TSTP Solution File: GRP538-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP538-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 07:37:31 EDT 2022
% Result : Unsatisfiable 0.72s 1.09s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP538-1 : TPTP v8.1.0. Released v2.6.0.
% 0.13/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Mon Jun 13 14:44:24 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.72/1.08 *** allocated 10000 integers for termspace/termends
% 0.72/1.08 *** allocated 10000 integers for clauses
% 0.72/1.08 *** allocated 10000 integers for justifications
% 0.72/1.08 Bliksem 1.12
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Automatic Strategy Selection
% 0.72/1.08
% 0.72/1.08 Clauses:
% 0.72/1.08 [
% 0.72/1.08 [ =( divide( divide( X, Y ), divide( divide( X, Z ), Y ) ), Z ) ],
% 0.72/1.08 [ =( multiply( X, Y ), divide( X, divide( divide( Z, Z ), Y ) ) ) ],
% 0.72/1.08 [ =( inverse( X ), divide( divide( Y, Y ), X ) ) ],
% 0.72/1.08 [ =( identity, divide( X, X ) ) ],
% 0.72/1.08 [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ) ]
% 0.72/1.08 ] .
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 percentage equality = 1.000000, percentage horn = 1.000000
% 0.72/1.08 This is a pure equality problem
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Options Used:
% 0.72/1.08
% 0.72/1.08 useres = 1
% 0.72/1.08 useparamod = 1
% 0.72/1.08 useeqrefl = 1
% 0.72/1.08 useeqfact = 1
% 0.72/1.08 usefactor = 1
% 0.72/1.08 usesimpsplitting = 0
% 0.72/1.08 usesimpdemod = 5
% 0.72/1.08 usesimpres = 3
% 0.72/1.08
% 0.72/1.08 resimpinuse = 1000
% 0.72/1.08 resimpclauses = 20000
% 0.72/1.08 substype = eqrewr
% 0.72/1.08 backwardsubs = 1
% 0.72/1.08 selectoldest = 5
% 0.72/1.08
% 0.72/1.08 litorderings [0] = split
% 0.72/1.08 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.08
% 0.72/1.08 termordering = kbo
% 0.72/1.09
% 0.72/1.09 litapriori = 0
% 0.72/1.09 termapriori = 1
% 0.72/1.09 litaposteriori = 0
% 0.72/1.09 termaposteriori = 0
% 0.72/1.09 demodaposteriori = 0
% 0.72/1.09 ordereqreflfact = 0
% 0.72/1.09
% 0.72/1.09 litselect = negord
% 0.72/1.09
% 0.72/1.09 maxweight = 15
% 0.72/1.09 maxdepth = 30000
% 0.72/1.09 maxlength = 115
% 0.72/1.09 maxnrvars = 195
% 0.72/1.09 excuselevel = 1
% 0.72/1.09 increasemaxweight = 1
% 0.72/1.09
% 0.72/1.09 maxselected = 10000000
% 0.72/1.09 maxnrclauses = 10000000
% 0.72/1.09
% 0.72/1.09 showgenerated = 0
% 0.72/1.09 showkept = 0
% 0.72/1.09 showselected = 0
% 0.72/1.09 showdeleted = 0
% 0.72/1.09 showresimp = 1
% 0.72/1.09 showstatus = 2000
% 0.72/1.09
% 0.72/1.09 prologoutput = 1
% 0.72/1.09 nrgoals = 5000000
% 0.72/1.09 totalproof = 1
% 0.72/1.09
% 0.72/1.09 Symbols occurring in the translation:
% 0.72/1.09
% 0.72/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.09 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.72/1.09 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.72/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.09 divide [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.72/1.09 multiply [43, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.72/1.09 inverse [44, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.72/1.09 identity [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.72/1.09 b2 [46, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.72/1.09 a2 [47, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Starting Search:
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Bliksems!, er is een bewijs:
% 0.72/1.09 % SZS status Unsatisfiable
% 0.72/1.09 % SZS output start Refutation
% 0.72/1.09
% 0.72/1.09 clause( 0, [ =( divide( divide( X, Y ), divide( divide( X, Z ), Y ) ), Z )
% 0.72/1.09 ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 1, [ =( divide( X, divide( divide( Z, Z ), Y ) ), multiply( X, Y )
% 0.72/1.09 ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 2, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 4, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ) ]
% 0.72/1.09 )
% 0.72/1.09 .
% 0.72/1.09 clause( 5, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 6, [ =( inverse( identity ), identity ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 7, [ =( divide( Z, divide( divide( divide( X, Y ), T ), divide(
% 0.72/1.09 divide( X, Z ), Y ) ) ), T ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 8, [ =( divide( divide( X, divide( divide( X, Z ), Y ) ), Z ), Y )
% 0.72/1.09 ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 13, [ =( divide( divide( X, Y ), inverse( Y ) ), X ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 18, [ =( divide( divide( X, identity ), identity ), X ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 19, [ =( inverse( inverse( X ) ), X ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 22, [ =( divide( divide( X, identity ), X ), identity ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 24, [ =( divide( X, identity ), X ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 25, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 26, [ =( multiply( X, identity ), X ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 27, [ =( divide( X, divide( X, Y ) ), Y ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 28, [ =( multiply( Y, divide( X, Y ) ), X ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 35, [ =( divide( divide( divide( Y, Z ), T ), divide( divide( Y, X
% 0.72/1.09 ), Z ) ), divide( X, T ) ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 42, [ =( multiply( divide( X, T ), T ), X ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 43, [ =( multiply( inverse( Y ), X ), divide( X, Y ) ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 49, [ =( divide( X, divide( divide( X, Y ), Z ) ), multiply( Z, Y )
% 0.72/1.09 ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 50, [ =( multiply( Y, Z ), multiply( Z, Y ) ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 54, [] )
% 0.72/1.09 .
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 % SZS output end Refutation
% 0.72/1.09 found a proof!
% 0.72/1.09
% 0.72/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.09
% 0.72/1.09 initialclauses(
% 0.72/1.09 [ clause( 56, [ =( divide( divide( X, Y ), divide( divide( X, Z ), Y ) ), Z
% 0.72/1.09 ) ] )
% 0.72/1.09 , clause( 57, [ =( multiply( X, Y ), divide( X, divide( divide( Z, Z ), Y )
% 0.72/1.09 ) ) ] )
% 0.72/1.09 , clause( 58, [ =( inverse( X ), divide( divide( Y, Y ), X ) ) ] )
% 0.72/1.09 , clause( 59, [ =( identity, divide( X, X ) ) ] )
% 0.72/1.09 , clause( 60, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) )
% 0.72/1.09 ] )
% 0.72/1.09 ] ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 0, [ =( divide( divide( X, Y ), divide( divide( X, Z ), Y ) ), Z )
% 0.72/1.09 ] )
% 0.72/1.09 , clause( 56, [ =( divide( divide( X, Y ), divide( divide( X, Z ), Y ) ), Z
% 0.72/1.09 ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 63, [ =( divide( X, divide( divide( Z, Z ), Y ) ), multiply( X, Y )
% 0.72/1.09 ) ] )
% 0.72/1.09 , clause( 57, [ =( multiply( X, Y ), divide( X, divide( divide( Z, Z ), Y )
% 0.72/1.09 ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 1, [ =( divide( X, divide( divide( Z, Z ), Y ) ), multiply( X, Y )
% 0.72/1.09 ) ] )
% 0.72/1.09 , clause( 63, [ =( divide( X, divide( divide( Z, Z ), Y ) ), multiply( X, Y
% 0.72/1.09 ) ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 66, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.72/1.09 , clause( 58, [ =( inverse( X ), divide( divide( Y, Y ), X ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 2, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.72/1.09 , clause( 66, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.09 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 70, [ =( divide( X, X ), identity ) ] )
% 0.72/1.09 , clause( 59, [ =( identity, divide( X, X ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.72/1.09 , clause( 70, [ =( divide( X, X ), identity ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 4, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ) ]
% 0.72/1.09 )
% 0.72/1.09 , clause( 60, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) )
% 0.72/1.09 ] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 78, [ =( divide( identity, Y ), inverse( Y ) ) ] )
% 0.72/1.09 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.72/1.09 , 0, clause( 2, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.72/1.09 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 0.72/1.09 :=( Y, X )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 5, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.72/1.09 , clause( 78, [ =( divide( identity, Y ), inverse( Y ) ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.09 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 80, [ =( inverse( X ), divide( identity, X ) ) ] )
% 0.72/1.09 , clause( 5, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 82, [ =( inverse( identity ), identity ) ] )
% 0.72/1.09 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.72/1.09 , 0, clause( 80, [ =( inverse( X ), divide( identity, X ) ) ] )
% 0.72/1.09 , 0, 3, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.72/1.09 identity )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 6, [ =( inverse( identity ), identity ) ] )
% 0.72/1.09 , clause( 82, [ =( inverse( identity ), identity ) ] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 84, [ =( Z, divide( divide( X, Y ), divide( divide( X, Z ), Y ) ) )
% 0.72/1.09 ] )
% 0.72/1.09 , clause( 0, [ =( divide( divide( X, Y ), divide( divide( X, Z ), Y ) ), Z
% 0.72/1.09 ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 87, [ =( X, divide( T, divide( divide( divide( Y, Z ), X ), divide(
% 0.72/1.09 divide( Y, T ), Z ) ) ) ) ] )
% 0.72/1.09 , clause( 0, [ =( divide( divide( X, Y ), divide( divide( X, Z ), Y ) ), Z
% 0.72/1.09 ) ] )
% 0.72/1.09 , 0, clause( 84, [ =( Z, divide( divide( X, Y ), divide( divide( X, Z ), Y
% 0.72/1.09 ) ) ) ] )
% 0.72/1.09 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T )] ),
% 0.72/1.09 substitution( 1, [ :=( X, divide( Y, Z ) ), :=( Y, divide( divide( Y, T )
% 0.72/1.09 , Z ) ), :=( Z, X )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 90, [ =( divide( Y, divide( divide( divide( Z, T ), X ), divide(
% 0.72/1.09 divide( Z, Y ), T ) ) ), X ) ] )
% 0.72/1.09 , clause( 87, [ =( X, divide( T, divide( divide( divide( Y, Z ), X ),
% 0.72/1.09 divide( divide( Y, T ), Z ) ) ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 0.72/1.09 ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 7, [ =( divide( Z, divide( divide( divide( X, Y ), T ), divide(
% 0.72/1.09 divide( X, Z ), Y ) ) ), T ) ] )
% 0.72/1.09 , clause( 90, [ =( divide( Y, divide( divide( divide( Z, T ), X ), divide(
% 0.72/1.09 divide( Z, Y ), T ) ) ), X ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, X ), :=( T, Y )] ),
% 0.72/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 93, [ =( Z, divide( divide( X, Y ), divide( divide( X, Z ), Y ) ) )
% 0.72/1.09 ] )
% 0.72/1.09 , clause( 0, [ =( divide( divide( X, Y ), divide( divide( X, Z ), Y ) ), Z
% 0.72/1.09 ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 97, [ =( X, divide( divide( Y, divide( divide( Y, Z ), X ) ), Z ) )
% 0.72/1.09 ] )
% 0.72/1.09 , clause( 0, [ =( divide( divide( X, Y ), divide( divide( X, Z ), Y ) ), Z
% 0.72/1.09 ) ] )
% 0.72/1.09 , 0, clause( 93, [ =( Z, divide( divide( X, Y ), divide( divide( X, Z ), Y
% 0.72/1.09 ) ) ) ] )
% 0.72/1.09 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.72/1.09 substitution( 1, [ :=( X, Y ), :=( Y, divide( divide( Y, Z ), X ) ), :=(
% 0.72/1.09 Z, X )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 100, [ =( divide( divide( Y, divide( divide( Y, Z ), X ) ), Z ), X
% 0.72/1.09 ) ] )
% 0.72/1.09 , clause( 97, [ =( X, divide( divide( Y, divide( divide( Y, Z ), X ) ), Z )
% 0.72/1.09 ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 8, [ =( divide( divide( X, divide( divide( X, Z ), Y ) ), Z ), Y )
% 0.72/1.09 ] )
% 0.72/1.09 , clause( 100, [ =( divide( divide( Y, divide( divide( Y, Z ), X ) ), Z ),
% 0.72/1.09 X ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.72/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 103, [ =( Z, divide( divide( X, Y ), divide( divide( X, Z ), Y ) )
% 0.72/1.09 ) ] )
% 0.72/1.09 , clause( 0, [ =( divide( divide( X, Y ), divide( divide( X, Z ), Y ) ), Z
% 0.72/1.09 ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 107, [ =( X, divide( divide( X, Y ), divide( identity, Y ) ) ) ] )
% 0.72/1.09 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.72/1.09 , 0, clause( 103, [ =( Z, divide( divide( X, Y ), divide( divide( X, Z ), Y
% 0.72/1.09 ) ) ) ] )
% 0.72/1.09 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.72/1.09 :=( Y, Y ), :=( Z, X )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 108, [ =( X, divide( divide( X, Y ), inverse( Y ) ) ) ] )
% 0.72/1.09 , clause( 5, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.72/1.09 , 0, clause( 107, [ =( X, divide( divide( X, Y ), divide( identity, Y ) ) )
% 0.72/1.09 ] )
% 0.72/1.09 , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.72/1.09 :=( Y, Y )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 109, [ =( divide( divide( X, Y ), inverse( Y ) ), X ) ] )
% 0.72/1.09 , clause( 108, [ =( X, divide( divide( X, Y ), inverse( Y ) ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 13, [ =( divide( divide( X, Y ), inverse( Y ) ), X ) ] )
% 0.72/1.09 , clause( 109, [ =( divide( divide( X, Y ), inverse( Y ) ), X ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.09 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 111, [ =( X, divide( divide( X, Y ), inverse( Y ) ) ) ] )
% 0.72/1.09 , clause( 13, [ =( divide( divide( X, Y ), inverse( Y ) ), X ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 112, [ =( X, divide( divide( X, identity ), identity ) ) ] )
% 0.72/1.09 , clause( 6, [ =( inverse( identity ), identity ) ] )
% 0.72/1.09 , 0, clause( 111, [ =( X, divide( divide( X, Y ), inverse( Y ) ) ) ] )
% 0.72/1.09 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 0.72/1.09 identity )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 113, [ =( divide( divide( X, identity ), identity ), X ) ] )
% 0.72/1.09 , clause( 112, [ =( X, divide( divide( X, identity ), identity ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 18, [ =( divide( divide( X, identity ), identity ), X ) ] )
% 0.72/1.09 , clause( 113, [ =( divide( divide( X, identity ), identity ), X ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 115, [ =( X, divide( divide( X, Y ), inverse( Y ) ) ) ] )
% 0.72/1.09 , clause( 13, [ =( divide( divide( X, Y ), inverse( Y ) ), X ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 117, [ =( X, divide( identity, inverse( X ) ) ) ] )
% 0.72/1.09 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.72/1.09 , 0, clause( 115, [ =( X, divide( divide( X, Y ), inverse( Y ) ) ) ] )
% 0.72/1.09 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.72/1.09 :=( Y, X )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 118, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.72/1.09 , clause( 5, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.72/1.09 , 0, clause( 117, [ =( X, divide( identity, inverse( X ) ) ) ] )
% 0.72/1.09 , 0, 2, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.72/1.09 :=( X, X )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 119, [ =( inverse( inverse( X ) ), X ) ] )
% 0.72/1.09 , clause( 118, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 19, [ =( inverse( inverse( X ) ), X ) ] )
% 0.72/1.09 , clause( 119, [ =( inverse( inverse( X ) ), X ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 121, [ =( Z, divide( divide( X, Y ), divide( divide( X, Z ), Y ) )
% 0.72/1.09 ) ] )
% 0.72/1.09 , clause( 0, [ =( divide( divide( X, Y ), divide( divide( X, Z ), Y ) ), Z
% 0.72/1.09 ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 123, [ =( identity, divide( divide( X, identity ), X ) ) ] )
% 0.72/1.09 , clause( 18, [ =( divide( divide( X, identity ), identity ), X ) ] )
% 0.72/1.09 , 0, clause( 121, [ =( Z, divide( divide( X, Y ), divide( divide( X, Z ), Y
% 0.72/1.09 ) ) ) ] )
% 0.72/1.09 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.72/1.09 :=( Y, identity ), :=( Z, identity )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 126, [ =( divide( divide( X, identity ), X ), identity ) ] )
% 0.72/1.09 , clause( 123, [ =( identity, divide( divide( X, identity ), X ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 22, [ =( divide( divide( X, identity ), X ), identity ) ] )
% 0.72/1.09 , clause( 126, [ =( divide( divide( X, identity ), X ), identity ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 129, [ =( X, divide( divide( X, Y ), inverse( Y ) ) ) ] )
% 0.72/1.09 , clause( 13, [ =( divide( divide( X, Y ), inverse( Y ) ), X ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 134, [ =( divide( X, identity ), divide( identity, inverse( X ) ) )
% 0.72/1.09 ] )
% 0.72/1.09 , clause( 22, [ =( divide( divide( X, identity ), X ), identity ) ] )
% 0.72/1.09 , 0, clause( 129, [ =( X, divide( divide( X, Y ), inverse( Y ) ) ) ] )
% 0.72/1.09 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, divide(
% 0.72/1.09 X, identity ) ), :=( Y, X )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 135, [ =( divide( X, identity ), inverse( inverse( X ) ) ) ] )
% 0.72/1.09 , clause( 5, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.72/1.09 , 0, clause( 134, [ =( divide( X, identity ), divide( identity, inverse( X
% 0.72/1.09 ) ) ) ] )
% 0.72/1.09 , 0, 4, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.72/1.09 :=( X, X )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 136, [ =( divide( X, identity ), X ) ] )
% 0.72/1.09 , clause( 19, [ =( inverse( inverse( X ) ), X ) ] )
% 0.72/1.09 , 0, clause( 135, [ =( divide( X, identity ), inverse( inverse( X ) ) ) ]
% 0.72/1.09 )
% 0.72/1.09 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.72/1.09 ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 24, [ =( divide( X, identity ), X ) ] )
% 0.72/1.09 , clause( 136, [ =( divide( X, identity ), X ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 141, [ =( divide( X, divide( identity, Z ) ), multiply( X, Z ) ) ]
% 0.72/1.09 )
% 0.72/1.09 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.72/1.09 , 0, clause( 1, [ =( divide( X, divide( divide( Z, Z ), Y ) ), multiply( X
% 0.72/1.09 , Y ) ) ] )
% 0.72/1.09 , 0, 4, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.72/1.09 :=( Y, Z ), :=( Z, Y )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 142, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.72/1.09 , clause( 5, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.72/1.09 , 0, clause( 141, [ =( divide( X, divide( identity, Z ) ), multiply( X, Z )
% 0.72/1.09 ) ] )
% 0.72/1.09 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.72/1.09 :=( Y, Z ), :=( Z, Y )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 25, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.72/1.09 , clause( 142, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.09 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 145, [ =( X, divide( divide( X, Y ), inverse( Y ) ) ) ] )
% 0.72/1.09 , clause( 13, [ =( divide( divide( X, Y ), inverse( Y ) ), X ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 147, [ =( X, divide( X, inverse( identity ) ) ) ] )
% 0.72/1.09 , clause( 24, [ =( divide( X, identity ), X ) ] )
% 0.72/1.09 , 0, clause( 145, [ =( X, divide( divide( X, Y ), inverse( Y ) ) ) ] )
% 0.72/1.09 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.72/1.09 :=( Y, identity )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 148, [ =( X, multiply( X, identity ) ) ] )
% 0.72/1.09 , clause( 25, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.72/1.09 , 0, clause( 147, [ =( X, divide( X, inverse( identity ) ) ) ] )
% 0.72/1.09 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 0.72/1.09 1, [ :=( X, X )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 149, [ =( multiply( X, identity ), X ) ] )
% 0.72/1.09 , clause( 148, [ =( X, multiply( X, identity ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 26, [ =( multiply( X, identity ), X ) ] )
% 0.72/1.09 , clause( 149, [ =( multiply( X, identity ), X ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 151, [ =( Z, divide( divide( X, Y ), divide( divide( X, Z ), Y ) )
% 0.72/1.09 ) ] )
% 0.72/1.09 , clause( 0, [ =( divide( divide( X, Y ), divide( divide( X, Z ), Y ) ), Z
% 0.72/1.09 ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 154, [ =( X, divide( divide( Y, identity ), divide( Y, X ) ) ) ] )
% 0.72/1.09 , clause( 24, [ =( divide( X, identity ), X ) ] )
% 0.72/1.09 , 0, clause( 151, [ =( Z, divide( divide( X, Y ), divide( divide( X, Z ), Y
% 0.72/1.09 ) ) ) ] )
% 0.72/1.09 , 0, 6, substitution( 0, [ :=( X, divide( Y, X ) )] ), substitution( 1, [
% 0.72/1.09 :=( X, Y ), :=( Y, identity ), :=( Z, X )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 157, [ =( X, divide( Y, divide( Y, X ) ) ) ] )
% 0.72/1.09 , clause( 24, [ =( divide( X, identity ), X ) ] )
% 0.72/1.09 , 0, clause( 154, [ =( X, divide( divide( Y, identity ), divide( Y, X ) ) )
% 0.72/1.09 ] )
% 0.72/1.09 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.72/1.09 :=( Y, Y )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 158, [ =( divide( Y, divide( Y, X ) ), X ) ] )
% 0.72/1.09 , clause( 157, [ =( X, divide( Y, divide( Y, X ) ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 27, [ =( divide( X, divide( X, Y ) ), Y ) ] )
% 0.72/1.09 , clause( 158, [ =( divide( Y, divide( Y, X ) ), X ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.09 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 160, [ =( X, divide( divide( X, Y ), inverse( Y ) ) ) ] )
% 0.72/1.09 , clause( 13, [ =( divide( divide( X, Y ), inverse( Y ) ), X ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 163, [ =( X, divide( Y, inverse( divide( X, Y ) ) ) ) ] )
% 0.72/1.09 , clause( 27, [ =( divide( X, divide( X, Y ) ), Y ) ] )
% 0.72/1.09 , 0, clause( 160, [ =( X, divide( divide( X, Y ), inverse( Y ) ) ) ] )
% 0.72/1.09 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.09 :=( X, X ), :=( Y, divide( X, Y ) )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 164, [ =( X, multiply( Y, divide( X, Y ) ) ) ] )
% 0.72/1.09 , clause( 25, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.72/1.09 , 0, clause( 163, [ =( X, divide( Y, inverse( divide( X, Y ) ) ) ) ] )
% 0.72/1.09 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, divide( X, Y ) )] ),
% 0.72/1.09 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 165, [ =( multiply( Y, divide( X, Y ) ), X ) ] )
% 0.72/1.09 , clause( 164, [ =( X, multiply( Y, divide( X, Y ) ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 28, [ =( multiply( Y, divide( X, Y ) ), X ) ] )
% 0.72/1.09 , clause( 165, [ =( multiply( Y, divide( X, Y ) ), X ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.09 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 167, [ =( Y, divide( X, divide( X, Y ) ) ) ] )
% 0.72/1.09 , clause( 27, [ =( divide( X, divide( X, Y ) ), Y ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 179, [ =( divide( divide( divide( X, Y ), Z ), divide( divide( X, T
% 0.72/1.09 ), Y ) ), divide( T, Z ) ) ] )
% 0.72/1.09 , clause( 7, [ =( divide( Z, divide( divide( divide( X, Y ), T ), divide(
% 0.72/1.09 divide( X, Z ), Y ) ) ), T ) ] )
% 0.72/1.09 , 0, clause( 167, [ =( Y, divide( X, divide( X, Y ) ) ) ] )
% 0.72/1.09 , 0, 14, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] )
% 0.72/1.09 , substitution( 1, [ :=( X, T ), :=( Y, divide( divide( divide( X, Y ), Z
% 0.72/1.09 ), divide( divide( X, T ), Y ) ) )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 35, [ =( divide( divide( divide( Y, Z ), T ), divide( divide( Y, X
% 0.72/1.09 ), Z ) ), divide( X, T ) ) ] )
% 0.72/1.09 , clause( 179, [ =( divide( divide( divide( X, Y ), Z ), divide( divide( X
% 0.72/1.09 , T ), Y ) ), divide( T, Z ) ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, X )] ),
% 0.72/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 183, [ =( Y, multiply( X, divide( Y, X ) ) ) ] )
% 0.72/1.09 , clause( 28, [ =( multiply( Y, divide( X, Y ) ), X ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 185, [ =( X, multiply( divide( divide( divide( Y, Z ), T ), divide(
% 0.72/1.09 divide( Y, X ), Z ) ), T ) ) ] )
% 0.72/1.09 , clause( 7, [ =( divide( Z, divide( divide( divide( X, Y ), T ), divide(
% 0.72/1.09 divide( X, Z ), Y ) ) ), T ) ] )
% 0.72/1.09 , 0, clause( 183, [ =( Y, multiply( X, divide( Y, X ) ) ) ] )
% 0.72/1.09 , 0, 14, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, T )] )
% 0.72/1.09 , substitution( 1, [ :=( X, divide( divide( divide( Y, Z ), T ), divide(
% 0.72/1.09 divide( Y, X ), Z ) ) ), :=( Y, X )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 186, [ =( X, multiply( divide( X, T ), T ) ) ] )
% 0.72/1.09 , clause( 35, [ =( divide( divide( divide( Y, Z ), T ), divide( divide( Y,
% 0.72/1.09 X ), Z ) ), divide( X, T ) ) ] )
% 0.72/1.09 , 0, clause( 185, [ =( X, multiply( divide( divide( divide( Y, Z ), T ),
% 0.72/1.09 divide( divide( Y, X ), Z ) ), T ) ) ] )
% 0.72/1.09 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.72/1.09 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.72/1.09 ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 187, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 0.72/1.09 , clause( 186, [ =( X, multiply( divide( X, T ), T ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 0.72/1.09 ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 42, [ =( multiply( divide( X, T ), T ), X ) ] )
% 0.72/1.09 , clause( 187, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X ), :=( Y, T )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.09 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 189, [ =( Y, multiply( X, divide( Y, X ) ) ) ] )
% 0.72/1.09 , clause( 28, [ =( multiply( Y, divide( X, Y ) ), X ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 190, [ =( divide( X, Y ), multiply( inverse( Y ), X ) ) ] )
% 0.72/1.09 , clause( 13, [ =( divide( divide( X, Y ), inverse( Y ) ), X ) ] )
% 0.72/1.09 , 0, clause( 189, [ =( Y, multiply( X, divide( Y, X ) ) ) ] )
% 0.72/1.09 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.09 :=( X, inverse( Y ) ), :=( Y, divide( X, Y ) )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 191, [ =( multiply( inverse( Y ), X ), divide( X, Y ) ) ] )
% 0.72/1.09 , clause( 190, [ =( divide( X, Y ), multiply( inverse( Y ), X ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 43, [ =( multiply( inverse( Y ), X ), divide( X, Y ) ) ] )
% 0.72/1.09 , clause( 191, [ =( multiply( inverse( Y ), X ), divide( X, Y ) ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.09 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 193, [ =( X, multiply( divide( X, Y ), Y ) ) ] )
% 0.72/1.09 , clause( 42, [ =( multiply( divide( X, T ), T ), X ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 0.72/1.09 ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 194, [ =( divide( X, divide( divide( X, Y ), Z ) ), multiply( Z, Y
% 0.72/1.09 ) ) ] )
% 0.72/1.09 , clause( 8, [ =( divide( divide( X, divide( divide( X, Z ), Y ) ), Z ), Y
% 0.72/1.09 ) ] )
% 0.72/1.09 , 0, clause( 193, [ =( X, multiply( divide( X, Y ), Y ) ) ] )
% 0.72/1.09 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.72/1.09 substitution( 1, [ :=( X, divide( X, divide( divide( X, Y ), Z ) ) ),
% 0.72/1.09 :=( Y, Y )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 49, [ =( divide( X, divide( divide( X, Y ), Z ) ), multiply( Z, Y )
% 0.72/1.09 ) ] )
% 0.72/1.09 , clause( 194, [ =( divide( X, divide( divide( X, Y ), Z ) ), multiply( Z,
% 0.72/1.09 Y ) ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 197, [ =( Y, multiply( X, divide( Y, X ) ) ) ] )
% 0.72/1.09 , clause( 28, [ =( multiply( Y, divide( X, Y ) ), X ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 199, [ =( divide( X, divide( divide( X, Y ), Z ) ), multiply( Y, Z
% 0.72/1.09 ) ) ] )
% 0.72/1.09 , clause( 8, [ =( divide( divide( X, divide( divide( X, Z ), Y ) ), Z ), Y
% 0.72/1.09 ) ] )
% 0.72/1.09 , 0, clause( 197, [ =( Y, multiply( X, divide( Y, X ) ) ) ] )
% 0.72/1.09 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.72/1.09 substitution( 1, [ :=( X, Y ), :=( Y, divide( X, divide( divide( X, Y ),
% 0.72/1.09 Z ) ) )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 200, [ =( multiply( Z, Y ), multiply( Y, Z ) ) ] )
% 0.72/1.09 , clause( 49, [ =( divide( X, divide( divide( X, Y ), Z ) ), multiply( Z, Y
% 0.72/1.09 ) ) ] )
% 0.72/1.09 , 0, clause( 199, [ =( divide( X, divide( divide( X, Y ), Z ) ), multiply(
% 0.72/1.09 Y, Z ) ) ] )
% 0.72/1.09 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.09 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 50, [ =( multiply( Y, Z ), multiply( Z, Y ) ) ] )
% 0.72/1.09 , clause( 200, [ =( multiply( Z, Y ), multiply( Y, Z ) ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, Y )] ),
% 0.72/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 201, [ ~( =( a2, multiply( multiply( inverse( b2 ), b2 ), a2 ) ) )
% 0.72/1.09 ] )
% 0.72/1.09 , clause( 4, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) )
% 0.72/1.09 ] )
% 0.72/1.09 , 0, substitution( 0, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 205, [ ~( =( a2, multiply( a2, multiply( inverse( b2 ), b2 ) ) ) )
% 0.72/1.09 ] )
% 0.72/1.09 , clause( 50, [ =( multiply( Y, Z ), multiply( Z, Y ) ) ] )
% 0.72/1.09 , 0, clause( 201, [ ~( =( a2, multiply( multiply( inverse( b2 ), b2 ), a2 )
% 0.72/1.09 ) ) ] )
% 0.72/1.09 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, multiply( inverse( b2 ), b2 )
% 0.72/1.09 ), :=( Z, a2 )] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 211, [ ~( =( a2, multiply( a2, divide( b2, b2 ) ) ) ) ] )
% 0.72/1.09 , clause( 43, [ =( multiply( inverse( Y ), X ), divide( X, Y ) ) ] )
% 0.72/1.09 , 0, clause( 205, [ ~( =( a2, multiply( a2, multiply( inverse( b2 ), b2 ) )
% 0.72/1.09 ) ) ] )
% 0.72/1.09 , 0, 5, substitution( 0, [ :=( X, b2 ), :=( Y, b2 )] ), substitution( 1, [] )
% 0.72/1.09 ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 212, [ ~( =( a2, multiply( a2, identity ) ) ) ] )
% 0.72/1.09 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.72/1.09 , 0, clause( 211, [ ~( =( a2, multiply( a2, divide( b2, b2 ) ) ) ) ] )
% 0.72/1.09 , 0, 5, substitution( 0, [ :=( X, b2 )] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 213, [ ~( =( a2, a2 ) ) ] )
% 0.72/1.09 , clause( 26, [ =( multiply( X, identity ), X ) ] )
% 0.72/1.09 , 0, clause( 212, [ ~( =( a2, multiply( a2, identity ) ) ) ] )
% 0.72/1.09 , 0, 3, substitution( 0, [ :=( X, a2 )] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqrefl(
% 0.72/1.09 clause( 214, [] )
% 0.72/1.09 , clause( 213, [ ~( =( a2, a2 ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 54, [] )
% 0.72/1.09 , clause( 214, [] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 end.
% 0.72/1.09
% 0.72/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.09
% 0.72/1.09 Memory use:
% 0.72/1.09
% 0.72/1.09 space for terms: 637
% 0.72/1.09 space for clauses: 5706
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 clauses generated: 264
% 0.72/1.09 clauses kept: 55
% 0.72/1.09 clauses selected: 19
% 0.72/1.09 clauses deleted: 3
% 0.72/1.09 clauses inuse deleted: 0
% 0.72/1.09
% 0.72/1.09 subsentry: 489
% 0.72/1.09 literals s-matched: 151
% 0.72/1.09 literals matched: 139
% 0.72/1.09 full subsumption: 0
% 0.72/1.09
% 0.72/1.09 checksum: 1201261020
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Bliksem ended
%------------------------------------------------------------------------------