TSTP Solution File: GRP403-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP403-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n012.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 07:36:49 EDT 2022
% Result : Unsatisfiable 0.77s 1.20s
% Output : Refutation 0.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP403-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Tue Jun 14 11:04:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.77/1.19 *** allocated 10000 integers for termspace/termends
% 0.77/1.19 *** allocated 10000 integers for clauses
% 0.77/1.19 *** allocated 10000 integers for justifications
% 0.77/1.19 Bliksem 1.12
% 0.77/1.19
% 0.77/1.19
% 0.77/1.19 Automatic Strategy Selection
% 0.77/1.19
% 0.77/1.19 Clauses:
% 0.77/1.19 [
% 0.77/1.19 [ =( multiply( X, inverse( multiply( inverse( multiply( inverse(
% 0.77/1.19 multiply( X, Y ) ), Z ) ), inverse( multiply( Y, multiply( inverse( Y ),
% 0.77/1.19 Y ) ) ) ) ) ), Z ) ],
% 0.77/1.19 [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1 ) ) )
% 0.77/1.19 ]
% 0.77/1.19 ] .
% 0.77/1.19
% 0.77/1.19
% 0.77/1.19 percentage equality = 1.000000, percentage horn = 1.000000
% 0.77/1.19 This is a pure equality problem
% 0.77/1.19
% 0.77/1.19
% 0.77/1.19
% 0.77/1.19 Options Used:
% 0.77/1.19
% 0.77/1.19 useres = 1
% 0.77/1.19 useparamod = 1
% 0.77/1.19 useeqrefl = 1
% 0.77/1.19 useeqfact = 1
% 0.77/1.19 usefactor = 1
% 0.77/1.19 usesimpsplitting = 0
% 0.77/1.19 usesimpdemod = 5
% 0.77/1.19 usesimpres = 3
% 0.77/1.19
% 0.77/1.19 resimpinuse = 1000
% 0.77/1.19 resimpclauses = 20000
% 0.77/1.19 substype = eqrewr
% 0.77/1.19 backwardsubs = 1
% 0.77/1.19 selectoldest = 5
% 0.77/1.19
% 0.77/1.19 litorderings [0] = split
% 0.77/1.19 litorderings [1] = extend the termordering, first sorting on arguments
% 0.77/1.19
% 0.77/1.19 termordering = kbo
% 0.77/1.19
% 0.77/1.19 litapriori = 0
% 0.77/1.19 termapriori = 1
% 0.77/1.19 litaposteriori = 0
% 0.77/1.19 termaposteriori = 0
% 0.77/1.19 demodaposteriori = 0
% 0.77/1.19 ordereqreflfact = 0
% 0.77/1.19
% 0.77/1.19 litselect = negord
% 0.77/1.19
% 0.77/1.19 maxweight = 15
% 0.77/1.19 maxdepth = 30000
% 0.77/1.19 maxlength = 115
% 0.77/1.19 maxnrvars = 195
% 0.77/1.19 excuselevel = 1
% 0.77/1.19 increasemaxweight = 1
% 0.77/1.19
% 0.77/1.19 maxselected = 10000000
% 0.77/1.19 maxnrclauses = 10000000
% 0.77/1.19
% 0.77/1.19 showgenerated = 0
% 0.77/1.19 showkept = 0
% 0.77/1.19 showselected = 0
% 0.77/1.19 showdeleted = 0
% 0.77/1.19 showresimp = 1
% 0.77/1.19 showstatus = 2000
% 0.77/1.19
% 0.77/1.19 prologoutput = 1
% 0.77/1.19 nrgoals = 5000000
% 0.77/1.19 totalproof = 1
% 0.77/1.19
% 0.77/1.19 Symbols occurring in the translation:
% 0.77/1.19
% 0.77/1.19 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.77/1.19 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.77/1.19 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.77/1.19 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.77/1.19 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.77/1.19 multiply [41, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.77/1.19 inverse [42, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.77/1.19 a1 [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.77/1.19 b1 [45, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.77/1.19
% 0.77/1.19
% 0.77/1.19 Starting Search:
% 0.77/1.19
% 0.77/1.19 Resimplifying inuse:
% 0.77/1.19 Done
% 0.77/1.20
% 0.77/1.20 Failed to find proof!
% 0.77/1.20 maxweight = 15
% 0.77/1.20 maxnrclauses = 10000000
% 0.77/1.20 Generated: 103
% 0.77/1.20 Kept: 4
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 The strategy used was not complete!
% 0.77/1.20
% 0.77/1.20 Increased maxweight to 16
% 0.77/1.20
% 0.77/1.20 Starting Search:
% 0.77/1.20
% 0.77/1.20 Resimplifying inuse:
% 0.77/1.20 Done
% 0.77/1.20
% 0.77/1.20 Failed to find proof!
% 0.77/1.20 maxweight = 16
% 0.77/1.20 maxnrclauses = 10000000
% 0.77/1.20 Generated: 103
% 0.77/1.20 Kept: 4
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 The strategy used was not complete!
% 0.77/1.20
% 0.77/1.20 Increased maxweight to 17
% 0.77/1.20
% 0.77/1.20 Starting Search:
% 0.77/1.20
% 0.77/1.20 Resimplifying inuse:
% 0.77/1.20 Done
% 0.77/1.20
% 0.77/1.20 Failed to find proof!
% 0.77/1.20 maxweight = 17
% 0.77/1.20 maxnrclauses = 10000000
% 0.77/1.20 Generated: 103
% 0.77/1.20 Kept: 4
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 The strategy used was not complete!
% 0.77/1.20
% 0.77/1.20 Increased maxweight to 18
% 0.77/1.20
% 0.77/1.20 Starting Search:
% 0.77/1.20
% 0.77/1.20 Resimplifying inuse:
% 0.77/1.20 Done
% 0.77/1.20
% 0.77/1.20 Failed to find proof!
% 0.77/1.20 maxweight = 18
% 0.77/1.20 maxnrclauses = 10000000
% 0.77/1.20 Generated: 103
% 0.77/1.20 Kept: 4
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 The strategy used was not complete!
% 0.77/1.20
% 0.77/1.20 Increased maxweight to 19
% 0.77/1.20
% 0.77/1.20 Starting Search:
% 0.77/1.20
% 0.77/1.20 Resimplifying inuse:
% 0.77/1.20 Done
% 0.77/1.20
% 0.77/1.20 Failed to find proof!
% 0.77/1.20 maxweight = 19
% 0.77/1.20 maxnrclauses = 10000000
% 0.77/1.20 Generated: 103
% 0.77/1.20 Kept: 4
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 The strategy used was not complete!
% 0.77/1.20
% 0.77/1.20 Increased maxweight to 20
% 0.77/1.20
% 0.77/1.20 Starting Search:
% 0.77/1.20
% 0.77/1.20 Resimplifying inuse:
% 0.77/1.20 Done
% 0.77/1.20
% 0.77/1.20 Failed to find proof!
% 0.77/1.20 maxweight = 20
% 0.77/1.20 maxnrclauses = 10000000
% 0.77/1.20 Generated: 130
% 0.77/1.20 Kept: 5
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 The strategy used was not complete!
% 0.77/1.20
% 0.77/1.20 Increased maxweight to 21
% 0.77/1.20
% 0.77/1.20 Starting Search:
% 0.77/1.20
% 0.77/1.20 Resimplifying inuse:
% 0.77/1.20 Done
% 0.77/1.20
% 0.77/1.20 Failed to find proof!
% 0.77/1.20 maxweight = 21
% 0.77/1.20 maxnrclauses = 10000000
% 0.77/1.20 Generated: 130
% 0.77/1.20 Kept: 5
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 The strategy used was not complete!
% 0.77/1.20
% 0.77/1.20 Increased maxweight to 22
% 0.77/1.20
% 0.77/1.20 Starting Search:
% 0.77/1.20
% 0.77/1.20 Resimplifying inuse:
% 0.77/1.20 Done
% 0.77/1.20
% 0.77/1.20 Failed to find proof!
% 0.77/1.20 maxweight = 22
% 0.77/1.20 maxnrclauses = 10000000
% 0.77/1.20 Generated: 484
% 0.77/1.20 Kept: 9
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 The strategy used was not complete!
% 0.77/1.20
% 0.77/1.20 Increased maxweight to 23
% 0.77/1.20
% 0.77/1.20 Starting Search:
% 0.77/1.20
% 0.77/1.20 Resimplifying inuse:
% 0.77/1.20 Done
% 0.77/1.20
% 0.77/1.20 Failed to find proof!
% 0.77/1.20 maxweight = 23
% 0.77/1.20 maxnrclauses = 10000000
% 0.77/1.20 Generated: 484
% 0.77/1.20 Kept: 9
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 The strategy used was not complete!
% 0.77/1.20
% 0.77/1.20 Increased maxweight to 24
% 0.77/1.20
% 0.77/1.20 Starting Search:
% 0.77/1.20
% 0.77/1.20 Resimplifying inuse:
% 0.77/1.20 Done
% 0.77/1.20
% 0.77/1.20 Failed to find proof!
% 0.77/1.20 maxweight = 24
% 0.77/1.20 maxnrclauses = 10000000
% 0.77/1.20 Generated: 484
% 0.77/1.20 Kept: 9
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 The strategy used was not complete!
% 0.77/1.20
% 0.77/1.20 Increased maxweight to 25
% 0.77/1.20
% 0.77/1.20 Starting Search:
% 0.77/1.20
% 0.77/1.20 Resimplifying inuse:
% 0.77/1.20 Done
% 0.77/1.20
% 0.77/1.20 Failed to find proof!
% 0.77/1.20 maxweight = 25
% 0.77/1.20 maxnrclauses = 10000000
% 0.77/1.20 Generated: 484
% 0.77/1.20 Kept: 9
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 The strategy used was not complete!
% 0.77/1.20
% 0.77/1.20 Increased maxweight to 26
% 0.77/1.20
% 0.77/1.20 Starting Search:
% 0.77/1.20
% 0.77/1.20 Resimplifying inuse:
% 0.77/1.20 Done
% 0.77/1.20
% 0.77/1.20 Failed to find proof!
% 0.77/1.20 maxweight = 26
% 0.77/1.20 maxnrclauses = 10000000
% 0.77/1.20 Generated: 360
% 0.77/1.20 Kept: 9
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 The strategy used was not complete!
% 0.77/1.20
% 0.77/1.20 Increased maxweight to 27
% 0.77/1.20
% 0.77/1.20 Starting Search:
% 0.77/1.20
% 0.77/1.20 Resimplifying inuse:
% 0.77/1.20 Done
% 0.77/1.20
% 0.77/1.20 Failed to find proof!
% 0.77/1.20 maxweight = 27
% 0.77/1.20 maxnrclauses = 10000000
% 0.77/1.20 Generated: 970
% 0.77/1.20 Kept: 12
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 The strategy used was not complete!
% 0.77/1.20
% 0.77/1.20 Increased maxweight to 28
% 0.77/1.20
% 0.77/1.20 Starting Search:
% 0.77/1.20
% 0.77/1.20 Resimplifying inuse:
% 0.77/1.20 Done
% 0.77/1.20
% 0.77/1.20 Failed to find proof!
% 0.77/1.20 maxweight = 28
% 0.77/1.20 maxnrclauses = 10000000
% 0.77/1.20 Generated: 1980
% 0.77/1.20 Kept: 17
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 The strategy used was not complete!
% 0.77/1.20
% 0.77/1.20 Increased maxweight to 29
% 0.77/1.20
% 0.77/1.20 Starting Search:
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 Bliksems!, er is een bewijs:
% 0.77/1.20 % SZS status Unsatisfiable
% 0.77/1.20 % SZS output start Refutation
% 0.77/1.20
% 0.77/1.20 clause( 0, [ =( multiply( X, inverse( multiply( inverse( multiply( inverse(
% 0.77/1.20 multiply( X, Y ) ), Z ) ), inverse( multiply( Y, multiply( inverse( Y ),
% 0.77/1.20 Y ) ) ) ) ) ), Z ) ] )
% 0.77/1.20 .
% 0.77/1.20 clause( 1, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 ),
% 0.77/1.20 a1 ) ) ) ] )
% 0.77/1.20 .
% 0.77/1.20 clause( 2, [ =( multiply( X, inverse( multiply( inverse( T ), inverse(
% 0.77/1.20 multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ) ), inverse( multiply(
% 0.77/1.20 inverse( multiply( inverse( multiply( inverse( multiply( X, Y ) ), Z ) )
% 0.77/1.20 , T ) ), inverse( multiply( Z, multiply( inverse( Z ), Z ) ) ) ) ) ) ] )
% 0.77/1.20 .
% 0.77/1.20 clause( 4, [ =( inverse( multiply( inverse( multiply( inverse( multiply(
% 0.77/1.20 inverse( multiply( X, Y ) ), T ) ), multiply( inverse( multiply( X, Y ) )
% 0.77/1.20 , Z ) ) ), inverse( multiply( T, multiply( inverse( T ), T ) ) ) ) ), Z )
% 0.77/1.20 ] )
% 0.77/1.20 .
% 0.77/1.20 clause( 5, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X, inverse(
% 0.77/1.20 multiply( inverse( T ), inverse( multiply( Y, multiply( inverse( Y ), Y )
% 0.77/1.20 ) ) ) ) ) ), T ) ] )
% 0.77/1.20 .
% 0.77/1.20 clause( 6, [ =( inverse( multiply( inverse( multiply( inverse( multiply( T
% 0.77/1.20 , U ) ), multiply( T, W ) ) ), inverse( multiply( U, multiply( inverse( U
% 0.77/1.20 ), U ) ) ) ) ), W ) ] )
% 0.77/1.20 .
% 0.77/1.20 clause( 8, [ =( multiply( inverse( multiply( T, Y ) ), multiply( T, Z ) ),
% 0.77/1.20 multiply( inverse( multiply( X, Y ) ), multiply( X, Z ) ) ) ] )
% 0.77/1.20 .
% 0.77/1.20 clause( 9, [ =( multiply( inverse( multiply( X, Y ) ), inverse( multiply( Z
% 0.77/1.20 , inverse( multiply( multiply( X, Z ), multiply( inverse( multiply( X, Z
% 0.77/1.20 ) ), multiply( X, Z ) ) ) ) ) ) ), inverse( multiply( Y, multiply(
% 0.77/1.20 inverse( Y ), Y ) ) ) ) ] )
% 0.77/1.20 .
% 0.77/1.20 clause( 13, [ =( multiply( Z, multiply( inverse( multiply( inverse(
% 0.77/1.20 multiply( X, Y ) ), multiply( X, Z ) ) ), T ) ), multiply( inverse(
% 0.77/1.20 multiply( U, inverse( multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ),
% 0.77/1.20 multiply( U, T ) ) ) ] )
% 0.77/1.20 .
% 0.77/1.20 clause( 17, [ =( multiply( inverse( multiply( inverse( multiply( X, Y ) ),
% 0.77/1.20 multiply( X, inverse( Z ) ) ) ), inverse( multiply( Y, multiply( inverse(
% 0.77/1.20 Y ), Y ) ) ) ), Z ) ] )
% 0.77/1.20 .
% 0.77/1.20 clause( 21, [ =( multiply( inverse( Z ), Z ), multiply( inverse( multiply(
% 0.77/1.20 T, inverse( multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ), multiply( T
% 0.77/1.20 , inverse( multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ) ) ] )
% 0.77/1.20 .
% 0.77/1.20 clause( 22, [ =( multiply( inverse( T ), T ), multiply( inverse( Z ), Z ) )
% 0.77/1.20 ] )
% 0.77/1.20 .
% 0.77/1.20 clause( 68, [ ~( =( multiply( inverse( X ), X ), multiply( inverse( a1 ),
% 0.77/1.20 a1 ) ) ) ] )
% 0.77/1.20 .
% 0.77/1.20 clause( 69, [] )
% 0.77/1.20 .
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 % SZS output end Refutation
% 0.77/1.20 found a proof!
% 0.77/1.20
% 0.77/1.20 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.77/1.20
% 0.77/1.20 initialclauses(
% 0.77/1.20 [ clause( 71, [ =( multiply( X, inverse( multiply( inverse( multiply(
% 0.77/1.20 inverse( multiply( X, Y ) ), Z ) ), inverse( multiply( Y, multiply(
% 0.77/1.20 inverse( Y ), Y ) ) ) ) ) ), Z ) ] )
% 0.77/1.20 , clause( 72, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1
% 0.77/1.20 ), b1 ) ) ) ] )
% 0.77/1.20 ] ).
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 subsumption(
% 0.77/1.20 clause( 0, [ =( multiply( X, inverse( multiply( inverse( multiply( inverse(
% 0.77/1.20 multiply( X, Y ) ), Z ) ), inverse( multiply( Y, multiply( inverse( Y ),
% 0.77/1.20 Y ) ) ) ) ) ), Z ) ] )
% 0.77/1.20 , clause( 71, [ =( multiply( X, inverse( multiply( inverse( multiply(
% 0.77/1.20 inverse( multiply( X, Y ) ), Z ) ), inverse( multiply( Y, multiply(
% 0.77/1.20 inverse( Y ), Y ) ) ) ) ) ), Z ) ] )
% 0.77/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.77/1.20 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 eqswap(
% 0.77/1.20 clause( 75, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 )
% 0.77/1.20 , a1 ) ) ) ] )
% 0.77/1.20 , clause( 72, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1
% 0.77/1.20 ), b1 ) ) ) ] )
% 0.77/1.20 , 0, substitution( 0, [] )).
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 subsumption(
% 0.77/1.20 clause( 1, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 ),
% 0.77/1.20 a1 ) ) ) ] )
% 0.77/1.20 , clause( 75, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1
% 0.77/1.20 ), a1 ) ) ) ] )
% 0.77/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 eqswap(
% 0.77/1.20 clause( 76, [ =( Z, multiply( X, inverse( multiply( inverse( multiply(
% 0.77/1.20 inverse( multiply( X, Y ) ), Z ) ), inverse( multiply( Y, multiply(
% 0.77/1.20 inverse( Y ), Y ) ) ) ) ) ) ) ] )
% 0.77/1.20 , clause( 0, [ =( multiply( X, inverse( multiply( inverse( multiply(
% 0.77/1.20 inverse( multiply( X, Y ) ), Z ) ), inverse( multiply( Y, multiply(
% 0.77/1.20 inverse( Y ), Y ) ) ) ) ) ), Z ) ] )
% 0.77/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 paramod(
% 0.77/1.20 clause( 79, [ =( inverse( multiply( inverse( multiply( inverse( multiply(
% 0.77/1.20 inverse( multiply( X, Y ) ), Z ) ), T ) ), inverse( multiply( Z, multiply(
% 0.77/1.20 inverse( Z ), Z ) ) ) ) ), multiply( X, inverse( multiply( inverse( T ),
% 0.77/1.20 inverse( multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ) ) ) ] )
% 0.77/1.20 , clause( 0, [ =( multiply( X, inverse( multiply( inverse( multiply(
% 0.77/1.20 inverse( multiply( X, Y ) ), Z ) ), inverse( multiply( Y, multiply(
% 0.77/1.20 inverse( Y ), Y ) ) ) ) ) ), Z ) ] )
% 0.77/1.20 , 0, clause( 76, [ =( Z, multiply( X, inverse( multiply( inverse( multiply(
% 0.77/1.20 inverse( multiply( X, Y ) ), Z ) ), inverse( multiply( Y, multiply(
% 0.77/1.20 inverse( Y ), Y ) ) ) ) ) ) ) ] )
% 0.77/1.20 , 0, 25, substitution( 0, [ :=( X, inverse( multiply( X, Y ) ) ), :=( Y, Z
% 0.77/1.20 ), :=( Z, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z,
% 0.77/1.20 inverse( multiply( inverse( multiply( inverse( multiply( inverse(
% 0.77/1.20 multiply( X, Y ) ), Z ) ), T ) ), inverse( multiply( Z, multiply( inverse(
% 0.77/1.20 Z ), Z ) ) ) ) ) )] )).
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 eqswap(
% 0.77/1.20 clause( 81, [ =( multiply( X, inverse( multiply( inverse( T ), inverse(
% 0.77/1.20 multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ) ), inverse( multiply(
% 0.77/1.20 inverse( multiply( inverse( multiply( inverse( multiply( X, Y ) ), Z ) )
% 0.77/1.20 , T ) ), inverse( multiply( Z, multiply( inverse( Z ), Z ) ) ) ) ) ) ] )
% 0.77/1.20 , clause( 79, [ =( inverse( multiply( inverse( multiply( inverse( multiply(
% 0.77/1.20 inverse( multiply( X, Y ) ), Z ) ), T ) ), inverse( multiply( Z, multiply(
% 0.77/1.20 inverse( Z ), Z ) ) ) ) ), multiply( X, inverse( multiply( inverse( T ),
% 0.77/1.20 inverse( multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ) ) ) ] )
% 0.77/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.77/1.20 ).
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 subsumption(
% 0.77/1.20 clause( 2, [ =( multiply( X, inverse( multiply( inverse( T ), inverse(
% 0.77/1.20 multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ) ), inverse( multiply(
% 0.77/1.20 inverse( multiply( inverse( multiply( inverse( multiply( X, Y ) ), Z ) )
% 0.77/1.20 , T ) ), inverse( multiply( Z, multiply( inverse( Z ), Z ) ) ) ) ) ) ] )
% 0.77/1.20 , clause( 81, [ =( multiply( X, inverse( multiply( inverse( T ), inverse(
% 0.77/1.20 multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ) ), inverse( multiply(
% 0.77/1.20 inverse( multiply( inverse( multiply( inverse( multiply( X, Y ) ), Z ) )
% 0.77/1.20 , T ) ), inverse( multiply( Z, multiply( inverse( Z ), Z ) ) ) ) ) ) ] )
% 0.77/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.77/1.20 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 eqswap(
% 0.77/1.20 clause( 83, [ =( inverse( multiply( inverse( multiply( inverse( multiply(
% 0.77/1.20 inverse( multiply( X, Z ) ), T ) ), Y ) ), inverse( multiply( T, multiply(
% 0.77/1.20 inverse( T ), T ) ) ) ) ), multiply( X, inverse( multiply( inverse( Y ),
% 0.77/1.20 inverse( multiply( Z, multiply( inverse( Z ), Z ) ) ) ) ) ) ) ] )
% 0.77/1.20 , clause( 2, [ =( multiply( X, inverse( multiply( inverse( T ), inverse(
% 0.77/1.20 multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ) ), inverse( multiply(
% 0.77/1.20 inverse( multiply( inverse( multiply( inverse( multiply( X, Y ) ), Z ) )
% 0.77/1.20 , T ) ), inverse( multiply( Z, multiply( inverse( Z ), Z ) ) ) ) ) ) ] )
% 0.77/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 0.77/1.20 ).
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 paramod(
% 0.77/1.20 clause( 104, [ =( inverse( multiply( inverse( multiply( inverse( multiply(
% 0.77/1.20 inverse( multiply( X, Y ) ), Z ) ), multiply( inverse( multiply( X, Y ) )
% 0.77/1.20 , T ) ) ), inverse( multiply( Z, multiply( inverse( Z ), Z ) ) ) ) ), T )
% 0.77/1.20 ] )
% 0.77/1.20 , clause( 0, [ =( multiply( X, inverse( multiply( inverse( multiply(
% 0.77/1.20 inverse( multiply( X, Y ) ), Z ) ), inverse( multiply( Y, multiply(
% 0.77/1.20 inverse( Y ), Y ) ) ) ) ) ), Z ) ] )
% 0.77/1.20 , 0, clause( 83, [ =( inverse( multiply( inverse( multiply( inverse(
% 0.77/1.20 multiply( inverse( multiply( X, Z ) ), T ) ), Y ) ), inverse( multiply( T
% 0.77/1.20 , multiply( inverse( T ), T ) ) ) ) ), multiply( X, inverse( multiply(
% 0.77/1.20 inverse( Y ), inverse( multiply( Z, multiply( inverse( Z ), Z ) ) ) ) ) )
% 0.77/1.20 ) ] )
% 0.77/1.20 , 0, 25, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T )] ),
% 0.77/1.20 substitution( 1, [ :=( X, X ), :=( Y, multiply( inverse( multiply( X, Y )
% 0.77/1.20 ), T ) ), :=( Z, Y ), :=( T, Z )] )).
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 subsumption(
% 0.77/1.20 clause( 4, [ =( inverse( multiply( inverse( multiply( inverse( multiply(
% 0.77/1.20 inverse( multiply( X, Y ) ), T ) ), multiply( inverse( multiply( X, Y ) )
% 0.77/1.20 , Z ) ) ), inverse( multiply( T, multiply( inverse( T ), T ) ) ) ) ), Z )
% 0.77/1.20 ] )
% 0.77/1.20 , clause( 104, [ =( inverse( multiply( inverse( multiply( inverse( multiply(
% 0.77/1.20 inverse( multiply( X, Y ) ), Z ) ), multiply( inverse( multiply( X, Y ) )
% 0.77/1.20 , T ) ) ), inverse( multiply( Z, multiply( inverse( Z ), Z ) ) ) ) ), T )
% 0.77/1.20 ] )
% 0.77/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] ),
% 0.77/1.20 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 eqswap(
% 0.77/1.20 clause( 109, [ =( inverse( multiply( inverse( multiply( inverse( multiply(
% 0.77/1.20 inverse( multiply( X, Z ) ), T ) ), Y ) ), inverse( multiply( T, multiply(
% 0.77/1.20 inverse( T ), T ) ) ) ) ), multiply( X, inverse( multiply( inverse( Y ),
% 0.77/1.20 inverse( multiply( Z, multiply( inverse( Z ), Z ) ) ) ) ) ) ) ] )
% 0.77/1.20 , clause( 2, [ =( multiply( X, inverse( multiply( inverse( T ), inverse(
% 0.77/1.20 multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ) ), inverse( multiply(
% 0.77/1.20 inverse( multiply( inverse( multiply( inverse( multiply( X, Y ) ), Z ) )
% 0.77/1.20 , T ) ), inverse( multiply( Z, multiply( inverse( Z ), Z ) ) ) ) ) ) ] )
% 0.77/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 0.77/1.20 ).
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 eqswap(
% 0.77/1.20 clause( 110, [ =( Z, multiply( X, inverse( multiply( inverse( multiply(
% 0.77/1.20 inverse( multiply( X, Y ) ), Z ) ), inverse( multiply( Y, multiply(
% 0.77/1.20 inverse( Y ), Y ) ) ) ) ) ) ) ] )
% 0.77/1.20 , clause( 0, [ =( multiply( X, inverse( multiply( inverse( multiply(
% 0.77/1.20 inverse( multiply( X, Y ) ), Z ) ), inverse( multiply( Y, multiply(
% 0.77/1.20 inverse( Y ), Y ) ) ) ) ) ), Z ) ] )
% 0.77/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 paramod(
% 0.77/1.20 clause( 111, [ =( X, multiply( inverse( multiply( Y, Z ) ), multiply( Y,
% 0.77/1.20 inverse( multiply( inverse( X ), inverse( multiply( Z, multiply( inverse(
% 0.77/1.20 Z ), Z ) ) ) ) ) ) ) ) ] )
% 0.77/1.20 , clause( 109, [ =( inverse( multiply( inverse( multiply( inverse( multiply(
% 0.77/1.20 inverse( multiply( X, Z ) ), T ) ), Y ) ), inverse( multiply( T, multiply(
% 0.77/1.20 inverse( T ), T ) ) ) ) ), multiply( X, inverse( multiply( inverse( Y ),
% 0.77/1.20 inverse( multiply( Z, multiply( inverse( Z ), Z ) ) ) ) ) ) ) ] )
% 0.77/1.20 , 0, clause( 110, [ =( Z, multiply( X, inverse( multiply( inverse( multiply(
% 0.77/1.20 inverse( multiply( X, Y ) ), Z ) ), inverse( multiply( Y, multiply(
% 0.77/1.20 inverse( Y ), Y ) ) ) ) ) ) ) ] )
% 0.77/1.20 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, T )] )
% 0.77/1.20 , substitution( 1, [ :=( X, inverse( multiply( Y, Z ) ) ), :=( Y, T ),
% 0.77/1.20 :=( Z, X )] )).
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 eqswap(
% 0.77/1.20 clause( 115, [ =( multiply( inverse( multiply( Y, Z ) ), multiply( Y,
% 0.77/1.20 inverse( multiply( inverse( X ), inverse( multiply( Z, multiply( inverse(
% 0.77/1.20 Z ), Z ) ) ) ) ) ) ), X ) ] )
% 0.77/1.20 , clause( 111, [ =( X, multiply( inverse( multiply( Y, Z ) ), multiply( Y,
% 0.77/1.20 inverse( multiply( inverse( X ), inverse( multiply( Z, multiply( inverse(
% 0.77/1.20 Z ), Z ) ) ) ) ) ) ) ) ] )
% 0.77/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 subsumption(
% 0.77/1.20 clause( 5, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X, inverse(
% 0.77/1.20 multiply( inverse( T ), inverse( multiply( Y, multiply( inverse( Y ), Y )
% 0.77/1.20 ) ) ) ) ) ), T ) ] )
% 0.77/1.20 , clause( 115, [ =( multiply( inverse( multiply( Y, Z ) ), multiply( Y,
% 0.77/1.20 inverse( multiply( inverse( X ), inverse( multiply( Z, multiply( inverse(
% 0.77/1.20 Z ), Z ) ) ) ) ) ) ), X ) ] )
% 0.77/1.20 , substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y )] ),
% 0.77/1.20 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 eqswap(
% 0.77/1.20 clause( 119, [ =( T, inverse( multiply( inverse( multiply( inverse(
% 0.77/1.20 multiply( inverse( multiply( X, Y ) ), Z ) ), multiply( inverse( multiply(
% 0.77/1.20 X, Y ) ), T ) ) ), inverse( multiply( Z, multiply( inverse( Z ), Z ) ) )
% 0.77/1.20 ) ) ) ] )
% 0.77/1.20 , clause( 4, [ =( inverse( multiply( inverse( multiply( inverse( multiply(
% 0.77/1.20 inverse( multiply( X, Y ) ), T ) ), multiply( inverse( multiply( X, Y ) )
% 0.77/1.20 , Z ) ) ), inverse( multiply( T, multiply( inverse( T ), T ) ) ) ) ), Z )
% 0.77/1.20 ] )
% 0.77/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] )
% 0.77/1.20 ).
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 paramod(
% 0.77/1.20 clause( 124, [ =( X, inverse( multiply( inverse( multiply( inverse(
% 0.77/1.20 multiply( inverse( multiply( inverse( multiply( inverse( multiply(
% 0.77/1.20 inverse( multiply( Y, Z ) ), T ) ), multiply( inverse( multiply( Y, Z ) )
% 0.77/1.20 , U ) ) ), inverse( multiply( T, multiply( inverse( T ), T ) ) ) ) ), W )
% 0.77/1.20 ), multiply( U, X ) ) ), inverse( multiply( W, multiply( inverse( W ), W
% 0.77/1.20 ) ) ) ) ) ) ] )
% 0.77/1.20 , clause( 4, [ =( inverse( multiply( inverse( multiply( inverse( multiply(
% 0.77/1.20 inverse( multiply( X, Y ) ), T ) ), multiply( inverse( multiply( X, Y ) )
% 0.77/1.20 , Z ) ) ), inverse( multiply( T, multiply( inverse( T ), T ) ) ) ) ), Z )
% 0.77/1.20 ] )
% 0.77/1.20 , 0, clause( 119, [ =( T, inverse( multiply( inverse( multiply( inverse(
% 0.77/1.20 multiply( inverse( multiply( X, Y ) ), Z ) ), multiply( inverse( multiply(
% 0.77/1.20 X, Y ) ), T ) ) ), inverse( multiply( Z, multiply( inverse( Z ), Z ) ) )
% 0.77/1.20 ) ) ) ] )
% 0.77/1.20 , 0, 34, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, U ), :=( T, T )] )
% 0.77/1.20 , substitution( 1, [ :=( X, inverse( multiply( inverse( multiply( inverse(
% 0.77/1.20 multiply( Y, Z ) ), T ) ), multiply( inverse( multiply( Y, Z ) ), U ) ) )
% 0.77/1.20 ), :=( Y, inverse( multiply( T, multiply( inverse( T ), T ) ) ) ), :=( Z
% 0.77/1.20 , W ), :=( T, X )] )).
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 paramod(
% 0.77/1.20 clause( 126, [ =( X, inverse( multiply( inverse( multiply( inverse(
% 0.77/1.20 multiply( U, W ) ), multiply( U, X ) ) ), inverse( multiply( W, multiply(
% 0.77/1.20 inverse( W ), W ) ) ) ) ) ) ] )
% 0.77/1.20 , clause( 4, [ =( inverse( multiply( inverse( multiply( inverse( multiply(
% 0.77/1.20 inverse( multiply( X, Y ) ), T ) ), multiply( inverse( multiply( X, Y ) )
% 0.77/1.20 , Z ) ) ), inverse( multiply( T, multiply( inverse( T ), T ) ) ) ) ), Z )
% 0.77/1.20 ] )
% 0.77/1.20 , 0, clause( 124, [ =( X, inverse( multiply( inverse( multiply( inverse(
% 0.77/1.20 multiply( inverse( multiply( inverse( multiply( inverse( multiply(
% 0.77/1.20 inverse( multiply( Y, Z ) ), T ) ), multiply( inverse( multiply( Y, Z ) )
% 0.77/1.20 , U ) ) ), inverse( multiply( T, multiply( inverse( T ), T ) ) ) ) ), W )
% 0.77/1.20 ), multiply( U, X ) ) ), inverse( multiply( W, multiply( inverse( W ), W
% 0.77/1.20 ) ) ) ) ) ) ] )
% 0.77/1.20 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, U ), :=( T, T )] )
% 0.77/1.20 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=(
% 0.77/1.20 U, U ), :=( W, W )] )).
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 eqswap(
% 0.77/1.20 clause( 129, [ =( inverse( multiply( inverse( multiply( inverse( multiply(
% 0.77/1.20 Y, Z ) ), multiply( Y, X ) ) ), inverse( multiply( Z, multiply( inverse(
% 0.77/1.20 Z ), Z ) ) ) ) ), X ) ] )
% 0.77/1.20 , clause( 126, [ =( X, inverse( multiply( inverse( multiply( inverse(
% 0.77/1.20 multiply( U, W ) ), multiply( U, X ) ) ), inverse( multiply( W, multiply(
% 0.77/1.20 inverse( W ), W ) ) ) ) ) ) ] )
% 0.77/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, U ), :=( T, W ),
% 0.77/1.20 :=( U, Y ), :=( W, Z )] )).
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 subsumption(
% 0.77/1.20 clause( 6, [ =( inverse( multiply( inverse( multiply( inverse( multiply( T
% 0.77/1.20 , U ) ), multiply( T, W ) ) ), inverse( multiply( U, multiply( inverse( U
% 0.77/1.20 ), U ) ) ) ) ), W ) ] )
% 0.77/1.20 , clause( 129, [ =( inverse( multiply( inverse( multiply( inverse( multiply(
% 0.77/1.20 Y, Z ) ), multiply( Y, X ) ) ), inverse( multiply( Z, multiply( inverse(
% 0.77/1.20 Z ), Z ) ) ) ) ), X ) ] )
% 0.77/1.20 , substitution( 0, [ :=( X, W ), :=( Y, T ), :=( Z, U )] ),
% 0.77/1.20 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 eqswap(
% 0.77/1.20 clause( 133, [ =( Z, multiply( inverse( multiply( X, Y ) ), multiply( X,
% 0.77/1.20 inverse( multiply( inverse( Z ), inverse( multiply( Y, multiply( inverse(
% 0.77/1.20 Y ), Y ) ) ) ) ) ) ) ) ] )
% 0.77/1.20 , clause( 5, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X,
% 0.77/1.20 inverse( multiply( inverse( T ), inverse( multiply( Y, multiply( inverse(
% 0.77/1.20 Y ), Y ) ) ) ) ) ) ), T ) ] )
% 0.77/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] )
% 0.77/1.20 ).
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 paramod(
% 0.77/1.20 clause( 140, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X, Z ) )
% 0.77/1.20 , multiply( inverse( multiply( T, Y ) ), multiply( T, Z ) ) ) ] )
% 0.77/1.20 , clause( 6, [ =( inverse( multiply( inverse( multiply( inverse( multiply(
% 0.77/1.20 T, U ) ), multiply( T, W ) ) ), inverse( multiply( U, multiply( inverse(
% 0.77/1.20 U ), U ) ) ) ) ), W ) ] )
% 0.77/1.20 , 0, clause( 133, [ =( Z, multiply( inverse( multiply( X, Y ) ), multiply(
% 0.77/1.20 X, inverse( multiply( inverse( Z ), inverse( multiply( Y, multiply(
% 0.77/1.20 inverse( Y ), Y ) ) ) ) ) ) ) ) ] )
% 0.77/1.20 , 0, 16, substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, V0 ), :=( T, X )
% 0.77/1.20 , :=( U, Y ), :=( W, Z )] ), substitution( 1, [ :=( X, T ), :=( Y, Y ),
% 0.77/1.20 :=( Z, multiply( inverse( multiply( X, Y ) ), multiply( X, Z ) ) )] )
% 0.77/1.20 ).
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 subsumption(
% 0.77/1.20 clause( 8, [ =( multiply( inverse( multiply( T, Y ) ), multiply( T, Z ) ),
% 0.77/1.20 multiply( inverse( multiply( X, Y ) ), multiply( X, Z ) ) ) ] )
% 0.77/1.20 , clause( 140, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X, Z )
% 0.77/1.20 ), multiply( inverse( multiply( T, Y ) ), multiply( T, Z ) ) ) ] )
% 0.77/1.20 , substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] ),
% 0.77/1.20 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 eqswap(
% 0.77/1.20 clause( 147, [ =( Z, multiply( X, inverse( multiply( inverse( multiply(
% 0.77/1.20 inverse( multiply( X, Y ) ), Z ) ), inverse( multiply( Y, multiply(
% 0.77/1.20 inverse( Y ), Y ) ) ) ) ) ) ) ] )
% 0.77/1.20 , clause( 0, [ =( multiply( X, inverse( multiply( inverse( multiply(
% 0.77/1.20 inverse( multiply( X, Y ) ), Z ) ), inverse( multiply( Y, multiply(
% 0.77/1.20 inverse( Y ), Y ) ) ) ) ) ), Z ) ] )
% 0.77/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 paramod(
% 0.77/1.20 clause( 152, [ =( inverse( multiply( X, multiply( inverse( X ), X ) ) ),
% 0.77/1.20 multiply( inverse( multiply( Y, X ) ), inverse( multiply( Z, inverse(
% 0.77/1.20 multiply( multiply( Y, Z ), multiply( inverse( multiply( Y, Z ) ),
% 0.77/1.20 multiply( Y, Z ) ) ) ) ) ) ) ) ] )
% 0.77/1.20 , clause( 6, [ =( inverse( multiply( inverse( multiply( inverse( multiply(
% 0.77/1.20 T, U ) ), multiply( T, W ) ) ), inverse( multiply( U, multiply( inverse(
% 0.77/1.20 U ), U ) ) ) ) ), W ) ] )
% 0.77/1.20 , 0, clause( 147, [ =( Z, multiply( X, inverse( multiply( inverse( multiply(
% 0.77/1.20 inverse( multiply( X, Y ) ), Z ) ), inverse( multiply( Y, multiply(
% 0.77/1.20 inverse( Y ), Y ) ) ) ) ) ) ) ] )
% 0.77/1.20 , 0, 15, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, W ), :=( T, Y )
% 0.77/1.20 , :=( U, X ), :=( W, Z )] ), substitution( 1, [ :=( X, inverse( multiply(
% 0.77/1.20 Y, X ) ) ), :=( Y, multiply( Y, Z ) ), :=( Z, inverse( multiply( X,
% 0.77/1.20 multiply( inverse( X ), X ) ) ) )] )).
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 eqswap(
% 0.77/1.20 clause( 155, [ =( multiply( inverse( multiply( Y, X ) ), inverse( multiply(
% 0.77/1.20 Z, inverse( multiply( multiply( Y, Z ), multiply( inverse( multiply( Y, Z
% 0.77/1.20 ) ), multiply( Y, Z ) ) ) ) ) ) ), inverse( multiply( X, multiply(
% 0.77/1.20 inverse( X ), X ) ) ) ) ] )
% 0.77/1.20 , clause( 152, [ =( inverse( multiply( X, multiply( inverse( X ), X ) ) ),
% 0.77/1.20 multiply( inverse( multiply( Y, X ) ), inverse( multiply( Z, inverse(
% 0.77/1.20 multiply( multiply( Y, Z ), multiply( inverse( multiply( Y, Z ) ),
% 0.77/1.20 multiply( Y, Z ) ) ) ) ) ) ) ) ] )
% 0.77/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 subsumption(
% 0.77/1.20 clause( 9, [ =( multiply( inverse( multiply( X, Y ) ), inverse( multiply( Z
% 0.77/1.20 , inverse( multiply( multiply( X, Z ), multiply( inverse( multiply( X, Z
% 0.77/1.20 ) ), multiply( X, Z ) ) ) ) ) ) ), inverse( multiply( Y, multiply(
% 0.77/1.20 inverse( Y ), Y ) ) ) ) ] )
% 0.77/1.20 , clause( 155, [ =( multiply( inverse( multiply( Y, X ) ), inverse(
% 0.77/1.20 multiply( Z, inverse( multiply( multiply( Y, Z ), multiply( inverse(
% 0.77/1.20 multiply( Y, Z ) ), multiply( Y, Z ) ) ) ) ) ) ), inverse( multiply( X,
% 0.77/1.20 multiply( inverse( X ), X ) ) ) ) ] )
% 0.77/1.20 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.77/1.20 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 paramod(
% 0.77/1.20 clause( 168, [ =( multiply( Z, multiply( inverse( multiply( inverse(
% 0.77/1.20 multiply( X, Y ) ), multiply( X, Z ) ) ), T ) ), multiply( inverse(
% 0.77/1.20 multiply( U, inverse( multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ),
% 0.77/1.20 multiply( U, T ) ) ) ] )
% 0.77/1.20 , clause( 6, [ =( inverse( multiply( inverse( multiply( inverse( multiply(
% 0.77/1.20 T, U ) ), multiply( T, W ) ) ), inverse( multiply( U, multiply( inverse(
% 0.77/1.20 U ), U ) ) ) ) ), W ) ] )
% 0.77/1.20 , 0, clause( 8, [ =( multiply( inverse( multiply( T, Y ) ), multiply( T, Z
% 0.77/1.20 ) ), multiply( inverse( multiply( X, Y ) ), multiply( X, Z ) ) ) ] )
% 0.77/1.20 , 0, 2, substitution( 0, [ :=( X, W ), :=( Y, V0 ), :=( Z, V1 ), :=( T, X )
% 0.77/1.20 , :=( U, Y ), :=( W, Z )] ), substitution( 1, [ :=( X, U ), :=( Y,
% 0.77/1.20 inverse( multiply( Y, multiply( inverse( Y ), Y ) ) ) ), :=( Z, T ), :=(
% 0.77/1.20 T, inverse( multiply( inverse( multiply( X, Y ) ), multiply( X, Z ) ) ) )] )
% 0.77/1.20 ).
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 subsumption(
% 0.77/1.20 clause( 13, [ =( multiply( Z, multiply( inverse( multiply( inverse(
% 0.77/1.20 multiply( X, Y ) ), multiply( X, Z ) ) ), T ) ), multiply( inverse(
% 0.77/1.20 multiply( U, inverse( multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ),
% 0.77/1.20 multiply( U, T ) ) ) ] )
% 0.77/1.20 , clause( 168, [ =( multiply( Z, multiply( inverse( multiply( inverse(
% 0.77/1.20 multiply( X, Y ) ), multiply( X, Z ) ) ), T ) ), multiply( inverse(
% 0.77/1.20 multiply( U, inverse( multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ),
% 0.77/1.20 multiply( U, T ) ) ) ] )
% 0.77/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.77/1.20 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 eqswap(
% 0.77/1.20 clause( 171, [ =( Z, multiply( inverse( multiply( X, Y ) ), multiply( X,
% 0.77/1.20 inverse( multiply( inverse( Z ), inverse( multiply( Y, multiply( inverse(
% 0.77/1.20 Y ), Y ) ) ) ) ) ) ) ) ] )
% 0.77/1.20 , clause( 5, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X,
% 0.77/1.20 inverse( multiply( inverse( T ), inverse( multiply( Y, multiply( inverse(
% 0.77/1.20 Y ), Y ) ) ) ) ) ) ), T ) ] )
% 0.77/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] )
% 0.77/1.20 ).
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 paramod(
% 0.77/1.20 clause( 241, [ =( X, multiply( inverse( multiply( inverse( multiply( Y, Z )
% 0.77/1.20 ), multiply( Y, inverse( X ) ) ) ), inverse( multiply( Z, multiply(
% 0.77/1.20 inverse( Z ), Z ) ) ) ) ) ] )
% 0.77/1.20 , clause( 9, [ =( multiply( inverse( multiply( X, Y ) ), inverse( multiply(
% 0.77/1.20 Z, inverse( multiply( multiply( X, Z ), multiply( inverse( multiply( X, Z
% 0.77/1.20 ) ), multiply( X, Z ) ) ) ) ) ) ), inverse( multiply( Y, multiply(
% 0.77/1.20 inverse( Y ), Y ) ) ) ) ] )
% 0.77/1.20 , 0, clause( 171, [ =( Z, multiply( inverse( multiply( X, Y ) ), multiply(
% 0.77/1.20 X, inverse( multiply( inverse( Z ), inverse( multiply( Y, multiply(
% 0.77/1.20 inverse( Y ), Y ) ) ) ) ) ) ) ) ] )
% 0.77/1.20 , 0, 13, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, inverse( X ) )] )
% 0.77/1.20 , substitution( 1, [ :=( X, inverse( multiply( Y, Z ) ) ), :=( Y,
% 0.77/1.20 multiply( Y, inverse( X ) ) ), :=( Z, X )] )).
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 eqswap(
% 0.77/1.20 clause( 243, [ =( multiply( inverse( multiply( inverse( multiply( Y, Z ) )
% 0.77/1.20 , multiply( Y, inverse( X ) ) ) ), inverse( multiply( Z, multiply(
% 0.77/1.20 inverse( Z ), Z ) ) ) ), X ) ] )
% 0.77/1.20 , clause( 241, [ =( X, multiply( inverse( multiply( inverse( multiply( Y, Z
% 0.77/1.20 ) ), multiply( Y, inverse( X ) ) ) ), inverse( multiply( Z, multiply(
% 0.77/1.20 inverse( Z ), Z ) ) ) ) ) ] )
% 0.77/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 subsumption(
% 0.77/1.20 clause( 17, [ =( multiply( inverse( multiply( inverse( multiply( X, Y ) ),
% 0.77/1.20 multiply( X, inverse( Z ) ) ) ), inverse( multiply( Y, multiply( inverse(
% 0.77/1.20 Y ), Y ) ) ) ), Z ) ] )
% 0.77/1.20 , clause( 243, [ =( multiply( inverse( multiply( inverse( multiply( Y, Z )
% 0.77/1.20 ), multiply( Y, inverse( X ) ) ) ), inverse( multiply( Z, multiply(
% 0.77/1.20 inverse( Z ), Z ) ) ) ), X ) ] )
% 0.77/1.20 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.77/1.20 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 eqswap(
% 0.77/1.20 clause( 245, [ =( multiply( inverse( multiply( U, inverse( multiply( Z,
% 0.77/1.20 multiply( inverse( Z ), Z ) ) ) ) ), multiply( U, T ) ), multiply( X,
% 0.77/1.20 multiply( inverse( multiply( inverse( multiply( Y, Z ) ), multiply( Y, X
% 0.77/1.20 ) ) ), T ) ) ) ] )
% 0.77/1.20 , clause( 13, [ =( multiply( Z, multiply( inverse( multiply( inverse(
% 0.77/1.20 multiply( X, Y ) ), multiply( X, Z ) ) ), T ) ), multiply( inverse(
% 0.77/1.20 multiply( U, inverse( multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ),
% 0.77/1.20 multiply( U, T ) ) ) ] )
% 0.77/1.20 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, T ),
% 0.77/1.20 :=( U, U )] )).
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 paramod(
% 0.77/1.20 clause( 256, [ =( multiply( inverse( multiply( X, inverse( multiply( Y,
% 0.77/1.20 multiply( inverse( Y ), Y ) ) ) ) ), multiply( X, inverse( multiply( Y,
% 0.77/1.20 multiply( inverse( Y ), Y ) ) ) ) ), multiply( inverse( Z ), Z ) ) ] )
% 0.77/1.20 , clause( 17, [ =( multiply( inverse( multiply( inverse( multiply( X, Y ) )
% 0.77/1.20 , multiply( X, inverse( Z ) ) ) ), inverse( multiply( Y, multiply(
% 0.77/1.20 inverse( Y ), Y ) ) ) ), Z ) ] )
% 0.77/1.20 , 0, clause( 245, [ =( multiply( inverse( multiply( U, inverse( multiply( Z
% 0.77/1.20 , multiply( inverse( Z ), Z ) ) ) ) ), multiply( U, T ) ), multiply( X,
% 0.77/1.20 multiply( inverse( multiply( inverse( multiply( Y, Z ) ), multiply( Y, X
% 0.77/1.20 ) ) ), T ) ) ) ] )
% 0.77/1.20 , 0, 24, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z )] ),
% 0.77/1.20 substitution( 1, [ :=( X, inverse( Z ) ), :=( Y, T ), :=( Z, Y ), :=( T,
% 0.77/1.20 inverse( multiply( Y, multiply( inverse( Y ), Y ) ) ) ), :=( U, X )] )
% 0.77/1.20 ).
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 eqswap(
% 0.77/1.20 clause( 261, [ =( multiply( inverse( Z ), Z ), multiply( inverse( multiply(
% 0.77/1.20 X, inverse( multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ), multiply( X
% 0.77/1.20 , inverse( multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ) ) ] )
% 0.77/1.20 , clause( 256, [ =( multiply( inverse( multiply( X, inverse( multiply( Y,
% 0.77/1.20 multiply( inverse( Y ), Y ) ) ) ) ), multiply( X, inverse( multiply( Y,
% 0.77/1.20 multiply( inverse( Y ), Y ) ) ) ) ), multiply( inverse( Z ), Z ) ) ] )
% 0.77/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 subsumption(
% 0.77/1.20 clause( 21, [ =( multiply( inverse( Z ), Z ), multiply( inverse( multiply(
% 0.77/1.20 T, inverse( multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ), multiply( T
% 0.77/1.20 , inverse( multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ) ) ] )
% 0.77/1.20 , clause( 261, [ =( multiply( inverse( Z ), Z ), multiply( inverse(
% 0.77/1.20 multiply( X, inverse( multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ),
% 0.77/1.20 multiply( X, inverse( multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ) )
% 0.77/1.20 ] )
% 0.77/1.20 , substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z )] ),
% 0.77/1.20 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 eqswap(
% 0.77/1.20 clause( 264, [ =( multiply( inverse( multiply( Y, inverse( multiply( Z,
% 0.77/1.20 multiply( inverse( Z ), Z ) ) ) ) ), multiply( Y, inverse( multiply( Z,
% 0.77/1.20 multiply( inverse( Z ), Z ) ) ) ) ), multiply( inverse( X ), X ) ) ] )
% 0.77/1.20 , clause( 21, [ =( multiply( inverse( Z ), Z ), multiply( inverse( multiply(
% 0.77/1.20 T, inverse( multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ), multiply( T
% 0.77/1.20 , inverse( multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ) ) ] )
% 0.77/1.20 , 0, substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, X ), :=( T, Y )] )
% 0.77/1.20 ).
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 eqswap(
% 0.77/1.20 clause( 265, [ =( multiply( inverse( multiply( Y, inverse( multiply( Z,
% 0.77/1.20 multiply( inverse( Z ), Z ) ) ) ) ), multiply( Y, inverse( multiply( Z,
% 0.77/1.20 multiply( inverse( Z ), Z ) ) ) ) ), multiply( inverse( X ), X ) ) ] )
% 0.77/1.20 , clause( 21, [ =( multiply( inverse( Z ), Z ), multiply( inverse( multiply(
% 0.77/1.20 T, inverse( multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ), multiply( T
% 0.77/1.20 , inverse( multiply( Y, multiply( inverse( Y ), Y ) ) ) ) ) ) ] )
% 0.77/1.20 , 0, substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, X ), :=( T, Y )] )
% 0.77/1.20 ).
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 paramod(
% 0.77/1.20 clause( 266, [ =( multiply( inverse( T ), T ), multiply( inverse( Z ), Z )
% 0.77/1.20 ) ] )
% 0.77/1.20 , clause( 264, [ =( multiply( inverse( multiply( Y, inverse( multiply( Z,
% 0.77/1.20 multiply( inverse( Z ), Z ) ) ) ) ), multiply( Y, inverse( multiply( Z,
% 0.77/1.20 multiply( inverse( Z ), Z ) ) ) ) ), multiply( inverse( X ), X ) ) ] )
% 0.77/1.20 , 0, clause( 265, [ =( multiply( inverse( multiply( Y, inverse( multiply( Z
% 0.77/1.20 , multiply( inverse( Z ), Z ) ) ) ) ), multiply( Y, inverse( multiply( Z
% 0.77/1.20 , multiply( inverse( Z ), Z ) ) ) ) ), multiply( inverse( X ), X ) ) ] )
% 0.77/1.20 , 0, 1, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y )] ),
% 0.77/1.20 substitution( 1, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 subsumption(
% 0.77/1.20 clause( 22, [ =( multiply( inverse( T ), T ), multiply( inverse( Z ), Z ) )
% 0.77/1.20 ] )
% 0.77/1.20 , clause( 266, [ =( multiply( inverse( T ), T ), multiply( inverse( Z ), Z
% 0.77/1.20 ) ) ] )
% 0.77/1.20 , substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, Z ), :=( T, T )] ),
% 0.77/1.20 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 eqswap(
% 0.77/1.20 clause( 272, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 )
% 0.77/1.20 , b1 ) ) ) ] )
% 0.77/1.20 , clause( 1, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 )
% 0.77/1.20 , a1 ) ) ) ] )
% 0.77/1.20 , 0, substitution( 0, [] )).
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 paramod(
% 0.77/1.20 clause( 274, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( X )
% 0.77/1.20 , X ) ) ) ] )
% 0.77/1.20 , clause( 22, [ =( multiply( inverse( T ), T ), multiply( inverse( Z ), Z )
% 0.77/1.20 ) ] )
% 0.77/1.20 , 0, clause( 272, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse(
% 0.77/1.20 b1 ), b1 ) ) ) ] )
% 0.77/1.20 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, b1 )] )
% 0.77/1.20 , substitution( 1, [] )).
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 paramod(
% 0.77/1.20 clause( 275, [ ~( =( multiply( inverse( Y ), Y ), multiply( inverse( X ), X
% 0.77/1.20 ) ) ) ] )
% 0.77/1.20 , clause( 22, [ =( multiply( inverse( T ), T ), multiply( inverse( Z ), Z )
% 0.77/1.20 ) ] )
% 0.77/1.20 , 0, clause( 274, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse(
% 0.77/1.20 X ), X ) ) ) ] )
% 0.77/1.20 , 0, 2, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, Y ), :=( T, a1 )] )
% 0.77/1.20 , substitution( 1, [ :=( X, X )] )).
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 subsumption(
% 0.77/1.20 clause( 68, [ ~( =( multiply( inverse( X ), X ), multiply( inverse( a1 ),
% 0.77/1.20 a1 ) ) ) ] )
% 0.77/1.20 , clause( 275, [ ~( =( multiply( inverse( Y ), Y ), multiply( inverse( X )
% 0.77/1.20 , X ) ) ) ] )
% 0.77/1.20 , substitution( 0, [ :=( X, a1 ), :=( Y, X )] ), permutation( 0, [ ==>( 0,
% 0.77/1.20 0 )] ) ).
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 eqswap(
% 0.77/1.20 clause( 276, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( X )
% 0.77/1.20 , X ) ) ) ] )
% 0.77/1.20 , clause( 68, [ ~( =( multiply( inverse( X ), X ), multiply( inverse( a1 )
% 0.77/1.20 , a1 ) ) ) ] )
% 0.77/1.20 , 0, substitution( 0, [ :=( X, X )] )).
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 eqrefl(
% 0.77/1.20 clause( 277, [] )
% 0.77/1.20 , clause( 276, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( X
% 0.77/1.20 ), X ) ) ) ] )
% 0.77/1.20 , 0, substitution( 0, [ :=( X, a1 )] )).
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 subsumption(
% 0.77/1.20 clause( 69, [] )
% 0.77/1.20 , clause( 277, [] )
% 0.77/1.20 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 end.
% 0.77/1.20
% 0.77/1.20 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.77/1.20
% 0.77/1.20 Memory use:
% 0.77/1.20
% 0.77/1.20 space for terms: 1782
% 0.77/1.20 space for clauses: 12877
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 clauses generated: 2393
% 0.77/1.20 clauses kept: 70
% 0.77/1.20 clauses selected: 18
% 0.77/1.20 clauses deleted: 1
% 0.77/1.20 clauses inuse deleted: 0
% 0.77/1.20
% 0.77/1.20 subsentry: 1957
% 0.77/1.20 literals s-matched: 434
% 0.77/1.20 literals matched: 386
% 0.77/1.20 full subsumption: 0
% 0.77/1.20
% 0.77/1.20 checksum: 26921278
% 0.77/1.20
% 0.77/1.20
% 0.77/1.20 Bliksem ended
%------------------------------------------------------------------------------