable
% 1.79/2.18 % SZS output start Refutation
% 1.79/2.18
% 1.79/2.18 clause( 0, [ product( X, Y, multiply( X, Y ) ) ] )
% 1.79/2.18 .
% 1.79/2.18 clause( 2, [ ~( product( Y, T, U ) ), ~( product( X, Y, Z ) ), product( X,
% 1.79/2.18 U, W ), ~( product( Z, T, W ) ) ] )
% 1.79/2.18 .
% 1.79/2.18 clause( 3, [ ~( product( X, Y, Z ) ), ~( product( X, U, W ) ), product( Z,
% 1.79/2.18 T, W ), ~( product( Y, T, U ) ) ] )
% 1.79/2.18 .
% 1.79/2.18 clause( 4, [ product( X, inverse( X ), identity ) ] )
% 1.79/2.18 .
% 1.79/2.18 clause( 5, [ product( X, identity, X ) ] )
% 1.79/2.18 .
% 1.79/2.18 clause( 6, [ ~( product( X, a, identity ) ) ] )
% 1.79/2.18 .
% 1.79/2.18 clause( 9, [ ~( product( X, Y, Z ) ), product( T, Z, Z ), ~( product( T, X
% 1.79/2.18 , X ) ) ] )
% 1.79/2.18 .
% 1.79/2.18 clause( 10, [ ~( product( X, X, Y ) ), product( Z, Y, Z ), ~( product( Z, X
% 1.79/2.18 , Z ) ) ] )
% 1.79/2.18 .
% 1.79/2.18 clause( 21, [ ~( product( X, Y, Z ) ), product( T, Z, multiply( U, Y ) ),
% 1.79/2.18 ~( product( T, X, U ) ) ] )
% 1.79/2.18 .
% 1.79/2.18 clause( 22, [ ~( product( X, inverse( Y ), Z ) ), product( T, Z, identity )
% 1.79/2.18 , ~( product( T, X, Y ) ) ] )
% 1.79/2.18 .
% 1.79/2.18 clause( 23, [ ~( product( X, identity, Y ) ), product( Z, Y, T ), ~(
% 1.79/2.18 product( Z, X, T ) ) ] )
% 1.79/2.18 .
% 1.79/2.18 clause( 32, [ ~( product( X, multiply( Y, T ), U ) ), product( Z, T, U ),
% 1.79/2.18 ~( product( X, Y, Z ) ) ] )
% 1.79/2.18 .
% 1.79/2.18 clause( 33, [ ~( product( X, identity, T ) ), product( Z, inverse( Y ), T )
% 1.79/2.18 , ~( product( X, Y, Z ) ) ] )
% 1.79/2.18 .
% 1.79/2.18 clause( 34, [ ~( product( X, Y, Z ) ), product( Z, identity, T ), ~(
% 1.79/2.18 product( X, Y, T ) ) ] )
% 1.79/2.18 .
% 1.79/2.18 clause( 35, [ product( Y, inverse( identity ), Y ), ~( product( X, identity
% 1.79/2.18 , Y ) ) ] )
% 1.79/2.18 .
% 1.79/2.18 clause( 40, [ product( X, inverse( identity ), X ) ] )
% 1.79/2.18 .
% 1.79/2.18 clause( 46, [ product( inverse( identity ), Y, Y ), ~( product( inverse(
% 1.79/2.18 identity ), X, Y ) ) ] )
% 1.79/2.18 .
% 1.79/2.18 clause( 48, [ product( identity, Y, Y ), ~( product( identity, X, Y ) ) ]
% 1.79/2.18 )
% 1.79/2.18 .
% 1.79/2.18 clause( 49, [ product( identity, multiply( identity, X ), multiply(
% 1.79/2.18 identity, X ) ) ] )
% 1.79/2.18 .
% 1.79/2.18 clause( 50, [ product( identity, Z, Z ), ~( product( multiply( identity, X
% 1.79/2.18 ), Y, Z ) ) ] )
% 1.79/2.18 .
% 1.79/2.18 clause( 57, [ product( Y, X, Y ), ~( product( identity, identity, X ) ) ]
% 1.79/2.18 )
% 1.79/2.18 .
% 1.79/2.18 clause( 58, [ product( X, multiply( identity, identity ), X ) ] )
% 1.79/2.18 .
% 1.79/2.18 clause( 98, [ product( X, Z, multiply( identity, Y ) ), ~( product( inverse(
% 1.79/2.18 X ), Y, Z ) ) ] )
% 1.79/2.18 .
% 1.79/2.18 clause( 99, [ product( Z, Y, multiply( Z, X ) ), ~( product( identity, X, Y
% 1.79/2.18 ) ) ] )
% 1.79/2.18 .
% 1.79/2.18 clause( 100, [ product( X, identity, multiply( X, multiply( identity,
% 1.79/2.18 identity ) ) ) ] )
% 1.79/2.18 .
% 1.79/2.18 clause( 102, [ product( X, multiply( identity, Y ), multiply( X, Y ) ) ] )
% 1.79/2.18 .
% 1.79/2.18 clause( 134, [ product( X, Y, identity ), ~( product( identity, inverse( X
% 1.79/2.18 ), Y ) ) ] )
% 1.79/2.18 .
% 1.79/2.18 clause( 166, [ product( Z, Y, multiply( Z, X ) ), ~( product( multiply(
% 1.79/2.18 identity, X ), identity, Y ) ) ] )
% 1.79/2.18 .
% 1.79/2.18 clause( 175, [ product( X, Y, identity ), ~( product( inverse( X ),
% 1.79/2.18 identity, Y ) ) ] )
% 1.79/2.18 .
% 1.79/2.18 clause( 337, [ product( X, Y, Z ), ~( product( X, multiply( inverse(
% 1.79/2.18 identity ), Y ), Z ) ) ] )
% 1.79/2.18 .
% 1.79/2.18 clause( 353, [ product( X, multiply( inverse( X ), multiply( identity,
% 1.79/2.18 identity ) ), identity ) ] )
% 1.79/2.18 .
% 1.79/2.18 clause( 449, [ product( Y, identity, X ), ~( product( X, identity, Y ) ) ]
% 1.79/2.18 )
% 1.79/2.18 .
% 1.79/2.18 clause( 650, [ product( inverse( identity ), identity, identity ) ] )
% 1.79/2.18 .
% 1.79/2.18 clause( 665, [ product( inverse( identity ), Y, Y ), ~( product( identity,
% 1.79/2.18 X, Y ) ) ] )
% 1.79/2.18 .
% 1.79/2.18 clause( 2130, [ product( X, identity, multiply( identity, inverse( inverse(
% 1.79/2.18 X ) ) ) ) ] )
% 1.79/2.18 .
% 1.79/2.18 clause( 2190, [ product( multiply( identity, inverse( inverse( X ) ) ),
% 1.79/2.18 identity, X ) ] )
% 1.79/2.18 .
% 1.79/2.18 clause( 2240, [ product( identity, X, X ) ] )
% 1.79/2.18 .
% 1.79/2.18 clause( 2253, [ product( inverse( identity ), X, X ) ] )
% 1.79/2.18 .
% 1.79/2.18 clause( 2261, [ product( identity, Y, X ), ~( product( X, identity, Y ) ) ]
% 1.79/2.18 )
% 1.79/2.18 .
% 1.79/2.18 clause( 2277, [ product( Y, identity, X ), ~( product( inverse( identity )
% 1.79/2.18 , X, Y ) ) ] )
% 1.79/2.18 .
% 1.79/2.18 clause( 5461, [ product( X, Y, multiply( X, inverse( inverse( Y ) ) ) ) ]
% 1.79/2.18 )
% 1.79/2.18 .
% 1.79/2.18 clause( 16152, [ product( multiply( inverse( identity ), inverse( inverse(
% 1.79/2.18 X ) ) ), identity, X ) ] )
% 1.79/2.18 .
% 1.79/2.18 clause( 17178, [ product( X, identity, multiply( inverse( identity ),
% 1.79/2.18 inverse( inverse( X ) ) ) ) ] )
% 1.79/2.18 .
% 1.79/2.18 clause( 17260, [ product( identity, multiply( inverse( identity ), inverse(
% 1.79/2.18 inverse( X ) ) ), X ) ] )
% 1.79/2.18 .
% 1.79/2.18 clause( 20040, [ product( identity, inverse( inverse( X ) ), X ) ] )
% 1.79/2.18 .
% 1.79/2.18 clause( 20110, [ product( inverse( X ), X, identity ) ] )
% 1.79/2.18 .
% 1.79/2.18 clause( 20169, [] )
% 1.79/2.18 .
% 1.79/2.18
% 1.79/2.18
% 1.79/2.18 % SZS output end Refutation
% 1.79/2.18 found a proof!
% 1.79/2.18
% 1.79/2.18 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.79/2.18
% 1.79/2.18 initialclauses(
% 1.79/2.18 [ clause( 20171, [ product( X, Y, multiply( X, Y ) ) ] )
% 1.79/2.18 , clause( 20172, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ),
% 1.79/2.18 equalish( Z, T ) ] )
% 1.79/2.18 , clause( 20173, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 1.79/2.18 product( Z, T, W ) ), product( X, U, W ) ] )
% 1.79/2.18 , clause( 20174, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 1.79/2.18 product( X, U, W ) ), product( Z, T, W ) ] )
% 1.79/2.18 , clause( 20175, [ product( X, inverse( X ), identity ) ] )
% 1.79/2.18 , clause( 20176, [ product( X, identity, X ) ] )
% 1.79/2.18 , clause( 20177, [ ~( product( X, a, identity ) ) ] )
% 1.79/2.18 ] ).
% 1.79/2.18
% 1.79/2.18
% 1.79/2.18
% 1.79/2.18 subsumption(
% 1.79/2.18 clause( 0, [ product( X, Y, multiply( X, Y ) ) ] )
% 1.79/2.18 , clause( 20171, [ product( X, Y, multiply( X, Y ) ) ] )
% 1.79/2.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.79/2.18 )] ) ).
% 1.79/2.18
% 1.79/2.18
% 1.79/2.18 subsumption(
% 1.79/2.18 clause( 2, [ ~( product( Y, T, U ) ), ~( product( X, Y, Z ) ), product( X,
% 1.79/2.18 U, W ), ~( product( Z, T, W ) ) ] )
% 1.79/2.18 , clause( 20173, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 1.79/2.18 product( Z, T, W ) ), product( X, U, W ) ] )
% 1.79/2.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.79/2.18 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 1.79/2.18 , 3 ), ==>( 3, 2 )] ) ).
% 1.79/2.18
% 1.79/2.18
% 1.79/2.18 subsumption(
% 1.79/2.18 clause( 3, [ ~( product( X, Y, Z ) ), ~( product( X, U, W ) ), product( Z,
% 1.79/2.18 T, W ), ~( product( Y, T, U ) ) ] )
% 1.79/2.18 , clause( 20174, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 1.79/2.18 product( X, U, W ) ), product( Z, T, W ) ] )
% 1.79/2.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.79/2.18 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 3 ), ==>( 2
% 1.79/2.18 , 1 ), ==>( 3, 2 )] ) ).
% 1.79/2.18
% 1.79/2.18
% 1.79/2.18 subsumption(
% 1.79/2.18 clause( 4, [ product( X, inverse( X ), identity ) ] )
% 1.79/2.18 , clause( 20175, [ product( X, inverse( X ), identity ) ] )
% 1.79/2.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.79/2.18
% 1.79/2.18
% 1.79/2.18 subsumption(
% 1.79/2.18 clause( 5, [ product( X, identity, X ) ] )
% 1.79/2.18 , clause( 20176, [ product( X, identity, X ) ] )
% 1.79/2.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.79/2.18
% 1.79/2.18
% 1.79/2.18 subsumption(
% 1.79/2.18 clause( 6, [ ~( product( X, a, identity ) ) ] )
% 1.79/2.18 , clause( 20177, [ ~( product( X, a, identity ) ) ] )
% 1.79/2.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.79/2.18
% 1.79/2.18
% 1.79/2.18 factor(
% 1.79/2.18 clause( 20220, [ ~( product( X, Y, Z ) ), ~( product( T, X, X ) ), product(
% 1.79/2.18 T, Z, Z ) ] )
% 1.79/2.18 , clause( 2, [ ~( product( Y, T, U ) ), ~( product( X, Y, Z ) ), product( X
% 1.79/2.18 , U, W ), ~( product( Z, T, W ) ) ] )
% 1.79/2.18 , 0, 3, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, X ), :=( T, Y ),
% 1.79/2.18 :=( U, Z ), :=( W, Z )] )).
% 1.79/2.18
% 1.79/2.18
% 1.79/2.18 subsumption(
% 1.79/2.18 clause( 9, [ ~( product( X, Y, Z ) ), product( T, Z, Z ), ~( product( T, X
% 1.79/2.18 , X ) ) ] )
% 1.79/2.18 , clause( 20220, [ ~( product( X, Y, Z ) ), ~( product( T, X, X ) ),
% 1.79/2.18 product( T, Z, Z ) ] )
% 1.79/2.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.79/2.18 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 1.79/2.18
% 1.79/2.18
% 1.79/2.18 factor(
% 1.79/2.18 clause( 20225, [ ~( product( X, X, Y ) ), ~( product( Z, X, Z ) ), product(
% 1.79/2.18 Z, Y, Z ) ] )
% 1.79/2.18 , clause( 2, [ ~( product( Y, T, U ) ), ~( product( X, Y, Z ) ), product( X
% 1.79/2.18 , U, W ), ~( product( Z, T, W ) ) ] )
% 1.79/2.18 , 1, 3, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Z ), :=( T, X ),
% 1.79/2.18 :=( U, Y ), :=( W, Z )] )).
% 1.79/2.18
% 1.79/2.18
% 1.79/2.18 subsumption(
% 1.79/2.18 clause( 10, [ ~( product( X, X, Y ) ), product( Z, Y, Z ), ~( product( Z, X
% 1.79/2.18 , Z ) ) ] )
% 1.79/2.18 , clause( 20225, [ ~( product( X, X, Y ) ), ~( product( Z, X, Z ) ),
% 1.79/2.18 product( Z, Y, Z ) ] )
% 1.79/2.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.79/2.18 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 1.79/2.18
% 1.79/2.18
% 1.79/2.18 resolution(
% 1.79/2.18 clause( 20229, [ ~( product( X, Y, Z ) ), ~( product( T, X, U ) ), product(
% 1.79/2.18 T, Z, multiply( U, Y ) ) ] )
% 1.79/2.18 , clause( 2, [ ~( product( Y, T, U ) ), ~( product( X, Y, Z ) ), product( X
% 1.79/2.18 , U, W ), ~( product( Z, T, W ) ) ] )
% 1.79/2.18 , 3, clause( 0, [ product( X, Y, multiply( X, Y ) ) ] )
% 1.79/2.18 , 0, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, U ), :=( T, Y ),
% 1.79/2.18 :=( U, Z ), :=( W, multiply( U, Y ) )] ), substitution( 1, [ :=( X, U ),
% 1.79/2.18 :=( Y, Y )] )).
% 1.79/2.18
% 1.79/2.18
% 1.79/2.18 subsumption(
% 1.79/2.18 clause( 21, [ ~( product( X, Y, Z ) ), product( T, Z, multiply( U, Y ) ),
% 1.79/2.18 ~( product( T, X, U ) ) ] )
% 1.79/2.18 , clause( 20229, [ ~( product( X, Y, Z ) ), ~( product( T, X, U ) ),
% 1.79/2.18 product( T, Z, multiply( U, Y ) ) ] )
% 1.79/2.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.79/2.18 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] )
% 1.79/2.18 ).
% 1.79/2.18
% 1.79/2.18
% 1.79/2.18 resolution(
% 1.79/2.18 clause( 20234, [ ~( product( X, inverse( Y ), Z ) ), ~( product( T, X, Y )
% 1.79/2.18 ), product( T, Z, identity ) ] )
% 1.79/2.18 , clause( 2, [ ~( product( Y, T, U ) ), ~( product( X, Y, Z ) ), product( X
% 1.79/2.18 , U, W ), ~( product( Z, T, W ) ) ] )
% 1.79/2.18 , 3, clause( 4, [ product( X, inverse( X ), identity ) ] )
% 1.79/2.18 , 0, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, inverse(
% 1.79/2.18 Y ) ), :=( U, Z ), :=( W, identity )] ), substitution( 1, [ :=( X, Y )] )
% 1.79/2.18 ).
% 1.79/2.18
% 1.79/2.18
% 1.79/2.18 subsumption(
% 1.79/2.18 clause( 22, [ ~( product( X, inverse( Y ), Z ) ), product( T, Z, identity )
% 1.79/2.18 , ~( product( T, X, Y ) ) ] )
% 1.79/2.18 , clause( 20234, [ ~( product( X, inverse( Y ), Z ) ), ~( product( T, X, Y
% 1.79/2.18 ) ), product( T, Z, identity ) ] )
% 1.79/2.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.79/2.18 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 1.79/2.18
% 1.79/2.18
% 1.79/2.18 resolution(
% 1.79/2.18 clause( 20238, [ ~( product( X, identity, Y ) ), ~( product( Z, X, T ) ),
% 1.79/2.18 product( Z, Y, T ) ] )
% 1.79/2.18 , clause( 2, [ ~( product( Y, T, U ) ), ~( product( X, Y, Z ) ), product( X
% 1.79/2.18 , U, W ), ~( product( Z, T, W ) ) ] )
% 1.79/2.18 , 3, clause( 5, [ product( X, identity, X ) ] )
% 1.79/2.18 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, T ), :=( T, identity
% 1.79/2.18 ), :=( U, Y ), :=( W, T )] ), substitution( 1, [ :=( X, T )] )).
% 1.79/2.18
% 1.79/2.18
% 1.79/2.18 subsumption(
% 1.79/2.18 clause( 23, [ ~( product( X, identity, Y ) ), product( Z, Y, T ), ~(
% 1.79/2.18 product( Z, X, T ) ) ] )
% 1.79/2.18 , clause( 20238, [ ~( product( X, identity, Y ) ), ~( product( Z, X, T ) )
% 1.79/2.18 , product( Z, Y, T ) ] )
% 1.79/2.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.79/2.18 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 1.79/2.18
% 1.79/2.18
% 1.79/2.18 resolution(
% 1.79/2.18 clause( 20243, [ ~( product( X, Y, Z ) ), ~( product( X, multiply( Y, T ),
% 1.79/2.18 U ) ), product( Z, T, U ) ] )
% 1.79/2.18 , clause( 3, [ ~( product( X, Y, Z ) ), ~( product( X, U, W ) ), product( Z
% 1.79/2.18 , T, W ), ~( product( Y, T, U ) ) ] )
% 1.79/2.18 , 3, clause( 0, [ product( X, Y, multiply( X, Y ) ) ] )
% 1.79/2.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 1.79/2.18 :=( U, multiply( Y, T ) ), :=( W, U )] ), substitution( 1, [ :=( X, Y ),
% 1.79/2.18 :=( Y, T )] )).
% 1.79/2.18
% 1.79/2.18
% 1.79/2.18 subsumption(
% 1.79/2.18 clause( 32, [ ~( product( X, multiply( Y, T ), U ) ), product( Z, T, U ),
% 1.79/2.18 ~( product( X, Y, Z ) ) ] )
% 1.79/2.18 , clause( 20243, [ ~( product( X, Y, Z ) ), ~( product( X, multiply( Y, T )
% 1.79/2.18 , U ) ), product( Z, T, U ) ] )
% 1.79/2.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.79/2.18 , U )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] )
% 1.79/2.18 ).
% 1.79/2.18
% 1.79/2.18
% 1.79/2.18 resolution(
% 1.79/2.18 clause( 20248, [ ~( product( X, Y, Z ) ), ~( product( X, identity, T ) ),
% 1.79/2.18 product( Z, inverse( Y ), T ) ] )
% 1.79/2.18 , clause( 3, [ ~( product( X, Y, Z ) ), ~( product( X, U, W ) ), product( Z
% 1.79/2.18 , T, W ), ~( product( Y, T, U ) ) ] )
% 1.79/2.18 , 3, clause( 4, [ product( X, inverse( X ), identity ) ] )
% 1.79/2.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, inverse(
% 1.79/2.18 Y ) ), :=( U, identity ), :=( W, T )] ), substitution( 1, [ :=( X, Y )] )
% 1.79/2.18 ).
% 1.79/2.18
% 1.79/2.18
% 1.79/2.18 subsumption(
% 1.79/2.18 clause( 33, [ ~( product( X, identity, T ) ), product( Z, inverse( Y ), T )
% 1.79/2.18 , ~( product( X, Y, Z ) ) ] )
% 1.79/2.18 , clause( 20248, [ ~( product( X, Y, Z ) ), ~( product( X, identity, T ) )
% 1.79/2.18 , product( Z, inverse( Y ), T ) ] )
% 1.79/2.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.79/2.18 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 1.79/2.18
% 1.79/2.18
% 1.79/2.18 resolution(
% 1.79/2.18 clause( 20253, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), product(
% 1.79/2.18 Z, identity, T ) ] )
% 1.79/2.18 , clause( 3, [ ~( product( X, Y, Z ) ), ~( product( X, U, W ) ), product( Z
% 1.79/2.18 , T, W ), ~( product( Y, T, U ) ) ] )
% 1.79/2.18 , 3, clause( 5, [ product( X, identity, X ) ] )
% 1.79/2.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, identity
% 1.79/2.18 ), :=( U, Y ), :=( W, T )] ), substitution( 1, [ :=( X, Y )] )).
% 1.79/2.18
% 1.79/2.18
% 1.79/2.18 subsumption(
% 1.79/2.18 clause( 34, [ ~( product( X, Y, Z ) ), product( Z, identity, T ), ~(
% 1.79/2.18 product( X, Y, T ) ) ] )
% 1.79/2.18 , clause( 20253, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ),
% 1.79/2.18 product( Z, identity, T ) ] )
% 1.79/2.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.79/2.18 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 1.79/2.18
% 1.79/2.18
% 1.79/2.18 factor(
% 1.79/2.18 clause( 20257, [ ~( product( X, identity, Y ) ), product( Y, inverse(
% 1.79/2.18 identity ), Y ) ] )
% 1.79/2.18 , clause( 33, [ ~( product( X, identity, T ) ), product( Z, inverse( Y ), T
% 1.79/2.18 ), ~( product( X, Y, Z ) ) ] )
% 1.79/2.18 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, identity ), :=( Z, Y ), :=( T
% 1.79/2.18 , Y )] )).
% 1.79/2.18
% 1.79/2.18
% 1.79/2.18 subsumption(
% 1.79/2.18 clause( 35, [ product( Y, inverse( identity ), Y ), ~( product( X, identity
% 1.79/2.18 , Y ) ) ] )
% 1.79/2.18 , clause( 20257, [ ~( product( X, identity, Y ) ), product( Y, inverse(
% 1.79/2.18 identity ), Y ) ] )
% 1.79/2.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 1.79/2.18 ), ==>( 1, 0 )] ) ).
% 1.79/2.18
% 1.79/2.18
% 1.79/2.18 resolution(
% 1.79/2.18 clause( 20258, [ product( X, inverse( identity ), X ) ] )
% 1.79/2.18 , clause( 35, [ product( Y, inverse( identity ), Y ), ~( product( X,
% 1.79/2.18 identity, Y ) ) ] )
% 1.79/2.18 , 1, clause( 5, [ product( X, identity, X ) ] )
% 1.79/2.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [ :=( X
% 1.79/2.19 , X )] )).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 subsumption(
% 1.79/2.19 clause( 40, [ product( X, inverse( identity ), X ) ] )
% 1.79/2.19 , clause( 20258, [ product( X, inverse( identity ), X ) ] )
% 1.79/2.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 resolution(
% 1.79/2.19 clause( 20260, [ ~( product( inverse( identity ), X, Y ) ), product(
% 1.79/2.19 inverse( identity ), Y, Y ) ] )
% 1.79/2.19 , clause( 9, [ ~( product( X, Y, Z ) ), product( T, Z, Z ), ~( product( T,
% 1.79/2.19 X, X ) ) ] )
% 1.79/2.19 , 2, clause( 40, [ product( X, inverse( identity ), X ) ] )
% 1.79/2.19 , 0, substitution( 0, [ :=( X, inverse( identity ) ), :=( Y, X ), :=( Z, Y
% 1.79/2.19 ), :=( T, inverse( identity ) )] ), substitution( 1, [ :=( X, inverse(
% 1.79/2.19 identity ) )] )).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 subsumption(
% 1.79/2.19 clause( 46, [ product( inverse( identity ), Y, Y ), ~( product( inverse(
% 1.79/2.19 identity ), X, Y ) ) ] )
% 1.79/2.19 , clause( 20260, [ ~( product( inverse( identity ), X, Y ) ), product(
% 1.79/2.19 inverse( identity ), Y, Y ) ] )
% 1.79/2.19 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 1.79/2.19 ), ==>( 1, 0 )] ) ).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 resolution(
% 1.79/2.19 clause( 20262, [ ~( product( identity, X, Y ) ), product( identity, Y, Y )
% 1.79/2.19 ] )
% 1.79/2.19 , clause( 9, [ ~( product( X, Y, Z ) ), product( T, Z, Z ), ~( product( T,
% 1.79/2.19 X, X ) ) ] )
% 1.79/2.19 , 2, clause( 5, [ product( X, identity, X ) ] )
% 1.79/2.19 , 0, substitution( 0, [ :=( X, identity ), :=( Y, X ), :=( Z, Y ), :=( T,
% 1.79/2.19 identity )] ), substitution( 1, [ :=( X, identity )] )).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 subsumption(
% 1.79/2.19 clause( 48, [ product( identity, Y, Y ), ~( product( identity, X, Y ) ) ]
% 1.79/2.19 )
% 1.79/2.19 , clause( 20262, [ ~( product( identity, X, Y ) ), product( identity, Y, Y
% 1.79/2.19 ) ] )
% 1.79/2.19 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 1.79/2.19 ), ==>( 1, 0 )] ) ).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 resolution(
% 1.79/2.19 clause( 20263, [ product( identity, multiply( identity, X ), multiply(
% 1.79/2.19 identity, X ) ) ] )
% 1.79/2.19 , clause( 48, [ product( identity, Y, Y ), ~( product( identity, X, Y ) ) ]
% 1.79/2.19 )
% 1.79/2.19 , 1, clause( 0, [ product( X, Y, multiply( X, Y ) ) ] )
% 1.79/2.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, multiply( identity, X ) )] ),
% 1.79/2.19 substitution( 1, [ :=( X, identity ), :=( Y, X )] )).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 subsumption(
% 1.79/2.19 clause( 49, [ product( identity, multiply( identity, X ), multiply(
% 1.79/2.19 identity, X ) ) ] )
% 1.79/2.19 , clause( 20263, [ product( identity, multiply( identity, X ), multiply(
% 1.79/2.19 identity, X ) ) ] )
% 1.79/2.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 resolution(
% 1.79/2.19 clause( 20265, [ ~( product( multiply( identity, X ), Y, Z ) ), product(
% 1.79/2.19 identity, Z, Z ) ] )
% 1.79/2.19 , clause( 9, [ ~( product( X, Y, Z ) ), product( T, Z, Z ), ~( product( T,
% 1.79/2.19 X, X ) ) ] )
% 1.79/2.19 , 2, clause( 49, [ product( identity, multiply( identity, X ), multiply(
% 1.79/2.19 identity, X ) ) ] )
% 1.79/2.19 , 0, substitution( 0, [ :=( X, multiply( identity, X ) ), :=( Y, Y ), :=( Z
% 1.79/2.19 , Z ), :=( T, identity )] ), substitution( 1, [ :=( X, X )] )).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 subsumption(
% 1.79/2.19 clause( 50, [ product( identity, Z, Z ), ~( product( multiply( identity, X
% 1.79/2.19 ), Y, Z ) ) ] )
% 1.79/2.19 , clause( 20265, [ ~( product( multiply( identity, X ), Y, Z ) ), product(
% 1.79/2.19 identity, Z, Z ) ] )
% 1.79/2.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.79/2.19 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 resolution(
% 1.79/2.19 clause( 20267, [ ~( product( identity, identity, X ) ), product( Y, X, Y )
% 1.79/2.19 ] )
% 1.79/2.19 , clause( 10, [ ~( product( X, X, Y ) ), product( Z, Y, Z ), ~( product( Z
% 1.79/2.19 , X, Z ) ) ] )
% 1.79/2.19 , 2, clause( 5, [ product( X, identity, X ) ] )
% 1.79/2.19 , 0, substitution( 0, [ :=( X, identity ), :=( Y, X ), :=( Z, Y )] ),
% 1.79/2.19 substitution( 1, [ :=( X, Y )] )).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 subsumption(
% 1.79/2.19 clause( 57, [ product( Y, X, Y ), ~( product( identity, identity, X ) ) ]
% 1.79/2.19 )
% 1.79/2.19 , clause( 20267, [ ~( product( identity, identity, X ) ), product( Y, X, Y
% 1.79/2.19 ) ] )
% 1.79/2.19 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 1.79/2.19 ), ==>( 1, 0 )] ) ).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 resolution(
% 1.79/2.19 clause( 20268, [ product( X, multiply( identity, identity ), X ) ] )
% 1.79/2.19 , clause( 57, [ product( Y, X, Y ), ~( product( identity, identity, X ) ) ]
% 1.79/2.19 )
% 1.79/2.19 , 1, clause( 0, [ product( X, Y, multiply( X, Y ) ) ] )
% 1.79/2.19 , 0, substitution( 0, [ :=( X, multiply( identity, identity ) ), :=( Y, X )] )
% 1.79/2.19 , substitution( 1, [ :=( X, identity ), :=( Y, identity )] )).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 subsumption(
% 1.79/2.19 clause( 58, [ product( X, multiply( identity, identity ), X ) ] )
% 1.79/2.19 , clause( 20268, [ product( X, multiply( identity, identity ), X ) ] )
% 1.79/2.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 resolution(
% 1.79/2.19 clause( 20270, [ ~( product( inverse( X ), Y, Z ) ), product( X, Z,
% 1.79/2.19 multiply( identity, Y ) ) ] )
% 1.79/2.19 , clause( 21, [ ~( product( X, Y, Z ) ), product( T, Z, multiply( U, Y ) )
% 1.79/2.19 , ~( product( T, X, U ) ) ] )
% 1.79/2.19 , 2, clause( 4, [ product( X, inverse( X ), identity ) ] )
% 1.79/2.19 , 0, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, Y ), :=( Z, Z ), :=(
% 1.79/2.19 T, X ), :=( U, identity )] ), substitution( 1, [ :=( X, X )] )).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 subsumption(
% 1.79/2.19 clause( 98, [ product( X, Z, multiply( identity, Y ) ), ~( product( inverse(
% 1.79/2.19 X ), Y, Z ) ) ] )
% 1.79/2.19 , clause( 20270, [ ~( product( inverse( X ), Y, Z ) ), product( X, Z,
% 1.79/2.19 multiply( identity, Y ) ) ] )
% 1.79/2.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.79/2.19 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 resolution(
% 1.79/2.19 clause( 20272, [ ~( product( identity, X, Y ) ), product( Z, Y, multiply( Z
% 1.79/2.19 , X ) ) ] )
% 1.79/2.19 , clause( 21, [ ~( product( X, Y, Z ) ), product( T, Z, multiply( U, Y ) )
% 1.79/2.19 , ~( product( T, X, U ) ) ] )
% 1.79/2.19 , 2, clause( 5, [ product( X, identity, X ) ] )
% 1.79/2.19 , 0, substitution( 0, [ :=( X, identity ), :=( Y, X ), :=( Z, Y ), :=( T, Z
% 1.79/2.19 ), :=( U, Z )] ), substitution( 1, [ :=( X, Z )] )).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 subsumption(
% 1.79/2.19 clause( 99, [ product( Z, Y, multiply( Z, X ) ), ~( product( identity, X, Y
% 1.79/2.19 ) ) ] )
% 1.79/2.19 , clause( 20272, [ ~( product( identity, X, Y ) ), product( Z, Y, multiply(
% 1.79/2.19 Z, X ) ) ] )
% 1.79/2.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.79/2.19 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 resolution(
% 1.79/2.19 clause( 20273, [ product( X, identity, multiply( X, multiply( identity,
% 1.79/2.19 identity ) ) ) ] )
% 1.79/2.19 , clause( 99, [ product( Z, Y, multiply( Z, X ) ), ~( product( identity, X
% 1.79/2.19 , Y ) ) ] )
% 1.79/2.19 , 1, clause( 58, [ product( X, multiply( identity, identity ), X ) ] )
% 1.79/2.19 , 0, substitution( 0, [ :=( X, multiply( identity, identity ) ), :=( Y,
% 1.79/2.19 identity ), :=( Z, X )] ), substitution( 1, [ :=( X, identity )] )).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 subsumption(
% 1.79/2.19 clause( 100, [ product( X, identity, multiply( X, multiply( identity,
% 1.79/2.19 identity ) ) ) ] )
% 1.79/2.19 , clause( 20273, [ product( X, identity, multiply( X, multiply( identity,
% 1.79/2.19 identity ) ) ) ] )
% 1.79/2.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 resolution(
% 1.79/2.19 clause( 20274, [ product( X, multiply( identity, Y ), multiply( X, Y ) ) ]
% 1.79/2.19 )
% 1.79/2.19 , clause( 99, [ product( Z, Y, multiply( Z, X ) ), ~( product( identity, X
% 1.79/2.19 , Y ) ) ] )
% 1.79/2.19 , 1, clause( 0, [ product( X, Y, multiply( X, Y ) ) ] )
% 1.79/2.19 , 0, substitution( 0, [ :=( X, Y ), :=( Y, multiply( identity, Y ) ), :=( Z
% 1.79/2.19 , X )] ), substitution( 1, [ :=( X, identity ), :=( Y, Y )] )).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 subsumption(
% 1.79/2.19 clause( 102, [ product( X, multiply( identity, Y ), multiply( X, Y ) ) ] )
% 1.79/2.19 , clause( 20274, [ product( X, multiply( identity, Y ), multiply( X, Y ) )
% 1.79/2.19 ] )
% 1.79/2.19 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.79/2.19 )] ) ).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 resolution(
% 1.79/2.19 clause( 20275, [ ~( product( identity, inverse( X ), Y ) ), product( X, Y,
% 1.79/2.19 identity ) ] )
% 1.79/2.19 , clause( 22, [ ~( product( X, inverse( Y ), Z ) ), product( T, Z, identity
% 1.79/2.19 ), ~( product( T, X, Y ) ) ] )
% 1.79/2.19 , 2, clause( 5, [ product( X, identity, X ) ] )
% 1.79/2.19 , 0, substitution( 0, [ :=( X, identity ), :=( Y, X ), :=( Z, Y ), :=( T, X
% 1.79/2.19 )] ), substitution( 1, [ :=( X, X )] )).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 subsumption(
% 1.79/2.19 clause( 134, [ product( X, Y, identity ), ~( product( identity, inverse( X
% 1.79/2.19 ), Y ) ) ] )
% 1.79/2.19 , clause( 20275, [ ~( product( identity, inverse( X ), Y ) ), product( X, Y
% 1.79/2.19 , identity ) ] )
% 1.79/2.19 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 1.79/2.19 ), ==>( 1, 0 )] ) ).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 resolution(
% 1.79/2.19 clause( 20276, [ ~( product( multiply( identity, X ), identity, Y ) ),
% 1.79/2.19 product( Z, Y, multiply( Z, X ) ) ] )
% 1.79/2.19 , clause( 23, [ ~( product( X, identity, Y ) ), product( Z, Y, T ), ~(
% 1.79/2.19 product( Z, X, T ) ) ] )
% 1.79/2.19 , 2, clause( 102, [ product( X, multiply( identity, Y ), multiply( X, Y ) )
% 1.79/2.19 ] )
% 1.79/2.19 , 0, substitution( 0, [ :=( X, multiply( identity, X ) ), :=( Y, Y ), :=( Z
% 1.79/2.19 , Z ), :=( T, multiply( Z, X ) )] ), substitution( 1, [ :=( X, Z ), :=( Y
% 1.79/2.19 , X )] )).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 subsumption(
% 1.79/2.19 clause( 166, [ product( Z, Y, multiply( Z, X ) ), ~( product( multiply(
% 1.79/2.19 identity, X ), identity, Y ) ) ] )
% 1.79/2.19 , clause( 20276, [ ~( product( multiply( identity, X ), identity, Y ) ),
% 1.79/2.19 product( Z, Y, multiply( Z, X ) ) ] )
% 1.79/2.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.79/2.19 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 resolution(
% 1.79/2.19 clause( 20277, [ ~( product( inverse( X ), identity, Y ) ), product( X, Y,
% 1.79/2.19 identity ) ] )
% 1.79/2.19 , clause( 23, [ ~( product( X, identity, Y ) ), product( Z, Y, T ), ~(
% 1.79/2.19 product( Z, X, T ) ) ] )
% 1.79/2.19 , 2, clause( 4, [ product( X, inverse( X ), identity ) ] )
% 1.79/2.19 , 0, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, Y ), :=( Z, X ), :=(
% 1.79/2.19 T, identity )] ), substitution( 1, [ :=( X, X )] )).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 subsumption(
% 1.79/2.19 clause( 175, [ product( X, Y, identity ), ~( product( inverse( X ),
% 1.79/2.19 identity, Y ) ) ] )
% 1.79/2.19 , clause( 20277, [ ~( product( inverse( X ), identity, Y ) ), product( X, Y
% 1.79/2.19 , identity ) ] )
% 1.79/2.19 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 1.79/2.19 ), ==>( 1, 0 )] ) ).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 resolution(
% 1.79/2.19 clause( 20278, [ ~( product( X, multiply( inverse( identity ), Y ), Z ) ),
% 1.79/2.19 product( X, Y, Z ) ] )
% 1.79/2.19 , clause( 32, [ ~( product( X, multiply( Y, T ), U ) ), product( Z, T, U )
% 1.79/2.19 , ~( product( X, Y, Z ) ) ] )
% 1.79/2.19 , 2, clause( 40, [ product( X, inverse( identity ), X ) ] )
% 1.79/2.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, inverse( identity ) ), :=( Z, X
% 1.79/2.19 ), :=( T, Y ), :=( U, Z )] ), substitution( 1, [ :=( X, X )] )).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 subsumption(
% 1.79/2.19 clause( 337, [ product( X, Y, Z ), ~( product( X, multiply( inverse(
% 1.79/2.19 identity ), Y ), Z ) ) ] )
% 1.79/2.19 , clause( 20278, [ ~( product( X, multiply( inverse( identity ), Y ), Z ) )
% 1.79/2.19 , product( X, Y, Z ) ] )
% 1.79/2.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.79/2.19 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 resolution(
% 1.79/2.19 clause( 20279, [ product( X, multiply( inverse( X ), multiply( identity,
% 1.79/2.19 identity ) ), identity ) ] )
% 1.79/2.19 , clause( 175, [ product( X, Y, identity ), ~( product( inverse( X ),
% 1.79/2.19 identity, Y ) ) ] )
% 1.79/2.19 , 1, clause( 100, [ product( X, identity, multiply( X, multiply( identity,
% 1.79/2.19 identity ) ) ) ] )
% 1.79/2.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, multiply( inverse( X ), multiply(
% 1.79/2.19 identity, identity ) ) )] ), substitution( 1, [ :=( X, inverse( X ) )] )
% 1.79/2.19 ).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 subsumption(
% 1.79/2.19 clause( 353, [ product( X, multiply( inverse( X ), multiply( identity,
% 1.79/2.19 identity ) ), identity ) ] )
% 1.79/2.19 , clause( 20279, [ product( X, multiply( inverse( X ), multiply( identity,
% 1.79/2.19 identity ) ), identity ) ] )
% 1.79/2.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 resolution(
% 1.79/2.19 clause( 20281, [ ~( product( X, identity, Y ) ), product( Y, identity, X )
% 1.79/2.19 ] )
% 1.79/2.19 , clause( 34, [ ~( product( X, Y, Z ) ), product( Z, identity, T ), ~(
% 1.79/2.19 product( X, Y, T ) ) ] )
% 1.79/2.19 , 2, clause( 5, [ product( X, identity, X ) ] )
% 1.79/2.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, identity ), :=( Z, Y ), :=( T, X
% 1.79/2.19 )] ), substitution( 1, [ :=( X, X )] )).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 subsumption(
% 1.79/2.19 clause( 449, [ product( Y, identity, X ), ~( product( X, identity, Y ) ) ]
% 1.79/2.19 )
% 1.79/2.19 , clause( 20281, [ ~( product( X, identity, Y ) ), product( Y, identity, X
% 1.79/2.19 ) ] )
% 1.79/2.19 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 1.79/2.19 ), ==>( 1, 0 )] ) ).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 resolution(
% 1.79/2.19 clause( 20282, [ product( inverse( identity ), identity, identity ) ] )
% 1.79/2.19 , clause( 46, [ product( inverse( identity ), Y, Y ), ~( product( inverse(
% 1.79/2.19 identity ), X, Y ) ) ] )
% 1.79/2.19 , 1, clause( 353, [ product( X, multiply( inverse( X ), multiply( identity
% 1.79/2.19 , identity ) ), identity ) ] )
% 1.79/2.19 , 0, substitution( 0, [ :=( X, multiply( inverse( inverse( identity ) ),
% 1.79/2.19 multiply( identity, identity ) ) ), :=( Y, identity )] ), substitution( 1
% 1.79/2.19 , [ :=( X, inverse( identity ) )] )).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 subsumption(
% 1.79/2.19 clause( 650, [ product( inverse( identity ), identity, identity ) ] )
% 1.79/2.19 , clause( 20282, [ product( inverse( identity ), identity, identity ) ] )
% 1.79/2.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 resolution(
% 1.79/2.19 clause( 20284, [ ~( product( identity, X, Y ) ), product( inverse( identity
% 1.79/2.19 ), Y, Y ) ] )
% 1.79/2.19 , clause( 9, [ ~( product( X, Y, Z ) ), product( T, Z, Z ), ~( product( T,
% 1.79/2.19 X, X ) ) ] )
% 1.79/2.19 , 2, clause( 650, [ product( inverse( identity ), identity, identity ) ] )
% 1.79/2.19 , 0, substitution( 0, [ :=( X, identity ), :=( Y, X ), :=( Z, Y ), :=( T,
% 1.79/2.19 inverse( identity ) )] ), substitution( 1, [] )).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 subsumption(
% 1.79/2.19 clause( 665, [ product( inverse( identity ), Y, Y ), ~( product( identity,
% 1.79/2.19 X, Y ) ) ] )
% 1.79/2.19 , clause( 20284, [ ~( product( identity, X, Y ) ), product( inverse(
% 1.79/2.19 identity ), Y, Y ) ] )
% 1.79/2.19 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 1.79/2.19 ), ==>( 1, 0 )] ) ).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 resolution(
% 1.79/2.19 clause( 20285, [ product( X, identity, multiply( identity, inverse( inverse(
% 1.79/2.19 X ) ) ) ) ] )
% 1.79/2.19 , clause( 98, [ product( X, Z, multiply( identity, Y ) ), ~( product(
% 1.79/2.19 inverse( X ), Y, Z ) ) ] )
% 1.79/2.19 , 1, clause( 4, [ product( X, inverse( X ), identity ) ] )
% 1.79/2.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, inverse( inverse( X ) ) ), :=( Z
% 1.79/2.19 , identity )] ), substitution( 1, [ :=( X, inverse( X ) )] )).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 subsumption(
% 1.79/2.19 clause( 2130, [ product( X, identity, multiply( identity, inverse( inverse(
% 1.79/2.19 X ) ) ) ) ] )
% 1.79/2.19 , clause( 20285, [ product( X, identity, multiply( identity, inverse(
% 1.79/2.19 inverse( X ) ) ) ) ] )
% 1.79/2.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 resolution(
% 1.79/2.19 clause( 20286, [ product( multiply( identity, inverse( inverse( X ) ) ),
% 1.79/2.19 identity, X ) ] )
% 1.79/2.19 , clause( 449, [ product( Y, identity, X ), ~( product( X, identity, Y ) )
% 1.79/2.19 ] )
% 1.79/2.19 , 1, clause( 2130, [ product( X, identity, multiply( identity, inverse(
% 1.79/2.19 inverse( X ) ) ) ) ] )
% 1.79/2.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, multiply( identity, inverse(
% 1.79/2.19 inverse( X ) ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 subsumption(
% 1.79/2.19 clause( 2190, [ product( multiply( identity, inverse( inverse( X ) ) ),
% 1.79/2.19 identity, X ) ] )
% 1.79/2.19 , clause( 20286, [ product( multiply( identity, inverse( inverse( X ) ) ),
% 1.79/2.19 identity, X ) ] )
% 1.79/2.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 resolution(
% 1.79/2.19 clause( 20287, [ product( identity, X, X ) ] )
% 1.79/2.19 , clause( 50, [ product( identity, Z, Z ), ~( product( multiply( identity,
% 1.79/2.19 X ), Y, Z ) ) ] )
% 1.79/2.19 , 1, clause( 2190, [ product( multiply( identity, inverse( inverse( X ) ) )
% 1.79/2.19 , identity, X ) ] )
% 1.79/2.19 , 0, substitution( 0, [ :=( X, inverse( inverse( X ) ) ), :=( Y, identity )
% 1.79/2.19 , :=( Z, X )] ), substitution( 1, [ :=( X, X )] )).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 subsumption(
% 1.79/2.19 clause( 2240, [ product( identity, X, X ) ] )
% 1.79/2.19 , clause( 20287, [ product( identity, X, X ) ] )
% 1.79/2.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 resolution(
% 1.79/2.19 clause( 20288, [ product( inverse( identity ), X, X ) ] )
% 1.79/2.19 , clause( 665, [ product( inverse( identity ), Y, Y ), ~( product( identity
% 1.79/2.19 , X, Y ) ) ] )
% 1.79/2.19 , 1, clause( 2240, [ product( identity, X, X ) ] )
% 1.79/2.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [ :=( X
% 1.79/2.19 , X )] )).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 subsumption(
% 1.79/2.19 clause( 2253, [ product( inverse( identity ), X, X ) ] )
% 1.79/2.19 , clause( 20288, [ product( inverse( identity ), X, X ) ] )
% 1.79/2.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 resolution(
% 1.79/2.19 clause( 20290, [ ~( product( X, identity, Y ) ), product( identity, Y, X )
% 1.79/2.19 ] )
% 1.79/2.19 , clause( 23, [ ~( product( X, identity, Y ) ), product( Z, Y, T ), ~(
% 1.79/2.19 product( Z, X, T ) ) ] )
% 1.79/2.19 , 2, clause( 2240, [ product( identity, X, X ) ] )
% 1.79/2.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, identity ), :=( T, X
% 1.79/2.19 )] ), substitution( 1, [ :=( X, X )] )).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 subsumption(
% 1.79/2.19 clause( 2261, [ product( identity, Y, X ), ~( product( X, identity, Y ) ) ]
% 1.79/2.19 )
% 1.79/2.19 , clause( 20290, [ ~( product( X, identity, Y ) ), product( identity, Y, X
% 1.79/2.19 ) ] )
% 1.79/2.19 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 1.79/2.19 ), ==>( 1, 0 )] ) ).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 resolution(
% 1.79/2.19 clause( 20292, [ ~( product( inverse( identity ), X, Y ) ), product( Y,
% 1.79/2.19 identity, X ) ] )
% 1.79/2.19 , clause( 34, [ ~( product( X, Y, Z ) ), product( Z, identity, T ), ~(
% 1.79/2.19 product( X, Y, T ) ) ] )
% 1.79/2.19 , 2, clause( 2253, [ product( inverse( identity ), X, X ) ] )
% 1.79/2.19 , 0, substitution( 0, [ :=( X, inverse( identity ) ), :=( Y, X ), :=( Z, Y
% 1.79/2.19 ), :=( T, X )] ), substitution( 1, [ :=( X, X )] )).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 subsumption(
% 1.79/2.19 clause( 2277, [ product( Y, identity, X ), ~( product( inverse( identity )
% 1.79/2.19 , X, Y ) ) ] )
% 1.79/2.19 , clause( 20292, [ ~( product( inverse( identity ), X, Y ) ), product( Y,
% 1.79/2.19 identity, X ) ] )
% 1.79/2.19 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 1.79/2.19 ), ==>( 1, 0 )] ) ).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 resolution(
% 1.79/2.19 clause( 20293, [ product( X, Y, multiply( X, inverse( inverse( Y ) ) ) ) ]
% 1.79/2.19 )
% 1.79/2.19 , clause( 166, [ product( Z, Y, multiply( Z, X ) ), ~( product( multiply(
% 1.79/2.19 identity, X ), identity, Y ) ) ] )
% 1.79/2.19 , 1, clause( 2190, [ product( multiply( identity, inverse( inverse( X ) ) )
% 1.79/2.19 , identity, X ) ] )
% 1.79/2.19 , 0, substitution( 0, [ :=( X, inverse( inverse( Y ) ) ), :=( Y, Y ), :=( Z
% 1.79/2.19 , X )] ), substitution( 1, [ :=( X, Y )] )).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 subsumption(
% 1.79/2.19 clause( 5461, [ product( X, Y, multiply( X, inverse( inverse( Y ) ) ) ) ]
% 1.79/2.19 )
% 1.79/2.19 , clause( 20293, [ product( X, Y, multiply( X, inverse( inverse( Y ) ) ) )
% 1.79/2.19 ] )
% 1.79/2.19 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.79/2.19 )] ) ).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 resolution(
% 1.79/2.19 clause( 20294, [ product( multiply( inverse( identity ), inverse( inverse(
% 1.79/2.19 X ) ) ), identity, X ) ] )
% 1.79/2.19 , clause( 2277, [ product( Y, identity, X ), ~( product( inverse( identity
% 1.79/2.19 ), X, Y ) ) ] )
% 1.79/2.19 , 1, clause( 5461, [ product( X, Y, multiply( X, inverse( inverse( Y ) ) )
% 1.79/2.19 ) ] )
% 1.79/2.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, multiply( inverse( identity ),
% 1.79/2.19 inverse( inverse( X ) ) ) )] ), substitution( 1, [ :=( X, inverse(
% 1.79/2.19 identity ) ), :=( Y, X )] )).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 subsumption(
% 1.79/2.19 clause( 16152, [ product( multiply( inverse( identity ), inverse( inverse(
% 1.79/2.19 X ) ) ), identity, X ) ] )
% 1.79/2.19 , clause( 20294, [ product( multiply( inverse( identity ), inverse( inverse(
% 1.79/2.19 X ) ) ), identity, X ) ] )
% 1.79/2.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 resolution(
% 1.79/2.19 clause( 20295, [ product( X, identity, multiply( inverse( identity ),
% 1.79/2.19 inverse( inverse( X ) ) ) ) ] )
% 1.79/2.19 , clause( 449, [ product( Y, identity, X ), ~( product( X, identity, Y ) )
% 1.79/2.19 ] )
% 1.79/2.19 , 1, clause( 16152, [ product( multiply( inverse( identity ), inverse(
% 1.79/2.19 inverse( X ) ) ), identity, X ) ] )
% 1.79/2.19 , 0, substitution( 0, [ :=( X, multiply( inverse( identity ), inverse(
% 1.79/2.19 inverse( X ) ) ) ), :=( Y, X )] ), substitution( 1, [ :=( X, X )] )).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 subsumption(
% 1.79/2.19 clause( 17178, [ product( X, identity, multiply( inverse( identity ),
% 1.79/2.19 inverse( inverse( X ) ) ) ) ] )
% 1.79/2.19 , clause( 20295, [ product( X, identity, multiply( inverse( identity ),
% 1.79/2.19 inverse( inverse( X ) ) ) ) ] )
% 1.79/2.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 resolution(
% 1.79/2.19 clause( 20296, [ product( identity, multiply( inverse( identity ), inverse(
% 1.79/2.19 inverse( X ) ) ), X ) ] )
% 1.79/2.19 , clause( 2261, [ product( identity, Y, X ), ~( product( X, identity, Y ) )
% 1.79/2.19 ] )
% 1.79/2.19 , 1, clause( 17178, [ product( X, identity, multiply( inverse( identity ),
% 1.79/2.19 inverse( inverse( X ) ) ) ) ] )
% 1.79/2.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, multiply( inverse( identity ),
% 1.79/2.19 inverse( inverse( X ) ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 subsumption(
% 1.79/2.19 clause( 17260, [ product( identity, multiply( inverse( identity ), inverse(
% 1.79/2.19 inverse( X ) ) ), X ) ] )
% 1.79/2.19 , clause( 20296, [ product( identity, multiply( inverse( identity ),
% 1.79/2.19 inverse( inverse( X ) ) ), X ) ] )
% 1.79/2.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 resolution(
% 1.79/2.19 clause( 20297, [ product( identity, inverse( inverse( X ) ), X ) ] )
% 1.79/2.19 , clause( 337, [ product( X, Y, Z ), ~( product( X, multiply( inverse(
% 1.79/2.19 identity ), Y ), Z ) ) ] )
% 1.79/2.19 , 1, clause( 17260, [ product( identity, multiply( inverse( identity ),
% 1.79/2.19 inverse( inverse( X ) ) ), X ) ] )
% 1.79/2.19 , 0, substitution( 0, [ :=( X, identity ), :=( Y, inverse( inverse( X ) ) )
% 1.79/2.19 , :=( Z, X )] ), substitution( 1, [ :=( X, X )] )).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 subsumption(
% 1.79/2.19 clause( 20040, [ product( identity, inverse( inverse( X ) ), X ) ] )
% 1.79/2.19 , clause( 20297, [ product( identity, inverse( inverse( X ) ), X ) ] )
% 1.79/2.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 resolution(
% 1.79/2.19 clause( 20298, [ product( inverse( X ), X, identity ) ] )
% 1.79/2.19 , clause( 134, [ product( X, Y, identity ), ~( product( identity, inverse(
% 1.79/2.19 X ), Y ) ) ] )
% 1.79/2.19 , 1, clause( 20040, [ product( identity, inverse( inverse( X ) ), X ) ] )
% 1.79/2.19 , 0, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, X )] ),
% 1.79/2.19 substitution( 1, [ :=( X, X )] )).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 subsumption(
% 1.79/2.19 clause( 20110, [ product( inverse( X ), X, identity ) ] )
% 1.79/2.19 , clause( 20298, [ product( inverse( X ), X, identity ) ] )
% 1.79/2.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 resolution(
% 1.79/2.19 clause( 20299, [] )
% 1.79/2.19 , clause( 6, [ ~( product( X, a, identity ) ) ] )
% 1.79/2.19 , 0, clause( 20110, [ product( inverse( X ), X, identity ) ] )
% 1.79/2.19 , 0, substitution( 0, [ :=( X, inverse( a ) )] ), substitution( 1, [ :=( X
% 1.79/2.19 , a )] )).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 subsumption(
% 1.79/2.19 clause( 20169, [] )
% 1.79/2.19 , clause( 20299, [] )
% 1.79/2.19 , substitution( 0, [] ), permutation( 0, [] ) ).
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 end.
% 1.79/2.19
% 1.79/2.19 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.79/2.19
% 1.79/2.19 Memory use:
% 1.79/2.19
% 1.79/2.19 space for terms: 310896
% 1.79/2.19 space for clauses: 1136985
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 clauses generated: 30031
% 1.79/2.19 clauses kept: 20170
% 1.79/2.19 clauses selected: 1101
% 1.79/2.19 clauses deleted: 2868
% 1.79/2.19 clauses inuse deleted: 184
% 1.79/2.19
% 1.79/2.19 subsentry: 322779
% 1.79/2.19 literals s-matched: 116150
% 1.79/2.19 literals matched: 96845
% 1.79/2.19 full subsumption: 8067
% 1.79/2.19
% 1.79/2.19 checksum: -695769958
% 1.79/2.19
% 1.79/2.19
% 1.79/2.19 Bliksem ended
%------------------------------------------------------------------------------