TSTP Solution File: GRP548-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP548-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.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 07:37:34 EDT 2022
% Result : Unsatisfiable 0.70s 1.09s
% Output : Refutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP548-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.12/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Tue Jun 14 08:46:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.70/1.09 *** allocated 10000 integers for termspace/termends
% 0.70/1.09 *** allocated 10000 integers for clauses
% 0.70/1.09 *** allocated 10000 integers for justifications
% 0.70/1.09 Bliksem 1.12
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Automatic Strategy Selection
% 0.70/1.09
% 0.70/1.09 Clauses:
% 0.70/1.09 [
% 0.70/1.09 [ =( divide( divide( identity, divide( X, Y ) ), divide( divide( Y, Z )
% 0.70/1.09 , X ) ), Z ) ],
% 0.70/1.09 [ =( multiply( X, Y ), divide( X, divide( identity, Y ) ) ) ],
% 0.70/1.09 [ =( inverse( X ), divide( identity, X ) ) ],
% 0.70/1.09 [ =( identity, divide( X, X ) ) ],
% 0.70/1.09 [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ]
% 0.70/1.09 ] .
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 percentage equality = 1.000000, percentage horn = 1.000000
% 0.70/1.09 This is a pure equality problem
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Options Used:
% 0.70/1.09
% 0.70/1.09 useres = 1
% 0.70/1.09 useparamod = 1
% 0.70/1.09 useeqrefl = 1
% 0.70/1.09 useeqfact = 1
% 0.70/1.09 usefactor = 1
% 0.70/1.09 usesimpsplitting = 0
% 0.70/1.09 usesimpdemod = 5
% 0.70/1.09 usesimpres = 3
% 0.70/1.09
% 0.70/1.09 resimpinuse = 1000
% 0.70/1.09 resimpclauses = 20000
% 0.70/1.09 substype = eqrewr
% 0.70/1.09 backwardsubs = 1
% 0.70/1.09 selectoldest = 5
% 0.70/1.09
% 0.70/1.09 litorderings [0] = split
% 0.70/1.09 litorderings [1] = extend the termordering, first sorting on arguments
% 0.70/1.09
% 0.70/1.09 termordering = kbo
% 0.70/1.09
% 0.70/1.09 litapriori = 0
% 0.70/1.09 termapriori = 1
% 0.70/1.09 litaposteriori = 0
% 0.70/1.09 termaposteriori = 0
% 0.70/1.09 demodaposteriori = 0
% 0.70/1.09 ordereqreflfact = 0
% 0.70/1.09
% 0.70/1.09 litselect = negord
% 0.70/1.09
% 0.70/1.09 maxweight = 15
% 0.70/1.09 maxdepth = 30000
% 0.70/1.09 maxlength = 115
% 0.70/1.09 maxnrvars = 195
% 0.70/1.09 excuselevel = 1
% 0.70/1.09 increasemaxweight = 1
% 0.70/1.09
% 0.70/1.09 maxselected = 10000000
% 0.70/1.09 maxnrclauses = 10000000
% 0.70/1.09
% 0.70/1.09 showgenerated = 0
% 0.70/1.09 showkept = 0
% 0.70/1.09 showselected = 0
% 0.70/1.09 showdeleted = 0
% 0.70/1.09 showresimp = 1
% 0.70/1.09 showstatus = 2000
% 0.70/1.09
% 0.70/1.09 prologoutput = 1
% 0.70/1.09 nrgoals = 5000000
% 0.70/1.09 totalproof = 1
% 0.70/1.09
% 0.70/1.09 Symbols occurring in the translation:
% 0.70/1.09
% 0.70/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.70/1.09 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.70/1.09 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.70/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.09 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.70/1.09 divide [42, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.70/1.09 multiply [44, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.70/1.09 inverse [45, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.70/1.09 a [46, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.70/1.09 b [47, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Starting Search:
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Bliksems!, er is een bewijs:
% 0.70/1.09 % SZS status Unsatisfiable
% 0.70/1.09 % SZS output start Refutation
% 0.70/1.09
% 0.70/1.09 clause( 0, [ =( divide( divide( identity, divide( X, Y ) ), divide( divide(
% 0.70/1.09 Y, Z ), X ) ), Z ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 1, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 4, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 5, [ =( inverse( identity ), identity ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 7, [ =( divide( inverse( divide( X, Y ) ), divide( divide( Y, Z ),
% 0.70/1.09 X ) ), Z ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 8, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 11, [ =( divide( inverse( multiply( X, Y ) ), divide( divide(
% 0.70/1.09 inverse( Y ), Z ), X ) ), Z ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 12, [ =( divide( inverse( divide( inverse( Z ), X ) ), multiply(
% 0.70/1.09 divide( X, Y ), Z ) ), Y ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 16, [ =( inverse( divide( divide( X, Y ), X ) ), Y ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 17, [ =( divide( Y, identity ), Y ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 22, [ =( inverse( inverse( X ) ), X ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 29, [ =( divide( divide( X, Y ), X ), inverse( Y ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 31, [ =( multiply( Y, inverse( X ) ), divide( Y, X ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 32, [ =( divide( divide( inverse( Y ), Z ), X ), inverse( multiply(
% 0.70/1.09 Z, multiply( X, Y ) ) ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 36, [ =( multiply( inverse( X ), multiply( Y, X ) ), Y ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 41, [ =( multiply( X, divide( Y, X ) ), Y ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 47, [ =( divide( multiply( X, Y ), X ), Y ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 61, [ =( divide( X, divide( X, Y ) ), Y ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 66, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 76, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 81, [] )
% 0.70/1.09 .
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 % SZS output end Refutation
% 0.70/1.09 found a proof!
% 0.70/1.09
% 0.70/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.09
% 0.70/1.09 initialclauses(
% 0.70/1.09 [ clause( 83, [ =( divide( divide( identity, divide( X, Y ) ), divide(
% 0.70/1.09 divide( Y, Z ), X ) ), Z ) ] )
% 0.70/1.09 , clause( 84, [ =( multiply( X, Y ), divide( X, divide( identity, Y ) ) ) ]
% 0.70/1.09 )
% 0.70/1.09 , clause( 85, [ =( inverse( X ), divide( identity, X ) ) ] )
% 0.70/1.09 , clause( 86, [ =( identity, divide( X, X ) ) ] )
% 0.70/1.09 , clause( 87, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.70/1.09 ] ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 0, [ =( divide( divide( identity, divide( X, Y ) ), divide( divide(
% 0.70/1.09 Y, Z ), X ) ), Z ) ] )
% 0.70/1.09 , clause( 83, [ =( divide( divide( identity, divide( X, Y ) ), divide(
% 0.70/1.09 divide( Y, Z ), X ) ), Z ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.70/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 90, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ]
% 0.70/1.09 )
% 0.70/1.09 , clause( 84, [ =( multiply( X, Y ), divide( X, divide( identity, Y ) ) ) ]
% 0.70/1.09 )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 1, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ] )
% 0.70/1.09 , clause( 90, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ]
% 0.70/1.09 )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.09 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 93, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.70/1.09 , clause( 85, [ =( inverse( X ), divide( identity, X ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.70/1.09 , clause( 93, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 97, [ =( divide( X, X ), identity ) ] )
% 0.70/1.09 , clause( 86, [ =( identity, divide( X, X ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.70/1.09 , clause( 97, [ =( divide( X, X ), identity ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 4, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.70/1.09 , clause( 87, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.70/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 103, [ =( inverse( X ), divide( identity, X ) ) ] )
% 0.70/1.09 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 105, [ =( inverse( identity ), identity ) ] )
% 0.70/1.09 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.70/1.09 , 0, clause( 103, [ =( inverse( X ), divide( identity, X ) ) ] )
% 0.70/1.09 , 0, 3, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.70/1.09 identity )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 5, [ =( inverse( identity ), identity ) ] )
% 0.70/1.09 , clause( 105, [ =( inverse( identity ), identity ) ] )
% 0.70/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 109, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.70/1.09 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.70/1.09 , 0, clause( 1, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) )
% 0.70/1.09 ] )
% 0.70/1.09 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.70/1.09 :=( Y, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.70/1.09 , clause( 109, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.09 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 113, [ =( divide( inverse( divide( X, Y ) ), divide( divide( Y, Z )
% 0.70/1.09 , X ) ), Z ) ] )
% 0.70/1.09 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.70/1.09 , 0, clause( 0, [ =( divide( divide( identity, divide( X, Y ) ), divide(
% 0.70/1.09 divide( Y, Z ), X ) ), Z ) ] )
% 0.70/1.09 , 0, 2, substitution( 0, [ :=( X, divide( X, Y ) )] ), substitution( 1, [
% 0.70/1.09 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 7, [ =( divide( inverse( divide( X, Y ) ), divide( divide( Y, Z ),
% 0.70/1.09 X ) ), Z ) ] )
% 0.70/1.09 , clause( 113, [ =( divide( inverse( divide( X, Y ) ), divide( divide( Y, Z
% 0.70/1.09 ), X ) ), Z ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.70/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 116, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.70/1.09 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 117, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 0.70/1.09 , clause( 5, [ =( inverse( identity ), identity ) ] )
% 0.70/1.09 , 0, clause( 116, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.70/1.09 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 0.70/1.09 identity )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 8, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 0.70/1.09 , clause( 117, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 120, [ =( Z, divide( inverse( divide( X, Y ) ), divide( divide( Y,
% 0.70/1.09 Z ), X ) ) ) ] )
% 0.70/1.09 , clause( 7, [ =( divide( inverse( divide( X, Y ) ), divide( divide( Y, Z )
% 0.70/1.09 , X ) ), Z ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 121, [ =( X, divide( inverse( multiply( Y, Z ) ), divide( divide(
% 0.70/1.09 inverse( Z ), X ), Y ) ) ) ] )
% 0.70/1.09 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.70/1.09 , 0, clause( 120, [ =( Z, divide( inverse( divide( X, Y ) ), divide( divide(
% 0.70/1.09 Y, Z ), X ) ) ) ] )
% 0.70/1.09 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.70/1.09 :=( X, Y ), :=( Y, inverse( Z ) ), :=( Z, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 124, [ =( divide( inverse( multiply( Y, Z ) ), divide( divide(
% 0.70/1.09 inverse( Z ), X ), Y ) ), X ) ] )
% 0.70/1.09 , clause( 121, [ =( X, divide( inverse( multiply( Y, Z ) ), divide( divide(
% 0.70/1.09 inverse( Z ), X ), Y ) ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 11, [ =( divide( inverse( multiply( X, Y ) ), divide( divide(
% 0.70/1.09 inverse( Y ), Z ), X ) ), Z ) ] )
% 0.70/1.09 , clause( 124, [ =( divide( inverse( multiply( Y, Z ) ), divide( divide(
% 0.70/1.09 inverse( Z ), X ), Y ) ), X ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.70/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 128, [ =( Z, divide( inverse( divide( X, Y ) ), divide( divide( Y,
% 0.70/1.09 Z ), X ) ) ) ] )
% 0.70/1.09 , clause( 7, [ =( divide( inverse( divide( X, Y ) ), divide( divide( Y, Z )
% 0.70/1.09 , X ) ), Z ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 130, [ =( X, divide( inverse( divide( inverse( Y ), Z ) ), multiply(
% 0.70/1.09 divide( Z, X ), Y ) ) ) ] )
% 0.70/1.09 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.70/1.09 , 0, clause( 128, [ =( Z, divide( inverse( divide( X, Y ) ), divide( divide(
% 0.70/1.09 Y, Z ), X ) ) ) ] )
% 0.70/1.09 , 0, 8, substitution( 0, [ :=( X, divide( Z, X ) ), :=( Y, Y )] ),
% 0.70/1.09 substitution( 1, [ :=( X, inverse( Y ) ), :=( Y, Z ), :=( Z, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 133, [ =( divide( inverse( divide( inverse( Y ), Z ) ), multiply(
% 0.70/1.09 divide( Z, X ), Y ) ), X ) ] )
% 0.70/1.09 , clause( 130, [ =( X, divide( inverse( divide( inverse( Y ), Z ) ),
% 0.70/1.09 multiply( divide( Z, X ), Y ) ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 12, [ =( divide( inverse( divide( inverse( Z ), X ) ), multiply(
% 0.70/1.09 divide( X, Y ), Z ) ), Y ) ] )
% 0.70/1.09 , clause( 133, [ =( divide( inverse( divide( inverse( Y ), Z ) ), multiply(
% 0.70/1.09 divide( Z, X ), Y ) ), X ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.70/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 136, [ =( Z, divide( inverse( divide( X, Y ) ), divide( divide( Y,
% 0.70/1.09 Z ), X ) ) ) ] )
% 0.70/1.09 , clause( 7, [ =( divide( inverse( divide( X, Y ) ), divide( divide( Y, Z )
% 0.70/1.09 , X ) ), Z ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 139, [ =( X, divide( inverse( identity ), divide( divide( Y, X ), Y
% 0.70/1.09 ) ) ) ] )
% 0.70/1.09 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.70/1.09 , 0, clause( 136, [ =( Z, divide( inverse( divide( X, Y ) ), divide( divide(
% 0.70/1.09 Y, Z ), X ) ) ) ] )
% 0.70/1.09 , 0, 4, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, Y ),
% 0.70/1.09 :=( Y, Y ), :=( Z, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 142, [ =( X, divide( identity, divide( divide( Y, X ), Y ) ) ) ] )
% 0.70/1.09 , clause( 5, [ =( inverse( identity ), identity ) ] )
% 0.70/1.09 , 0, clause( 139, [ =( X, divide( inverse( identity ), divide( divide( Y, X
% 0.70/1.09 ), Y ) ) ) ] )
% 0.70/1.09 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.70/1.09 ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 143, [ =( X, inverse( divide( divide( Y, X ), Y ) ) ) ] )
% 0.70/1.09 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.70/1.09 , 0, clause( 142, [ =( X, divide( identity, divide( divide( Y, X ), Y ) ) )
% 0.70/1.09 ] )
% 0.70/1.09 , 0, 2, substitution( 0, [ :=( X, divide( divide( Y, X ), Y ) )] ),
% 0.70/1.09 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 144, [ =( inverse( divide( divide( Y, X ), Y ) ), X ) ] )
% 0.70/1.09 , clause( 143, [ =( X, inverse( divide( divide( Y, X ), Y ) ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 16, [ =( inverse( divide( divide( X, Y ), X ) ), Y ) ] )
% 0.70/1.09 , clause( 144, [ =( inverse( divide( divide( Y, X ), Y ) ), X ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.09 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 146, [ =( Z, divide( inverse( divide( X, Y ) ), divide( divide( Y,
% 0.70/1.09 Z ), X ) ) ) ] )
% 0.70/1.09 , clause( 7, [ =( divide( inverse( divide( X, Y ) ), divide( divide( Y, Z )
% 0.70/1.09 , X ) ), Z ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 149, [ =( X, divide( inverse( divide( divide( Y, X ), Y ) ),
% 0.70/1.09 identity ) ) ] )
% 0.70/1.09 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.70/1.09 , 0, clause( 146, [ =( Z, divide( inverse( divide( X, Y ) ), divide( divide(
% 0.70/1.09 Y, Z ), X ) ) ) ] )
% 0.70/1.09 , 0, 9, substitution( 0, [ :=( X, divide( Y, X ) )] ), substitution( 1, [
% 0.70/1.09 :=( X, divide( Y, X ) ), :=( Y, Y ), :=( Z, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 151, [ =( X, divide( X, identity ) ) ] )
% 0.70/1.09 , clause( 16, [ =( inverse( divide( divide( X, Y ), X ) ), Y ) ] )
% 0.70/1.09 , 0, clause( 149, [ =( X, divide( inverse( divide( divide( Y, X ), Y ) ),
% 0.70/1.09 identity ) ) ] )
% 0.70/1.09 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.70/1.09 :=( X, X ), :=( Y, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 152, [ =( divide( X, identity ), X ) ] )
% 0.70/1.09 , clause( 151, [ =( X, divide( X, identity ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 17, [ =( divide( Y, identity ), Y ) ] )
% 0.70/1.09 , clause( 152, [ =( divide( X, identity ), X ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, Y )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 154, [ =( Y, inverse( divide( divide( X, Y ), X ) ) ) ] )
% 0.70/1.09 , clause( 16, [ =( inverse( divide( divide( X, Y ), X ) ), Y ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 156, [ =( X, inverse( divide( identity, X ) ) ) ] )
% 0.70/1.09 , clause( 17, [ =( divide( Y, identity ), Y ) ] )
% 0.70/1.09 , 0, clause( 154, [ =( Y, inverse( divide( divide( X, Y ), X ) ) ) ] )
% 0.70/1.09 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, divide( identity, X ) )] ),
% 0.70/1.09 substitution( 1, [ :=( X, identity ), :=( Y, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 158, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.70/1.09 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.70/1.09 , 0, clause( 156, [ =( X, inverse( divide( identity, X ) ) ) ] )
% 0.70/1.09 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.70/1.09 ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 159, [ =( inverse( inverse( X ) ), X ) ] )
% 0.70/1.09 , clause( 158, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 22, [ =( inverse( inverse( X ) ), X ) ] )
% 0.70/1.09 , clause( 159, [ =( inverse( inverse( X ) ), X ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 161, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.70/1.09 , clause( 22, [ =( inverse( inverse( X ) ), X ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 162, [ =( divide( divide( X, Y ), X ), inverse( Y ) ) ] )
% 0.70/1.09 , clause( 16, [ =( inverse( divide( divide( X, Y ), X ) ), Y ) ] )
% 0.70/1.09 , 0, clause( 161, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.70/1.09 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.70/1.09 :=( X, divide( divide( X, Y ), X ) )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 29, [ =( divide( divide( X, Y ), X ), inverse( Y ) ) ] )
% 0.70/1.09 , clause( 162, [ =( divide( divide( X, Y ), X ), inverse( Y ) ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.09 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 165, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.70/1.09 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 166, [ =( multiply( X, inverse( Y ) ), divide( X, Y ) ) ] )
% 0.70/1.09 , clause( 22, [ =( inverse( inverse( X ) ), X ) ] )
% 0.70/1.09 , 0, clause( 165, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.70/1.09 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.70/1.09 :=( Y, inverse( Y ) )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 31, [ =( multiply( Y, inverse( X ) ), divide( Y, X ) ) ] )
% 0.70/1.09 , clause( 166, [ =( multiply( X, inverse( Y ) ), divide( X, Y ) ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.09 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 169, [ =( Y, inverse( divide( divide( X, Y ), X ) ) ) ] )
% 0.70/1.09 , clause( 16, [ =( inverse( divide( divide( X, Y ), X ) ), Y ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 172, [ =( divide( divide( inverse( X ), Y ), Z ), inverse( divide(
% 0.70/1.09 Y, inverse( multiply( Z, X ) ) ) ) ) ] )
% 0.70/1.09 , clause( 11, [ =( divide( inverse( multiply( X, Y ) ), divide( divide(
% 0.70/1.09 inverse( Y ), Z ), X ) ), Z ) ] )
% 0.70/1.09 , 0, clause( 169, [ =( Y, inverse( divide( divide( X, Y ), X ) ) ) ] )
% 0.70/1.09 , 0, 9, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.70/1.09 substitution( 1, [ :=( X, inverse( multiply( Z, X ) ) ), :=( Y, divide(
% 0.70/1.09 divide( inverse( X ), Y ), Z ) )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 173, [ =( divide( divide( inverse( X ), Y ), Z ), inverse( multiply(
% 0.70/1.09 Y, multiply( Z, X ) ) ) ) ] )
% 0.70/1.09 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.70/1.09 , 0, clause( 172, [ =( divide( divide( inverse( X ), Y ), Z ), inverse(
% 0.70/1.09 divide( Y, inverse( multiply( Z, X ) ) ) ) ) ] )
% 0.70/1.09 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, multiply( Z, X ) )] ),
% 0.70/1.09 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 32, [ =( divide( divide( inverse( Y ), Z ), X ), inverse( multiply(
% 0.70/1.09 Z, multiply( X, Y ) ) ) ) ] )
% 0.70/1.09 , clause( 173, [ =( divide( divide( inverse( X ), Y ), Z ), inverse(
% 0.70/1.09 multiply( Y, multiply( Z, X ) ) ) ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.70/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 176, [ =( Z, divide( inverse( multiply( X, Y ) ), divide( divide(
% 0.70/1.09 inverse( Y ), Z ), X ) ) ) ] )
% 0.70/1.09 , clause( 11, [ =( divide( inverse( multiply( X, Y ) ), divide( divide(
% 0.70/1.09 inverse( Y ), Z ), X ) ), Z ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 182, [ =( X, divide( inverse( divide( Y, identity ) ), divide(
% 0.70/1.09 divide( inverse( identity ), X ), Y ) ) ) ] )
% 0.70/1.09 , clause( 8, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 0.70/1.09 , 0, clause( 176, [ =( Z, divide( inverse( multiply( X, Y ) ), divide(
% 0.70/1.09 divide( inverse( Y ), Z ), X ) ) ) ] )
% 0.70/1.09 , 0, 4, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, Y ),
% 0.70/1.09 :=( Y, identity ), :=( Z, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 183, [ =( X, divide( inverse( Y ), divide( divide( inverse(
% 0.70/1.09 identity ), X ), Y ) ) ) ] )
% 0.70/1.09 , clause( 17, [ =( divide( Y, identity ), Y ) ] )
% 0.70/1.09 , 0, clause( 182, [ =( X, divide( inverse( divide( Y, identity ) ), divide(
% 0.70/1.09 divide( inverse( identity ), X ), Y ) ) ) ] )
% 0.70/1.09 , 0, 4, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.70/1.09 :=( X, X ), :=( Y, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 184, [ =( X, divide( inverse( Y ), inverse( multiply( X, multiply(
% 0.70/1.09 Y, identity ) ) ) ) ) ] )
% 0.70/1.09 , clause( 32, [ =( divide( divide( inverse( Y ), Z ), X ), inverse(
% 0.70/1.09 multiply( Z, multiply( X, Y ) ) ) ) ] )
% 0.70/1.09 , 0, clause( 183, [ =( X, divide( inverse( Y ), divide( divide( inverse(
% 0.70/1.09 identity ), X ), Y ) ) ) ] )
% 0.70/1.09 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, identity ), :=( Z, X )] ),
% 0.70/1.09 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 185, [ =( X, multiply( inverse( Y ), multiply( X, multiply( Y,
% 0.70/1.09 identity ) ) ) ) ] )
% 0.70/1.09 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.70/1.09 , 0, clause( 184, [ =( X, divide( inverse( Y ), inverse( multiply( X,
% 0.70/1.09 multiply( Y, identity ) ) ) ) ) ] )
% 0.70/1.09 , 0, 2, substitution( 0, [ :=( X, inverse( Y ) ), :=( Y, multiply( X,
% 0.70/1.09 multiply( Y, identity ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.70/1.09 ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 186, [ =( X, multiply( inverse( Y ), multiply( X, divide( Y,
% 0.70/1.09 identity ) ) ) ) ] )
% 0.70/1.09 , clause( 8, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 0.70/1.09 , 0, clause( 185, [ =( X, multiply( inverse( Y ), multiply( X, multiply( Y
% 0.70/1.09 , identity ) ) ) ) ] )
% 0.70/1.09 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.70/1.09 :=( Y, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 187, [ =( X, multiply( inverse( Y ), multiply( X, Y ) ) ) ] )
% 0.70/1.09 , clause( 17, [ =( divide( Y, identity ), Y ) ] )
% 0.70/1.09 , 0, clause( 186, [ =( X, multiply( inverse( Y ), multiply( X, divide( Y,
% 0.70/1.09 identity ) ) ) ) ] )
% 0.70/1.09 , 0, 7, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.70/1.09 :=( X, X ), :=( Y, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 188, [ =( multiply( inverse( Y ), multiply( X, Y ) ), X ) ] )
% 0.70/1.09 , clause( 187, [ =( X, multiply( inverse( Y ), multiply( X, Y ) ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 36, [ =( multiply( inverse( X ), multiply( Y, X ) ), Y ) ] )
% 0.70/1.09 , clause( 188, [ =( multiply( inverse( Y ), multiply( X, Y ) ), X ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.09 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 190, [ =( Y, multiply( inverse( X ), multiply( Y, X ) ) ) ] )
% 0.70/1.09 , clause( 36, [ =( multiply( inverse( X ), multiply( Y, X ) ), Y ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 192, [ =( X, multiply( Y, multiply( X, inverse( Y ) ) ) ) ] )
% 0.70/1.09 , clause( 22, [ =( inverse( inverse( X ) ), X ) ] )
% 0.70/1.09 , 0, clause( 190, [ =( Y, multiply( inverse( X ), multiply( Y, X ) ) ) ] )
% 0.70/1.09 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, inverse(
% 0.70/1.09 Y ) ), :=( Y, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 193, [ =( X, multiply( Y, divide( X, Y ) ) ) ] )
% 0.70/1.09 , clause( 31, [ =( multiply( Y, inverse( X ) ), divide( Y, X ) ) ] )
% 0.70/1.09 , 0, clause( 192, [ =( X, multiply( Y, multiply( X, inverse( Y ) ) ) ) ] )
% 0.70/1.09 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.70/1.09 :=( X, X ), :=( Y, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 194, [ =( multiply( Y, divide( X, Y ) ), X ) ] )
% 0.70/1.09 , clause( 193, [ =( X, multiply( Y, divide( X, Y ) ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 41, [ =( multiply( X, divide( Y, X ) ), Y ) ] )
% 0.70/1.09 , clause( 194, [ =( multiply( Y, divide( X, Y ) ), X ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.09 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 196, [ =( inverse( Y ), divide( divide( X, Y ), X ) ) ] )
% 0.70/1.09 , clause( 29, [ =( divide( divide( X, Y ), X ), inverse( Y ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 200, [ =( inverse( inverse( X ) ), divide( multiply( Y, X ), Y ) )
% 0.70/1.09 ] )
% 0.70/1.09 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.70/1.09 , 0, clause( 196, [ =( inverse( Y ), divide( divide( X, Y ), X ) ) ] )
% 0.70/1.09 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.70/1.09 :=( X, Y ), :=( Y, inverse( X ) )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 201, [ =( X, divide( multiply( Y, X ), Y ) ) ] )
% 0.70/1.09 , clause( 22, [ =( inverse( inverse( X ) ), X ) ] )
% 0.70/1.09 , 0, clause( 200, [ =( inverse( inverse( X ) ), divide( multiply( Y, X ), Y
% 0.70/1.09 ) ) ] )
% 0.70/1.09 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.70/1.09 :=( Y, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 202, [ =( divide( multiply( Y, X ), Y ), X ) ] )
% 0.70/1.09 , clause( 201, [ =( X, divide( multiply( Y, X ), Y ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 47, [ =( divide( multiply( X, Y ), X ), Y ) ] )
% 0.70/1.09 , clause( 202, [ =( divide( multiply( Y, X ), Y ), X ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.09 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 204, [ =( Z, divide( inverse( divide( inverse( X ), Y ) ), multiply(
% 0.70/1.09 divide( Y, Z ), X ) ) ) ] )
% 0.70/1.09 , clause( 12, [ =( divide( inverse( divide( inverse( Z ), X ) ), multiply(
% 0.70/1.09 divide( X, Y ), Z ) ), Y ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 209, [ =( X, divide( inverse( divide( identity, Y ) ), multiply(
% 0.70/1.09 divide( Y, X ), identity ) ) ) ] )
% 0.70/1.09 , clause( 5, [ =( inverse( identity ), identity ) ] )
% 0.70/1.09 , 0, clause( 204, [ =( Z, divide( inverse( divide( inverse( X ), Y ) ),
% 0.70/1.09 multiply( divide( Y, Z ), X ) ) ) ] )
% 0.70/1.09 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, identity ), :=( Y
% 0.70/1.09 , Y ), :=( Z, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 210, [ =( X, divide( inverse( inverse( Y ) ), multiply( divide( Y,
% 0.70/1.09 X ), identity ) ) ) ] )
% 0.70/1.09 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.70/1.09 , 0, clause( 209, [ =( X, divide( inverse( divide( identity, Y ) ),
% 0.70/1.09 multiply( divide( Y, X ), identity ) ) ) ] )
% 0.70/1.09 , 0, 4, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.70/1.09 :=( Y, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 211, [ =( X, divide( Y, multiply( divide( Y, X ), identity ) ) ) ]
% 0.70/1.09 )
% 0.70/1.09 , clause( 22, [ =( inverse( inverse( X ) ), X ) ] )
% 0.70/1.09 , 0, clause( 210, [ =( X, divide( inverse( inverse( Y ) ), multiply( divide(
% 0.70/1.09 Y, X ), identity ) ) ) ] )
% 0.70/1.09 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.70/1.09 :=( Y, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 212, [ =( X, divide( Y, divide( divide( Y, X ), identity ) ) ) ] )
% 0.70/1.09 , clause( 8, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 0.70/1.09 , 0, clause( 211, [ =( X, divide( Y, multiply( divide( Y, X ), identity ) )
% 0.70/1.09 ) ] )
% 0.70/1.09 , 0, 4, substitution( 0, [ :=( X, divide( Y, X ) )] ), substitution( 1, [
% 0.70/1.09 :=( X, X ), :=( Y, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 213, [ =( X, divide( Y, divide( Y, X ) ) ) ] )
% 0.70/1.09 , clause( 17, [ =( divide( Y, identity ), Y ) ] )
% 0.70/1.09 , 0, clause( 212, [ =( X, divide( Y, divide( divide( Y, X ), identity ) ) )
% 0.70/1.09 ] )
% 0.70/1.09 , 0, 4, substitution( 0, [ :=( X, Z ), :=( Y, divide( Y, X ) )] ),
% 0.70/1.09 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 214, [ =( divide( Y, divide( Y, X ) ), X ) ] )
% 0.70/1.09 , clause( 213, [ =( X, divide( Y, divide( Y, X ) ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 61, [ =( divide( X, divide( X, Y ) ), Y ) ] )
% 0.70/1.09 , clause( 214, [ =( divide( Y, divide( Y, X ) ), X ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.09 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 216, [ =( Y, divide( X, divide( X, Y ) ) ) ] )
% 0.70/1.09 , clause( 61, [ =( divide( X, divide( X, Y ) ), Y ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 217, [ =( X, divide( multiply( X, Y ), Y ) ) ] )
% 0.70/1.09 , clause( 47, [ =( divide( multiply( X, Y ), X ), Y ) ] )
% 0.70/1.09 , 0, clause( 216, [ =( Y, divide( X, divide( X, Y ) ) ) ] )
% 0.70/1.09 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.70/1.09 :=( X, multiply( X, Y ) ), :=( Y, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 218, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 0.70/1.09 , clause( 217, [ =( X, divide( multiply( X, Y ), Y ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 66, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 0.70/1.09 , clause( 218, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.09 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 220, [ =( Y, multiply( X, divide( Y, X ) ) ) ] )
% 0.70/1.09 , clause( 41, [ =( multiply( X, divide( Y, X ) ), Y ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 223, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.70/1.09 , clause( 66, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 0.70/1.09 , 0, clause( 220, [ =( Y, multiply( X, divide( Y, X ) ) ) ] )
% 0.70/1.09 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.70/1.09 :=( X, Y ), :=( Y, multiply( X, Y ) )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 76, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 0.70/1.09 , clause( 223, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.09 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 224, [ ~( =( multiply( b, a ), multiply( a, b ) ) ) ] )
% 0.70/1.09 , clause( 4, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 226, [ ~( =( multiply( b, a ), multiply( b, a ) ) ) ] )
% 0.70/1.09 , clause( 76, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 0.70/1.09 , 0, clause( 224, [ ~( =( multiply( b, a ), multiply( a, b ) ) ) ] )
% 0.70/1.09 , 0, 5, substitution( 0, [ :=( X, b ), :=( Y, a )] ), substitution( 1, [] )
% 0.70/1.09 ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqrefl(
% 0.70/1.09 clause( 229, [] )
% 0.70/1.09 , clause( 226, [ ~( =( multiply( b, a ), multiply( b, a ) ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 81, [] )
% 0.70/1.09 , clause( 229, [] )
% 0.70/1.09 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 end.
% 0.70/1.09
% 0.70/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.09
% 0.70/1.09 Memory use:
% 0.70/1.09
% 0.70/1.09 space for terms: 943
% 0.70/1.09 space for clauses: 9170
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 clauses generated: 271
% 0.70/1.09 clauses kept: 82
% 0.70/1.09 clauses selected: 21
% 0.70/1.09 clauses deleted: 3
% 0.70/1.09 clauses inuse deleted: 0
% 0.70/1.09
% 0.70/1.09 subsentry: 389
% 0.70/1.09 literals s-matched: 132
% 0.70/1.09 literals matched: 132
% 0.70/1.09 full subsumption: 0
% 0.70/1.09
% 0.70/1.09 checksum: -1632199327
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Bliksem ended
%------------------------------------------------------------------------------