%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP526-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 07:37:28 EDT 2022
% Result : Unsatisfiable 0.82s 1.16s
% Output : Refutation 0.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14 % Problem : GRP526-1 : TPTP v8.1.0. Released v2.6.0.
% 0.14/0.15 % Command : bliksem %s
% 0.16/0.36 % Computer : n026.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % DateTime : Tue Jun 14 09:40:36 EDT 2022
% 0.16/0.37 % CPUTime :
% 0.82/1.16 *** allocated 10000 integers for termspace/termends
% 0.82/1.16 *** allocated 10000 integers for clauses
% 0.82/1.16 *** allocated 10000 integers for justifications
% 0.82/1.16 Bliksem 1.12
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 Automatic Strategy Selection
% 0.82/1.16
% 0.82/1.16 Clauses:
% 0.82/1.16 [
% 0.82/1.16 [ =( divide( X, divide( divide( X, Y ), divide( Z, Y ) ) ), Z ) ],
% 0.82/1.16 [ =( multiply( X, Y ), divide( X, divide( divide( Z, Z ), Y ) ) ) ],
% 0.82/1.16 [ =( inverse( X ), divide( divide( Y, Y ), X ) ) ],
% 0.82/1.16 [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ) ]
% 0.82/1.16 ] .
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 percentage equality = 1.000000, percentage horn = 1.000000
% 0.82/1.16 This is a pure equality problem
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 Options Used:
% 0.82/1.16
% 0.82/1.16 useres = 1
% 0.82/1.16 useparamod = 1
% 0.82/1.16 useeqrefl = 1
% 0.82/1.16 useeqfact = 1
% 0.82/1.16 usefactor = 1
% 0.82/1.16 usesimpsplitting = 0
% 0.82/1.16 usesimpdemod = 5
% 0.82/1.16 usesimpres = 3
% 0.82/1.16
% 0.82/1.16 resimpinuse = 1000
% 0.82/1.16 resimpclauses = 20000
% 0.82/1.16 substype = eqrewr
% 0.82/1.16 backwardsubs = 1
% 0.82/1.16 selectoldest = 5
% 0.82/1.16
% 0.82/1.16 litorderings [0] = split
% 0.82/1.16 litorderings [1] = extend the termordering, first sorting on arguments
% 0.82/1.16
% 0.82/1.16 termordering = kbo
% 0.82/1.16
% 0.82/1.16 litapriori = 0
% 0.82/1.16 termapriori = 1
% 0.82/1.16 litaposteriori = 0
% 0.82/1.16 termaposteriori = 0
% 0.82/1.16 demodaposteriori = 0
% 0.82/1.16 ordereqreflfact = 0
% 0.82/1.16
% 0.82/1.16 litselect = negord
% 0.82/1.16
% 0.82/1.16 maxweight = 15
% 0.82/1.16 maxdepth = 30000
% 0.82/1.16 maxlength = 115
% 0.82/1.16 maxnrvars = 195
% 0.82/1.16 excuselevel = 1
% 0.82/1.16 increasemaxweight = 1
% 0.82/1.16
% 0.82/1.16 maxselected = 10000000
% 0.82/1.16 maxnrclauses = 10000000
% 0.82/1.16
% 0.82/1.16 showgenerated = 0
% 0.82/1.16 showkept = 0
% 0.82/1.16 showselected = 0
% 0.82/1.16 showdeleted = 0
% 0.82/1.16 showresimp = 1
% 0.82/1.16 showstatus = 2000
% 0.82/1.16
% 0.82/1.16 prologoutput = 1
% 0.82/1.16 nrgoals = 5000000
% 0.82/1.16 totalproof = 1
% 0.82/1.16
% 0.82/1.16 Symbols occurring in the translation:
% 0.82/1.16
% 0.82/1.16 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.82/1.16 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.82/1.16 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.82/1.16 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.82/1.16 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.82/1.16 divide [41, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.82/1.16 multiply [43, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.82/1.16 inverse [44, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.82/1.16 b2 [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.82/1.16 a2 [46, 0] (w:1, o:12, a:1, s:1, b:0).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 Starting Search:
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 Bliksems!, er is een bewijs:
% 0.82/1.16 % SZS status Unsatisfiable
% 0.82/1.16 % SZS output start Refutation
% 0.82/1.16
% 0.82/1.16 clause( 0, [ =( divide( X, divide( divide( X, Y ), divide( Z, Y ) ) ), Z )
% 0.82/1.16 ] )
% 0.82/1.16 .
% 0.82/1.16 clause( 1, [ =( divide( X, divide( divide( Z, Z ), Y ) ), multiply( X, Y )
% 0.82/1.16 ) ] )
% 0.82/1.16 .
% 0.82/1.16 clause( 2, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.82/1.16 .
% 0.82/1.16 clause( 3, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ) ]
% 0.82/1.16 )
% 0.82/1.16 .
% 0.82/1.16 clause( 4, [ =( divide( inverse( divide( X, X ) ), Y ), inverse( Y ) ) ] )
% 0.82/1.16 .
% 0.82/1.16 clause( 5, [ =( divide( inverse( inverse( inverse( divide( X, X ) ) ) ), Y
% 0.82/1.16 ), inverse( Y ) ) ] )
% 0.82/1.16 .
% 0.82/1.16 clause( 9, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.82/1.16 .
% 0.82/1.16 clause( 16, [ =( multiply( X, divide( Y, X ) ), Y ) ] )
% 0.82/1.16 .
% 0.82/1.16 clause( 21, [ =( multiply( Y, inverse( Y ) ), divide( X, X ) ) ] )
% 0.82/1.16 .
% 0.82/1.16 clause( 22, [ =( divide( Y, Y ), divide( Z, Z ) ) ] )
% 0.82/1.16 .
% 0.82/1.16 clause( 25, [ =( divide( X, multiply( Z, inverse( Z ) ) ), X ) ] )
% 0.82/1.16 .
% 0.82/1.16 clause( 27, [ =( divide( Z, divide( Z, X ) ), X ) ] )
% 0.82/1.16 .
% 0.82/1.16 clause( 33, [ =( divide( X, divide( Z, Z ) ), X ) ] )
% 0.82/1.16 .
% 0.82/1.16 clause( 48, [ =( multiply( divide( Y, Y ), X ), X ) ] )
% 0.82/1.16 .
% 0.82/1.16 clause( 56, [ =( inverse( inverse( Y ) ), Y ) ] )
% 0.82/1.16 .
% 0.82/1.16 clause( 60, [ =( multiply( inverse( X ), X ), divide( Y, Y ) ) ] )
% 0.82/1.16 .
% 0.82/1.16 clause( 70, [] )
% 0.82/1.16 .
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 % SZS output end Refutation
% 0.82/1.16 found a proof!
% 0.82/1.16
% 0.82/1.16 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.82/1.16
% 0.82/1.16 initialclauses(
% 0.82/1.16 [ clause( 72, [ =( divide( X, divide( divide( X, Y ), divide( Z, Y ) ) ), Z
% 0.82/1.16 ) ] )
% 0.82/1.16 , clause( 73, [ =( multiply( X, Y ), divide( X, divide( divide( Z, Z ), Y )
% 0.82/1.16 ) ) ] )
% 0.82/1.16 , clause( 74, [ =( inverse( X ), divide( divide( Y, Y ), X ) ) ] )
% 0.82/1.16 , clause( 75, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) )
% 0.82/1.16 ] )
% 0.82/1.16 ] ).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 subsumption(
% 0.82/1.16 clause( 0, [ =( divide( X, divide( divide( X, Y ), divide( Z, Y ) ) ), Z )
% 0.82/1.16 ] )
% 0.82/1.16 , clause( 72, [ =( divide( X, divide( divide( X, Y ), divide( Z, Y ) ) ), Z
% 0.82/1.16 ) ] )
% 0.82/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.82/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 eqswap(
% 0.82/1.16 clause( 78, [ =( divide( X, divide( divide( Z, Z ), Y ) ), multiply( X, Y )
% 0.82/1.16 ) ] )
% 0.82/1.16 , clause( 73, [ =( multiply( X, Y ), divide( X, divide( divide( Z, Z ), Y )
% 0.82/1.16 ) ) ] )
% 0.82/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 subsumption(
% 0.82/1.16 clause( 1, [ =( divide( X, divide( divide( Z, Z ), Y ) ), multiply( X, Y )
% 0.82/1.16 ) ] )
% 0.82/1.16 , clause( 78, [ =( divide( X, divide( divide( Z, Z ), Y ) ), multiply( X, Y
% 0.82/1.16 ) ) ] )
% 0.82/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.82/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 eqswap(
% 0.82/1.16 clause( 81, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.82/1.16 , clause( 74, [ =( inverse( X ), divide( divide( Y, Y ), X ) ) ] )
% 0.82/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 subsumption(
% 0.82/1.16 clause( 2, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.82/1.16 , clause( 81, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.82/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.82/1.16 )] ) ).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 subsumption(
% 0.82/1.16 clause( 3, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ) ]
% 0.82/1.16 )
% 0.82/1.16 , clause( 75, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) )
% 0.82/1.16 ] )
% 0.82/1.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 eqswap(
% 0.82/1.16 clause( 86, [ =( inverse( Y ), divide( divide( X, X ), Y ) ) ] )
% 0.82/1.16 , clause( 2, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.82/1.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 paramod(
% 0.82/1.16 clause( 89, [ =( inverse( X ), divide( inverse( divide( Y, Y ) ), X ) ) ]
% 0.82/1.16 )
% 0.82/1.16 , clause( 2, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.82/1.16 , 0, clause( 86, [ =( inverse( Y ), divide( divide( X, X ), Y ) ) ] )
% 0.82/1.16 , 0, 4, substitution( 0, [ :=( X, divide( Y, Y ) ), :=( Y, Y )] ),
% 0.82/1.16 substitution( 1, [ :=( X, divide( Y, Y ) ), :=( Y, X )] )).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 eqswap(
% 0.82/1.16 clause( 90, [ =( divide( inverse( divide( Y, Y ) ), X ), inverse( X ) ) ]
% 0.82/1.16 )
% 0.82/1.16 , clause( 89, [ =( inverse( X ), divide( inverse( divide( Y, Y ) ), X ) ) ]
% 0.82/1.16 )
% 0.82/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 subsumption(
% 0.82/1.16 clause( 4, [ =( divide( inverse( divide( X, X ) ), Y ), inverse( Y ) ) ] )
% 0.82/1.16 , clause( 90, [ =( divide( inverse( divide( Y, Y ) ), X ), inverse( X ) ) ]
% 0.82/1.16 )
% 0.82/1.16 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.82/1.16 )] ) ).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 eqswap(
% 0.82/1.16 clause( 91, [ =( inverse( Y ), divide( inverse( divide( X, X ) ), Y ) ) ]
% 0.82/1.16 )
% 0.82/1.16 , clause( 4, [ =( divide( inverse( divide( X, X ) ), Y ), inverse( Y ) ) ]
% 0.82/1.16 )
% 0.82/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 paramod(
% 0.82/1.16 clause( 94, [ =( inverse( X ), divide( inverse( inverse( inverse( divide( Y
% 0.82/1.16 , Y ) ) ) ), X ) ) ] )
% 0.82/1.16 , clause( 4, [ =( divide( inverse( divide( X, X ) ), Y ), inverse( Y ) ) ]
% 0.82/1.16 )
% 0.82/1.16 , 0, clause( 91, [ =( inverse( Y ), divide( inverse( divide( X, X ) ), Y )
% 0.82/1.16 ) ] )
% 0.82/1.16 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, inverse( divide( Y, Y ) ) )] )
% 0.82/1.16 , substitution( 1, [ :=( X, inverse( divide( Y, Y ) ) ), :=( Y, X )] )
% 0.82/1.16 ).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 eqswap(
% 0.82/1.16 clause( 95, [ =( divide( inverse( inverse( inverse( divide( Y, Y ) ) ) ), X
% 0.82/1.16 ), inverse( X ) ) ] )
% 0.82/1.16 , clause( 94, [ =( inverse( X ), divide( inverse( inverse( inverse( divide(
% 0.82/1.16 Y, Y ) ) ) ), X ) ) ] )
% 0.82/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 subsumption(
% 0.82/1.16 clause( 5, [ =( divide( inverse( inverse( inverse( divide( X, X ) ) ) ), Y
% 0.82/1.16 ), inverse( Y ) ) ] )
% 0.82/1.16 , clause( 95, [ =( divide( inverse( inverse( inverse( divide( Y, Y ) ) ) )
% 0.82/1.16 , X ), inverse( X ) ) ] )
% 0.82/1.16 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.82/1.16 )] ) ).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 paramod(
% 0.82/1.16 clause( 98, [ =( divide( X, inverse( Z ) ), multiply( X, Z ) ) ] )
% 0.82/1.16 , clause( 2, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.82/1.16 , 0, clause( 1, [ =( divide( X, divide( divide( Z, Z ), Y ) ), multiply( X
% 0.82/1.16 , Y ) ) ] )
% 0.82/1.16 , 0, 3, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.82/1.16 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 subsumption(
% 0.82/1.16 clause( 9, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.82/1.16 , clause( 98, [ =( divide( X, inverse( Z ) ), multiply( X, Z ) ) ] )
% 0.82/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.82/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 eqswap(
% 0.82/1.16 clause( 101, [ =( Z, divide( X, divide( divide( X, Y ), divide( Z, Y ) ) )
% 0.82/1.16 ) ] )
% 0.82/1.16 , clause( 0, [ =( divide( X, divide( divide( X, Y ), divide( Z, Y ) ) ), Z
% 0.82/1.16 ) ] )
% 0.82/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 paramod(
% 0.82/1.16 clause( 105, [ =( X, divide( Y, inverse( divide( X, Y ) ) ) ) ] )
% 0.82/1.16 , clause( 2, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.82/1.16 , 0, clause( 101, [ =( Z, divide( X, divide( divide( X, Y ), divide( Z, Y )
% 0.82/1.16 ) ) ) ] )
% 0.82/1.16 , 0, 4, substitution( 0, [ :=( X, divide( X, Y ) ), :=( Y, Y )] ),
% 0.82/1.16 substitution( 1, [ :=( X, Y ), :=( Y, Y ), :=( Z, X )] )).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 paramod(
% 0.82/1.16 clause( 111, [ =( X, multiply( Y, divide( X, Y ) ) ) ] )
% 0.82/1.16 , clause( 9, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.82/1.16 , 0, clause( 105, [ =( X, divide( Y, inverse( divide( X, Y ) ) ) ) ] )
% 0.82/1.16 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, divide( X, Y ) )] ),
% 0.82/1.16 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 eqswap(
% 0.82/1.16 clause( 112, [ =( multiply( Y, divide( X, Y ) ), X ) ] )
% 0.82/1.16 , clause( 111, [ =( X, multiply( Y, divide( X, Y ) ) ) ] )
% 0.82/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 subsumption(
% 0.82/1.16 clause( 16, [ =( multiply( X, divide( Y, X ) ), Y ) ] )
% 0.82/1.16 , clause( 112, [ =( multiply( Y, divide( X, Y ) ), X ) ] )
% 0.82/1.16 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.82/1.16 )] ) ).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 eqswap(
% 0.82/1.16 clause( 114, [ =( Y, multiply( X, divide( Y, X ) ) ) ] )
% 0.82/1.16 , clause( 16, [ =( multiply( X, divide( Y, X ) ), Y ) ] )
% 0.82/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 paramod(
% 0.82/1.16 clause( 115, [ =( divide( X, X ), multiply( Y, inverse( Y ) ) ) ] )
% 0.82/1.16 , clause( 2, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.82/1.16 , 0, clause( 114, [ =( Y, multiply( X, divide( Y, X ) ) ) ] )
% 0.82/1.16 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.82/1.16 :=( X, Y ), :=( Y, divide( X, X ) )] )).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 eqswap(
% 0.82/1.16 clause( 116, [ =( multiply( Y, inverse( Y ) ), divide( X, X ) ) ] )
% 0.82/1.16 , clause( 115, [ =( divide( X, X ), multiply( Y, inverse( Y ) ) ) ] )
% 0.82/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 subsumption(
% 0.82/1.16 clause( 21, [ =( multiply( Y, inverse( Y ) ), divide( X, X ) ) ] )
% 0.82/1.16 , clause( 116, [ =( multiply( Y, inverse( Y ) ), divide( X, X ) ) ] )
% 0.82/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.82/1.16 )] ) ).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 eqswap(
% 0.82/1.16 clause( 117, [ =( divide( Y, Y ), multiply( X, inverse( X ) ) ) ] )
% 0.82/1.16 , clause( 21, [ =( multiply( Y, inverse( Y ) ), divide( X, X ) ) ] )
% 0.82/1.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 paramod(
% 0.82/1.16 clause( 122, [ =( divide( X, X ), divide( Z, Z ) ) ] )
% 0.82/1.16 , clause( 21, [ =( multiply( Y, inverse( Y ) ), divide( X, X ) ) ] )
% 0.82/1.16 , 0, clause( 117, [ =( divide( Y, Y ), multiply( X, inverse( X ) ) ) ] )
% 0.82/1.16 , 0, 4, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.82/1.16 :=( X, Y ), :=( Y, X )] )).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 subsumption(
% 0.82/1.16 clause( 22, [ =( divide( Y, Y ), divide( Z, Z ) ) ] )
% 0.82/1.16 , clause( 122, [ =( divide( X, X ), divide( Z, Z ) ) ] )
% 0.82/1.16 , substitution( 0, [ :=( X, Y ), :=( Y, T ), :=( Z, Z )] ),
% 0.82/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 eqswap(
% 0.82/1.16 clause( 123, [ =( divide( Y, Y ), multiply( X, inverse( X ) ) ) ] )
% 0.82/1.16 , clause( 21, [ =( multiply( Y, inverse( Y ) ), divide( X, X ) ) ] )
% 0.82/1.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 eqswap(
% 0.82/1.16 clause( 124, [ =( Z, divide( X, divide( divide( X, Y ), divide( Z, Y ) ) )
% 0.82/1.16 ) ] )
% 0.82/1.16 , clause( 0, [ =( divide( X, divide( divide( X, Y ), divide( Z, Y ) ) ), Z
% 0.82/1.16 ) ] )
% 0.82/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 paramod(
% 0.82/1.16 clause( 125, [ =( X, divide( X, multiply( Z, inverse( Z ) ) ) ) ] )
% 0.82/1.16 , clause( 123, [ =( divide( Y, Y ), multiply( X, inverse( X ) ) ) ] )
% 0.82/1.16 , 0, clause( 124, [ =( Z, divide( X, divide( divide( X, Y ), divide( Z, Y )
% 0.82/1.16 ) ) ) ] )
% 0.82/1.16 , 0, 4, substitution( 0, [ :=( X, Z ), :=( Y, divide( X, Y ) )] ),
% 0.82/1.16 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, X )] )).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 eqswap(
% 0.82/1.16 clause( 128, [ =( divide( X, multiply( Y, inverse( Y ) ) ), X ) ] )
% 0.82/1.16 , clause( 125, [ =( X, divide( X, multiply( Z, inverse( Z ) ) ) ) ] )
% 0.82/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 subsumption(
% 0.82/1.16 clause( 25, [ =( divide( X, multiply( Z, inverse( Z ) ) ), X ) ] )
% 0.82/1.16 , clause( 128, [ =( divide( X, multiply( Y, inverse( Y ) ) ), X ) ] )
% 0.82/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Z )] ), permutation( 0, [ ==>( 0, 0
% 0.82/1.16 )] ) ).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 eqswap(
% 0.82/1.16 clause( 131, [ =( divide( Y, Y ), multiply( X, inverse( X ) ) ) ] )
% 0.82/1.16 , clause( 21, [ =( multiply( Y, inverse( Y ) ), divide( X, X ) ) ] )
% 0.82/1.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 eqswap(
% 0.82/1.16 clause( 132, [ =( Z, divide( X, divide( divide( X, Y ), divide( Z, Y ) ) )
% 0.82/1.16 ) ] )
% 0.82/1.16 , clause( 0, [ =( divide( X, divide( divide( X, Y ), divide( Z, Y ) ) ), Z
% 0.82/1.16 ) ] )
% 0.82/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 paramod(
% 0.82/1.16 clause( 136, [ =( X, divide( Y, divide( divide( Y, X ), multiply( Z,
% 0.82/1.16 inverse( Z ) ) ) ) ) ] )
% 0.82/1.16 , clause( 131, [ =( divide( Y, Y ), multiply( X, inverse( X ) ) ) ] )
% 0.82/1.16 , 0, clause( 132, [ =( Z, divide( X, divide( divide( X, Y ), divide( Z, Y )
% 0.82/1.16 ) ) ) ] )
% 0.82/1.16 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 0.82/1.16 :=( X, Y ), :=( Y, X ), :=( Z, X )] )).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 paramod(
% 0.82/1.16 clause( 137, [ =( X, divide( Y, divide( Y, X ) ) ) ] )
% 0.82/1.16 , clause( 25, [ =( divide( X, multiply( Z, inverse( Z ) ) ), X ) ] )
% 0.82/1.16 , 0, clause( 136, [ =( X, divide( Y, divide( divide( Y, X ), multiply( Z,
% 0.82/1.16 inverse( Z ) ) ) ) ) ] )
% 0.82/1.16 , 0, 4, substitution( 0, [ :=( X, divide( Y, X ) ), :=( Y, T ), :=( Z, Z )] )
% 0.82/1.16 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 eqswap(
% 0.82/1.16 clause( 138, [ =( divide( Y, divide( Y, X ) ), X ) ] )
% 0.82/1.16 , clause( 137, [ =( X, divide( Y, divide( Y, X ) ) ) ] )
% 0.82/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 subsumption(
% 0.82/1.16 clause( 27, [ =( divide( Z, divide( Z, X ) ), X ) ] )
% 0.82/1.16 , clause( 138, [ =( divide( Y, divide( Y, X ) ), X ) ] )
% 0.82/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Z )] ), permutation( 0, [ ==>( 0, 0
% 0.82/1.16 )] ) ).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 eqswap(
% 0.82/1.16 clause( 139, [ =( Z, divide( X, divide( divide( X, Y ), divide( Z, Y ) ) )
% 0.82/1.16 ) ] )
% 0.82/1.16 , clause( 0, [ =( divide( X, divide( divide( X, Y ), divide( Z, Y ) ) ), Z
% 0.82/1.16 ) ] )
% 0.82/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 paramod(
% 0.82/1.16 clause( 140, [ =( X, divide( X, divide( Z, Z ) ) ) ] )
% 0.82/1.16 , clause( 22, [ =( divide( Y, Y ), divide( Z, Z ) ) ] )
% 0.82/1.16 , 0, clause( 139, [ =( Z, divide( X, divide( divide( X, Y ), divide( Z, Y )
% 0.82/1.16 ) ) ) ] )
% 0.82/1.16 , 0, 4, substitution( 0, [ :=( X, T ), :=( Y, divide( X, Y ) ), :=( Z, Z )] )
% 0.82/1.16 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, X )] )).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 eqswap(
% 0.82/1.16 clause( 143, [ =( divide( X, divide( Y, Y ) ), X ) ] )
% 0.82/1.16 , clause( 140, [ =( X, divide( X, divide( Z, Z ) ) ) ] )
% 0.82/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 subsumption(
% 0.82/1.16 clause( 33, [ =( divide( X, divide( Z, Z ) ), X ) ] )
% 0.82/1.16 , clause( 143, [ =( divide( X, divide( Y, Y ) ), X ) ] )
% 0.82/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Z )] ), permutation( 0, [ ==>( 0, 0
% 0.82/1.16 )] ) ).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 eqswap(
% 0.82/1.16 clause( 147, [ =( Y, multiply( X, divide( Y, X ) ) ) ] )
% 0.82/1.16 , clause( 16, [ =( multiply( X, divide( Y, X ) ), Y ) ] )
% 0.82/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 paramod(
% 0.82/1.16 clause( 148, [ =( X, multiply( divide( Y, Y ), X ) ) ] )
% 0.82/1.16 , clause( 33, [ =( divide( X, divide( Z, Z ) ), X ) ] )
% 0.82/1.16 , 0, clause( 147, [ =( Y, multiply( X, divide( Y, X ) ) ) ] )
% 0.82/1.16 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.82/1.16 substitution( 1, [ :=( X, divide( Y, Y ) ), :=( Y, X )] )).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 eqswap(
% 0.82/1.16 clause( 149, [ =( multiply( divide( Y, Y ), X ), X ) ] )
% 0.82/1.16 , clause( 148, [ =( X, multiply( divide( Y, Y ), X ) ) ] )
% 0.82/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 subsumption(
% 0.82/1.16 clause( 48, [ =( multiply( divide( Y, Y ), X ), X ) ] )
% 0.82/1.16 , clause( 149, [ =( multiply( divide( Y, Y ), X ), X ) ] )
% 0.82/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.82/1.16 )] ) ).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 eqswap(
% 0.82/1.16 clause( 150, [ =( Y, divide( X, divide( X, Y ) ) ) ] )
% 0.82/1.16 , clause( 27, [ =( divide( Z, divide( Z, X ) ), X ) ] )
% 0.82/1.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 paramod(
% 0.82/1.16 clause( 154, [ =( X, divide( inverse( inverse( inverse( divide( Y, Y ) ) )
% 0.82/1.16 ), inverse( X ) ) ) ] )
% 0.82/1.16 , clause( 5, [ =( divide( inverse( inverse( inverse( divide( X, X ) ) ) ),
% 0.82/1.16 Y ), inverse( Y ) ) ] )
% 0.82/1.16 , 0, clause( 150, [ =( Y, divide( X, divide( X, Y ) ) ) ] )
% 0.82/1.16 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.82/1.16 :=( X, inverse( inverse( inverse( divide( Y, Y ) ) ) ) ), :=( Y, X )] )
% 0.82/1.16 ).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 paramod(
% 0.82/1.16 clause( 156, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.82/1.16 , clause( 5, [ =( divide( inverse( inverse( inverse( divide( X, X ) ) ) ),
% 0.82/1.16 Y ), inverse( Y ) ) ] )
% 0.82/1.16 , 0, clause( 154, [ =( X, divide( inverse( inverse( inverse( divide( Y, Y )
% 0.82/1.16 ) ) ), inverse( X ) ) ) ] )
% 0.82/1.16 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, inverse( X ) )] ),
% 0.82/1.16 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 eqswap(
% 0.82/1.16 clause( 157, [ =( inverse( inverse( X ) ), X ) ] )
% 0.82/1.16 , clause( 156, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.82/1.16 , 0, substitution( 0, [ :=( X, X )] )).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 subsumption(
% 0.82/1.16 clause( 56, [ =( inverse( inverse( Y ) ), Y ) ] )
% 0.82/1.16 , clause( 157, [ =( inverse( inverse( X ) ), X ) ] )
% 0.82/1.16 , substitution( 0, [ :=( X, Y )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 eqswap(
% 0.82/1.16 clause( 159, [ =( divide( Y, Y ), multiply( X, inverse( X ) ) ) ] )
% 0.82/1.16 , clause( 21, [ =( multiply( Y, inverse( Y ) ), divide( X, X ) ) ] )
% 0.82/1.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 paramod(
% 0.82/1.16 clause( 160, [ =( divide( X, X ), multiply( inverse( Y ), Y ) ) ] )
% 0.82/1.16 , clause( 56, [ =( inverse( inverse( Y ) ), Y ) ] )
% 0.82/1.16 , 0, clause( 159, [ =( divide( Y, Y ), multiply( X, inverse( X ) ) ) ] )
% 0.82/1.16 , 0, 7, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.82/1.16 :=( X, inverse( Y ) ), :=( Y, X )] )).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 eqswap(
% 0.82/1.16 clause( 161, [ =( multiply( inverse( Y ), Y ), divide( X, X ) ) ] )
% 0.82/1.16 , clause( 160, [ =( divide( X, X ), multiply( inverse( Y ), Y ) ) ] )
% 0.82/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 subsumption(
% 0.82/1.16 clause( 60, [ =( multiply( inverse( X ), X ), divide( Y, Y ) ) ] )
% 0.82/1.16 , clause( 161, [ =( multiply( inverse( Y ), Y ), divide( X, X ) ) ] )
% 0.82/1.16 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.82/1.16 )] ) ).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 eqswap(
% 0.82/1.16 clause( 163, [ ~( =( a2, multiply( multiply( inverse( b2 ), b2 ), a2 ) ) )
% 0.82/1.16 ] )
% 0.82/1.16 , clause( 3, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) )
% 0.82/1.16 ] )
% 0.82/1.16 , 0, substitution( 0, [] )).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 paramod(
% 0.82/1.16 clause( 165, [ ~( =( a2, multiply( divide( X, X ), a2 ) ) ) ] )
% 0.82/1.16 , clause( 60, [ =( multiply( inverse( X ), X ), divide( Y, Y ) ) ] )
% 0.82/1.16 , 0, clause( 163, [ ~( =( a2, multiply( multiply( inverse( b2 ), b2 ), a2 )
% 0.82/1.16 ) ) ] )
% 0.82/1.16 , 0, 4, substitution( 0, [ :=( X, b2 ), :=( Y, X )] ), substitution( 1, [] )
% 0.82/1.16 ).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 paramod(
% 0.82/1.16 clause( 166, [ ~( =( a2, a2 ) ) ] )
% 0.82/1.16 , clause( 48, [ =( multiply( divide( Y, Y ), X ), X ) ] )
% 0.82/1.16 , 0, clause( 165, [ ~( =( a2, multiply( divide( X, X ), a2 ) ) ) ] )
% 0.82/1.16 , 0, 3, substitution( 0, [ :=( X, a2 ), :=( Y, X )] ), substitution( 1, [
% 0.82/1.16 :=( X, X )] )).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 eqrefl(
% 0.82/1.16 clause( 167, [] )
% 0.82/1.16 , clause( 166, [ ~( =( a2, a2 ) ) ] )
% 0.82/1.16 , 0, substitution( 0, [] )).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 subsumption(
% 0.82/1.16 clause( 70, [] )
% 0.82/1.16 , clause( 167, [] )
% 0.82/1.16 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 end.
% 0.82/1.16
% 0.82/1.16 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.82/1.16
% 0.82/1.16 Memory use:
% 0.82/1.16
% 0.82/1.16 space for terms: 790
% 0.82/1.16 space for clauses: 7080
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 clauses generated: 278
% 0.82/1.16 clauses kept: 71
% 0.82/1.16 clauses selected: 16
% 0.82/1.16 clauses deleted: 2
% 0.82/1.16 clauses inuse deleted: 0
% 0.82/1.16
% 0.82/1.16 subsentry: 333
% 0.82/1.16 literals s-matched: 165
% 0.82/1.16 literals matched: 158
% 0.82/1.16 full subsumption: 0
% 0.82/1.16
% 0.82/1.16 checksum: 1079350053
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 Bliksem ended
%------------------------------------------------------------------------------