TSTP Solution File: GRP515-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP515-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 07:37:25 EDT 2022
% Result : Unsatisfiable 0.45s 1.18s
% Output : Refutation 0.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP515-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Mon Jun 13 22:17:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.45/1.18 *** allocated 10000 integers for termspace/termends
% 0.45/1.18 *** allocated 10000 integers for clauses
% 0.45/1.18 *** allocated 10000 integers for justifications
% 0.45/1.18 Bliksem 1.12
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 Automatic Strategy Selection
% 0.45/1.18
% 0.45/1.18 Clauses:
% 0.45/1.18 [
% 0.45/1.18 [ =( multiply( X, multiply( multiply( Y, Z ), inverse( multiply( X, Z )
% 0.45/1.18 ) ) ), Y ) ],
% 0.45/1.18 [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3, multiply( b3,
% 0.45/1.18 c3 ) ) ) ) ]
% 0.45/1.18 ] .
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 percentage equality = 1.000000, percentage horn = 1.000000
% 0.45/1.18 This is a pure equality problem
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 Options Used:
% 0.45/1.18
% 0.45/1.18 useres = 1
% 0.45/1.18 useparamod = 1
% 0.45/1.18 useeqrefl = 1
% 0.45/1.18 useeqfact = 1
% 0.45/1.18 usefactor = 1
% 0.45/1.18 usesimpsplitting = 0
% 0.45/1.18 usesimpdemod = 5
% 0.45/1.18 usesimpres = 3
% 0.45/1.18
% 0.45/1.18 resimpinuse = 1000
% 0.45/1.18 resimpclauses = 20000
% 0.45/1.18 substype = eqrewr
% 0.45/1.18 backwardsubs = 1
% 0.45/1.18 selectoldest = 5
% 0.45/1.18
% 0.45/1.18 litorderings [0] = split
% 0.45/1.18 litorderings [1] = extend the termordering, first sorting on arguments
% 0.45/1.18
% 0.45/1.18 termordering = kbo
% 0.45/1.18
% 0.45/1.18 litapriori = 0
% 0.45/1.18 termapriori = 1
% 0.45/1.18 litaposteriori = 0
% 0.45/1.18 termaposteriori = 0
% 0.45/1.18 demodaposteriori = 0
% 0.45/1.18 ordereqreflfact = 0
% 0.45/1.18
% 0.45/1.18 litselect = negord
% 0.45/1.18
% 0.45/1.18 maxweight = 15
% 0.45/1.18 maxdepth = 30000
% 0.45/1.18 maxlength = 115
% 0.45/1.18 maxnrvars = 195
% 0.45/1.18 excuselevel = 1
% 0.45/1.18 increasemaxweight = 1
% 0.45/1.18
% 0.45/1.18 maxselected = 10000000
% 0.45/1.18 maxnrclauses = 10000000
% 0.45/1.18
% 0.45/1.18 showgenerated = 0
% 0.45/1.18 showkept = 0
% 0.45/1.18 showselected = 0
% 0.45/1.18 showdeleted = 0
% 0.45/1.18 showresimp = 1
% 0.45/1.18 showstatus = 2000
% 0.45/1.18
% 0.45/1.18 prologoutput = 1
% 0.45/1.18 nrgoals = 5000000
% 0.45/1.18 totalproof = 1
% 0.45/1.18
% 0.45/1.18 Symbols occurring in the translation:
% 0.45/1.18
% 0.45/1.18 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.45/1.18 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.45/1.18 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.45/1.18 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.45/1.18 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.45/1.18 multiply [42, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.45/1.18 inverse [43, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.45/1.18 a3 [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.45/1.18 b3 [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.45/1.18 c3 [46, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 Starting Search:
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 Bliksems!, er is een bewijs:
% 0.45/1.18 % SZS status Unsatisfiable
% 0.45/1.18 % SZS output start Refutation
% 0.45/1.18
% 0.45/1.18 clause( 0, [ =( multiply( X, multiply( multiply( Y, Z ), inverse( multiply(
% 0.45/1.18 X, Z ) ) ) ), Y ) ] )
% 0.45/1.18 .
% 0.45/1.18 clause( 1, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.45/1.18 a3, b3 ), c3 ) ) ) ] )
% 0.45/1.18 .
% 0.45/1.18 clause( 2, [ =( multiply( T, multiply( Y, inverse( multiply( T, multiply(
% 0.45/1.18 multiply( Y, Z ), inverse( multiply( X, Z ) ) ) ) ) ) ), X ) ] )
% 0.45/1.18 .
% 0.45/1.18 clause( 3, [ =( multiply( X, multiply( multiply( T, multiply( multiply( Y,
% 0.45/1.18 Z ), inverse( multiply( X, Z ) ) ) ), inverse( Y ) ) ), T ) ] )
% 0.45/1.18 .
% 0.45/1.18 clause( 4, [ =( multiply( X, multiply( Y, inverse( Y ) ) ), X ) ] )
% 0.45/1.18 .
% 0.45/1.18 clause( 5, [ =( multiply( Y, multiply( X, inverse( Y ) ) ), X ) ] )
% 0.45/1.18 .
% 0.45/1.18 clause( 7, [ =( multiply( X, multiply( multiply( Z, Y ), inverse( Z ) ) ),
% 0.45/1.18 multiply( X, Y ) ) ] )
% 0.45/1.18 .
% 0.45/1.18 clause( 9, [ =( multiply( multiply( X, Y ), multiply( Z, inverse( multiply(
% 0.45/1.18 Z, Y ) ) ) ), X ) ] )
% 0.45/1.18 .
% 0.45/1.18 clause( 11, [ =( multiply( multiply( X, Y ), multiply( Z, inverse( X ) ) )
% 0.45/1.18 , multiply( Z, Y ) ) ] )
% 0.45/1.18 .
% 0.45/1.18 clause( 14, [ =( multiply( multiply( X, Z ), Y ), multiply( multiply( X, Y
% 0.45/1.18 ), Z ) ) ] )
% 0.45/1.18 .
% 0.45/1.18 clause( 17, [ =( multiply( Z, multiply( multiply( X, inverse( X ) ), Y ) )
% 0.45/1.18 , multiply( Z, Y ) ) ] )
% 0.45/1.18 .
% 0.45/1.18 clause( 27, [ =( multiply( Z, multiply( Y, inverse( multiply( Y, inverse( X
% 0.45/1.18 ) ) ) ) ), multiply( Z, X ) ) ] )
% 0.45/1.18 .
% 0.45/1.18 clause( 29, [ =( multiply( X, inverse( X ) ), multiply( Y, inverse( Y ) ) )
% 0.45/1.18 ] )
% 0.45/1.18 .
% 0.45/1.18 clause( 33, [ =( multiply( multiply( Y, inverse( Y ) ), X ), X ) ] )
% 0.45/1.18 .
% 0.45/1.18 clause( 39, [ =( multiply( Y, Z ), multiply( Z, Y ) ) ] )
% 0.45/1.18 .
% 0.45/1.18 clause( 52, [ =( multiply( Z, multiply( X, Y ) ), multiply( multiply( X, Z
% 0.45/1.18 ), Y ) ) ] )
% 0.45/1.18 .
% 0.45/1.18 clause( 53, [ =( multiply( multiply( Y, X ), Z ), multiply( multiply( X, Z
% 0.45/1.18 ), Y ) ) ] )
% 0.45/1.18 .
% 0.45/1.18 clause( 115, [ =( multiply( multiply( Y, Z ), X ), multiply( multiply( X, Z
% 0.45/1.18 ), Y ) ) ] )
% 0.45/1.18 .
% 0.45/1.18 clause( 117, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( multiply(
% 0.45/1.18 b3, a3 ), c3 ) ) ) ] )
% 0.45/1.18 .
% 0.45/1.18 clause( 128, [ =( multiply( multiply( Y, Z ), X ), multiply( multiply( Z, Y
% 0.45/1.18 ), X ) ) ] )
% 0.45/1.18 .
% 0.45/1.18 clause( 133, [] )
% 0.45/1.18 .
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 % SZS output end Refutation
% 0.45/1.18 found a proof!
% 0.45/1.18
% 0.45/1.18 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.45/1.18
% 0.45/1.18 initialclauses(
% 0.45/1.18 [ clause( 135, [ =( multiply( X, multiply( multiply( Y, Z ), inverse(
% 0.45/1.18 multiply( X, Z ) ) ) ), Y ) ] )
% 0.45/1.18 , clause( 136, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3,
% 0.45/1.18 multiply( b3, c3 ) ) ) ) ] )
% 0.45/1.18 ] ).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 subsumption(
% 0.45/1.18 clause( 0, [ =( multiply( X, multiply( multiply( Y, Z ), inverse( multiply(
% 0.45/1.18 X, Z ) ) ) ), Y ) ] )
% 0.45/1.18 , clause( 135, [ =( multiply( X, multiply( multiply( Y, Z ), inverse(
% 0.45/1.18 multiply( X, Z ) ) ) ), Y ) ] )
% 0.45/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.45/1.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 eqswap(
% 0.45/1.18 clause( 139, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.45/1.18 a3, b3 ), c3 ) ) ) ] )
% 0.45/1.18 , clause( 136, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3,
% 0.45/1.18 multiply( b3, c3 ) ) ) ) ] )
% 0.45/1.18 , 0, substitution( 0, [] )).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 subsumption(
% 0.45/1.18 clause( 1, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.45/1.18 a3, b3 ), c3 ) ) ) ] )
% 0.45/1.18 , clause( 139, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 0.45/1.18 multiply( a3, b3 ), c3 ) ) ) ] )
% 0.45/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 eqswap(
% 0.45/1.18 clause( 140, [ =( Y, multiply( X, multiply( multiply( Y, Z ), inverse(
% 0.45/1.18 multiply( X, Z ) ) ) ) ) ] )
% 0.45/1.18 , clause( 0, [ =( multiply( X, multiply( multiply( Y, Z ), inverse(
% 0.45/1.18 multiply( X, Z ) ) ) ), Y ) ] )
% 0.45/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 paramod(
% 0.45/1.18 clause( 143, [ =( X, multiply( Y, multiply( Z, inverse( multiply( Y,
% 0.45/1.18 multiply( multiply( Z, T ), inverse( multiply( X, T ) ) ) ) ) ) ) ) ] )
% 0.45/1.18 , clause( 0, [ =( multiply( X, multiply( multiply( Y, Z ), inverse(
% 0.45/1.18 multiply( X, Z ) ) ) ), Y ) ] )
% 0.45/1.18 , 0, clause( 140, [ =( Y, multiply( X, multiply( multiply( Y, Z ), inverse(
% 0.45/1.18 multiply( X, Z ) ) ) ) ) ] )
% 0.45/1.18 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T )] ),
% 0.45/1.18 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, multiply( multiply( Z,
% 0.45/1.18 T ), inverse( multiply( X, T ) ) ) )] )).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 eqswap(
% 0.45/1.18 clause( 145, [ =( multiply( Y, multiply( Z, inverse( multiply( Y, multiply(
% 0.45/1.18 multiply( Z, T ), inverse( multiply( X, T ) ) ) ) ) ) ), X ) ] )
% 0.45/1.18 , clause( 143, [ =( X, multiply( Y, multiply( Z, inverse( multiply( Y,
% 0.45/1.18 multiply( multiply( Z, T ), inverse( multiply( X, T ) ) ) ) ) ) ) ) ] )
% 0.45/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.45/1.18 ).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 subsumption(
% 0.45/1.18 clause( 2, [ =( multiply( T, multiply( Y, inverse( multiply( T, multiply(
% 0.45/1.18 multiply( Y, Z ), inverse( multiply( X, Z ) ) ) ) ) ) ), X ) ] )
% 0.45/1.18 , clause( 145, [ =( multiply( Y, multiply( Z, inverse( multiply( Y,
% 0.45/1.18 multiply( multiply( Z, T ), inverse( multiply( X, T ) ) ) ) ) ) ), X ) ]
% 0.45/1.18 )
% 0.45/1.18 , substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Y ), :=( T, Z )] ),
% 0.45/1.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 eqswap(
% 0.45/1.18 clause( 147, [ =( Y, multiply( X, multiply( multiply( Y, Z ), inverse(
% 0.45/1.18 multiply( X, Z ) ) ) ) ) ] )
% 0.45/1.18 , clause( 0, [ =( multiply( X, multiply( multiply( Y, Z ), inverse(
% 0.45/1.18 multiply( X, Z ) ) ) ), Y ) ] )
% 0.45/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 paramod(
% 0.45/1.18 clause( 151, [ =( X, multiply( Y, multiply( multiply( X, multiply( multiply(
% 0.45/1.18 Z, T ), inverse( multiply( Y, T ) ) ) ), inverse( Z ) ) ) ) ] )
% 0.45/1.18 , clause( 0, [ =( multiply( X, multiply( multiply( Y, Z ), inverse(
% 0.45/1.18 multiply( X, Z ) ) ) ), Y ) ] )
% 0.45/1.18 , 0, clause( 147, [ =( Y, multiply( X, multiply( multiply( Y, Z ), inverse(
% 0.45/1.18 multiply( X, Z ) ) ) ) ) ] )
% 0.45/1.18 , 0, 16, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T )] ),
% 0.45/1.18 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, multiply( multiply( Z,
% 0.45/1.18 T ), inverse( multiply( Y, T ) ) ) )] )).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 eqswap(
% 0.45/1.18 clause( 153, [ =( multiply( Y, multiply( multiply( X, multiply( multiply( Z
% 0.45/1.18 , T ), inverse( multiply( Y, T ) ) ) ), inverse( Z ) ) ), X ) ] )
% 0.45/1.18 , clause( 151, [ =( X, multiply( Y, multiply( multiply( X, multiply(
% 0.45/1.18 multiply( Z, T ), inverse( multiply( Y, T ) ) ) ), inverse( Z ) ) ) ) ]
% 0.45/1.18 )
% 0.45/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.45/1.18 ).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 subsumption(
% 0.45/1.18 clause( 3, [ =( multiply( X, multiply( multiply( T, multiply( multiply( Y,
% 0.45/1.18 Z ), inverse( multiply( X, Z ) ) ) ), inverse( Y ) ) ), T ) ] )
% 0.45/1.18 , clause( 153, [ =( multiply( Y, multiply( multiply( X, multiply( multiply(
% 0.45/1.18 Z, T ), inverse( multiply( Y, T ) ) ) ), inverse( Z ) ) ), X ) ] )
% 0.45/1.18 , substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] ),
% 0.45/1.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 eqswap(
% 0.45/1.18 clause( 155, [ =( Y, multiply( X, multiply( multiply( Y, multiply( multiply(
% 0.45/1.18 Z, T ), inverse( multiply( X, T ) ) ) ), inverse( Z ) ) ) ) ] )
% 0.45/1.18 , clause( 3, [ =( multiply( X, multiply( multiply( T, multiply( multiply( Y
% 0.45/1.18 , Z ), inverse( multiply( X, Z ) ) ) ), inverse( Y ) ) ), T ) ] )
% 0.45/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 0.45/1.18 ).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 paramod(
% 0.45/1.18 clause( 160, [ =( X, multiply( X, multiply( Y, inverse( Y ) ) ) ) ] )
% 0.45/1.18 , clause( 0, [ =( multiply( X, multiply( multiply( Y, Z ), inverse(
% 0.45/1.18 multiply( X, Z ) ) ) ), Y ) ] )
% 0.45/1.18 , 0, clause( 155, [ =( Y, multiply( X, multiply( multiply( Y, multiply(
% 0.45/1.18 multiply( Z, T ), inverse( multiply( X, T ) ) ) ), inverse( Z ) ) ) ) ]
% 0.45/1.18 )
% 0.45/1.18 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.45/1.18 substitution( 1, [ :=( X, X ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 eqswap(
% 0.45/1.18 clause( 163, [ =( multiply( X, multiply( Y, inverse( Y ) ) ), X ) ] )
% 0.45/1.18 , clause( 160, [ =( X, multiply( X, multiply( Y, inverse( Y ) ) ) ) ] )
% 0.45/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 subsumption(
% 0.45/1.18 clause( 4, [ =( multiply( X, multiply( Y, inverse( Y ) ) ), X ) ] )
% 0.45/1.18 , clause( 163, [ =( multiply( X, multiply( Y, inverse( Y ) ) ), X ) ] )
% 0.45/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.45/1.18 )] ) ).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 eqswap(
% 0.45/1.18 clause( 167, [ =( Y, multiply( X, multiply( multiply( Y, multiply( multiply(
% 0.45/1.18 Z, T ), inverse( multiply( X, T ) ) ) ), inverse( Z ) ) ) ) ] )
% 0.45/1.18 , clause( 3, [ =( multiply( X, multiply( multiply( T, multiply( multiply( Y
% 0.45/1.18 , Z ), inverse( multiply( X, Z ) ) ) ), inverse( Y ) ) ), T ) ] )
% 0.45/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 0.45/1.18 ).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 paramod(
% 0.45/1.18 clause( 168, [ =( X, multiply( Y, multiply( X, inverse( Y ) ) ) ) ] )
% 0.45/1.18 , clause( 4, [ =( multiply( X, multiply( Y, inverse( Y ) ) ), X ) ] )
% 0.45/1.18 , 0, clause( 167, [ =( Y, multiply( X, multiply( multiply( Y, multiply(
% 0.45/1.18 multiply( Z, T ), inverse( multiply( X, T ) ) ) ), inverse( Z ) ) ) ) ]
% 0.45/1.18 )
% 0.45/1.18 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, multiply( Y, Z ) )] ),
% 0.45/1.18 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 eqswap(
% 0.45/1.18 clause( 172, [ =( multiply( Y, multiply( X, inverse( Y ) ) ), X ) ] )
% 0.45/1.18 , clause( 168, [ =( X, multiply( Y, multiply( X, inverse( Y ) ) ) ) ] )
% 0.45/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 subsumption(
% 0.45/1.18 clause( 5, [ =( multiply( Y, multiply( X, inverse( Y ) ) ), X ) ] )
% 0.45/1.18 , clause( 172, [ =( multiply( Y, multiply( X, inverse( Y ) ) ), X ) ] )
% 0.45/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.45/1.18 )] ) ).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 eqswap(
% 0.45/1.18 clause( 177, [ =( Y, multiply( X, multiply( multiply( Y, multiply( multiply(
% 0.45/1.18 Z, T ), inverse( multiply( X, T ) ) ) ), inverse( Z ) ) ) ) ] )
% 0.45/1.18 , clause( 3, [ =( multiply( X, multiply( multiply( T, multiply( multiply( Y
% 0.45/1.18 , Z ), inverse( multiply( X, Z ) ) ) ), inverse( Y ) ) ), T ) ] )
% 0.45/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 0.45/1.18 ).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 paramod(
% 0.45/1.18 clause( 181, [ =( multiply( X, Y ), multiply( X, multiply( multiply( Z, Y )
% 0.45/1.18 , inverse( Z ) ) ) ) ] )
% 0.45/1.18 , clause( 5, [ =( multiply( Y, multiply( X, inverse( Y ) ) ), X ) ] )
% 0.45/1.18 , 0, clause( 177, [ =( Y, multiply( X, multiply( multiply( Y, multiply(
% 0.45/1.18 multiply( Z, T ), inverse( multiply( X, T ) ) ) ), inverse( Z ) ) ) ) ]
% 0.45/1.18 )
% 0.45/1.18 , 0, 7, substitution( 0, [ :=( X, multiply( Z, Y ) ), :=( Y, multiply( X, Y
% 0.45/1.18 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, multiply( X, Y ) ), :=( Z
% 0.45/1.18 , Z ), :=( T, Y )] )).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 eqswap(
% 0.45/1.18 clause( 185, [ =( multiply( X, multiply( multiply( Z, Y ), inverse( Z ) ) )
% 0.45/1.18 , multiply( X, Y ) ) ] )
% 0.45/1.18 , clause( 181, [ =( multiply( X, Y ), multiply( X, multiply( multiply( Z, Y
% 0.45/1.18 ), inverse( Z ) ) ) ) ] )
% 0.45/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 subsumption(
% 0.45/1.18 clause( 7, [ =( multiply( X, multiply( multiply( Z, Y ), inverse( Z ) ) ),
% 0.45/1.18 multiply( X, Y ) ) ] )
% 0.45/1.18 , clause( 185, [ =( multiply( X, multiply( multiply( Z, Y ), inverse( Z ) )
% 0.45/1.18 ), multiply( X, Y ) ) ] )
% 0.45/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.45/1.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 eqswap(
% 0.45/1.18 clause( 189, [ =( T, multiply( X, multiply( Y, inverse( multiply( X,
% 0.45/1.18 multiply( multiply( Y, Z ), inverse( multiply( T, Z ) ) ) ) ) ) ) ) ] )
% 0.45/1.18 , clause( 2, [ =( multiply( T, multiply( Y, inverse( multiply( T, multiply(
% 0.45/1.18 multiply( Y, Z ), inverse( multiply( X, Z ) ) ) ) ) ) ), X ) ] )
% 0.45/1.18 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] )
% 0.45/1.18 ).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 paramod(
% 0.45/1.18 clause( 190, [ =( X, multiply( multiply( X, Y ), multiply( Z, inverse(
% 0.45/1.18 multiply( Z, Y ) ) ) ) ) ] )
% 0.45/1.18 , clause( 5, [ =( multiply( Y, multiply( X, inverse( Y ) ) ), X ) ] )
% 0.45/1.18 , 0, clause( 189, [ =( T, multiply( X, multiply( Y, inverse( multiply( X,
% 0.45/1.18 multiply( multiply( Y, Z ), inverse( multiply( T, Z ) ) ) ) ) ) ) ) ] )
% 0.45/1.18 , 0, 9, substitution( 0, [ :=( X, multiply( Z, Y ) ), :=( Y, multiply( X, Y
% 0.45/1.18 ) )] ), substitution( 1, [ :=( X, multiply( X, Y ) ), :=( Y, Z ), :=( Z
% 0.45/1.18 , Y ), :=( T, X )] )).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 eqswap(
% 0.45/1.18 clause( 193, [ =( multiply( multiply( X, Y ), multiply( Z, inverse(
% 0.45/1.18 multiply( Z, Y ) ) ) ), X ) ] )
% 0.45/1.18 , clause( 190, [ =( X, multiply( multiply( X, Y ), multiply( Z, inverse(
% 0.45/1.18 multiply( Z, Y ) ) ) ) ) ] )
% 0.45/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 subsumption(
% 0.45/1.18 clause( 9, [ =( multiply( multiply( X, Y ), multiply( Z, inverse( multiply(
% 0.45/1.18 Z, Y ) ) ) ), X ) ] )
% 0.45/1.18 , clause( 193, [ =( multiply( multiply( X, Y ), multiply( Z, inverse(
% 0.45/1.18 multiply( Z, Y ) ) ) ), X ) ] )
% 0.45/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.45/1.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 eqswap(
% 0.45/1.18 clause( 197, [ =( T, multiply( X, multiply( Y, inverse( multiply( X,
% 0.45/1.18 multiply( multiply( Y, Z ), inverse( multiply( T, Z ) ) ) ) ) ) ) ) ] )
% 0.45/1.18 , clause( 2, [ =( multiply( T, multiply( Y, inverse( multiply( T, multiply(
% 0.45/1.18 multiply( Y, Z ), inverse( multiply( X, Z ) ) ) ) ) ) ), X ) ] )
% 0.45/1.18 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] )
% 0.45/1.18 ).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 paramod(
% 0.45/1.18 clause( 202, [ =( multiply( X, Y ), multiply( multiply( Z, Y ), multiply( X
% 0.45/1.18 , inverse( Z ) ) ) ) ] )
% 0.45/1.18 , clause( 9, [ =( multiply( multiply( X, Y ), multiply( Z, inverse(
% 0.45/1.18 multiply( Z, Y ) ) ) ), X ) ] )
% 0.45/1.18 , 0, clause( 197, [ =( T, multiply( X, multiply( Y, inverse( multiply( X,
% 0.45/1.18 multiply( multiply( Y, Z ), inverse( multiply( T, Z ) ) ) ) ) ) ) ) ] )
% 0.45/1.18 , 0, 11, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, multiply( X, Y )
% 0.45/1.18 )] ), substitution( 1, [ :=( X, multiply( Z, Y ) ), :=( Y, X ), :=( Z, Y
% 0.45/1.18 ), :=( T, multiply( X, Y ) )] )).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 eqswap(
% 0.45/1.18 clause( 205, [ =( multiply( multiply( Z, Y ), multiply( X, inverse( Z ) ) )
% 0.45/1.18 , multiply( X, Y ) ) ] )
% 0.45/1.18 , clause( 202, [ =( multiply( X, Y ), multiply( multiply( Z, Y ), multiply(
% 0.45/1.18 X, inverse( Z ) ) ) ) ] )
% 0.45/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 subsumption(
% 0.45/1.18 clause( 11, [ =( multiply( multiply( X, Y ), multiply( Z, inverse( X ) ) )
% 0.45/1.18 , multiply( Z, Y ) ) ] )
% 0.45/1.18 , clause( 205, [ =( multiply( multiply( Z, Y ), multiply( X, inverse( Z ) )
% 0.45/1.18 ), multiply( X, Y ) ) ] )
% 0.45/1.18 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.45/1.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 eqswap(
% 0.45/1.18 clause( 208, [ =( multiply( Z, Y ), multiply( multiply( X, Y ), multiply( Z
% 0.45/1.18 , inverse( X ) ) ) ) ] )
% 0.45/1.18 , clause( 11, [ =( multiply( multiply( X, Y ), multiply( Z, inverse( X ) )
% 0.45/1.18 ), multiply( Z, Y ) ) ] )
% 0.45/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 paramod(
% 0.45/1.18 clause( 211, [ =( multiply( multiply( X, Y ), Z ), multiply( multiply( X, Z
% 0.45/1.18 ), Y ) ) ] )
% 0.45/1.18 , clause( 7, [ =( multiply( X, multiply( multiply( Z, Y ), inverse( Z ) ) )
% 0.45/1.18 , multiply( X, Y ) ) ] )
% 0.45/1.18 , 0, clause( 208, [ =( multiply( Z, Y ), multiply( multiply( X, Y ),
% 0.45/1.18 multiply( Z, inverse( X ) ) ) ) ] )
% 0.45/1.18 , 0, 6, substitution( 0, [ :=( X, multiply( X, Z ) ), :=( Y, Y ), :=( Z, X
% 0.45/1.18 )] ), substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, multiply( X, Y )
% 0.45/1.18 )] )).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 subsumption(
% 0.45/1.18 clause( 14, [ =( multiply( multiply( X, Z ), Y ), multiply( multiply( X, Y
% 0.45/1.18 ), Z ) ) ] )
% 0.45/1.18 , clause( 211, [ =( multiply( multiply( X, Y ), Z ), multiply( multiply( X
% 0.45/1.18 , Z ), Y ) ) ] )
% 0.45/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.45/1.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 eqswap(
% 0.45/1.18 clause( 217, [ =( multiply( X, Z ), multiply( X, multiply( multiply( Y, Z )
% 0.45/1.18 , inverse( Y ) ) ) ) ] )
% 0.45/1.18 , clause( 7, [ =( multiply( X, multiply( multiply( Z, Y ), inverse( Z ) ) )
% 0.45/1.18 , multiply( X, Y ) ) ] )
% 0.45/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 paramod(
% 0.45/1.18 clause( 220, [ =( multiply( X, Y ), multiply( X, multiply( multiply( Z,
% 0.45/1.18 inverse( Z ) ), Y ) ) ) ] )
% 0.45/1.18 , clause( 14, [ =( multiply( multiply( X, Z ), Y ), multiply( multiply( X,
% 0.45/1.18 Y ), Z ) ) ] )
% 0.45/1.18 , 0, clause( 217, [ =( multiply( X, Z ), multiply( X, multiply( multiply( Y
% 0.45/1.18 , Z ), inverse( Y ) ) ) ) ] )
% 0.45/1.18 , 0, 6, substitution( 0, [ :=( X, Z ), :=( Y, inverse( Z ) ), :=( Z, Y )] )
% 0.45/1.18 , substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 eqswap(
% 0.45/1.18 clause( 238, [ =( multiply( X, multiply( multiply( Z, inverse( Z ) ), Y ) )
% 0.45/1.18 , multiply( X, Y ) ) ] )
% 0.45/1.18 , clause( 220, [ =( multiply( X, Y ), multiply( X, multiply( multiply( Z,
% 0.45/1.18 inverse( Z ) ), Y ) ) ) ] )
% 0.45/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 subsumption(
% 0.45/1.18 clause( 17, [ =( multiply( Z, multiply( multiply( X, inverse( X ) ), Y ) )
% 0.45/1.18 , multiply( Z, Y ) ) ] )
% 0.45/1.18 , clause( 238, [ =( multiply( X, multiply( multiply( Z, inverse( Z ) ), Y )
% 0.45/1.18 ), multiply( X, Y ) ) ] )
% 0.45/1.18 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.45/1.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 eqswap(
% 0.45/1.18 clause( 244, [ =( multiply( X, Z ), multiply( X, multiply( multiply( Y,
% 0.45/1.18 inverse( Y ) ), Z ) ) ) ] )
% 0.45/1.18 , clause( 17, [ =( multiply( Z, multiply( multiply( X, inverse( X ) ), Y )
% 0.45/1.18 ), multiply( Z, Y ) ) ] )
% 0.45/1.18 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 paramod(
% 0.45/1.18 clause( 255, [ =( multiply( X, multiply( Y, inverse( multiply( Y, inverse(
% 0.45/1.18 Z ) ) ) ) ), multiply( X, Z ) ) ] )
% 0.45/1.18 , clause( 9, [ =( multiply( multiply( X, Y ), multiply( Z, inverse(
% 0.45/1.18 multiply( Z, Y ) ) ) ), X ) ] )
% 0.45/1.18 , 0, clause( 244, [ =( multiply( X, Z ), multiply( X, multiply( multiply( Y
% 0.45/1.18 , inverse( Y ) ), Z ) ) ) ] )
% 0.45/1.18 , 0, 12, substitution( 0, [ :=( X, Z ), :=( Y, inverse( Z ) ), :=( Z, Y )] )
% 0.45/1.18 , substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, multiply( Y, inverse(
% 0.45/1.18 multiply( Y, inverse( Z ) ) ) ) )] )).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 subsumption(
% 0.45/1.18 clause( 27, [ =( multiply( Z, multiply( Y, inverse( multiply( Y, inverse( X
% 0.45/1.18 ) ) ) ) ), multiply( Z, X ) ) ] )
% 0.45/1.18 , clause( 255, [ =( multiply( X, multiply( Y, inverse( multiply( Y, inverse(
% 0.45/1.18 Z ) ) ) ) ), multiply( X, Z ) ) ] )
% 0.45/1.18 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.45/1.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 eqswap(
% 0.45/1.18 clause( 259, [ =( multiply( X, Z ), multiply( X, multiply( multiply( Y,
% 0.45/1.18 inverse( Y ) ), Z ) ) ) ] )
% 0.45/1.18 , clause( 17, [ =( multiply( Z, multiply( multiply( X, inverse( X ) ), Y )
% 0.45/1.18 ), multiply( Z, Y ) ) ] )
% 0.45/1.18 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 paramod(
% 0.45/1.18 clause( 262, [ =( multiply( X, inverse( X ) ), multiply( Y, inverse( Y ) )
% 0.45/1.18 ) ] )
% 0.45/1.18 , clause( 5, [ =( multiply( Y, multiply( X, inverse( Y ) ) ), X ) ] )
% 0.45/1.18 , 0, clause( 259, [ =( multiply( X, Z ), multiply( X, multiply( multiply( Y
% 0.45/1.18 , inverse( Y ) ), Z ) ) ) ] )
% 0.45/1.18 , 0, 5, substitution( 0, [ :=( X, multiply( Y, inverse( Y ) ) ), :=( Y, X )] )
% 0.45/1.18 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, inverse( X ) )] )
% 0.45/1.18 ).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 subsumption(
% 0.45/1.18 clause( 29, [ =( multiply( X, inverse( X ) ), multiply( Y, inverse( Y ) ) )
% 0.45/1.18 ] )
% 0.45/1.18 , clause( 262, [ =( multiply( X, inverse( X ) ), multiply( Y, inverse( Y )
% 0.45/1.18 ) ) ] )
% 0.45/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.45/1.18 )] ) ).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 eqswap(
% 0.45/1.18 clause( 266, [ =( X, multiply( multiply( X, Y ), multiply( Z, inverse(
% 0.45/1.18 multiply( Z, Y ) ) ) ) ) ] )
% 0.45/1.18 , clause( 9, [ =( multiply( multiply( X, Y ), multiply( Z, inverse(
% 0.45/1.18 multiply( Z, Y ) ) ) ), X ) ] )
% 0.45/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 paramod(
% 0.45/1.18 clause( 268, [ =( X, multiply( multiply( Z, inverse( Z ) ), multiply( Y,
% 0.45/1.18 inverse( multiply( Y, inverse( X ) ) ) ) ) ) ] )
% 0.45/1.18 , clause( 29, [ =( multiply( X, inverse( X ) ), multiply( Y, inverse( Y ) )
% 0.45/1.18 ) ] )
% 0.45/1.18 , 0, clause( 266, [ =( X, multiply( multiply( X, Y ), multiply( Z, inverse(
% 0.45/1.18 multiply( Z, Y ) ) ) ) ) ] )
% 0.45/1.18 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [
% 0.45/1.18 :=( X, X ), :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 paramod(
% 0.45/1.18 clause( 270, [ =( X, multiply( multiply( Y, inverse( Y ) ), X ) ) ] )
% 0.45/1.18 , clause( 27, [ =( multiply( Z, multiply( Y, inverse( multiply( Y, inverse(
% 0.45/1.18 X ) ) ) ) ), multiply( Z, X ) ) ] )
% 0.45/1.18 , 0, clause( 268, [ =( X, multiply( multiply( Z, inverse( Z ) ), multiply(
% 0.45/1.18 Y, inverse( multiply( Y, inverse( X ) ) ) ) ) ) ] )
% 0.45/1.18 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, multiply( Y,
% 0.45/1.18 inverse( Y ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y
% 0.45/1.18 )] )).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 eqswap(
% 0.45/1.18 clause( 271, [ =( multiply( multiply( Y, inverse( Y ) ), X ), X ) ] )
% 0.45/1.18 , clause( 270, [ =( X, multiply( multiply( Y, inverse( Y ) ), X ) ) ] )
% 0.45/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 subsumption(
% 0.45/1.18 clause( 33, [ =( multiply( multiply( Y, inverse( Y ) ), X ), X ) ] )
% 0.45/1.18 , clause( 271, [ =( multiply( multiply( Y, inverse( Y ) ), X ), X ) ] )
% 0.45/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.45/1.18 )] ) ).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 paramod(
% 0.45/1.18 clause( 286, [ =( multiply( multiply( multiply( X, inverse( X ) ), Y ), Z )
% 0.45/1.18 , multiply( Z, Y ) ) ] )
% 0.45/1.18 , clause( 33, [ =( multiply( multiply( Y, inverse( Y ) ), X ), X ) ] )
% 0.45/1.18 , 0, clause( 14, [ =( multiply( multiply( X, Z ), Y ), multiply( multiply(
% 0.45/1.18 X, Y ), Z ) ) ] )
% 0.45/1.18 , 0, 10, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 0.45/1.18 :=( X, multiply( X, inverse( X ) ) ), :=( Y, Z ), :=( Z, Y )] )).
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 paramod(
% 0.45/1.18 clause( 288, [ =( multiply( Y, Z ), multiply( Z, Y ) ) ] )
% 0.45/1.18 , clause( 33, [ =( multiply( multiply( Y, inverse( Y ) ), X ), X ) ] )
% 0.45/1.18 , 0, clause( 286, [ =( multiply( multiply( multiply( X, inverse( X ) ), Y )
% 0.45/1.18 , Z ), multiply( Z, Y ) ) ] )
% 0.45/1.18 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.45/1.18 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 subsumption(
% 0.81/1.18 clause( 39, [ =( multiply( Y, Z ), multiply( Z, Y ) ) ] )
% 0.81/1.18 , clause( 288, [ =( multiply( Y, Z ), multiply( Z, Y ) ) ] )
% 0.81/1.18 , substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z )] ),
% 0.81/1.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 paramod(
% 0.81/1.18 clause( 289, [ =( multiply( Z, multiply( X, Y ) ), multiply( multiply( X, Z
% 0.81/1.18 ), Y ) ) ] )
% 0.81/1.18 , clause( 39, [ =( multiply( Y, Z ), multiply( Z, Y ) ) ] )
% 0.81/1.18 , 0, clause( 14, [ =( multiply( multiply( X, Z ), Y ), multiply( multiply(
% 0.81/1.18 X, Y ), Z ) ) ] )
% 0.81/1.18 , 0, 1, substitution( 0, [ :=( X, T ), :=( Y, multiply( X, Y ) ), :=( Z, Z
% 0.81/1.18 )] ), substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 subsumption(
% 0.81/1.18 clause( 52, [ =( multiply( Z, multiply( X, Y ) ), multiply( multiply( X, Z
% 0.81/1.18 ), Y ) ) ] )
% 0.81/1.18 , clause( 289, [ =( multiply( Z, multiply( X, Y ) ), multiply( multiply( X
% 0.81/1.18 , Z ), Y ) ) ] )
% 0.81/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.81/1.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 paramod(
% 0.81/1.18 clause( 306, [ =( multiply( multiply( Y, X ), Z ), multiply( multiply( X, Z
% 0.81/1.18 ), Y ) ) ] )
% 0.81/1.18 , clause( 39, [ =( multiply( Y, Z ), multiply( Z, Y ) ) ] )
% 0.81/1.18 , 0, clause( 14, [ =( multiply( multiply( X, Z ), Y ), multiply( multiply(
% 0.81/1.18 X, Y ), Z ) ) ] )
% 0.81/1.18 , 0, 2, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y )] ),
% 0.81/1.18 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 subsumption(
% 0.81/1.18 clause( 53, [ =( multiply( multiply( Y, X ), Z ), multiply( multiply( X, Z
% 0.81/1.18 ), Y ) ) ] )
% 0.81/1.18 , clause( 306, [ =( multiply( multiply( Y, X ), Z ), multiply( multiply( X
% 0.81/1.18 , Z ), Y ) ) ] )
% 0.81/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.81/1.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 eqswap(
% 0.81/1.18 clause( 321, [ =( multiply( multiply( Y, X ), Z ), multiply( X, multiply( Y
% 0.81/1.18 , Z ) ) ) ] )
% 0.81/1.18 , clause( 52, [ =( multiply( Z, multiply( X, Y ) ), multiply( multiply( X,
% 0.81/1.18 Z ), Y ) ) ] )
% 0.81/1.18 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 paramod(
% 0.81/1.18 clause( 326, [ =( multiply( multiply( X, Y ), Z ), multiply( Y, multiply( Z
% 0.81/1.18 , X ) ) ) ] )
% 0.81/1.18 , clause( 39, [ =( multiply( Y, Z ), multiply( Z, Y ) ) ] )
% 0.81/1.18 , 0, clause( 321, [ =( multiply( multiply( Y, X ), Z ), multiply( X,
% 0.81/1.18 multiply( Y, Z ) ) ) ] )
% 0.81/1.18 , 0, 8, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Z )] ),
% 0.81/1.18 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 paramod(
% 0.81/1.18 clause( 339, [ =( multiply( multiply( X, Y ), Z ), multiply( multiply( Z, Y
% 0.81/1.18 ), X ) ) ] )
% 0.81/1.18 , clause( 52, [ =( multiply( Z, multiply( X, Y ) ), multiply( multiply( X,
% 0.81/1.18 Z ), Y ) ) ] )
% 0.81/1.18 , 0, clause( 326, [ =( multiply( multiply( X, Y ), Z ), multiply( Y,
% 0.81/1.18 multiply( Z, X ) ) ) ] )
% 0.81/1.18 , 0, 6, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.81/1.18 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 subsumption(
% 0.81/1.18 clause( 115, [ =( multiply( multiply( Y, Z ), X ), multiply( multiply( X, Z
% 0.81/1.18 ), Y ) ) ] )
% 0.81/1.18 , clause( 339, [ =( multiply( multiply( X, Y ), Z ), multiply( multiply( Z
% 0.81/1.18 , Y ), X ) ) ] )
% 0.81/1.18 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.81/1.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 eqswap(
% 0.81/1.18 clause( 341, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3,
% 0.81/1.18 multiply( b3, c3 ) ) ) ) ] )
% 0.81/1.18 , clause( 1, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.81/1.18 a3, b3 ), c3 ) ) ) ] )
% 0.81/1.18 , 0, substitution( 0, [] )).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 paramod(
% 0.81/1.18 clause( 342, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( multiply(
% 0.81/1.18 b3, a3 ), c3 ) ) ) ] )
% 0.81/1.18 , clause( 52, [ =( multiply( Z, multiply( X, Y ) ), multiply( multiply( X,
% 0.81/1.18 Z ), Y ) ) ] )
% 0.81/1.18 , 0, clause( 341, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3
% 0.81/1.18 , multiply( b3, c3 ) ) ) ) ] )
% 0.81/1.18 , 0, 7, substitution( 0, [ :=( X, b3 ), :=( Y, c3 ), :=( Z, a3 )] ),
% 0.81/1.18 substitution( 1, [] )).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 subsumption(
% 0.81/1.18 clause( 117, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( multiply(
% 0.81/1.18 b3, a3 ), c3 ) ) ) ] )
% 0.81/1.18 , clause( 342, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply(
% 0.81/1.18 multiply( b3, a3 ), c3 ) ) ) ] )
% 0.81/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 eqswap(
% 0.81/1.18 clause( 344, [ =( multiply( multiply( Y, Z ), X ), multiply( multiply( X, Y
% 0.81/1.18 ), Z ) ) ] )
% 0.81/1.18 , clause( 53, [ =( multiply( multiply( Y, X ), Z ), multiply( multiply( X,
% 0.81/1.18 Z ), Y ) ) ] )
% 0.81/1.18 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 paramod(
% 0.81/1.18 clause( 390, [ =( multiply( multiply( X, Y ), Z ), multiply( multiply( Y, X
% 0.81/1.18 ), Z ) ) ] )
% 0.81/1.18 , clause( 115, [ =( multiply( multiply( Y, Z ), X ), multiply( multiply( X
% 0.81/1.18 , Z ), Y ) ) ] )
% 0.81/1.18 , 0, clause( 344, [ =( multiply( multiply( Y, Z ), X ), multiply( multiply(
% 0.81/1.18 X, Y ), Z ) ) ] )
% 0.81/1.18 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.81/1.18 substitution( 1, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 subsumption(
% 0.81/1.18 clause( 128, [ =( multiply( multiply( Y, Z ), X ), multiply( multiply( Z, Y
% 0.81/1.18 ), X ) ) ] )
% 0.81/1.18 , clause( 390, [ =( multiply( multiply( X, Y ), Z ), multiply( multiply( Y
% 0.81/1.18 , X ), Z ) ) ] )
% 0.81/1.18 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.81/1.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 eqswap(
% 0.81/1.18 clause( 406, [ ~( =( multiply( multiply( b3, a3 ), c3 ), multiply( multiply(
% 0.81/1.18 a3, b3 ), c3 ) ) ) ] )
% 0.81/1.18 , clause( 117, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply(
% 0.81/1.18 multiply( b3, a3 ), c3 ) ) ) ] )
% 0.81/1.18 , 0, substitution( 0, [] )).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 paramod(
% 0.81/1.18 clause( 408, [ ~( =( multiply( multiply( b3, a3 ), c3 ), multiply( multiply(
% 0.81/1.18 b3, a3 ), c3 ) ) ) ] )
% 0.81/1.18 , clause( 128, [ =( multiply( multiply( Y, Z ), X ), multiply( multiply( Z
% 0.81/1.18 , Y ), X ) ) ] )
% 0.81/1.18 , 0, clause( 406, [ ~( =( multiply( multiply( b3, a3 ), c3 ), multiply(
% 0.81/1.18 multiply( a3, b3 ), c3 ) ) ) ] )
% 0.81/1.18 , 0, 7, substitution( 0, [ :=( X, c3 ), :=( Y, a3 ), :=( Z, b3 )] ),
% 0.81/1.18 substitution( 1, [] )).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 eqrefl(
% 0.81/1.18 clause( 411, [] )
% 0.81/1.18 , clause( 408, [ ~( =( multiply( multiply( b3, a3 ), c3 ), multiply(
% 0.81/1.18 multiply( b3, a3 ), c3 ) ) ) ] )
% 0.81/1.18 , 0, substitution( 0, [] )).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 subsumption(
% 0.81/1.18 clause( 133, [] )
% 0.81/1.18 , clause( 411, [] )
% 0.81/1.18 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 end.
% 0.81/1.18
% 0.81/1.18 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.81/1.18
% 0.81/1.18 Memory use:
% 0.81/1.18
% 0.81/1.18 space for terms: 1671
% 0.81/1.18 space for clauses: 13345
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 clauses generated: 3020
% 0.81/1.18 clauses kept: 134
% 0.81/1.18 clauses selected: 37
% 0.81/1.18 clauses deleted: 16
% 0.81/1.18 clauses inuse deleted: 0
% 0.81/1.18
% 0.81/1.18 subsentry: 5010
% 0.81/1.18 literals s-matched: 1815
% 0.81/1.18 literals matched: 1187
% 0.81/1.18 full subsumption: 0
% 0.81/1.18
% 0.81/1.18 checksum: -39460702
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 Bliksem ended
%------------------------------------------------------------------------------