TSTP Solution File: GRP406-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP406-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 07:36:50 EDT 2022
% Result : Unsatisfiable 0.74s 1.16s
% Output : Refutation 0.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GRP406-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Tue Jun 14 02:00:18 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.74/1.16 *** allocated 10000 integers for termspace/termends
% 0.74/1.16 *** allocated 10000 integers for clauses
% 0.74/1.16 *** allocated 10000 integers for justifications
% 0.74/1.16 Bliksem 1.12
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 Automatic Strategy Selection
% 0.74/1.16
% 0.74/1.16 Clauses:
% 0.74/1.16 [
% 0.74/1.16 [ =( multiply( X, inverse( multiply( inverse( multiply( inverse(
% 0.74/1.16 multiply( X, Y ) ), Z ) ), multiply( inverse( Y ), multiply( inverse( Y )
% 0.74/1.16 , Y ) ) ) ) ), Z ) ],
% 0.74/1.16 [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1 ) ) )
% 0.74/1.16 ]
% 0.74/1.16 ] .
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 percentage equality = 1.000000, percentage horn = 1.000000
% 0.74/1.16 This is a pure equality problem
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 Options Used:
% 0.74/1.16
% 0.74/1.16 useres = 1
% 0.74/1.16 useparamod = 1
% 0.74/1.16 useeqrefl = 1
% 0.74/1.16 useeqfact = 1
% 0.74/1.16 usefactor = 1
% 0.74/1.16 usesimpsplitting = 0
% 0.74/1.16 usesimpdemod = 5
% 0.74/1.16 usesimpres = 3
% 0.74/1.16
% 0.74/1.16 resimpinuse = 1000
% 0.74/1.16 resimpclauses = 20000
% 0.74/1.16 substype = eqrewr
% 0.74/1.16 backwardsubs = 1
% 0.74/1.16 selectoldest = 5
% 0.74/1.16
% 0.74/1.16 litorderings [0] = split
% 0.74/1.16 litorderings [1] = extend the termordering, first sorting on arguments
% 0.74/1.16
% 0.74/1.16 termordering = kbo
% 0.74/1.16
% 0.74/1.16 litapriori = 0
% 0.74/1.16 termapriori = 1
% 0.74/1.16 litaposteriori = 0
% 0.74/1.16 termaposteriori = 0
% 0.74/1.16 demodaposteriori = 0
% 0.74/1.16 ordereqreflfact = 0
% 0.74/1.16
% 0.74/1.16 litselect = negord
% 0.74/1.16
% 0.74/1.16 maxweight = 15
% 0.74/1.16 maxdepth = 30000
% 0.74/1.16 maxlength = 115
% 0.74/1.16 maxnrvars = 195
% 0.74/1.16 excuselevel = 1
% 0.74/1.16 increasemaxweight = 1
% 0.74/1.16
% 0.74/1.16 maxselected = 10000000
% 0.74/1.16 maxnrclauses = 10000000
% 0.74/1.16
% 0.74/1.16 showgenerated = 0
% 0.74/1.16 showkept = 0
% 0.74/1.16 showselected = 0
% 0.74/1.16 showdeleted = 0
% 0.74/1.16 showresimp = 1
% 0.74/1.16 showstatus = 2000
% 0.74/1.16
% 0.74/1.16 prologoutput = 1
% 0.74/1.16 nrgoals = 5000000
% 0.74/1.16 totalproof = 1
% 0.74/1.16
% 0.74/1.16 Symbols occurring in the translation:
% 0.74/1.16
% 0.74/1.16 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.74/1.16 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.74/1.16 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.74/1.16 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.16 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.16 multiply [41, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.74/1.16 inverse [42, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.74/1.16 a1 [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.74/1.16 b1 [45, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 Starting Search:
% 0.74/1.16
% 0.74/1.16 Resimplifying inuse:
% 0.74/1.16 Done
% 0.74/1.16
% 0.74/1.16 Failed to find proof!
% 0.74/1.16 maxweight = 15
% 0.74/1.16 maxnrclauses = 10000000
% 0.74/1.16 Generated: 111
% 0.74/1.16 Kept: 4
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 The strategy used was not complete!
% 0.74/1.16
% 0.74/1.16 Increased maxweight to 16
% 0.74/1.16
% 0.74/1.16 Starting Search:
% 0.74/1.16
% 0.74/1.16 Resimplifying inuse:
% 0.74/1.16 Done
% 0.74/1.16
% 0.74/1.16 Failed to find proof!
% 0.74/1.16 maxweight = 16
% 0.74/1.16 maxnrclauses = 10000000
% 0.74/1.16 Generated: 111
% 0.74/1.16 Kept: 4
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 The strategy used was not complete!
% 0.74/1.16
% 0.74/1.16 Increased maxweight to 17
% 0.74/1.16
% 0.74/1.16 Starting Search:
% 0.74/1.16
% 0.74/1.16 Resimplifying inuse:
% 0.74/1.16 Done
% 0.74/1.16
% 0.74/1.16 Failed to find proof!
% 0.74/1.16 maxweight = 17
% 0.74/1.16 maxnrclauses = 10000000
% 0.74/1.16 Generated: 111
% 0.74/1.16 Kept: 4
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 The strategy used was not complete!
% 0.74/1.16
% 0.74/1.16 Increased maxweight to 18
% 0.74/1.16
% 0.74/1.16 Starting Search:
% 0.74/1.16
% 0.74/1.16 Resimplifying inuse:
% 0.74/1.16 Done
% 0.74/1.16
% 0.74/1.16 Failed to find proof!
% 0.74/1.16 maxweight = 18
% 0.74/1.16 maxnrclauses = 10000000
% 0.74/1.16 Generated: 111
% 0.74/1.16 Kept: 4
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 The strategy used was not complete!
% 0.74/1.16
% 0.74/1.16 Increased maxweight to 19
% 0.74/1.16
% 0.74/1.16 Starting Search:
% 0.74/1.16
% 0.74/1.16 Resimplifying inuse:
% 0.74/1.16 Done
% 0.74/1.16
% 0.74/1.16 Failed to find proof!
% 0.74/1.16 maxweight = 19
% 0.74/1.16 maxnrclauses = 10000000
% 0.74/1.16 Generated: 111
% 0.74/1.16 Kept: 4
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 The strategy used was not complete!
% 0.74/1.16
% 0.74/1.16 Increased maxweight to 20
% 0.74/1.16
% 0.74/1.16 Starting Search:
% 0.74/1.16
% 0.74/1.16 Resimplifying inuse:
% 0.74/1.16 Done
% 0.74/1.16
% 0.74/1.16 Failed to find proof!
% 0.74/1.16 maxweight = 20
% 0.74/1.16 maxnrclauses = 10000000
% 0.74/1.16 Generated: 139
% 0.74/1.16 Kept: 5
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 The strategy used was not complete!
% 0.74/1.16
% 0.74/1.16 Increased maxweight to 21
% 0.74/1.16
% 0.74/1.16 Starting Search:
% 0.74/1.16
% 0.74/1.16 Resimplifying inuse:
% 0.74/1.16 Done
% 0.74/1.16
% 0.74/1.16 Failed to find proof!
% 0.74/1.16 maxweight = 21
% 0.74/1.16 maxnrclauses = 10000000
% 0.74/1.16 Generated: 139
% 0.74/1.16 Kept: 5
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 The strategy used was not complete!
% 0.74/1.16
% 0.74/1.16 Increased maxweight to 22
% 0.74/1.16
% 0.74/1.16 Starting Search:
% 0.74/1.16
% 0.74/1.16 Resimplifying inuse:
% 0.74/1.16 Done
% 0.74/1.16
% 0.74/1.16 Failed to find proof!
% 0.74/1.16 maxweight = 22
% 0.74/1.16 maxnrclauses = 10000000
% 0.74/1.16 Generated: 523
% 0.74/1.16 Kept: 9
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 The strategy used was not complete!
% 0.74/1.16
% 0.74/1.16 Increased maxweight to 23
% 0.74/1.16
% 0.74/1.16 Starting Search:
% 0.74/1.16
% 0.74/1.16 Resimplifying inuse:
% 0.74/1.16 Done
% 0.74/1.16
% 0.74/1.16 Failed to find proof!
% 0.74/1.16 maxweight = 23
% 0.74/1.16 maxnrclauses = 10000000
% 0.74/1.16 Generated: 523
% 0.74/1.16 Kept: 9
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 The strategy used was not complete!
% 0.74/1.16
% 0.74/1.16 Increased maxweight to 24
% 0.74/1.16
% 0.74/1.16 Starting Search:
% 0.74/1.16
% 0.74/1.16 Resimplifying inuse:
% 0.74/1.16 Done
% 0.74/1.16
% 0.74/1.16 Failed to find proof!
% 0.74/1.16 maxweight = 24
% 0.74/1.16 maxnrclauses = 10000000
% 0.74/1.16 Generated: 608
% 0.74/1.16 Kept: 10
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 The strategy used was not complete!
% 0.74/1.16
% 0.74/1.16 Increased maxweight to 25
% 0.74/1.16
% 0.74/1.16 Starting Search:
% 0.74/1.16
% 0.74/1.16 Resimplifying inuse:
% 0.74/1.16 Done
% 0.74/1.16
% 0.74/1.16 Failed to find proof!
% 0.74/1.16 maxweight = 25
% 0.74/1.16 maxnrclauses = 10000000
% 0.74/1.16 Generated: 608
% 0.74/1.16 Kept: 10
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 The strategy used was not complete!
% 0.74/1.16
% 0.74/1.16 Increased maxweight to 26
% 0.74/1.16
% 0.74/1.16 Starting Search:
% 0.74/1.16
% 0.74/1.16 Resimplifying inuse:
% 0.74/1.16 Done
% 0.74/1.16
% 0.74/1.16 Failed to find proof!
% 0.74/1.16 maxweight = 26
% 0.74/1.16 maxnrclauses = 10000000
% 0.74/1.16 Generated: 464
% 0.74/1.16 Kept: 10
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 The strategy used was not complete!
% 0.74/1.16
% 0.74/1.16 Increased maxweight to 27
% 0.74/1.16
% 0.74/1.16 Starting Search:
% 0.74/1.16
% 0.74/1.16 Resimplifying inuse:
% 0.74/1.16 Done
% 0.74/1.16
% 0.74/1.16 Failed to find proof!
% 0.74/1.16 maxweight = 27
% 0.74/1.16 maxnrclauses = 10000000
% 0.74/1.16 Generated: 1666
% 0.74/1.16 Kept: 15
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 The strategy used was not complete!
% 0.74/1.16
% 0.74/1.16 Increased maxweight to 28
% 0.74/1.16
% 0.74/1.16 Starting Search:
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 Bliksems!, er is een bewijs:
% 0.74/1.16 % SZS status Unsatisfiable
% 0.74/1.16 % SZS output start Refutation
% 0.74/1.16
% 0.74/1.16 clause( 0, [ =( multiply( X, inverse( multiply( inverse( multiply( inverse(
% 0.74/1.16 multiply( X, Y ) ), Z ) ), multiply( inverse( Y ), multiply( inverse( Y )
% 0.74/1.16 , Y ) ) ) ) ), Z ) ] )
% 0.74/1.16 .
% 0.74/1.16 clause( 1, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 ),
% 0.74/1.16 a1 ) ) ) ] )
% 0.74/1.16 .
% 0.74/1.16 clause( 2, [ =( multiply( X, inverse( multiply( inverse( T ), multiply(
% 0.74/1.16 inverse( Y ), multiply( inverse( Y ), Y ) ) ) ) ), inverse( multiply(
% 0.74/1.16 inverse( multiply( inverse( multiply( inverse( multiply( X, Y ) ), Z ) )
% 0.74/1.16 , T ) ), multiply( inverse( Z ), multiply( inverse( Z ), Z ) ) ) ) ) ] )
% 0.74/1.16 .
% 0.74/1.16 clause( 4, [ =( inverse( multiply( inverse( multiply( inverse( multiply(
% 0.74/1.16 inverse( multiply( X, Y ) ), T ) ), multiply( inverse( multiply( X, Y ) )
% 0.74/1.16 , Z ) ) ), multiply( inverse( T ), multiply( inverse( T ), T ) ) ) ), Z )
% 0.74/1.16 ] )
% 0.74/1.16 .
% 0.74/1.16 clause( 5, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X, inverse(
% 0.74/1.16 multiply( inverse( T ), multiply( inverse( Y ), multiply( inverse( Y ), Y
% 0.74/1.16 ) ) ) ) ) ), T ) ] )
% 0.74/1.16 .
% 0.74/1.16 clause( 6, [ =( inverse( multiply( inverse( multiply( inverse( multiply( T
% 0.74/1.16 , U ) ), multiply( T, W ) ) ), multiply( inverse( U ), multiply( inverse(
% 0.74/1.16 U ), U ) ) ) ), W ) ] )
% 0.74/1.16 .
% 0.74/1.16 clause( 8, [ =( multiply( inverse( multiply( T, Y ) ), multiply( T, Z ) ),
% 0.74/1.16 multiply( inverse( multiply( X, Y ) ), multiply( X, Z ) ) ) ] )
% 0.74/1.16 .
% 0.74/1.16 clause( 12, [ =( multiply( Z, multiply( inverse( multiply( inverse(
% 0.74/1.16 multiply( X, Y ) ), multiply( X, Z ) ) ), T ) ), multiply( inverse(
% 0.74/1.16 multiply( U, multiply( inverse( Y ), multiply( inverse( Y ), Y ) ) ) ),
% 0.74/1.16 multiply( U, T ) ) ) ] )
% 0.74/1.16 .
% 0.74/1.16 clause( 13, [ =( multiply( inverse( multiply( T, X ) ), multiply( T,
% 0.74/1.16 inverse( multiply( inverse( multiply( Z, Y ) ), multiply( Z, multiply(
% 0.74/1.16 inverse( X ), X ) ) ) ) ) ), multiply( inverse( X ), Y ) ) ] )
% 0.74/1.16 .
% 0.74/1.16 clause( 24, [ =( multiply( inverse( multiply( inverse( multiply( Y, Z ) ),
% 0.74/1.16 multiply( Y, inverse( X ) ) ) ), multiply( inverse( Z ), multiply(
% 0.74/1.16 inverse( Z ), Z ) ) ), X ) ] )
% 0.74/1.16 .
% 0.74/1.16 clause( 25, [ =( multiply( inverse( Z ), Z ), multiply( inverse( multiply(
% 0.74/1.16 T, multiply( inverse( Y ), multiply( inverse( Y ), Y ) ) ) ), multiply( T
% 0.74/1.16 , multiply( inverse( Y ), multiply( inverse( Y ), Y ) ) ) ) ) ] )
% 0.74/1.16 .
% 0.74/1.16 clause( 28, [ =( multiply( inverse( T ), T ), multiply( inverse( Z ), Z ) )
% 0.74/1.16 ] )
% 0.74/1.16 .
% 0.74/1.16 clause( 67, [ ~( =( multiply( inverse( X ), X ), multiply( inverse( a1 ),
% 0.74/1.16 a1 ) ) ) ] )
% 0.74/1.16 .
% 0.74/1.16 clause( 68, [] )
% 0.74/1.16 .
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 % SZS output end Refutation
% 0.74/1.16 found a proof!
% 0.74/1.16
% 0.74/1.16 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.16
% 0.74/1.16 initialclauses(
% 0.74/1.16 [ clause( 70, [ =( multiply( X, inverse( multiply( inverse( multiply(
% 0.74/1.16 inverse( multiply( X, Y ) ), Z ) ), multiply( inverse( Y ), multiply(
% 0.74/1.16 inverse( Y ), Y ) ) ) ) ), Z ) ] )
% 0.74/1.16 , clause( 71, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1
% 0.74/1.16 ), b1 ) ) ) ] )
% 0.74/1.16 ] ).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 subsumption(
% 0.74/1.16 clause( 0, [ =( multiply( X, inverse( multiply( inverse( multiply( inverse(
% 0.74/1.16 multiply( X, Y ) ), Z ) ), multiply( inverse( Y ), multiply( inverse( Y )
% 0.74/1.16 , Y ) ) ) ) ), Z ) ] )
% 0.74/1.16 , clause( 70, [ =( multiply( X, inverse( multiply( inverse( multiply(
% 0.74/1.16 inverse( multiply( X, Y ) ), Z ) ), multiply( inverse( Y ), multiply(
% 0.74/1.16 inverse( Y ), Y ) ) ) ) ), Z ) ] )
% 0.74/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 eqswap(
% 0.74/1.16 clause( 74, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 )
% 0.74/1.16 , a1 ) ) ) ] )
% 0.74/1.16 , clause( 71, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1
% 0.74/1.16 ), b1 ) ) ) ] )
% 0.74/1.16 , 0, substitution( 0, [] )).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 subsumption(
% 0.74/1.16 clause( 1, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 ),
% 0.74/1.16 a1 ) ) ) ] )
% 0.74/1.16 , clause( 74, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1
% 0.74/1.16 ), a1 ) ) ) ] )
% 0.74/1.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 eqswap(
% 0.74/1.16 clause( 75, [ =( Z, multiply( X, inverse( multiply( inverse( multiply(
% 0.74/1.16 inverse( multiply( X, Y ) ), Z ) ), multiply( inverse( Y ), multiply(
% 0.74/1.16 inverse( Y ), Y ) ) ) ) ) ) ] )
% 0.74/1.16 , clause( 0, [ =( multiply( X, inverse( multiply( inverse( multiply(
% 0.74/1.16 inverse( multiply( X, Y ) ), Z ) ), multiply( inverse( Y ), multiply(
% 0.74/1.16 inverse( Y ), Y ) ) ) ) ), Z ) ] )
% 0.74/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 paramod(
% 0.74/1.16 clause( 78, [ =( inverse( multiply( inverse( multiply( inverse( multiply(
% 0.74/1.16 inverse( multiply( X, Y ) ), Z ) ), T ) ), multiply( inverse( Z ),
% 0.74/1.16 multiply( inverse( Z ), Z ) ) ) ), multiply( X, inverse( multiply(
% 0.74/1.16 inverse( T ), multiply( inverse( Y ), multiply( inverse( Y ), Y ) ) ) ) )
% 0.74/1.16 ) ] )
% 0.74/1.16 , clause( 0, [ =( multiply( X, inverse( multiply( inverse( multiply(
% 0.74/1.16 inverse( multiply( X, Y ) ), Z ) ), multiply( inverse( Y ), multiply(
% 0.74/1.16 inverse( Y ), Y ) ) ) ) ), Z ) ] )
% 0.74/1.16 , 0, clause( 75, [ =( Z, multiply( X, inverse( multiply( inverse( multiply(
% 0.74/1.16 inverse( multiply( X, Y ) ), Z ) ), multiply( inverse( Y ), multiply(
% 0.74/1.16 inverse( Y ), Y ) ) ) ) ) ) ] )
% 0.74/1.16 , 0, 25, substitution( 0, [ :=( X, inverse( multiply( X, Y ) ) ), :=( Y, Z
% 0.74/1.16 ), :=( Z, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z,
% 0.74/1.16 inverse( multiply( inverse( multiply( inverse( multiply( inverse(
% 0.74/1.16 multiply( X, Y ) ), Z ) ), T ) ), multiply( inverse( Z ), multiply(
% 0.74/1.16 inverse( Z ), Z ) ) ) ) )] )).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 eqswap(
% 0.74/1.16 clause( 80, [ =( multiply( X, inverse( multiply( inverse( T ), multiply(
% 0.74/1.16 inverse( Y ), multiply( inverse( Y ), Y ) ) ) ) ), inverse( multiply(
% 0.74/1.16 inverse( multiply( inverse( multiply( inverse( multiply( X, Y ) ), Z ) )
% 0.74/1.16 , T ) ), multiply( inverse( Z ), multiply( inverse( Z ), Z ) ) ) ) ) ] )
% 0.74/1.16 , clause( 78, [ =( inverse( multiply( inverse( multiply( inverse( multiply(
% 0.74/1.16 inverse( multiply( X, Y ) ), Z ) ), T ) ), multiply( inverse( Z ),
% 0.74/1.16 multiply( inverse( Z ), Z ) ) ) ), multiply( X, inverse( multiply(
% 0.74/1.16 inverse( T ), multiply( inverse( Y ), multiply( inverse( Y ), Y ) ) ) ) )
% 0.74/1.16 ) ] )
% 0.74/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.74/1.16 ).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 subsumption(
% 0.74/1.16 clause( 2, [ =( multiply( X, inverse( multiply( inverse( T ), multiply(
% 0.74/1.16 inverse( Y ), multiply( inverse( Y ), Y ) ) ) ) ), inverse( multiply(
% 0.74/1.16 inverse( multiply( inverse( multiply( inverse( multiply( X, Y ) ), Z ) )
% 0.74/1.16 , T ) ), multiply( inverse( Z ), multiply( inverse( Z ), Z ) ) ) ) ) ] )
% 0.74/1.16 , clause( 80, [ =( multiply( X, inverse( multiply( inverse( T ), multiply(
% 0.74/1.16 inverse( Y ), multiply( inverse( Y ), Y ) ) ) ) ), inverse( multiply(
% 0.74/1.16 inverse( multiply( inverse( multiply( inverse( multiply( X, Y ) ), Z ) )
% 0.74/1.16 , T ) ), multiply( inverse( Z ), multiply( inverse( Z ), Z ) ) ) ) ) ] )
% 0.74/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.74/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 eqswap(
% 0.74/1.16 clause( 82, [ =( inverse( multiply( inverse( multiply( inverse( multiply(
% 0.74/1.16 inverse( multiply( X, Z ) ), T ) ), Y ) ), multiply( inverse( T ),
% 0.74/1.16 multiply( inverse( T ), T ) ) ) ), multiply( X, inverse( multiply(
% 0.74/1.16 inverse( Y ), multiply( inverse( Z ), multiply( inverse( Z ), Z ) ) ) ) )
% 0.74/1.16 ) ] )
% 0.74/1.16 , clause( 2, [ =( multiply( X, inverse( multiply( inverse( T ), multiply(
% 0.74/1.16 inverse( Y ), multiply( inverse( Y ), Y ) ) ) ) ), inverse( multiply(
% 0.74/1.16 inverse( multiply( inverse( multiply( inverse( multiply( X, Y ) ), Z ) )
% 0.74/1.16 , T ) ), multiply( inverse( Z ), multiply( inverse( Z ), Z ) ) ) ) ) ] )
% 0.74/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 0.74/1.16 ).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 paramod(
% 0.74/1.16 clause( 111, [ =( inverse( multiply( inverse( multiply( inverse( multiply(
% 0.74/1.16 inverse( multiply( X, Y ) ), Z ) ), multiply( inverse( multiply( X, Y ) )
% 0.74/1.16 , T ) ) ), multiply( inverse( Z ), multiply( inverse( Z ), Z ) ) ) ), T )
% 0.74/1.16 ] )
% 0.74/1.16 , clause( 0, [ =( multiply( X, inverse( multiply( inverse( multiply(
% 0.74/1.16 inverse( multiply( X, Y ) ), Z ) ), multiply( inverse( Y ), multiply(
% 0.74/1.16 inverse( Y ), Y ) ) ) ) ), Z ) ] )
% 0.74/1.16 , 0, clause( 82, [ =( inverse( multiply( inverse( multiply( inverse(
% 0.74/1.16 multiply( inverse( multiply( X, Z ) ), T ) ), Y ) ), multiply( inverse( T
% 0.74/1.16 ), multiply( inverse( T ), T ) ) ) ), multiply( X, inverse( multiply(
% 0.74/1.16 inverse( Y ), multiply( inverse( Z ), multiply( inverse( Z ), Z ) ) ) ) )
% 0.74/1.16 ) ] )
% 0.74/1.16 , 0, 25, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T )] ),
% 0.74/1.16 substitution( 1, [ :=( X, X ), :=( Y, multiply( inverse( multiply( X, Y )
% 0.74/1.16 ), T ) ), :=( Z, Y ), :=( T, Z )] )).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 subsumption(
% 0.74/1.16 clause( 4, [ =( inverse( multiply( inverse( multiply( inverse( multiply(
% 0.74/1.16 inverse( multiply( X, Y ) ), T ) ), multiply( inverse( multiply( X, Y ) )
% 0.74/1.16 , Z ) ) ), multiply( inverse( T ), multiply( inverse( T ), T ) ) ) ), Z )
% 0.74/1.16 ] )
% 0.74/1.16 , clause( 111, [ =( inverse( multiply( inverse( multiply( inverse( multiply(
% 0.74/1.16 inverse( multiply( X, Y ) ), Z ) ), multiply( inverse( multiply( X, Y ) )
% 0.74/1.16 , T ) ) ), multiply( inverse( Z ), multiply( inverse( Z ), Z ) ) ) ), T )
% 0.74/1.16 ] )
% 0.74/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] ),
% 0.74/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 eqswap(
% 0.74/1.16 clause( 116, [ =( inverse( multiply( inverse( multiply( inverse( multiply(
% 0.74/1.16 inverse( multiply( X, Z ) ), T ) ), Y ) ), multiply( inverse( T ),
% 0.74/1.16 multiply( inverse( T ), T ) ) ) ), multiply( X, inverse( multiply(
% 0.74/1.16 inverse( Y ), multiply( inverse( Z ), multiply( inverse( Z ), Z ) ) ) ) )
% 0.74/1.16 ) ] )
% 0.74/1.16 , clause( 2, [ =( multiply( X, inverse( multiply( inverse( T ), multiply(
% 0.74/1.16 inverse( Y ), multiply( inverse( Y ), Y ) ) ) ) ), inverse( multiply(
% 0.74/1.16 inverse( multiply( inverse( multiply( inverse( multiply( X, Y ) ), Z ) )
% 0.74/1.16 , T ) ), multiply( inverse( Z ), multiply( inverse( Z ), Z ) ) ) ) ) ] )
% 0.74/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 0.74/1.16 ).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 eqswap(
% 0.74/1.16 clause( 117, [ =( Z, multiply( X, inverse( multiply( inverse( multiply(
% 0.74/1.16 inverse( multiply( X, Y ) ), Z ) ), multiply( inverse( Y ), multiply(
% 0.74/1.16 inverse( Y ), Y ) ) ) ) ) ) ] )
% 0.74/1.16 , clause( 0, [ =( multiply( X, inverse( multiply( inverse( multiply(
% 0.74/1.16 inverse( multiply( X, Y ) ), Z ) ), multiply( inverse( Y ), multiply(
% 0.74/1.16 inverse( Y ), Y ) ) ) ) ), Z ) ] )
% 0.74/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 paramod(
% 0.74/1.16 clause( 118, [ =( X, multiply( inverse( multiply( Y, Z ) ), multiply( Y,
% 0.74/1.16 inverse( multiply( inverse( X ), multiply( inverse( Z ), multiply(
% 0.74/1.16 inverse( Z ), Z ) ) ) ) ) ) ) ] )
% 0.74/1.16 , clause( 116, [ =( inverse( multiply( inverse( multiply( inverse( multiply(
% 0.74/1.16 inverse( multiply( X, Z ) ), T ) ), Y ) ), multiply( inverse( T ),
% 0.74/1.16 multiply( inverse( T ), T ) ) ) ), multiply( X, inverse( multiply(
% 0.74/1.16 inverse( Y ), multiply( inverse( Z ), multiply( inverse( Z ), Z ) ) ) ) )
% 0.74/1.16 ) ] )
% 0.74/1.16 , 0, clause( 117, [ =( Z, multiply( X, inverse( multiply( inverse( multiply(
% 0.74/1.16 inverse( multiply( X, Y ) ), Z ) ), multiply( inverse( Y ), multiply(
% 0.74/1.16 inverse( Y ), Y ) ) ) ) ) ) ] )
% 0.74/1.16 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, T )] )
% 0.74/1.16 , substitution( 1, [ :=( X, inverse( multiply( Y, Z ) ) ), :=( Y, T ),
% 0.74/1.16 :=( Z, X )] )).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 eqswap(
% 0.74/1.16 clause( 124, [ =( multiply( inverse( multiply( Y, Z ) ), multiply( Y,
% 0.74/1.16 inverse( multiply( inverse( X ), multiply( inverse( Z ), multiply(
% 0.74/1.16 inverse( Z ), Z ) ) ) ) ) ), X ) ] )
% 0.74/1.16 , clause( 118, [ =( X, multiply( inverse( multiply( Y, Z ) ), multiply( Y,
% 0.74/1.16 inverse( multiply( inverse( X ), multiply( inverse( Z ), multiply(
% 0.74/1.16 inverse( Z ), Z ) ) ) ) ) ) ) ] )
% 0.74/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 subsumption(
% 0.74/1.16 clause( 5, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X, inverse(
% 0.74/1.16 multiply( inverse( T ), multiply( inverse( Y ), multiply( inverse( Y ), Y
% 0.74/1.16 ) ) ) ) ) ), T ) ] )
% 0.74/1.16 , clause( 124, [ =( multiply( inverse( multiply( Y, Z ) ), multiply( Y,
% 0.74/1.16 inverse( multiply( inverse( X ), multiply( inverse( Z ), multiply(
% 0.74/1.16 inverse( Z ), Z ) ) ) ) ) ), X ) ] )
% 0.74/1.16 , substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y )] ),
% 0.74/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 eqswap(
% 0.74/1.16 clause( 130, [ =( T, inverse( multiply( inverse( multiply( inverse(
% 0.74/1.16 multiply( inverse( multiply( X, Y ) ), Z ) ), multiply( inverse( multiply(
% 0.74/1.16 X, Y ) ), T ) ) ), multiply( inverse( Z ), multiply( inverse( Z ), Z ) )
% 0.74/1.16 ) ) ) ] )
% 0.74/1.16 , clause( 4, [ =( inverse( multiply( inverse( multiply( inverse( multiply(
% 0.74/1.16 inverse( multiply( X, Y ) ), T ) ), multiply( inverse( multiply( X, Y ) )
% 0.74/1.16 , Z ) ) ), multiply( inverse( T ), multiply( inverse( T ), T ) ) ) ), Z )
% 0.74/1.16 ] )
% 0.74/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] )
% 0.74/1.16 ).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 paramod(
% 0.74/1.16 clause( 135, [ =( X, inverse( multiply( inverse( multiply( inverse(
% 0.74/1.16 multiply( inverse( multiply( inverse( multiply( inverse( multiply(
% 0.74/1.16 inverse( multiply( Y, Z ) ), T ) ), multiply( inverse( multiply( Y, Z ) )
% 0.74/1.16 , U ) ) ), multiply( inverse( T ), multiply( inverse( T ), T ) ) ) ), W )
% 0.74/1.16 ), multiply( U, X ) ) ), multiply( inverse( W ), multiply( inverse( W )
% 0.74/1.16 , W ) ) ) ) ) ] )
% 0.74/1.16 , clause( 4, [ =( inverse( multiply( inverse( multiply( inverse( multiply(
% 0.74/1.16 inverse( multiply( X, Y ) ), T ) ), multiply( inverse( multiply( X, Y ) )
% 0.74/1.16 , Z ) ) ), multiply( inverse( T ), multiply( inverse( T ), T ) ) ) ), Z )
% 0.74/1.16 ] )
% 0.74/1.16 , 0, clause( 130, [ =( T, inverse( multiply( inverse( multiply( inverse(
% 0.74/1.16 multiply( inverse( multiply( X, Y ) ), Z ) ), multiply( inverse( multiply(
% 0.74/1.16 X, Y ) ), T ) ) ), multiply( inverse( Z ), multiply( inverse( Z ), Z ) )
% 0.74/1.16 ) ) ) ] )
% 0.74/1.16 , 0, 34, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, U ), :=( T, T )] )
% 0.74/1.16 , substitution( 1, [ :=( X, inverse( multiply( inverse( multiply( inverse(
% 0.74/1.16 multiply( Y, Z ) ), T ) ), multiply( inverse( multiply( Y, Z ) ), U ) ) )
% 0.74/1.16 ), :=( Y, multiply( inverse( T ), multiply( inverse( T ), T ) ) ), :=( Z
% 0.74/1.16 , W ), :=( T, X )] )).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 paramod(
% 0.74/1.16 clause( 139, [ =( X, inverse( multiply( inverse( multiply( inverse(
% 0.74/1.16 multiply( U, W ) ), multiply( U, X ) ) ), multiply( inverse( W ),
% 0.74/1.16 multiply( inverse( W ), W ) ) ) ) ) ] )
% 0.74/1.16 , clause( 4, [ =( inverse( multiply( inverse( multiply( inverse( multiply(
% 0.74/1.16 inverse( multiply( X, Y ) ), T ) ), multiply( inverse( multiply( X, Y ) )
% 0.74/1.16 , Z ) ) ), multiply( inverse( T ), multiply( inverse( T ), T ) ) ) ), Z )
% 0.74/1.16 ] )
% 0.74/1.16 , 0, clause( 135, [ =( X, inverse( multiply( inverse( multiply( inverse(
% 0.74/1.16 multiply( inverse( multiply( inverse( multiply( inverse( multiply(
% 0.74/1.16 inverse( multiply( Y, Z ) ), T ) ), multiply( inverse( multiply( Y, Z ) )
% 0.74/1.16 , U ) ) ), multiply( inverse( T ), multiply( inverse( T ), T ) ) ) ), W )
% 0.74/1.16 ), multiply( U, X ) ) ), multiply( inverse( W ), multiply( inverse( W )
% 0.74/1.16 , W ) ) ) ) ) ] )
% 0.74/1.16 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, U ), :=( T, T )] )
% 0.74/1.16 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=(
% 0.74/1.16 U, U ), :=( W, W )] )).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 eqswap(
% 0.74/1.16 clause( 142, [ =( inverse( multiply( inverse( multiply( inverse( multiply(
% 0.74/1.16 Y, Z ) ), multiply( Y, X ) ) ), multiply( inverse( Z ), multiply( inverse(
% 0.74/1.16 Z ), Z ) ) ) ), X ) ] )
% 0.74/1.16 , clause( 139, [ =( X, inverse( multiply( inverse( multiply( inverse(
% 0.74/1.16 multiply( U, W ) ), multiply( U, X ) ) ), multiply( inverse( W ),
% 0.74/1.16 multiply( inverse( W ), W ) ) ) ) ) ] )
% 0.74/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, U ), :=( T, W ),
% 0.74/1.16 :=( U, Y ), :=( W, Z )] )).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 subsumption(
% 0.74/1.16 clause( 6, [ =( inverse( multiply( inverse( multiply( inverse( multiply( T
% 0.74/1.16 , U ) ), multiply( T, W ) ) ), multiply( inverse( U ), multiply( inverse(
% 0.74/1.16 U ), U ) ) ) ), W ) ] )
% 0.74/1.16 , clause( 142, [ =( inverse( multiply( inverse( multiply( inverse( multiply(
% 0.74/1.16 Y, Z ) ), multiply( Y, X ) ) ), multiply( inverse( Z ), multiply( inverse(
% 0.74/1.16 Z ), Z ) ) ) ), X ) ] )
% 0.74/1.16 , substitution( 0, [ :=( X, W ), :=( Y, T ), :=( Z, U )] ),
% 0.74/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 eqswap(
% 0.74/1.16 clause( 148, [ =( Z, multiply( inverse( multiply( X, Y ) ), multiply( X,
% 0.74/1.16 inverse( multiply( inverse( Z ), multiply( inverse( Y ), multiply(
% 0.74/1.16 inverse( Y ), Y ) ) ) ) ) ) ) ] )
% 0.74/1.16 , clause( 5, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X,
% 0.74/1.16 inverse( multiply( inverse( T ), multiply( inverse( Y ), multiply(
% 0.74/1.16 inverse( Y ), Y ) ) ) ) ) ), T ) ] )
% 0.74/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] )
% 0.74/1.16 ).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 paramod(
% 0.74/1.16 clause( 155, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X, Z ) )
% 0.74/1.16 , multiply( inverse( multiply( T, Y ) ), multiply( T, Z ) ) ) ] )
% 0.74/1.16 , clause( 6, [ =( inverse( multiply( inverse( multiply( inverse( multiply(
% 0.74/1.16 T, U ) ), multiply( T, W ) ) ), multiply( inverse( U ), multiply( inverse(
% 0.74/1.16 U ), U ) ) ) ), W ) ] )
% 0.74/1.16 , 0, clause( 148, [ =( Z, multiply( inverse( multiply( X, Y ) ), multiply(
% 0.74/1.16 X, inverse( multiply( inverse( Z ), multiply( inverse( Y ), multiply(
% 0.74/1.16 inverse( Y ), Y ) ) ) ) ) ) ) ] )
% 0.74/1.16 , 0, 16, substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, V0 ), :=( T, X )
% 0.74/1.16 , :=( U, Y ), :=( W, Z )] ), substitution( 1, [ :=( X, T ), :=( Y, Y ),
% 0.74/1.16 :=( Z, multiply( inverse( multiply( X, Y ) ), multiply( X, Z ) ) )] )
% 0.74/1.16 ).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 subsumption(
% 0.74/1.16 clause( 8, [ =( multiply( inverse( multiply( T, Y ) ), multiply( T, Z ) ),
% 0.74/1.16 multiply( inverse( multiply( X, Y ) ), multiply( X, Z ) ) ) ] )
% 0.74/1.16 , clause( 155, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X, Z )
% 0.74/1.16 ), multiply( inverse( multiply( T, Y ) ), multiply( T, Z ) ) ) ] )
% 0.74/1.16 , substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] ),
% 0.74/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 paramod(
% 0.74/1.16 clause( 175, [ =( multiply( Z, multiply( inverse( multiply( inverse(
% 0.74/1.16 multiply( X, Y ) ), multiply( X, Z ) ) ), T ) ), multiply( inverse(
% 0.74/1.16 multiply( U, multiply( inverse( Y ), multiply( inverse( Y ), Y ) ) ) ),
% 0.74/1.16 multiply( U, T ) ) ) ] )
% 0.74/1.16 , clause( 6, [ =( inverse( multiply( inverse( multiply( inverse( multiply(
% 0.74/1.16 T, U ) ), multiply( T, W ) ) ), multiply( inverse( U ), multiply( inverse(
% 0.74/1.16 U ), U ) ) ) ), W ) ] )
% 0.74/1.16 , 0, clause( 8, [ =( multiply( inverse( multiply( T, Y ) ), multiply( T, Z
% 0.74/1.16 ) ), multiply( inverse( multiply( X, Y ) ), multiply( X, Z ) ) ) ] )
% 0.74/1.16 , 0, 2, substitution( 0, [ :=( X, W ), :=( Y, V0 ), :=( Z, V1 ), :=( T, X )
% 0.74/1.16 , :=( U, Y ), :=( W, Z )] ), substitution( 1, [ :=( X, U ), :=( Y,
% 0.74/1.16 multiply( inverse( Y ), multiply( inverse( Y ), Y ) ) ), :=( Z, T ), :=(
% 0.74/1.16 T, inverse( multiply( inverse( multiply( X, Y ) ), multiply( X, Z ) ) ) )] )
% 0.74/1.16 ).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 subsumption(
% 0.74/1.16 clause( 12, [ =( multiply( Z, multiply( inverse( multiply( inverse(
% 0.74/1.16 multiply( X, Y ) ), multiply( X, Z ) ) ), T ) ), multiply( inverse(
% 0.74/1.16 multiply( U, multiply( inverse( Y ), multiply( inverse( Y ), Y ) ) ) ),
% 0.74/1.16 multiply( U, T ) ) ) ] )
% 0.74/1.16 , clause( 175, [ =( multiply( Z, multiply( inverse( multiply( inverse(
% 0.74/1.16 multiply( X, Y ) ), multiply( X, Z ) ) ), T ) ), multiply( inverse(
% 0.74/1.16 multiply( U, multiply( inverse( Y ), multiply( inverse( Y ), Y ) ) ) ),
% 0.74/1.16 multiply( U, T ) ) ) ] )
% 0.74/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.74/1.16 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 eqswap(
% 0.74/1.16 clause( 177, [ =( Z, multiply( inverse( multiply( X, Y ) ), multiply( X,
% 0.74/1.16 inverse( multiply( inverse( Z ), multiply( inverse( Y ), multiply(
% 0.74/1.16 inverse( Y ), Y ) ) ) ) ) ) ) ] )
% 0.74/1.16 , clause( 5, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X,
% 0.74/1.16 inverse( multiply( inverse( T ), multiply( inverse( Y ), multiply(
% 0.74/1.16 inverse( Y ), Y ) ) ) ) ) ), T ) ] )
% 0.74/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] )
% 0.74/1.16 ).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 paramod(
% 0.74/1.16 clause( 180, [ =( multiply( inverse( X ), Y ), multiply( inverse( multiply(
% 0.74/1.16 Z, X ) ), multiply( Z, inverse( multiply( inverse( multiply( T, Y ) ),
% 0.74/1.16 multiply( T, multiply( inverse( X ), X ) ) ) ) ) ) ) ] )
% 0.74/1.16 , clause( 8, [ =( multiply( inverse( multiply( T, Y ) ), multiply( T, Z ) )
% 0.74/1.16 , multiply( inverse( multiply( X, Y ) ), multiply( X, Z ) ) ) ] )
% 0.74/1.16 , 0, clause( 177, [ =( Z, multiply( inverse( multiply( X, Y ) ), multiply(
% 0.74/1.16 X, inverse( multiply( inverse( Z ), multiply( inverse( Y ), multiply(
% 0.74/1.16 inverse( Y ), Y ) ) ) ) ) ) ) ] )
% 0.74/1.16 , 0, 13, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, multiply(
% 0.74/1.16 inverse( X ), X ) ), :=( T, inverse( X ) )] ), substitution( 1, [ :=( X,
% 0.74/1.16 Z ), :=( Y, X ), :=( Z, multiply( inverse( X ), Y ) )] )).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 eqswap(
% 0.74/1.16 clause( 185, [ =( multiply( inverse( multiply( Z, X ) ), multiply( Z,
% 0.74/1.16 inverse( multiply( inverse( multiply( T, Y ) ), multiply( T, multiply(
% 0.74/1.16 inverse( X ), X ) ) ) ) ) ), multiply( inverse( X ), Y ) ) ] )
% 0.74/1.16 , clause( 180, [ =( multiply( inverse( X ), Y ), multiply( inverse(
% 0.74/1.16 multiply( Z, X ) ), multiply( Z, inverse( multiply( inverse( multiply( T
% 0.74/1.16 , Y ) ), multiply( T, multiply( inverse( X ), X ) ) ) ) ) ) ) ] )
% 0.74/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.74/1.16 ).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 subsumption(
% 0.74/1.16 clause( 13, [ =( multiply( inverse( multiply( T, X ) ), multiply( T,
% 0.74/1.16 inverse( multiply( inverse( multiply( Z, Y ) ), multiply( Z, multiply(
% 0.74/1.16 inverse( X ), X ) ) ) ) ) ), multiply( inverse( X ), Y ) ) ] )
% 0.74/1.16 , clause( 185, [ =( multiply( inverse( multiply( Z, X ) ), multiply( Z,
% 0.74/1.16 inverse( multiply( inverse( multiply( T, Y ) ), multiply( T, multiply(
% 0.74/1.16 inverse( X ), X ) ) ) ) ) ), multiply( inverse( X ), Y ) ) ] )
% 0.74/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] ),
% 0.74/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 eqswap(
% 0.74/1.16 clause( 188, [ =( Z, multiply( inverse( multiply( X, Y ) ), multiply( X,
% 0.74/1.16 inverse( multiply( inverse( Z ), multiply( inverse( Y ), multiply(
% 0.74/1.16 inverse( Y ), Y ) ) ) ) ) ) ) ] )
% 0.74/1.16 , clause( 5, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X,
% 0.74/1.16 inverse( multiply( inverse( T ), multiply( inverse( Y ), multiply(
% 0.74/1.16 inverse( Y ), Y ) ) ) ) ) ), T ) ] )
% 0.74/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] )
% 0.74/1.16 ).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 paramod(
% 0.74/1.16 clause( 205, [ =( X, multiply( inverse( multiply( Y, multiply( inverse(
% 0.74/1.16 multiply( Z, T ) ), multiply( Z, inverse( X ) ) ) ) ), multiply( Y,
% 0.74/1.16 inverse( multiply( inverse( multiply( U, multiply( inverse( T ), multiply(
% 0.74/1.16 inverse( T ), T ) ) ) ), multiply( U, multiply( inverse( multiply(
% 0.74/1.16 inverse( multiply( Z, T ) ), multiply( Z, inverse( X ) ) ) ), multiply(
% 0.74/1.16 inverse( multiply( Z, T ) ), multiply( Z, inverse( X ) ) ) ) ) ) ) ) ) )
% 0.74/1.16 ] )
% 0.74/1.16 , clause( 12, [ =( multiply( Z, multiply( inverse( multiply( inverse(
% 0.74/1.16 multiply( X, Y ) ), multiply( X, Z ) ) ), T ) ), multiply( inverse(
% 0.74/1.16 multiply( U, multiply( inverse( Y ), multiply( inverse( Y ), Y ) ) ) ),
% 0.74/1.16 multiply( U, T ) ) ) ] )
% 0.74/1.16 , 0, clause( 188, [ =( Z, multiply( inverse( multiply( X, Y ) ), multiply(
% 0.74/1.16 X, inverse( multiply( inverse( Z ), multiply( inverse( Y ), multiply(
% 0.74/1.16 inverse( Y ), Y ) ) ) ) ) ) ) ] )
% 0.74/1.16 , 0, 18, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, inverse( X ) ),
% 0.74/1.16 :=( T, multiply( inverse( multiply( inverse( multiply( Z, T ) ), multiply(
% 0.74/1.16 Z, inverse( X ) ) ) ), multiply( inverse( multiply( Z, T ) ), multiply( Z
% 0.74/1.16 , inverse( X ) ) ) ) ), :=( U, U )] ), substitution( 1, [ :=( X, Y ),
% 0.74/1.16 :=( Y, multiply( inverse( multiply( Z, T ) ), multiply( Z, inverse( X ) )
% 0.74/1.16 ) ), :=( Z, X )] )).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 paramod(
% 0.74/1.16 clause( 206, [ =( X, multiply( inverse( multiply( inverse( multiply( Z, T )
% 0.74/1.16 ), multiply( Z, inverse( X ) ) ) ), multiply( inverse( T ), multiply(
% 0.74/1.16 inverse( T ), T ) ) ) ) ] )
% 0.74/1.16 , clause( 13, [ =( multiply( inverse( multiply( T, X ) ), multiply( T,
% 0.74/1.16 inverse( multiply( inverse( multiply( Z, Y ) ), multiply( Z, multiply(
% 0.74/1.16 inverse( X ), X ) ) ) ) ) ), multiply( inverse( X ), Y ) ) ] )
% 0.74/1.16 , 0, clause( 205, [ =( X, multiply( inverse( multiply( Y, multiply( inverse(
% 0.74/1.16 multiply( Z, T ) ), multiply( Z, inverse( X ) ) ) ) ), multiply( Y,
% 0.74/1.16 inverse( multiply( inverse( multiply( U, multiply( inverse( T ), multiply(
% 0.74/1.16 inverse( T ), T ) ) ) ), multiply( U, multiply( inverse( multiply(
% 0.74/1.16 inverse( multiply( Z, T ) ), multiply( Z, inverse( X ) ) ) ), multiply(
% 0.74/1.16 inverse( multiply( Z, T ) ), multiply( Z, inverse( X ) ) ) ) ) ) ) ) ) )
% 0.74/1.16 ] )
% 0.74/1.16 , 0, 2, substitution( 0, [ :=( X, multiply( inverse( multiply( Z, T ) ),
% 0.74/1.16 multiply( Z, inverse( X ) ) ) ), :=( Y, multiply( inverse( T ), multiply(
% 0.74/1.16 inverse( T ), T ) ) ), :=( Z, U ), :=( T, Y )] ), substitution( 1, [ :=(
% 0.74/1.16 X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U, U )] )).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 eqswap(
% 0.74/1.16 clause( 207, [ =( multiply( inverse( multiply( inverse( multiply( Y, Z ) )
% 0.74/1.16 , multiply( Y, inverse( X ) ) ) ), multiply( inverse( Z ), multiply(
% 0.74/1.16 inverse( Z ), Z ) ) ), X ) ] )
% 0.74/1.16 , clause( 206, [ =( X, multiply( inverse( multiply( inverse( multiply( Z, T
% 0.74/1.16 ) ), multiply( Z, inverse( X ) ) ) ), multiply( inverse( T ), multiply(
% 0.74/1.16 inverse( T ), T ) ) ) ) ] )
% 0.74/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Y ), :=( T, Z )] )
% 0.74/1.16 ).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 subsumption(
% 0.74/1.16 clause( 24, [ =( multiply( inverse( multiply( inverse( multiply( Y, Z ) ),
% 0.74/1.16 multiply( Y, inverse( X ) ) ) ), multiply( inverse( Z ), multiply(
% 0.74/1.16 inverse( Z ), Z ) ) ), X ) ] )
% 0.74/1.16 , clause( 207, [ =( multiply( inverse( multiply( inverse( multiply( Y, Z )
% 0.74/1.16 ), multiply( Y, inverse( X ) ) ) ), multiply( inverse( Z ), multiply(
% 0.74/1.16 inverse( Z ), Z ) ) ), X ) ] )
% 0.74/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 eqswap(
% 0.74/1.16 clause( 209, [ =( multiply( inverse( multiply( U, multiply( inverse( Z ),
% 0.74/1.16 multiply( inverse( Z ), Z ) ) ) ), multiply( U, T ) ), multiply( X,
% 0.74/1.16 multiply( inverse( multiply( inverse( multiply( Y, Z ) ), multiply( Y, X
% 0.74/1.16 ) ) ), T ) ) ) ] )
% 0.74/1.16 , clause( 12, [ =( multiply( Z, multiply( inverse( multiply( inverse(
% 0.74/1.16 multiply( X, Y ) ), multiply( X, Z ) ) ), T ) ), multiply( inverse(
% 0.74/1.16 multiply( U, multiply( inverse( Y ), multiply( inverse( Y ), Y ) ) ) ),
% 0.74/1.16 multiply( U, T ) ) ) ] )
% 0.74/1.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, T ),
% 0.74/1.16 :=( U, U )] )).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 paramod(
% 0.74/1.16 clause( 220, [ =( multiply( inverse( multiply( X, multiply( inverse( Y ),
% 0.74/1.16 multiply( inverse( Y ), Y ) ) ) ), multiply( X, multiply( inverse( Y ),
% 0.74/1.16 multiply( inverse( Y ), Y ) ) ) ), multiply( inverse( Z ), Z ) ) ] )
% 0.74/1.16 , clause( 24, [ =( multiply( inverse( multiply( inverse( multiply( Y, Z ) )
% 0.74/1.16 , multiply( Y, inverse( X ) ) ) ), multiply( inverse( Z ), multiply(
% 0.74/1.16 inverse( Z ), Z ) ) ), X ) ] )
% 0.74/1.16 , 0, clause( 209, [ =( multiply( inverse( multiply( U, multiply( inverse( Z
% 0.74/1.16 ), multiply( inverse( Z ), Z ) ) ) ), multiply( U, T ) ), multiply( X,
% 0.74/1.16 multiply( inverse( multiply( inverse( multiply( Y, Z ) ), multiply( Y, X
% 0.74/1.16 ) ) ), T ) ) ) ] )
% 0.74/1.16 , 0, 24, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, Y )] ),
% 0.74/1.16 substitution( 1, [ :=( X, inverse( Z ) ), :=( Y, T ), :=( Z, Y ), :=( T,
% 0.74/1.16 multiply( inverse( Y ), multiply( inverse( Y ), Y ) ) ), :=( U, X )] )
% 0.74/1.16 ).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 eqswap(
% 0.74/1.16 clause( 225, [ =( multiply( inverse( Z ), Z ), multiply( inverse( multiply(
% 0.74/1.16 X, multiply( inverse( Y ), multiply( inverse( Y ), Y ) ) ) ), multiply( X
% 0.74/1.16 , multiply( inverse( Y ), multiply( inverse( Y ), Y ) ) ) ) ) ] )
% 0.74/1.16 , clause( 220, [ =( multiply( inverse( multiply( X, multiply( inverse( Y )
% 0.74/1.16 , multiply( inverse( Y ), Y ) ) ) ), multiply( X, multiply( inverse( Y )
% 0.74/1.16 , multiply( inverse( Y ), Y ) ) ) ), multiply( inverse( Z ), Z ) ) ] )
% 0.74/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 subsumption(
% 0.74/1.16 clause( 25, [ =( multiply( inverse( Z ), Z ), multiply( inverse( multiply(
% 0.74/1.16 T, multiply( inverse( Y ), multiply( inverse( Y ), Y ) ) ) ), multiply( T
% 0.74/1.16 , multiply( inverse( Y ), multiply( inverse( Y ), Y ) ) ) ) ) ] )
% 0.74/1.16 , clause( 225, [ =( multiply( inverse( Z ), Z ), multiply( inverse(
% 0.74/1.16 multiply( X, multiply( inverse( Y ), multiply( inverse( Y ), Y ) ) ) ),
% 0.74/1.16 multiply( X, multiply( inverse( Y ), multiply( inverse( Y ), Y ) ) ) ) )
% 0.74/1.16 ] )
% 0.74/1.16 , substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 eqswap(
% 0.74/1.16 clause( 228, [ =( multiply( inverse( multiply( Y, multiply( inverse( Z ),
% 0.74/1.16 multiply( inverse( Z ), Z ) ) ) ), multiply( Y, multiply( inverse( Z ),
% 0.74/1.16 multiply( inverse( Z ), Z ) ) ) ), multiply( inverse( X ), X ) ) ] )
% 0.74/1.16 , clause( 25, [ =( multiply( inverse( Z ), Z ), multiply( inverse( multiply(
% 0.74/1.16 T, multiply( inverse( Y ), multiply( inverse( Y ), Y ) ) ) ), multiply( T
% 0.74/1.16 , multiply( inverse( Y ), multiply( inverse( Y ), Y ) ) ) ) ) ] )
% 0.74/1.16 , 0, substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, X ), :=( T, Y )] )
% 0.74/1.16 ).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 eqswap(
% 0.74/1.16 clause( 229, [ =( multiply( inverse( multiply( Y, multiply( inverse( Z ),
% 0.74/1.16 multiply( inverse( Z ), Z ) ) ) ), multiply( Y, multiply( inverse( Z ),
% 0.74/1.16 multiply( inverse( Z ), Z ) ) ) ), multiply( inverse( X ), X ) ) ] )
% 0.74/1.16 , clause( 25, [ =( multiply( inverse( Z ), Z ), multiply( inverse( multiply(
% 0.74/1.16 T, multiply( inverse( Y ), multiply( inverse( Y ), Y ) ) ) ), multiply( T
% 0.74/1.16 , multiply( inverse( Y ), multiply( inverse( Y ), Y ) ) ) ) ) ] )
% 0.74/1.16 , 0, substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, X ), :=( T, Y )] )
% 0.74/1.16 ).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 paramod(
% 0.74/1.16 clause( 230, [ =( multiply( inverse( T ), T ), multiply( inverse( Z ), Z )
% 0.74/1.16 ) ] )
% 0.74/1.16 , clause( 228, [ =( multiply( inverse( multiply( Y, multiply( inverse( Z )
% 0.74/1.16 , multiply( inverse( Z ), Z ) ) ) ), multiply( Y, multiply( inverse( Z )
% 0.74/1.16 , multiply( inverse( Z ), Z ) ) ) ), multiply( inverse( X ), X ) ) ] )
% 0.74/1.16 , 0, clause( 229, [ =( multiply( inverse( multiply( Y, multiply( inverse( Z
% 0.74/1.16 ), multiply( inverse( Z ), Z ) ) ) ), multiply( Y, multiply( inverse( Z
% 0.74/1.16 ), multiply( inverse( Z ), Z ) ) ) ), multiply( inverse( X ), X ) ) ] )
% 0.74/1.16 , 0, 1, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y )] ),
% 0.74/1.16 substitution( 1, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 subsumption(
% 0.74/1.16 clause( 28, [ =( multiply( inverse( T ), T ), multiply( inverse( Z ), Z ) )
% 0.74/1.16 ] )
% 0.74/1.16 , clause( 230, [ =( multiply( inverse( T ), T ), multiply( inverse( Z ), Z
% 0.74/1.16 ) ) ] )
% 0.74/1.16 , substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, Z ), :=( T, T )] ),
% 0.74/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 eqswap(
% 0.74/1.16 clause( 236, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 )
% 0.74/1.16 , b1 ) ) ) ] )
% 0.74/1.16 , clause( 1, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 )
% 0.74/1.16 , a1 ) ) ) ] )
% 0.74/1.16 , 0, substitution( 0, [] )).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 paramod(
% 0.74/1.16 clause( 238, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( X )
% 0.74/1.16 , X ) ) ) ] )
% 0.74/1.16 , clause( 28, [ =( multiply( inverse( T ), T ), multiply( inverse( Z ), Z )
% 0.74/1.16 ) ] )
% 0.74/1.16 , 0, clause( 236, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse(
% 0.74/1.16 b1 ), b1 ) ) ) ] )
% 0.74/1.16 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, b1 )] )
% 0.74/1.16 , substitution( 1, [] )).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 paramod(
% 0.74/1.16 clause( 239, [ ~( =( multiply( inverse( Y ), Y ), multiply( inverse( X ), X
% 0.74/1.16 ) ) ) ] )
% 0.74/1.16 , clause( 28, [ =( multiply( inverse( T ), T ), multiply( inverse( Z ), Z )
% 0.74/1.16 ) ] )
% 0.74/1.16 , 0, clause( 238, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse(
% 0.74/1.16 X ), X ) ) ) ] )
% 0.74/1.16 , 0, 2, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, Y ), :=( T, a1 )] )
% 0.74/1.16 , substitution( 1, [ :=( X, X )] )).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 subsumption(
% 0.74/1.16 clause( 67, [ ~( =( multiply( inverse( X ), X ), multiply( inverse( a1 ),
% 0.74/1.16 a1 ) ) ) ] )
% 0.74/1.16 , clause( 239, [ ~( =( multiply( inverse( Y ), Y ), multiply( inverse( X )
% 0.74/1.16 , X ) ) ) ] )
% 0.74/1.16 , substitution( 0, [ :=( X, a1 ), :=( Y, X )] ), permutation( 0, [ ==>( 0,
% 0.74/1.16 0 )] ) ).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 eqswap(
% 0.74/1.16 clause( 240, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( X )
% 0.74/1.16 , X ) ) ) ] )
% 0.74/1.16 , clause( 67, [ ~( =( multiply( inverse( X ), X ), multiply( inverse( a1 )
% 0.74/1.16 , a1 ) ) ) ] )
% 0.74/1.16 , 0, substitution( 0, [ :=( X, X )] )).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 eqrefl(
% 0.74/1.16 clause( 241, [] )
% 0.74/1.16 , clause( 240, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( X
% 0.74/1.16 ), X ) ) ) ] )
% 0.74/1.16 , 0, substitution( 0, [ :=( X, a1 )] )).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 subsumption(
% 0.74/1.16 clause( 68, [] )
% 0.74/1.16 , clause( 241, [] )
% 0.74/1.16 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 end.
% 0.74/1.16
% 0.74/1.16 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.16
% 0.74/1.16 Memory use:
% 0.74/1.16
% 0.74/1.16 space for terms: 1717
% 0.74/1.16 space for clauses: 13769
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 clauses generated: 2964
% 0.74/1.16 clauses kept: 69
% 0.74/1.16 clauses selected: 19
% 0.74/1.16 clauses deleted: 1
% 0.74/1.16 clauses inuse deleted: 0
% 0.74/1.16
% 0.74/1.16 subsentry: 1276
% 0.74/1.16 literals s-matched: 472
% 0.74/1.16 literals matched: 421
% 0.74/1.16 full subsumption: 0
% 0.74/1.16
% 0.74/1.16 checksum: -37697071
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 Bliksem ended
%------------------------------------------------------------------------------