TSTP Solution File: GRP590-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP590-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 07:37:46 EDT 2022
% Result : Unsatisfiable 0.78s 1.14s
% Output : Refutation 0.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : GRP590-1 : TPTP v8.1.0. Released v2.6.0.
% 0.09/0.14 % Command : bliksem %s
% 0.14/0.36 % Computer : n018.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % DateTime : Mon Jun 13 17:15:42 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.78/1.14 *** allocated 10000 integers for termspace/termends
% 0.78/1.14 *** allocated 10000 integers for clauses
% 0.78/1.14 *** allocated 10000 integers for justifications
% 0.78/1.14 Bliksem 1.12
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 Automatic Strategy Selection
% 0.78/1.14
% 0.78/1.14 Clauses:
% 0.78/1.14 [
% 0.78/1.14 [ =( 'double_divide'( inverse( 'double_divide'( 'double_divide'( X, Y )
% 0.78/1.14 , inverse( 'double_divide'( X, inverse( Z ) ) ) ) ), Y ), Z ) ],
% 0.78/1.14 [ =( multiply( X, Y ), inverse( 'double_divide'( Y, X ) ) ) ],
% 0.78/1.14 [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ) ]
% 0.78/1.14 ] .
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 percentage equality = 1.000000, percentage horn = 1.000000
% 0.78/1.14 This is a pure equality problem
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 Options Used:
% 0.78/1.14
% 0.78/1.14 useres = 1
% 0.78/1.14 useparamod = 1
% 0.78/1.14 useeqrefl = 1
% 0.78/1.14 useeqfact = 1
% 0.78/1.14 usefactor = 1
% 0.78/1.14 usesimpsplitting = 0
% 0.78/1.14 usesimpdemod = 5
% 0.78/1.14 usesimpres = 3
% 0.78/1.14
% 0.78/1.14 resimpinuse = 1000
% 0.78/1.14 resimpclauses = 20000
% 0.78/1.14 substype = eqrewr
% 0.78/1.14 backwardsubs = 1
% 0.78/1.14 selectoldest = 5
% 0.78/1.14
% 0.78/1.14 litorderings [0] = split
% 0.78/1.14 litorderings [1] = extend the termordering, first sorting on arguments
% 0.78/1.14
% 0.78/1.14 termordering = kbo
% 0.78/1.14
% 0.78/1.14 litapriori = 0
% 0.78/1.14 termapriori = 1
% 0.78/1.14 litaposteriori = 0
% 0.78/1.14 termaposteriori = 0
% 0.78/1.14 demodaposteriori = 0
% 0.78/1.14 ordereqreflfact = 0
% 0.78/1.14
% 0.78/1.14 litselect = negord
% 0.78/1.14
% 0.78/1.14 maxweight = 15
% 0.78/1.14 maxdepth = 30000
% 0.78/1.14 maxlength = 115
% 0.78/1.14 maxnrvars = 195
% 0.78/1.14 excuselevel = 1
% 0.78/1.14 increasemaxweight = 1
% 0.78/1.14
% 0.78/1.14 maxselected = 10000000
% 0.78/1.14 maxnrclauses = 10000000
% 0.78/1.14
% 0.78/1.14 showgenerated = 0
% 0.78/1.14 showkept = 0
% 0.78/1.14 showselected = 0
% 0.78/1.14 showdeleted = 0
% 0.78/1.14 showresimp = 1
% 0.78/1.14 showstatus = 2000
% 0.78/1.14
% 0.78/1.14 prologoutput = 1
% 0.78/1.14 nrgoals = 5000000
% 0.78/1.14 totalproof = 1
% 0.78/1.14
% 0.78/1.14 Symbols occurring in the translation:
% 0.78/1.14
% 0.78/1.14 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.78/1.14 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.78/1.14 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.78/1.14 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.78/1.14 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.78/1.14 'double_divide' [41, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.78/1.14 inverse [43, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.78/1.14 multiply [44, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.78/1.14 b2 [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.78/1.14 a2 [46, 0] (w:1, o:12, a:1, s:1, b:0).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 Starting Search:
% 0.78/1.14
% 0.78/1.14 Resimplifying inuse:
% 0.78/1.14 Done
% 0.78/1.14
% 0.78/1.14 Failed to find proof!
% 0.78/1.14 maxweight = 15
% 0.78/1.14 maxnrclauses = 10000000
% 0.78/1.14 Generated: 43
% 0.78/1.14 Kept: 7
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 The strategy used was not complete!
% 0.78/1.14
% 0.78/1.14 Increased maxweight to 16
% 0.78/1.14
% 0.78/1.14 Starting Search:
% 0.78/1.14
% 0.78/1.14 Resimplifying inuse:
% 0.78/1.14 Done
% 0.78/1.14
% 0.78/1.14 Failed to find proof!
% 0.78/1.14 maxweight = 16
% 0.78/1.14 maxnrclauses = 10000000
% 0.78/1.14 Generated: 43
% 0.78/1.14 Kept: 7
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 The strategy used was not complete!
% 0.78/1.14
% 0.78/1.14 Increased maxweight to 17
% 0.78/1.14
% 0.78/1.14 Starting Search:
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 Bliksems!, er is een bewijs:
% 0.78/1.14 % SZS status Unsatisfiable
% 0.78/1.14 % SZS output start Refutation
% 0.78/1.14
% 0.78/1.14 clause( 0, [ =( 'double_divide'( inverse( 'double_divide'( 'double_divide'(
% 0.78/1.14 X, Y ), inverse( 'double_divide'( X, inverse( Z ) ) ) ) ), Y ), Z ) ] )
% 0.78/1.14 .
% 0.78/1.14 clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.78/1.14 .
% 0.78/1.14 clause( 2, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ) ]
% 0.78/1.14 )
% 0.78/1.14 .
% 0.78/1.14 clause( 3, [ =( 'double_divide'( multiply( multiply( inverse( Z ), X ),
% 0.78/1.14 'double_divide'( X, Y ) ), Y ), Z ) ] )
% 0.78/1.14 .
% 0.78/1.14 clause( 4, [ =( 'double_divide'( multiply( multiply( inverse( T ), multiply(
% 0.78/1.14 multiply( inverse( X ), Y ), 'double_divide'( Y, Z ) ) ), X ), Z ), T ) ]
% 0.78/1.14 )
% 0.78/1.14 .
% 0.78/1.14 clause( 5, [ =( multiply( Z, multiply( multiply( inverse( X ), Y ),
% 0.78/1.14 'double_divide'( Y, Z ) ) ), inverse( X ) ) ] )
% 0.78/1.14 .
% 0.78/1.14 clause( 8, [ =( 'double_divide'( multiply( inverse( Y ), Y ), inverse( X )
% 0.78/1.14 ), X ) ] )
% 0.78/1.14 .
% 0.78/1.14 clause( 11, [ =( multiply( inverse( Y ), multiply( inverse( X ), X ) ),
% 0.78/1.14 inverse( Y ) ) ] )
% 0.78/1.14 .
% 0.78/1.14 clause( 14, [ =( multiply( inverse( Y ), inverse( multiply( inverse( X ), X
% 0.78/1.14 ) ) ), inverse( Y ) ) ] )
% 0.78/1.14 .
% 0.78/1.14 clause( 15, [ =( 'double_divide'( inverse( multiply( inverse( X ), X ) ),
% 0.78/1.14 inverse( Y ) ), Y ) ] )
% 0.78/1.14 .
% 0.78/1.14 clause( 22, [ =( multiply( inverse( Y ), multiply( inverse( Z ), Y ) ),
% 0.78/1.14 inverse( Z ) ) ] )
% 0.78/1.14 .
% 0.78/1.14 clause( 23, [ =( 'double_divide'( multiply( inverse( Z ), Y ), inverse( Y )
% 0.78/1.14 ), Z ) ] )
% 0.78/1.14 .
% 0.78/1.14 clause( 33, [ =( 'double_divide'( inverse( Y ), inverse( multiply( inverse(
% 0.78/1.14 Y ), X ) ) ), X ) ] )
% 0.78/1.14 .
% 0.78/1.14 clause( 40, [ =( 'double_divide'( inverse( X ), inverse( inverse( Y ) ) ),
% 0.78/1.14 multiply( inverse( Y ), X ) ) ] )
% 0.78/1.14 .
% 0.78/1.14 clause( 41, [ =( multiply( inverse( multiply( inverse( X ), X ) ), Y ), Y )
% 0.78/1.14 ] )
% 0.78/1.14 .
% 0.78/1.14 clause( 42, [ =( multiply( inverse( X ), X ), multiply( inverse( Y ), Y ) )
% 0.78/1.14 ] )
% 0.78/1.14 .
% 0.78/1.14 clause( 53, [ ~( =( multiply( multiply( inverse( X ), X ), a2 ), a2 ) ) ]
% 0.78/1.14 )
% 0.78/1.14 .
% 0.78/1.14 clause( 55, [] )
% 0.78/1.14 .
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 % SZS output end Refutation
% 0.78/1.14 found a proof!
% 0.78/1.14
% 0.78/1.14 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.78/1.14
% 0.78/1.14 initialclauses(
% 0.78/1.14 [ clause( 57, [ =( 'double_divide'( inverse( 'double_divide'(
% 0.78/1.14 'double_divide'( X, Y ), inverse( 'double_divide'( X, inverse( Z ) ) ) )
% 0.78/1.14 ), Y ), Z ) ] )
% 0.78/1.14 , clause( 58, [ =( multiply( X, Y ), inverse( 'double_divide'( Y, X ) ) ) ]
% 0.78/1.14 )
% 0.78/1.14 , clause( 59, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) )
% 0.78/1.14 ] )
% 0.78/1.14 ] ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 subsumption(
% 0.78/1.14 clause( 0, [ =( 'double_divide'( inverse( 'double_divide'( 'double_divide'(
% 0.78/1.14 X, Y ), inverse( 'double_divide'( X, inverse( Z ) ) ) ) ), Y ), Z ) ] )
% 0.78/1.14 , clause( 57, [ =( 'double_divide'( inverse( 'double_divide'(
% 0.78/1.14 'double_divide'( X, Y ), inverse( 'double_divide'( X, inverse( Z ) ) ) )
% 0.78/1.14 ), Y ), Z ) ] )
% 0.78/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.78/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 62, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.78/1.14 )
% 0.78/1.14 , clause( 58, [ =( multiply( X, Y ), inverse( 'double_divide'( Y, X ) ) ) ]
% 0.78/1.14 )
% 0.78/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 subsumption(
% 0.78/1.14 clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.78/1.14 , clause( 62, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.78/1.14 )
% 0.78/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.14 )] ) ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 subsumption(
% 0.78/1.14 clause( 2, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ) ]
% 0.78/1.14 )
% 0.78/1.14 , clause( 59, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) )
% 0.78/1.14 ] )
% 0.78/1.14 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 70, [ =( 'double_divide'( inverse( 'double_divide'( 'double_divide'(
% 0.78/1.14 X, Y ), multiply( inverse( Z ), X ) ) ), Y ), Z ) ] )
% 0.78/1.14 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.78/1.14 )
% 0.78/1.14 , 0, clause( 0, [ =( 'double_divide'( inverse( 'double_divide'(
% 0.78/1.14 'double_divide'( X, Y ), inverse( 'double_divide'( X, inverse( Z ) ) ) )
% 0.78/1.14 ), Y ), Z ) ] )
% 0.78/1.14 , 0, 7, substitution( 0, [ :=( X, inverse( Z ) ), :=( Y, X )] ),
% 0.78/1.14 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 72, [ =( 'double_divide'( multiply( multiply( inverse( Z ), X ),
% 0.78/1.14 'double_divide'( X, Y ) ), Y ), Z ) ] )
% 0.78/1.14 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.78/1.14 )
% 0.78/1.14 , 0, clause( 70, [ =( 'double_divide'( inverse( 'double_divide'(
% 0.78/1.14 'double_divide'( X, Y ), multiply( inverse( Z ), X ) ) ), Y ), Z ) ] )
% 0.78/1.14 , 0, 2, substitution( 0, [ :=( X, multiply( inverse( Z ), X ) ), :=( Y,
% 0.78/1.14 'double_divide'( X, Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 0.78/1.14 :=( Z, Z )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 subsumption(
% 0.78/1.14 clause( 3, [ =( 'double_divide'( multiply( multiply( inverse( Z ), X ),
% 0.78/1.14 'double_divide'( X, Y ) ), Y ), Z ) ] )
% 0.78/1.14 , clause( 72, [ =( 'double_divide'( multiply( multiply( inverse( Z ), X ),
% 0.78/1.14 'double_divide'( X, Y ) ), Y ), Z ) ] )
% 0.78/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.78/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 74, [ =( X, 'double_divide'( multiply( multiply( inverse( X ), Y )
% 0.78/1.14 , 'double_divide'( Y, Z ) ), Z ) ) ] )
% 0.78/1.14 , clause( 3, [ =( 'double_divide'( multiply( multiply( inverse( Z ), X ),
% 0.78/1.14 'double_divide'( X, Y ) ), Y ), Z ) ] )
% 0.78/1.14 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 77, [ =( X, 'double_divide'( multiply( multiply( inverse( X ),
% 0.78/1.14 multiply( multiply( inverse( Y ), Z ), 'double_divide'( Z, T ) ) ), Y ),
% 0.78/1.14 T ) ) ] )
% 0.78/1.14 , clause( 3, [ =( 'double_divide'( multiply( multiply( inverse( Z ), X ),
% 0.78/1.14 'double_divide'( X, Y ) ), Y ), Z ) ] )
% 0.78/1.14 , 0, clause( 74, [ =( X, 'double_divide'( multiply( multiply( inverse( X )
% 0.78/1.14 , Y ), 'double_divide'( Y, Z ) ), Z ) ) ] )
% 0.78/1.14 , 0, 15, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, Y )] ),
% 0.78/1.14 substitution( 1, [ :=( X, X ), :=( Y, multiply( multiply( inverse( Y ), Z
% 0.78/1.14 ), 'double_divide'( Z, T ) ) ), :=( Z, T )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 78, [ =( 'double_divide'( multiply( multiply( inverse( X ),
% 0.78/1.14 multiply( multiply( inverse( Y ), Z ), 'double_divide'( Z, T ) ) ), Y ),
% 0.78/1.14 T ), X ) ] )
% 0.78/1.14 , clause( 77, [ =( X, 'double_divide'( multiply( multiply( inverse( X ),
% 0.78/1.14 multiply( multiply( inverse( Y ), Z ), 'double_divide'( Z, T ) ) ), Y ),
% 0.78/1.14 T ) ) ] )
% 0.78/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.78/1.14 ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 subsumption(
% 0.78/1.14 clause( 4, [ =( 'double_divide'( multiply( multiply( inverse( T ), multiply(
% 0.78/1.14 multiply( inverse( X ), Y ), 'double_divide'( Y, Z ) ) ), X ), Z ), T ) ]
% 0.78/1.14 )
% 0.78/1.14 , clause( 78, [ =( 'double_divide'( multiply( multiply( inverse( X ),
% 0.78/1.14 multiply( multiply( inverse( Y ), Z ), 'double_divide'( Z, T ) ) ), Y ),
% 0.78/1.14 T ), X ) ] )
% 0.78/1.14 , substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] ),
% 0.78/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 80, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.78/1.14 )
% 0.78/1.14 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.78/1.14 )
% 0.78/1.14 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 83, [ =( multiply( X, multiply( multiply( inverse( Y ), Z ),
% 0.78/1.14 'double_divide'( Z, X ) ) ), inverse( Y ) ) ] )
% 0.78/1.14 , clause( 3, [ =( 'double_divide'( multiply( multiply( inverse( Z ), X ),
% 0.78/1.14 'double_divide'( X, Y ) ), Y ), Z ) ] )
% 0.78/1.14 , 0, clause( 80, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.78/1.14 ) ] )
% 0.78/1.14 , 0, 12, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.78/1.14 substitution( 1, [ :=( X, multiply( multiply( inverse( Y ), Z ),
% 0.78/1.14 'double_divide'( Z, X ) ) ), :=( Y, X )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 subsumption(
% 0.78/1.14 clause( 5, [ =( multiply( Z, multiply( multiply( inverse( X ), Y ),
% 0.78/1.14 'double_divide'( Y, Z ) ) ), inverse( X ) ) ] )
% 0.78/1.14 , clause( 83, [ =( multiply( X, multiply( multiply( inverse( Y ), Z ),
% 0.78/1.14 'double_divide'( Z, X ) ) ), inverse( Y ) ) ] )
% 0.78/1.14 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.78/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 86, [ =( X, 'double_divide'( multiply( multiply( inverse( X ),
% 0.78/1.14 multiply( multiply( inverse( Y ), Z ), 'double_divide'( Z, T ) ) ), Y ),
% 0.78/1.14 T ) ) ] )
% 0.78/1.14 , clause( 4, [ =( 'double_divide'( multiply( multiply( inverse( T ),
% 0.78/1.14 multiply( multiply( inverse( X ), Y ), 'double_divide'( Y, Z ) ) ), X ),
% 0.78/1.14 Z ), T ) ] )
% 0.78/1.14 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, X )] )
% 0.78/1.14 ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 89, [ =( X, 'double_divide'( multiply( inverse( Y ), Y ), inverse(
% 0.78/1.14 X ) ) ) ] )
% 0.78/1.14 , clause( 5, [ =( multiply( Z, multiply( multiply( inverse( X ), Y ),
% 0.78/1.14 'double_divide'( Y, Z ) ) ), inverse( X ) ) ] )
% 0.78/1.14 , 0, clause( 86, [ =( X, 'double_divide'( multiply( multiply( inverse( X )
% 0.78/1.14 , multiply( multiply( inverse( Y ), Z ), 'double_divide'( Z, T ) ) ), Y )
% 0.78/1.14 , T ) ) ] )
% 0.78/1.14 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, inverse( X ) )] )
% 0.78/1.14 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, inverse(
% 0.78/1.14 X ) )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 91, [ =( 'double_divide'( multiply( inverse( Y ), Y ), inverse( X )
% 0.78/1.14 ), X ) ] )
% 0.78/1.14 , clause( 89, [ =( X, 'double_divide'( multiply( inverse( Y ), Y ), inverse(
% 0.78/1.14 X ) ) ) ] )
% 0.78/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 subsumption(
% 0.78/1.14 clause( 8, [ =( 'double_divide'( multiply( inverse( Y ), Y ), inverse( X )
% 0.78/1.14 ), X ) ] )
% 0.78/1.14 , clause( 91, [ =( 'double_divide'( multiply( inverse( Y ), Y ), inverse( X
% 0.78/1.14 ) ), X ) ] )
% 0.78/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.14 )] ) ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 94, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.78/1.14 )
% 0.78/1.14 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.78/1.14 )
% 0.78/1.14 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 99, [ =( multiply( inverse( X ), multiply( inverse( Y ), Y ) ),
% 0.78/1.14 inverse( X ) ) ] )
% 0.78/1.14 , clause( 8, [ =( 'double_divide'( multiply( inverse( Y ), Y ), inverse( X
% 0.78/1.14 ) ), X ) ] )
% 0.78/1.14 , 0, clause( 94, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.78/1.14 ) ] )
% 0.78/1.14 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.78/1.14 :=( X, multiply( inverse( Y ), Y ) ), :=( Y, inverse( X ) )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 subsumption(
% 0.78/1.14 clause( 11, [ =( multiply( inverse( Y ), multiply( inverse( X ), X ) ),
% 0.78/1.14 inverse( Y ) ) ] )
% 0.78/1.14 , clause( 99, [ =( multiply( inverse( X ), multiply( inverse( Y ), Y ) ),
% 0.78/1.14 inverse( X ) ) ] )
% 0.78/1.14 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.14 )] ) ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 101, [ =( inverse( X ), multiply( inverse( X ), multiply( inverse(
% 0.78/1.14 Y ), Y ) ) ) ] )
% 0.78/1.14 , clause( 11, [ =( multiply( inverse( Y ), multiply( inverse( X ), X ) ),
% 0.78/1.14 inverse( Y ) ) ] )
% 0.78/1.14 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 104, [ =( inverse( X ), multiply( inverse( X ), inverse( multiply(
% 0.78/1.14 inverse( Y ), Y ) ) ) ) ] )
% 0.78/1.14 , clause( 11, [ =( multiply( inverse( Y ), multiply( inverse( X ), X ) ),
% 0.78/1.14 inverse( Y ) ) ] )
% 0.78/1.14 , 0, clause( 101, [ =( inverse( X ), multiply( inverse( X ), multiply(
% 0.78/1.14 inverse( Y ), Y ) ) ) ] )
% 0.78/1.14 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, multiply( inverse( Y ), Y ) )] )
% 0.78/1.14 , substitution( 1, [ :=( X, X ), :=( Y, multiply( inverse( Y ), Y ) )] )
% 0.78/1.14 ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 105, [ =( multiply( inverse( X ), inverse( multiply( inverse( Y ),
% 0.78/1.14 Y ) ) ), inverse( X ) ) ] )
% 0.78/1.14 , clause( 104, [ =( inverse( X ), multiply( inverse( X ), inverse( multiply(
% 0.78/1.14 inverse( Y ), Y ) ) ) ) ] )
% 0.78/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 subsumption(
% 0.78/1.14 clause( 14, [ =( multiply( inverse( Y ), inverse( multiply( inverse( X ), X
% 0.78/1.14 ) ) ), inverse( Y ) ) ] )
% 0.78/1.14 , clause( 105, [ =( multiply( inverse( X ), inverse( multiply( inverse( Y )
% 0.78/1.14 , Y ) ) ), inverse( X ) ) ] )
% 0.78/1.14 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.14 )] ) ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 107, [ =( Y, 'double_divide'( multiply( inverse( X ), X ), inverse(
% 0.78/1.14 Y ) ) ) ] )
% 0.78/1.14 , clause( 8, [ =( 'double_divide'( multiply( inverse( Y ), Y ), inverse( X
% 0.78/1.14 ) ), X ) ] )
% 0.78/1.14 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 108, [ =( X, 'double_divide'( inverse( multiply( inverse( Y ), Y )
% 0.78/1.14 ), inverse( X ) ) ) ] )
% 0.78/1.14 , clause( 11, [ =( multiply( inverse( Y ), multiply( inverse( X ), X ) ),
% 0.78/1.14 inverse( Y ) ) ] )
% 0.78/1.14 , 0, clause( 107, [ =( Y, 'double_divide'( multiply( inverse( X ), X ),
% 0.78/1.14 inverse( Y ) ) ) ] )
% 0.78/1.14 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, multiply( inverse( Y ), Y ) )] )
% 0.78/1.14 , substitution( 1, [ :=( X, multiply( inverse( Y ), Y ) ), :=( Y, X )] )
% 0.78/1.14 ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 109, [ =( 'double_divide'( inverse( multiply( inverse( Y ), Y ) ),
% 0.78/1.14 inverse( X ) ), X ) ] )
% 0.78/1.14 , clause( 108, [ =( X, 'double_divide'( inverse( multiply( inverse( Y ), Y
% 0.78/1.14 ) ), inverse( X ) ) ) ] )
% 0.78/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 subsumption(
% 0.78/1.14 clause( 15, [ =( 'double_divide'( inverse( multiply( inverse( X ), X ) ),
% 0.78/1.14 inverse( Y ) ), Y ) ] )
% 0.78/1.14 , clause( 109, [ =( 'double_divide'( inverse( multiply( inverse( Y ), Y ) )
% 0.78/1.14 , inverse( X ) ), X ) ] )
% 0.78/1.14 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.14 )] ) ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 111, [ =( inverse( Y ), multiply( X, multiply( multiply( inverse( Y
% 0.78/1.14 ), Z ), 'double_divide'( Z, X ) ) ) ) ] )
% 0.78/1.14 , clause( 5, [ =( multiply( Z, multiply( multiply( inverse( X ), Y ),
% 0.78/1.14 'double_divide'( Y, Z ) ) ), inverse( X ) ) ] )
% 0.78/1.14 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 113, [ =( inverse( X ), multiply( inverse( Y ), multiply( multiply(
% 0.78/1.14 inverse( X ), inverse( multiply( inverse( Z ), Z ) ) ), Y ) ) ) ] )
% 0.78/1.14 , clause( 15, [ =( 'double_divide'( inverse( multiply( inverse( X ), X ) )
% 0.78/1.14 , inverse( Y ) ), Y ) ] )
% 0.78/1.14 , 0, clause( 111, [ =( inverse( Y ), multiply( X, multiply( multiply(
% 0.78/1.14 inverse( Y ), Z ), 'double_divide'( Z, X ) ) ) ) ] )
% 0.78/1.14 , 0, 15, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.78/1.14 :=( X, inverse( Y ) ), :=( Y, X ), :=( Z, inverse( multiply( inverse( Z )
% 0.78/1.14 , Z ) ) )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 114, [ =( inverse( X ), multiply( inverse( Y ), multiply( inverse(
% 0.78/1.14 X ), Y ) ) ) ] )
% 0.78/1.14 , clause( 14, [ =( multiply( inverse( Y ), inverse( multiply( inverse( X )
% 0.78/1.14 , X ) ) ), inverse( Y ) ) ] )
% 0.78/1.14 , 0, clause( 113, [ =( inverse( X ), multiply( inverse( Y ), multiply(
% 0.78/1.14 multiply( inverse( X ), inverse( multiply( inverse( Z ), Z ) ) ), Y ) ) )
% 0.78/1.14 ] )
% 0.78/1.14 , 0, 7, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 0.78/1.14 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 115, [ =( multiply( inverse( Y ), multiply( inverse( X ), Y ) ),
% 0.78/1.14 inverse( X ) ) ] )
% 0.78/1.14 , clause( 114, [ =( inverse( X ), multiply( inverse( Y ), multiply( inverse(
% 0.78/1.14 X ), Y ) ) ) ] )
% 0.78/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 subsumption(
% 0.78/1.14 clause( 22, [ =( multiply( inverse( Y ), multiply( inverse( Z ), Y ) ),
% 0.78/1.14 inverse( Z ) ) ] )
% 0.78/1.14 , clause( 115, [ =( multiply( inverse( Y ), multiply( inverse( X ), Y ) ),
% 0.78/1.14 inverse( X ) ) ] )
% 0.78/1.14 , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.14 )] ) ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 117, [ =( X, 'double_divide'( multiply( multiply( inverse( X ), Y )
% 0.78/1.14 , 'double_divide'( Y, Z ) ), Z ) ) ] )
% 0.78/1.14 , clause( 3, [ =( 'double_divide'( multiply( multiply( inverse( Z ), X ),
% 0.78/1.14 'double_divide'( X, Y ) ), Y ), Z ) ] )
% 0.78/1.14 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 119, [ =( X, 'double_divide'( multiply( multiply( inverse( X ),
% 0.78/1.14 inverse( multiply( inverse( Y ), Y ) ) ), Z ), inverse( Z ) ) ) ] )
% 0.78/1.14 , clause( 15, [ =( 'double_divide'( inverse( multiply( inverse( X ), X ) )
% 0.78/1.14 , inverse( Y ) ), Y ) ] )
% 0.78/1.14 , 0, clause( 117, [ =( X, 'double_divide'( multiply( multiply( inverse( X )
% 0.78/1.14 , Y ), 'double_divide'( Y, Z ) ), Z ) ) ] )
% 0.78/1.14 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.78/1.14 :=( X, X ), :=( Y, inverse( multiply( inverse( Y ), Y ) ) ), :=( Z,
% 0.78/1.14 inverse( Z ) )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 120, [ =( X, 'double_divide'( multiply( inverse( X ), Z ), inverse(
% 0.78/1.14 Z ) ) ) ] )
% 0.78/1.14 , clause( 14, [ =( multiply( inverse( Y ), inverse( multiply( inverse( X )
% 0.78/1.14 , X ) ) ), inverse( Y ) ) ] )
% 0.78/1.14 , 0, clause( 119, [ =( X, 'double_divide'( multiply( multiply( inverse( X )
% 0.78/1.14 , inverse( multiply( inverse( Y ), Y ) ) ), Z ), inverse( Z ) ) ) ] )
% 0.78/1.14 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.78/1.14 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 121, [ =( 'double_divide'( multiply( inverse( X ), Y ), inverse( Y
% 0.78/1.14 ) ), X ) ] )
% 0.78/1.14 , clause( 120, [ =( X, 'double_divide'( multiply( inverse( X ), Z ),
% 0.78/1.14 inverse( Z ) ) ) ] )
% 0.78/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 subsumption(
% 0.78/1.14 clause( 23, [ =( 'double_divide'( multiply( inverse( Z ), Y ), inverse( Y )
% 0.78/1.14 ), Z ) ] )
% 0.78/1.14 , clause( 121, [ =( 'double_divide'( multiply( inverse( X ), Y ), inverse(
% 0.78/1.14 Y ) ), X ) ] )
% 0.78/1.14 , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.14 )] ) ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 123, [ =( X, 'double_divide'( multiply( inverse( X ), Y ), inverse(
% 0.78/1.14 Y ) ) ) ] )
% 0.78/1.14 , clause( 23, [ =( 'double_divide'( multiply( inverse( Z ), Y ), inverse( Y
% 0.78/1.14 ) ), Z ) ] )
% 0.78/1.14 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 124, [ =( X, 'double_divide'( inverse( Y ), inverse( multiply(
% 0.78/1.14 inverse( Y ), X ) ) ) ) ] )
% 0.78/1.14 , clause( 22, [ =( multiply( inverse( Y ), multiply( inverse( Z ), Y ) ),
% 0.78/1.14 inverse( Z ) ) ] )
% 0.78/1.14 , 0, clause( 123, [ =( X, 'double_divide'( multiply( inverse( X ), Y ),
% 0.78/1.14 inverse( Y ) ) ) ] )
% 0.78/1.14 , 0, 3, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.78/1.14 substitution( 1, [ :=( X, X ), :=( Y, multiply( inverse( Y ), X ) )] )
% 0.78/1.14 ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 125, [ =( 'double_divide'( inverse( Y ), inverse( multiply( inverse(
% 0.78/1.14 Y ), X ) ) ), X ) ] )
% 0.78/1.14 , clause( 124, [ =( X, 'double_divide'( inverse( Y ), inverse( multiply(
% 0.78/1.14 inverse( Y ), X ) ) ) ) ] )
% 0.78/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 subsumption(
% 0.78/1.14 clause( 33, [ =( 'double_divide'( inverse( Y ), inverse( multiply( inverse(
% 0.78/1.14 Y ), X ) ) ), X ) ] )
% 0.78/1.14 , clause( 125, [ =( 'double_divide'( inverse( Y ), inverse( multiply(
% 0.78/1.14 inverse( Y ), X ) ) ), X ) ] )
% 0.78/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.14 )] ) ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 127, [ =( Y, 'double_divide'( inverse( X ), inverse( multiply(
% 0.78/1.14 inverse( X ), Y ) ) ) ) ] )
% 0.78/1.14 , clause( 33, [ =( 'double_divide'( inverse( Y ), inverse( multiply(
% 0.78/1.14 inverse( Y ), X ) ) ), X ) ] )
% 0.78/1.14 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 128, [ =( multiply( inverse( X ), Y ), 'double_divide'( inverse( Y
% 0.78/1.14 ), inverse( inverse( X ) ) ) ) ] )
% 0.78/1.14 , clause( 22, [ =( multiply( inverse( Y ), multiply( inverse( Z ), Y ) ),
% 0.78/1.14 inverse( Z ) ) ] )
% 0.78/1.14 , 0, clause( 127, [ =( Y, 'double_divide'( inverse( X ), inverse( multiply(
% 0.78/1.14 inverse( X ), Y ) ) ) ) ] )
% 0.78/1.14 , 0, 9, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.78/1.14 substitution( 1, [ :=( X, Y ), :=( Y, multiply( inverse( X ), Y ) )] )
% 0.78/1.14 ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 129, [ =( 'double_divide'( inverse( Y ), inverse( inverse( X ) ) )
% 0.78/1.14 , multiply( inverse( X ), Y ) ) ] )
% 0.78/1.14 , clause( 128, [ =( multiply( inverse( X ), Y ), 'double_divide'( inverse(
% 0.78/1.14 Y ), inverse( inverse( X ) ) ) ) ] )
% 0.78/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 subsumption(
% 0.78/1.14 clause( 40, [ =( 'double_divide'( inverse( X ), inverse( inverse( Y ) ) ),
% 0.78/1.14 multiply( inverse( Y ), X ) ) ] )
% 0.78/1.14 , clause( 129, [ =( 'double_divide'( inverse( Y ), inverse( inverse( X ) )
% 0.78/1.14 ), multiply( inverse( X ), Y ) ) ] )
% 0.78/1.14 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.14 )] ) ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 130, [ =( Y, 'double_divide'( inverse( X ), inverse( multiply(
% 0.78/1.14 inverse( X ), Y ) ) ) ) ] )
% 0.78/1.14 , clause( 33, [ =( 'double_divide'( inverse( Y ), inverse( multiply(
% 0.78/1.14 inverse( Y ), X ) ) ), X ) ] )
% 0.78/1.14 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 132, [ =( X, multiply( inverse( multiply( inverse( Y ), Y ) ), X )
% 0.78/1.14 ) ] )
% 0.78/1.14 , clause( 15, [ =( 'double_divide'( inverse( multiply( inverse( X ), X ) )
% 0.78/1.14 , inverse( Y ) ), Y ) ] )
% 0.78/1.14 , 0, clause( 130, [ =( Y, 'double_divide'( inverse( X ), inverse( multiply(
% 0.78/1.14 inverse( X ), Y ) ) ) ) ] )
% 0.78/1.14 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, multiply( inverse( multiply(
% 0.78/1.14 inverse( Y ), Y ) ), X ) )] ), substitution( 1, [ :=( X, multiply(
% 0.78/1.14 inverse( Y ), Y ) ), :=( Y, X )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 133, [ =( multiply( inverse( multiply( inverse( Y ), Y ) ), X ), X
% 0.78/1.14 ) ] )
% 0.78/1.14 , clause( 132, [ =( X, multiply( inverse( multiply( inverse( Y ), Y ) ), X
% 0.78/1.14 ) ) ] )
% 0.78/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 subsumption(
% 0.78/1.14 clause( 41, [ =( multiply( inverse( multiply( inverse( X ), X ) ), Y ), Y )
% 0.78/1.14 ] )
% 0.78/1.14 , clause( 133, [ =( multiply( inverse( multiply( inverse( Y ), Y ) ), X ),
% 0.78/1.14 X ) ] )
% 0.78/1.14 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.14 )] ) ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 135, [ =( Y, 'double_divide'( inverse( X ), inverse( multiply(
% 0.78/1.14 inverse( X ), Y ) ) ) ) ] )
% 0.78/1.14 , clause( 33, [ =( 'double_divide'( inverse( Y ), inverse( multiply(
% 0.78/1.14 inverse( Y ), X ) ) ), X ) ] )
% 0.78/1.14 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 137, [ =( multiply( inverse( X ), X ), 'double_divide'( inverse( Y
% 0.78/1.14 ), inverse( inverse( Y ) ) ) ) ] )
% 0.78/1.14 , clause( 11, [ =( multiply( inverse( Y ), multiply( inverse( X ), X ) ),
% 0.78/1.14 inverse( Y ) ) ] )
% 0.78/1.14 , 0, clause( 135, [ =( Y, 'double_divide'( inverse( X ), inverse( multiply(
% 0.78/1.14 inverse( X ), Y ) ) ) ) ] )
% 0.78/1.14 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.78/1.14 :=( X, Y ), :=( Y, multiply( inverse( X ), X ) )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 138, [ =( multiply( inverse( X ), X ), multiply( inverse( Y ), Y )
% 0.78/1.14 ) ] )
% 0.78/1.14 , clause( 40, [ =( 'double_divide'( inverse( X ), inverse( inverse( Y ) ) )
% 0.78/1.14 , multiply( inverse( Y ), X ) ) ] )
% 0.78/1.14 , 0, clause( 137, [ =( multiply( inverse( X ), X ), 'double_divide'(
% 0.78/1.14 inverse( Y ), inverse( inverse( Y ) ) ) ) ] )
% 0.78/1.14 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, Y )] ), substitution( 1, [
% 0.78/1.14 :=( X, X ), :=( Y, Y )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 subsumption(
% 0.78/1.14 clause( 42, [ =( multiply( inverse( X ), X ), multiply( inverse( Y ), Y ) )
% 0.78/1.14 ] )
% 0.78/1.14 , clause( 138, [ =( multiply( inverse( X ), X ), multiply( inverse( Y ), Y
% 0.78/1.14 ) ) ] )
% 0.78/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.14 )] ) ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 139, [ ~( =( a2, multiply( multiply( inverse( b2 ), b2 ), a2 ) ) )
% 0.78/1.14 ] )
% 0.78/1.14 , clause( 2, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) )
% 0.78/1.14 ] )
% 0.78/1.14 , 0, substitution( 0, [] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 140, [ ~( =( a2, multiply( multiply( inverse( X ), X ), a2 ) ) ) ]
% 0.78/1.14 )
% 0.78/1.14 , clause( 42, [ =( multiply( inverse( X ), X ), multiply( inverse( Y ), Y )
% 0.78/1.14 ) ] )
% 0.78/1.14 , 0, clause( 139, [ ~( =( a2, multiply( multiply( inverse( b2 ), b2 ), a2 )
% 0.78/1.14 ) ) ] )
% 0.78/1.14 , 0, 4, substitution( 0, [ :=( X, b2 ), :=( Y, X )] ), substitution( 1, [] )
% 0.78/1.14 ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 141, [ ~( =( multiply( multiply( inverse( X ), X ), a2 ), a2 ) ) ]
% 0.78/1.14 )
% 0.78/1.14 , clause( 140, [ ~( =( a2, multiply( multiply( inverse( X ), X ), a2 ) ) )
% 0.78/1.14 ] )
% 0.78/1.14 , 0, substitution( 0, [ :=( X, X )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 subsumption(
% 0.78/1.14 clause( 53, [ ~( =( multiply( multiply( inverse( X ), X ), a2 ), a2 ) ) ]
% 0.78/1.14 )
% 0.78/1.14 , clause( 141, [ ~( =( multiply( multiply( inverse( X ), X ), a2 ), a2 ) )
% 0.78/1.14 ] )
% 0.78/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqswap(
% 0.78/1.14 clause( 143, [ ~( =( a2, multiply( multiply( inverse( X ), X ), a2 ) ) ) ]
% 0.78/1.14 )
% 0.78/1.14 , clause( 53, [ ~( =( multiply( multiply( inverse( X ), X ), a2 ), a2 ) ) ]
% 0.78/1.14 )
% 0.78/1.14 , 0, substitution( 0, [ :=( X, X )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 145, [ ~( =( a2, multiply( inverse( multiply( inverse( X ), X ) ),
% 0.78/1.14 a2 ) ) ) ] )
% 0.78/1.14 , clause( 11, [ =( multiply( inverse( Y ), multiply( inverse( X ), X ) ),
% 0.78/1.14 inverse( Y ) ) ] )
% 0.78/1.14 , 0, clause( 143, [ ~( =( a2, multiply( multiply( inverse( X ), X ), a2 ) )
% 0.78/1.14 ) ] )
% 0.78/1.14 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, multiply( inverse( X ), X ) )] )
% 0.78/1.14 , substitution( 1, [ :=( X, multiply( inverse( X ), X ) )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 paramod(
% 0.78/1.14 clause( 146, [ ~( =( a2, a2 ) ) ] )
% 0.78/1.14 , clause( 41, [ =( multiply( inverse( multiply( inverse( X ), X ) ), Y ), Y
% 0.78/1.14 ) ] )
% 0.78/1.14 , 0, clause( 145, [ ~( =( a2, multiply( inverse( multiply( inverse( X ), X
% 0.78/1.14 ) ), a2 ) ) ) ] )
% 0.78/1.14 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, a2 )] ), substitution( 1, [
% 0.78/1.14 :=( X, X )] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 eqrefl(
% 0.78/1.14 clause( 147, [] )
% 0.78/1.14 , clause( 146, [ ~( =( a2, a2 ) ) ] )
% 0.78/1.14 , 0, substitution( 0, [] )).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 subsumption(
% 0.78/1.14 clause( 55, [] )
% 0.78/1.14 , clause( 147, [] )
% 0.78/1.14 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 end.
% 0.78/1.14
% 0.78/1.14 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.78/1.14
% 0.78/1.14 Memory use:
% 0.78/1.14
% 0.78/1.14 space for terms: 765
% 0.78/1.14 space for clauses: 6966
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 clauses generated: 156
% 0.78/1.14 clauses kept: 56
% 0.78/1.14 clauses selected: 14
% 0.78/1.14 clauses deleted: 1
% 0.78/1.14 clauses inuse deleted: 0
% 0.78/1.14
% 0.78/1.14 subsentry: 235
% 0.78/1.14 literals s-matched: 95
% 0.78/1.14 literals matched: 93
% 0.78/1.14 full subsumption: 0
% 0.78/1.14
% 0.78/1.14 checksum: -1213867243
% 0.78/1.14
% 0.78/1.14
% 0.78/1.14 Bliksem ended
%------------------------------------------------------------------------------