TSTP Solution File: GRP513-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP513-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n023.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 07:37:24 EDT 2022
% Result : Unsatisfiable 0.50s 1.16s
% Output : Refutation 0.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP513-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.14 % Command : bliksem %s
% 0.15/0.36 % Computer : n023.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % DateTime : Mon Jun 13 16:33:51 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.50/1.16 *** allocated 10000 integers for termspace/termends
% 0.50/1.16 *** allocated 10000 integers for clauses
% 0.50/1.16 *** allocated 10000 integers for justifications
% 0.50/1.16 Bliksem 1.12
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 Automatic Strategy Selection
% 0.50/1.16
% 0.50/1.16 Clauses:
% 0.50/1.16 [
% 0.50/1.16 [ =( multiply( X, multiply( multiply( Y, Z ), inverse( multiply( X, Z )
% 0.50/1.16 ) ) ), Y ) ],
% 0.50/1.16 [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1 ) ) )
% 0.50/1.16 ]
% 0.50/1.16 ] .
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 percentage equality = 1.000000, percentage horn = 1.000000
% 0.50/1.16 This is a pure equality problem
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 Options Used:
% 0.50/1.16
% 0.50/1.16 useres = 1
% 0.50/1.16 useparamod = 1
% 0.50/1.16 useeqrefl = 1
% 0.50/1.16 useeqfact = 1
% 0.50/1.16 usefactor = 1
% 0.50/1.16 usesimpsplitting = 0
% 0.50/1.16 usesimpdemod = 5
% 0.50/1.16 usesimpres = 3
% 0.50/1.16
% 0.50/1.16 resimpinuse = 1000
% 0.50/1.16 resimpclauses = 20000
% 0.50/1.16 substype = eqrewr
% 0.50/1.16 backwardsubs = 1
% 0.50/1.16 selectoldest = 5
% 0.50/1.16
% 0.50/1.16 litorderings [0] = split
% 0.50/1.16 litorderings [1] = extend the termordering, first sorting on arguments
% 0.50/1.16
% 0.50/1.16 termordering = kbo
% 0.50/1.16
% 0.50/1.16 litapriori = 0
% 0.50/1.16 termapriori = 1
% 0.50/1.16 litaposteriori = 0
% 0.50/1.16 termaposteriori = 0
% 0.50/1.16 demodaposteriori = 0
% 0.50/1.16 ordereqreflfact = 0
% 0.50/1.16
% 0.50/1.16 litselect = negord
% 0.50/1.16
% 0.50/1.16 maxweight = 15
% 0.50/1.16 maxdepth = 30000
% 0.50/1.16 maxlength = 115
% 0.50/1.16 maxnrvars = 195
% 0.50/1.16 excuselevel = 1
% 0.50/1.16 increasemaxweight = 1
% 0.50/1.16
% 0.50/1.16 maxselected = 10000000
% 0.50/1.16 maxnrclauses = 10000000
% 0.50/1.16
% 0.50/1.16 showgenerated = 0
% 0.50/1.16 showkept = 0
% 0.50/1.16 showselected = 0
% 0.50/1.16 showdeleted = 0
% 0.50/1.16 showresimp = 1
% 0.50/1.16 showstatus = 2000
% 0.50/1.16
% 0.50/1.16 prologoutput = 1
% 0.50/1.16 nrgoals = 5000000
% 0.50/1.16 totalproof = 1
% 0.50/1.16
% 0.50/1.16 Symbols occurring in the translation:
% 0.50/1.16
% 0.50/1.16 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.50/1.16 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.50/1.16 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.50/1.16 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.50/1.16 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.50/1.16 multiply [42, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.50/1.16 inverse [43, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.50/1.16 a1 [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.50/1.16 b1 [45, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 Starting Search:
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 Bliksems!, er is een bewijs:
% 0.50/1.16 % SZS status Unsatisfiable
% 0.50/1.16 % SZS output start Refutation
% 0.50/1.16
% 0.50/1.16 clause( 0, [ =( multiply( X, multiply( multiply( Y, Z ), inverse( multiply(
% 0.50/1.16 X, Z ) ) ) ), Y ) ] )
% 0.50/1.16 .
% 0.50/1.16 clause( 1, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 ),
% 0.50/1.16 a1 ) ) ) ] )
% 0.50/1.16 .
% 0.50/1.16 clause( 2, [ =( multiply( T, multiply( Y, inverse( multiply( T, multiply(
% 0.50/1.16 multiply( Y, Z ), inverse( multiply( X, Z ) ) ) ) ) ) ), X ) ] )
% 0.50/1.16 .
% 0.50/1.16 clause( 3, [ =( multiply( X, multiply( multiply( T, multiply( multiply( Y,
% 0.50/1.16 Z ), inverse( multiply( X, Z ) ) ) ), inverse( Y ) ) ), T ) ] )
% 0.50/1.16 .
% 0.50/1.16 clause( 4, [ =( multiply( X, multiply( Y, inverse( Y ) ) ), X ) ] )
% 0.50/1.16 .
% 0.50/1.16 clause( 5, [ =( multiply( Y, multiply( X, inverse( Y ) ) ), X ) ] )
% 0.50/1.16 .
% 0.50/1.16 clause( 6, [ =( multiply( Z, multiply( multiply( T, multiply( X, inverse( Z
% 0.50/1.16 ) ) ), inverse( X ) ) ), T ) ] )
% 0.50/1.16 .
% 0.50/1.16 clause( 7, [ =( multiply( X, multiply( multiply( Z, Y ), inverse( Z ) ) ),
% 0.50/1.16 multiply( X, Y ) ) ] )
% 0.50/1.16 .
% 0.50/1.16 clause( 9, [ =( multiply( multiply( X, Y ), multiply( Z, inverse( multiply(
% 0.50/1.16 Z, Y ) ) ) ), X ) ] )
% 0.50/1.16 .
% 0.50/1.16 clause( 11, [ =( multiply( multiply( X, Y ), multiply( Z, inverse( X ) ) )
% 0.50/1.16 , multiply( Z, Y ) ) ] )
% 0.50/1.16 .
% 0.50/1.16 clause( 14, [ =( multiply( multiply( X, Z ), Y ), multiply( multiply( X, Y
% 0.50/1.16 ), Z ) ) ] )
% 0.50/1.16 .
% 0.50/1.16 clause( 17, [ =( multiply( Z, multiply( multiply( X, inverse( X ) ), Y ) )
% 0.50/1.16 , multiply( Z, Y ) ) ] )
% 0.50/1.16 .
% 0.50/1.16 clause( 19, [ =( multiply( Z, multiply( multiply( X, inverse( Z ) ), Y ) )
% 0.50/1.16 , multiply( X, Y ) ) ] )
% 0.50/1.16 .
% 0.50/1.16 clause( 23, [ =( multiply( X, inverse( multiply( Y, inverse( Y ) ) ) ), X )
% 0.50/1.16 ] )
% 0.50/1.16 .
% 0.50/1.16 clause( 27, [ =( multiply( Z, multiply( Y, inverse( multiply( Y, inverse( X
% 0.50/1.16 ) ) ) ) ), multiply( Z, X ) ) ] )
% 0.50/1.16 .
% 0.50/1.16 clause( 29, [ =( multiply( X, inverse( X ) ), multiply( Y, inverse( Y ) ) )
% 0.50/1.16 ] )
% 0.50/1.16 .
% 0.50/1.16 clause( 33, [ =( multiply( multiply( Y, inverse( Y ) ), X ), X ) ] )
% 0.50/1.16 .
% 0.50/1.16 clause( 34, [ =( multiply( multiply( Z, inverse( X ) ), X ), Z ) ] )
% 0.50/1.16 .
% 0.50/1.16 clause( 39, [ =( multiply( Y, Z ), multiply( Z, Y ) ) ] )
% 0.50/1.16 .
% 0.50/1.16 clause( 46, [ =( multiply( multiply( inverse( X ), X ), Y ), Y ) ] )
% 0.50/1.16 .
% 0.50/1.16 clause( 85, [ =( multiply( inverse( Y ), Y ), multiply( inverse( X ), X ) )
% 0.50/1.16 ] )
% 0.50/1.16 .
% 0.50/1.16 clause( 88, [ ~( =( multiply( inverse( X ), X ), multiply( inverse( a1 ),
% 0.50/1.16 a1 ) ) ) ] )
% 0.50/1.16 .
% 0.50/1.16 clause( 89, [] )
% 0.50/1.16 .
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 % SZS output end Refutation
% 0.50/1.16 found a proof!
% 0.50/1.16
% 0.50/1.16 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.50/1.16
% 0.50/1.16 initialclauses(
% 0.50/1.16 [ clause( 91, [ =( multiply( X, multiply( multiply( Y, Z ), inverse(
% 0.50/1.16 multiply( X, Z ) ) ) ), Y ) ] )
% 0.50/1.16 , clause( 92, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1
% 0.50/1.16 ), b1 ) ) ) ] )
% 0.50/1.16 ] ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 0, [ =( multiply( X, multiply( multiply( Y, Z ), inverse( multiply(
% 0.50/1.16 X, Z ) ) ) ), Y ) ] )
% 0.50/1.16 , clause( 91, [ =( multiply( X, multiply( multiply( Y, Z ), inverse(
% 0.50/1.16 multiply( X, Z ) ) ) ), Y ) ] )
% 0.50/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.50/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 eqswap(
% 0.50/1.16 clause( 95, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 )
% 0.50/1.16 , a1 ) ) ) ] )
% 0.50/1.16 , clause( 92, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1
% 0.50/1.16 ), b1 ) ) ) ] )
% 0.50/1.16 , 0, substitution( 0, [] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 1, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 ),
% 0.50/1.16 a1 ) ) ) ] )
% 0.50/1.16 , clause( 95, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1
% 0.50/1.16 ), a1 ) ) ) ] )
% 0.50/1.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 eqswap(
% 0.50/1.16 clause( 96, [ =( Y, multiply( X, multiply( multiply( Y, Z ), inverse(
% 0.50/1.16 multiply( X, Z ) ) ) ) ) ] )
% 0.50/1.16 , clause( 0, [ =( multiply( X, multiply( multiply( Y, Z ), inverse(
% 0.50/1.16 multiply( X, Z ) ) ) ), Y ) ] )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 paramod(
% 0.50/1.16 clause( 99, [ =( X, multiply( Y, multiply( Z, inverse( multiply( Y,
% 0.50/1.16 multiply( multiply( Z, T ), inverse( multiply( X, T ) ) ) ) ) ) ) ) ] )
% 0.50/1.16 , clause( 0, [ =( multiply( X, multiply( multiply( Y, Z ), inverse(
% 0.50/1.16 multiply( X, Z ) ) ) ), Y ) ] )
% 0.50/1.16 , 0, clause( 96, [ =( Y, multiply( X, multiply( multiply( Y, Z ), inverse(
% 0.50/1.16 multiply( X, Z ) ) ) ) ) ] )
% 0.50/1.16 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T )] ),
% 0.50/1.16 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, multiply( multiply( Z,
% 0.50/1.16 T ), inverse( multiply( X, T ) ) ) )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 eqswap(
% 0.50/1.16 clause( 101, [ =( multiply( Y, multiply( Z, inverse( multiply( Y, multiply(
% 0.50/1.16 multiply( Z, T ), inverse( multiply( X, T ) ) ) ) ) ) ), X ) ] )
% 0.50/1.16 , clause( 99, [ =( X, multiply( Y, multiply( Z, inverse( multiply( Y,
% 0.50/1.16 multiply( multiply( Z, T ), inverse( multiply( X, T ) ) ) ) ) ) ) ) ] )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.50/1.16 ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 2, [ =( multiply( T, multiply( Y, inverse( multiply( T, multiply(
% 0.50/1.16 multiply( Y, Z ), inverse( multiply( X, Z ) ) ) ) ) ) ), X ) ] )
% 0.50/1.16 , clause( 101, [ =( multiply( Y, multiply( Z, inverse( multiply( Y,
% 0.50/1.16 multiply( multiply( Z, T ), inverse( multiply( X, T ) ) ) ) ) ) ), X ) ]
% 0.50/1.16 )
% 0.50/1.16 , substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Y ), :=( T, Z )] ),
% 0.50/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 eqswap(
% 0.50/1.16 clause( 103, [ =( Y, multiply( X, multiply( multiply( Y, Z ), inverse(
% 0.50/1.16 multiply( X, Z ) ) ) ) ) ] )
% 0.50/1.16 , clause( 0, [ =( multiply( X, multiply( multiply( Y, Z ), inverse(
% 0.50/1.16 multiply( X, Z ) ) ) ), Y ) ] )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 paramod(
% 0.50/1.16 clause( 107, [ =( X, multiply( Y, multiply( multiply( X, multiply( multiply(
% 0.50/1.16 Z, T ), inverse( multiply( Y, T ) ) ) ), inverse( Z ) ) ) ) ] )
% 0.50/1.16 , clause( 0, [ =( multiply( X, multiply( multiply( Y, Z ), inverse(
% 0.50/1.16 multiply( X, Z ) ) ) ), Y ) ] )
% 0.50/1.16 , 0, clause( 103, [ =( Y, multiply( X, multiply( multiply( Y, Z ), inverse(
% 0.50/1.16 multiply( X, Z ) ) ) ) ) ] )
% 0.50/1.16 , 0, 16, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T )] ),
% 0.50/1.16 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, multiply( multiply( Z,
% 0.50/1.16 T ), inverse( multiply( Y, T ) ) ) )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 eqswap(
% 0.50/1.16 clause( 109, [ =( multiply( Y, multiply( multiply( X, multiply( multiply( Z
% 0.50/1.16 , T ), inverse( multiply( Y, T ) ) ) ), inverse( Z ) ) ), X ) ] )
% 0.50/1.16 , clause( 107, [ =( X, multiply( Y, multiply( multiply( X, multiply(
% 0.50/1.16 multiply( Z, T ), inverse( multiply( Y, T ) ) ) ), inverse( Z ) ) ) ) ]
% 0.50/1.16 )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.50/1.16 ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 3, [ =( multiply( X, multiply( multiply( T, multiply( multiply( Y,
% 0.50/1.16 Z ), inverse( multiply( X, Z ) ) ) ), inverse( Y ) ) ), T ) ] )
% 0.50/1.16 , clause( 109, [ =( multiply( Y, multiply( multiply( X, multiply( multiply(
% 0.50/1.16 Z, T ), inverse( multiply( Y, T ) ) ) ), inverse( Z ) ) ), X ) ] )
% 0.50/1.16 , substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] ),
% 0.50/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 eqswap(
% 0.50/1.16 clause( 111, [ =( Y, multiply( X, multiply( multiply( Y, multiply( multiply(
% 0.50/1.16 Z, T ), inverse( multiply( X, T ) ) ) ), inverse( Z ) ) ) ) ] )
% 0.50/1.16 , clause( 3, [ =( multiply( X, multiply( multiply( T, multiply( multiply( Y
% 0.50/1.16 , Z ), inverse( multiply( X, Z ) ) ) ), inverse( Y ) ) ), T ) ] )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 0.50/1.16 ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 paramod(
% 0.50/1.16 clause( 116, [ =( X, multiply( X, multiply( Y, inverse( Y ) ) ) ) ] )
% 0.50/1.16 , clause( 0, [ =( multiply( X, multiply( multiply( Y, Z ), inverse(
% 0.50/1.16 multiply( X, Z ) ) ) ), Y ) ] )
% 0.50/1.16 , 0, clause( 111, [ =( Y, multiply( X, multiply( multiply( Y, multiply(
% 0.50/1.16 multiply( Z, T ), inverse( multiply( X, T ) ) ) ), inverse( Z ) ) ) ) ]
% 0.50/1.16 )
% 0.50/1.16 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.50/1.16 substitution( 1, [ :=( X, X ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 eqswap(
% 0.50/1.16 clause( 119, [ =( multiply( X, multiply( Y, inverse( Y ) ) ), X ) ] )
% 0.50/1.16 , clause( 116, [ =( X, multiply( X, multiply( Y, inverse( Y ) ) ) ) ] )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 4, [ =( multiply( X, multiply( Y, inverse( Y ) ) ), X ) ] )
% 0.50/1.16 , clause( 119, [ =( multiply( X, multiply( Y, inverse( Y ) ) ), X ) ] )
% 0.50/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.50/1.16 )] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 eqswap(
% 0.50/1.16 clause( 123, [ =( Y, multiply( X, multiply( multiply( Y, multiply( multiply(
% 0.50/1.16 Z, T ), inverse( multiply( X, T ) ) ) ), inverse( Z ) ) ) ) ] )
% 0.50/1.16 , clause( 3, [ =( multiply( X, multiply( multiply( T, multiply( multiply( Y
% 0.50/1.16 , Z ), inverse( multiply( X, Z ) ) ) ), inverse( Y ) ) ), T ) ] )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 0.50/1.16 ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 paramod(
% 0.50/1.16 clause( 124, [ =( X, multiply( Y, multiply( X, inverse( Y ) ) ) ) ] )
% 0.50/1.16 , clause( 4, [ =( multiply( X, multiply( Y, inverse( Y ) ) ), X ) ] )
% 0.50/1.16 , 0, clause( 123, [ =( Y, multiply( X, multiply( multiply( Y, multiply(
% 0.50/1.16 multiply( Z, T ), inverse( multiply( X, T ) ) ) ), inverse( Z ) ) ) ) ]
% 0.50/1.16 )
% 0.50/1.16 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, multiply( Y, Z ) )] ),
% 0.50/1.16 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 eqswap(
% 0.50/1.16 clause( 128, [ =( multiply( Y, multiply( X, inverse( Y ) ) ), X ) ] )
% 0.50/1.16 , clause( 124, [ =( X, multiply( Y, multiply( X, inverse( Y ) ) ) ) ] )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 5, [ =( multiply( Y, multiply( X, inverse( Y ) ) ), X ) ] )
% 0.50/1.16 , clause( 128, [ =( multiply( Y, multiply( X, inverse( Y ) ) ), X ) ] )
% 0.50/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.50/1.16 )] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 eqswap(
% 0.50/1.16 clause( 133, [ =( Y, multiply( X, multiply( multiply( Y, multiply( multiply(
% 0.50/1.16 Z, T ), inverse( multiply( X, T ) ) ) ), inverse( Z ) ) ) ) ] )
% 0.50/1.16 , clause( 3, [ =( multiply( X, multiply( multiply( T, multiply( multiply( Y
% 0.50/1.16 , Z ), inverse( multiply( X, Z ) ) ) ), inverse( Y ) ) ), T ) ] )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 0.50/1.16 ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 paramod(
% 0.50/1.16 clause( 137, [ =( X, multiply( Y, multiply( multiply( X, multiply( multiply(
% 0.50/1.16 Z, multiply( T, inverse( T ) ) ), inverse( Y ) ) ), inverse( Z ) ) ) ) ]
% 0.50/1.16 )
% 0.50/1.16 , clause( 4, [ =( multiply( X, multiply( Y, inverse( Y ) ) ), X ) ] )
% 0.50/1.16 , 0, clause( 133, [ =( Y, multiply( X, multiply( multiply( Y, multiply(
% 0.50/1.16 multiply( Z, T ), inverse( multiply( X, T ) ) ) ), inverse( Z ) ) ) ) ]
% 0.50/1.16 )
% 0.50/1.16 , 0, 15, substitution( 0, [ :=( X, Y ), :=( Y, T )] ), substitution( 1, [
% 0.50/1.16 :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, multiply( T, inverse( T ) ) )] )
% 0.50/1.16 ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 paramod(
% 0.50/1.16 clause( 139, [ =( X, multiply( Y, multiply( multiply( X, multiply( Z,
% 0.50/1.16 inverse( Y ) ) ), inverse( Z ) ) ) ) ] )
% 0.50/1.16 , clause( 4, [ =( multiply( X, multiply( Y, inverse( Y ) ) ), X ) ] )
% 0.50/1.16 , 0, clause( 137, [ =( X, multiply( Y, multiply( multiply( X, multiply(
% 0.50/1.16 multiply( Z, multiply( T, inverse( T ) ) ), inverse( Y ) ) ), inverse( Z
% 0.50/1.16 ) ) ) ) ] )
% 0.50/1.16 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, T )] ), substitution( 1, [
% 0.50/1.16 :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 eqswap(
% 0.50/1.16 clause( 140, [ =( multiply( Y, multiply( multiply( X, multiply( Z, inverse(
% 0.50/1.16 Y ) ) ), inverse( Z ) ) ), X ) ] )
% 0.50/1.16 , clause( 139, [ =( X, multiply( Y, multiply( multiply( X, multiply( Z,
% 0.50/1.16 inverse( Y ) ) ), inverse( Z ) ) ) ) ] )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 6, [ =( multiply( Z, multiply( multiply( T, multiply( X, inverse( Z
% 0.50/1.16 ) ) ), inverse( X ) ) ), T ) ] )
% 0.50/1.16 , clause( 140, [ =( multiply( Y, multiply( multiply( X, multiply( Z,
% 0.50/1.16 inverse( Y ) ) ), inverse( Z ) ) ), X ) ] )
% 0.50/1.16 , substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, X )] ),
% 0.50/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 eqswap(
% 0.50/1.16 clause( 142, [ =( Y, multiply( X, multiply( multiply( Y, multiply( multiply(
% 0.50/1.16 Z, T ), inverse( multiply( X, T ) ) ) ), inverse( Z ) ) ) ) ] )
% 0.50/1.16 , clause( 3, [ =( multiply( X, multiply( multiply( T, multiply( multiply( Y
% 0.50/1.16 , Z ), inverse( multiply( X, Z ) ) ) ), inverse( Y ) ) ), T ) ] )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 0.50/1.16 ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 paramod(
% 0.50/1.16 clause( 146, [ =( multiply( X, Y ), multiply( X, multiply( multiply( Z, Y )
% 0.50/1.16 , inverse( Z ) ) ) ) ] )
% 0.50/1.16 , clause( 5, [ =( multiply( Y, multiply( X, inverse( Y ) ) ), X ) ] )
% 0.50/1.16 , 0, clause( 142, [ =( Y, multiply( X, multiply( multiply( Y, multiply(
% 0.50/1.16 multiply( Z, T ), inverse( multiply( X, T ) ) ) ), inverse( Z ) ) ) ) ]
% 0.50/1.16 )
% 0.50/1.16 , 0, 7, substitution( 0, [ :=( X, multiply( Z, Y ) ), :=( Y, multiply( X, Y
% 0.50/1.16 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, multiply( X, Y ) ), :=( Z
% 0.50/1.16 , Z ), :=( T, Y )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 eqswap(
% 0.50/1.16 clause( 150, [ =( multiply( X, multiply( multiply( Z, Y ), inverse( Z ) ) )
% 0.50/1.16 , multiply( X, Y ) ) ] )
% 0.50/1.16 , clause( 146, [ =( multiply( X, Y ), multiply( X, multiply( multiply( Z, Y
% 0.50/1.16 ), inverse( Z ) ) ) ) ] )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 7, [ =( multiply( X, multiply( multiply( Z, Y ), inverse( Z ) ) ),
% 0.50/1.16 multiply( X, Y ) ) ] )
% 0.50/1.16 , clause( 150, [ =( multiply( X, multiply( multiply( Z, Y ), inverse( Z ) )
% 0.50/1.16 ), multiply( X, Y ) ) ] )
% 0.50/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.50/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 eqswap(
% 0.50/1.16 clause( 154, [ =( T, multiply( X, multiply( Y, inverse( multiply( X,
% 0.50/1.16 multiply( multiply( Y, Z ), inverse( multiply( T, Z ) ) ) ) ) ) ) ) ] )
% 0.50/1.16 , clause( 2, [ =( multiply( T, multiply( Y, inverse( multiply( T, multiply(
% 0.50/1.16 multiply( Y, Z ), inverse( multiply( X, Z ) ) ) ) ) ) ), X ) ] )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] )
% 0.50/1.16 ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 paramod(
% 0.50/1.16 clause( 155, [ =( X, multiply( multiply( X, Y ), multiply( Z, inverse(
% 0.50/1.16 multiply( Z, Y ) ) ) ) ) ] )
% 0.50/1.16 , clause( 5, [ =( multiply( Y, multiply( X, inverse( Y ) ) ), X ) ] )
% 0.50/1.16 , 0, clause( 154, [ =( T, multiply( X, multiply( Y, inverse( multiply( X,
% 0.50/1.16 multiply( multiply( Y, Z ), inverse( multiply( T, Z ) ) ) ) ) ) ) ) ] )
% 0.50/1.16 , 0, 9, substitution( 0, [ :=( X, multiply( Z, Y ) ), :=( Y, multiply( X, Y
% 0.50/1.16 ) )] ), substitution( 1, [ :=( X, multiply( X, Y ) ), :=( Y, Z ), :=( Z
% 0.50/1.16 , Y ), :=( T, X )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 eqswap(
% 0.50/1.16 clause( 158, [ =( multiply( multiply( X, Y ), multiply( Z, inverse(
% 0.50/1.16 multiply( Z, Y ) ) ) ), X ) ] )
% 0.50/1.16 , clause( 155, [ =( X, multiply( multiply( X, Y ), multiply( Z, inverse(
% 0.50/1.16 multiply( Z, Y ) ) ) ) ) ] )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 9, [ =( multiply( multiply( X, Y ), multiply( Z, inverse( multiply(
% 0.50/1.16 Z, Y ) ) ) ), X ) ] )
% 0.50/1.16 , clause( 158, [ =( multiply( multiply( X, Y ), multiply( Z, inverse(
% 0.50/1.16 multiply( Z, Y ) ) ) ), X ) ] )
% 0.50/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.50/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 eqswap(
% 0.50/1.16 clause( 162, [ =( T, multiply( X, multiply( Y, inverse( multiply( X,
% 0.50/1.16 multiply( multiply( Y, Z ), inverse( multiply( T, Z ) ) ) ) ) ) ) ) ] )
% 0.50/1.16 , clause( 2, [ =( multiply( T, multiply( Y, inverse( multiply( T, multiply(
% 0.50/1.16 multiply( Y, Z ), inverse( multiply( X, Z ) ) ) ) ) ) ), X ) ] )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] )
% 0.50/1.16 ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 paramod(
% 0.50/1.16 clause( 167, [ =( multiply( X, Y ), multiply( multiply( Z, Y ), multiply( X
% 0.50/1.16 , inverse( Z ) ) ) ) ] )
% 0.50/1.16 , clause( 9, [ =( multiply( multiply( X, Y ), multiply( Z, inverse(
% 0.50/1.16 multiply( Z, Y ) ) ) ), X ) ] )
% 0.50/1.16 , 0, clause( 162, [ =( T, multiply( X, multiply( Y, inverse( multiply( X,
% 0.50/1.16 multiply( multiply( Y, Z ), inverse( multiply( T, Z ) ) ) ) ) ) ) ) ] )
% 0.50/1.16 , 0, 11, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, multiply( X, Y )
% 0.50/1.16 )] ), substitution( 1, [ :=( X, multiply( Z, Y ) ), :=( Y, X ), :=( Z, Y
% 0.50/1.16 ), :=( T, multiply( X, Y ) )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 eqswap(
% 0.50/1.16 clause( 170, [ =( multiply( multiply( Z, Y ), multiply( X, inverse( Z ) ) )
% 0.50/1.16 , multiply( X, Y ) ) ] )
% 0.50/1.16 , clause( 167, [ =( multiply( X, Y ), multiply( multiply( Z, Y ), multiply(
% 0.50/1.16 X, inverse( Z ) ) ) ) ] )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 11, [ =( multiply( multiply( X, Y ), multiply( Z, inverse( X ) ) )
% 0.50/1.16 , multiply( Z, Y ) ) ] )
% 0.50/1.16 , clause( 170, [ =( multiply( multiply( Z, Y ), multiply( X, inverse( Z ) )
% 0.50/1.16 ), multiply( X, Y ) ) ] )
% 0.50/1.16 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.50/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 eqswap(
% 0.50/1.16 clause( 173, [ =( multiply( Z, Y ), multiply( multiply( X, Y ), multiply( Z
% 0.50/1.16 , inverse( X ) ) ) ) ] )
% 0.50/1.16 , clause( 11, [ =( multiply( multiply( X, Y ), multiply( Z, inverse( X ) )
% 0.50/1.16 ), multiply( Z, Y ) ) ] )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 paramod(
% 0.50/1.16 clause( 176, [ =( multiply( multiply( X, Y ), Z ), multiply( multiply( X, Z
% 0.50/1.16 ), Y ) ) ] )
% 0.50/1.16 , clause( 7, [ =( multiply( X, multiply( multiply( Z, Y ), inverse( Z ) ) )
% 0.50/1.16 , multiply( X, Y ) ) ] )
% 0.50/1.16 , 0, clause( 173, [ =( multiply( Z, Y ), multiply( multiply( X, Y ),
% 0.50/1.16 multiply( Z, inverse( X ) ) ) ) ] )
% 0.50/1.16 , 0, 6, substitution( 0, [ :=( X, multiply( X, Z ) ), :=( Y, Y ), :=( Z, X
% 0.50/1.16 )] ), substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, multiply( X, Y )
% 0.50/1.16 )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 14, [ =( multiply( multiply( X, Z ), Y ), multiply( multiply( X, Y
% 0.50/1.16 ), Z ) ) ] )
% 0.50/1.16 , clause( 176, [ =( multiply( multiply( X, Y ), Z ), multiply( multiply( X
% 0.50/1.16 , Z ), Y ) ) ] )
% 0.50/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.50/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 eqswap(
% 0.50/1.16 clause( 182, [ =( multiply( X, Z ), multiply( X, multiply( multiply( Y, Z )
% 0.50/1.16 , inverse( Y ) ) ) ) ] )
% 0.50/1.16 , clause( 7, [ =( multiply( X, multiply( multiply( Z, Y ), inverse( Z ) ) )
% 0.50/1.16 , multiply( X, Y ) ) ] )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 paramod(
% 0.50/1.16 clause( 185, [ =( multiply( X, Y ), multiply( X, multiply( multiply( Z,
% 0.50/1.16 inverse( Z ) ), Y ) ) ) ] )
% 0.50/1.16 , clause( 14, [ =( multiply( multiply( X, Z ), Y ), multiply( multiply( X,
% 0.50/1.16 Y ), Z ) ) ] )
% 0.50/1.16 , 0, clause( 182, [ =( multiply( X, Z ), multiply( X, multiply( multiply( Y
% 0.50/1.16 , Z ), inverse( Y ) ) ) ) ] )
% 0.50/1.16 , 0, 6, substitution( 0, [ :=( X, Z ), :=( Y, inverse( Z ) ), :=( Z, Y )] )
% 0.50/1.16 , substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 eqswap(
% 0.50/1.16 clause( 203, [ =( multiply( X, multiply( multiply( Z, inverse( Z ) ), Y ) )
% 0.50/1.16 , multiply( X, Y ) ) ] )
% 0.50/1.16 , clause( 185, [ =( multiply( X, Y ), multiply( X, multiply( multiply( Z,
% 0.50/1.16 inverse( Z ) ), Y ) ) ) ] )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 17, [ =( multiply( Z, multiply( multiply( X, inverse( X ) ), Y ) )
% 0.50/1.16 , multiply( Z, Y ) ) ] )
% 0.50/1.16 , clause( 203, [ =( multiply( X, multiply( multiply( Z, inverse( Z ) ), Y )
% 0.50/1.16 ), multiply( X, Y ) ) ] )
% 0.50/1.16 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.50/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 eqswap(
% 0.50/1.16 clause( 208, [ =( Y, multiply( X, multiply( Y, inverse( X ) ) ) ) ] )
% 0.50/1.16 , clause( 5, [ =( multiply( Y, multiply( X, inverse( Y ) ) ), X ) ] )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 paramod(
% 0.50/1.16 clause( 210, [ =( multiply( X, Y ), multiply( Z, multiply( multiply( X,
% 0.50/1.16 inverse( Z ) ), Y ) ) ) ] )
% 0.50/1.16 , clause( 14, [ =( multiply( multiply( X, Z ), Y ), multiply( multiply( X,
% 0.50/1.16 Y ), Z ) ) ] )
% 0.50/1.16 , 0, clause( 208, [ =( Y, multiply( X, multiply( Y, inverse( X ) ) ) ) ] )
% 0.50/1.16 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, inverse( Z ) ), :=( Z, Y )] )
% 0.50/1.16 , substitution( 1, [ :=( X, Z ), :=( Y, multiply( X, Y ) )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 eqswap(
% 0.50/1.16 clause( 216, [ =( multiply( Z, multiply( multiply( X, inverse( Z ) ), Y ) )
% 0.50/1.16 , multiply( X, Y ) ) ] )
% 0.50/1.16 , clause( 210, [ =( multiply( X, Y ), multiply( Z, multiply( multiply( X,
% 0.50/1.16 inverse( Z ) ), Y ) ) ) ] )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 19, [ =( multiply( Z, multiply( multiply( X, inverse( Z ) ), Y ) )
% 0.50/1.16 , multiply( X, Y ) ) ] )
% 0.50/1.16 , clause( 216, [ =( multiply( Z, multiply( multiply( X, inverse( Z ) ), Y )
% 0.50/1.16 ), multiply( X, Y ) ) ] )
% 0.50/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.50/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 eqswap(
% 0.50/1.16 clause( 218, [ =( Y, multiply( X, multiply( multiply( Y, multiply( Z,
% 0.50/1.16 inverse( X ) ) ), inverse( Z ) ) ) ) ] )
% 0.50/1.16 , clause( 6, [ =( multiply( Z, multiply( multiply( T, multiply( X, inverse(
% 0.50/1.16 Z ) ) ), inverse( X ) ) ), T ) ] )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, X ), :=( T, Y )] )
% 0.50/1.16 ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 paramod(
% 0.50/1.16 clause( 222, [ =( X, multiply( Y, multiply( multiply( X, inverse( Y ) ),
% 0.50/1.16 inverse( multiply( Z, inverse( Z ) ) ) ) ) ) ] )
% 0.50/1.16 , clause( 17, [ =( multiply( Z, multiply( multiply( X, inverse( X ) ), Y )
% 0.50/1.16 ), multiply( Z, Y ) ) ] )
% 0.50/1.16 , 0, clause( 218, [ =( Y, multiply( X, multiply( multiply( Y, multiply( Z,
% 0.50/1.16 inverse( X ) ) ), inverse( Z ) ) ) ) ] )
% 0.50/1.16 , 0, 5, substitution( 0, [ :=( X, Z ), :=( Y, inverse( Y ) ), :=( Z, X )] )
% 0.50/1.16 , substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, multiply( Z, inverse(
% 0.50/1.16 Z ) ) )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 paramod(
% 0.50/1.16 clause( 223, [ =( X, multiply( X, inverse( multiply( Z, inverse( Z ) ) ) )
% 0.50/1.16 ) ] )
% 0.50/1.16 , clause( 19, [ =( multiply( Z, multiply( multiply( X, inverse( Z ) ), Y )
% 0.50/1.16 ), multiply( X, Y ) ) ] )
% 0.50/1.16 , 0, clause( 222, [ =( X, multiply( Y, multiply( multiply( X, inverse( Y )
% 0.50/1.16 ), inverse( multiply( Z, inverse( Z ) ) ) ) ) ) ] )
% 0.50/1.16 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, inverse( multiply( Z, inverse(
% 0.50/1.16 Z ) ) ) ), :=( Z, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=(
% 0.50/1.16 Z, Z )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 eqswap(
% 0.50/1.16 clause( 224, [ =( multiply( X, inverse( multiply( Y, inverse( Y ) ) ) ), X
% 0.50/1.16 ) ] )
% 0.50/1.16 , clause( 223, [ =( X, multiply( X, inverse( multiply( Z, inverse( Z ) ) )
% 0.50/1.16 ) ) ] )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 23, [ =( multiply( X, inverse( multiply( Y, inverse( Y ) ) ) ), X )
% 0.50/1.16 ] )
% 0.50/1.16 , clause( 224, [ =( multiply( X, inverse( multiply( Y, inverse( Y ) ) ) ),
% 0.50/1.16 X ) ] )
% 0.50/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.50/1.16 )] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 eqswap(
% 0.50/1.16 clause( 226, [ =( multiply( X, Z ), multiply( X, multiply( multiply( Y,
% 0.50/1.16 inverse( Y ) ), Z ) ) ) ] )
% 0.50/1.16 , clause( 17, [ =( multiply( Z, multiply( multiply( X, inverse( X ) ), Y )
% 0.50/1.16 ), multiply( Z, Y ) ) ] )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 paramod(
% 0.50/1.16 clause( 237, [ =( multiply( X, multiply( Y, inverse( multiply( Y, inverse(
% 0.50/1.16 Z ) ) ) ) ), multiply( X, Z ) ) ] )
% 0.50/1.16 , clause( 9, [ =( multiply( multiply( X, Y ), multiply( Z, inverse(
% 0.50/1.16 multiply( Z, Y ) ) ) ), X ) ] )
% 0.50/1.16 , 0, clause( 226, [ =( multiply( X, Z ), multiply( X, multiply( multiply( Y
% 0.50/1.16 , inverse( Y ) ), Z ) ) ) ] )
% 0.50/1.16 , 0, 12, substitution( 0, [ :=( X, Z ), :=( Y, inverse( Z ) ), :=( Z, Y )] )
% 0.50/1.16 , substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, multiply( Y, inverse(
% 0.50/1.16 multiply( Y, inverse( Z ) ) ) ) )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 27, [ =( multiply( Z, multiply( Y, inverse( multiply( Y, inverse( X
% 0.50/1.16 ) ) ) ) ), multiply( Z, X ) ) ] )
% 0.50/1.16 , clause( 237, [ =( multiply( X, multiply( Y, inverse( multiply( Y, inverse(
% 0.50/1.16 Z ) ) ) ) ), multiply( X, Z ) ) ] )
% 0.50/1.16 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.50/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 eqswap(
% 0.50/1.16 clause( 241, [ =( multiply( X, Z ), multiply( X, multiply( multiply( Y,
% 0.50/1.16 inverse( Y ) ), Z ) ) ) ] )
% 0.50/1.16 , clause( 17, [ =( multiply( Z, multiply( multiply( X, inverse( X ) ), Y )
% 0.50/1.16 ), multiply( Z, Y ) ) ] )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 paramod(
% 0.50/1.16 clause( 244, [ =( multiply( X, inverse( X ) ), multiply( Y, inverse( Y ) )
% 0.50/1.16 ) ] )
% 0.50/1.16 , clause( 5, [ =( multiply( Y, multiply( X, inverse( Y ) ) ), X ) ] )
% 0.50/1.16 , 0, clause( 241, [ =( multiply( X, Z ), multiply( X, multiply( multiply( Y
% 0.50/1.16 , inverse( Y ) ), Z ) ) ) ] )
% 0.50/1.16 , 0, 5, substitution( 0, [ :=( X, multiply( Y, inverse( Y ) ) ), :=( Y, X )] )
% 0.50/1.16 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, inverse( X ) )] )
% 0.50/1.16 ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 29, [ =( multiply( X, inverse( X ) ), multiply( Y, inverse( Y ) ) )
% 0.50/1.16 ] )
% 0.50/1.16 , clause( 244, [ =( multiply( X, inverse( X ) ), multiply( Y, inverse( Y )
% 0.50/1.16 ) ) ] )
% 0.50/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.50/1.16 )] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 eqswap(
% 0.50/1.16 clause( 248, [ =( X, multiply( multiply( X, Y ), multiply( Z, inverse(
% 0.50/1.16 multiply( Z, Y ) ) ) ) ) ] )
% 0.50/1.16 , clause( 9, [ =( multiply( multiply( X, Y ), multiply( Z, inverse(
% 0.50/1.16 multiply( Z, Y ) ) ) ), X ) ] )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 paramod(
% 0.50/1.16 clause( 250, [ =( X, multiply( multiply( Z, inverse( Z ) ), multiply( Y,
% 0.50/1.16 inverse( multiply( Y, inverse( X ) ) ) ) ) ) ] )
% 0.50/1.16 , clause( 29, [ =( multiply( X, inverse( X ) ), multiply( Y, inverse( Y ) )
% 0.50/1.16 ) ] )
% 0.50/1.16 , 0, clause( 248, [ =( X, multiply( multiply( X, Y ), multiply( Z, inverse(
% 0.50/1.16 multiply( Z, Y ) ) ) ) ) ] )
% 0.50/1.16 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [
% 0.50/1.16 :=( X, X ), :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 paramod(
% 0.50/1.16 clause( 252, [ =( X, multiply( multiply( Y, inverse( Y ) ), X ) ) ] )
% 0.50/1.16 , clause( 27, [ =( multiply( Z, multiply( Y, inverse( multiply( Y, inverse(
% 0.50/1.16 X ) ) ) ) ), multiply( Z, X ) ) ] )
% 0.50/1.16 , 0, clause( 250, [ =( X, multiply( multiply( Z, inverse( Z ) ), multiply(
% 0.50/1.16 Y, inverse( multiply( Y, inverse( X ) ) ) ) ) ) ] )
% 0.50/1.16 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, multiply( Y,
% 0.50/1.16 inverse( Y ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y
% 0.50/1.16 )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 eqswap(
% 0.50/1.16 clause( 253, [ =( multiply( multiply( Y, inverse( Y ) ), X ), X ) ] )
% 0.50/1.16 , clause( 252, [ =( X, multiply( multiply( Y, inverse( Y ) ), X ) ) ] )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 33, [ =( multiply( multiply( Y, inverse( Y ) ), X ), X ) ] )
% 0.50/1.16 , clause( 253, [ =( multiply( multiply( Y, inverse( Y ) ), X ), X ) ] )
% 0.50/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.50/1.16 )] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 eqswap(
% 0.50/1.16 clause( 254, [ =( X, multiply( multiply( X, Y ), multiply( Z, inverse(
% 0.50/1.16 multiply( Z, Y ) ) ) ) ) ] )
% 0.50/1.16 , clause( 9, [ =( multiply( multiply( X, Y ), multiply( Z, inverse(
% 0.50/1.16 multiply( Z, Y ) ) ) ), X ) ] )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 paramod(
% 0.50/1.16 clause( 257, [ =( X, multiply( multiply( X, inverse( Y ) ), multiply( Y,
% 0.50/1.16 inverse( multiply( Z, inverse( Z ) ) ) ) ) ) ] )
% 0.50/1.16 , clause( 29, [ =( multiply( X, inverse( X ) ), multiply( Y, inverse( Y ) )
% 0.50/1.16 ) ] )
% 0.50/1.16 , 0, clause( 254, [ =( X, multiply( multiply( X, Y ), multiply( Z, inverse(
% 0.50/1.16 multiply( Z, Y ) ) ) ) ) ] )
% 0.50/1.16 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.50/1.16 :=( X, X ), :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 paramod(
% 0.50/1.16 clause( 258, [ =( X, multiply( multiply( X, inverse( Y ) ), Y ) ) ] )
% 0.50/1.16 , clause( 23, [ =( multiply( X, inverse( multiply( Y, inverse( Y ) ) ) ), X
% 0.50/1.16 ) ] )
% 0.50/1.16 , 0, clause( 257, [ =( X, multiply( multiply( X, inverse( Y ) ), multiply(
% 0.50/1.16 Y, inverse( multiply( Z, inverse( Z ) ) ) ) ) ) ] )
% 0.50/1.16 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.50/1.16 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 eqswap(
% 0.50/1.16 clause( 259, [ =( multiply( multiply( X, inverse( Y ) ), Y ), X ) ] )
% 0.50/1.16 , clause( 258, [ =( X, multiply( multiply( X, inverse( Y ) ), Y ) ) ] )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 34, [ =( multiply( multiply( Z, inverse( X ) ), X ), Z ) ] )
% 0.50/1.16 , clause( 259, [ =( multiply( multiply( X, inverse( Y ) ), Y ), X ) ] )
% 0.50/1.16 , substitution( 0, [ :=( X, Z ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.50/1.16 )] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 paramod(
% 0.50/1.16 clause( 274, [ =( multiply( multiply( multiply( X, inverse( X ) ), Y ), Z )
% 0.50/1.16 , multiply( Z, Y ) ) ] )
% 0.50/1.16 , clause( 33, [ =( multiply( multiply( Y, inverse( Y ) ), X ), X ) ] )
% 0.50/1.16 , 0, clause( 14, [ =( multiply( multiply( X, Z ), Y ), multiply( multiply(
% 0.50/1.16 X, Y ), Z ) ) ] )
% 0.50/1.16 , 0, 10, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 0.50/1.16 :=( X, multiply( X, inverse( X ) ) ), :=( Y, Z ), :=( Z, Y )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 paramod(
% 0.50/1.16 clause( 276, [ =( multiply( Y, Z ), multiply( Z, Y ) ) ] )
% 0.50/1.16 , clause( 33, [ =( multiply( multiply( Y, inverse( Y ) ), X ), X ) ] )
% 0.50/1.16 , 0, clause( 274, [ =( multiply( multiply( multiply( X, inverse( X ) ), Y )
% 0.50/1.16 , Z ), multiply( Z, Y ) ) ] )
% 0.50/1.16 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.50/1.16 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 39, [ =( multiply( Y, Z ), multiply( Z, Y ) ) ] )
% 0.50/1.16 , clause( 276, [ =( multiply( Y, Z ), multiply( Z, Y ) ) ] )
% 0.50/1.16 , substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z )] ),
% 0.50/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 eqswap(
% 0.50/1.16 clause( 277, [ =( Y, multiply( multiply( X, inverse( X ) ), Y ) ) ] )
% 0.50/1.16 , clause( 33, [ =( multiply( multiply( Y, inverse( Y ) ), X ), X ) ] )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 paramod(
% 0.50/1.16 clause( 279, [ =( X, multiply( multiply( inverse( Y ), Y ), X ) ) ] )
% 0.50/1.16 , clause( 39, [ =( multiply( Y, Z ), multiply( Z, Y ) ) ] )
% 0.50/1.16 , 0, clause( 277, [ =( Y, multiply( multiply( X, inverse( X ) ), Y ) ) ] )
% 0.50/1.16 , 0, 3, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, inverse( Y ) )] )
% 0.50/1.16 , substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 eqswap(
% 0.50/1.16 clause( 285, [ =( multiply( multiply( inverse( Y ), Y ), X ), X ) ] )
% 0.50/1.16 , clause( 279, [ =( X, multiply( multiply( inverse( Y ), Y ), X ) ) ] )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 46, [ =( multiply( multiply( inverse( X ), X ), Y ), Y ) ] )
% 0.50/1.16 , clause( 285, [ =( multiply( multiply( inverse( Y ), Y ), X ), X ) ] )
% 0.50/1.16 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.50/1.16 )] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 eqswap(
% 0.50/1.16 clause( 287, [ =( X, multiply( multiply( X, inverse( Y ) ), Y ) ) ] )
% 0.50/1.16 , clause( 34, [ =( multiply( multiply( Z, inverse( X ) ), X ), Z ) ] )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 paramod(
% 0.50/1.16 clause( 291, [ =( multiply( inverse( X ), X ), multiply( inverse( Y ), Y )
% 0.50/1.16 ) ] )
% 0.50/1.16 , clause( 46, [ =( multiply( multiply( inverse( X ), X ), Y ), Y ) ] )
% 0.50/1.16 , 0, clause( 287, [ =( X, multiply( multiply( X, inverse( Y ) ), Y ) ) ] )
% 0.50/1.16 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, inverse( Y ) )] ),
% 0.50/1.16 substitution( 1, [ :=( X, multiply( inverse( X ), X ) ), :=( Y, Y )] )
% 0.50/1.16 ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 85, [ =( multiply( inverse( Y ), Y ), multiply( inverse( X ), X ) )
% 0.50/1.16 ] )
% 0.50/1.16 , clause( 291, [ =( multiply( inverse( X ), X ), multiply( inverse( Y ), Y
% 0.50/1.16 ) ) ] )
% 0.50/1.16 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.50/1.16 )] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 eqswap(
% 0.50/1.16 clause( 293, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 )
% 0.50/1.16 , b1 ) ) ) ] )
% 0.50/1.16 , clause( 1, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 )
% 0.50/1.16 , a1 ) ) ) ] )
% 0.50/1.16 , 0, substitution( 0, [] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 paramod(
% 0.50/1.16 clause( 295, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( X )
% 0.50/1.16 , X ) ) ) ] )
% 0.50/1.16 , clause( 85, [ =( multiply( inverse( Y ), Y ), multiply( inverse( X ), X )
% 0.50/1.16 ) ] )
% 0.50/1.16 , 0, clause( 293, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse(
% 0.50/1.16 b1 ), b1 ) ) ) ] )
% 0.50/1.16 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, b1 )] ), substitution( 1, [] )
% 0.50/1.16 ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 paramod(
% 0.50/1.16 clause( 296, [ ~( =( multiply( inverse( Y ), Y ), multiply( inverse( X ), X
% 0.50/1.16 ) ) ) ] )
% 0.50/1.16 , clause( 85, [ =( multiply( inverse( Y ), Y ), multiply( inverse( X ), X )
% 0.50/1.16 ) ] )
% 0.50/1.16 , 0, clause( 295, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse(
% 0.50/1.16 X ), X ) ) ) ] )
% 0.50/1.16 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, a1 )] ), substitution( 1, [
% 0.50/1.16 :=( X, X )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 88, [ ~( =( multiply( inverse( X ), X ), multiply( inverse( a1 ),
% 0.50/1.16 a1 ) ) ) ] )
% 0.50/1.16 , clause( 296, [ ~( =( multiply( inverse( Y ), Y ), multiply( inverse( X )
% 0.50/1.16 , X ) ) ) ] )
% 0.50/1.16 , substitution( 0, [ :=( X, a1 ), :=( Y, X )] ), permutation( 0, [ ==>( 0,
% 0.50/1.16 0 )] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 eqswap(
% 0.50/1.16 clause( 297, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( X )
% 0.50/1.16 , X ) ) ) ] )
% 0.50/1.16 , clause( 88, [ ~( =( multiply( inverse( X ), X ), multiply( inverse( a1 )
% 0.50/1.16 , a1 ) ) ) ] )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, X )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 eqrefl(
% 0.50/1.16 clause( 298, [] )
% 0.50/1.16 , clause( 297, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( X
% 0.50/1.16 ), X ) ) ) ] )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, a1 )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 89, [] )
% 0.50/1.16 , clause( 298, [] )
% 0.50/1.16 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 end.
% 0.50/1.16
% 0.50/1.16 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.50/1.16
% 0.50/1.16 Memory use:
% 0.50/1.16
% 0.50/1.16 space for terms: 1083
% 0.50/1.16 space for clauses: 9429
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 clauses generated: 996
% 0.50/1.16 clauses kept: 90
% 0.50/1.16 clauses selected: 22
% 0.50/1.16 clauses deleted: 2
% 0.50/1.16 clauses inuse deleted: 0
% 0.50/1.16
% 0.50/1.16 subsentry: 1299
% 0.50/1.16 literals s-matched: 374
% 0.50/1.16 literals matched: 317
% 0.50/1.16 full subsumption: 0
% 0.50/1.16
% 0.50/1.16 checksum: 1026551671
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 Bliksem ended
%------------------------------------------------------------------------------