TSTP Solution File: GRP067-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP067-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 07:34:41 EDT 2022
% Result : Unsatisfiable 0.75s 1.14s
% Output : Refutation 0.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP067-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% 0.04/0.14 % Command : bliksem %s
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Tue Jun 14 01:02:02 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.75/1.14 *** allocated 10000 integers for termspace/termends
% 0.75/1.14 *** allocated 10000 integers for clauses
% 0.75/1.14 *** allocated 10000 integers for justifications
% 0.75/1.14 Bliksem 1.12
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 Automatic Strategy Selection
% 0.75/1.14
% 0.75/1.14 Clauses:
% 0.75/1.14 [
% 0.75/1.14 [ =( divide( divide( divide( X, X ), divide( X, divide( Y, divide(
% 0.75/1.14 divide( identity, X ), Z ) ) ) ), Z ), Y ) ],
% 0.75/1.14 [ =( multiply( X, Y ), divide( X, divide( identity, Y ) ) ) ],
% 0.75/1.14 [ =( inverse( X ), divide( identity, X ) ) ],
% 0.75/1.14 [ =( identity, divide( X, X ) ) ],
% 0.75/1.14 [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ), ~( =( multiply(
% 0.75/1.14 identity, a2 ), a2 ) ), ~( =( multiply( multiply( a3, b3 ), c3 ),
% 0.75/1.14 multiply( a3, multiply( b3, c3 ) ) ) ) ]
% 0.75/1.14 ] .
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 percentage equality = 1.000000, percentage horn = 1.000000
% 0.75/1.14 This is a pure equality problem
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 Options Used:
% 0.75/1.14
% 0.75/1.14 useres = 1
% 0.75/1.14 useparamod = 1
% 0.75/1.14 useeqrefl = 1
% 0.75/1.14 useeqfact = 1
% 0.75/1.14 usefactor = 1
% 0.75/1.14 usesimpsplitting = 0
% 0.75/1.14 usesimpdemod = 5
% 0.75/1.14 usesimpres = 3
% 0.75/1.14
% 0.75/1.14 resimpinuse = 1000
% 0.75/1.14 resimpclauses = 20000
% 0.75/1.14 substype = eqrewr
% 0.75/1.14 backwardsubs = 1
% 0.75/1.14 selectoldest = 5
% 0.75/1.14
% 0.75/1.14 litorderings [0] = split
% 0.75/1.14 litorderings [1] = extend the termordering, first sorting on arguments
% 0.75/1.14
% 0.75/1.14 termordering = kbo
% 0.75/1.14
% 0.75/1.14 litapriori = 0
% 0.75/1.14 termapriori = 1
% 0.75/1.14 litaposteriori = 0
% 0.75/1.14 termaposteriori = 0
% 0.75/1.14 demodaposteriori = 0
% 0.75/1.14 ordereqreflfact = 0
% 0.75/1.14
% 0.75/1.14 litselect = negord
% 0.75/1.14
% 0.75/1.14 maxweight = 15
% 0.75/1.14 maxdepth = 30000
% 0.75/1.14 maxlength = 115
% 0.75/1.14 maxnrvars = 195
% 0.75/1.14 excuselevel = 1
% 0.75/1.14 increasemaxweight = 1
% 0.75/1.14
% 0.75/1.14 maxselected = 10000000
% 0.75/1.14 maxnrclauses = 10000000
% 0.75/1.14
% 0.75/1.14 showgenerated = 0
% 0.75/1.14 showkept = 0
% 0.75/1.14 showselected = 0
% 0.75/1.14 showdeleted = 0
% 0.75/1.14 showresimp = 1
% 0.75/1.14 showstatus = 2000
% 0.75/1.14
% 0.75/1.14 prologoutput = 1
% 0.75/1.14 nrgoals = 5000000
% 0.75/1.14 totalproof = 1
% 0.75/1.14
% 0.75/1.14 Symbols occurring in the translation:
% 0.75/1.14
% 0.75/1.14 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.75/1.14 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 0.75/1.14 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 0.75/1.14 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.14 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.14 divide [40, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.75/1.14 identity [42, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.75/1.14 multiply [44, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.75/1.14 inverse [45, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.75/1.14 a1 [46, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.75/1.14 a2 [47, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.75/1.14 a3 [48, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.75/1.14 b3 [49, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.75/1.14 c3 [50, 0] (w:1, o:17, a:1, s:1, b:0).
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 Starting Search:
% 0.75/1.14
% 0.75/1.14 Resimplifying inuse:
% 0.75/1.14 Done
% 0.75/1.14
% 0.75/1.14 Resimplifying inuse:
% 0.75/1.14 Done
% 0.75/1.14
% 0.75/1.14 Failed to find proof!
% 0.75/1.14 maxweight = 15
% 0.75/1.14 maxnrclauses = 10000000
% 0.75/1.14 Generated: 939
% 0.75/1.14 Kept: 107
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 The strategy used was not complete!
% 0.75/1.14
% 0.75/1.14 Increased maxweight to 16
% 0.75/1.14
% 0.75/1.14 Starting Search:
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 Bliksems!, er is een bewijs:
% 0.75/1.14 % SZS status Unsatisfiable
% 0.75/1.14 % SZS output start Refutation
% 0.75/1.14
% 0.75/1.14 clause( 0, [ =( divide( divide( divide( X, X ), divide( X, divide( Y,
% 0.75/1.14 divide( divide( identity, X ), Z ) ) ) ), Z ), Y ) ] )
% 0.75/1.14 .
% 0.75/1.14 clause( 1, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ] )
% 0.75/1.14 .
% 0.75/1.14 clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.75/1.14 .
% 0.75/1.14 clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.79/1.14 .
% 0.79/1.14 clause( 4, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ), ~( =(
% 0.79/1.14 multiply( identity, a2 ), a2 ) ), ~( =( multiply( a3, multiply( b3, c3 )
% 0.79/1.14 ), multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 0.79/1.14 .
% 0.79/1.14 clause( 5, [ =( inverse( identity ), identity ) ] )
% 0.79/1.14 .
% 0.79/1.14 clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.79/1.14 .
% 0.79/1.14 clause( 7, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 0.79/1.14 .
% 0.79/1.14 clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.79/1.14 .
% 0.79/1.14 clause( 9, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.79/1.14 .
% 0.79/1.14 clause( 10, [ =( divide( inverse( divide( X, divide( Y, divide( inverse( X
% 0.79/1.14 ), Z ) ) ) ), Z ), Y ) ] )
% 0.79/1.14 .
% 0.79/1.14 clause( 12, [ =( divide( inverse( inverse( multiply( X, Y ) ) ), Y ), X ) ]
% 0.79/1.14 )
% 0.79/1.14 .
% 0.79/1.14 clause( 15, [ =( multiply( inverse( divide( X, divide( Y, identity ) ) ), X
% 0.79/1.14 ), Y ) ] )
% 0.79/1.14 .
% 0.79/1.14 clause( 16, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.79/1.14 a3, b3 ), c3 ) ) ), ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.79/1.14 .
% 0.79/1.14 clause( 20, [ =( divide( inverse( inverse( divide( X, identity ) ) ),
% 0.79/1.14 identity ), X ) ] )
% 0.79/1.14 .
% 0.79/1.14 clause( 34, [ =( inverse( inverse( divide( X, identity ) ) ), X ) ] )
% 0.79/1.14 .
% 0.79/1.14 clause( 44, [ =( divide( X, identity ), X ) ] )
% 0.79/1.14 .
% 0.79/1.14 clause( 45, [ =( inverse( inverse( X ) ), X ) ] )
% 0.79/1.14 .
% 0.79/1.14 clause( 48, [ =( multiply( Y, inverse( X ) ), divide( Y, X ) ) ] )
% 0.79/1.14 .
% 0.79/1.14 clause( 50, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 0.79/1.14 .
% 0.79/1.14 clause( 58, [ =( multiply( inverse( X ), multiply( X, Y ) ), Y ) ] )
% 0.79/1.14 .
% 0.79/1.14 clause( 60, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 0.79/1.14 .
% 0.79/1.14 clause( 62, [ =( divide( Y, multiply( X, Y ) ), inverse( X ) ) ] )
% 0.79/1.14 .
% 0.79/1.14 clause( 65, [ =( inverse( divide( X, Y ) ), divide( Y, X ) ) ] )
% 0.79/1.14 .
% 0.79/1.14 clause( 76, [ =( multiply( Z, divide( X, Y ) ), divide( Z, divide( Y, X ) )
% 0.79/1.14 ) ] )
% 0.79/1.14 .
% 0.79/1.14 clause( 77, [ =( divide( inverse( Y ), X ), inverse( multiply( X, Y ) ) ) ]
% 0.79/1.14 )
% 0.79/1.14 .
% 0.79/1.14 clause( 78, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.79/1.14 a3, b3 ), c3 ) ) ) ] )
% 0.79/1.14 .
% 0.79/1.14 clause( 79, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X ) )
% 0.79/1.14 ] )
% 0.79/1.14 .
% 0.79/1.14 clause( 93, [ =( divide( divide( X, divide( Y, Z ) ), divide( Z, Y ) ), X )
% 0.79/1.14 ] )
% 0.79/1.14 .
% 0.79/1.14 clause( 94, [ =( divide( X, multiply( Y, Z ) ), divide( divide( X, Z ), Y )
% 0.79/1.14 ) ] )
% 0.79/1.14 .
% 0.79/1.14 clause( 101, [ =( multiply( divide( Z, X ), multiply( X, Y ) ), multiply( Z
% 0.79/1.14 , Y ) ) ] )
% 0.79/1.14 .
% 0.79/1.14 clause( 103, [ =( divide( Z, divide( X, Y ) ), divide( multiply( Z, Y ), X
% 0.79/1.14 ) ) ] )
% 0.79/1.14 .
% 0.79/1.14 clause( 104, [ =( multiply( T, multiply( Y, Z ) ), multiply( multiply( T, Y
% 0.79/1.14 ), Z ) ) ] )
% 0.79/1.14 .
% 0.79/1.14 clause( 105, [] )
% 0.79/1.14 .
% 0.79/1.14
% 0.79/1.14
% 0.79/1.14 % SZS output end Refutation
% 0.79/1.14 found a proof!
% 0.79/1.14
% 0.79/1.14 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.79/1.14
% 0.79/1.14 initialclauses(
% 0.79/1.14 [ clause( 107, [ =( divide( divide( divide( X, X ), divide( X, divide( Y,
% 0.79/1.14 divide( divide( identity, X ), Z ) ) ) ), Z ), Y ) ] )
% 0.79/1.14 , clause( 108, [ =( multiply( X, Y ), divide( X, divide( identity, Y ) ) )
% 0.79/1.14 ] )
% 0.79/1.14 , clause( 109, [ =( inverse( X ), divide( identity, X ) ) ] )
% 0.79/1.14 , clause( 110, [ =( identity, divide( X, X ) ) ] )
% 0.79/1.14 , clause( 111, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ), ~( =(
% 0.79/1.14 multiply( identity, a2 ), a2 ) ), ~( =( multiply( multiply( a3, b3 ), c3
% 0.79/1.14 ), multiply( a3, multiply( b3, c3 ) ) ) ) ] )
% 0.79/1.14 ] ).
% 0.79/1.14
% 0.79/1.14
% 0.79/1.14
% 0.79/1.14 subsumption(
% 0.79/1.14 clause( 0, [ =( divide( divide( divide( X, X ), divide( X, divide( Y,
% 0.79/1.14 divide( divide( identity, X ), Z ) ) ) ), Z ), Y ) ] )
% 0.79/1.14 , clause( 107, [ =( divide( divide( divide( X, X ), divide( X, divide( Y,
% 0.79/1.14 divide( divide( identity, X ), Z ) ) ) ), Z ), Y ) ] )
% 0.79/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.79/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.14
% 0.79/1.14
% 0.79/1.14 eqswap(
% 0.79/1.14 clause( 114, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ]
% 0.79/1.14 )
% 0.79/1.14 , clause( 108, [ =( multiply( X, Y ), divide( X, divide( identity, Y ) ) )
% 0.79/1.14 ] )
% 0.79/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.14
% 0.79/1.14
% 0.79/1.14 subsumption(
% 0.79/1.14 clause( 1, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ] )
% 0.79/1.14 , clause( 114, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) )
% 0.79/1.14 ] )
% 0.79/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.79/1.14 )] ) ).
% 0.79/1.14
% 0.79/1.14
% 0.79/1.14 eqswap(
% 0.79/1.14 clause( 117, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.79/1.14 , clause( 109, [ =( inverse( X ), divide( identity, X ) ) ] )
% 0.79/1.14 , 0, substitution( 0, [ :=( X, X )] )).
% 0.79/1.14
% 0.79/1.14
% 0.79/1.14 subsumption(
% 0.79/1.14 clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.79/1.14 , clause( 117, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.79/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.14
% 0.79/1.14
% 0.79/1.14 eqswap(
% 0.79/1.14 clause( 121, [ =( divide( X, X ), identity ) ] )
% 0.79/1.14 , clause( 110, [ =( identity, divide( X, X ) ) ] )
% 0.79/1.14 , 0, substitution( 0, [ :=( X, X )] )).
% 0.79/1.14
% 0.79/1.14
% 0.79/1.14 subsumption(
% 0.79/1.14 clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.79/1.14 , clause( 121, [ =( divide( X, X ), identity ) ] )
% 0.79/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.14
% 0.79/1.14
% 0.79/1.14 eqswap(
% 0.79/1.14 clause( 128, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.79/1.14 a3, b3 ), c3 ) ) ), ~( =( multiply( inverse( a1 ), a1 ), identity ) ),
% 0.79/1.14 ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.79/1.14 , clause( 111, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ), ~( =(
% 0.79/1.14 multiply( identity, a2 ), a2 ) ), ~( =( multiply( multiply( a3, b3 ), c3
% 0.79/1.14 ), multiply( a3, multiply( b3, c3 ) ) ) ) ] )
% 0.79/1.14 , 2, substitution( 0, [] )).
% 0.79/1.14
% 0.79/1.14
% 0.79/1.14 subsumption(
% 0.79/1.14 clause( 4, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ), ~( =(
% 0.79/1.15 multiply( identity, a2 ), a2 ) ), ~( =( multiply( a3, multiply( b3, c3 )
% 0.79/1.15 ), multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 0.79/1.15 , clause( 128, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 0.79/1.15 multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( inverse( a1 ), a1 ),
% 0.79/1.15 identity ) ), ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.79/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.79/1.15 , 1 )] ) ).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 eqswap(
% 0.79/1.15 clause( 133, [ =( inverse( X ), divide( identity, X ) ) ] )
% 0.79/1.15 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.79/1.15 , 0, substitution( 0, [ :=( X, X )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 135, [ =( inverse( identity ), identity ) ] )
% 0.79/1.15 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.79/1.15 , 0, clause( 133, [ =( inverse( X ), divide( identity, X ) ) ] )
% 0.79/1.15 , 0, 3, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.79/1.15 identity )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 subsumption(
% 0.79/1.15 clause( 5, [ =( inverse( identity ), identity ) ] )
% 0.79/1.15 , clause( 135, [ =( inverse( identity ), identity ) ] )
% 0.79/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 139, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.79/1.15 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.79/1.15 , 0, clause( 1, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) )
% 0.79/1.15 ] )
% 0.79/1.15 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.79/1.15 :=( Y, Y )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 subsumption(
% 0.79/1.15 clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.79/1.15 , clause( 139, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.79/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.79/1.15 )] ) ).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 eqswap(
% 0.79/1.15 clause( 142, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.79/1.15 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.79/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 143, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 0.79/1.15 , clause( 5, [ =( inverse( identity ), identity ) ] )
% 0.79/1.15 , 0, clause( 142, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.79/1.15 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 0.79/1.15 identity )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 subsumption(
% 0.79/1.15 clause( 7, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 0.79/1.15 , clause( 143, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 0.79/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 eqswap(
% 0.79/1.15 clause( 145, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.79/1.15 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.79/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 147, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.79/1.15 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.79/1.15 , 0, clause( 145, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.79/1.15 , 0, 4, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.79/1.15 :=( X, identity ), :=( Y, X )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 subsumption(
% 0.79/1.15 clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.79/1.15 , clause( 147, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.79/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 eqswap(
% 0.79/1.15 clause( 149, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.79/1.15 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.79/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 151, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.79/1.15 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.79/1.15 , 0, clause( 149, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.79/1.15 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.79/1.15 :=( X, inverse( X ) ), :=( Y, X )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 subsumption(
% 0.79/1.15 clause( 9, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.79/1.15 , clause( 151, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.79/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 157, [ =( divide( divide( identity, divide( X, divide( Y, divide(
% 0.79/1.15 divide( identity, X ), Z ) ) ) ), Z ), Y ) ] )
% 0.79/1.15 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.79/1.15 , 0, clause( 0, [ =( divide( divide( divide( X, X ), divide( X, divide( Y,
% 0.79/1.15 divide( divide( identity, X ), Z ) ) ) ), Z ), Y ) ] )
% 0.79/1.15 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.79/1.15 :=( Y, Y ), :=( Z, Z )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 159, [ =( divide( divide( identity, divide( X, divide( Y, divide(
% 0.79/1.15 inverse( X ), Z ) ) ) ), Z ), Y ) ] )
% 0.79/1.15 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.79/1.15 , 0, clause( 157, [ =( divide( divide( identity, divide( X, divide( Y,
% 0.79/1.15 divide( divide( identity, X ), Z ) ) ) ), Z ), Y ) ] )
% 0.79/1.15 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.79/1.15 :=( Y, Y ), :=( Z, Z )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 161, [ =( divide( inverse( divide( X, divide( Y, divide( inverse( X
% 0.79/1.15 ), Z ) ) ) ), Z ), Y ) ] )
% 0.79/1.15 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.79/1.15 , 0, clause( 159, [ =( divide( divide( identity, divide( X, divide( Y,
% 0.79/1.15 divide( inverse( X ), Z ) ) ) ), Z ), Y ) ] )
% 0.79/1.15 , 0, 2, substitution( 0, [ :=( X, divide( X, divide( Y, divide( inverse( X
% 0.79/1.15 ), Z ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 0.79/1.15 ).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 subsumption(
% 0.79/1.15 clause( 10, [ =( divide( inverse( divide( X, divide( Y, divide( inverse( X
% 0.79/1.15 ), Z ) ) ) ), Z ), Y ) ] )
% 0.79/1.15 , clause( 161, [ =( divide( inverse( divide( X, divide( Y, divide( inverse(
% 0.79/1.15 X ), Z ) ) ) ), Z ), Y ) ] )
% 0.79/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.79/1.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 eqswap(
% 0.79/1.15 clause( 164, [ =( Y, divide( inverse( divide( X, divide( Y, divide( inverse(
% 0.79/1.15 X ), Z ) ) ) ), Z ) ) ] )
% 0.79/1.15 , clause( 10, [ =( divide( inverse( divide( X, divide( Y, divide( inverse(
% 0.79/1.15 X ), Z ) ) ) ), Z ), Y ) ] )
% 0.79/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 168, [ =( X, divide( inverse( divide( identity, divide( X, divide(
% 0.79/1.15 identity, Y ) ) ) ), Y ) ) ] )
% 0.79/1.15 , clause( 5, [ =( inverse( identity ), identity ) ] )
% 0.79/1.15 , 0, clause( 164, [ =( Y, divide( inverse( divide( X, divide( Y, divide(
% 0.79/1.15 inverse( X ), Z ) ) ) ), Z ) ) ] )
% 0.79/1.15 , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X, identity ), :=( Y
% 0.79/1.15 , X ), :=( Z, Y )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 170, [ =( X, divide( inverse( divide( identity, divide( X, inverse(
% 0.79/1.15 Y ) ) ) ), Y ) ) ] )
% 0.79/1.15 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.79/1.15 , 0, clause( 168, [ =( X, divide( inverse( divide( identity, divide( X,
% 0.79/1.15 divide( identity, Y ) ) ) ), Y ) ) ] )
% 0.79/1.15 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.79/1.15 :=( Y, Y )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 172, [ =( X, divide( inverse( inverse( divide( X, inverse( Y ) ) )
% 0.79/1.15 ), Y ) ) ] )
% 0.79/1.15 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.79/1.15 , 0, clause( 170, [ =( X, divide( inverse( divide( identity, divide( X,
% 0.79/1.15 inverse( Y ) ) ) ), Y ) ) ] )
% 0.79/1.15 , 0, 4, substitution( 0, [ :=( X, divide( X, inverse( Y ) ) )] ),
% 0.79/1.15 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 173, [ =( X, divide( inverse( inverse( multiply( X, Y ) ) ), Y ) )
% 0.79/1.15 ] )
% 0.79/1.15 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.79/1.15 , 0, clause( 172, [ =( X, divide( inverse( inverse( divide( X, inverse( Y )
% 0.79/1.15 ) ) ), Y ) ) ] )
% 0.79/1.15 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.79/1.15 :=( X, X ), :=( Y, Y )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 eqswap(
% 0.79/1.15 clause( 174, [ =( divide( inverse( inverse( multiply( X, Y ) ) ), Y ), X )
% 0.79/1.15 ] )
% 0.79/1.15 , clause( 173, [ =( X, divide( inverse( inverse( multiply( X, Y ) ) ), Y )
% 0.79/1.15 ) ] )
% 0.79/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 subsumption(
% 0.79/1.15 clause( 12, [ =( divide( inverse( inverse( multiply( X, Y ) ) ), Y ), X ) ]
% 0.79/1.15 )
% 0.79/1.15 , clause( 174, [ =( divide( inverse( inverse( multiply( X, Y ) ) ), Y ), X
% 0.79/1.15 ) ] )
% 0.79/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.79/1.15 )] ) ).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 eqswap(
% 0.79/1.15 clause( 176, [ =( Y, divide( inverse( divide( X, divide( Y, divide( inverse(
% 0.79/1.15 X ), Z ) ) ) ), Z ) ) ] )
% 0.79/1.15 , clause( 10, [ =( divide( inverse( divide( X, divide( Y, divide( inverse(
% 0.79/1.15 X ), Z ) ) ) ), Z ), Y ) ] )
% 0.79/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 179, [ =( X, divide( inverse( divide( Y, divide( X, identity ) ) )
% 0.79/1.15 , inverse( Y ) ) ) ] )
% 0.79/1.15 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.79/1.15 , 0, clause( 176, [ =( Y, divide( inverse( divide( X, divide( Y, divide(
% 0.79/1.15 inverse( X ), Z ) ) ) ), Z ) ) ] )
% 0.79/1.15 , 0, 8, substitution( 0, [ :=( X, inverse( Y ) )] ), substitution( 1, [
% 0.79/1.15 :=( X, Y ), :=( Y, X ), :=( Z, inverse( Y ) )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 180, [ =( X, multiply( inverse( divide( Y, divide( X, identity ) )
% 0.79/1.15 ), Y ) ) ] )
% 0.79/1.15 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.79/1.15 , 0, clause( 179, [ =( X, divide( inverse( divide( Y, divide( X, identity )
% 0.79/1.15 ) ), inverse( Y ) ) ) ] )
% 0.79/1.15 , 0, 2, substitution( 0, [ :=( X, inverse( divide( Y, divide( X, identity )
% 0.79/1.15 ) ) ), :=( Y, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 eqswap(
% 0.79/1.15 clause( 181, [ =( multiply( inverse( divide( Y, divide( X, identity ) ) ),
% 0.79/1.15 Y ), X ) ] )
% 0.79/1.15 , clause( 180, [ =( X, multiply( inverse( divide( Y, divide( X, identity )
% 0.79/1.15 ) ), Y ) ) ] )
% 0.79/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 subsumption(
% 0.79/1.15 clause( 15, [ =( multiply( inverse( divide( X, divide( Y, identity ) ) ), X
% 0.79/1.15 ), Y ) ] )
% 0.79/1.15 , clause( 181, [ =( multiply( inverse( divide( Y, divide( X, identity ) ) )
% 0.79/1.15 , Y ), X ) ] )
% 0.79/1.15 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.79/1.15 )] ) ).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 191, [ ~( =( identity, identity ) ), ~( =( multiply( identity, a2 )
% 0.79/1.15 , a2 ) ), ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.79/1.15 a3, b3 ), c3 ) ) ) ] )
% 0.79/1.15 , clause( 9, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.79/1.15 , 0, clause( 4, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ), ~( =(
% 0.79/1.15 multiply( identity, a2 ), a2 ) ), ~( =( multiply( a3, multiply( b3, c3 )
% 0.79/1.15 ), multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 0.79/1.15 , 0, 2, substitution( 0, [ :=( X, a1 )] ), substitution( 1, [] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 eqrefl(
% 0.79/1.15 clause( 192, [ ~( =( multiply( identity, a2 ), a2 ) ), ~( =( multiply( a3,
% 0.79/1.15 multiply( b3, c3 ) ), multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 0.79/1.15 , clause( 191, [ ~( =( identity, identity ) ), ~( =( multiply( identity, a2
% 0.79/1.15 ), a2 ) ), ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.79/1.15 a3, b3 ), c3 ) ) ) ] )
% 0.79/1.15 , 0, substitution( 0, [] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 193, [ ~( =( inverse( inverse( a2 ) ), a2 ) ), ~( =( multiply( a3,
% 0.79/1.15 multiply( b3, c3 ) ), multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 0.79/1.15 , clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.79/1.15 , 0, clause( 192, [ ~( =( multiply( identity, a2 ), a2 ) ), ~( =( multiply(
% 0.79/1.15 a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 0.79/1.15 , 0, 2, substitution( 0, [ :=( X, a2 )] ), substitution( 1, [] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 subsumption(
% 0.79/1.15 clause( 16, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.79/1.15 a3, b3 ), c3 ) ) ), ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.79/1.15 , clause( 193, [ ~( =( inverse( inverse( a2 ) ), a2 ) ), ~( =( multiply( a3
% 0.79/1.15 , multiply( b3, c3 ) ), multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 0.79/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.79/1.15 ).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 eqswap(
% 0.79/1.15 clause( 198, [ =( X, divide( inverse( inverse( multiply( X, Y ) ) ), Y ) )
% 0.79/1.15 ] )
% 0.79/1.15 , clause( 12, [ =( divide( inverse( inverse( multiply( X, Y ) ) ), Y ), X )
% 0.79/1.15 ] )
% 0.79/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 201, [ =( X, divide( inverse( inverse( divide( X, identity ) ) ),
% 0.79/1.15 identity ) ) ] )
% 0.79/1.15 , clause( 7, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 0.79/1.15 , 0, clause( 198, [ =( X, divide( inverse( inverse( multiply( X, Y ) ) ), Y
% 0.79/1.15 ) ) ] )
% 0.79/1.15 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.79/1.15 :=( Y, identity )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 eqswap(
% 0.79/1.15 clause( 202, [ =( divide( inverse( inverse( divide( X, identity ) ) ),
% 0.79/1.15 identity ), X ) ] )
% 0.79/1.15 , clause( 201, [ =( X, divide( inverse( inverse( divide( X, identity ) ) )
% 0.79/1.15 , identity ) ) ] )
% 0.79/1.15 , 0, substitution( 0, [ :=( X, X )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 subsumption(
% 0.79/1.15 clause( 20, [ =( divide( inverse( inverse( divide( X, identity ) ) ),
% 0.79/1.15 identity ), X ) ] )
% 0.79/1.15 , clause( 202, [ =( divide( inverse( inverse( divide( X, identity ) ) ),
% 0.79/1.15 identity ), X ) ] )
% 0.79/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 eqswap(
% 0.79/1.15 clause( 204, [ =( Y, multiply( inverse( divide( X, divide( Y, identity ) )
% 0.79/1.15 ), X ) ) ] )
% 0.79/1.15 , clause( 15, [ =( multiply( inverse( divide( X, divide( Y, identity ) ) )
% 0.79/1.15 , X ), Y ) ] )
% 0.79/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 207, [ =( X, multiply( inverse( identity ), divide( X, identity ) )
% 0.79/1.15 ) ] )
% 0.79/1.15 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.79/1.15 , 0, clause( 204, [ =( Y, multiply( inverse( divide( X, divide( Y, identity
% 0.79/1.15 ) ) ), X ) ) ] )
% 0.79/1.15 , 0, 4, substitution( 0, [ :=( X, divide( X, identity ) )] ),
% 0.79/1.15 substitution( 1, [ :=( X, divide( X, identity ) ), :=( Y, X )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 209, [ =( X, multiply( identity, divide( X, identity ) ) ) ] )
% 0.79/1.15 , clause( 5, [ =( inverse( identity ), identity ) ] )
% 0.79/1.15 , 0, clause( 207, [ =( X, multiply( inverse( identity ), divide( X,
% 0.79/1.15 identity ) ) ) ] )
% 0.79/1.15 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 210, [ =( X, inverse( inverse( divide( X, identity ) ) ) ) ] )
% 0.79/1.15 , clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.79/1.15 , 0, clause( 209, [ =( X, multiply( identity, divide( X, identity ) ) ) ]
% 0.79/1.15 )
% 0.79/1.15 , 0, 2, substitution( 0, [ :=( X, divide( X, identity ) )] ),
% 0.79/1.15 substitution( 1, [ :=( X, X )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 eqswap(
% 0.79/1.15 clause( 211, [ =( inverse( inverse( divide( X, identity ) ) ), X ) ] )
% 0.79/1.15 , clause( 210, [ =( X, inverse( inverse( divide( X, identity ) ) ) ) ] )
% 0.79/1.15 , 0, substitution( 0, [ :=( X, X )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 subsumption(
% 0.79/1.15 clause( 34, [ =( inverse( inverse( divide( X, identity ) ) ), X ) ] )
% 0.79/1.15 , clause( 211, [ =( inverse( inverse( divide( X, identity ) ) ), X ) ] )
% 0.79/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 eqswap(
% 0.79/1.15 clause( 213, [ =( X, divide( inverse( inverse( divide( X, identity ) ) ),
% 0.79/1.15 identity ) ) ] )
% 0.79/1.15 , clause( 20, [ =( divide( inverse( inverse( divide( X, identity ) ) ),
% 0.79/1.15 identity ), X ) ] )
% 0.79/1.15 , 0, substitution( 0, [ :=( X, X )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 216, [ =( X, divide( X, identity ) ) ] )
% 0.79/1.15 , clause( 34, [ =( inverse( inverse( divide( X, identity ) ) ), X ) ] )
% 0.79/1.15 , 0, clause( 213, [ =( X, divide( inverse( inverse( divide( X, identity ) )
% 0.79/1.15 ), identity ) ) ] )
% 0.79/1.15 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.79/1.15 ).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 eqswap(
% 0.79/1.15 clause( 217, [ =( divide( X, identity ), X ) ] )
% 0.79/1.15 , clause( 216, [ =( X, divide( X, identity ) ) ] )
% 0.79/1.15 , 0, substitution( 0, [ :=( X, X )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 subsumption(
% 0.79/1.15 clause( 44, [ =( divide( X, identity ), X ) ] )
% 0.79/1.15 , clause( 217, [ =( divide( X, identity ), X ) ] )
% 0.79/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 eqswap(
% 0.79/1.15 clause( 219, [ =( X, inverse( inverse( divide( X, identity ) ) ) ) ] )
% 0.79/1.15 , clause( 34, [ =( inverse( inverse( divide( X, identity ) ) ), X ) ] )
% 0.79/1.15 , 0, substitution( 0, [ :=( X, X )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 222, [ =( inverse( inverse( divide( X, identity ) ) ), inverse(
% 0.79/1.15 inverse( X ) ) ) ] )
% 0.79/1.15 , clause( 20, [ =( divide( inverse( inverse( divide( X, identity ) ) ),
% 0.79/1.15 identity ), X ) ] )
% 0.79/1.15 , 0, clause( 219, [ =( X, inverse( inverse( divide( X, identity ) ) ) ) ]
% 0.79/1.15 )
% 0.79/1.15 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.79/1.15 inverse( divide( X, identity ) ) ) )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 223, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.79/1.15 , clause( 34, [ =( inverse( inverse( divide( X, identity ) ) ), X ) ] )
% 0.79/1.15 , 0, clause( 222, [ =( inverse( inverse( divide( X, identity ) ) ), inverse(
% 0.79/1.15 inverse( X ) ) ) ] )
% 0.79/1.15 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.79/1.15 ).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 eqswap(
% 0.79/1.15 clause( 224, [ =( inverse( inverse( X ) ), X ) ] )
% 0.79/1.15 , clause( 223, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.79/1.15 , 0, substitution( 0, [ :=( X, X )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 subsumption(
% 0.79/1.15 clause( 45, [ =( inverse( inverse( X ) ), X ) ] )
% 0.79/1.15 , clause( 224, [ =( inverse( inverse( X ) ), X ) ] )
% 0.79/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 eqswap(
% 0.79/1.15 clause( 226, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.79/1.15 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.79/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 228, [ =( multiply( X, inverse( divide( Y, identity ) ) ), divide(
% 0.79/1.15 X, Y ) ) ] )
% 0.79/1.15 , clause( 34, [ =( inverse( inverse( divide( X, identity ) ) ), X ) ] )
% 0.79/1.15 , 0, clause( 226, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.79/1.15 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.79/1.15 :=( Y, inverse( divide( Y, identity ) ) )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 229, [ =( multiply( X, inverse( Y ) ), divide( X, Y ) ) ] )
% 0.79/1.15 , clause( 44, [ =( divide( X, identity ), X ) ] )
% 0.79/1.15 , 0, clause( 228, [ =( multiply( X, inverse( divide( Y, identity ) ) ),
% 0.79/1.15 divide( X, Y ) ) ] )
% 0.79/1.15 , 0, 4, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.79/1.15 :=( Y, Y )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 subsumption(
% 0.79/1.15 clause( 48, [ =( multiply( Y, inverse( X ) ), divide( Y, X ) ) ] )
% 0.79/1.15 , clause( 229, [ =( multiply( X, inverse( Y ) ), divide( X, Y ) ) ] )
% 0.79/1.15 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.79/1.15 )] ) ).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 eqswap(
% 0.79/1.15 clause( 232, [ =( X, divide( inverse( inverse( multiply( X, Y ) ) ), Y ) )
% 0.79/1.15 ] )
% 0.79/1.15 , clause( 12, [ =( divide( inverse( inverse( multiply( X, Y ) ) ), Y ), X )
% 0.79/1.15 ] )
% 0.79/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 233, [ =( X, divide( multiply( X, Y ), Y ) ) ] )
% 0.79/1.15 , clause( 45, [ =( inverse( inverse( X ) ), X ) ] )
% 0.79/1.15 , 0, clause( 232, [ =( X, divide( inverse( inverse( multiply( X, Y ) ) ), Y
% 0.79/1.15 ) ) ] )
% 0.79/1.15 , 0, 3, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 0.79/1.15 :=( X, X ), :=( Y, Y )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 eqswap(
% 0.79/1.15 clause( 234, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 0.79/1.15 , clause( 233, [ =( X, divide( multiply( X, Y ), Y ) ) ] )
% 0.79/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 subsumption(
% 0.79/1.15 clause( 50, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 0.79/1.15 , clause( 234, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 0.79/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.79/1.15 )] ) ).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 eqswap(
% 0.79/1.15 clause( 236, [ =( Y, multiply( inverse( divide( X, divide( Y, identity ) )
% 0.79/1.15 ), X ) ) ] )
% 0.79/1.15 , clause( 15, [ =( multiply( inverse( divide( X, divide( Y, identity ) ) )
% 0.79/1.15 , X ), Y ) ] )
% 0.79/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 241, [ =( X, multiply( inverse( Y ), multiply( Y, divide( X,
% 0.79/1.15 identity ) ) ) ) ] )
% 0.79/1.15 , clause( 50, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 0.79/1.15 , 0, clause( 236, [ =( Y, multiply( inverse( divide( X, divide( Y, identity
% 0.79/1.15 ) ) ), X ) ) ] )
% 0.79/1.15 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, divide( X, identity ) )] ),
% 0.79/1.15 substitution( 1, [ :=( X, multiply( Y, divide( X, identity ) ) ), :=( Y,
% 0.79/1.15 X )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 243, [ =( X, multiply( inverse( Y ), multiply( Y, X ) ) ) ] )
% 0.79/1.15 , clause( 44, [ =( divide( X, identity ), X ) ] )
% 0.79/1.15 , 0, clause( 241, [ =( X, multiply( inverse( Y ), multiply( Y, divide( X,
% 0.79/1.15 identity ) ) ) ) ] )
% 0.79/1.15 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.79/1.15 :=( Y, Y )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 eqswap(
% 0.79/1.15 clause( 244, [ =( multiply( inverse( Y ), multiply( Y, X ) ), X ) ] )
% 0.79/1.15 , clause( 243, [ =( X, multiply( inverse( Y ), multiply( Y, X ) ) ) ] )
% 0.79/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 subsumption(
% 0.79/1.15 clause( 58, [ =( multiply( inverse( X ), multiply( X, Y ) ), Y ) ] )
% 0.79/1.15 , clause( 244, [ =( multiply( inverse( Y ), multiply( Y, X ) ), X ) ] )
% 0.79/1.15 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.79/1.15 )] ) ).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 eqswap(
% 0.79/1.15 clause( 245, [ =( X, divide( multiply( X, Y ), Y ) ) ] )
% 0.79/1.15 , clause( 50, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 0.79/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 248, [ =( X, multiply( multiply( X, inverse( Y ) ), Y ) ) ] )
% 0.79/1.15 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.79/1.15 , 0, clause( 245, [ =( X, divide( multiply( X, Y ), Y ) ) ] )
% 0.79/1.15 , 0, 2, substitution( 0, [ :=( X, multiply( X, inverse( Y ) ) ), :=( Y, Y )] )
% 0.79/1.15 , substitution( 1, [ :=( X, X ), :=( Y, inverse( Y ) )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 249, [ =( X, multiply( divide( X, Y ), Y ) ) ] )
% 0.79/1.15 , clause( 48, [ =( multiply( Y, inverse( X ) ), divide( Y, X ) ) ] )
% 0.79/1.15 , 0, clause( 248, [ =( X, multiply( multiply( X, inverse( Y ) ), Y ) ) ] )
% 0.79/1.15 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.79/1.15 :=( X, X ), :=( Y, Y )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 eqswap(
% 0.79/1.15 clause( 250, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 0.79/1.15 , clause( 249, [ =( X, multiply( divide( X, Y ), Y ) ) ] )
% 0.79/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 subsumption(
% 0.79/1.15 clause( 60, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 0.79/1.15 , clause( 250, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 0.79/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.79/1.15 )] ) ).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 eqswap(
% 0.79/1.15 clause( 252, [ =( X, divide( multiply( X, Y ), Y ) ) ] )
% 0.79/1.15 , clause( 50, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 0.79/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 253, [ =( inverse( X ), divide( Y, multiply( X, Y ) ) ) ] )
% 0.79/1.15 , clause( 58, [ =( multiply( inverse( X ), multiply( X, Y ) ), Y ) ] )
% 0.79/1.15 , 0, clause( 252, [ =( X, divide( multiply( X, Y ), Y ) ) ] )
% 0.79/1.15 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.79/1.15 :=( X, inverse( X ) ), :=( Y, multiply( X, Y ) )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 eqswap(
% 0.79/1.15 clause( 254, [ =( divide( Y, multiply( X, Y ) ), inverse( X ) ) ] )
% 0.79/1.15 , clause( 253, [ =( inverse( X ), divide( Y, multiply( X, Y ) ) ) ] )
% 0.79/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 subsumption(
% 0.79/1.15 clause( 62, [ =( divide( Y, multiply( X, Y ) ), inverse( X ) ) ] )
% 0.79/1.15 , clause( 254, [ =( divide( Y, multiply( X, Y ) ), inverse( X ) ) ] )
% 0.79/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.79/1.15 )] ) ).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 eqswap(
% 0.79/1.15 clause( 256, [ =( inverse( Y ), divide( X, multiply( Y, X ) ) ) ] )
% 0.79/1.15 , clause( 62, [ =( divide( Y, multiply( X, Y ) ), inverse( X ) ) ] )
% 0.79/1.15 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 259, [ =( inverse( divide( X, Y ) ), divide( Y, X ) ) ] )
% 0.79/1.15 , clause( 60, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 0.79/1.15 , 0, clause( 256, [ =( inverse( Y ), divide( X, multiply( Y, X ) ) ) ] )
% 0.79/1.15 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.79/1.15 :=( X, Y ), :=( Y, divide( X, Y ) )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 subsumption(
% 0.79/1.15 clause( 65, [ =( inverse( divide( X, Y ) ), divide( Y, X ) ) ] )
% 0.79/1.15 , clause( 259, [ =( inverse( divide( X, Y ) ), divide( Y, X ) ) ] )
% 0.79/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.79/1.15 )] ) ).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 eqswap(
% 0.79/1.15 clause( 262, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.79/1.15 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.79/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 267, [ =( multiply( X, divide( Y, Z ) ), divide( X, divide( Z, Y )
% 0.79/1.15 ) ) ] )
% 0.79/1.15 , clause( 65, [ =( inverse( divide( X, Y ) ), divide( Y, X ) ) ] )
% 0.79/1.15 , 0, clause( 262, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.79/1.15 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.79/1.15 :=( X, X ), :=( Y, divide( Y, Z ) )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 subsumption(
% 0.79/1.15 clause( 76, [ =( multiply( Z, divide( X, Y ) ), divide( Z, divide( Y, X ) )
% 0.79/1.15 ) ] )
% 0.79/1.15 , clause( 267, [ =( multiply( X, divide( Y, Z ) ), divide( X, divide( Z, Y
% 0.79/1.15 ) ) ) ] )
% 0.79/1.15 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.79/1.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 eqswap(
% 0.79/1.15 clause( 270, [ =( divide( Y, X ), inverse( divide( X, Y ) ) ) ] )
% 0.79/1.15 , clause( 65, [ =( inverse( divide( X, Y ) ), divide( Y, X ) ) ] )
% 0.79/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 274, [ =( divide( inverse( X ), Y ), inverse( multiply( Y, X ) ) )
% 0.79/1.15 ] )
% 0.79/1.15 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.79/1.15 , 0, clause( 270, [ =( divide( Y, X ), inverse( divide( X, Y ) ) ) ] )
% 0.79/1.15 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.79/1.15 :=( X, Y ), :=( Y, inverse( X ) )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 subsumption(
% 0.79/1.15 clause( 77, [ =( divide( inverse( Y ), X ), inverse( multiply( X, Y ) ) ) ]
% 0.79/1.15 )
% 0.79/1.15 , clause( 274, [ =( divide( inverse( X ), Y ), inverse( multiply( Y, X ) )
% 0.79/1.15 ) ] )
% 0.79/1.15 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.79/1.15 )] ) ).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 281, [ ~( =( a2, a2 ) ), ~( =( multiply( a3, multiply( b3, c3 ) ),
% 0.79/1.15 multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 0.79/1.15 , clause( 45, [ =( inverse( inverse( X ) ), X ) ] )
% 0.79/1.15 , 0, clause( 16, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 0.79/1.15 multiply( a3, b3 ), c3 ) ) ), ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.79/1.15 , 1, 2, substitution( 0, [ :=( X, a2 )] ), substitution( 1, [] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 eqrefl(
% 0.79/1.15 clause( 282, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.79/1.15 a3, b3 ), c3 ) ) ) ] )
% 0.79/1.15 , clause( 281, [ ~( =( a2, a2 ) ), ~( =( multiply( a3, multiply( b3, c3 ) )
% 0.79/1.15 , multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 0.79/1.15 , 0, substitution( 0, [] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 subsumption(
% 0.79/1.15 clause( 78, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.79/1.15 a3, b3 ), c3 ) ) ) ] )
% 0.79/1.15 , clause( 282, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 0.79/1.15 multiply( a3, b3 ), c3 ) ) ) ] )
% 0.79/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 eqswap(
% 0.79/1.15 clause( 285, [ =( X, multiply( divide( X, Y ), Y ) ) ] )
% 0.79/1.15 , clause( 60, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 0.79/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 288, [ =( inverse( X ), multiply( inverse( multiply( Y, X ) ), Y )
% 0.79/1.15 ) ] )
% 0.79/1.15 , clause( 77, [ =( divide( inverse( Y ), X ), inverse( multiply( X, Y ) ) )
% 0.79/1.15 ] )
% 0.79/1.15 , 0, clause( 285, [ =( X, multiply( divide( X, Y ), Y ) ) ] )
% 0.79/1.15 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.79/1.15 :=( X, inverse( X ) ), :=( Y, Y )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 eqswap(
% 0.79/1.15 clause( 289, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X )
% 0.79/1.15 ) ] )
% 0.79/1.15 , clause( 288, [ =( inverse( X ), multiply( inverse( multiply( Y, X ) ), Y
% 0.79/1.15 ) ) ] )
% 0.79/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 subsumption(
% 0.79/1.15 clause( 79, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X ) )
% 0.79/1.15 ] )
% 0.79/1.15 , clause( 289, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 0.79/1.15 ) ) ] )
% 0.79/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.79/1.15 )] ) ).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 eqswap(
% 0.79/1.15 clause( 290, [ =( divide( X, divide( Z, Y ) ), multiply( X, divide( Y, Z )
% 0.79/1.15 ) ) ] )
% 0.79/1.15 , clause( 76, [ =( multiply( Z, divide( X, Y ) ), divide( Z, divide( Y, X )
% 0.79/1.15 ) ) ] )
% 0.79/1.15 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 292, [ =( divide( divide( X, divide( Y, Z ) ), divide( Z, Y ) ), X
% 0.79/1.15 ) ] )
% 0.79/1.15 , clause( 60, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 0.79/1.15 , 0, clause( 290, [ =( divide( X, divide( Z, Y ) ), multiply( X, divide( Y
% 0.79/1.15 , Z ) ) ) ] )
% 0.79/1.15 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, divide( Y, Z ) )] ),
% 0.79/1.15 substitution( 1, [ :=( X, divide( X, divide( Y, Z ) ) ), :=( Y, Y ), :=(
% 0.79/1.15 Z, Z )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 subsumption(
% 0.79/1.15 clause( 93, [ =( divide( divide( X, divide( Y, Z ) ), divide( Z, Y ) ), X )
% 0.79/1.15 ] )
% 0.79/1.15 , clause( 292, [ =( divide( divide( X, divide( Y, Z ) ), divide( Z, Y ) ),
% 0.79/1.15 X ) ] )
% 0.79/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.79/1.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 eqswap(
% 0.79/1.15 clause( 295, [ =( Y, divide( inverse( divide( X, divide( Y, divide( inverse(
% 0.79/1.15 X ), Z ) ) ) ), Z ) ) ] )
% 0.79/1.15 , clause( 10, [ =( divide( inverse( divide( X, divide( Y, divide( inverse(
% 0.79/1.15 X ), Z ) ) ) ), Z ), Y ) ] )
% 0.79/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 306, [ =( divide( X, divide( Y, inverse( Z ) ) ), divide( inverse(
% 0.79/1.15 divide( Z, X ) ), Y ) ) ] )
% 0.79/1.15 , clause( 93, [ =( divide( divide( X, divide( Y, Z ) ), divide( Z, Y ) ), X
% 0.79/1.15 ) ] )
% 0.79/1.15 , 0, clause( 295, [ =( Y, divide( inverse( divide( X, divide( Y, divide(
% 0.79/1.15 inverse( X ), Z ) ) ) ), Z ) ) ] )
% 0.79/1.15 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, inverse( Z ) )] )
% 0.79/1.15 , substitution( 1, [ :=( X, Z ), :=( Y, divide( X, divide( Y, inverse( Z
% 0.79/1.15 ) ) ) ), :=( Z, Y )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 307, [ =( divide( X, divide( Y, inverse( Z ) ) ), inverse( multiply(
% 0.79/1.15 Y, divide( Z, X ) ) ) ) ] )
% 0.79/1.15 , clause( 77, [ =( divide( inverse( Y ), X ), inverse( multiply( X, Y ) ) )
% 0.79/1.15 ] )
% 0.79/1.15 , 0, clause( 306, [ =( divide( X, divide( Y, inverse( Z ) ) ), divide(
% 0.79/1.15 inverse( divide( Z, X ) ), Y ) ) ] )
% 0.79/1.15 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, divide( Z, X ) )] ),
% 0.79/1.15 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 308, [ =( divide( X, divide( Y, inverse( Z ) ) ), inverse( divide(
% 0.79/1.15 Y, divide( X, Z ) ) ) ) ] )
% 0.79/1.15 , clause( 76, [ =( multiply( Z, divide( X, Y ) ), divide( Z, divide( Y, X )
% 0.79/1.15 ) ) ] )
% 0.79/1.15 , 0, clause( 307, [ =( divide( X, divide( Y, inverse( Z ) ) ), inverse(
% 0.79/1.15 multiply( Y, divide( Z, X ) ) ) ) ] )
% 0.79/1.15 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.79/1.15 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 309, [ =( divide( X, divide( Y, inverse( Z ) ) ), divide( divide( X
% 0.79/1.15 , Z ), Y ) ) ] )
% 0.79/1.15 , clause( 65, [ =( inverse( divide( X, Y ) ), divide( Y, X ) ) ] )
% 0.79/1.15 , 0, clause( 308, [ =( divide( X, divide( Y, inverse( Z ) ) ), inverse(
% 0.79/1.15 divide( Y, divide( X, Z ) ) ) ) ] )
% 0.79/1.15 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, divide( X, Z ) )] ),
% 0.79/1.15 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 310, [ =( divide( X, multiply( Y, Z ) ), divide( divide( X, Z ), Y
% 0.79/1.15 ) ) ] )
% 0.79/1.15 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.79/1.15 , 0, clause( 309, [ =( divide( X, divide( Y, inverse( Z ) ) ), divide(
% 0.79/1.15 divide( X, Z ), Y ) ) ] )
% 0.79/1.15 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.79/1.15 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 subsumption(
% 0.79/1.15 clause( 94, [ =( divide( X, multiply( Y, Z ) ), divide( divide( X, Z ), Y )
% 0.79/1.15 ) ] )
% 0.79/1.15 , clause( 310, [ =( divide( X, multiply( Y, Z ) ), divide( divide( X, Z ),
% 0.79/1.15 Y ) ) ] )
% 0.79/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.79/1.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 eqswap(
% 0.79/1.15 clause( 313, [ =( divide( divide( X, Z ), Y ), divide( X, multiply( Y, Z )
% 0.79/1.15 ) ) ] )
% 0.79/1.15 , clause( 94, [ =( divide( X, multiply( Y, Z ) ), divide( divide( X, Z ), Y
% 0.79/1.15 ) ) ] )
% 0.79/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 316, [ =( divide( divide( X, Y ), inverse( multiply( Y, Z ) ) ),
% 0.79/1.15 divide( X, inverse( Z ) ) ) ] )
% 0.79/1.15 , clause( 79, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X )
% 0.79/1.15 ) ] )
% 0.79/1.15 , 0, clause( 313, [ =( divide( divide( X, Z ), Y ), divide( X, multiply( Y
% 0.79/1.15 , Z ) ) ) ] )
% 0.79/1.15 , 0, 11, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.79/1.15 :=( X, X ), :=( Y, inverse( multiply( Y, Z ) ) ), :=( Z, Y )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 318, [ =( divide( divide( X, Y ), inverse( multiply( Y, Z ) ) ),
% 0.79/1.15 multiply( X, Z ) ) ] )
% 0.79/1.15 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.79/1.15 , 0, clause( 316, [ =( divide( divide( X, Y ), inverse( multiply( Y, Z ) )
% 0.79/1.15 ), divide( X, inverse( Z ) ) ) ] )
% 0.79/1.15 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [
% 0.79/1.15 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 320, [ =( multiply( divide( X, Y ), multiply( Y, Z ) ), multiply( X
% 0.79/1.15 , Z ) ) ] )
% 0.79/1.15 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.79/1.15 , 0, clause( 318, [ =( divide( divide( X, Y ), inverse( multiply( Y, Z ) )
% 0.79/1.15 ), multiply( X, Z ) ) ] )
% 0.79/1.15 , 0, 1, substitution( 0, [ :=( X, divide( X, Y ) ), :=( Y, multiply( Y, Z )
% 0.79/1.15 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 subsumption(
% 0.79/1.15 clause( 101, [ =( multiply( divide( Z, X ), multiply( X, Y ) ), multiply( Z
% 0.79/1.15 , Y ) ) ] )
% 0.79/1.15 , clause( 320, [ =( multiply( divide( X, Y ), multiply( Y, Z ) ), multiply(
% 0.79/1.15 X, Z ) ) ] )
% 0.79/1.15 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.79/1.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 eqswap(
% 0.79/1.15 clause( 323, [ =( divide( divide( X, Z ), Y ), divide( X, multiply( Y, Z )
% 0.79/1.15 ) ) ] )
% 0.79/1.15 , clause( 94, [ =( divide( X, multiply( Y, Z ) ), divide( divide( X, Z ), Y
% 0.79/1.15 ) ) ] )
% 0.79/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 326, [ =( divide( divide( X, inverse( Y ) ), Z ), divide( X, divide(
% 0.79/1.15 Z, Y ) ) ) ] )
% 0.79/1.15 , clause( 48, [ =( multiply( Y, inverse( X ) ), divide( Y, X ) ) ] )
% 0.79/1.15 , 0, clause( 323, [ =( divide( divide( X, Z ), Y ), divide( X, multiply( Y
% 0.79/1.15 , Z ) ) ) ] )
% 0.79/1.15 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.79/1.15 :=( X, X ), :=( Y, Z ), :=( Z, inverse( Y ) )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 327, [ =( divide( multiply( X, Y ), Z ), divide( X, divide( Z, Y )
% 0.79/1.15 ) ) ] )
% 0.79/1.15 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.79/1.15 , 0, clause( 326, [ =( divide( divide( X, inverse( Y ) ), Z ), divide( X,
% 0.79/1.15 divide( Z, Y ) ) ) ] )
% 0.79/1.15 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.79/1.15 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 eqswap(
% 0.79/1.15 clause( 328, [ =( divide( X, divide( Z, Y ) ), divide( multiply( X, Y ), Z
% 0.79/1.15 ) ) ] )
% 0.79/1.15 , clause( 327, [ =( divide( multiply( X, Y ), Z ), divide( X, divide( Z, Y
% 0.79/1.15 ) ) ) ] )
% 0.79/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 subsumption(
% 0.79/1.15 clause( 103, [ =( divide( Z, divide( X, Y ) ), divide( multiply( Z, Y ), X
% 0.79/1.15 ) ) ] )
% 0.79/1.15 , clause( 328, [ =( divide( X, divide( Z, Y ) ), divide( multiply( X, Y ),
% 0.79/1.15 Z ) ) ] )
% 0.79/1.15 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.79/1.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 eqswap(
% 0.79/1.15 clause( 329, [ =( multiply( X, Z ), multiply( divide( X, Y ), multiply( Y,
% 0.79/1.15 Z ) ) ) ] )
% 0.79/1.15 , clause( 101, [ =( multiply( divide( Z, X ), multiply( X, Y ) ), multiply(
% 0.79/1.15 Z, Y ) ) ] )
% 0.79/1.15 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 335, [ =( multiply( X, multiply( Y, Z ) ), multiply( divide( X,
% 0.79/1.15 divide( T, Y ) ), multiply( T, Z ) ) ) ] )
% 0.79/1.15 , clause( 101, [ =( multiply( divide( Z, X ), multiply( X, Y ) ), multiply(
% 0.79/1.15 Z, Y ) ) ] )
% 0.79/1.15 , 0, clause( 329, [ =( multiply( X, Z ), multiply( divide( X, Y ), multiply(
% 0.79/1.15 Y, Z ) ) ) ] )
% 0.79/1.15 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T )] ),
% 0.79/1.15 substitution( 1, [ :=( X, X ), :=( Y, divide( T, Y ) ), :=( Z, multiply(
% 0.79/1.15 Y, Z ) )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 337, [ =( multiply( X, multiply( Y, Z ) ), multiply( divide(
% 0.79/1.15 multiply( X, Y ), T ), multiply( T, Z ) ) ) ] )
% 0.79/1.15 , clause( 103, [ =( divide( Z, divide( X, Y ) ), divide( multiply( Z, Y ),
% 0.79/1.15 X ) ) ] )
% 0.79/1.15 , 0, clause( 335, [ =( multiply( X, multiply( Y, Z ) ), multiply( divide( X
% 0.79/1.15 , divide( T, Y ) ), multiply( T, Z ) ) ) ] )
% 0.79/1.15 , 0, 7, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, X )] ),
% 0.79/1.15 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 paramod(
% 0.79/1.15 clause( 338, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.79/1.15 ), Z ) ) ] )
% 0.79/1.15 , clause( 101, [ =( multiply( divide( Z, X ), multiply( X, Y ) ), multiply(
% 0.79/1.15 Z, Y ) ) ] )
% 0.79/1.15 , 0, clause( 337, [ =( multiply( X, multiply( Y, Z ) ), multiply( divide(
% 0.79/1.15 multiply( X, Y ), T ), multiply( T, Z ) ) ) ] )
% 0.79/1.15 , 0, 6, substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, multiply( X, Y )
% 0.79/1.15 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.79/1.15 ).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 subsumption(
% 0.79/1.15 clause( 104, [ =( multiply( T, multiply( Y, Z ) ), multiply( multiply( T, Y
% 0.79/1.15 ), Z ) ) ] )
% 0.79/1.15 , clause( 338, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 0.79/1.15 , Y ), Z ) ) ] )
% 0.79/1.15 , substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z )] ),
% 0.79/1.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 eqswap(
% 0.79/1.15 clause( 340, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y
% 0.79/1.15 , Z ) ) ) ] )
% 0.79/1.15 , clause( 104, [ =( multiply( T, multiply( Y, Z ) ), multiply( multiply( T
% 0.79/1.15 , Y ), Z ) ) ] )
% 0.79/1.15 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] )
% 0.79/1.15 ).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 eqswap(
% 0.79/1.15 clause( 341, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3,
% 0.79/1.15 multiply( b3, c3 ) ) ) ) ] )
% 0.79/1.15 , clause( 78, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 0.79/1.15 multiply( a3, b3 ), c3 ) ) ) ] )
% 0.79/1.15 , 0, substitution( 0, [] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 resolution(
% 0.79/1.15 clause( 342, [] )
% 0.79/1.15 , clause( 341, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3,
% 0.79/1.15 multiply( b3, c3 ) ) ) ) ] )
% 0.79/1.15 , 0, clause( 340, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.79/1.15 multiply( Y, Z ) ) ) ] )
% 0.79/1.15 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a3 ), :=( Y, b3 ),
% 0.79/1.15 :=( Z, c3 )] )).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 subsumption(
% 0.79/1.15 clause( 105, [] )
% 0.79/1.15 , clause( 342, [] )
% 0.79/1.15 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 end.
% 0.79/1.15
% 0.79/1.15 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.79/1.15
% 0.79/1.15 Memory use:
% 0.79/1.15
% 0.79/1.15 space for terms: 1351
% 0.79/1.15 space for clauses: 13149
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 clauses generated: 546
% 0.79/1.15 clauses kept: 106
% 0.79/1.15 clauses selected: 32
% 0.79/1.15 clauses deleted: 17
% 0.79/1.15 clauses inuse deleted: 0
% 0.79/1.15
% 0.79/1.15 subsentry: 813
% 0.79/1.15 literals s-matched: 230
% 0.79/1.15 literals matched: 228
% 0.79/1.15 full subsumption: 0
% 0.79/1.15
% 0.79/1.15 checksum: -773586101
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 Bliksem ended
%------------------------------------------------------------------------------