TSTP Solution File: GRP522-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP522-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.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 07:37:27 EDT 2022
% Result : Unsatisfiable 0.69s 1.05s
% Output : Refutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP522-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n015.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 08:03:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.69/1.05 *** allocated 10000 integers for termspace/termends
% 0.69/1.05 *** allocated 10000 integers for clauses
% 0.69/1.05 *** allocated 10000 integers for justifications
% 0.69/1.05 Bliksem 1.12
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 Automatic Strategy Selection
% 0.69/1.05
% 0.69/1.05 Clauses:
% 0.69/1.05 [
% 0.69/1.05 [ =( divide( X, divide( Y, divide( Z, divide( X, Y ) ) ) ), Z ) ],
% 0.69/1.05 [ =( multiply( X, Y ), divide( X, divide( divide( Z, Z ), Y ) ) ) ],
% 0.69/1.05 [ =( inverse( X ), divide( divide( Y, Y ), X ) ) ],
% 0.69/1.05 [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ) ]
% 0.69/1.05 ] .
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 percentage equality = 1.000000, percentage horn = 1.000000
% 0.69/1.05 This is a pure equality problem
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 Options Used:
% 0.69/1.05
% 0.69/1.05 useres = 1
% 0.69/1.05 useparamod = 1
% 0.69/1.05 useeqrefl = 1
% 0.69/1.05 useeqfact = 1
% 0.69/1.05 usefactor = 1
% 0.69/1.05 usesimpsplitting = 0
% 0.69/1.05 usesimpdemod = 5
% 0.69/1.05 usesimpres = 3
% 0.69/1.05
% 0.69/1.05 resimpinuse = 1000
% 0.69/1.05 resimpclauses = 20000
% 0.69/1.05 substype = eqrewr
% 0.69/1.05 backwardsubs = 1
% 0.69/1.05 selectoldest = 5
% 0.69/1.05
% 0.69/1.05 litorderings [0] = split
% 0.69/1.05 litorderings [1] = extend the termordering, first sorting on arguments
% 0.69/1.05
% 0.69/1.05 termordering = kbo
% 0.69/1.05
% 0.69/1.05 litapriori = 0
% 0.69/1.05 termapriori = 1
% 0.69/1.05 litaposteriori = 0
% 0.69/1.05 termaposteriori = 0
% 0.69/1.05 demodaposteriori = 0
% 0.69/1.05 ordereqreflfact = 0
% 0.69/1.05
% 0.69/1.05 litselect = negord
% 0.69/1.05
% 0.69/1.05 maxweight = 15
% 0.69/1.05 maxdepth = 30000
% 0.69/1.05 maxlength = 115
% 0.69/1.05 maxnrvars = 195
% 0.69/1.05 excuselevel = 1
% 0.69/1.05 increasemaxweight = 1
% 0.69/1.05
% 0.69/1.05 maxselected = 10000000
% 0.69/1.05 maxnrclauses = 10000000
% 0.69/1.05
% 0.69/1.05 showgenerated = 0
% 0.69/1.05 showkept = 0
% 0.69/1.05 showselected = 0
% 0.69/1.05 showdeleted = 0
% 0.69/1.05 showresimp = 1
% 0.69/1.05 showstatus = 2000
% 0.69/1.05
% 0.69/1.05 prologoutput = 1
% 0.69/1.05 nrgoals = 5000000
% 0.69/1.05 totalproof = 1
% 0.69/1.05
% 0.69/1.05 Symbols occurring in the translation:
% 0.69/1.05
% 0.69/1.05 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.69/1.05 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.69/1.05 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.69/1.05 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.05 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.05 divide [42, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.69/1.05 multiply [43, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.69/1.05 inverse [44, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.69/1.05 b2 [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.69/1.05 a2 [46, 0] (w:1, o:12, a:1, s:1, b:0).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 Starting Search:
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 Bliksems!, er is een bewijs:
% 0.69/1.05 % SZS status Unsatisfiable
% 0.69/1.05 % SZS output start Refutation
% 0.69/1.05
% 0.69/1.05 clause( 0, [ =( divide( X, divide( Y, divide( Z, divide( X, Y ) ) ) ), Z )
% 0.69/1.05 ] )
% 0.69/1.05 .
% 0.69/1.05 clause( 1, [ =( divide( X, divide( divide( Z, Z ), Y ) ), multiply( X, Y )
% 0.69/1.05 ) ] )
% 0.69/1.05 .
% 0.69/1.05 clause( 2, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.69/1.05 .
% 0.69/1.05 clause( 3, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ) ]
% 0.69/1.05 )
% 0.69/1.05 .
% 0.69/1.05 clause( 4, [ =( divide( inverse( divide( X, X ) ), Y ), inverse( Y ) ) ] )
% 0.69/1.05 .
% 0.69/1.05 clause( 6, [ =( divide( inverse( inverse( divide( X, X ) ) ), Y ), inverse(
% 0.69/1.05 Y ) ) ] )
% 0.69/1.05 .
% 0.69/1.05 clause( 9, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.69/1.05 .
% 0.69/1.05 clause( 12, [ =( inverse( divide( Y, multiply( Z, Y ) ) ), Z ) ] )
% 0.69/1.05 .
% 0.69/1.05 clause( 24, [ =( multiply( divide( X, X ), Y ), inverse( inverse( Y ) ) ) ]
% 0.69/1.05 )
% 0.69/1.05 .
% 0.69/1.05 clause( 30, [ =( inverse( multiply( Y, inverse( Y ) ) ), divide( X, X ) ) ]
% 0.69/1.05 )
% 0.69/1.05 .
% 0.69/1.05 clause( 33, [ =( divide( Y, Y ), divide( Z, Z ) ) ] )
% 0.69/1.05 .
% 0.69/1.05 clause( 41, [ =( divide( X, multiply( Y, multiply( Z, inverse( Z ) ) ) ),
% 0.69/1.05 divide( X, Y ) ) ] )
% 0.69/1.05 .
% 0.69/1.05 clause( 42, [ =( divide( X, divide( X, Z ) ), Z ) ] )
% 0.69/1.05 .
% 0.69/1.05 clause( 60, [ =( divide( Z, divide( Y, Y ) ), Z ) ] )
% 0.69/1.05 .
% 0.69/1.05 clause( 68, [ =( multiply( X, divide( Z, X ) ), Z ) ] )
% 0.69/1.05 .
% 0.69/1.05 clause( 73, [ =( multiply( Y, divide( X, X ) ), Y ) ] )
% 0.69/1.05 .
% 0.69/1.05 clause( 74, [ =( inverse( inverse( X ) ), X ) ] )
% 0.69/1.05 .
% 0.69/1.05 clause( 83, [ =( multiply( Y, inverse( X ) ), divide( Y, X ) ) ] )
% 0.69/1.05 .
% 0.69/1.05 clause( 84, [ =( multiply( Y, multiply( inverse( X ), X ) ), Y ) ] )
% 0.69/1.05 .
% 0.69/1.05 clause( 85, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 0.69/1.05 .
% 0.69/1.05 clause( 91, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 0.69/1.05 .
% 0.69/1.05 clause( 93, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 0.69/1.05 .
% 0.69/1.05 clause( 96, [] )
% 0.69/1.05 .
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 % SZS output end Refutation
% 0.69/1.05 found a proof!
% 0.69/1.05
% 0.69/1.05 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.05
% 0.69/1.05 initialclauses(
% 0.69/1.05 [ clause( 98, [ =( divide( X, divide( Y, divide( Z, divide( X, Y ) ) ) ), Z
% 0.69/1.05 ) ] )
% 0.69/1.05 , clause( 99, [ =( multiply( X, Y ), divide( X, divide( divide( Z, Z ), Y )
% 0.69/1.05 ) ) ] )
% 0.69/1.05 , clause( 100, [ =( inverse( X ), divide( divide( Y, Y ), X ) ) ] )
% 0.69/1.05 , clause( 101, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 )
% 0.69/1.05 ) ] )
% 0.69/1.05 ] ).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 subsumption(
% 0.69/1.05 clause( 0, [ =( divide( X, divide( Y, divide( Z, divide( X, Y ) ) ) ), Z )
% 0.69/1.05 ] )
% 0.69/1.05 , clause( 98, [ =( divide( X, divide( Y, divide( Z, divide( X, Y ) ) ) ), Z
% 0.69/1.05 ) ] )
% 0.69/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.05 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 eqswap(
% 0.69/1.05 clause( 104, [ =( divide( X, divide( divide( Z, Z ), Y ) ), multiply( X, Y
% 0.69/1.05 ) ) ] )
% 0.69/1.05 , clause( 99, [ =( multiply( X, Y ), divide( X, divide( divide( Z, Z ), Y )
% 0.69/1.05 ) ) ] )
% 0.69/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 subsumption(
% 0.69/1.05 clause( 1, [ =( divide( X, divide( divide( Z, Z ), Y ) ), multiply( X, Y )
% 0.69/1.05 ) ] )
% 0.69/1.05 , clause( 104, [ =( divide( X, divide( divide( Z, Z ), Y ) ), multiply( X,
% 0.69/1.05 Y ) ) ] )
% 0.69/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.05 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 eqswap(
% 0.69/1.05 clause( 107, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.69/1.05 , clause( 100, [ =( inverse( X ), divide( divide( Y, Y ), X ) ) ] )
% 0.69/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 subsumption(
% 0.69/1.05 clause( 2, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.69/1.05 , clause( 107, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.69/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.05 )] ) ).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 subsumption(
% 0.69/1.05 clause( 3, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ) ]
% 0.69/1.05 )
% 0.69/1.05 , clause( 101, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 )
% 0.69/1.05 ) ] )
% 0.69/1.05 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 eqswap(
% 0.69/1.05 clause( 112, [ =( inverse( Y ), divide( divide( X, X ), Y ) ) ] )
% 0.69/1.05 , clause( 2, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.69/1.05 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 paramod(
% 0.69/1.05 clause( 115, [ =( inverse( X ), divide( inverse( divide( Y, Y ) ), X ) ) ]
% 0.69/1.05 )
% 0.69/1.05 , clause( 2, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.69/1.05 , 0, clause( 112, [ =( inverse( Y ), divide( divide( X, X ), Y ) ) ] )
% 0.69/1.05 , 0, 4, substitution( 0, [ :=( X, divide( Y, Y ) ), :=( Y, Y )] ),
% 0.69/1.05 substitution( 1, [ :=( X, divide( Y, Y ) ), :=( Y, X )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 eqswap(
% 0.69/1.05 clause( 116, [ =( divide( inverse( divide( Y, Y ) ), X ), inverse( X ) ) ]
% 0.69/1.05 )
% 0.69/1.05 , clause( 115, [ =( inverse( X ), divide( inverse( divide( Y, Y ) ), X ) )
% 0.69/1.05 ] )
% 0.69/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 subsumption(
% 0.69/1.05 clause( 4, [ =( divide( inverse( divide( X, X ) ), Y ), inverse( Y ) ) ] )
% 0.69/1.05 , clause( 116, [ =( divide( inverse( divide( Y, Y ) ), X ), inverse( X ) )
% 0.69/1.05 ] )
% 0.69/1.05 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.05 )] ) ).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 eqswap(
% 0.69/1.05 clause( 117, [ =( inverse( Y ), divide( inverse( divide( X, X ) ), Y ) ) ]
% 0.69/1.05 )
% 0.69/1.05 , clause( 4, [ =( divide( inverse( divide( X, X ) ), Y ), inverse( Y ) ) ]
% 0.69/1.05 )
% 0.69/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 paramod(
% 0.69/1.05 clause( 119, [ =( inverse( X ), divide( inverse( inverse( divide( Y, Y ) )
% 0.69/1.05 ), X ) ) ] )
% 0.69/1.05 , clause( 2, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.69/1.05 , 0, clause( 117, [ =( inverse( Y ), divide( inverse( divide( X, X ) ), Y )
% 0.69/1.05 ) ] )
% 0.69/1.05 , 0, 5, substitution( 0, [ :=( X, divide( Y, Y ) ), :=( Y, Y )] ),
% 0.69/1.05 substitution( 1, [ :=( X, divide( Y, Y ) ), :=( Y, X )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 eqswap(
% 0.69/1.05 clause( 120, [ =( divide( inverse( inverse( divide( Y, Y ) ) ), X ),
% 0.69/1.05 inverse( X ) ) ] )
% 0.69/1.05 , clause( 119, [ =( inverse( X ), divide( inverse( inverse( divide( Y, Y )
% 0.69/1.05 ) ), X ) ) ] )
% 0.69/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 subsumption(
% 0.69/1.05 clause( 6, [ =( divide( inverse( inverse( divide( X, X ) ) ), Y ), inverse(
% 0.69/1.05 Y ) ) ] )
% 0.69/1.05 , clause( 120, [ =( divide( inverse( inverse( divide( Y, Y ) ) ), X ),
% 0.69/1.05 inverse( X ) ) ] )
% 0.69/1.05 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.05 )] ) ).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 paramod(
% 0.69/1.05 clause( 123, [ =( divide( X, inverse( Z ) ), multiply( X, Z ) ) ] )
% 0.69/1.05 , clause( 2, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.69/1.05 , 0, clause( 1, [ =( divide( X, divide( divide( Z, Z ), Y ) ), multiply( X
% 0.69/1.05 , Y ) ) ] )
% 0.69/1.05 , 0, 3, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.69/1.05 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 subsumption(
% 0.69/1.05 clause( 9, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.69/1.05 , clause( 123, [ =( divide( X, inverse( Z ) ), multiply( X, Z ) ) ] )
% 0.69/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.69/1.05 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 eqswap(
% 0.69/1.05 clause( 125, [ =( Z, divide( X, divide( Y, divide( Z, divide( X, Y ) ) ) )
% 0.69/1.05 ) ] )
% 0.69/1.05 , clause( 0, [ =( divide( X, divide( Y, divide( Z, divide( X, Y ) ) ) ), Z
% 0.69/1.05 ) ] )
% 0.69/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 paramod(
% 0.69/1.05 clause( 132, [ =( X, divide( inverse( inverse( divide( Y, Y ) ) ), divide(
% 0.69/1.05 Z, divide( X, inverse( Z ) ) ) ) ) ] )
% 0.69/1.05 , clause( 6, [ =( divide( inverse( inverse( divide( X, X ) ) ), Y ),
% 0.69/1.05 inverse( Y ) ) ] )
% 0.69/1.05 , 0, clause( 125, [ =( Z, divide( X, divide( Y, divide( Z, divide( X, Y ) )
% 0.69/1.05 ) ) ) ] )
% 0.69/1.05 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.69/1.05 :=( X, inverse( inverse( divide( Y, Y ) ) ) ), :=( Y, Z ), :=( Z, X )] )
% 0.69/1.05 ).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 paramod(
% 0.69/1.05 clause( 134, [ =( X, inverse( divide( Z, divide( X, inverse( Z ) ) ) ) ) ]
% 0.69/1.05 )
% 0.69/1.05 , clause( 6, [ =( divide( inverse( inverse( divide( X, X ) ) ), Y ),
% 0.69/1.05 inverse( Y ) ) ] )
% 0.69/1.05 , 0, clause( 132, [ =( X, divide( inverse( inverse( divide( Y, Y ) ) ),
% 0.69/1.05 divide( Z, divide( X, inverse( Z ) ) ) ) ) ] )
% 0.69/1.05 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, divide( Z, divide( X, inverse(
% 0.69/1.05 Z ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 0.69/1.05 ).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 paramod(
% 0.69/1.05 clause( 135, [ =( X, inverse( divide( Y, multiply( X, Y ) ) ) ) ] )
% 0.69/1.05 , clause( 9, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.69/1.05 , 0, clause( 134, [ =( X, inverse( divide( Z, divide( X, inverse( Z ) ) ) )
% 0.69/1.05 ) ] )
% 0.69/1.05 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.69/1.05 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 eqswap(
% 0.69/1.05 clause( 136, [ =( inverse( divide( Y, multiply( X, Y ) ) ), X ) ] )
% 0.69/1.05 , clause( 135, [ =( X, inverse( divide( Y, multiply( X, Y ) ) ) ) ] )
% 0.69/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 subsumption(
% 0.69/1.05 clause( 12, [ =( inverse( divide( Y, multiply( Z, Y ) ) ), Z ) ] )
% 0.69/1.05 , clause( 136, [ =( inverse( divide( Y, multiply( X, Y ) ) ), X ) ] )
% 0.69/1.05 , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.05 )] ) ).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 eqswap(
% 0.69/1.05 clause( 137, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.69/1.05 , clause( 9, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.69/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 paramod(
% 0.69/1.05 clause( 139, [ =( multiply( divide( X, X ), Y ), inverse( inverse( Y ) ) )
% 0.69/1.05 ] )
% 0.69/1.05 , clause( 2, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.69/1.05 , 0, clause( 137, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.69/1.05 , 0, 6, substitution( 0, [ :=( X, inverse( Y ) ), :=( Y, X )] ),
% 0.69/1.05 substitution( 1, [ :=( X, divide( X, X ) ), :=( Y, Y )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 subsumption(
% 0.69/1.05 clause( 24, [ =( multiply( divide( X, X ), Y ), inverse( inverse( Y ) ) ) ]
% 0.69/1.05 )
% 0.69/1.05 , clause( 139, [ =( multiply( divide( X, X ), Y ), inverse( inverse( Y ) )
% 0.69/1.05 ) ] )
% 0.69/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.05 )] ) ).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 eqswap(
% 0.69/1.05 clause( 142, [ =( Y, inverse( divide( X, multiply( Y, X ) ) ) ) ] )
% 0.69/1.05 , clause( 12, [ =( inverse( divide( Y, multiply( Z, Y ) ) ), Z ) ] )
% 0.69/1.05 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 paramod(
% 0.69/1.05 clause( 145, [ =( divide( X, X ), inverse( divide( Y, inverse( inverse( Y )
% 0.69/1.05 ) ) ) ) ] )
% 0.69/1.05 , clause( 24, [ =( multiply( divide( X, X ), Y ), inverse( inverse( Y ) ) )
% 0.69/1.05 ] )
% 0.69/1.05 , 0, clause( 142, [ =( Y, inverse( divide( X, multiply( Y, X ) ) ) ) ] )
% 0.69/1.05 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.69/1.05 :=( X, Y ), :=( Y, divide( X, X ) )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 paramod(
% 0.69/1.05 clause( 146, [ =( divide( X, X ), inverse( multiply( Y, inverse( Y ) ) ) )
% 0.69/1.05 ] )
% 0.69/1.05 , clause( 9, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.69/1.05 , 0, clause( 145, [ =( divide( X, X ), inverse( divide( Y, inverse( inverse(
% 0.69/1.05 Y ) ) ) ) ) ] )
% 0.69/1.05 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, inverse( Y ) )] ),
% 0.69/1.05 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 eqswap(
% 0.69/1.05 clause( 147, [ =( inverse( multiply( Y, inverse( Y ) ) ), divide( X, X ) )
% 0.69/1.05 ] )
% 0.69/1.05 , clause( 146, [ =( divide( X, X ), inverse( multiply( Y, inverse( Y ) ) )
% 0.69/1.05 ) ] )
% 0.69/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 subsumption(
% 0.69/1.05 clause( 30, [ =( inverse( multiply( Y, inverse( Y ) ) ), divide( X, X ) ) ]
% 0.69/1.05 )
% 0.69/1.05 , clause( 147, [ =( inverse( multiply( Y, inverse( Y ) ) ), divide( X, X )
% 0.69/1.05 ) ] )
% 0.69/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.05 )] ) ).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 eqswap(
% 0.69/1.05 clause( 148, [ =( divide( Y, Y ), inverse( multiply( X, inverse( X ) ) ) )
% 0.69/1.05 ] )
% 0.69/1.05 , clause( 30, [ =( inverse( multiply( Y, inverse( Y ) ) ), divide( X, X ) )
% 0.69/1.05 ] )
% 0.69/1.05 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 paramod(
% 0.69/1.05 clause( 153, [ =( divide( X, X ), divide( Z, Z ) ) ] )
% 0.69/1.05 , clause( 30, [ =( inverse( multiply( Y, inverse( Y ) ) ), divide( X, X ) )
% 0.69/1.05 ] )
% 0.69/1.05 , 0, clause( 148, [ =( divide( Y, Y ), inverse( multiply( X, inverse( X ) )
% 0.69/1.05 ) ) ] )
% 0.69/1.05 , 0, 4, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.69/1.05 :=( X, Y ), :=( Y, X )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 subsumption(
% 0.69/1.05 clause( 33, [ =( divide( Y, Y ), divide( Z, Z ) ) ] )
% 0.69/1.05 , clause( 153, [ =( divide( X, X ), divide( Z, Z ) ) ] )
% 0.69/1.05 , substitution( 0, [ :=( X, Y ), :=( Y, T ), :=( Z, Z )] ),
% 0.69/1.05 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 eqswap(
% 0.69/1.05 clause( 156, [ =( divide( Y, Y ), inverse( multiply( X, inverse( X ) ) ) )
% 0.69/1.05 ] )
% 0.69/1.05 , clause( 30, [ =( inverse( multiply( Y, inverse( Y ) ) ), divide( X, X ) )
% 0.69/1.05 ] )
% 0.69/1.05 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 eqswap(
% 0.69/1.05 clause( 157, [ =( Z, divide( X, divide( Y, divide( Z, divide( X, Y ) ) ) )
% 0.69/1.05 ) ] )
% 0.69/1.05 , clause( 0, [ =( divide( X, divide( Y, divide( Z, divide( X, Y ) ) ) ), Z
% 0.69/1.05 ) ] )
% 0.69/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 paramod(
% 0.69/1.05 clause( 159, [ =( divide( X, Y ), divide( X, divide( Y, inverse( multiply(
% 0.69/1.05 Z, inverse( Z ) ) ) ) ) ) ] )
% 0.69/1.05 , clause( 156, [ =( divide( Y, Y ), inverse( multiply( X, inverse( X ) ) )
% 0.69/1.05 ) ] )
% 0.69/1.05 , 0, clause( 157, [ =( Z, divide( X, divide( Y, divide( Z, divide( X, Y ) )
% 0.69/1.05 ) ) ) ] )
% 0.69/1.05 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, divide( X, Y ) )] ),
% 0.69/1.05 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, divide( X, Y ) )] )
% 0.69/1.05 ).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 paramod(
% 0.69/1.05 clause( 163, [ =( divide( X, Y ), divide( X, multiply( Y, multiply( Z,
% 0.69/1.05 inverse( Z ) ) ) ) ) ] )
% 0.69/1.05 , clause( 9, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.69/1.05 , 0, clause( 159, [ =( divide( X, Y ), divide( X, divide( Y, inverse(
% 0.69/1.05 multiply( Z, inverse( Z ) ) ) ) ) ) ] )
% 0.69/1.05 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, multiply( Z, inverse( Z ) ) )] )
% 0.69/1.05 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 eqswap(
% 0.69/1.05 clause( 164, [ =( divide( X, multiply( Y, multiply( Z, inverse( Z ) ) ) ),
% 0.69/1.05 divide( X, Y ) ) ] )
% 0.69/1.05 , clause( 163, [ =( divide( X, Y ), divide( X, multiply( Y, multiply( Z,
% 0.69/1.05 inverse( Z ) ) ) ) ) ] )
% 0.69/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 subsumption(
% 0.69/1.05 clause( 41, [ =( divide( X, multiply( Y, multiply( Z, inverse( Z ) ) ) ),
% 0.69/1.05 divide( X, Y ) ) ] )
% 0.69/1.05 , clause( 164, [ =( divide( X, multiply( Y, multiply( Z, inverse( Z ) ) ) )
% 0.69/1.05 , divide( X, Y ) ) ] )
% 0.69/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.05 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 eqswap(
% 0.69/1.05 clause( 165, [ =( divide( Y, Y ), inverse( multiply( X, inverse( X ) ) ) )
% 0.69/1.05 ] )
% 0.69/1.05 , clause( 30, [ =( inverse( multiply( Y, inverse( Y ) ) ), divide( X, X ) )
% 0.69/1.05 ] )
% 0.69/1.05 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 eqswap(
% 0.69/1.05 clause( 166, [ =( Z, divide( X, divide( Y, divide( Z, divide( X, Y ) ) ) )
% 0.69/1.05 ) ] )
% 0.69/1.05 , clause( 0, [ =( divide( X, divide( Y, divide( Z, divide( X, Y ) ) ) ), Z
% 0.69/1.05 ) ] )
% 0.69/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 paramod(
% 0.69/1.05 clause( 170, [ =( X, divide( Y, divide( Y, divide( X, inverse( multiply( Z
% 0.69/1.05 , inverse( Z ) ) ) ) ) ) ) ] )
% 0.69/1.05 , clause( 165, [ =( divide( Y, Y ), inverse( multiply( X, inverse( X ) ) )
% 0.69/1.05 ) ] )
% 0.69/1.05 , 0, clause( 166, [ =( Z, divide( X, divide( Y, divide( Z, divide( X, Y ) )
% 0.69/1.05 ) ) ) ] )
% 0.69/1.05 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.69/1.05 :=( X, Y ), :=( Y, Y ), :=( Z, X )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 paramod(
% 0.69/1.05 clause( 171, [ =( X, divide( Y, divide( Y, multiply( X, multiply( Z,
% 0.69/1.05 inverse( Z ) ) ) ) ) ) ] )
% 0.69/1.05 , clause( 9, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.69/1.05 , 0, clause( 170, [ =( X, divide( Y, divide( Y, divide( X, inverse(
% 0.69/1.05 multiply( Z, inverse( Z ) ) ) ) ) ) ) ] )
% 0.69/1.05 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, multiply( Z, inverse( Z ) ) )] )
% 0.69/1.05 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 paramod(
% 0.69/1.05 clause( 172, [ =( X, divide( Y, divide( Y, X ) ) ) ] )
% 0.69/1.05 , clause( 41, [ =( divide( X, multiply( Y, multiply( Z, inverse( Z ) ) ) )
% 0.69/1.05 , divide( X, Y ) ) ] )
% 0.69/1.05 , 0, clause( 171, [ =( X, divide( Y, divide( Y, multiply( X, multiply( Z,
% 0.69/1.05 inverse( Z ) ) ) ) ) ) ] )
% 0.69/1.05 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.69/1.05 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 eqswap(
% 0.69/1.05 clause( 173, [ =( divide( Y, divide( Y, X ) ), X ) ] )
% 0.69/1.05 , clause( 172, [ =( X, divide( Y, divide( Y, X ) ) ) ] )
% 0.69/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 subsumption(
% 0.69/1.05 clause( 42, [ =( divide( X, divide( X, Z ) ), Z ) ] )
% 0.69/1.05 , clause( 173, [ =( divide( Y, divide( Y, X ) ), X ) ] )
% 0.69/1.05 , substitution( 0, [ :=( X, Z ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.05 )] ) ).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 eqswap(
% 0.69/1.05 clause( 174, [ =( Z, divide( X, divide( Y, divide( Z, divide( X, Y ) ) ) )
% 0.69/1.05 ) ] )
% 0.69/1.05 , clause( 0, [ =( divide( X, divide( Y, divide( Z, divide( X, Y ) ) ) ), Z
% 0.69/1.05 ) ] )
% 0.69/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 paramod(
% 0.69/1.05 clause( 177, [ =( X, divide( Y, divide( Y, divide( X, divide( Z, Z ) ) ) )
% 0.69/1.05 ) ] )
% 0.69/1.05 , clause( 33, [ =( divide( Y, Y ), divide( Z, Z ) ) ] )
% 0.69/1.05 , 0, clause( 174, [ =( Z, divide( X, divide( Y, divide( Z, divide( X, Y ) )
% 0.69/1.05 ) ) ) ] )
% 0.69/1.05 , 0, 8, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.05 substitution( 1, [ :=( X, Y ), :=( Y, Y ), :=( Z, X )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 paramod(
% 0.69/1.05 clause( 178, [ =( X, divide( X, divide( Z, Z ) ) ) ] )
% 0.69/1.05 , clause( 42, [ =( divide( X, divide( X, Z ) ), Z ) ] )
% 0.69/1.05 , 0, clause( 177, [ =( X, divide( Y, divide( Y, divide( X, divide( Z, Z ) )
% 0.69/1.05 ) ) ) ] )
% 0.69/1.05 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, T ), :=( Z, divide( X, divide(
% 0.69/1.05 Z, Z ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 0.69/1.05 ).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 eqswap(
% 0.69/1.05 clause( 179, [ =( divide( X, divide( Y, Y ) ), X ) ] )
% 0.69/1.05 , clause( 178, [ =( X, divide( X, divide( Z, Z ) ) ) ] )
% 0.69/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 subsumption(
% 0.69/1.05 clause( 60, [ =( divide( Z, divide( Y, Y ) ), Z ) ] )
% 0.69/1.05 , clause( 179, [ =( divide( X, divide( Y, Y ) ), X ) ] )
% 0.69/1.05 , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.05 )] ) ).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 eqswap(
% 0.69/1.05 clause( 181, [ =( Z, divide( X, divide( Y, divide( Z, divide( X, Y ) ) ) )
% 0.69/1.05 ) ] )
% 0.69/1.05 , clause( 0, [ =( divide( X, divide( Y, divide( Z, divide( X, Y ) ) ) ), Z
% 0.69/1.05 ) ] )
% 0.69/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 paramod(
% 0.69/1.05 clause( 186, [ =( X, divide( Y, divide( divide( Z, Z ), divide( X, Y ) ) )
% 0.69/1.05 ) ] )
% 0.69/1.05 , clause( 60, [ =( divide( Z, divide( Y, Y ) ), Z ) ] )
% 0.69/1.05 , 0, clause( 181, [ =( Z, divide( X, divide( Y, divide( Z, divide( X, Y ) )
% 0.69/1.05 ) ) ) ] )
% 0.69/1.05 , 0, 10, substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, Y )] ),
% 0.69/1.05 substitution( 1, [ :=( X, Y ), :=( Y, divide( Z, Z ) ), :=( Z, X )] )
% 0.69/1.05 ).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 paramod(
% 0.69/1.05 clause( 187, [ =( X, divide( Y, inverse( divide( X, Y ) ) ) ) ] )
% 0.69/1.05 , clause( 2, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.69/1.05 , 0, clause( 186, [ =( X, divide( Y, divide( divide( Z, Z ), divide( X, Y )
% 0.69/1.05 ) ) ) ] )
% 0.69/1.05 , 0, 4, substitution( 0, [ :=( X, divide( X, Y ) ), :=( Y, Z )] ),
% 0.69/1.05 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 paramod(
% 0.69/1.05 clause( 188, [ =( X, multiply( Y, divide( X, Y ) ) ) ] )
% 0.69/1.05 , clause( 9, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.69/1.05 , 0, clause( 187, [ =( X, divide( Y, inverse( divide( X, Y ) ) ) ) ] )
% 0.69/1.05 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, divide( X, Y ) )] ),
% 0.69/1.05 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 eqswap(
% 0.69/1.05 clause( 189, [ =( multiply( Y, divide( X, Y ) ), X ) ] )
% 0.69/1.05 , clause( 188, [ =( X, multiply( Y, divide( X, Y ) ) ) ] )
% 0.69/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 subsumption(
% 0.69/1.05 clause( 68, [ =( multiply( X, divide( Z, X ) ), Z ) ] )
% 0.69/1.05 , clause( 189, [ =( multiply( Y, divide( X, Y ) ), X ) ] )
% 0.69/1.05 , substitution( 0, [ :=( X, Z ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.05 )] ) ).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 eqswap(
% 0.69/1.05 clause( 191, [ =( X, divide( X, divide( Y, Y ) ) ) ] )
% 0.69/1.05 , clause( 60, [ =( divide( Z, divide( Y, Y ) ), Z ) ] )
% 0.69/1.05 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 paramod(
% 0.69/1.05 clause( 196, [ =( X, divide( X, inverse( divide( Y, Y ) ) ) ) ] )
% 0.69/1.05 , clause( 2, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.69/1.05 , 0, clause( 191, [ =( X, divide( X, divide( Y, Y ) ) ) ] )
% 0.69/1.05 , 0, 4, substitution( 0, [ :=( X, divide( Y, Y ) ), :=( Y, Y )] ),
% 0.69/1.05 substitution( 1, [ :=( X, X ), :=( Y, divide( Y, Y ) )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 paramod(
% 0.69/1.05 clause( 197, [ =( X, multiply( X, divide( Y, Y ) ) ) ] )
% 0.69/1.05 , clause( 9, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.69/1.05 , 0, clause( 196, [ =( X, divide( X, inverse( divide( Y, Y ) ) ) ) ] )
% 0.69/1.05 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, divide( Y, Y ) )] ),
% 0.69/1.05 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 eqswap(
% 0.69/1.05 clause( 198, [ =( multiply( X, divide( Y, Y ) ), X ) ] )
% 0.69/1.05 , clause( 197, [ =( X, multiply( X, divide( Y, Y ) ) ) ] )
% 0.69/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 subsumption(
% 0.69/1.05 clause( 73, [ =( multiply( Y, divide( X, X ) ), Y ) ] )
% 0.69/1.05 , clause( 198, [ =( multiply( X, divide( Y, Y ) ), X ) ] )
% 0.69/1.05 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.05 )] ) ).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 eqswap(
% 0.69/1.05 clause( 200, [ =( Y, multiply( X, divide( Y, X ) ) ) ] )
% 0.69/1.05 , clause( 68, [ =( multiply( X, divide( Z, X ) ), Z ) ] )
% 0.69/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 paramod(
% 0.69/1.05 clause( 202, [ =( X, multiply( divide( Y, Y ), X ) ) ] )
% 0.69/1.05 , clause( 60, [ =( divide( Z, divide( Y, Y ) ), Z ) ] )
% 0.69/1.05 , 0, clause( 200, [ =( Y, multiply( X, divide( Y, X ) ) ) ] )
% 0.69/1.05 , 0, 6, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.69/1.05 substitution( 1, [ :=( X, divide( Y, Y ) ), :=( Y, X )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 paramod(
% 0.69/1.05 clause( 203, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.69/1.05 , clause( 24, [ =( multiply( divide( X, X ), Y ), inverse( inverse( Y ) ) )
% 0.69/1.05 ] )
% 0.69/1.05 , 0, clause( 202, [ =( X, multiply( divide( Y, Y ), X ) ) ] )
% 0.69/1.05 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.69/1.05 :=( X, X ), :=( Y, Y )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 eqswap(
% 0.69/1.05 clause( 204, [ =( inverse( inverse( X ) ), X ) ] )
% 0.69/1.05 , clause( 203, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.69/1.05 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 subsumption(
% 0.69/1.05 clause( 74, [ =( inverse( inverse( X ) ), X ) ] )
% 0.69/1.05 , clause( 204, [ =( inverse( inverse( X ) ), X ) ] )
% 0.69/1.05 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 eqswap(
% 0.69/1.05 clause( 206, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.69/1.05 , clause( 9, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.69/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 paramod(
% 0.69/1.05 clause( 207, [ =( multiply( X, inverse( Y ) ), divide( X, Y ) ) ] )
% 0.69/1.05 , clause( 74, [ =( inverse( inverse( X ) ), X ) ] )
% 0.69/1.05 , 0, clause( 206, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.69/1.05 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.69/1.05 :=( Y, inverse( Y ) )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 subsumption(
% 0.69/1.05 clause( 83, [ =( multiply( Y, inverse( X ) ), divide( Y, X ) ) ] )
% 0.69/1.05 , clause( 207, [ =( multiply( X, inverse( Y ) ), divide( X, Y ) ) ] )
% 0.69/1.05 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.05 )] ) ).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 eqswap(
% 0.69/1.05 clause( 210, [ =( X, multiply( X, divide( Y, Y ) ) ) ] )
% 0.69/1.05 , clause( 73, [ =( multiply( Y, divide( X, X ) ), Y ) ] )
% 0.69/1.05 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 paramod(
% 0.69/1.05 clause( 213, [ =( X, multiply( X, multiply( inverse( Y ), Y ) ) ) ] )
% 0.69/1.05 , clause( 9, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.69/1.05 , 0, clause( 210, [ =( X, multiply( X, divide( Y, Y ) ) ) ] )
% 0.69/1.05 , 0, 4, substitution( 0, [ :=( X, inverse( Y ) ), :=( Y, Y )] ),
% 0.69/1.05 substitution( 1, [ :=( X, X ), :=( Y, inverse( Y ) )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 eqswap(
% 0.69/1.05 clause( 214, [ =( multiply( X, multiply( inverse( Y ), Y ) ), X ) ] )
% 0.69/1.05 , clause( 213, [ =( X, multiply( X, multiply( inverse( Y ), Y ) ) ) ] )
% 0.69/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 subsumption(
% 0.69/1.05 clause( 84, [ =( multiply( Y, multiply( inverse( X ), X ) ), Y ) ] )
% 0.69/1.05 , clause( 214, [ =( multiply( X, multiply( inverse( Y ), Y ) ), X ) ] )
% 0.69/1.05 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.05 )] ) ).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 eqswap(
% 0.69/1.05 clause( 216, [ =( Y, multiply( X, divide( Y, X ) ) ) ] )
% 0.69/1.05 , clause( 68, [ =( multiply( X, divide( Z, X ) ), Z ) ] )
% 0.69/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 paramod(
% 0.69/1.05 clause( 217, [ =( X, multiply( divide( X, Y ), Y ) ) ] )
% 0.69/1.05 , clause( 42, [ =( divide( X, divide( X, Z ) ), Z ) ] )
% 0.69/1.05 , 0, clause( 216, [ =( Y, multiply( X, divide( Y, X ) ) ) ] )
% 0.69/1.05 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.69/1.05 substitution( 1, [ :=( X, divide( X, Y ) ), :=( Y, X )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 eqswap(
% 0.69/1.05 clause( 218, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 0.69/1.05 , clause( 217, [ =( X, multiply( divide( X, Y ), Y ) ) ] )
% 0.69/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 subsumption(
% 0.69/1.05 clause( 85, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 0.69/1.05 , clause( 218, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 0.69/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.05 )] ) ).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 eqswap(
% 0.69/1.05 clause( 220, [ =( X, multiply( divide( X, Y ), Y ) ) ] )
% 0.69/1.05 , clause( 85, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 0.69/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 paramod(
% 0.69/1.05 clause( 223, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.69/1.05 , clause( 9, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.69/1.05 , 0, clause( 220, [ =( X, multiply( divide( X, Y ), Y ) ) ] )
% 0.69/1.05 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.69/1.05 :=( X, X ), :=( Y, inverse( Y ) )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 paramod(
% 0.69/1.05 clause( 224, [ =( X, divide( multiply( X, Y ), Y ) ) ] )
% 0.69/1.05 , clause( 83, [ =( multiply( Y, inverse( X ) ), divide( Y, X ) ) ] )
% 0.69/1.05 , 0, clause( 223, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.69/1.05 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, multiply( X, Y ) )] ),
% 0.69/1.05 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 eqswap(
% 0.69/1.05 clause( 225, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 0.69/1.05 , clause( 224, [ =( X, divide( multiply( X, Y ), Y ) ) ] )
% 0.69/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 subsumption(
% 0.69/1.05 clause( 91, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 0.69/1.05 , clause( 225, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 0.69/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.05 )] ) ).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 eqswap(
% 0.69/1.05 clause( 227, [ =( Y, multiply( X, divide( Y, X ) ) ) ] )
% 0.69/1.05 , clause( 68, [ =( multiply( X, divide( Z, X ) ), Z ) ] )
% 0.69/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 paramod(
% 0.69/1.05 clause( 230, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.69/1.05 , clause( 91, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 0.69/1.05 , 0, clause( 227, [ =( Y, multiply( X, divide( Y, X ) ) ) ] )
% 0.69/1.05 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.69/1.05 :=( X, Y ), :=( Y, multiply( X, Y ) )] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 subsumption(
% 0.69/1.05 clause( 93, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 0.69/1.05 , clause( 230, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.69/1.05 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.05 )] ) ).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 eqswap(
% 0.69/1.05 clause( 231, [ ~( =( a2, multiply( multiply( inverse( b2 ), b2 ), a2 ) ) )
% 0.69/1.05 ] )
% 0.69/1.05 , clause( 3, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) )
% 0.69/1.05 ] )
% 0.69/1.05 , 0, substitution( 0, [] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 paramod(
% 0.69/1.05 clause( 233, [ ~( =( a2, multiply( a2, multiply( inverse( b2 ), b2 ) ) ) )
% 0.69/1.05 ] )
% 0.69/1.05 , clause( 93, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 0.69/1.05 , 0, clause( 231, [ ~( =( a2, multiply( multiply( inverse( b2 ), b2 ), a2 )
% 0.69/1.05 ) ) ] )
% 0.69/1.05 , 0, 3, substitution( 0, [ :=( X, a2 ), :=( Y, multiply( inverse( b2 ), b2
% 0.69/1.05 ) )] ), substitution( 1, [] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 paramod(
% 0.69/1.05 clause( 237, [ ~( =( a2, a2 ) ) ] )
% 0.69/1.05 , clause( 84, [ =( multiply( Y, multiply( inverse( X ), X ) ), Y ) ] )
% 0.69/1.05 , 0, clause( 233, [ ~( =( a2, multiply( a2, multiply( inverse( b2 ), b2 ) )
% 0.69/1.05 ) ) ] )
% 0.69/1.05 , 0, 3, substitution( 0, [ :=( X, b2 ), :=( Y, a2 )] ), substitution( 1, [] )
% 0.69/1.05 ).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 eqrefl(
% 0.69/1.05 clause( 238, [] )
% 0.69/1.05 , clause( 237, [ ~( =( a2, a2 ) ) ] )
% 0.69/1.05 , 0, substitution( 0, [] )).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 subsumption(
% 0.69/1.05 clause( 96, [] )
% 0.69/1.05 , clause( 238, [] )
% 0.69/1.05 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 end.
% 0.69/1.05
% 0.69/1.05 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.05
% 0.69/1.05 Memory use:
% 0.69/1.05
% 0.69/1.05 space for terms: 1070
% 0.69/1.05 space for clauses: 9692
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 clauses generated: 333
% 0.69/1.05 clauses kept: 97
% 0.69/1.05 clauses selected: 19
% 0.69/1.05 clauses deleted: 3
% 0.69/1.05 clauses inuse deleted: 0
% 0.69/1.05
% 0.69/1.05 subsentry: 388
% 0.69/1.05 literals s-matched: 176
% 0.69/1.05 literals matched: 175
% 0.69/1.05 full subsumption: 0
% 0.69/1.05
% 0.69/1.05 checksum: 2032194701
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 Bliksem ended
%------------------------------------------------------------------------------