TSTP Solution File: GRP409-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP409-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n022.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 07:36:51 EDT 2022
% Result : Unsatisfiable 0.76s 1.14s
% Output : Refutation 0.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP409-1 : TPTP v8.1.0. Released v2.6.0.
% 0.08/0.14 % Command : bliksem %s
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Mon Jun 13 13:42:18 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.76/1.14 *** allocated 10000 integers for termspace/termends
% 0.76/1.14 *** allocated 10000 integers for clauses
% 0.76/1.14 *** allocated 10000 integers for justifications
% 0.76/1.14 Bliksem 1.12
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 Automatic Strategy Selection
% 0.76/1.14
% 0.76/1.14 Clauses:
% 0.76/1.14 [
% 0.76/1.14 [ =( multiply( multiply( inverse( multiply( X, inverse( multiply( Y, Z )
% 0.76/1.14 ) ) ), multiply( X, inverse( Z ) ) ), inverse( multiply( inverse( Z ), Z
% 0.76/1.14 ) ) ), Y ) ],
% 0.76/1.14 [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1 ) ) )
% 0.76/1.14 ]
% 0.76/1.14 ] .
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 percentage equality = 1.000000, percentage horn = 1.000000
% 0.76/1.14 This is a pure equality problem
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 Options Used:
% 0.76/1.14
% 0.76/1.14 useres = 1
% 0.76/1.14 useparamod = 1
% 0.76/1.14 useeqrefl = 1
% 0.76/1.14 useeqfact = 1
% 0.76/1.14 usefactor = 1
% 0.76/1.14 usesimpsplitting = 0
% 0.76/1.14 usesimpdemod = 5
% 0.76/1.14 usesimpres = 3
% 0.76/1.14
% 0.76/1.14 resimpinuse = 1000
% 0.76/1.14 resimpclauses = 20000
% 0.76/1.14 substype = eqrewr
% 0.76/1.14 backwardsubs = 1
% 0.76/1.14 selectoldest = 5
% 0.76/1.14
% 0.76/1.14 litorderings [0] = split
% 0.76/1.14 litorderings [1] = extend the termordering, first sorting on arguments
% 0.76/1.14
% 0.76/1.14 termordering = kbo
% 0.76/1.14
% 0.76/1.14 litapriori = 0
% 0.76/1.14 termapriori = 1
% 0.76/1.14 litaposteriori = 0
% 0.76/1.14 termaposteriori = 0
% 0.76/1.14 demodaposteriori = 0
% 0.76/1.14 ordereqreflfact = 0
% 0.76/1.14
% 0.76/1.14 litselect = negord
% 0.76/1.14
% 0.76/1.14 maxweight = 15
% 0.76/1.14 maxdepth = 30000
% 0.76/1.14 maxlength = 115
% 0.76/1.14 maxnrvars = 195
% 0.76/1.14 excuselevel = 1
% 0.76/1.14 increasemaxweight = 1
% 0.76/1.14
% 0.76/1.14 maxselected = 10000000
% 0.76/1.14 maxnrclauses = 10000000
% 0.76/1.14
% 0.76/1.14 showgenerated = 0
% 0.76/1.14 showkept = 0
% 0.76/1.14 showselected = 0
% 0.76/1.14 showdeleted = 0
% 0.76/1.14 showresimp = 1
% 0.76/1.14 showstatus = 2000
% 0.76/1.14
% 0.76/1.14 prologoutput = 1
% 0.76/1.14 nrgoals = 5000000
% 0.76/1.14 totalproof = 1
% 0.76/1.14
% 0.76/1.14 Symbols occurring in the translation:
% 0.76/1.14
% 0.76/1.14 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.76/1.14 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.76/1.14 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.76/1.14 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.76/1.14 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.76/1.14 multiply [42, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.76/1.14 inverse [43, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.76/1.14 a1 [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.76/1.14 b1 [45, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 Starting Search:
% 0.76/1.14
% 0.76/1.14 Resimplifying inuse:
% 0.76/1.14 Done
% 0.76/1.14
% 0.76/1.14 Failed to find proof!
% 0.76/1.14 maxweight = 15
% 0.76/1.14 maxnrclauses = 10000000
% 0.76/1.14 Generated: 90
% 0.76/1.14 Kept: 5
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 The strategy used was not complete!
% 0.76/1.14
% 0.76/1.14 Increased maxweight to 16
% 0.76/1.14
% 0.76/1.14 Starting Search:
% 0.76/1.14
% 0.76/1.14 Resimplifying inuse:
% 0.76/1.14 Done
% 0.76/1.14
% 0.76/1.14 Failed to find proof!
% 0.76/1.14 maxweight = 16
% 0.76/1.14 maxnrclauses = 10000000
% 0.76/1.14 Generated: 90
% 0.76/1.14 Kept: 5
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 The strategy used was not complete!
% 0.76/1.14
% 0.76/1.14 Increased maxweight to 17
% 0.76/1.14
% 0.76/1.14 Starting Search:
% 0.76/1.14
% 0.76/1.14 Resimplifying inuse:
% 0.76/1.14 Done
% 0.76/1.14
% 0.76/1.14 Failed to find proof!
% 0.76/1.14 maxweight = 17
% 0.76/1.14 maxnrclauses = 10000000
% 0.76/1.14 Generated: 90
% 0.76/1.14 Kept: 5
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 The strategy used was not complete!
% 0.76/1.14
% 0.76/1.14 Increased maxweight to 18
% 0.76/1.14
% 0.76/1.14 Starting Search:
% 0.76/1.14
% 0.76/1.14 Resimplifying inuse:
% 0.76/1.14 Done
% 0.76/1.14
% 0.76/1.14 Failed to find proof!
% 0.76/1.14 maxweight = 18
% 0.76/1.14 maxnrclauses = 10000000
% 0.76/1.14 Generated: 90
% 0.76/1.14 Kept: 5
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 The strategy used was not complete!
% 0.76/1.14
% 0.76/1.14 Increased maxweight to 19
% 0.76/1.14
% 0.76/1.14 Starting Search:
% 0.76/1.14
% 0.76/1.14 Resimplifying inuse:
% 0.76/1.14 Done
% 0.76/1.14
% 0.76/1.14 Failed to find proof!
% 0.76/1.14 maxweight = 19
% 0.76/1.14 maxnrclauses = 10000000
% 0.76/1.14 Generated: 90
% 0.76/1.14 Kept: 5
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 The strategy used was not complete!
% 0.76/1.14
% 0.76/1.14 Increased maxweight to 20
% 0.76/1.14
% 0.76/1.14 Starting Search:
% 0.76/1.14
% 0.76/1.14 Resimplifying inuse:
% 0.76/1.14 Done
% 0.76/1.14
% 0.76/1.14 Failed to find proof!
% 0.76/1.14 maxweight = 20
% 0.76/1.14 maxnrclauses = 10000000
% 0.76/1.14 Generated: 112
% 0.76/1.14 Kept: 6
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 The strategy used was not complete!
% 0.76/1.14
% 0.76/1.14 Increased maxweight to 21
% 0.76/1.14
% 0.76/1.14 Starting Search:
% 0.76/1.14
% 0.76/1.14 Resimplifying inuse:
% 0.76/1.14 Done
% 0.76/1.14
% 0.76/1.14 Failed to find proof!
% 0.76/1.14 maxweight = 21
% 0.76/1.14 maxnrclauses = 10000000
% 0.76/1.14 Generated: 112
% 0.76/1.14 Kept: 6
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 The strategy used was not complete!
% 0.76/1.14
% 0.76/1.14 Increased maxweight to 22
% 0.76/1.14
% 0.76/1.14 Starting Search:
% 0.76/1.14
% 0.76/1.14 Resimplifying inuse:
% 0.76/1.14 Done
% 0.76/1.14
% 0.76/1.14 Failed to find proof!
% 0.76/1.14 maxweight = 22
% 0.76/1.14 maxnrclauses = 10000000
% 0.76/1.14 Generated: 112
% 0.76/1.14 Kept: 6
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 The strategy used was not complete!
% 0.76/1.14
% 0.76/1.14 Increased maxweight to 23
% 0.76/1.14
% 0.76/1.14 Starting Search:
% 0.76/1.14
% 0.76/1.14 Resimplifying inuse:
% 0.76/1.14 Done
% 0.76/1.14
% 0.76/1.14 Failed to find proof!
% 0.76/1.14 maxweight = 23
% 0.76/1.14 maxnrclauses = 10000000
% 0.76/1.14 Generated: 112
% 0.76/1.14 Kept: 6
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 The strategy used was not complete!
% 0.76/1.14
% 0.76/1.14 Increased maxweight to 24
% 0.76/1.14
% 0.76/1.14 Starting Search:
% 0.76/1.14
% 0.76/1.14 Resimplifying inuse:
% 0.76/1.14 Done
% 0.76/1.14
% 0.76/1.14 Failed to find proof!
% 0.76/1.14 maxweight = 24
% 0.76/1.14 maxnrclauses = 10000000
% 0.76/1.14 Generated: 112
% 0.76/1.14 Kept: 6
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 The strategy used was not complete!
% 0.76/1.14
% 0.76/1.14 Increased maxweight to 25
% 0.76/1.14
% 0.76/1.14 Starting Search:
% 0.76/1.14
% 0.76/1.14 Resimplifying inuse:
% 0.76/1.14 Done
% 0.76/1.14
% 0.76/1.14 Failed to find proof!
% 0.76/1.14 maxweight = 25
% 0.76/1.14 maxnrclauses = 10000000
% 0.76/1.14 Generated: 182
% 0.76/1.14 Kept: 7
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 The strategy used was not complete!
% 0.76/1.14
% 0.76/1.14 Increased maxweight to 26
% 0.76/1.14
% 0.76/1.14 Starting Search:
% 0.76/1.14
% 0.76/1.14 Resimplifying inuse:
% 0.76/1.14 Done
% 0.76/1.14
% 0.76/1.14 Failed to find proof!
% 0.76/1.14 maxweight = 26
% 0.76/1.14 maxnrclauses = 10000000
% 0.76/1.14 Generated: 182
% 0.76/1.14 Kept: 7
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 The strategy used was not complete!
% 0.76/1.14
% 0.76/1.14 Increased maxweight to 27
% 0.76/1.14
% 0.76/1.14 Starting Search:
% 0.76/1.14
% 0.76/1.14 Resimplifying inuse:
% 0.76/1.14 Done
% 0.76/1.14
% 0.76/1.14 Failed to find proof!
% 0.76/1.14 maxweight = 27
% 0.76/1.14 maxnrclauses = 10000000
% 0.76/1.14 Generated: 358
% 0.76/1.14 Kept: 9
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 The strategy used was not complete!
% 0.76/1.14
% 0.76/1.14 Increased maxweight to 28
% 0.76/1.14
% 0.76/1.14 Starting Search:
% 0.76/1.14
% 0.76/1.14 Resimplifying inuse:
% 0.76/1.14 Done
% 0.76/1.14
% 0.76/1.14 Failed to find proof!
% 0.76/1.14 maxweight = 28
% 0.76/1.14 maxnrclauses = 10000000
% 0.76/1.14 Generated: 358
% 0.76/1.14 Kept: 9
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 The strategy used was not complete!
% 0.76/1.14
% 0.76/1.14 Increased maxweight to 29
% 0.76/1.14
% 0.76/1.14 Starting Search:
% 0.76/1.14
% 0.76/1.14 Resimplifying inuse:
% 0.76/1.14 Done
% 0.76/1.14
% 0.76/1.14 Failed to find proof!
% 0.76/1.14 maxweight = 29
% 0.76/1.14 maxnrclauses = 10000000
% 0.76/1.14 Generated: 358
% 0.76/1.14 Kept: 10
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 The strategy used was not complete!
% 0.76/1.14
% 0.76/1.14 Increased maxweight to 30
% 0.76/1.14
% 0.76/1.14 Starting Search:
% 0.76/1.14
% 0.76/1.14 Resimplifying inuse:
% 0.76/1.14 Done
% 0.76/1.14
% 0.76/1.14 Failed to find proof!
% 0.76/1.14 maxweight = 30
% 0.76/1.14 maxnrclauses = 10000000
% 0.76/1.14 Generated: 358
% 0.76/1.14 Kept: 10
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 The strategy used was not complete!
% 0.76/1.14
% 0.76/1.14 Increased maxweight to 31
% 0.76/1.14
% 0.76/1.14 Starting Search:
% 0.76/1.14
% 0.76/1.14 Resimplifying inuse:
% 0.76/1.14 Done
% 0.76/1.14
% 0.76/1.14 Failed to find proof!
% 0.76/1.14 maxweight = 31
% 0.76/1.14 maxnrclauses = 10000000
% 0.76/1.14 Generated: 358
% 0.76/1.14 Kept: 11
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 The strategy used was not complete!
% 0.76/1.14
% 0.76/1.14 Increased maxweight to 32
% 0.76/1.14
% 0.76/1.14 Starting Search:
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 Bliksems!, er is een bewijs:
% 0.76/1.14 % SZS status Unsatisfiable
% 0.76/1.14 % SZS output start Refutation
% 0.76/1.14
% 0.76/1.14 clause( 0, [ =( multiply( multiply( inverse( multiply( X, inverse( multiply(
% 0.76/1.14 Y, Z ) ) ) ), multiply( X, inverse( Z ) ) ), inverse( multiply( inverse(
% 0.76/1.14 Z ), Z ) ) ), Y ) ] )
% 0.76/1.14 .
% 0.76/1.14 clause( 1, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 ),
% 0.76/1.14 a1 ) ) ) ] )
% 0.76/1.14 .
% 0.76/1.14 clause( 3, [ =( multiply( multiply( inverse( multiply( T, inverse( Y ) ) )
% 0.76/1.14 , multiply( T, inverse( inverse( multiply( inverse( Z ), Z ) ) ) ) ),
% 0.76/1.14 inverse( multiply( inverse( inverse( multiply( inverse( Z ), Z ) ) ),
% 0.76/1.14 inverse( multiply( inverse( Z ), Z ) ) ) ) ), multiply( inverse( multiply(
% 0.76/1.14 X, inverse( multiply( Y, Z ) ) ) ), multiply( X, inverse( Z ) ) ) ) ] )
% 0.76/1.14 .
% 0.76/1.14 clause( 4, [ =( multiply( multiply( inverse( multiply( multiply( inverse(
% 0.76/1.14 multiply( X, inverse( multiply( Y, Z ) ) ) ), multiply( X, inverse( Z ) )
% 0.76/1.14 ), inverse( multiply( T, multiply( inverse( Z ), Z ) ) ) ) ), Y ),
% 0.76/1.14 inverse( multiply( inverse( multiply( inverse( Z ), Z ) ), multiply(
% 0.76/1.14 inverse( Z ), Z ) ) ) ), T ) ] )
% 0.76/1.14 .
% 0.76/1.14 clause( 5, [ =( multiply( inverse( multiply( T, inverse( multiply( Y, Z ) )
% 0.76/1.14 ) ), multiply( T, inverse( Z ) ) ), multiply( inverse( multiply( U,
% 0.76/1.14 inverse( multiply( Y, Z ) ) ) ), multiply( U, inverse( Z ) ) ) ) ] )
% 0.76/1.14 .
% 0.76/1.14 clause( 6, [ =( multiply( inverse( multiply( T, inverse( multiply( multiply(
% 0.76/1.14 Y, inverse( multiply( inverse( Z ), Z ) ) ), Z ) ) ) ), multiply( T,
% 0.76/1.14 inverse( Z ) ) ), Y ) ] )
% 0.76/1.14 .
% 0.76/1.14 clause( 10, [ =( multiply( inverse( multiply( T, inverse( Y ) ) ), multiply(
% 0.76/1.14 T, inverse( multiply( X, inverse( Z ) ) ) ) ), multiply( inverse(
% 0.76/1.14 multiply( U, inverse( Y ) ) ), multiply( U, inverse( multiply( X, inverse(
% 0.76/1.14 Z ) ) ) ) ) ) ] )
% 0.76/1.14 .
% 0.76/1.14 clause( 11, [ =( multiply( inverse( multiply( U, inverse( W ) ) ), multiply(
% 0.76/1.14 U, inverse( T ) ) ), multiply( inverse( multiply( V0, inverse( W ) ) ),
% 0.76/1.14 multiply( V0, inverse( T ) ) ) ) ] )
% 0.76/1.14 .
% 0.76/1.14 clause( 14, [ =( multiply( inverse( Y ), multiply( multiply( inverse(
% 0.76/1.14 multiply( X, inverse( multiply( Y, Z ) ) ) ), multiply( X, inverse( Z ) )
% 0.76/1.14 ), inverse( T ) ) ), multiply( inverse( multiply( U, inverse( multiply(
% 0.76/1.14 inverse( Z ), Z ) ) ) ), multiply( U, inverse( T ) ) ) ) ] )
% 0.76/1.14 .
% 0.76/1.14 clause( 18, [ =( multiply( inverse( Y ), Y ), multiply( inverse( multiply(
% 0.76/1.14 T, inverse( multiply( inverse( Z ), Z ) ) ) ), multiply( T, inverse(
% 0.76/1.14 multiply( inverse( Z ), Z ) ) ) ) ) ] )
% 0.76/1.14 .
% 0.76/1.14 clause( 19, [ =( multiply( inverse( T ), T ), multiply( inverse( Z ), Z ) )
% 0.76/1.14 ] )
% 0.76/1.14 .
% 0.76/1.14 clause( 39, [ ~( =( multiply( inverse( X ), X ), multiply( inverse( a1 ),
% 0.76/1.14 a1 ) ) ) ] )
% 0.76/1.14 .
% 0.76/1.14 clause( 40, [] )
% 0.76/1.14 .
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 % SZS output end Refutation
% 0.76/1.14 found a proof!
% 0.76/1.14
% 0.76/1.14 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.76/1.14
% 0.76/1.14 initialclauses(
% 0.76/1.14 [ clause( 42, [ =( multiply( multiply( inverse( multiply( X, inverse(
% 0.76/1.14 multiply( Y, Z ) ) ) ), multiply( X, inverse( Z ) ) ), inverse( multiply(
% 0.76/1.14 inverse( Z ), Z ) ) ), Y ) ] )
% 0.76/1.14 , clause( 43, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1
% 0.76/1.14 ), b1 ) ) ) ] )
% 0.76/1.14 ] ).
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 subsumption(
% 0.76/1.14 clause( 0, [ =( multiply( multiply( inverse( multiply( X, inverse( multiply(
% 0.76/1.14 Y, Z ) ) ) ), multiply( X, inverse( Z ) ) ), inverse( multiply( inverse(
% 0.76/1.14 Z ), Z ) ) ), Y ) ] )
% 0.76/1.14 , clause( 42, [ =( multiply( multiply( inverse( multiply( X, inverse(
% 0.76/1.14 multiply( Y, Z ) ) ) ), multiply( X, inverse( Z ) ) ), inverse( multiply(
% 0.76/1.14 inverse( Z ), Z ) ) ), Y ) ] )
% 0.76/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 eqswap(
% 0.76/1.14 clause( 46, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 )
% 0.76/1.14 , a1 ) ) ) ] )
% 0.76/1.14 , clause( 43, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1
% 0.76/1.14 ), b1 ) ) ) ] )
% 0.76/1.14 , 0, substitution( 0, [] )).
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 subsumption(
% 0.76/1.14 clause( 1, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 ),
% 0.76/1.14 a1 ) ) ) ] )
% 0.76/1.14 , clause( 46, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1
% 0.76/1.14 ), a1 ) ) ) ] )
% 0.76/1.14 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 eqswap(
% 0.76/1.14 clause( 47, [ =( Y, multiply( multiply( inverse( multiply( X, inverse(
% 0.76/1.14 multiply( Y, Z ) ) ) ), multiply( X, inverse( Z ) ) ), inverse( multiply(
% 0.76/1.14 inverse( Z ), Z ) ) ) ) ] )
% 0.76/1.14 , clause( 0, [ =( multiply( multiply( inverse( multiply( X, inverse(
% 0.76/1.14 multiply( Y, Z ) ) ) ), multiply( X, inverse( Z ) ) ), inverse( multiply(
% 0.76/1.14 inverse( Z ), Z ) ) ), Y ) ] )
% 0.76/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 paramod(
% 0.76/1.14 clause( 51, [ =( multiply( inverse( multiply( X, inverse( multiply( Y, Z )
% 0.76/1.14 ) ) ), multiply( X, inverse( Z ) ) ), multiply( multiply( inverse(
% 0.76/1.14 multiply( T, inverse( Y ) ) ), multiply( T, inverse( inverse( multiply(
% 0.76/1.14 inverse( Z ), Z ) ) ) ) ), inverse( multiply( inverse( inverse( multiply(
% 0.76/1.14 inverse( Z ), Z ) ) ), inverse( multiply( inverse( Z ), Z ) ) ) ) ) ) ]
% 0.76/1.14 )
% 0.76/1.14 , clause( 0, [ =( multiply( multiply( inverse( multiply( X, inverse(
% 0.76/1.14 multiply( Y, Z ) ) ) ), multiply( X, inverse( Z ) ) ), inverse( multiply(
% 0.76/1.14 inverse( Z ), Z ) ) ), Y ) ] )
% 0.76/1.14 , 0, clause( 47, [ =( Y, multiply( multiply( inverse( multiply( X, inverse(
% 0.76/1.14 multiply( Y, Z ) ) ) ), multiply( X, inverse( Z ) ) ), inverse( multiply(
% 0.76/1.14 inverse( Z ), Z ) ) ) ) ] )
% 0.76/1.14 , 0, 19, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.14 substitution( 1, [ :=( X, T ), :=( Y, multiply( inverse( multiply( X,
% 0.76/1.14 inverse( multiply( Y, Z ) ) ) ), multiply( X, inverse( Z ) ) ) ), :=( Z,
% 0.76/1.14 inverse( multiply( inverse( Z ), Z ) ) )] )).
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 eqswap(
% 0.76/1.14 clause( 54, [ =( multiply( multiply( inverse( multiply( T, inverse( Y ) ) )
% 0.76/1.14 , multiply( T, inverse( inverse( multiply( inverse( Z ), Z ) ) ) ) ),
% 0.76/1.14 inverse( multiply( inverse( inverse( multiply( inverse( Z ), Z ) ) ),
% 0.76/1.14 inverse( multiply( inverse( Z ), Z ) ) ) ) ), multiply( inverse( multiply(
% 0.76/1.14 X, inverse( multiply( Y, Z ) ) ) ), multiply( X, inverse( Z ) ) ) ) ] )
% 0.76/1.14 , clause( 51, [ =( multiply( inverse( multiply( X, inverse( multiply( Y, Z
% 0.76/1.14 ) ) ) ), multiply( X, inverse( Z ) ) ), multiply( multiply( inverse(
% 0.76/1.14 multiply( T, inverse( Y ) ) ), multiply( T, inverse( inverse( multiply(
% 0.76/1.14 inverse( Z ), Z ) ) ) ) ), inverse( multiply( inverse( inverse( multiply(
% 0.76/1.14 inverse( Z ), Z ) ) ), inverse( multiply( inverse( Z ), Z ) ) ) ) ) ) ]
% 0.76/1.14 )
% 0.76/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.76/1.14 ).
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 subsumption(
% 0.76/1.14 clause( 3, [ =( multiply( multiply( inverse( multiply( T, inverse( Y ) ) )
% 0.76/1.14 , multiply( T, inverse( inverse( multiply( inverse( Z ), Z ) ) ) ) ),
% 0.76/1.14 inverse( multiply( inverse( inverse( multiply( inverse( Z ), Z ) ) ),
% 0.76/1.14 inverse( multiply( inverse( Z ), Z ) ) ) ) ), multiply( inverse( multiply(
% 0.76/1.14 X, inverse( multiply( Y, Z ) ) ) ), multiply( X, inverse( Z ) ) ) ) ] )
% 0.76/1.14 , clause( 54, [ =( multiply( multiply( inverse( multiply( T, inverse( Y ) )
% 0.76/1.14 ), multiply( T, inverse( inverse( multiply( inverse( Z ), Z ) ) ) ) ),
% 0.76/1.14 inverse( multiply( inverse( inverse( multiply( inverse( Z ), Z ) ) ),
% 0.76/1.14 inverse( multiply( inverse( Z ), Z ) ) ) ) ), multiply( inverse( multiply(
% 0.76/1.14 X, inverse( multiply( Y, Z ) ) ) ), multiply( X, inverse( Z ) ) ) ) ] )
% 0.76/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.76/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 eqswap(
% 0.76/1.14 clause( 56, [ =( Y, multiply( multiply( inverse( multiply( X, inverse(
% 0.76/1.14 multiply( Y, Z ) ) ) ), multiply( X, inverse( Z ) ) ), inverse( multiply(
% 0.76/1.14 inverse( Z ), Z ) ) ) ) ] )
% 0.76/1.14 , clause( 0, [ =( multiply( multiply( inverse( multiply( X, inverse(
% 0.76/1.14 multiply( Y, Z ) ) ) ), multiply( X, inverse( Z ) ) ), inverse( multiply(
% 0.76/1.14 inverse( Z ), Z ) ) ), Y ) ] )
% 0.76/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 paramod(
% 0.76/1.14 clause( 61, [ =( X, multiply( multiply( inverse( multiply( multiply(
% 0.76/1.14 inverse( multiply( Y, inverse( multiply( Z, T ) ) ) ), multiply( Y,
% 0.76/1.14 inverse( T ) ) ), inverse( multiply( X, multiply( inverse( T ), T ) ) ) )
% 0.76/1.14 ), Z ), inverse( multiply( inverse( multiply( inverse( T ), T ) ),
% 0.76/1.14 multiply( inverse( T ), T ) ) ) ) ) ] )
% 0.76/1.14 , clause( 0, [ =( multiply( multiply( inverse( multiply( X, inverse(
% 0.76/1.14 multiply( Y, Z ) ) ) ), multiply( X, inverse( Z ) ) ), inverse( multiply(
% 0.76/1.14 inverse( Z ), Z ) ) ), Y ) ] )
% 0.76/1.14 , 0, clause( 56, [ =( Y, multiply( multiply( inverse( multiply( X, inverse(
% 0.76/1.14 multiply( Y, Z ) ) ) ), multiply( X, inverse( Z ) ) ), inverse( multiply(
% 0.76/1.14 inverse( Z ), Z ) ) ) ) ] )
% 0.76/1.14 , 0, 25, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T )] ),
% 0.76/1.14 substitution( 1, [ :=( X, multiply( inverse( multiply( Y, inverse(
% 0.76/1.14 multiply( Z, T ) ) ) ), multiply( Y, inverse( T ) ) ) ), :=( Y, X ), :=(
% 0.76/1.14 Z, multiply( inverse( T ), T ) )] )).
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 eqswap(
% 0.76/1.14 clause( 64, [ =( multiply( multiply( inverse( multiply( multiply( inverse(
% 0.76/1.14 multiply( Y, inverse( multiply( Z, T ) ) ) ), multiply( Y, inverse( T ) )
% 0.76/1.14 ), inverse( multiply( X, multiply( inverse( T ), T ) ) ) ) ), Z ),
% 0.76/1.14 inverse( multiply( inverse( multiply( inverse( T ), T ) ), multiply(
% 0.76/1.14 inverse( T ), T ) ) ) ), X ) ] )
% 0.76/1.14 , clause( 61, [ =( X, multiply( multiply( inverse( multiply( multiply(
% 0.76/1.14 inverse( multiply( Y, inverse( multiply( Z, T ) ) ) ), multiply( Y,
% 0.76/1.14 inverse( T ) ) ), inverse( multiply( X, multiply( inverse( T ), T ) ) ) )
% 0.76/1.14 ), Z ), inverse( multiply( inverse( multiply( inverse( T ), T ) ),
% 0.76/1.14 multiply( inverse( T ), T ) ) ) ) ) ] )
% 0.76/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.76/1.14 ).
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 subsumption(
% 0.76/1.14 clause( 4, [ =( multiply( multiply( inverse( multiply( multiply( inverse(
% 0.76/1.14 multiply( X, inverse( multiply( Y, Z ) ) ) ), multiply( X, inverse( Z ) )
% 0.76/1.14 ), inverse( multiply( T, multiply( inverse( Z ), Z ) ) ) ) ), Y ),
% 0.76/1.14 inverse( multiply( inverse( multiply( inverse( Z ), Z ) ), multiply(
% 0.76/1.14 inverse( Z ), Z ) ) ) ), T ) ] )
% 0.76/1.14 , clause( 64, [ =( multiply( multiply( inverse( multiply( multiply( inverse(
% 0.76/1.14 multiply( Y, inverse( multiply( Z, T ) ) ) ), multiply( Y, inverse( T ) )
% 0.76/1.14 ), inverse( multiply( X, multiply( inverse( T ), T ) ) ) ) ), Z ),
% 0.76/1.14 inverse( multiply( inverse( multiply( inverse( T ), T ) ), multiply(
% 0.76/1.14 inverse( T ), T ) ) ) ), X ) ] )
% 0.76/1.14 , substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] ),
% 0.76/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 eqswap(
% 0.76/1.14 clause( 65, [ =( multiply( inverse( multiply( T, inverse( multiply( Y, Z )
% 0.76/1.14 ) ) ), multiply( T, inverse( Z ) ) ), multiply( multiply( inverse(
% 0.76/1.14 multiply( X, inverse( Y ) ) ), multiply( X, inverse( inverse( multiply(
% 0.76/1.14 inverse( Z ), Z ) ) ) ) ), inverse( multiply( inverse( inverse( multiply(
% 0.76/1.14 inverse( Z ), Z ) ) ), inverse( multiply( inverse( Z ), Z ) ) ) ) ) ) ]
% 0.76/1.14 )
% 0.76/1.14 , clause( 3, [ =( multiply( multiply( inverse( multiply( T, inverse( Y ) )
% 0.76/1.14 ), multiply( T, inverse( inverse( multiply( inverse( Z ), Z ) ) ) ) ),
% 0.76/1.14 inverse( multiply( inverse( inverse( multiply( inverse( Z ), Z ) ) ),
% 0.76/1.14 inverse( multiply( inverse( Z ), Z ) ) ) ) ), multiply( inverse( multiply(
% 0.76/1.14 X, inverse( multiply( Y, Z ) ) ) ), multiply( X, inverse( Z ) ) ) ) ] )
% 0.76/1.14 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] )
% 0.76/1.14 ).
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 paramod(
% 0.76/1.14 clause( 83, [ =( multiply( inverse( multiply( X, inverse( multiply( Y, Z )
% 0.76/1.14 ) ) ), multiply( X, inverse( Z ) ) ), multiply( inverse( multiply( U,
% 0.76/1.14 inverse( multiply( Y, Z ) ) ) ), multiply( U, inverse( Z ) ) ) ) ] )
% 0.76/1.14 , clause( 3, [ =( multiply( multiply( inverse( multiply( T, inverse( Y ) )
% 0.76/1.14 ), multiply( T, inverse( inverse( multiply( inverse( Z ), Z ) ) ) ) ),
% 0.76/1.14 inverse( multiply( inverse( inverse( multiply( inverse( Z ), Z ) ) ),
% 0.76/1.14 inverse( multiply( inverse( Z ), Z ) ) ) ) ), multiply( inverse( multiply(
% 0.76/1.14 X, inverse( multiply( Y, Z ) ) ) ), multiply( X, inverse( Z ) ) ) ) ] )
% 0.76/1.14 , 0, clause( 65, [ =( multiply( inverse( multiply( T, inverse( multiply( Y
% 0.76/1.14 , Z ) ) ) ), multiply( T, inverse( Z ) ) ), multiply( multiply( inverse(
% 0.76/1.14 multiply( X, inverse( Y ) ) ), multiply( X, inverse( inverse( multiply(
% 0.76/1.14 inverse( Z ), Z ) ) ) ) ), inverse( multiply( inverse( inverse( multiply(
% 0.76/1.14 inverse( Z ), Z ) ) ), inverse( multiply( inverse( Z ), Z ) ) ) ) ) ) ]
% 0.76/1.14 )
% 0.76/1.14 , 0, 13, substitution( 0, [ :=( X, U ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.76/1.14 , substitution( 1, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] )
% 0.76/1.14 ).
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 subsumption(
% 0.76/1.14 clause( 5, [ =( multiply( inverse( multiply( T, inverse( multiply( Y, Z ) )
% 0.76/1.14 ) ), multiply( T, inverse( Z ) ) ), multiply( inverse( multiply( U,
% 0.76/1.14 inverse( multiply( Y, Z ) ) ) ), multiply( U, inverse( Z ) ) ) ) ] )
% 0.76/1.14 , clause( 83, [ =( multiply( inverse( multiply( X, inverse( multiply( Y, Z
% 0.76/1.14 ) ) ) ), multiply( X, inverse( Z ) ) ), multiply( inverse( multiply( U,
% 0.76/1.14 inverse( multiply( Y, Z ) ) ) ), multiply( U, inverse( Z ) ) ) ) ] )
% 0.76/1.14 , substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, W ), :=( U
% 0.76/1.14 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 eqswap(
% 0.76/1.14 clause( 89, [ =( multiply( inverse( multiply( T, inverse( multiply( Y, Z )
% 0.76/1.14 ) ) ), multiply( T, inverse( Z ) ) ), multiply( multiply( inverse(
% 0.76/1.14 multiply( X, inverse( Y ) ) ), multiply( X, inverse( inverse( multiply(
% 0.76/1.14 inverse( Z ), Z ) ) ) ) ), inverse( multiply( inverse( inverse( multiply(
% 0.76/1.14 inverse( Z ), Z ) ) ), inverse( multiply( inverse( Z ), Z ) ) ) ) ) ) ]
% 0.76/1.14 )
% 0.76/1.14 , clause( 3, [ =( multiply( multiply( inverse( multiply( T, inverse( Y ) )
% 0.76/1.14 ), multiply( T, inverse( inverse( multiply( inverse( Z ), Z ) ) ) ) ),
% 0.76/1.14 inverse( multiply( inverse( inverse( multiply( inverse( Z ), Z ) ) ),
% 0.76/1.14 inverse( multiply( inverse( Z ), Z ) ) ) ) ), multiply( inverse( multiply(
% 0.76/1.14 X, inverse( multiply( Y, Z ) ) ) ), multiply( X, inverse( Z ) ) ) ) ] )
% 0.76/1.14 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] )
% 0.76/1.14 ).
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 paramod(
% 0.76/1.14 clause( 102, [ =( multiply( inverse( multiply( X, inverse( multiply(
% 0.76/1.14 multiply( Y, inverse( multiply( inverse( Z ), Z ) ) ), Z ) ) ) ),
% 0.76/1.14 multiply( X, inverse( Z ) ) ), Y ) ] )
% 0.76/1.14 , clause( 0, [ =( multiply( multiply( inverse( multiply( X, inverse(
% 0.76/1.14 multiply( Y, Z ) ) ) ), multiply( X, inverse( Z ) ) ), inverse( multiply(
% 0.76/1.14 inverse( Z ), Z ) ) ), Y ) ] )
% 0.76/1.14 , 0, clause( 89, [ =( multiply( inverse( multiply( T, inverse( multiply( Y
% 0.76/1.14 , Z ) ) ) ), multiply( T, inverse( Z ) ) ), multiply( multiply( inverse(
% 0.76/1.14 multiply( X, inverse( Y ) ) ), multiply( X, inverse( inverse( multiply(
% 0.76/1.14 inverse( Z ), Z ) ) ) ) ), inverse( multiply( inverse( inverse( multiply(
% 0.76/1.14 inverse( Z ), Z ) ) ), inverse( multiply( inverse( Z ), Z ) ) ) ) ) ) ]
% 0.76/1.14 )
% 0.76/1.14 , 0, 19, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, inverse(
% 0.76/1.14 multiply( inverse( Z ), Z ) ) )] ), substitution( 1, [ :=( X, T ), :=( Y
% 0.76/1.14 , multiply( Y, inverse( multiply( inverse( Z ), Z ) ) ) ), :=( Z, Z ),
% 0.76/1.14 :=( T, X )] )).
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 subsumption(
% 0.76/1.14 clause( 6, [ =( multiply( inverse( multiply( T, inverse( multiply( multiply(
% 0.76/1.14 Y, inverse( multiply( inverse( Z ), Z ) ) ), Z ) ) ) ), multiply( T,
% 0.76/1.14 inverse( Z ) ) ), Y ) ] )
% 0.76/1.14 , clause( 102, [ =( multiply( inverse( multiply( X, inverse( multiply(
% 0.76/1.14 multiply( Y, inverse( multiply( inverse( Z ), Z ) ) ), Z ) ) ) ),
% 0.76/1.14 multiply( X, inverse( Z ) ) ), Y ) ] )
% 0.76/1.14 , substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 paramod(
% 0.76/1.14 clause( 114, [ =( multiply( inverse( multiply( X, inverse( multiply(
% 0.76/1.14 inverse( multiply( Y, inverse( multiply( multiply( Z, inverse( multiply(
% 0.76/1.14 inverse( T ), T ) ) ), T ) ) ) ), multiply( Y, inverse( T ) ) ) ) ) ),
% 0.76/1.14 multiply( X, inverse( multiply( Y, inverse( T ) ) ) ) ), multiply(
% 0.76/1.14 inverse( multiply( U, inverse( Z ) ) ), multiply( U, inverse( multiply( Y
% 0.76/1.14 , inverse( T ) ) ) ) ) ) ] )
% 0.76/1.14 , clause( 6, [ =( multiply( inverse( multiply( T, inverse( multiply(
% 0.76/1.14 multiply( Y, inverse( multiply( inverse( Z ), Z ) ) ), Z ) ) ) ),
% 0.76/1.14 multiply( T, inverse( Z ) ) ), Y ) ] )
% 0.76/1.14 , 0, clause( 5, [ =( multiply( inverse( multiply( T, inverse( multiply( Y,
% 0.76/1.14 Z ) ) ) ), multiply( T, inverse( Z ) ) ), multiply( inverse( multiply( U
% 0.76/1.14 , inverse( multiply( Y, Z ) ) ) ), multiply( U, inverse( Z ) ) ) ) ] )
% 0.76/1.14 , 0, 36, substitution( 0, [ :=( X, W ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 0.76/1.14 , substitution( 1, [ :=( X, V0 ), :=( Y, inverse( multiply( Y, inverse(
% 0.76/1.14 multiply( multiply( Z, inverse( multiply( inverse( T ), T ) ) ), T ) ) )
% 0.76/1.14 ) ), :=( Z, multiply( Y, inverse( T ) ) ), :=( T, X ), :=( U, U )] )
% 0.76/1.14 ).
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 paramod(
% 0.76/1.14 clause( 117, [ =( multiply( inverse( multiply( X, inverse( Z ) ) ),
% 0.76/1.14 multiply( X, inverse( multiply( Y, inverse( T ) ) ) ) ), multiply(
% 0.76/1.14 inverse( multiply( U, inverse( Z ) ) ), multiply( U, inverse( multiply( Y
% 0.76/1.14 , inverse( T ) ) ) ) ) ) ] )
% 0.76/1.14 , clause( 6, [ =( multiply( inverse( multiply( T, inverse( multiply(
% 0.76/1.14 multiply( Y, inverse( multiply( inverse( Z ), Z ) ) ), Z ) ) ) ),
% 0.76/1.14 multiply( T, inverse( Z ) ) ), Y ) ] )
% 0.76/1.14 , 0, clause( 114, [ =( multiply( inverse( multiply( X, inverse( multiply(
% 0.76/1.14 inverse( multiply( Y, inverse( multiply( multiply( Z, inverse( multiply(
% 0.76/1.14 inverse( T ), T ) ) ), T ) ) ) ), multiply( Y, inverse( T ) ) ) ) ) ),
% 0.76/1.14 multiply( X, inverse( multiply( Y, inverse( T ) ) ) ) ), multiply(
% 0.76/1.14 inverse( multiply( U, inverse( Z ) ) ), multiply( U, inverse( multiply( Y
% 0.76/1.14 , inverse( T ) ) ) ) ) ) ] )
% 0.76/1.14 , 0, 6, substitution( 0, [ :=( X, W ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 0.76/1.14 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=(
% 0.76/1.14 U, U )] )).
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 subsumption(
% 0.76/1.14 clause( 10, [ =( multiply( inverse( multiply( T, inverse( Y ) ) ), multiply(
% 0.76/1.14 T, inverse( multiply( X, inverse( Z ) ) ) ) ), multiply( inverse(
% 0.76/1.14 multiply( U, inverse( Y ) ) ), multiply( U, inverse( multiply( X, inverse(
% 0.76/1.14 Z ) ) ) ) ) ) ] )
% 0.76/1.14 , clause( 117, [ =( multiply( inverse( multiply( X, inverse( Z ) ) ),
% 0.76/1.14 multiply( X, inverse( multiply( Y, inverse( T ) ) ) ) ), multiply(
% 0.76/1.14 inverse( multiply( U, inverse( Z ) ) ), multiply( U, inverse( multiply( Y
% 0.76/1.14 , inverse( T ) ) ) ) ) ) ] )
% 0.76/1.14 , substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=( U
% 0.76/1.14 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 paramod(
% 0.76/1.14 clause( 145, [ =( multiply( inverse( multiply( X, inverse( Y ) ) ),
% 0.76/1.14 multiply( X, inverse( multiply( multiply( inverse( multiply( multiply(
% 0.76/1.14 inverse( multiply( Z, inverse( multiply( T, U ) ) ) ), multiply( Z,
% 0.76/1.14 inverse( U ) ) ), inverse( multiply( W, multiply( inverse( U ), U ) ) ) )
% 0.76/1.14 ), T ), inverse( multiply( inverse( multiply( inverse( U ), U ) ),
% 0.76/1.14 multiply( inverse( U ), U ) ) ) ) ) ) ), multiply( inverse( multiply( V0
% 0.76/1.14 , inverse( Y ) ) ), multiply( V0, inverse( W ) ) ) ) ] )
% 0.76/1.14 , clause( 4, [ =( multiply( multiply( inverse( multiply( multiply( inverse(
% 0.76/1.14 multiply( X, inverse( multiply( Y, Z ) ) ) ), multiply( X, inverse( Z ) )
% 0.76/1.14 ), inverse( multiply( T, multiply( inverse( Z ), Z ) ) ) ) ), Y ),
% 0.76/1.14 inverse( multiply( inverse( multiply( inverse( Z ), Z ) ), multiply(
% 0.76/1.14 inverse( Z ), Z ) ) ) ), T ) ] )
% 0.76/1.14 , 0, clause( 10, [ =( multiply( inverse( multiply( T, inverse( Y ) ) ),
% 0.76/1.14 multiply( T, inverse( multiply( X, inverse( Z ) ) ) ) ), multiply(
% 0.76/1.14 inverse( multiply( U, inverse( Y ) ) ), multiply( U, inverse( multiply( X
% 0.76/1.14 , inverse( Z ) ) ) ) ) ) ] )
% 0.76/1.14 , 0, 54, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, W )] )
% 0.76/1.14 , substitution( 1, [ :=( X, multiply( inverse( multiply( multiply(
% 0.76/1.14 inverse( multiply( Z, inverse( multiply( T, U ) ) ) ), multiply( Z,
% 0.76/1.14 inverse( U ) ) ), inverse( multiply( W, multiply( inverse( U ), U ) ) ) )
% 0.76/1.14 ), T ) ), :=( Y, Y ), :=( Z, multiply( inverse( multiply( inverse( U ),
% 0.76/1.14 U ) ), multiply( inverse( U ), U ) ) ), :=( T, X ), :=( U, V0 )] )).
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 paramod(
% 0.76/1.14 clause( 147, [ =( multiply( inverse( multiply( X, inverse( Y ) ) ),
% 0.76/1.14 multiply( X, inverse( W ) ) ), multiply( inverse( multiply( V0, inverse(
% 0.76/1.14 Y ) ) ), multiply( V0, inverse( W ) ) ) ) ] )
% 0.76/1.14 , clause( 4, [ =( multiply( multiply( inverse( multiply( multiply( inverse(
% 0.76/1.14 multiply( X, inverse( multiply( Y, Z ) ) ) ), multiply( X, inverse( Z ) )
% 0.76/1.14 ), inverse( multiply( T, multiply( inverse( Z ), Z ) ) ) ) ), Y ),
% 0.76/1.14 inverse( multiply( inverse( multiply( inverse( Z ), Z ) ), multiply(
% 0.76/1.14 inverse( Z ), Z ) ) ) ), T ) ] )
% 0.76/1.14 , 0, clause( 145, [ =( multiply( inverse( multiply( X, inverse( Y ) ) ),
% 0.76/1.14 multiply( X, inverse( multiply( multiply( inverse( multiply( multiply(
% 0.76/1.14 inverse( multiply( Z, inverse( multiply( T, U ) ) ) ), multiply( Z,
% 0.76/1.14 inverse( U ) ) ), inverse( multiply( W, multiply( inverse( U ), U ) ) ) )
% 0.76/1.14 ), T ), inverse( multiply( inverse( multiply( inverse( U ), U ) ),
% 0.76/1.14 multiply( inverse( U ), U ) ) ) ) ) ) ), multiply( inverse( multiply( V0
% 0.76/1.14 , inverse( Y ) ) ), multiply( V0, inverse( W ) ) ) ) ] )
% 0.76/1.14 , 0, 10, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, W )] )
% 0.76/1.14 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=(
% 0.76/1.14 U, U ), :=( W, W ), :=( V0, V0 )] )).
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 subsumption(
% 0.76/1.14 clause( 11, [ =( multiply( inverse( multiply( U, inverse( W ) ) ), multiply(
% 0.76/1.14 U, inverse( T ) ) ), multiply( inverse( multiply( V0, inverse( W ) ) ),
% 0.76/1.14 multiply( V0, inverse( T ) ) ) ) ] )
% 0.76/1.14 , clause( 147, [ =( multiply( inverse( multiply( X, inverse( Y ) ) ),
% 0.76/1.14 multiply( X, inverse( W ) ) ), multiply( inverse( multiply( V0, inverse(
% 0.76/1.14 Y ) ) ), multiply( V0, inverse( W ) ) ) ) ] )
% 0.76/1.14 , substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, V1 ), :=( T, V2 ), :=(
% 0.76/1.14 U, V3 ), :=( W, T ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 )] )
% 0.76/1.14 ).
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 paramod(
% 0.76/1.14 clause( 156, [ =( multiply( inverse( Y ), multiply( multiply( inverse(
% 0.76/1.14 multiply( X, inverse( multiply( Y, Z ) ) ) ), multiply( X, inverse( Z ) )
% 0.76/1.14 ), inverse( T ) ) ), multiply( inverse( multiply( U, inverse( multiply(
% 0.76/1.14 inverse( Z ), Z ) ) ) ), multiply( U, inverse( T ) ) ) ) ] )
% 0.76/1.14 , clause( 0, [ =( multiply( multiply( inverse( multiply( X, inverse(
% 0.76/1.14 multiply( Y, Z ) ) ) ), multiply( X, inverse( Z ) ) ), inverse( multiply(
% 0.76/1.14 inverse( Z ), Z ) ) ), Y ) ] )
% 0.76/1.14 , 0, clause( 11, [ =( multiply( inverse( multiply( U, inverse( W ) ) ),
% 0.76/1.14 multiply( U, inverse( T ) ) ), multiply( inverse( multiply( V0, inverse(
% 0.76/1.14 W ) ) ), multiply( V0, inverse( T ) ) ) ) ] )
% 0.76/1.14 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.14 substitution( 1, [ :=( X, W ), :=( Y, V0 ), :=( Z, V1 ), :=( T, T ), :=(
% 0.76/1.14 U, multiply( inverse( multiply( X, inverse( multiply( Y, Z ) ) ) ),
% 0.76/1.14 multiply( X, inverse( Z ) ) ) ), :=( W, multiply( inverse( Z ), Z ) ),
% 0.76/1.14 :=( V0, U )] )).
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 subsumption(
% 0.76/1.14 clause( 14, [ =( multiply( inverse( Y ), multiply( multiply( inverse(
% 0.76/1.14 multiply( X, inverse( multiply( Y, Z ) ) ) ), multiply( X, inverse( Z ) )
% 0.76/1.14 ), inverse( T ) ) ), multiply( inverse( multiply( U, inverse( multiply(
% 0.76/1.14 inverse( Z ), Z ) ) ) ), multiply( U, inverse( T ) ) ) ) ] )
% 0.76/1.14 , clause( 156, [ =( multiply( inverse( Y ), multiply( multiply( inverse(
% 0.76/1.14 multiply( X, inverse( multiply( Y, Z ) ) ) ), multiply( X, inverse( Z ) )
% 0.76/1.14 ), inverse( T ) ) ), multiply( inverse( multiply( U, inverse( multiply(
% 0.76/1.14 inverse( Z ), Z ) ) ) ), multiply( U, inverse( T ) ) ) ) ] )
% 0.76/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.76/1.14 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 eqswap(
% 0.76/1.14 clause( 161, [ =( multiply( inverse( multiply( U, inverse( multiply(
% 0.76/1.14 inverse( Z ), Z ) ) ) ), multiply( U, inverse( T ) ) ), multiply( inverse(
% 0.76/1.14 X ), multiply( multiply( inverse( multiply( Y, inverse( multiply( X, Z )
% 0.76/1.14 ) ) ), multiply( Y, inverse( Z ) ) ), inverse( T ) ) ) ) ] )
% 0.76/1.14 , clause( 14, [ =( multiply( inverse( Y ), multiply( multiply( inverse(
% 0.76/1.14 multiply( X, inverse( multiply( Y, Z ) ) ) ), multiply( X, inverse( Z ) )
% 0.76/1.14 ), inverse( T ) ) ), multiply( inverse( multiply( U, inverse( multiply(
% 0.76/1.14 inverse( Z ), Z ) ) ) ), multiply( U, inverse( T ) ) ) ) ] )
% 0.76/1.14 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, T ),
% 0.76/1.14 :=( U, U )] )).
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 paramod(
% 0.76/1.14 clause( 172, [ =( multiply( inverse( multiply( X, inverse( multiply(
% 0.76/1.14 inverse( Y ), Y ) ) ) ), multiply( X, inverse( multiply( inverse( Y ), Y
% 0.76/1.14 ) ) ) ), multiply( inverse( Z ), Z ) ) ] )
% 0.76/1.14 , clause( 0, [ =( multiply( multiply( inverse( multiply( X, inverse(
% 0.76/1.14 multiply( Y, Z ) ) ) ), multiply( X, inverse( Z ) ) ), inverse( multiply(
% 0.76/1.14 inverse( Z ), Z ) ) ), Y ) ] )
% 0.76/1.14 , 0, clause( 161, [ =( multiply( inverse( multiply( U, inverse( multiply(
% 0.76/1.14 inverse( Z ), Z ) ) ) ), multiply( U, inverse( T ) ) ), multiply( inverse(
% 0.76/1.14 X ), multiply( multiply( inverse( multiply( Y, inverse( multiply( X, Z )
% 0.76/1.14 ) ) ), multiply( Y, inverse( Z ) ) ), inverse( T ) ) ) ) ] )
% 0.76/1.14 , 0, 20, substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, Y )] ),
% 0.76/1.14 substitution( 1, [ :=( X, Z ), :=( Y, T ), :=( Z, Y ), :=( T, multiply(
% 0.76/1.14 inverse( Y ), Y ) ), :=( U, X )] )).
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 eqswap(
% 0.76/1.14 clause( 177, [ =( multiply( inverse( Z ), Z ), multiply( inverse( multiply(
% 0.76/1.14 X, inverse( multiply( inverse( Y ), Y ) ) ) ), multiply( X, inverse(
% 0.76/1.14 multiply( inverse( Y ), Y ) ) ) ) ) ] )
% 0.76/1.14 , clause( 172, [ =( multiply( inverse( multiply( X, inverse( multiply(
% 0.76/1.14 inverse( Y ), Y ) ) ) ), multiply( X, inverse( multiply( inverse( Y ), Y
% 0.76/1.14 ) ) ) ), multiply( inverse( Z ), Z ) ) ] )
% 0.76/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 subsumption(
% 0.76/1.14 clause( 18, [ =( multiply( inverse( Y ), Y ), multiply( inverse( multiply(
% 0.76/1.14 T, inverse( multiply( inverse( Z ), Z ) ) ) ), multiply( T, inverse(
% 0.76/1.14 multiply( inverse( Z ), Z ) ) ) ) ) ] )
% 0.76/1.14 , clause( 177, [ =( multiply( inverse( Z ), Z ), multiply( inverse(
% 0.76/1.14 multiply( X, inverse( multiply( inverse( Y ), Y ) ) ) ), multiply( X,
% 0.76/1.14 inverse( multiply( inverse( Y ), Y ) ) ) ) ) ] )
% 0.76/1.14 , substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, Y )] ),
% 0.76/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 eqswap(
% 0.76/1.14 clause( 181, [ =( multiply( inverse( multiply( Y, inverse( multiply(
% 0.76/1.14 inverse( Z ), Z ) ) ) ), multiply( Y, inverse( multiply( inverse( Z ), Z
% 0.76/1.14 ) ) ) ), multiply( inverse( X ), X ) ) ] )
% 0.76/1.14 , clause( 18, [ =( multiply( inverse( Y ), Y ), multiply( inverse( multiply(
% 0.76/1.14 T, inverse( multiply( inverse( Z ), Z ) ) ) ), multiply( T, inverse(
% 0.76/1.14 multiply( inverse( Z ), Z ) ) ) ) ) ] )
% 0.76/1.14 , 0, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Z ), :=( T, Y )] )
% 0.76/1.14 ).
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 eqswap(
% 0.76/1.14 clause( 182, [ =( multiply( inverse( multiply( Y, inverse( multiply(
% 0.76/1.14 inverse( Z ), Z ) ) ) ), multiply( Y, inverse( multiply( inverse( Z ), Z
% 0.76/1.14 ) ) ) ), multiply( inverse( X ), X ) ) ] )
% 0.76/1.14 , clause( 18, [ =( multiply( inverse( Y ), Y ), multiply( inverse( multiply(
% 0.76/1.14 T, inverse( multiply( inverse( Z ), Z ) ) ) ), multiply( T, inverse(
% 0.76/1.14 multiply( inverse( Z ), Z ) ) ) ) ) ] )
% 0.76/1.14 , 0, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Z ), :=( T, Y )] )
% 0.76/1.14 ).
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 paramod(
% 0.76/1.14 clause( 183, [ =( multiply( inverse( T ), T ), multiply( inverse( Z ), Z )
% 0.76/1.14 ) ] )
% 0.76/1.14 , clause( 181, [ =( multiply( inverse( multiply( Y, inverse( multiply(
% 0.76/1.14 inverse( Z ), Z ) ) ) ), multiply( Y, inverse( multiply( inverse( Z ), Z
% 0.76/1.14 ) ) ) ), multiply( inverse( X ), X ) ) ] )
% 0.76/1.14 , 0, clause( 182, [ =( multiply( inverse( multiply( Y, inverse( multiply(
% 0.76/1.14 inverse( Z ), Z ) ) ) ), multiply( Y, inverse( multiply( inverse( Z ), Z
% 0.76/1.14 ) ) ) ), multiply( inverse( X ), X ) ) ] )
% 0.76/1.14 , 0, 1, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y )] ),
% 0.76/1.14 substitution( 1, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 subsumption(
% 0.76/1.14 clause( 19, [ =( multiply( inverse( T ), T ), multiply( inverse( Z ), Z ) )
% 0.76/1.14 ] )
% 0.76/1.14 , clause( 183, [ =( multiply( inverse( T ), T ), multiply( inverse( Z ), Z
% 0.76/1.14 ) ) ] )
% 0.76/1.14 , substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, Z ), :=( T, T )] ),
% 0.76/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 eqswap(
% 0.76/1.14 clause( 189, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 )
% 0.76/1.14 , b1 ) ) ) ] )
% 0.76/1.14 , clause( 1, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 )
% 0.76/1.14 , a1 ) ) ) ] )
% 0.76/1.14 , 0, substitution( 0, [] )).
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 paramod(
% 0.76/1.14 clause( 191, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( X )
% 0.76/1.14 , X ) ) ) ] )
% 0.76/1.14 , clause( 19, [ =( multiply( inverse( T ), T ), multiply( inverse( Z ), Z )
% 0.76/1.14 ) ] )
% 0.76/1.14 , 0, clause( 189, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse(
% 0.76/1.14 b1 ), b1 ) ) ) ] )
% 0.76/1.14 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, b1 )] )
% 0.76/1.14 , substitution( 1, [] )).
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 paramod(
% 0.76/1.14 clause( 192, [ ~( =( multiply( inverse( Y ), Y ), multiply( inverse( X ), X
% 0.76/1.14 ) ) ) ] )
% 0.76/1.14 , clause( 19, [ =( multiply( inverse( T ), T ), multiply( inverse( Z ), Z )
% 0.76/1.14 ) ] )
% 0.76/1.14 , 0, clause( 191, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse(
% 0.76/1.14 X ), X ) ) ) ] )
% 0.76/1.14 , 0, 2, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, Y ), :=( T, a1 )] )
% 0.76/1.14 , substitution( 1, [ :=( X, X )] )).
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 subsumption(
% 0.76/1.14 clause( 39, [ ~( =( multiply( inverse( X ), X ), multiply( inverse( a1 ),
% 0.76/1.14 a1 ) ) ) ] )
% 0.76/1.14 , clause( 192, [ ~( =( multiply( inverse( Y ), Y ), multiply( inverse( X )
% 0.76/1.14 , X ) ) ) ] )
% 0.76/1.14 , substitution( 0, [ :=( X, a1 ), :=( Y, X )] ), permutation( 0, [ ==>( 0,
% 0.76/1.14 0 )] ) ).
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 eqswap(
% 0.76/1.14 clause( 193, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( X )
% 0.76/1.14 , X ) ) ) ] )
% 0.76/1.14 , clause( 39, [ ~( =( multiply( inverse( X ), X ), multiply( inverse( a1 )
% 0.76/1.14 , a1 ) ) ) ] )
% 0.76/1.14 , 0, substitution( 0, [ :=( X, X )] )).
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 eqrefl(
% 0.76/1.14 clause( 194, [] )
% 0.76/1.14 , clause( 193, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( X
% 0.76/1.14 ), X ) ) ) ] )
% 0.76/1.14 , 0, substitution( 0, [ :=( X, a1 )] )).
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 subsumption(
% 0.76/1.14 clause( 40, [] )
% 0.76/1.14 , clause( 194, [] )
% 0.76/1.14 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 end.
% 0.76/1.14
% 0.76/1.14 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.76/1.14
% 0.76/1.14 Memory use:
% 0.76/1.14
% 0.76/1.14 space for terms: 1108
% 0.76/1.14 space for clauses: 8757
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 clauses generated: 735
% 0.76/1.14 clauses kept: 41
% 0.76/1.14 clauses selected: 12
% 0.76/1.14 clauses deleted: 2
% 0.76/1.14 clauses inuse deleted: 0
% 0.76/1.14
% 0.76/1.14 subsentry: 1332
% 0.76/1.14 literals s-matched: 569
% 0.76/1.14 literals matched: 365
% 0.76/1.14 full subsumption: 0
% 0.76/1.14
% 0.76/1.14 checksum: 1305833132
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 Bliksem ended
%------------------------------------------------------------------------------