%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP069-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.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 07:34:42 EDT 2022
% Result : Unsatisfiable 0.42s 1.08s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP069-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Tue Jun 14 03:31:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.42/1.08 *** allocated 10000 integers for termspace/termends
% 0.42/1.08 *** allocated 10000 integers for clauses
% 0.42/1.08 *** allocated 10000 integers for justifications
% 0.42/1.08 Bliksem 1.12
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Automatic Strategy Selection
% 0.42/1.08
% 0.42/1.08 Clauses:
% 0.42/1.08 [
% 0.42/1.08 [ =( divide( X, divide( divide( divide( divide( X, X ), Y ), Z ), divide(
% 0.42/1.08 divide( identity, X ), Z ) ) ), Y ) ],
% 0.42/1.08 [ =( multiply( X, Y ), divide( X, divide( identity, Y ) ) ) ],
% 0.42/1.08 [ =( inverse( X ), divide( identity, X ) ) ],
% 0.42/1.08 [ =( identity, divide( X, X ) ) ],
% 0.42/1.08 [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ), ~( =( multiply(
% 0.42/1.08 identity, a2 ), a2 ) ), ~( =( multiply( multiply( a3, b3 ), c3 ),
% 0.42/1.08 multiply( a3, multiply( b3, c3 ) ) ) ) ]
% 0.42/1.08 ] .
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 percentage equality = 1.000000, percentage horn = 1.000000
% 0.42/1.08 This is a pure equality problem
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Options Used:
% 0.42/1.08
% 0.42/1.08 useres = 1
% 0.42/1.08 useparamod = 1
% 0.42/1.08 useeqrefl = 1
% 0.42/1.08 useeqfact = 1
% 0.42/1.08 usefactor = 1
% 0.42/1.08 usesimpsplitting = 0
% 0.42/1.08 usesimpdemod = 5
% 0.42/1.08 usesimpres = 3
% 0.42/1.08
% 0.42/1.08 resimpinuse = 1000
% 0.42/1.08 resimpclauses = 20000
% 0.42/1.08 substype = eqrewr
% 0.42/1.08 backwardsubs = 1
% 0.42/1.08 selectoldest = 5
% 0.42/1.08
% 0.42/1.08 litorderings [0] = split
% 0.42/1.08 litorderings [1] = extend the termordering, first sorting on arguments
% 0.42/1.08
% 0.42/1.08 termordering = kbo
% 0.42/1.08
% 0.42/1.08 litapriori = 0
% 0.42/1.08 termapriori = 1
% 0.42/1.08 litaposteriori = 0
% 0.42/1.08 termaposteriori = 0
% 0.42/1.08 demodaposteriori = 0
% 0.42/1.08 ordereqreflfact = 0
% 0.42/1.08
% 0.42/1.08 litselect = negord
% 0.42/1.08
% 0.42/1.08 maxweight = 15
% 0.42/1.08 maxdepth = 30000
% 0.42/1.08 maxlength = 115
% 0.42/1.08 maxnrvars = 195
% 0.42/1.08 excuselevel = 1
% 0.42/1.08 increasemaxweight = 1
% 0.42/1.08
% 0.42/1.08 maxselected = 10000000
% 0.42/1.08 maxnrclauses = 10000000
% 0.42/1.08
% 0.42/1.08 showgenerated = 0
% 0.42/1.08 showkept = 0
% 0.42/1.08 showselected = 0
% 0.42/1.08 showdeleted = 0
% 0.42/1.08 showresimp = 1
% 0.42/1.08 showstatus = 2000
% 0.42/1.08
% 0.42/1.08 prologoutput = 1
% 0.42/1.08 nrgoals = 5000000
% 0.42/1.08 totalproof = 1
% 0.42/1.08
% 0.42/1.08 Symbols occurring in the translation:
% 0.42/1.08
% 0.42/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.42/1.08 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 0.42/1.08 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 0.42/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.08 divide [40, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.42/1.08 identity [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.42/1.08 multiply [44, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.42/1.08 inverse [45, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.42/1.08 a1 [46, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.42/1.08 a2 [47, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.42/1.08 a3 [48, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.42/1.08 b3 [49, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.42/1.08 c3 [50, 0] (w:1, o:17, a:1, s:1, b:0).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Starting Search:
% 0.42/1.08
% 0.42/1.08 Resimplifying inuse:
% 0.42/1.08 Done
% 0.42/1.08
% 0.42/1.08 Resimplifying inuse:
% 0.42/1.08 Done
% 0.42/1.08
% 0.42/1.08 Failed to find proof!
% 0.42/1.08 maxweight = 15
% 0.42/1.08 maxnrclauses = 10000000
% 0.42/1.08 Generated: 1050
% 0.42/1.08 Kept: 111
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 The strategy used was not complete!
% 0.42/1.08
% 0.42/1.08 Increased maxweight to 16
% 0.42/1.08
% 0.42/1.08 Starting Search:
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Bliksems!, er is een bewijs:
% 0.42/1.08 % SZS status Unsatisfiable
% 0.42/1.08 % SZS output start Refutation
% 0.42/1.08
% 0.42/1.08 clause( 0, [ =( divide( X, divide( divide( divide( divide( X, X ), Y ), Z )
% 0.42/1.08 , divide( divide( identity, X ), Z ) ) ), Y ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 1, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 4, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ), ~( =(
% 0.42/1.08 multiply( identity, a2 ), a2 ) ), ~( =( multiply( a3, multiply( b3, c3 )
% 0.42/1.08 ), multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 5, [ =( inverse( identity ), identity ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 7, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 9, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 10, [ =( divide( X, divide( divide( inverse( Y ), Z ), divide(
% 0.42/1.08 inverse( X ), Z ) ) ), Y ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 14, [ =( divide( X, identity ), X ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 15, [ =( multiply( Y, multiply( inverse( Y ), X ) ), X ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 16, [ =( divide( X, multiply( inverse( Y ), X ) ), Y ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 17, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.42/1.08 a3, b3 ), c3 ) ) ), ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 20, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 21, [ =( inverse( inverse( X ) ), X ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 22, [ =( multiply( inverse( X ), multiply( X, Y ) ), Y ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 23, [ =( divide( Y, divide( divide( X, Z ), divide( inverse( Y ), Z
% 0.42/1.08 ) ) ), inverse( X ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 25, [ =( multiply( Y, inverse( X ) ), divide( Y, X ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 34, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 35, [ =( divide( Y, multiply( X, Y ) ), inverse( X ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 38, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 42, [ =( inverse( divide( X, Y ) ), divide( Y, X ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 52, [ =( divide( inverse( Y ), X ), inverse( multiply( X, Y ) ) ) ]
% 0.42/1.08 )
% 0.42/1.08 .
% 0.42/1.08 clause( 59, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.42/1.08 a3, b3 ), c3 ) ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 62, [ =( divide( Y, multiply( divide( X, Z ), multiply( Z, Y ) ) )
% 0.42/1.08 , inverse( X ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 80, [ =( divide( multiply( divide( Y, Z ), multiply( Z, X ) ), X )
% 0.42/1.08 , Y ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 108, [ =( multiply( divide( X, Y ), multiply( Y, Z ) ), multiply( X
% 0.42/1.08 , Z ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 114, [ =( multiply( X, multiply( Z, T ) ), multiply( multiply( X, Z
% 0.42/1.08 ), T ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 119, [] )
% 0.42/1.08 .
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 % SZS output end Refutation
% 0.42/1.08 found a proof!
% 0.42/1.08
% 0.42/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.08
% 0.42/1.08 initialclauses(
% 0.42/1.08 [ clause( 121, [ =( divide( X, divide( divide( divide( divide( X, X ), Y )
% 0.42/1.08 , Z ), divide( divide( identity, X ), Z ) ) ), Y ) ] )
% 0.42/1.08 , clause( 122, [ =( multiply( X, Y ), divide( X, divide( identity, Y ) ) )
% 0.42/1.08 ] )
% 0.42/1.08 , clause( 123, [ =( inverse( X ), divide( identity, X ) ) ] )
% 0.42/1.08 , clause( 124, [ =( identity, divide( X, X ) ) ] )
% 0.42/1.08 , clause( 125, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ), ~( =(
% 0.42/1.08 multiply( identity, a2 ), a2 ) ), ~( =( multiply( multiply( a3, b3 ), c3
% 0.42/1.08 ), multiply( a3, multiply( b3, c3 ) ) ) ) ] )
% 0.42/1.08 ] ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 0, [ =( divide( X, divide( divide( divide( divide( X, X ), Y ), Z )
% 0.42/1.08 , divide( divide( identity, X ), Z ) ) ), Y ) ] )
% 0.42/1.08 , clause( 121, [ =( divide( X, divide( divide( divide( divide( X, X ), Y )
% 0.42/1.08 , Z ), divide( divide( identity, X ), Z ) ) ), Y ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.42/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 128, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ]
% 0.42/1.08 )
% 0.42/1.08 , clause( 122, [ =( multiply( X, Y ), divide( X, divide( identity, Y ) ) )
% 0.42/1.08 ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 1, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ] )
% 0.42/1.08 , clause( 128, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) )
% 0.42/1.08 ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.08 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 131, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.42/1.08 , clause( 123, [ =( inverse( X ), divide( identity, X ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.42/1.08 , clause( 131, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 135, [ =( divide( X, X ), identity ) ] )
% 0.42/1.08 , clause( 124, [ =( identity, divide( X, X ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.42/1.08 , clause( 135, [ =( divide( X, X ), identity ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 142, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.42/1.08 a3, b3 ), c3 ) ) ), ~( =( multiply( inverse( a1 ), a1 ), identity ) ),
% 0.42/1.08 ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.42/1.08 , clause( 125, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ), ~( =(
% 0.42/1.08 multiply( identity, a2 ), a2 ) ), ~( =( multiply( multiply( a3, b3 ), c3
% 0.42/1.08 ), multiply( a3, multiply( b3, c3 ) ) ) ) ] )
% 0.42/1.08 , 2, substitution( 0, [] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 4, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ), ~( =(
% 0.42/1.08 multiply( identity, a2 ), a2 ) ), ~( =( multiply( a3, multiply( b3, c3 )
% 0.42/1.08 ), multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 0.42/1.08 , clause( 142, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 0.42/1.08 multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( inverse( a1 ), a1 ),
% 0.42/1.08 identity ) ), ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.42/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.42/1.08 , 1 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 147, [ =( inverse( X ), divide( identity, X ) ) ] )
% 0.42/1.08 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 149, [ =( inverse( identity ), identity ) ] )
% 0.42/1.08 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.42/1.08 , 0, clause( 147, [ =( inverse( X ), divide( identity, X ) ) ] )
% 0.42/1.08 , 0, 3, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.42/1.08 identity )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 5, [ =( inverse( identity ), identity ) ] )
% 0.42/1.08 , clause( 149, [ =( inverse( identity ), identity ) ] )
% 0.42/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 153, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.42/1.08 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.42/1.08 , 0, clause( 1, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) )
% 0.42/1.08 ] )
% 0.42/1.08 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.42/1.08 :=( Y, Y )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.42/1.08 , clause( 153, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.08 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 156, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.42/1.08 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 157, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 0.42/1.08 , clause( 5, [ =( inverse( identity ), identity ) ] )
% 0.42/1.08 , 0, clause( 156, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.42/1.08 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 0.42/1.08 identity )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 7, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 0.42/1.08 , clause( 157, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 159, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.42/1.08 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 161, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.42/1.08 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.42/1.08 , 0, clause( 159, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.42/1.08 , 0, 4, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.42/1.08 :=( X, identity ), :=( Y, X )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.42/1.08 , clause( 161, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 163, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.42/1.08 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 165, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.72/1.08 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.72/1.08 , 0, clause( 163, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.72/1.08 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.72/1.08 :=( X, inverse( X ) ), :=( Y, X )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 9, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.72/1.08 , clause( 165, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 171, [ =( divide( X, divide( divide( divide( identity, Y ), Z ),
% 0.72/1.08 divide( divide( identity, X ), Z ) ) ), Y ) ] )
% 0.72/1.08 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.72/1.08 , 0, clause( 0, [ =( divide( X, divide( divide( divide( divide( X, X ), Y )
% 0.72/1.08 , Z ), divide( divide( identity, X ), Z ) ) ), Y ) ] )
% 0.72/1.08 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.72/1.08 :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 173, [ =( divide( X, divide( divide( divide( identity, Y ), Z ),
% 0.72/1.08 divide( inverse( X ), Z ) ) ), Y ) ] )
% 0.72/1.08 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.72/1.08 , 0, clause( 171, [ =( divide( X, divide( divide( divide( identity, Y ), Z
% 0.72/1.08 ), divide( divide( identity, X ), Z ) ) ), Y ) ] )
% 0.72/1.08 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.72/1.08 :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 175, [ =( divide( X, divide( divide( inverse( Y ), Z ), divide(
% 0.72/1.08 inverse( X ), Z ) ) ), Y ) ] )
% 0.72/1.08 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.72/1.08 , 0, clause( 173, [ =( divide( X, divide( divide( divide( identity, Y ), Z
% 0.72/1.08 ), divide( inverse( X ), Z ) ) ), Y ) ] )
% 0.72/1.08 , 0, 5, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.72/1.08 :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 10, [ =( divide( X, divide( divide( inverse( Y ), Z ), divide(
% 0.72/1.08 inverse( X ), Z ) ) ), Y ) ] )
% 0.72/1.08 , clause( 175, [ =( divide( X, divide( divide( inverse( Y ), Z ), divide(
% 0.72/1.08 inverse( X ), Z ) ) ), Y ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 178, [ =( Y, divide( X, divide( divide( inverse( Y ), Z ), divide(
% 0.72/1.08 inverse( X ), Z ) ) ) ) ] )
% 0.72/1.08 , clause( 10, [ =( divide( X, divide( divide( inverse( Y ), Z ), divide(
% 0.72/1.08 inverse( X ), Z ) ) ), Y ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 179, [ =( X, divide( X, identity ) ) ] )
% 0.72/1.08 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.72/1.08 , 0, clause( 178, [ =( Y, divide( X, divide( divide( inverse( Y ), Z ),
% 0.72/1.08 divide( inverse( X ), Z ) ) ) ) ] )
% 0.72/1.08 , 0, 4, substitution( 0, [ :=( X, divide( inverse( X ), Y ) )] ),
% 0.72/1.08 substitution( 1, [ :=( X, X ), :=( Y, X ), :=( Z, Y )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 182, [ =( divide( X, identity ), X ) ] )
% 0.72/1.08 , clause( 179, [ =( X, divide( X, identity ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 14, [ =( divide( X, identity ), X ) ] )
% 0.72/1.08 , clause( 182, [ =( divide( X, identity ), X ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 186, [ =( Y, divide( X, divide( divide( inverse( Y ), Z ), divide(
% 0.72/1.08 inverse( X ), Z ) ) ) ) ] )
% 0.72/1.08 , clause( 10, [ =( divide( X, divide( divide( inverse( Y ), Z ), divide(
% 0.72/1.08 inverse( X ), Z ) ) ), Y ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 191, [ =( X, divide( Y, divide( identity, divide( inverse( Y ),
% 0.72/1.08 inverse( X ) ) ) ) ) ] )
% 0.72/1.08 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.72/1.08 , 0, clause( 186, [ =( Y, divide( X, divide( divide( inverse( Y ), Z ),
% 0.72/1.08 divide( inverse( X ), Z ) ) ) ) ] )
% 0.72/1.08 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.72/1.08 :=( X, Y ), :=( Y, X ), :=( Z, inverse( X ) )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 193, [ =( X, divide( Y, inverse( divide( inverse( Y ), inverse( X )
% 0.72/1.08 ) ) ) ) ] )
% 0.72/1.08 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.72/1.08 , 0, clause( 191, [ =( X, divide( Y, divide( identity, divide( inverse( Y )
% 0.72/1.08 , inverse( X ) ) ) ) ) ] )
% 0.72/1.08 , 0, 4, substitution( 0, [ :=( X, divide( inverse( Y ), inverse( X ) ) )] )
% 0.72/1.08 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 195, [ =( X, divide( Y, inverse( multiply( inverse( Y ), X ) ) ) )
% 0.72/1.08 ] )
% 0.72/1.08 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.72/1.08 , 0, clause( 193, [ =( X, divide( Y, inverse( divide( inverse( Y ), inverse(
% 0.72/1.08 X ) ) ) ) ) ] )
% 0.72/1.08 , 0, 5, substitution( 0, [ :=( X, inverse( Y ) ), :=( Y, X )] ),
% 0.72/1.08 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 197, [ =( X, multiply( Y, multiply( inverse( Y ), X ) ) ) ] )
% 0.72/1.08 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.72/1.08 , 0, clause( 195, [ =( X, divide( Y, inverse( multiply( inverse( Y ), X ) )
% 0.72/1.08 ) ) ] )
% 0.72/1.08 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, multiply( inverse( Y ), X ) )] )
% 0.72/1.08 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 198, [ =( multiply( Y, multiply( inverse( Y ), X ) ), X ) ] )
% 0.72/1.08 , clause( 197, [ =( X, multiply( Y, multiply( inverse( Y ), X ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 15, [ =( multiply( Y, multiply( inverse( Y ), X ) ), X ) ] )
% 0.72/1.08 , clause( 198, [ =( multiply( Y, multiply( inverse( Y ), X ) ), X ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.08 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 200, [ =( Y, divide( X, divide( divide( inverse( Y ), Z ), divide(
% 0.72/1.08 inverse( X ), Z ) ) ) ) ] )
% 0.72/1.08 , clause( 10, [ =( divide( X, divide( divide( inverse( Y ), Z ), divide(
% 0.72/1.08 inverse( X ), Z ) ) ), Y ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 205, [ =( X, divide( Y, divide( divide( inverse( X ), inverse( Y )
% 0.72/1.08 ), identity ) ) ) ] )
% 0.72/1.08 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.72/1.08 , 0, clause( 200, [ =( Y, divide( X, divide( divide( inverse( Y ), Z ),
% 0.72/1.08 divide( inverse( X ), Z ) ) ) ) ] )
% 0.72/1.08 , 0, 10, substitution( 0, [ :=( X, inverse( Y ) )] ), substitution( 1, [
% 0.72/1.08 :=( X, Y ), :=( Y, X ), :=( Z, inverse( Y ) )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 206, [ =( X, divide( Y, divide( inverse( X ), inverse( Y ) ) ) ) ]
% 0.72/1.08 )
% 0.72/1.08 , clause( 14, [ =( divide( X, identity ), X ) ] )
% 0.72/1.08 , 0, clause( 205, [ =( X, divide( Y, divide( divide( inverse( X ), inverse(
% 0.72/1.08 Y ) ), identity ) ) ) ] )
% 0.72/1.08 , 0, 4, substitution( 0, [ :=( X, divide( inverse( X ), inverse( Y ) ) )] )
% 0.72/1.08 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 207, [ =( X, divide( Y, multiply( inverse( X ), Y ) ) ) ] )
% 0.72/1.08 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.72/1.08 , 0, clause( 206, [ =( X, divide( Y, divide( inverse( X ), inverse( Y ) ) )
% 0.72/1.08 ) ] )
% 0.72/1.08 , 0, 4, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, Y )] ),
% 0.72/1.08 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 208, [ =( divide( Y, multiply( inverse( X ), Y ) ), X ) ] )
% 0.72/1.08 , clause( 207, [ =( X, divide( Y, multiply( inverse( X ), Y ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 16, [ =( divide( X, multiply( inverse( Y ), X ) ), Y ) ] )
% 0.72/1.08 , clause( 208, [ =( divide( Y, multiply( inverse( X ), Y ) ), X ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.08 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 218, [ ~( =( identity, identity ) ), ~( =( multiply( identity, a2 )
% 0.72/1.08 , a2 ) ), ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.72/1.08 a3, b3 ), c3 ) ) ) ] )
% 0.72/1.08 , clause( 9, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.72/1.08 , 0, clause( 4, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ), ~( =(
% 0.72/1.08 multiply( identity, a2 ), a2 ) ), ~( =( multiply( a3, multiply( b3, c3 )
% 0.72/1.08 ), multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 0.72/1.08 , 0, 2, substitution( 0, [ :=( X, a1 )] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqrefl(
% 0.72/1.08 clause( 219, [ ~( =( multiply( identity, a2 ), a2 ) ), ~( =( multiply( a3,
% 0.72/1.08 multiply( b3, c3 ) ), multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 0.72/1.08 , clause( 218, [ ~( =( identity, identity ) ), ~( =( multiply( identity, a2
% 0.72/1.08 ), a2 ) ), ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.72/1.08 a3, b3 ), c3 ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 220, [ ~( =( inverse( inverse( a2 ) ), a2 ) ), ~( =( multiply( a3,
% 0.72/1.08 multiply( b3, c3 ) ), multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 0.72/1.08 , clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.72/1.08 , 0, clause( 219, [ ~( =( multiply( identity, a2 ), a2 ) ), ~( =( multiply(
% 0.72/1.08 a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 0.72/1.08 , 0, 2, substitution( 0, [ :=( X, a2 )] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 17, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.72/1.08 a3, b3 ), c3 ) ) ), ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.72/1.08 , clause( 220, [ ~( =( inverse( inverse( a2 ) ), a2 ) ), ~( =( multiply( a3
% 0.72/1.08 , multiply( b3, c3 ) ), multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.72/1.08 ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 225, [ =( Y, multiply( X, multiply( inverse( X ), Y ) ) ) ] )
% 0.72/1.08 , clause( 15, [ =( multiply( Y, multiply( inverse( Y ), X ) ), X ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 227, [ =( identity, multiply( X, divide( inverse( X ), identity ) )
% 0.72/1.08 ) ] )
% 0.72/1.08 , clause( 7, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 0.72/1.08 , 0, clause( 225, [ =( Y, multiply( X, multiply( inverse( X ), Y ) ) ) ] )
% 0.72/1.08 , 0, 4, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.72/1.08 :=( X, X ), :=( Y, identity )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 228, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 0.72/1.08 , clause( 14, [ =( divide( X, identity ), X ) ] )
% 0.72/1.08 , 0, clause( 227, [ =( identity, multiply( X, divide( inverse( X ),
% 0.72/1.08 identity ) ) ) ] )
% 0.72/1.08 , 0, 4, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.72/1.08 :=( X, X )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 229, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.72/1.08 , clause( 228, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 20, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.72/1.08 , clause( 229, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 231, [ =( Y, multiply( X, multiply( inverse( X ), Y ) ) ) ] )
% 0.72/1.08 , clause( 15, [ =( multiply( Y, multiply( inverse( Y ), X ) ), X ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 234, [ =( inverse( inverse( X ) ), multiply( X, identity ) ) ] )
% 0.72/1.08 , clause( 20, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.72/1.08 , 0, clause( 231, [ =( Y, multiply( X, multiply( inverse( X ), Y ) ) ) ] )
% 0.72/1.08 , 0, 6, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.72/1.08 :=( X, X ), :=( Y, inverse( inverse( X ) ) )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 235, [ =( inverse( inverse( X ) ), divide( X, identity ) ) ] )
% 0.72/1.08 , clause( 7, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 0.72/1.08 , 0, clause( 234, [ =( inverse( inverse( X ) ), multiply( X, identity ) ) ]
% 0.72/1.08 )
% 0.72/1.08 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.72/1.08 ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 236, [ =( inverse( inverse( X ) ), X ) ] )
% 0.72/1.08 , clause( 14, [ =( divide( X, identity ), X ) ] )
% 0.72/1.08 , 0, clause( 235, [ =( inverse( inverse( X ) ), divide( X, identity ) ) ]
% 0.72/1.08 )
% 0.72/1.08 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.72/1.08 ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 21, [ =( inverse( inverse( X ) ), X ) ] )
% 0.72/1.08 , clause( 236, [ =( inverse( inverse( X ) ), X ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 239, [ =( Y, multiply( X, multiply( inverse( X ), Y ) ) ) ] )
% 0.72/1.08 , clause( 15, [ =( multiply( Y, multiply( inverse( Y ), X ) ), X ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 240, [ =( X, multiply( inverse( Y ), multiply( Y, X ) ) ) ] )
% 0.72/1.08 , clause( 21, [ =( inverse( inverse( X ) ), X ) ] )
% 0.72/1.08 , 0, clause( 239, [ =( Y, multiply( X, multiply( inverse( X ), Y ) ) ) ] )
% 0.72/1.08 , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, inverse(
% 0.72/1.08 Y ) ), :=( Y, X )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 241, [ =( multiply( inverse( Y ), multiply( Y, X ) ), X ) ] )
% 0.72/1.08 , clause( 240, [ =( X, multiply( inverse( Y ), multiply( Y, X ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 22, [ =( multiply( inverse( X ), multiply( X, Y ) ), Y ) ] )
% 0.72/1.08 , clause( 241, [ =( multiply( inverse( Y ), multiply( Y, X ) ), X ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.08 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 243, [ =( Y, divide( X, divide( divide( inverse( Y ), Z ), divide(
% 0.72/1.08 inverse( X ), Z ) ) ) ) ] )
% 0.72/1.08 , clause( 10, [ =( divide( X, divide( divide( inverse( Y ), Z ), divide(
% 0.72/1.08 inverse( X ), Z ) ) ), Y ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 244, [ =( inverse( X ), divide( Y, divide( divide( X, Z ), divide(
% 0.72/1.08 inverse( Y ), Z ) ) ) ) ] )
% 0.72/1.08 , clause( 21, [ =( inverse( inverse( X ) ), X ) ] )
% 0.72/1.08 , 0, clause( 243, [ =( Y, divide( X, divide( divide( inverse( Y ), Z ),
% 0.72/1.08 divide( inverse( X ), Z ) ) ) ) ] )
% 0.72/1.08 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 0.72/1.08 :=( Y, inverse( X ) ), :=( Z, Z )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 246, [ =( divide( Y, divide( divide( X, Z ), divide( inverse( Y ),
% 0.72/1.08 Z ) ) ), inverse( X ) ) ] )
% 0.72/1.08 , clause( 244, [ =( inverse( X ), divide( Y, divide( divide( X, Z ), divide(
% 0.72/1.08 inverse( Y ), Z ) ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 23, [ =( divide( Y, divide( divide( X, Z ), divide( inverse( Y ), Z
% 0.72/1.08 ) ) ), inverse( X ) ) ] )
% 0.72/1.08 , clause( 246, [ =( divide( Y, divide( divide( X, Z ), divide( inverse( Y )
% 0.72/1.08 , Z ) ) ), inverse( X ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 249, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.72/1.08 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 250, [ =( multiply( X, inverse( Y ) ), divide( X, Y ) ) ] )
% 0.72/1.08 , clause( 21, [ =( inverse( inverse( X ) ), X ) ] )
% 0.72/1.08 , 0, clause( 249, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.72/1.08 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.72/1.08 :=( Y, inverse( Y ) )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 25, [ =( multiply( Y, inverse( X ) ), divide( Y, X ) ) ] )
% 0.72/1.08 , clause( 250, [ =( multiply( X, inverse( Y ) ), divide( X, Y ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.08 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 253, [ =( Y, divide( X, multiply( inverse( Y ), X ) ) ) ] )
% 0.72/1.08 , clause( 16, [ =( divide( X, multiply( inverse( Y ), X ) ), Y ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 254, [ =( X, divide( multiply( X, Y ), Y ) ) ] )
% 0.72/1.08 , clause( 22, [ =( multiply( inverse( X ), multiply( X, Y ) ), Y ) ] )
% 0.72/1.08 , 0, clause( 253, [ =( Y, divide( X, multiply( inverse( Y ), X ) ) ) ] )
% 0.72/1.08 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.08 :=( X, multiply( X, Y ) ), :=( Y, X )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 255, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 0.72/1.08 , clause( 254, [ =( X, divide( multiply( X, Y ), Y ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 34, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 0.72/1.08 , clause( 255, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.08 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 257, [ =( Y, divide( X, multiply( inverse( Y ), X ) ) ) ] )
% 0.72/1.08 , clause( 16, [ =( divide( X, multiply( inverse( Y ), X ) ), Y ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 258, [ =( inverse( X ), divide( Y, multiply( X, Y ) ) ) ] )
% 0.72/1.08 , clause( 21, [ =( inverse( inverse( X ) ), X ) ] )
% 0.72/1.08 , 0, clause( 257, [ =( Y, divide( X, multiply( inverse( Y ), X ) ) ) ] )
% 0.72/1.08 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 0.72/1.08 :=( Y, inverse( X ) )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 259, [ =( divide( Y, multiply( X, Y ) ), inverse( X ) ) ] )
% 0.72/1.08 , clause( 258, [ =( inverse( X ), divide( Y, multiply( X, Y ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 35, [ =( divide( Y, multiply( X, Y ) ), inverse( X ) ) ] )
% 0.72/1.08 , clause( 259, [ =( divide( Y, multiply( X, Y ) ), inverse( X ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.08 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 261, [ =( X, divide( multiply( X, Y ), Y ) ) ] )
% 0.72/1.08 , clause( 34, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 264, [ =( X, divide( divide( X, Y ), inverse( Y ) ) ) ] )
% 0.72/1.08 , clause( 25, [ =( multiply( Y, inverse( X ) ), divide( Y, X ) ) ] )
% 0.72/1.08 , 0, clause( 261, [ =( X, divide( multiply( X, Y ), Y ) ) ] )
% 0.72/1.08 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.72/1.08 :=( X, X ), :=( Y, inverse( Y ) )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 265, [ =( X, multiply( divide( X, Y ), Y ) ) ] )
% 0.72/1.08 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.72/1.08 , 0, clause( 264, [ =( X, divide( divide( X, Y ), inverse( Y ) ) ) ] )
% 0.72/1.08 , 0, 2, substitution( 0, [ :=( X, divide( X, Y ) ), :=( Y, Y )] ),
% 0.72/1.08 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 266, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 0.72/1.08 , clause( 265, [ =( X, multiply( divide( X, Y ), Y ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 38, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 0.72/1.08 , clause( 266, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.08 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 268, [ =( inverse( Y ), divide( X, multiply( Y, X ) ) ) ] )
% 0.72/1.08 , clause( 35, [ =( divide( Y, multiply( X, Y ) ), inverse( X ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 271, [ =( inverse( divide( X, Y ) ), divide( Y, X ) ) ] )
% 0.72/1.08 , clause( 38, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 0.72/1.08 , 0, clause( 268, [ =( inverse( Y ), divide( X, multiply( Y, X ) ) ) ] )
% 0.72/1.08 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.08 :=( X, Y ), :=( Y, divide( X, Y ) )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 42, [ =( inverse( divide( X, Y ) ), divide( Y, X ) ) ] )
% 0.72/1.08 , clause( 271, [ =( inverse( divide( X, Y ) ), divide( Y, X ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.08 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 274, [ =( divide( Y, X ), inverse( divide( X, Y ) ) ) ] )
% 0.72/1.08 , clause( 42, [ =( inverse( divide( X, Y ) ), divide( Y, X ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 278, [ =( divide( inverse( X ), Y ), inverse( multiply( Y, X ) ) )
% 0.72/1.08 ] )
% 0.72/1.08 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.72/1.08 , 0, clause( 274, [ =( divide( Y, X ), inverse( divide( X, Y ) ) ) ] )
% 0.72/1.08 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.72/1.08 :=( X, Y ), :=( Y, inverse( X ) )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 52, [ =( divide( inverse( Y ), X ), inverse( multiply( X, Y ) ) ) ]
% 0.72/1.08 )
% 0.72/1.08 , clause( 278, [ =( divide( inverse( X ), Y ), inverse( multiply( Y, X ) )
% 0.72/1.08 ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.08 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 285, [ ~( =( a2, a2 ) ), ~( =( multiply( a3, multiply( b3, c3 ) ),
% 0.72/1.08 multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 0.72/1.08 , clause( 21, [ =( inverse( inverse( X ) ), X ) ] )
% 0.72/1.08 , 0, clause( 17, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 0.72/1.08 multiply( a3, b3 ), c3 ) ) ), ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.72/1.08 , 1, 2, substitution( 0, [ :=( X, a2 )] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqrefl(
% 0.72/1.08 clause( 286, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.72/1.08 a3, b3 ), c3 ) ) ) ] )
% 0.72/1.08 , clause( 285, [ ~( =( a2, a2 ) ), ~( =( multiply( a3, multiply( b3, c3 ) )
% 0.72/1.08 , multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 59, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.72/1.08 a3, b3 ), c3 ) ) ) ] )
% 0.72/1.08 , clause( 286, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 0.72/1.08 multiply( a3, b3 ), c3 ) ) ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 291, [ =( divide( X, divide( divide( Y, Z ), inverse( multiply( Z,
% 0.72/1.08 X ) ) ) ), inverse( Y ) ) ] )
% 0.72/1.08 , clause( 52, [ =( divide( inverse( Y ), X ), inverse( multiply( X, Y ) ) )
% 0.72/1.08 ] )
% 0.72/1.08 , 0, clause( 23, [ =( divide( Y, divide( divide( X, Z ), divide( inverse( Y
% 0.72/1.08 ), Z ) ) ), inverse( X ) ) ] )
% 0.72/1.08 , 0, 7, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 0.72/1.08 :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 292, [ =( divide( X, multiply( divide( Y, Z ), multiply( Z, X ) ) )
% 0.72/1.08 , inverse( Y ) ) ] )
% 0.72/1.08 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.72/1.08 , 0, clause( 291, [ =( divide( X, divide( divide( Y, Z ), inverse( multiply(
% 0.72/1.08 Z, X ) ) ) ), inverse( Y ) ) ] )
% 0.72/1.08 , 0, 3, substitution( 0, [ :=( X, divide( Y, Z ) ), :=( Y, multiply( Z, X )
% 0.72/1.08 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 62, [ =( divide( Y, multiply( divide( X, Z ), multiply( Z, Y ) ) )
% 0.72/1.08 , inverse( X ) ) ] )
% 0.72/1.08 , clause( 292, [ =( divide( X, multiply( divide( Y, Z ), multiply( Z, X ) )
% 0.72/1.08 ), inverse( Y ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.72/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 295, [ =( divide( Y, X ), inverse( divide( X, Y ) ) ) ] )
% 0.72/1.08 , clause( 42, [ =( inverse( divide( X, Y ) ), divide( Y, X ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 299, [ =( divide( multiply( divide( X, Y ), multiply( Y, Z ) ), Z )
% 0.72/1.08 , inverse( inverse( X ) ) ) ] )
% 0.72/1.08 , clause( 62, [ =( divide( Y, multiply( divide( X, Z ), multiply( Z, Y ) )
% 0.72/1.08 ), inverse( X ) ) ] )
% 0.72/1.08 , 0, clause( 295, [ =( divide( Y, X ), inverse( divide( X, Y ) ) ) ] )
% 0.72/1.08 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.72/1.08 substitution( 1, [ :=( X, Z ), :=( Y, multiply( divide( X, Y ), multiply(
% 0.72/1.08 Y, Z ) ) )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 300, [ =( divide( multiply( divide( X, Y ), multiply( Y, Z ) ), Z )
% 0.72/1.08 , X ) ] )
% 0.72/1.08 , clause( 21, [ =( inverse( inverse( X ) ), X ) ] )
% 0.72/1.08 , 0, clause( 299, [ =( divide( multiply( divide( X, Y ), multiply( Y, Z ) )
% 0.72/1.08 , Z ), inverse( inverse( X ) ) ) ] )
% 0.72/1.08 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.72/1.08 :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 80, [ =( divide( multiply( divide( Y, Z ), multiply( Z, X ) ), X )
% 0.72/1.08 , Y ) ] )
% 0.72/1.08 , clause( 300, [ =( divide( multiply( divide( X, Y ), multiply( Y, Z ) ), Z
% 0.72/1.08 ), X ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.72/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 303, [ =( X, multiply( divide( X, Y ), Y ) ) ] )
% 0.72/1.08 , clause( 38, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 306, [ =( multiply( divide( X, Y ), multiply( Y, Z ) ), multiply( X
% 0.72/1.08 , Z ) ) ] )
% 0.72/1.08 , clause( 80, [ =( divide( multiply( divide( Y, Z ), multiply( Z, X ) ), X
% 0.72/1.08 ), Y ) ] )
% 0.72/1.08 , 0, clause( 303, [ =( X, multiply( divide( X, Y ), Y ) ) ] )
% 0.72/1.08 , 0, 9, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.72/1.08 substitution( 1, [ :=( X, multiply( divide( X, Y ), multiply( Y, Z ) ) )
% 0.72/1.08 , :=( Y, Z )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 108, [ =( multiply( divide( X, Y ), multiply( Y, Z ) ), multiply( X
% 0.72/1.08 , Z ) ) ] )
% 0.72/1.08 , clause( 306, [ =( multiply( divide( X, Y ), multiply( Y, Z ) ), multiply(
% 0.72/1.08 X, Z ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 309, [ =( multiply( X, Z ), multiply( divide( X, Y ), multiply( Y,
% 0.72/1.08 Z ) ) ) ] )
% 0.72/1.08 , clause( 108, [ =( multiply( divide( X, Y ), multiply( Y, Z ) ), multiply(
% 0.72/1.08 X, Z ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 313, [ =( multiply( multiply( divide( X, Y ), multiply( Y, Z ) ), T
% 0.72/1.08 ), multiply( X, multiply( Z, T ) ) ) ] )
% 0.72/1.08 , clause( 80, [ =( divide( multiply( divide( Y, Z ), multiply( Z, X ) ), X
% 0.72/1.08 ), Y ) ] )
% 0.72/1.08 , 0, clause( 309, [ =( multiply( X, Z ), multiply( divide( X, Y ), multiply(
% 0.72/1.08 Y, Z ) ) ) ] )
% 0.72/1.08 , 0, 11, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.72/1.08 substitution( 1, [ :=( X, multiply( divide( X, Y ), multiply( Y, Z ) ) )
% 0.72/1.08 , :=( Y, Z ), :=( Z, T )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 314, [ =( multiply( multiply( X, Z ), T ), multiply( X, multiply( Z
% 0.72/1.08 , T ) ) ) ] )
% 0.72/1.08 , clause( 108, [ =( multiply( divide( X, Y ), multiply( Y, Z ) ), multiply(
% 0.72/1.08 X, Z ) ) ] )
% 0.72/1.08 , 0, clause( 313, [ =( multiply( multiply( divide( X, Y ), multiply( Y, Z )
% 0.72/1.08 ), T ), multiply( X, multiply( Z, T ) ) ) ] )
% 0.72/1.08 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.08 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 315, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.72/1.08 ), Z ) ) ] )
% 0.72/1.08 , clause( 314, [ =( multiply( multiply( X, Z ), T ), multiply( X, multiply(
% 0.72/1.08 Z, T ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Y ), :=( T, Z )] )
% 0.72/1.08 ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 114, [ =( multiply( X, multiply( Z, T ) ), multiply( multiply( X, Z
% 0.72/1.08 ), T ) ) ] )
% 0.72/1.08 , clause( 315, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 0.72/1.08 , Y ), Z ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T )] ),
% 0.72/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 316, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y
% 0.72/1.08 , Z ) ) ) ] )
% 0.72/1.08 , clause( 114, [ =( multiply( X, multiply( Z, T ) ), multiply( multiply( X
% 0.72/1.08 , Z ), T ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Y ), :=( T, Z )] )
% 0.72/1.08 ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 317, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3,
% 0.72/1.08 multiply( b3, c3 ) ) ) ) ] )
% 0.72/1.08 , clause( 59, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 0.72/1.08 multiply( a3, b3 ), c3 ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 318, [] )
% 0.72/1.08 , clause( 317, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3,
% 0.72/1.08 multiply( b3, c3 ) ) ) ) ] )
% 0.72/1.08 , 0, clause( 316, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.72/1.08 multiply( Y, Z ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a3 ), :=( Y, b3 ),
% 0.72/1.08 :=( Z, c3 )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 119, [] )
% 0.72/1.08 , clause( 318, [] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 end.
% 0.72/1.08
% 0.72/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.08
% 0.72/1.08 Memory use:
% 0.72/1.08
% 0.72/1.08 space for terms: 1574
% 0.72/1.08 space for clauses: 15358
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 clauses generated: 621
% 0.72/1.08 clauses kept: 120
% 0.72/1.08 clauses selected: 33
% 0.72/1.08 clauses deleted: 16
% 0.72/1.08 clauses inuse deleted: 0
% 0.72/1.08
% 0.72/1.08 subsentry: 763
% 0.72/1.08 literals s-matched: 210
% 0.72/1.08 literals matched: 209
% 0.72/1.08 full subsumption: 0
% 0.72/1.08
% 0.72/1.08 checksum: 251102904
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Bliksem ended
%------------------------------------------------------------------------------