TSTP Solution File: GRP421-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP421-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n007.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 07:36:55 EDT 2022
% Result : Unsatisfiable 0.85s 1.21s
% Output : Refutation 0.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP421-1 : TPTP v8.1.0. Released v2.6.0.
% 0.13/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n007.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Tue Jun 14 09:23:39 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.85/1.21 *** allocated 10000 integers for termspace/termends
% 0.85/1.21 *** allocated 10000 integers for clauses
% 0.85/1.21 *** allocated 10000 integers for justifications
% 0.85/1.21 Bliksem 1.12
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 Automatic Strategy Selection
% 0.85/1.21
% 0.85/1.21 Clauses:
% 0.85/1.21 [
% 0.85/1.21 [ =( inverse( multiply( inverse( multiply( X, inverse( multiply( inverse(
% 0.85/1.21 Y ), multiply( inverse( Z ), inverse( multiply( inverse( Z ), Z ) ) ) ) )
% 0.85/1.21 ) ), multiply( X, Z ) ) ), Y ) ],
% 0.85/1.21 [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1 ) ) )
% 0.85/1.21 ]
% 0.85/1.21 ] .
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 percentage equality = 1.000000, percentage horn = 1.000000
% 0.85/1.21 This is a pure equality problem
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 Options Used:
% 0.85/1.21
% 0.85/1.21 useres = 1
% 0.85/1.21 useparamod = 1
% 0.85/1.21 useeqrefl = 1
% 0.85/1.21 useeqfact = 1
% 0.85/1.21 usefactor = 1
% 0.85/1.21 usesimpsplitting = 0
% 0.85/1.21 usesimpdemod = 5
% 0.85/1.21 usesimpres = 3
% 0.85/1.21
% 0.85/1.21 resimpinuse = 1000
% 0.85/1.21 resimpclauses = 20000
% 0.85/1.21 substype = eqrewr
% 0.85/1.21 backwardsubs = 1
% 0.85/1.21 selectoldest = 5
% 0.85/1.21
% 0.85/1.21 litorderings [0] = split
% 0.85/1.21 litorderings [1] = extend the termordering, first sorting on arguments
% 0.85/1.21
% 0.85/1.21 termordering = kbo
% 0.85/1.21
% 0.85/1.21 litapriori = 0
% 0.85/1.21 termapriori = 1
% 0.85/1.21 litaposteriori = 0
% 0.85/1.21 termaposteriori = 0
% 0.85/1.21 demodaposteriori = 0
% 0.85/1.21 ordereqreflfact = 0
% 0.85/1.21
% 0.85/1.21 litselect = negord
% 0.85/1.21
% 0.85/1.21 maxweight = 15
% 0.85/1.21 maxdepth = 30000
% 0.85/1.21 maxlength = 115
% 0.85/1.21 maxnrvars = 195
% 0.85/1.21 excuselevel = 1
% 0.85/1.21 increasemaxweight = 1
% 0.85/1.21
% 0.85/1.21 maxselected = 10000000
% 0.85/1.21 maxnrclauses = 10000000
% 0.85/1.21
% 0.85/1.21 showgenerated = 0
% 0.85/1.21 showkept = 0
% 0.85/1.21 showselected = 0
% 0.85/1.21 showdeleted = 0
% 0.85/1.21 showresimp = 1
% 0.85/1.21 showstatus = 2000
% 0.85/1.21
% 0.85/1.21 prologoutput = 1
% 0.85/1.21 nrgoals = 5000000
% 0.85/1.21 totalproof = 1
% 0.85/1.21
% 0.85/1.21 Symbols occurring in the translation:
% 0.85/1.21
% 0.85/1.21 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.85/1.21 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.85/1.21 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.85/1.21 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.85/1.21 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.85/1.21 inverse [41, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.85/1.21 multiply [43, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.85/1.21 a1 [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.85/1.21 b1 [45, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 Starting Search:
% 0.85/1.21
% 0.85/1.21 Resimplifying inuse:
% 0.85/1.21 Done
% 0.85/1.21
% 0.85/1.21 Failed to find proof!
% 0.85/1.21 maxweight = 15
% 0.85/1.21 maxnrclauses = 10000000
% 0.85/1.21 Generated: 202
% 0.85/1.21 Kept: 5
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 The strategy used was not complete!
% 0.85/1.21
% 0.85/1.21 Increased maxweight to 16
% 0.85/1.21
% 0.85/1.21 Starting Search:
% 0.85/1.21
% 0.85/1.21 Resimplifying inuse:
% 0.85/1.21 Done
% 0.85/1.21
% 0.85/1.21 Failed to find proof!
% 0.85/1.21 maxweight = 16
% 0.85/1.21 maxnrclauses = 10000000
% 0.85/1.21 Generated: 202
% 0.85/1.21 Kept: 5
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 The strategy used was not complete!
% 0.85/1.21
% 0.85/1.21 Increased maxweight to 17
% 0.85/1.21
% 0.85/1.21 Starting Search:
% 0.85/1.21
% 0.85/1.21 Resimplifying inuse:
% 0.85/1.21 Done
% 0.85/1.21
% 0.85/1.21 Failed to find proof!
% 0.85/1.21 maxweight = 17
% 0.85/1.21 maxnrclauses = 10000000
% 0.85/1.21 Generated: 202
% 0.85/1.21 Kept: 5
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 The strategy used was not complete!
% 0.85/1.21
% 0.85/1.21 Increased maxweight to 18
% 0.85/1.21
% 0.85/1.21 Starting Search:
% 0.85/1.21
% 0.85/1.21 Resimplifying inuse:
% 0.85/1.21 Done
% 0.85/1.21
% 0.85/1.21 Failed to find proof!
% 0.85/1.21 maxweight = 18
% 0.85/1.21 maxnrclauses = 10000000
% 0.85/1.21 Generated: 202
% 0.85/1.21 Kept: 5
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 The strategy used was not complete!
% 0.85/1.21
% 0.85/1.21 Increased maxweight to 19
% 0.85/1.21
% 0.85/1.21 Starting Search:
% 0.85/1.21
% 0.85/1.21 Resimplifying inuse:
% 0.85/1.21 Done
% 0.85/1.21
% 0.85/1.21 Failed to find proof!
% 0.85/1.21 maxweight = 19
% 0.85/1.21 maxnrclauses = 10000000
% 0.85/1.21 Generated: 442
% 0.85/1.21 Kept: 7
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 The strategy used was not complete!
% 0.85/1.21
% 0.85/1.21 Increased maxweight to 20
% 0.85/1.21
% 0.85/1.21 Starting Search:
% 0.85/1.21
% 0.85/1.21 Resimplifying inuse:
% 0.85/1.21 Done
% 0.85/1.21
% 0.85/1.21 Failed to find proof!
% 0.85/1.21 maxweight = 20
% 0.85/1.21 maxnrclauses = 10000000
% 0.85/1.21 Generated: 442
% 0.85/1.21 Kept: 7
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 The strategy used was not complete!
% 0.85/1.21
% 0.85/1.21 Increased maxweight to 21
% 0.85/1.21
% 0.85/1.21 Starting Search:
% 0.85/1.21
% 0.85/1.21 Resimplifying inuse:
% 0.85/1.21 Done
% 0.85/1.21
% 0.85/1.21 Failed to find proof!
% 0.85/1.21 maxweight = 21
% 0.85/1.21 maxnrclauses = 10000000
% 0.85/1.21 Generated: 442
% 0.85/1.21 Kept: 7
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 The strategy used was not complete!
% 0.85/1.21
% 0.85/1.21 Increased maxweight to 22
% 0.85/1.21
% 0.85/1.21 Starting Search:
% 0.85/1.21
% 0.85/1.21 Resimplifying inuse:
% 0.85/1.21 Done
% 0.85/1.21
% 0.85/1.21 Failed to find proof!
% 0.85/1.21 maxweight = 22
% 0.85/1.21 maxnrclauses = 10000000
% 0.85/1.21 Generated: 891
% 0.85/1.21 Kept: 12
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 The strategy used was not complete!
% 0.85/1.21
% 0.85/1.21 Increased maxweight to 23
% 0.85/1.21
% 0.85/1.21 Starting Search:
% 0.85/1.21
% 0.85/1.21 Resimplifying inuse:
% 0.85/1.21 Done
% 0.85/1.21
% 0.85/1.21 Failed to find proof!
% 0.85/1.21 maxweight = 23
% 0.85/1.21 maxnrclauses = 10000000
% 0.85/1.21 Generated: 891
% 0.85/1.21 Kept: 13
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 The strategy used was not complete!
% 0.85/1.21
% 0.85/1.21 Increased maxweight to 24
% 0.85/1.21
% 0.85/1.21 Starting Search:
% 0.85/1.21
% 0.85/1.21 Resimplifying inuse:
% 0.85/1.21 Done
% 0.85/1.21
% 0.85/1.21 Failed to find proof!
% 0.85/1.21 maxweight = 24
% 0.85/1.21 maxnrclauses = 10000000
% 0.85/1.21 Generated: 891
% 0.85/1.21 Kept: 13
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 The strategy used was not complete!
% 0.85/1.21
% 0.85/1.21 Increased maxweight to 25
% 0.85/1.21
% 0.85/1.21 Starting Search:
% 0.85/1.21
% 0.85/1.21 Resimplifying inuse:
% 0.85/1.21 Done
% 0.85/1.21
% 0.85/1.21 Failed to find proof!
% 0.85/1.21 maxweight = 25
% 0.85/1.21 maxnrclauses = 10000000
% 0.85/1.21 Generated: 891
% 0.85/1.21 Kept: 13
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 The strategy used was not complete!
% 0.85/1.21
% 0.85/1.21 Increased maxweight to 26
% 0.85/1.21
% 0.85/1.21 Starting Search:
% 0.85/1.21
% 0.85/1.21 Resimplifying inuse:
% 0.85/1.21 Done
% 0.85/1.21
% 0.85/1.21 Failed to find proof!
% 0.85/1.21 maxweight = 26
% 0.85/1.21 maxnrclauses = 10000000
% 0.85/1.21 Generated: 1008
% 0.85/1.21 Kept: 14
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 The strategy used was not complete!
% 0.85/1.21
% 0.85/1.21 Increased maxweight to 27
% 0.85/1.21
% 0.85/1.21 Starting Search:
% 0.85/1.21
% 0.85/1.21 Resimplifying inuse:
% 0.85/1.21 Done
% 0.85/1.21
% 0.85/1.21 Failed to find proof!
% 0.85/1.21 maxweight = 27
% 0.85/1.21 maxnrclauses = 10000000
% 0.85/1.21 Generated: 2083
% 0.85/1.21 Kept: 18
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 The strategy used was not complete!
% 0.85/1.21
% 0.85/1.21 Increased maxweight to 28
% 0.85/1.21
% 0.85/1.21 Starting Search:
% 0.85/1.21
% 0.85/1.21 Resimplifying inuse:
% 0.85/1.21 Done
% 0.85/1.21
% 0.85/1.21 Failed to find proof!
% 0.85/1.21 maxweight = 28
% 0.85/1.21 maxnrclauses = 10000000
% 0.85/1.21 Generated: 2083
% 0.85/1.21 Kept: 19
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 The strategy used was not complete!
% 0.85/1.21
% 0.85/1.21 Increased maxweight to 29
% 0.85/1.21
% 0.85/1.21 Starting Search:
% 0.85/1.21
% 0.85/1.21 Resimplifying inuse:
% 0.85/1.21 Done
% 0.85/1.21
% 0.85/1.21 Failed to find proof!
% 0.85/1.21 maxweight = 29
% 0.85/1.21 maxnrclauses = 10000000
% 0.85/1.21 Generated: 3042
% 0.85/1.21 Kept: 22
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 The strategy used was not complete!
% 0.85/1.21
% 0.85/1.21 Increased maxweight to 30
% 0.85/1.21
% 0.85/1.21 Starting Search:
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 Bliksems!, er is een bewijs:
% 0.85/1.21 % SZS status Unsatisfiable
% 0.85/1.21 % SZS output start Refutation
% 0.85/1.21
% 0.85/1.21 clause( 0, [ =( inverse( multiply( inverse( multiply( X, inverse( multiply(
% 0.85/1.21 inverse( Y ), multiply( inverse( Z ), inverse( multiply( inverse( Z ), Z
% 0.85/1.21 ) ) ) ) ) ) ), multiply( X, Z ) ) ), Y ) ] )
% 0.85/1.21 .
% 0.85/1.21 clause( 1, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 ),
% 0.85/1.21 a1 ) ) ) ] )
% 0.85/1.21 .
% 0.85/1.21 clause( 2, [ =( inverse( multiply( inverse( multiply( Z, Y ) ), multiply( Z
% 0.85/1.21 , X ) ) ), multiply( inverse( X ), inverse( multiply( inverse( Y ),
% 0.85/1.21 multiply( inverse( inverse( multiply( inverse( X ), X ) ) ), inverse(
% 0.85/1.21 multiply( inverse( inverse( multiply( inverse( X ), X ) ) ), inverse(
% 0.85/1.21 multiply( inverse( X ), X ) ) ) ) ) ) ) ) ) ] )
% 0.85/1.21 .
% 0.85/1.21 clause( 3, [ =( inverse( multiply( inverse( multiply( T, inverse( multiply(
% 0.85/1.21 Y, multiply( inverse( U ), inverse( multiply( inverse( U ), U ) ) ) ) ) )
% 0.85/1.21 ), multiply( T, U ) ) ), multiply( inverse( multiply( X, inverse(
% 0.85/1.21 multiply( inverse( Y ), multiply( inverse( Z ), inverse( multiply(
% 0.85/1.21 inverse( Z ), Z ) ) ) ) ) ) ), multiply( X, Z ) ) ) ] )
% 0.85/1.21 .
% 0.85/1.21 clause( 5, [ =( inverse( multiply( inverse( multiply( T, Y ) ), multiply( T
% 0.85/1.21 , X ) ) ), inverse( multiply( inverse( multiply( Z, Y ) ), multiply( Z, X
% 0.85/1.21 ) ) ) ) ] )
% 0.85/1.21 .
% 0.85/1.21 clause( 6, [ =( inverse( multiply( inverse( inverse( multiply( inverse(
% 0.85/1.21 multiply( Z, Y ) ), multiply( Z, X ) ) ) ), multiply( inverse( X ),
% 0.85/1.21 inverse( multiply( inverse( X ), X ) ) ) ) ), Y ) ] )
% 0.85/1.21 .
% 0.85/1.21 clause( 9, [ =( multiply( inverse( multiply( T, Y ) ), multiply( T, Z ) ),
% 0.85/1.21 multiply( inverse( multiply( X, Y ) ), multiply( X, Z ) ) ) ] )
% 0.85/1.21 .
% 0.85/1.21 clause( 14, [ =( multiply( Y, multiply( inverse( multiply( X, inverse(
% 0.85/1.21 multiply( inverse( Y ), multiply( inverse( Z ), inverse( multiply(
% 0.85/1.21 inverse( Z ), Z ) ) ) ) ) ) ), T ) ), multiply( inverse( multiply( U,
% 0.85/1.21 multiply( X, Z ) ) ), multiply( U, T ) ) ) ] )
% 0.85/1.21 .
% 0.85/1.21 clause( 17, [ =( multiply( inverse( multiply( T, inverse( multiply( inverse(
% 0.85/1.21 inverse( Y ) ), multiply( inverse( U ), inverse( multiply( inverse( U ),
% 0.85/1.21 U ) ) ) ) ) ) ), multiply( T, U ) ), Y ) ] )
% 0.85/1.21 .
% 0.85/1.21 clause( 35, [ =( multiply( inverse( Y ), Y ), multiply( inverse( multiply(
% 0.85/1.21 T, multiply( X, Z ) ) ), multiply( T, multiply( X, Z ) ) ) ) ] )
% 0.85/1.21 .
% 0.85/1.21 clause( 36, [ =( multiply( inverse( U ), U ), multiply( inverse( T ), T ) )
% 0.85/1.21 ] )
% 0.85/1.21 .
% 0.85/1.21 clause( 130, [ ~( =( multiply( inverse( X ), X ), multiply( inverse( a1 ),
% 0.85/1.21 a1 ) ) ) ] )
% 0.85/1.21 .
% 0.85/1.21 clause( 131, [] )
% 0.85/1.21 .
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 % SZS output end Refutation
% 0.85/1.21 found a proof!
% 0.85/1.21
% 0.85/1.21 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.85/1.21
% 0.85/1.21 initialclauses(
% 0.85/1.21 [ clause( 133, [ =( inverse( multiply( inverse( multiply( X, inverse(
% 0.85/1.21 multiply( inverse( Y ), multiply( inverse( Z ), inverse( multiply(
% 0.85/1.21 inverse( Z ), Z ) ) ) ) ) ) ), multiply( X, Z ) ) ), Y ) ] )
% 0.85/1.21 , clause( 134, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1
% 0.85/1.21 ), b1 ) ) ) ] )
% 0.85/1.21 ] ).
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 subsumption(
% 0.85/1.21 clause( 0, [ =( inverse( multiply( inverse( multiply( X, inverse( multiply(
% 0.85/1.21 inverse( Y ), multiply( inverse( Z ), inverse( multiply( inverse( Z ), Z
% 0.85/1.21 ) ) ) ) ) ) ), multiply( X, Z ) ) ), Y ) ] )
% 0.85/1.21 , clause( 133, [ =( inverse( multiply( inverse( multiply( X, inverse(
% 0.85/1.21 multiply( inverse( Y ), multiply( inverse( Z ), inverse( multiply(
% 0.85/1.21 inverse( Z ), Z ) ) ) ) ) ) ), multiply( X, Z ) ) ), Y ) ] )
% 0.85/1.21 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.85/1.21 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 eqswap(
% 0.85/1.21 clause( 137, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 )
% 0.85/1.21 , a1 ) ) ) ] )
% 0.85/1.21 , clause( 134, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1
% 0.85/1.21 ), b1 ) ) ) ] )
% 0.85/1.21 , 0, substitution( 0, [] )).
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 subsumption(
% 0.85/1.21 clause( 1, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 ),
% 0.85/1.21 a1 ) ) ) ] )
% 0.85/1.21 , clause( 137, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1
% 0.85/1.21 ), a1 ) ) ) ] )
% 0.85/1.21 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 eqswap(
% 0.85/1.21 clause( 138, [ =( Y, inverse( multiply( inverse( multiply( X, inverse(
% 0.85/1.21 multiply( inverse( Y ), multiply( inverse( Z ), inverse( multiply(
% 0.85/1.21 inverse( Z ), Z ) ) ) ) ) ) ), multiply( X, Z ) ) ) ) ] )
% 0.85/1.21 , clause( 0, [ =( inverse( multiply( inverse( multiply( X, inverse(
% 0.85/1.21 multiply( inverse( Y ), multiply( inverse( Z ), inverse( multiply(
% 0.85/1.21 inverse( Z ), Z ) ) ) ) ) ) ), multiply( X, Z ) ) ), Y ) ] )
% 0.85/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 paramod(
% 0.85/1.21 clause( 141, [ =( multiply( inverse( X ), inverse( multiply( inverse( Y ),
% 0.85/1.21 multiply( inverse( inverse( multiply( inverse( X ), X ) ) ), inverse(
% 0.85/1.21 multiply( inverse( inverse( multiply( inverse( X ), X ) ) ), inverse(
% 0.85/1.21 multiply( inverse( X ), X ) ) ) ) ) ) ) ), inverse( multiply( inverse(
% 0.85/1.21 multiply( Z, Y ) ), multiply( Z, X ) ) ) ) ] )
% 0.85/1.21 , clause( 0, [ =( inverse( multiply( inverse( multiply( X, inverse(
% 0.85/1.21 multiply( inverse( Y ), multiply( inverse( Z ), inverse( multiply(
% 0.85/1.21 inverse( Z ), Z ) ) ) ) ) ) ), multiply( X, Z ) ) ), Y ) ] )
% 0.85/1.21 , 0, clause( 138, [ =( Y, inverse( multiply( inverse( multiply( X, inverse(
% 0.85/1.21 multiply( inverse( Y ), multiply( inverse( Z ), inverse( multiply(
% 0.85/1.21 inverse( Z ), Z ) ) ) ) ) ) ), multiply( X, Z ) ) ) ) ] )
% 0.85/1.21 , 0, 33, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, Y ), :=( Z,
% 0.85/1.21 inverse( multiply( inverse( X ), X ) ) )] ), substitution( 1, [ :=( X, Z
% 0.85/1.21 ), :=( Y, multiply( inverse( X ), inverse( multiply( inverse( Y ),
% 0.85/1.21 multiply( inverse( inverse( multiply( inverse( X ), X ) ) ), inverse(
% 0.85/1.21 multiply( inverse( inverse( multiply( inverse( X ), X ) ) ), inverse(
% 0.85/1.21 multiply( inverse( X ), X ) ) ) ) ) ) ) ) ), :=( Z, X )] )).
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 eqswap(
% 0.85/1.21 clause( 146, [ =( inverse( multiply( inverse( multiply( Z, Y ) ), multiply(
% 0.85/1.21 Z, X ) ) ), multiply( inverse( X ), inverse( multiply( inverse( Y ),
% 0.85/1.21 multiply( inverse( inverse( multiply( inverse( X ), X ) ) ), inverse(
% 0.85/1.21 multiply( inverse( inverse( multiply( inverse( X ), X ) ) ), inverse(
% 0.85/1.21 multiply( inverse( X ), X ) ) ) ) ) ) ) ) ) ] )
% 0.85/1.21 , clause( 141, [ =( multiply( inverse( X ), inverse( multiply( inverse( Y )
% 0.85/1.21 , multiply( inverse( inverse( multiply( inverse( X ), X ) ) ), inverse(
% 0.85/1.21 multiply( inverse( inverse( multiply( inverse( X ), X ) ) ), inverse(
% 0.85/1.21 multiply( inverse( X ), X ) ) ) ) ) ) ) ), inverse( multiply( inverse(
% 0.85/1.21 multiply( Z, Y ) ), multiply( Z, X ) ) ) ) ] )
% 0.85/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 subsumption(
% 0.85/1.21 clause( 2, [ =( inverse( multiply( inverse( multiply( Z, Y ) ), multiply( Z
% 0.85/1.21 , X ) ) ), multiply( inverse( X ), inverse( multiply( inverse( Y ),
% 0.85/1.21 multiply( inverse( inverse( multiply( inverse( X ), X ) ) ), inverse(
% 0.85/1.21 multiply( inverse( inverse( multiply( inverse( X ), X ) ) ), inverse(
% 0.85/1.21 multiply( inverse( X ), X ) ) ) ) ) ) ) ) ) ] )
% 0.85/1.21 , clause( 146, [ =( inverse( multiply( inverse( multiply( Z, Y ) ),
% 0.85/1.21 multiply( Z, X ) ) ), multiply( inverse( X ), inverse( multiply( inverse(
% 0.85/1.21 Y ), multiply( inverse( inverse( multiply( inverse( X ), X ) ) ), inverse(
% 0.85/1.21 multiply( inverse( inverse( multiply( inverse( X ), X ) ) ), inverse(
% 0.85/1.21 multiply( inverse( X ), X ) ) ) ) ) ) ) ) ) ] )
% 0.85/1.21 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.85/1.21 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 eqswap(
% 0.85/1.21 clause( 151, [ =( Y, inverse( multiply( inverse( multiply( X, inverse(
% 0.85/1.21 multiply( inverse( Y ), multiply( inverse( Z ), inverse( multiply(
% 0.85/1.21 inverse( Z ), Z ) ) ) ) ) ) ), multiply( X, Z ) ) ) ) ] )
% 0.85/1.21 , clause( 0, [ =( inverse( multiply( inverse( multiply( X, inverse(
% 0.85/1.21 multiply( inverse( Y ), multiply( inverse( Z ), inverse( multiply(
% 0.85/1.21 inverse( Z ), Z ) ) ) ) ) ) ), multiply( X, Z ) ) ), Y ) ] )
% 0.85/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 paramod(
% 0.85/1.21 clause( 155, [ =( multiply( inverse( multiply( X, inverse( multiply(
% 0.85/1.21 inverse( Y ), multiply( inverse( Z ), inverse( multiply( inverse( Z ), Z
% 0.85/1.21 ) ) ) ) ) ) ), multiply( X, Z ) ), inverse( multiply( inverse( multiply(
% 0.85/1.21 T, inverse( multiply( Y, multiply( inverse( U ), inverse( multiply(
% 0.85/1.21 inverse( U ), U ) ) ) ) ) ) ), multiply( T, U ) ) ) ) ] )
% 0.85/1.21 , clause( 0, [ =( inverse( multiply( inverse( multiply( X, inverse(
% 0.85/1.21 multiply( inverse( Y ), multiply( inverse( Z ), inverse( multiply(
% 0.85/1.21 inverse( Z ), Z ) ) ) ) ) ) ), multiply( X, Z ) ) ), Y ) ] )
% 0.85/1.21 , 0, clause( 151, [ =( Y, inverse( multiply( inverse( multiply( X, inverse(
% 0.85/1.21 multiply( inverse( Y ), multiply( inverse( Z ), inverse( multiply(
% 0.85/1.21 inverse( Z ), Z ) ) ) ) ) ) ), multiply( X, Z ) ) ) ) ] )
% 0.85/1.21 , 0, 27, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.85/1.21 substitution( 1, [ :=( X, T ), :=( Y, multiply( inverse( multiply( X,
% 0.85/1.21 inverse( multiply( inverse( Y ), multiply( inverse( Z ), inverse(
% 0.85/1.21 multiply( inverse( Z ), Z ) ) ) ) ) ) ), multiply( X, Z ) ) ), :=( Z, U )] )
% 0.85/1.21 ).
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 eqswap(
% 0.85/1.21 clause( 160, [ =( inverse( multiply( inverse( multiply( T, inverse(
% 0.85/1.21 multiply( Y, multiply( inverse( U ), inverse( multiply( inverse( U ), U )
% 0.85/1.21 ) ) ) ) ) ), multiply( T, U ) ) ), multiply( inverse( multiply( X,
% 0.85/1.21 inverse( multiply( inverse( Y ), multiply( inverse( Z ), inverse(
% 0.85/1.21 multiply( inverse( Z ), Z ) ) ) ) ) ) ), multiply( X, Z ) ) ) ] )
% 0.85/1.21 , clause( 155, [ =( multiply( inverse( multiply( X, inverse( multiply(
% 0.85/1.21 inverse( Y ), multiply( inverse( Z ), inverse( multiply( inverse( Z ), Z
% 0.85/1.21 ) ) ) ) ) ) ), multiply( X, Z ) ), inverse( multiply( inverse( multiply(
% 0.85/1.21 T, inverse( multiply( Y, multiply( inverse( U ), inverse( multiply(
% 0.85/1.21 inverse( U ), U ) ) ) ) ) ) ), multiply( T, U ) ) ) ) ] )
% 0.85/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 0.85/1.21 :=( U, U )] )).
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 subsumption(
% 0.85/1.21 clause( 3, [ =( inverse( multiply( inverse( multiply( T, inverse( multiply(
% 0.85/1.21 Y, multiply( inverse( U ), inverse( multiply( inverse( U ), U ) ) ) ) ) )
% 0.85/1.21 ), multiply( T, U ) ) ), multiply( inverse( multiply( X, inverse(
% 0.85/1.21 multiply( inverse( Y ), multiply( inverse( Z ), inverse( multiply(
% 0.85/1.21 inverse( Z ), Z ) ) ) ) ) ) ), multiply( X, Z ) ) ) ] )
% 0.85/1.21 , clause( 160, [ =( inverse( multiply( inverse( multiply( T, inverse(
% 0.85/1.21 multiply( Y, multiply( inverse( U ), inverse( multiply( inverse( U ), U )
% 0.85/1.21 ) ) ) ) ) ), multiply( T, U ) ) ), multiply( inverse( multiply( X,
% 0.85/1.21 inverse( multiply( inverse( Y ), multiply( inverse( Z ), inverse(
% 0.85/1.21 multiply( inverse( Z ), Z ) ) ) ) ) ) ), multiply( X, Z ) ) ) ] )
% 0.85/1.21 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.85/1.21 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 eqswap(
% 0.85/1.21 clause( 164, [ =( multiply( inverse( Z ), inverse( multiply( inverse( Y ),
% 0.85/1.21 multiply( inverse( inverse( multiply( inverse( Z ), Z ) ) ), inverse(
% 0.85/1.21 multiply( inverse( inverse( multiply( inverse( Z ), Z ) ) ), inverse(
% 0.85/1.21 multiply( inverse( Z ), Z ) ) ) ) ) ) ) ), inverse( multiply( inverse(
% 0.85/1.21 multiply( X, Y ) ), multiply( X, Z ) ) ) ) ] )
% 0.85/1.21 , clause( 2, [ =( inverse( multiply( inverse( multiply( Z, Y ) ), multiply(
% 0.85/1.21 Z, X ) ) ), multiply( inverse( X ), inverse( multiply( inverse( Y ),
% 0.85/1.21 multiply( inverse( inverse( multiply( inverse( X ), X ) ) ), inverse(
% 0.85/1.21 multiply( inverse( inverse( multiply( inverse( X ), X ) ) ), inverse(
% 0.85/1.21 multiply( inverse( X ), X ) ) ) ) ) ) ) ) ) ] )
% 0.85/1.21 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 eqswap(
% 0.85/1.21 clause( 165, [ =( multiply( inverse( Z ), inverse( multiply( inverse( Y ),
% 0.85/1.21 multiply( inverse( inverse( multiply( inverse( Z ), Z ) ) ), inverse(
% 0.85/1.21 multiply( inverse( inverse( multiply( inverse( Z ), Z ) ) ), inverse(
% 0.85/1.21 multiply( inverse( Z ), Z ) ) ) ) ) ) ) ), inverse( multiply( inverse(
% 0.85/1.21 multiply( X, Y ) ), multiply( X, Z ) ) ) ) ] )
% 0.85/1.21 , clause( 2, [ =( inverse( multiply( inverse( multiply( Z, Y ) ), multiply(
% 0.85/1.21 Z, X ) ) ), multiply( inverse( X ), inverse( multiply( inverse( Y ),
% 0.85/1.21 multiply( inverse( inverse( multiply( inverse( X ), X ) ) ), inverse(
% 0.85/1.21 multiply( inverse( inverse( multiply( inverse( X ), X ) ) ), inverse(
% 0.85/1.21 multiply( inverse( X ), X ) ) ) ) ) ) ) ) ) ] )
% 0.85/1.21 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 paramod(
% 0.85/1.21 clause( 166, [ =( inverse( multiply( inverse( multiply( T, Y ) ), multiply(
% 0.85/1.21 T, X ) ) ), inverse( multiply( inverse( multiply( Z, Y ) ), multiply( Z,
% 0.85/1.21 X ) ) ) ) ] )
% 0.85/1.21 , clause( 164, [ =( multiply( inverse( Z ), inverse( multiply( inverse( Y )
% 0.85/1.21 , multiply( inverse( inverse( multiply( inverse( Z ), Z ) ) ), inverse(
% 0.85/1.21 multiply( inverse( inverse( multiply( inverse( Z ), Z ) ) ), inverse(
% 0.85/1.21 multiply( inverse( Z ), Z ) ) ) ) ) ) ) ), inverse( multiply( inverse(
% 0.85/1.21 multiply( X, Y ) ), multiply( X, Z ) ) ) ) ] )
% 0.85/1.21 , 0, clause( 165, [ =( multiply( inverse( Z ), inverse( multiply( inverse(
% 0.85/1.21 Y ), multiply( inverse( inverse( multiply( inverse( Z ), Z ) ) ), inverse(
% 0.85/1.21 multiply( inverse( inverse( multiply( inverse( Z ), Z ) ) ), inverse(
% 0.85/1.21 multiply( inverse( Z ), Z ) ) ) ) ) ) ) ), inverse( multiply( inverse(
% 0.85/1.21 multiply( X, Y ) ), multiply( X, Z ) ) ) ) ] )
% 0.85/1.21 , 0, 1, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, X )] ),
% 0.85/1.21 substitution( 1, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 subsumption(
% 0.85/1.21 clause( 5, [ =( inverse( multiply( inverse( multiply( T, Y ) ), multiply( T
% 0.85/1.21 , X ) ) ), inverse( multiply( inverse( multiply( Z, Y ) ), multiply( Z, X
% 0.85/1.21 ) ) ) ) ] )
% 0.85/1.21 , clause( 166, [ =( inverse( multiply( inverse( multiply( T, Y ) ),
% 0.85/1.21 multiply( T, X ) ) ), inverse( multiply( inverse( multiply( Z, Y ) ),
% 0.85/1.21 multiply( Z, X ) ) ) ) ] )
% 0.85/1.21 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.85/1.21 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 eqswap(
% 0.85/1.21 clause( 171, [ =( multiply( inverse( Z ), inverse( multiply( inverse( Y ),
% 0.85/1.21 multiply( inverse( inverse( multiply( inverse( Z ), Z ) ) ), inverse(
% 0.85/1.21 multiply( inverse( inverse( multiply( inverse( Z ), Z ) ) ), inverse(
% 0.85/1.21 multiply( inverse( Z ), Z ) ) ) ) ) ) ) ), inverse( multiply( inverse(
% 0.85/1.21 multiply( X, Y ) ), multiply( X, Z ) ) ) ) ] )
% 0.85/1.21 , clause( 2, [ =( inverse( multiply( inverse( multiply( Z, Y ) ), multiply(
% 0.85/1.21 Z, X ) ) ), multiply( inverse( X ), inverse( multiply( inverse( Y ),
% 0.85/1.21 multiply( inverse( inverse( multiply( inverse( X ), X ) ) ), inverse(
% 0.85/1.21 multiply( inverse( inverse( multiply( inverse( X ), X ) ) ), inverse(
% 0.85/1.21 multiply( inverse( X ), X ) ) ) ) ) ) ) ) ) ] )
% 0.85/1.21 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 eqswap(
% 0.85/1.21 clause( 172, [ =( Y, inverse( multiply( inverse( multiply( X, inverse(
% 0.85/1.21 multiply( inverse( Y ), multiply( inverse( Z ), inverse( multiply(
% 0.85/1.21 inverse( Z ), Z ) ) ) ) ) ) ), multiply( X, Z ) ) ) ) ] )
% 0.85/1.21 , clause( 0, [ =( inverse( multiply( inverse( multiply( X, inverse(
% 0.85/1.21 multiply( inverse( Y ), multiply( inverse( Z ), inverse( multiply(
% 0.85/1.21 inverse( Z ), Z ) ) ) ) ) ) ), multiply( X, Z ) ) ), Y ) ] )
% 0.85/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 paramod(
% 0.85/1.21 clause( 173, [ =( X, inverse( multiply( inverse( inverse( multiply( inverse(
% 0.85/1.21 multiply( Z, X ) ), multiply( Z, Y ) ) ) ), multiply( inverse( Y ),
% 0.85/1.21 inverse( multiply( inverse( Y ), Y ) ) ) ) ) ) ] )
% 0.85/1.21 , clause( 171, [ =( multiply( inverse( Z ), inverse( multiply( inverse( Y )
% 0.85/1.21 , multiply( inverse( inverse( multiply( inverse( Z ), Z ) ) ), inverse(
% 0.85/1.21 multiply( inverse( inverse( multiply( inverse( Z ), Z ) ) ), inverse(
% 0.85/1.21 multiply( inverse( Z ), Z ) ) ) ) ) ) ) ), inverse( multiply( inverse(
% 0.85/1.21 multiply( X, Y ) ), multiply( X, Z ) ) ) ) ] )
% 0.85/1.21 , 0, clause( 172, [ =( Y, inverse( multiply( inverse( multiply( X, inverse(
% 0.85/1.21 multiply( inverse( Y ), multiply( inverse( Z ), inverse( multiply(
% 0.85/1.21 inverse( Z ), Z ) ) ) ) ) ) ), multiply( X, Z ) ) ) ) ] )
% 0.85/1.21 , 0, 5, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.85/1.21 substitution( 1, [ :=( X, inverse( Y ) ), :=( Y, X ), :=( Z, inverse(
% 0.85/1.21 multiply( inverse( Y ), Y ) ) )] )).
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 eqswap(
% 0.85/1.21 clause( 175, [ =( inverse( multiply( inverse( inverse( multiply( inverse(
% 0.85/1.21 multiply( Y, X ) ), multiply( Y, Z ) ) ) ), multiply( inverse( Z ),
% 0.85/1.21 inverse( multiply( inverse( Z ), Z ) ) ) ) ), X ) ] )
% 0.85/1.21 , clause( 173, [ =( X, inverse( multiply( inverse( inverse( multiply(
% 0.85/1.21 inverse( multiply( Z, X ) ), multiply( Z, Y ) ) ) ), multiply( inverse( Y
% 0.85/1.21 ), inverse( multiply( inverse( Y ), Y ) ) ) ) ) ) ] )
% 0.85/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 subsumption(
% 0.85/1.21 clause( 6, [ =( inverse( multiply( inverse( inverse( multiply( inverse(
% 0.85/1.21 multiply( Z, Y ) ), multiply( Z, X ) ) ) ), multiply( inverse( X ),
% 0.85/1.21 inverse( multiply( inverse( X ), X ) ) ) ) ), Y ) ] )
% 0.85/1.21 , clause( 175, [ =( inverse( multiply( inverse( inverse( multiply( inverse(
% 0.85/1.21 multiply( Y, X ) ), multiply( Y, Z ) ) ) ), multiply( inverse( Z ),
% 0.85/1.21 inverse( multiply( inverse( Z ), Z ) ) ) ) ), X ) ] )
% 0.85/1.21 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.85/1.21 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 eqswap(
% 0.85/1.21 clause( 177, [ =( Y, inverse( multiply( inverse( multiply( X, inverse(
% 0.85/1.21 multiply( inverse( Y ), multiply( inverse( Z ), inverse( multiply(
% 0.85/1.21 inverse( Z ), Z ) ) ) ) ) ) ), multiply( X, Z ) ) ) ) ] )
% 0.85/1.21 , clause( 0, [ =( inverse( multiply( inverse( multiply( X, inverse(
% 0.85/1.21 multiply( inverse( Y ), multiply( inverse( Z ), inverse( multiply(
% 0.85/1.21 inverse( Z ), Z ) ) ) ) ) ) ), multiply( X, Z ) ) ), Y ) ] )
% 0.85/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 paramod(
% 0.85/1.21 clause( 181, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X, Z ) )
% 0.85/1.21 , inverse( multiply( inverse( multiply( T, inverse( multiply( inverse(
% 0.85/1.21 multiply( inverse( multiply( W, Y ) ), multiply( W, Z ) ) ), multiply(
% 0.85/1.21 inverse( U ), inverse( multiply( inverse( U ), U ) ) ) ) ) ) ), multiply(
% 0.85/1.21 T, U ) ) ) ) ] )
% 0.85/1.21 , clause( 5, [ =( inverse( multiply( inverse( multiply( T, Y ) ), multiply(
% 0.85/1.21 T, X ) ) ), inverse( multiply( inverse( multiply( Z, Y ) ), multiply( Z,
% 0.85/1.21 X ) ) ) ) ] )
% 0.85/1.21 , 0, clause( 177, [ =( Y, inverse( multiply( inverse( multiply( X, inverse(
% 0.85/1.21 multiply( inverse( Y ), multiply( inverse( Z ), inverse( multiply(
% 0.85/1.21 inverse( Z ), Z ) ) ) ) ) ) ), multiply( X, Z ) ) ) ) ] )
% 0.85/1.21 , 0, 16, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, W ), :=( T, X )] )
% 0.85/1.21 , substitution( 1, [ :=( X, T ), :=( Y, multiply( inverse( multiply( X, Y
% 0.85/1.21 ) ), multiply( X, Z ) ) ), :=( Z, U )] )).
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 paramod(
% 0.85/1.21 clause( 187, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X, Z ) )
% 0.85/1.21 , multiply( inverse( multiply( U, Y ) ), multiply( U, Z ) ) ) ] )
% 0.85/1.21 , clause( 0, [ =( inverse( multiply( inverse( multiply( X, inverse(
% 0.85/1.21 multiply( inverse( Y ), multiply( inverse( Z ), inverse( multiply(
% 0.85/1.21 inverse( Z ), Z ) ) ) ) ) ) ), multiply( X, Z ) ) ), Y ) ] )
% 0.85/1.21 , 0, clause( 181, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X,
% 0.85/1.21 Z ) ), inverse( multiply( inverse( multiply( T, inverse( multiply(
% 0.85/1.21 inverse( multiply( inverse( multiply( W, Y ) ), multiply( W, Z ) ) ),
% 0.85/1.21 multiply( inverse( U ), inverse( multiply( inverse( U ), U ) ) ) ) ) ) )
% 0.85/1.21 , multiply( T, U ) ) ) ) ] )
% 0.85/1.21 , 0, 9, substitution( 0, [ :=( X, T ), :=( Y, multiply( inverse( multiply(
% 0.85/1.21 U, Y ) ), multiply( U, Z ) ) ), :=( Z, W )] ), substitution( 1, [ :=( X,
% 0.85/1.21 X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U, W ), :=( W, U )] )).
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 subsumption(
% 0.85/1.21 clause( 9, [ =( multiply( inverse( multiply( T, Y ) ), multiply( T, Z ) ),
% 0.85/1.21 multiply( inverse( multiply( X, Y ) ), multiply( X, Z ) ) ) ] )
% 0.85/1.21 , clause( 187, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X, Z )
% 0.85/1.21 ), multiply( inverse( multiply( U, Y ) ), multiply( U, Z ) ) ) ] )
% 0.85/1.21 , substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, U ), :=( U
% 0.85/1.21 , X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 paramod(
% 0.85/1.21 clause( 198, [ =( multiply( Y, multiply( inverse( multiply( X, inverse(
% 0.85/1.21 multiply( inverse( Y ), multiply( inverse( Z ), inverse( multiply(
% 0.85/1.21 inverse( Z ), Z ) ) ) ) ) ) ), T ) ), multiply( inverse( multiply( U,
% 0.85/1.21 multiply( X, Z ) ) ), multiply( U, T ) ) ) ] )
% 0.85/1.21 , clause( 0, [ =( inverse( multiply( inverse( multiply( X, inverse(
% 0.85/1.21 multiply( inverse( Y ), multiply( inverse( Z ), inverse( multiply(
% 0.85/1.21 inverse( Z ), Z ) ) ) ) ) ) ), multiply( X, Z ) ) ), Y ) ] )
% 0.85/1.21 , 0, clause( 9, [ =( multiply( inverse( multiply( T, Y ) ), multiply( T, Z
% 0.85/1.21 ) ), multiply( inverse( multiply( X, Y ) ), multiply( X, Z ) ) ) ] )
% 0.85/1.21 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.85/1.21 substitution( 1, [ :=( X, U ), :=( Y, multiply( X, Z ) ), :=( Z, T ),
% 0.85/1.21 :=( T, inverse( multiply( X, inverse( multiply( inverse( Y ), multiply(
% 0.85/1.21 inverse( Z ), inverse( multiply( inverse( Z ), Z ) ) ) ) ) ) ) )] )).
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 subsumption(
% 0.85/1.21 clause( 14, [ =( multiply( Y, multiply( inverse( multiply( X, inverse(
% 0.85/1.21 multiply( inverse( Y ), multiply( inverse( Z ), inverse( multiply(
% 0.85/1.21 inverse( Z ), Z ) ) ) ) ) ) ), T ) ), multiply( inverse( multiply( U,
% 0.85/1.21 multiply( X, Z ) ) ), multiply( U, T ) ) ) ] )
% 0.85/1.21 , clause( 198, [ =( multiply( Y, multiply( inverse( multiply( X, inverse(
% 0.85/1.21 multiply( inverse( Y ), multiply( inverse( Z ), inverse( multiply(
% 0.85/1.21 inverse( Z ), Z ) ) ) ) ) ) ), T ) ), multiply( inverse( multiply( U,
% 0.85/1.21 multiply( X, Z ) ) ), multiply( U, T ) ) ) ] )
% 0.85/1.21 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.85/1.21 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 eqswap(
% 0.85/1.21 clause( 200, [ =( multiply( inverse( Z ), inverse( multiply( inverse( Y ),
% 0.85/1.21 multiply( inverse( inverse( multiply( inverse( Z ), Z ) ) ), inverse(
% 0.85/1.21 multiply( inverse( inverse( multiply( inverse( Z ), Z ) ) ), inverse(
% 0.85/1.21 multiply( inverse( Z ), Z ) ) ) ) ) ) ) ), inverse( multiply( inverse(
% 0.85/1.21 multiply( X, Y ) ), multiply( X, Z ) ) ) ) ] )
% 0.85/1.21 , clause( 2, [ =( inverse( multiply( inverse( multiply( Z, Y ) ), multiply(
% 0.85/1.21 Z, X ) ) ), multiply( inverse( X ), inverse( multiply( inverse( Y ),
% 0.85/1.21 multiply( inverse( inverse( multiply( inverse( X ), X ) ) ), inverse(
% 0.85/1.21 multiply( inverse( inverse( multiply( inverse( X ), X ) ) ), inverse(
% 0.85/1.21 multiply( inverse( X ), X ) ) ) ) ) ) ) ) ) ] )
% 0.85/1.21 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 eqswap(
% 0.85/1.21 clause( 201, [ =( multiply( inverse( multiply( T, inverse( multiply(
% 0.85/1.21 inverse( Y ), multiply( inverse( U ), inverse( multiply( inverse( U ), U
% 0.85/1.21 ) ) ) ) ) ) ), multiply( T, U ) ), inverse( multiply( inverse( multiply(
% 0.85/1.21 X, inverse( multiply( Y, multiply( inverse( Z ), inverse( multiply(
% 0.85/1.21 inverse( Z ), Z ) ) ) ) ) ) ), multiply( X, Z ) ) ) ) ] )
% 0.85/1.21 , clause( 3, [ =( inverse( multiply( inverse( multiply( T, inverse(
% 0.85/1.21 multiply( Y, multiply( inverse( U ), inverse( multiply( inverse( U ), U )
% 0.85/1.21 ) ) ) ) ) ), multiply( T, U ) ) ), multiply( inverse( multiply( X,
% 0.85/1.21 inverse( multiply( inverse( Y ), multiply( inverse( Z ), inverse(
% 0.85/1.21 multiply( inverse( Z ), Z ) ) ) ) ) ) ), multiply( X, Z ) ) ) ] )
% 0.85/1.21 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, U ), :=( T, X ),
% 0.85/1.21 :=( U, Z )] )).
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 paramod(
% 0.85/1.21 clause( 204, [ =( multiply( inverse( multiply( X, inverse( multiply(
% 0.85/1.21 inverse( inverse( Y ) ), multiply( inverse( Z ), inverse( multiply(
% 0.85/1.21 inverse( Z ), Z ) ) ) ) ) ) ), multiply( X, Z ) ), inverse( multiply(
% 0.85/1.21 inverse( inverse( multiply( inverse( multiply( U, Y ) ), multiply( U, T )
% 0.85/1.21 ) ) ), multiply( inverse( T ), inverse( multiply( inverse( T ), T ) ) )
% 0.85/1.21 ) ) ) ] )
% 0.85/1.21 , clause( 200, [ =( multiply( inverse( Z ), inverse( multiply( inverse( Y )
% 0.85/1.21 , multiply( inverse( inverse( multiply( inverse( Z ), Z ) ) ), inverse(
% 0.85/1.21 multiply( inverse( inverse( multiply( inverse( Z ), Z ) ) ), inverse(
% 0.85/1.21 multiply( inverse( Z ), Z ) ) ) ) ) ) ) ), inverse( multiply( inverse(
% 0.85/1.21 multiply( X, Y ) ), multiply( X, Z ) ) ) ) ] )
% 0.85/1.21 , 0, clause( 201, [ =( multiply( inverse( multiply( T, inverse( multiply(
% 0.85/1.21 inverse( Y ), multiply( inverse( U ), inverse( multiply( inverse( U ), U
% 0.85/1.21 ) ) ) ) ) ) ), multiply( T, U ) ), inverse( multiply( inverse( multiply(
% 0.85/1.21 X, inverse( multiply( Y, multiply( inverse( Z ), inverse( multiply(
% 0.85/1.21 inverse( Z ), Z ) ) ) ) ) ) ), multiply( X, Z ) ) ) ) ] )
% 0.85/1.21 , 0, 24, substitution( 0, [ :=( X, U ), :=( Y, Y ), :=( Z, T )] ),
% 0.85/1.21 substitution( 1, [ :=( X, inverse( T ) ), :=( Y, inverse( Y ) ), :=( Z,
% 0.85/1.21 inverse( multiply( inverse( T ), T ) ) ), :=( T, X ), :=( U, Z )] )).
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 paramod(
% 0.85/1.21 clause( 205, [ =( multiply( inverse( multiply( X, inverse( multiply(
% 0.85/1.22 inverse( inverse( Y ) ), multiply( inverse( Z ), inverse( multiply(
% 0.85/1.22 inverse( Z ), Z ) ) ) ) ) ) ), multiply( X, Z ) ), Y ) ] )
% 0.85/1.22 , clause( 6, [ =( inverse( multiply( inverse( inverse( multiply( inverse(
% 0.85/1.22 multiply( Z, Y ) ), multiply( Z, X ) ) ) ), multiply( inverse( X ),
% 0.85/1.22 inverse( multiply( inverse( X ), X ) ) ) ) ), Y ) ] )
% 0.85/1.22 , 0, clause( 204, [ =( multiply( inverse( multiply( X, inverse( multiply(
% 0.85/1.22 inverse( inverse( Y ) ), multiply( inverse( Z ), inverse( multiply(
% 0.85/1.22 inverse( Z ), Z ) ) ) ) ) ) ), multiply( X, Z ) ), inverse( multiply(
% 0.85/1.22 inverse( inverse( multiply( inverse( multiply( U, Y ) ), multiply( U, T )
% 0.85/1.22 ) ) ), multiply( inverse( T ), inverse( multiply( inverse( T ), T ) ) )
% 0.85/1.22 ) ) ) ] )
% 0.85/1.22 , 0, 21, substitution( 0, [ :=( X, U ), :=( Y, Y ), :=( Z, T )] ),
% 0.85/1.22 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, U ), :=( U
% 0.85/1.22 , T )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 subsumption(
% 0.85/1.22 clause( 17, [ =( multiply( inverse( multiply( T, inverse( multiply( inverse(
% 0.85/1.22 inverse( Y ) ), multiply( inverse( U ), inverse( multiply( inverse( U ),
% 0.85/1.22 U ) ) ) ) ) ) ), multiply( T, U ) ), Y ) ] )
% 0.85/1.22 , clause( 205, [ =( multiply( inverse( multiply( X, inverse( multiply(
% 0.85/1.22 inverse( inverse( Y ) ), multiply( inverse( Z ), inverse( multiply(
% 0.85/1.22 inverse( Z ), Z ) ) ) ) ) ) ), multiply( X, Z ) ), Y ) ] )
% 0.85/1.22 , substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, U )] ),
% 0.85/1.22 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 eqswap(
% 0.85/1.22 clause( 208, [ =( multiply( inverse( multiply( U, multiply( Y, Z ) ) ),
% 0.85/1.22 multiply( U, T ) ), multiply( X, multiply( inverse( multiply( Y, inverse(
% 0.85/1.22 multiply( inverse( X ), multiply( inverse( Z ), inverse( multiply(
% 0.85/1.22 inverse( Z ), Z ) ) ) ) ) ) ), T ) ) ) ] )
% 0.85/1.22 , clause( 14, [ =( multiply( Y, multiply( inverse( multiply( X, inverse(
% 0.85/1.22 multiply( inverse( Y ), multiply( inverse( Z ), inverse( multiply(
% 0.85/1.22 inverse( Z ), Z ) ) ) ) ) ) ), T ) ), multiply( inverse( multiply( U,
% 0.85/1.22 multiply( X, Z ) ) ), multiply( U, T ) ) ) ] )
% 0.85/1.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, T ),
% 0.85/1.22 :=( U, U )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 paramod(
% 0.85/1.22 clause( 220, [ =( multiply( inverse( multiply( X, multiply( Y, Z ) ) ),
% 0.85/1.22 multiply( X, multiply( Y, Z ) ) ), multiply( inverse( T ), T ) ) ] )
% 0.85/1.22 , clause( 17, [ =( multiply( inverse( multiply( T, inverse( multiply(
% 0.85/1.22 inverse( inverse( Y ) ), multiply( inverse( U ), inverse( multiply(
% 0.85/1.22 inverse( U ), U ) ) ) ) ) ) ), multiply( T, U ) ), Y ) ] )
% 0.85/1.22 , 0, clause( 208, [ =( multiply( inverse( multiply( U, multiply( Y, Z ) ) )
% 0.85/1.22 , multiply( U, T ) ), multiply( X, multiply( inverse( multiply( Y,
% 0.85/1.22 inverse( multiply( inverse( X ), multiply( inverse( Z ), inverse(
% 0.85/1.22 multiply( inverse( Z ), Z ) ) ) ) ) ) ), T ) ) ) ] )
% 0.85/1.22 , 0, 16, substitution( 0, [ :=( X, U ), :=( Y, T ), :=( Z, W ), :=( T, Y )
% 0.85/1.22 , :=( U, Z )] ), substitution( 1, [ :=( X, inverse( T ) ), :=( Y, Y ),
% 0.85/1.22 :=( Z, Z ), :=( T, multiply( Y, Z ) ), :=( U, X )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 eqswap(
% 0.85/1.22 clause( 225, [ =( multiply( inverse( T ), T ), multiply( inverse( multiply(
% 0.85/1.22 X, multiply( Y, Z ) ) ), multiply( X, multiply( Y, Z ) ) ) ) ] )
% 0.85/1.22 , clause( 220, [ =( multiply( inverse( multiply( X, multiply( Y, Z ) ) ),
% 0.85/1.22 multiply( X, multiply( Y, Z ) ) ), multiply( inverse( T ), T ) ) ] )
% 0.85/1.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.85/1.22 ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 subsumption(
% 0.85/1.22 clause( 35, [ =( multiply( inverse( Y ), Y ), multiply( inverse( multiply(
% 0.85/1.22 T, multiply( X, Z ) ) ), multiply( T, multiply( X, Z ) ) ) ) ] )
% 0.85/1.22 , clause( 225, [ =( multiply( inverse( T ), T ), multiply( inverse(
% 0.85/1.22 multiply( X, multiply( Y, Z ) ) ), multiply( X, multiply( Y, Z ) ) ) ) ]
% 0.85/1.22 )
% 0.85/1.22 , substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Z ), :=( T, Y )] ),
% 0.85/1.22 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 eqswap(
% 0.85/1.22 clause( 227, [ =( multiply( inverse( multiply( Y, multiply( Z, T ) ) ),
% 0.85/1.22 multiply( Y, multiply( Z, T ) ) ), multiply( inverse( X ), X ) ) ] )
% 0.85/1.22 , clause( 35, [ =( multiply( inverse( Y ), Y ), multiply( inverse( multiply(
% 0.85/1.22 T, multiply( X, Z ) ) ), multiply( T, multiply( X, Z ) ) ) ) ] )
% 0.85/1.22 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, T ), :=( T, Y )] )
% 0.85/1.22 ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 eqswap(
% 0.85/1.22 clause( 228, [ =( multiply( inverse( multiply( Y, multiply( Z, T ) ) ),
% 0.85/1.22 multiply( Y, multiply( Z, T ) ) ), multiply( inverse( X ), X ) ) ] )
% 0.85/1.22 , clause( 35, [ =( multiply( inverse( Y ), Y ), multiply( inverse( multiply(
% 0.85/1.22 T, multiply( X, Z ) ) ), multiply( T, multiply( X, Z ) ) ) ) ] )
% 0.85/1.22 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, T ), :=( T, Y )] )
% 0.85/1.22 ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 paramod(
% 0.85/1.22 clause( 229, [ =( multiply( inverse( U ), U ), multiply( inverse( T ), T )
% 0.85/1.22 ) ] )
% 0.85/1.22 , clause( 227, [ =( multiply( inverse( multiply( Y, multiply( Z, T ) ) ),
% 0.85/1.22 multiply( Y, multiply( Z, T ) ) ), multiply( inverse( X ), X ) ) ] )
% 0.85/1.22 , 0, clause( 228, [ =( multiply( inverse( multiply( Y, multiply( Z, T ) ) )
% 0.85/1.22 , multiply( Y, multiply( Z, T ) ) ), multiply( inverse( X ), X ) ) ] )
% 0.85/1.22 , 0, 1, substitution( 0, [ :=( X, U ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )
% 0.85/1.22 , substitution( 1, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )
% 0.85/1.22 ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 subsumption(
% 0.85/1.22 clause( 36, [ =( multiply( inverse( U ), U ), multiply( inverse( T ), T ) )
% 0.85/1.22 ] )
% 0.85/1.22 , clause( 229, [ =( multiply( inverse( U ), U ), multiply( inverse( T ), T
% 0.85/1.22 ) ) ] )
% 0.85/1.22 , substitution( 0, [ :=( X, W ), :=( Y, V0 ), :=( Z, V1 ), :=( T, T ), :=(
% 0.85/1.22 U, U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 eqswap(
% 0.85/1.22 clause( 240, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 )
% 0.85/1.22 , b1 ) ) ) ] )
% 0.85/1.22 , clause( 1, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 )
% 0.85/1.22 , a1 ) ) ) ] )
% 0.85/1.22 , 0, substitution( 0, [] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 paramod(
% 0.85/1.22 clause( 242, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( X )
% 0.85/1.22 , X ) ) ) ] )
% 0.85/1.22 , clause( 36, [ =( multiply( inverse( U ), U ), multiply( inverse( T ), T )
% 0.85/1.22 ) ] )
% 0.85/1.22 , 0, clause( 240, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse(
% 0.85/1.22 b1 ), b1 ) ) ) ] )
% 0.85/1.22 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, X ),
% 0.85/1.22 :=( U, b1 )] ), substitution( 1, [] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 paramod(
% 0.85/1.22 clause( 243, [ ~( =( multiply( inverse( Y ), Y ), multiply( inverse( X ), X
% 0.85/1.22 ) ) ) ] )
% 0.85/1.22 , clause( 36, [ =( multiply( inverse( U ), U ), multiply( inverse( T ), T )
% 0.85/1.22 ) ] )
% 0.85/1.22 , 0, clause( 242, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse(
% 0.85/1.22 X ), X ) ) ) ] )
% 0.85/1.22 , 0, 2, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, Y ),
% 0.85/1.22 :=( U, a1 )] ), substitution( 1, [ :=( X, X )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 subsumption(
% 0.85/1.22 clause( 130, [ ~( =( multiply( inverse( X ), X ), multiply( inverse( a1 ),
% 0.85/1.22 a1 ) ) ) ] )
% 0.85/1.22 , clause( 243, [ ~( =( multiply( inverse( Y ), Y ), multiply( inverse( X )
% 0.85/1.22 , X ) ) ) ] )
% 0.85/1.22 , substitution( 0, [ :=( X, a1 ), :=( Y, X )] ), permutation( 0, [ ==>( 0,
% 0.85/1.22 0 )] ) ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 eqswap(
% 0.85/1.22 clause( 244, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( X )
% 0.85/1.22 , X ) ) ) ] )
% 0.85/1.22 , clause( 130, [ ~( =( multiply( inverse( X ), X ), multiply( inverse( a1 )
% 0.85/1.22 , a1 ) ) ) ] )
% 0.85/1.22 , 0, substitution( 0, [ :=( X, X )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 eqrefl(
% 0.85/1.22 clause( 245, [] )
% 0.85/1.22 , clause( 244, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( X
% 0.85/1.22 ), X ) ) ) ] )
% 0.85/1.22 , 0, substitution( 0, [ :=( X, a1 )] )).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 subsumption(
% 0.85/1.22 clause( 131, [] )
% 0.85/1.22 , clause( 245, [] )
% 0.85/1.22 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 end.
% 0.85/1.22
% 0.85/1.22 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.85/1.22
% 0.85/1.22 Memory use:
% 0.85/1.22
% 0.85/1.22 space for terms: 3491
% 0.85/1.22 space for clauses: 25892
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 clauses generated: 5113
% 0.85/1.22 clauses kept: 132
% 0.85/1.22 clauses selected: 26
% 0.85/1.22 clauses deleted: 2
% 0.85/1.22 clauses inuse deleted: 0
% 0.85/1.22
% 0.85/1.22 subsentry: 1320
% 0.85/1.22 literals s-matched: 896
% 0.85/1.22 literals matched: 836
% 0.85/1.22 full subsumption: 0
% 0.85/1.22
% 0.85/1.22 checksum: -1530315609
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 Bliksem ended
%------------------------------------------------------------------------------