TSTP Solution File: GRP528-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP528-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n005.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 0.68s 1.08s
% Output : Refutation 0.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP528-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.33 % Computer : n005.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Tue Jun 14 06:09:24 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.68/1.08 *** allocated 10000 integers for termspace/termends
% 0.68/1.08 *** allocated 10000 integers for clauses
% 0.68/1.08 *** allocated 10000 integers for justifications
% 0.68/1.08 Bliksem 1.12
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 Automatic Strategy Selection
% 0.68/1.08
% 0.68/1.08 Clauses:
% 0.68/1.08 [
% 0.68/1.08 [ =( divide( X, divide( divide( X, Y ), divide( Z, Y ) ) ), Z ) ],
% 0.68/1.08 [ =( multiply( X, Y ), divide( X, divide( divide( Z, Z ), Y ) ) ) ],
% 0.68/1.08 [ =( inverse( X ), divide( divide( Y, Y ), X ) ) ],
% 0.68/1.08 [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ]
% 0.68/1.08 ] .
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 percentage equality = 1.000000, percentage horn = 1.000000
% 0.68/1.08 This is a pure equality problem
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 Options Used:
% 0.68/1.08
% 0.68/1.08 useres = 1
% 0.68/1.08 useparamod = 1
% 0.68/1.08 useeqrefl = 1
% 0.68/1.08 useeqfact = 1
% 0.68/1.08 usefactor = 1
% 0.68/1.08 usesimpsplitting = 0
% 0.68/1.08 usesimpdemod = 5
% 0.68/1.08 usesimpres = 3
% 0.68/1.08
% 0.68/1.08 resimpinuse = 1000
% 0.68/1.08 resimpclauses = 20000
% 0.68/1.08 substype = eqrewr
% 0.68/1.08 backwardsubs = 1
% 0.68/1.08 selectoldest = 5
% 0.68/1.08
% 0.68/1.08 litorderings [0] = split
% 0.68/1.08 litorderings [1] = extend the termordering, first sorting on arguments
% 0.68/1.08
% 0.68/1.08 termordering = kbo
% 0.68/1.08
% 0.68/1.08 litapriori = 0
% 0.68/1.08 termapriori = 1
% 0.68/1.08 litaposteriori = 0
% 0.68/1.08 termaposteriori = 0
% 0.68/1.08 demodaposteriori = 0
% 0.68/1.08 ordereqreflfact = 0
% 0.68/1.08
% 0.68/1.08 litselect = negord
% 0.68/1.08
% 0.68/1.08 maxweight = 15
% 0.68/1.08 maxdepth = 30000
% 0.68/1.08 maxlength = 115
% 0.68/1.08 maxnrvars = 195
% 0.68/1.08 excuselevel = 1
% 0.68/1.08 increasemaxweight = 1
% 0.68/1.08
% 0.68/1.08 maxselected = 10000000
% 0.68/1.08 maxnrclauses = 10000000
% 0.68/1.08
% 0.68/1.08 showgenerated = 0
% 0.68/1.08 showkept = 0
% 0.68/1.08 showselected = 0
% 0.68/1.08 showdeleted = 0
% 0.68/1.08 showresimp = 1
% 0.68/1.08 showstatus = 2000
% 0.68/1.08
% 0.68/1.08 prologoutput = 1
% 0.68/1.08 nrgoals = 5000000
% 0.68/1.08 totalproof = 1
% 0.68/1.08
% 0.68/1.08 Symbols occurring in the translation:
% 0.68/1.08
% 0.68/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.68/1.08 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.68/1.08 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.68/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.68/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.68/1.08 divide [41, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.68/1.08 multiply [43, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.68/1.08 inverse [44, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.68/1.08 a [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.68/1.08 b [46, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 Starting Search:
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 Bliksems!, er is een bewijs:
% 0.68/1.08 % SZS status Unsatisfiable
% 0.68/1.08 % SZS output start Refutation
% 0.68/1.08
% 0.68/1.08 clause( 0, [ =( divide( X, divide( divide( X, Y ), divide( Z, Y ) ) ), Z )
% 0.68/1.08 ] )
% 0.68/1.08 .
% 0.68/1.08 clause( 1, [ =( divide( X, divide( divide( Z, Z ), Y ) ), multiply( X, Y )
% 0.68/1.08 ) ] )
% 0.68/1.08 .
% 0.68/1.08 clause( 2, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.68/1.08 .
% 0.68/1.08 clause( 3, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.68/1.08 .
% 0.68/1.08 clause( 4, [ =( divide( inverse( divide( X, X ) ), Y ), inverse( Y ) ) ] )
% 0.68/1.08 .
% 0.68/1.08 clause( 5, [ =( divide( inverse( inverse( inverse( divide( X, X ) ) ) ), Y
% 0.68/1.08 ), inverse( Y ) ) ] )
% 0.68/1.08 .
% 0.68/1.08 clause( 9, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.68/1.08 .
% 0.68/1.08 clause( 16, [ =( multiply( X, divide( Y, X ) ), Y ) ] )
% 0.68/1.08 .
% 0.68/1.08 clause( 21, [ =( multiply( Y, inverse( Y ) ), divide( X, X ) ) ] )
% 0.68/1.08 .
% 0.68/1.08 clause( 25, [ =( divide( X, multiply( Z, inverse( Z ) ) ), X ) ] )
% 0.68/1.08 .
% 0.68/1.08 clause( 27, [ =( divide( Z, divide( Z, X ) ), X ) ] )
% 0.68/1.08 .
% 0.68/1.08 clause( 56, [ =( inverse( inverse( Y ) ), Y ) ] )
% 0.68/1.08 .
% 0.68/1.08 clause( 57, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 0.68/1.08 .
% 0.68/1.08 clause( 72, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 0.68/1.08 .
% 0.68/1.08 clause( 73, [ =( multiply( Y, inverse( X ) ), divide( Y, X ) ) ] )
% 0.68/1.08 .
% 0.68/1.08 clause( 77, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 0.68/1.08 .
% 0.68/1.08 clause( 79, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 0.68/1.08 .
% 0.68/1.08 clause( 82, [] )
% 0.68/1.08 .
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 % SZS output end Refutation
% 0.68/1.08 found a proof!
% 0.68/1.08
% 0.68/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.68/1.08
% 0.68/1.08 initialclauses(
% 0.68/1.08 [ clause( 84, [ =( divide( X, divide( divide( X, Y ), divide( Z, Y ) ) ), Z
% 0.68/1.08 ) ] )
% 0.68/1.08 , clause( 85, [ =( multiply( X, Y ), divide( X, divide( divide( Z, Z ), Y )
% 0.68/1.08 ) ) ] )
% 0.68/1.08 , clause( 86, [ =( inverse( X ), divide( divide( Y, Y ), X ) ) ] )
% 0.68/1.08 , clause( 87, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.68/1.08 ] ).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 subsumption(
% 0.68/1.08 clause( 0, [ =( divide( X, divide( divide( X, Y ), divide( Z, Y ) ) ), Z )
% 0.68/1.08 ] )
% 0.68/1.08 , clause( 84, [ =( divide( X, divide( divide( X, Y ), divide( Z, Y ) ) ), Z
% 0.68/1.08 ) ] )
% 0.68/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 eqswap(
% 0.68/1.08 clause( 90, [ =( divide( X, divide( divide( Z, Z ), Y ) ), multiply( X, Y )
% 0.68/1.08 ) ] )
% 0.68/1.08 , clause( 85, [ =( multiply( X, Y ), divide( X, divide( divide( Z, Z ), Y )
% 0.68/1.08 ) ) ] )
% 0.68/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 subsumption(
% 0.68/1.08 clause( 1, [ =( divide( X, divide( divide( Z, Z ), Y ) ), multiply( X, Y )
% 0.68/1.08 ) ] )
% 0.68/1.08 , clause( 90, [ =( divide( X, divide( divide( Z, Z ), Y ) ), multiply( X, Y
% 0.68/1.08 ) ) ] )
% 0.68/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 eqswap(
% 0.68/1.08 clause( 93, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.68/1.08 , clause( 86, [ =( inverse( X ), divide( divide( Y, Y ), X ) ) ] )
% 0.68/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 subsumption(
% 0.68/1.08 clause( 2, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.68/1.08 , clause( 93, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.68/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.68/1.08 )] ) ).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 subsumption(
% 0.68/1.08 clause( 3, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.68/1.08 , clause( 87, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.68/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 eqswap(
% 0.68/1.08 clause( 98, [ =( inverse( Y ), divide( divide( X, X ), Y ) ) ] )
% 0.68/1.08 , clause( 2, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.68/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 paramod(
% 0.68/1.08 clause( 101, [ =( inverse( X ), divide( inverse( divide( Y, Y ) ), X ) ) ]
% 0.68/1.08 )
% 0.68/1.08 , clause( 2, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.68/1.08 , 0, clause( 98, [ =( inverse( Y ), divide( divide( X, X ), Y ) ) ] )
% 0.68/1.08 , 0, 4, substitution( 0, [ :=( X, divide( Y, Y ) ), :=( Y, Y )] ),
% 0.68/1.08 substitution( 1, [ :=( X, divide( Y, Y ) ), :=( Y, X )] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 eqswap(
% 0.68/1.08 clause( 102, [ =( divide( inverse( divide( Y, Y ) ), X ), inverse( X ) ) ]
% 0.68/1.08 )
% 0.68/1.08 , clause( 101, [ =( inverse( X ), divide( inverse( divide( Y, Y ) ), X ) )
% 0.68/1.08 ] )
% 0.68/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 subsumption(
% 0.68/1.08 clause( 4, [ =( divide( inverse( divide( X, X ) ), Y ), inverse( Y ) ) ] )
% 0.68/1.08 , clause( 102, [ =( divide( inverse( divide( Y, Y ) ), X ), inverse( X ) )
% 0.68/1.08 ] )
% 0.68/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.68/1.08 )] ) ).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 eqswap(
% 0.68/1.08 clause( 103, [ =( inverse( Y ), divide( inverse( divide( X, X ) ), Y ) ) ]
% 0.68/1.08 )
% 0.68/1.08 , clause( 4, [ =( divide( inverse( divide( X, X ) ), Y ), inverse( Y ) ) ]
% 0.68/1.08 )
% 0.68/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 paramod(
% 0.68/1.08 clause( 106, [ =( inverse( X ), divide( inverse( inverse( inverse( divide(
% 0.68/1.08 Y, Y ) ) ) ), X ) ) ] )
% 0.68/1.08 , clause( 4, [ =( divide( inverse( divide( X, X ) ), Y ), inverse( Y ) ) ]
% 0.68/1.08 )
% 0.68/1.08 , 0, clause( 103, [ =( inverse( Y ), divide( inverse( divide( X, X ) ), Y )
% 0.68/1.08 ) ] )
% 0.68/1.08 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, inverse( divide( Y, Y ) ) )] )
% 0.68/1.08 , substitution( 1, [ :=( X, inverse( divide( Y, Y ) ) ), :=( Y, X )] )
% 0.68/1.08 ).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 eqswap(
% 0.68/1.08 clause( 107, [ =( divide( inverse( inverse( inverse( divide( Y, Y ) ) ) ),
% 0.68/1.08 X ), inverse( X ) ) ] )
% 0.68/1.08 , clause( 106, [ =( inverse( X ), divide( inverse( inverse( inverse( divide(
% 0.68/1.08 Y, Y ) ) ) ), X ) ) ] )
% 0.68/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 subsumption(
% 0.68/1.08 clause( 5, [ =( divide( inverse( inverse( inverse( divide( X, X ) ) ) ), Y
% 0.68/1.08 ), inverse( Y ) ) ] )
% 0.68/1.08 , clause( 107, [ =( divide( inverse( inverse( inverse( divide( Y, Y ) ) ) )
% 0.68/1.08 , X ), inverse( X ) ) ] )
% 0.68/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.68/1.08 )] ) ).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 paramod(
% 0.68/1.08 clause( 110, [ =( divide( X, inverse( Z ) ), multiply( X, Z ) ) ] )
% 0.68/1.08 , clause( 2, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.68/1.08 , 0, clause( 1, [ =( divide( X, divide( divide( Z, Z ), Y ) ), multiply( X
% 0.68/1.08 , Y ) ) ] )
% 0.68/1.08 , 0, 3, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.68/1.08 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 subsumption(
% 0.68/1.08 clause( 9, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.68/1.08 , clause( 110, [ =( divide( X, inverse( Z ) ), multiply( X, Z ) ) ] )
% 0.68/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.68/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 eqswap(
% 0.68/1.08 clause( 113, [ =( Z, divide( X, divide( divide( X, Y ), divide( Z, Y ) ) )
% 0.68/1.08 ) ] )
% 0.68/1.08 , clause( 0, [ =( divide( X, divide( divide( X, Y ), divide( Z, Y ) ) ), Z
% 0.68/1.08 ) ] )
% 0.68/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 paramod(
% 0.68/1.08 clause( 117, [ =( X, divide( Y, inverse( divide( X, Y ) ) ) ) ] )
% 0.68/1.08 , clause( 2, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.68/1.08 , 0, clause( 113, [ =( Z, divide( X, divide( divide( X, Y ), divide( Z, Y )
% 0.68/1.08 ) ) ) ] )
% 0.68/1.08 , 0, 4, substitution( 0, [ :=( X, divide( X, Y ) ), :=( Y, Y )] ),
% 0.68/1.08 substitution( 1, [ :=( X, Y ), :=( Y, Y ), :=( Z, X )] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 paramod(
% 0.68/1.08 clause( 123, [ =( X, multiply( Y, divide( X, Y ) ) ) ] )
% 0.68/1.08 , clause( 9, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.68/1.08 , 0, clause( 117, [ =( X, divide( Y, inverse( divide( X, Y ) ) ) ) ] )
% 0.68/1.08 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, divide( X, Y ) )] ),
% 0.68/1.08 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 eqswap(
% 0.68/1.08 clause( 124, [ =( multiply( Y, divide( X, Y ) ), X ) ] )
% 0.68/1.08 , clause( 123, [ =( X, multiply( Y, divide( X, Y ) ) ) ] )
% 0.68/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 subsumption(
% 0.68/1.08 clause( 16, [ =( multiply( X, divide( Y, X ) ), Y ) ] )
% 0.68/1.08 , clause( 124, [ =( multiply( Y, divide( X, Y ) ), X ) ] )
% 0.68/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.68/1.08 )] ) ).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 eqswap(
% 0.68/1.08 clause( 126, [ =( Y, multiply( X, divide( Y, X ) ) ) ] )
% 0.68/1.08 , clause( 16, [ =( multiply( X, divide( Y, X ) ), Y ) ] )
% 0.68/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 paramod(
% 0.68/1.08 clause( 127, [ =( divide( X, X ), multiply( Y, inverse( Y ) ) ) ] )
% 0.68/1.08 , clause( 2, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.68/1.08 , 0, clause( 126, [ =( Y, multiply( X, divide( Y, X ) ) ) ] )
% 0.68/1.08 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.68/1.08 :=( X, Y ), :=( Y, divide( X, X ) )] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 eqswap(
% 0.68/1.08 clause( 128, [ =( multiply( Y, inverse( Y ) ), divide( X, X ) ) ] )
% 0.68/1.08 , clause( 127, [ =( divide( X, X ), multiply( Y, inverse( Y ) ) ) ] )
% 0.68/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 subsumption(
% 0.68/1.08 clause( 21, [ =( multiply( Y, inverse( Y ) ), divide( X, X ) ) ] )
% 0.68/1.08 , clause( 128, [ =( multiply( Y, inverse( Y ) ), divide( X, X ) ) ] )
% 0.68/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.68/1.08 )] ) ).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 eqswap(
% 0.68/1.08 clause( 129, [ =( divide( Y, Y ), multiply( X, inverse( X ) ) ) ] )
% 0.68/1.08 , clause( 21, [ =( multiply( Y, inverse( Y ) ), divide( X, X ) ) ] )
% 0.68/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 eqswap(
% 0.68/1.08 clause( 130, [ =( Z, divide( X, divide( divide( X, Y ), divide( Z, Y ) ) )
% 0.68/1.08 ) ] )
% 0.68/1.08 , clause( 0, [ =( divide( X, divide( divide( X, Y ), divide( Z, Y ) ) ), Z
% 0.68/1.08 ) ] )
% 0.68/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 paramod(
% 0.68/1.08 clause( 131, [ =( X, divide( X, multiply( Z, inverse( Z ) ) ) ) ] )
% 0.68/1.08 , clause( 129, [ =( divide( Y, Y ), multiply( X, inverse( X ) ) ) ] )
% 0.68/1.08 , 0, clause( 130, [ =( Z, divide( X, divide( divide( X, Y ), divide( Z, Y )
% 0.68/1.08 ) ) ) ] )
% 0.68/1.08 , 0, 4, substitution( 0, [ :=( X, Z ), :=( Y, divide( X, Y ) )] ),
% 0.68/1.08 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, X )] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 eqswap(
% 0.68/1.08 clause( 134, [ =( divide( X, multiply( Y, inverse( Y ) ) ), X ) ] )
% 0.68/1.08 , clause( 131, [ =( X, divide( X, multiply( Z, inverse( Z ) ) ) ) ] )
% 0.68/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 subsumption(
% 0.68/1.08 clause( 25, [ =( divide( X, multiply( Z, inverse( Z ) ) ), X ) ] )
% 0.68/1.08 , clause( 134, [ =( divide( X, multiply( Y, inverse( Y ) ) ), X ) ] )
% 0.68/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Z )] ), permutation( 0, [ ==>( 0, 0
% 0.68/1.08 )] ) ).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 eqswap(
% 0.68/1.08 clause( 137, [ =( divide( Y, Y ), multiply( X, inverse( X ) ) ) ] )
% 0.68/1.08 , clause( 21, [ =( multiply( Y, inverse( Y ) ), divide( X, X ) ) ] )
% 0.68/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 eqswap(
% 0.68/1.08 clause( 138, [ =( Z, divide( X, divide( divide( X, Y ), divide( Z, Y ) ) )
% 0.68/1.08 ) ] )
% 0.68/1.08 , clause( 0, [ =( divide( X, divide( divide( X, Y ), divide( Z, Y ) ) ), Z
% 0.68/1.08 ) ] )
% 0.68/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 paramod(
% 0.68/1.08 clause( 142, [ =( X, divide( Y, divide( divide( Y, X ), multiply( Z,
% 0.68/1.08 inverse( Z ) ) ) ) ) ] )
% 0.68/1.08 , clause( 137, [ =( divide( Y, Y ), multiply( X, inverse( X ) ) ) ] )
% 0.68/1.08 , 0, clause( 138, [ =( Z, divide( X, divide( divide( X, Y ), divide( Z, Y )
% 0.68/1.08 ) ) ) ] )
% 0.68/1.08 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 0.68/1.08 :=( X, Y ), :=( Y, X ), :=( Z, X )] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 paramod(
% 0.68/1.08 clause( 143, [ =( X, divide( Y, divide( Y, X ) ) ) ] )
% 0.68/1.08 , clause( 25, [ =( divide( X, multiply( Z, inverse( Z ) ) ), X ) ] )
% 0.68/1.08 , 0, clause( 142, [ =( X, divide( Y, divide( divide( Y, X ), multiply( Z,
% 0.68/1.08 inverse( Z ) ) ) ) ) ] )
% 0.68/1.08 , 0, 4, substitution( 0, [ :=( X, divide( Y, X ) ), :=( Y, T ), :=( Z, Z )] )
% 0.68/1.08 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 eqswap(
% 0.68/1.08 clause( 144, [ =( divide( Y, divide( Y, X ) ), X ) ] )
% 0.68/1.08 , clause( 143, [ =( X, divide( Y, divide( Y, X ) ) ) ] )
% 0.68/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 subsumption(
% 0.68/1.08 clause( 27, [ =( divide( Z, divide( Z, X ) ), X ) ] )
% 0.68/1.08 , clause( 144, [ =( divide( Y, divide( Y, X ) ), X ) ] )
% 0.68/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Z )] ), permutation( 0, [ ==>( 0, 0
% 0.68/1.08 )] ) ).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 eqswap(
% 0.68/1.08 clause( 145, [ =( Y, divide( X, divide( X, Y ) ) ) ] )
% 0.68/1.08 , clause( 27, [ =( divide( Z, divide( Z, X ) ), X ) ] )
% 0.68/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 paramod(
% 0.68/1.08 clause( 149, [ =( X, divide( inverse( inverse( inverse( divide( Y, Y ) ) )
% 0.68/1.08 ), inverse( X ) ) ) ] )
% 0.68/1.08 , clause( 5, [ =( divide( inverse( inverse( inverse( divide( X, X ) ) ) ),
% 0.68/1.08 Y ), inverse( Y ) ) ] )
% 0.68/1.08 , 0, clause( 145, [ =( Y, divide( X, divide( X, Y ) ) ) ] )
% 0.68/1.08 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.68/1.08 :=( X, inverse( inverse( inverse( divide( Y, Y ) ) ) ) ), :=( Y, X )] )
% 0.68/1.08 ).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 paramod(
% 0.68/1.08 clause( 151, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.68/1.08 , clause( 5, [ =( divide( inverse( inverse( inverse( divide( X, X ) ) ) ),
% 0.68/1.08 Y ), inverse( Y ) ) ] )
% 0.68/1.08 , 0, clause( 149, [ =( X, divide( inverse( inverse( inverse( divide( Y, Y )
% 0.68/1.08 ) ) ), inverse( X ) ) ) ] )
% 0.68/1.08 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, inverse( X ) )] ),
% 0.68/1.08 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 eqswap(
% 0.68/1.08 clause( 152, [ =( inverse( inverse( X ) ), X ) ] )
% 0.68/1.08 , clause( 151, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.68/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 subsumption(
% 0.68/1.08 clause( 56, [ =( inverse( inverse( Y ) ), Y ) ] )
% 0.68/1.08 , clause( 152, [ =( inverse( inverse( X ) ), X ) ] )
% 0.68/1.08 , substitution( 0, [ :=( X, Y )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 eqswap(
% 0.68/1.08 clause( 154, [ =( Y, multiply( X, divide( Y, X ) ) ) ] )
% 0.68/1.08 , clause( 16, [ =( multiply( X, divide( Y, X ) ), Y ) ] )
% 0.68/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 paramod(
% 0.68/1.08 clause( 155, [ =( X, multiply( divide( X, Y ), Y ) ) ] )
% 0.68/1.08 , clause( 27, [ =( divide( Z, divide( Z, X ) ), X ) ] )
% 0.68/1.08 , 0, clause( 154, [ =( Y, multiply( X, divide( Y, X ) ) ) ] )
% 0.68/1.08 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.68/1.08 substitution( 1, [ :=( X, divide( X, Y ) ), :=( Y, X )] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 eqswap(
% 0.68/1.08 clause( 156, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 0.68/1.08 , clause( 155, [ =( X, multiply( divide( X, Y ), Y ) ) ] )
% 0.68/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 subsumption(
% 0.68/1.08 clause( 57, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 0.68/1.08 , clause( 156, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 0.68/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.68/1.08 )] ) ).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 eqswap(
% 0.68/1.08 clause( 158, [ =( X, multiply( divide( X, Y ), Y ) ) ] )
% 0.68/1.08 , clause( 57, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 0.68/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 paramod(
% 0.68/1.08 clause( 161, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.68/1.08 , clause( 9, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.68/1.08 , 0, clause( 158, [ =( X, multiply( divide( X, Y ), Y ) ) ] )
% 0.68/1.08 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.68/1.08 :=( X, X ), :=( Y, inverse( Y ) )] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 eqswap(
% 0.68/1.08 clause( 162, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 0.68/1.08 , clause( 161, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.68/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 subsumption(
% 0.68/1.08 clause( 72, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 0.68/1.08 , clause( 162, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 0.68/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.68/1.08 )] ) ).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 eqswap(
% 0.68/1.08 clause( 164, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.68/1.08 , clause( 9, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.68/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 paramod(
% 0.68/1.08 clause( 165, [ =( multiply( X, inverse( Y ) ), divide( X, Y ) ) ] )
% 0.68/1.08 , clause( 56, [ =( inverse( inverse( Y ) ), Y ) ] )
% 0.68/1.08 , 0, clause( 164, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.68/1.08 , 0, 7, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.68/1.08 :=( X, X ), :=( Y, inverse( Y ) )] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 subsumption(
% 0.68/1.08 clause( 73, [ =( multiply( Y, inverse( X ) ), divide( Y, X ) ) ] )
% 0.68/1.08 , clause( 165, [ =( multiply( X, inverse( Y ) ), divide( X, Y ) ) ] )
% 0.68/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.68/1.08 )] ) ).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 paramod(
% 0.68/1.08 clause( 169, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 0.68/1.08 , clause( 73, [ =( multiply( Y, inverse( X ) ), divide( Y, X ) ) ] )
% 0.68/1.08 , 0, clause( 72, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 0.68/1.08 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, multiply( X, Y ) )] ),
% 0.68/1.08 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 subsumption(
% 0.68/1.08 clause( 77, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 0.68/1.08 , clause( 169, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 0.68/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.68/1.08 )] ) ).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 eqswap(
% 0.68/1.08 clause( 172, [ =( Y, multiply( X, divide( Y, X ) ) ) ] )
% 0.68/1.08 , clause( 16, [ =( multiply( X, divide( Y, X ) ), Y ) ] )
% 0.68/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 paramod(
% 0.68/1.08 clause( 175, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.68/1.08 , clause( 77, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 0.68/1.08 , 0, clause( 172, [ =( Y, multiply( X, divide( Y, X ) ) ) ] )
% 0.68/1.08 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.68/1.08 :=( X, Y ), :=( Y, multiply( X, Y ) )] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 subsumption(
% 0.68/1.08 clause( 79, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 0.68/1.08 , clause( 175, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.68/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.68/1.08 )] ) ).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 eqswap(
% 0.68/1.08 clause( 176, [ ~( =( multiply( b, a ), multiply( a, b ) ) ) ] )
% 0.68/1.08 , clause( 3, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.68/1.08 , 0, substitution( 0, [] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 paramod(
% 0.68/1.08 clause( 178, [ ~( =( multiply( b, a ), multiply( b, a ) ) ) ] )
% 0.68/1.08 , clause( 79, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 0.68/1.08 , 0, clause( 176, [ ~( =( multiply( b, a ), multiply( a, b ) ) ) ] )
% 0.68/1.08 , 0, 5, substitution( 0, [ :=( X, b ), :=( Y, a )] ), substitution( 1, [] )
% 0.68/1.08 ).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 eqrefl(
% 0.68/1.08 clause( 181, [] )
% 0.68/1.08 , clause( 178, [ ~( =( multiply( b, a ), multiply( b, a ) ) ) ] )
% 0.68/1.08 , 0, substitution( 0, [] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 subsumption(
% 0.68/1.08 clause( 82, [] )
% 0.68/1.08 , clause( 181, [] )
% 0.68/1.08 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 end.
% 0.68/1.08
% 0.68/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.68/1.08
% 0.68/1.08 Memory use:
% 0.68/1.08
% 0.68/1.08 space for terms: 891
% 0.68/1.08 space for clauses: 8077
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 clauses generated: 421
% 0.68/1.08 clauses kept: 83
% 0.68/1.08 clauses selected: 20
% 0.68/1.08 clauses deleted: 4
% 0.68/1.08 clauses inuse deleted: 0
% 0.68/1.08
% 0.68/1.08 subsentry: 408
% 0.68/1.08 literals s-matched: 220
% 0.68/1.08 literals matched: 220
% 0.68/1.08 full subsumption: 0
% 0.68/1.08
% 0.68/1.08 checksum: -1663639995
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 Bliksem ended
%------------------------------------------------------------------------------