TSTP Solution File: GRP558-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP558-1 : 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 07:37:37 EDT 2022
% Result : Unsatisfiable 0.69s 1.10s
% Output : Refutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP558-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Mon Jun 13 16:40:38 EDT 2022
% 0.20/0.34 % CPUTime :
% 0.69/1.10 *** allocated 10000 integers for termspace/termends
% 0.69/1.10 *** allocated 10000 integers for clauses
% 0.69/1.10 *** allocated 10000 integers for justifications
% 0.69/1.10 Bliksem 1.12
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 Automatic Strategy Selection
% 0.69/1.10
% 0.69/1.10 Clauses:
% 0.69/1.10 [
% 0.69/1.10 [ =( divide( X, inverse( divide( divide( Y, Z ), divide( X, Z ) ) ) ), Y
% 0.69/1.10 ) ],
% 0.69/1.10 [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ],
% 0.69/1.10 [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ) ]
% 0.69/1.10 ] .
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 percentage equality = 1.000000, percentage horn = 1.000000
% 0.69/1.10 This is a pure equality problem
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 Options Used:
% 0.69/1.10
% 0.69/1.10 useres = 1
% 0.69/1.10 useparamod = 1
% 0.69/1.10 useeqrefl = 1
% 0.69/1.10 useeqfact = 1
% 0.69/1.10 usefactor = 1
% 0.69/1.10 usesimpsplitting = 0
% 0.69/1.10 usesimpdemod = 5
% 0.69/1.10 usesimpres = 3
% 0.69/1.10
% 0.69/1.10 resimpinuse = 1000
% 0.69/1.10 resimpclauses = 20000
% 0.69/1.10 substype = eqrewr
% 0.69/1.10 backwardsubs = 1
% 0.69/1.10 selectoldest = 5
% 0.69/1.10
% 0.69/1.10 litorderings [0] = split
% 0.69/1.10 litorderings [1] = extend the termordering, first sorting on arguments
% 0.69/1.10
% 0.69/1.10 termordering = kbo
% 0.69/1.10
% 0.69/1.10 litapriori = 0
% 0.69/1.10 termapriori = 1
% 0.69/1.10 litaposteriori = 0
% 0.69/1.10 termaposteriori = 0
% 0.69/1.10 demodaposteriori = 0
% 0.69/1.10 ordereqreflfact = 0
% 0.69/1.10
% 0.69/1.10 litselect = negord
% 0.69/1.10
% 0.69/1.10 maxweight = 15
% 0.69/1.10 maxdepth = 30000
% 0.69/1.10 maxlength = 115
% 0.69/1.10 maxnrvars = 195
% 0.69/1.10 excuselevel = 1
% 0.69/1.10 increasemaxweight = 1
% 0.69/1.10
% 0.69/1.10 maxselected = 10000000
% 0.69/1.10 maxnrclauses = 10000000
% 0.69/1.10
% 0.69/1.10 showgenerated = 0
% 0.69/1.10 showkept = 0
% 0.69/1.10 showselected = 0
% 0.69/1.10 showdeleted = 0
% 0.69/1.10 showresimp = 1
% 0.69/1.10 showstatus = 2000
% 0.69/1.10
% 0.69/1.10 prologoutput = 1
% 0.69/1.10 nrgoals = 5000000
% 0.69/1.10 totalproof = 1
% 0.69/1.10
% 0.69/1.10 Symbols occurring in the translation:
% 0.69/1.10
% 0.69/1.10 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.69/1.10 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.69/1.10 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.69/1.10 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.10 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.10 divide [42, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.69/1.10 inverse [43, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.69/1.10 multiply [44, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.69/1.10 b2 [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.69/1.10 a2 [46, 0] (w:1, o:12, a:1, s:1, b:0).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 Starting Search:
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 Bliksems!, er is een bewijs:
% 0.69/1.10 % SZS status Unsatisfiable
% 0.69/1.10 % SZS output start Refutation
% 0.69/1.10
% 0.69/1.10 clause( 0, [ =( divide( X, inverse( divide( divide( Y, Z ), divide( X, Z )
% 0.69/1.10 ) ) ), Y ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 1, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 2, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ) ]
% 0.69/1.10 )
% 0.69/1.10 .
% 0.69/1.10 clause( 3, [ =( multiply( X, divide( divide( Y, Z ), divide( X, Z ) ) ), Y
% 0.69/1.10 ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 4, [ =( multiply( Z, divide( multiply( X, Y ), multiply( Z, Y ) ) )
% 0.69/1.10 , X ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 5, [ =( multiply( T, divide( Y, multiply( T, divide( multiply( Y, Z
% 0.69/1.10 ), multiply( X, Z ) ) ) ) ), X ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 9, [ =( multiply( X, divide( Y, Y ) ), X ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 10, [ =( multiply( X, divide( Y, X ) ), Y ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 17, [ =( multiply( inverse( Y ), multiply( X, Y ) ), X ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 19, [ =( multiply( inverse( divide( Y, X ) ), Y ), X ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 25, [ =( multiply( inverse( X ), Y ), inverse( divide( X, Y ) ) ) ]
% 0.69/1.10 )
% 0.69/1.10 .
% 0.69/1.10 clause( 26, [ =( inverse( divide( divide( X, X ), Y ) ), Y ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 54, [] )
% 0.69/1.10 .
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 % SZS output end Refutation
% 0.69/1.10 found a proof!
% 0.69/1.10
% 0.69/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.10
% 0.69/1.10 initialclauses(
% 0.69/1.10 [ clause( 56, [ =( divide( X, inverse( divide( divide( Y, Z ), divide( X, Z
% 0.69/1.10 ) ) ) ), Y ) ] )
% 0.69/1.10 , clause( 57, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.69/1.10 , clause( 58, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) )
% 0.69/1.10 ] )
% 0.69/1.10 ] ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 0, [ =( divide( X, inverse( divide( divide( Y, Z ), divide( X, Z )
% 0.69/1.10 ) ) ), Y ) ] )
% 0.69/1.10 , clause( 56, [ =( divide( X, inverse( divide( divide( Y, Z ), divide( X, Z
% 0.69/1.10 ) ) ) ), Y ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.10 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 eqswap(
% 0.69/1.10 clause( 61, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.69/1.10 , clause( 57, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 1, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.69/1.10 , clause( 61, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.10 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 2, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ) ]
% 0.69/1.10 )
% 0.69/1.10 , clause( 58, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) )
% 0.69/1.10 ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 paramod(
% 0.69/1.10 clause( 67, [ =( multiply( X, divide( divide( Y, Z ), divide( X, Z ) ) ), Y
% 0.69/1.10 ) ] )
% 0.69/1.10 , clause( 1, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.69/1.10 , 0, clause( 0, [ =( divide( X, inverse( divide( divide( Y, Z ), divide( X
% 0.69/1.10 , Z ) ) ) ), Y ) ] )
% 0.69/1.10 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, divide( divide( Y, Z ),
% 0.69/1.10 divide( X, Z ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z,
% 0.69/1.10 Z )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 3, [ =( multiply( X, divide( divide( Y, Z ), divide( X, Z ) ) ), Y
% 0.69/1.10 ) ] )
% 0.69/1.10 , clause( 67, [ =( multiply( X, divide( divide( Y, Z ), divide( X, Z ) ) )
% 0.69/1.10 , Y ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.10 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 eqswap(
% 0.69/1.10 clause( 70, [ =( Y, multiply( X, divide( divide( Y, Z ), divide( X, Z ) ) )
% 0.69/1.10 ) ] )
% 0.69/1.10 , clause( 3, [ =( multiply( X, divide( divide( Y, Z ), divide( X, Z ) ) ),
% 0.69/1.10 Y ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 paramod(
% 0.69/1.10 clause( 76, [ =( X, multiply( Y, divide( divide( X, inverse( Z ) ),
% 0.69/1.10 multiply( Y, Z ) ) ) ) ] )
% 0.69/1.10 , clause( 1, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.69/1.10 , 0, clause( 70, [ =( Y, multiply( X, divide( divide( Y, Z ), divide( X, Z
% 0.69/1.10 ) ) ) ) ] )
% 0.69/1.10 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.69/1.10 :=( X, Y ), :=( Y, X ), :=( Z, inverse( Z ) )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 paramod(
% 0.69/1.10 clause( 78, [ =( X, multiply( Y, divide( multiply( X, Z ), multiply( Y, Z )
% 0.69/1.10 ) ) ) ] )
% 0.69/1.10 , clause( 1, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.69/1.10 , 0, clause( 76, [ =( X, multiply( Y, divide( divide( X, inverse( Z ) ),
% 0.69/1.10 multiply( Y, Z ) ) ) ) ] )
% 0.69/1.10 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [
% 0.69/1.10 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 eqswap(
% 0.69/1.10 clause( 79, [ =( multiply( Y, divide( multiply( X, Z ), multiply( Y, Z ) )
% 0.69/1.10 ), X ) ] )
% 0.69/1.10 , clause( 78, [ =( X, multiply( Y, divide( multiply( X, Z ), multiply( Y, Z
% 0.69/1.10 ) ) ) ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 4, [ =( multiply( Z, divide( multiply( X, Y ), multiply( Z, Y ) ) )
% 0.69/1.10 , X ) ] )
% 0.69/1.10 , clause( 79, [ =( multiply( Y, divide( multiply( X, Z ), multiply( Y, Z )
% 0.69/1.10 ) ), X ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.69/1.10 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 eqswap(
% 0.69/1.10 clause( 80, [ =( Y, multiply( X, divide( multiply( Y, Z ), multiply( X, Z )
% 0.69/1.10 ) ) ) ] )
% 0.69/1.10 , clause( 4, [ =( multiply( Z, divide( multiply( X, Y ), multiply( Z, Y ) )
% 0.69/1.10 ), X ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 paramod(
% 0.69/1.10 clause( 83, [ =( X, multiply( Y, divide( Z, multiply( Y, divide( multiply(
% 0.69/1.10 Z, T ), multiply( X, T ) ) ) ) ) ) ] )
% 0.69/1.10 , clause( 4, [ =( multiply( Z, divide( multiply( X, Y ), multiply( Z, Y ) )
% 0.69/1.10 ), X ) ] )
% 0.69/1.10 , 0, clause( 80, [ =( Y, multiply( X, divide( multiply( Y, Z ), multiply( X
% 0.69/1.10 , Z ) ) ) ) ] )
% 0.69/1.10 , 0, 5, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, X )] ),
% 0.69/1.10 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, divide( multiply( Z, T
% 0.69/1.10 ), multiply( X, T ) ) )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 eqswap(
% 0.69/1.10 clause( 85, [ =( multiply( Y, divide( Z, multiply( Y, divide( multiply( Z,
% 0.69/1.10 T ), multiply( X, T ) ) ) ) ), X ) ] )
% 0.69/1.10 , clause( 83, [ =( X, multiply( Y, divide( Z, multiply( Y, divide( multiply(
% 0.69/1.10 Z, T ), multiply( X, T ) ) ) ) ) ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.69/1.10 ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 5, [ =( multiply( T, divide( Y, multiply( T, divide( multiply( Y, Z
% 0.69/1.10 ), multiply( X, Z ) ) ) ) ), X ) ] )
% 0.69/1.10 , clause( 85, [ =( multiply( Y, divide( Z, multiply( Y, divide( multiply( Z
% 0.69/1.10 , T ), multiply( X, T ) ) ) ) ), X ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Y ), :=( T, Z )] ),
% 0.69/1.10 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 eqswap(
% 0.69/1.10 clause( 88, [ =( T, multiply( X, divide( Y, multiply( X, divide( multiply(
% 0.69/1.10 Y, Z ), multiply( T, Z ) ) ) ) ) ) ] )
% 0.69/1.10 , clause( 5, [ =( multiply( T, divide( Y, multiply( T, divide( multiply( Y
% 0.69/1.10 , Z ), multiply( X, Z ) ) ) ) ), X ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] )
% 0.69/1.10 ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 paramod(
% 0.69/1.10 clause( 93, [ =( X, multiply( X, divide( Y, Y ) ) ) ] )
% 0.69/1.10 , clause( 4, [ =( multiply( Z, divide( multiply( X, Y ), multiply( Z, Y ) )
% 0.69/1.10 ), X ) ] )
% 0.69/1.10 , 0, clause( 88, [ =( T, multiply( X, divide( Y, multiply( X, divide(
% 0.69/1.10 multiply( Y, Z ), multiply( T, Z ) ) ) ) ) ) ] )
% 0.69/1.10 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.69/1.10 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 eqswap(
% 0.69/1.10 clause( 96, [ =( multiply( X, divide( Y, Y ) ), X ) ] )
% 0.69/1.10 , clause( 93, [ =( X, multiply( X, divide( Y, Y ) ) ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 9, [ =( multiply( X, divide( Y, Y ) ), X ) ] )
% 0.69/1.10 , clause( 96, [ =( multiply( X, divide( Y, Y ) ), X ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.10 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 eqswap(
% 0.69/1.10 clause( 100, [ =( T, multiply( X, divide( Y, multiply( X, divide( multiply(
% 0.69/1.10 Y, Z ), multiply( T, Z ) ) ) ) ) ) ] )
% 0.69/1.10 , clause( 5, [ =( multiply( T, divide( Y, multiply( T, divide( multiply( Y
% 0.69/1.10 , Z ), multiply( X, Z ) ) ) ) ), X ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] )
% 0.69/1.10 ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 paramod(
% 0.69/1.10 clause( 101, [ =( X, multiply( Y, divide( X, Y ) ) ) ] )
% 0.69/1.10 , clause( 9, [ =( multiply( X, divide( Y, Y ) ), X ) ] )
% 0.69/1.10 , 0, clause( 100, [ =( T, multiply( X, divide( Y, multiply( X, divide(
% 0.69/1.10 multiply( Y, Z ), multiply( T, Z ) ) ) ) ) ) ] )
% 0.69/1.10 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, multiply( X, Z ) )] ),
% 0.69/1.10 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, X )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 eqswap(
% 0.69/1.10 clause( 105, [ =( multiply( Y, divide( X, Y ) ), X ) ] )
% 0.69/1.10 , clause( 101, [ =( X, multiply( Y, divide( X, Y ) ) ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 10, [ =( multiply( X, divide( Y, X ) ), Y ) ] )
% 0.69/1.10 , clause( 105, [ =( multiply( Y, divide( X, Y ) ), X ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.10 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 eqswap(
% 0.69/1.10 clause( 110, [ =( Y, multiply( X, divide( Y, X ) ) ) ] )
% 0.69/1.10 , clause( 10, [ =( multiply( X, divide( Y, X ) ), Y ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 paramod(
% 0.69/1.10 clause( 113, [ =( X, multiply( inverse( Y ), multiply( X, Y ) ) ) ] )
% 0.69/1.10 , clause( 1, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.69/1.10 , 0, clause( 110, [ =( Y, multiply( X, divide( Y, X ) ) ) ] )
% 0.69/1.10 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.69/1.10 :=( X, inverse( Y ) ), :=( Y, X )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 eqswap(
% 0.69/1.10 clause( 114, [ =( multiply( inverse( Y ), multiply( X, Y ) ), X ) ] )
% 0.69/1.10 , clause( 113, [ =( X, multiply( inverse( Y ), multiply( X, Y ) ) ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 17, [ =( multiply( inverse( Y ), multiply( X, Y ) ), X ) ] )
% 0.69/1.10 , clause( 114, [ =( multiply( inverse( Y ), multiply( X, Y ) ), X ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.10 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 eqswap(
% 0.69/1.10 clause( 116, [ =( Y, multiply( inverse( X ), multiply( Y, X ) ) ) ] )
% 0.69/1.10 , clause( 17, [ =( multiply( inverse( Y ), multiply( X, Y ) ), X ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 paramod(
% 0.69/1.10 clause( 117, [ =( X, multiply( inverse( divide( Y, X ) ), Y ) ) ] )
% 0.69/1.10 , clause( 10, [ =( multiply( X, divide( Y, X ) ), Y ) ] )
% 0.69/1.10 , 0, clause( 116, [ =( Y, multiply( inverse( X ), multiply( Y, X ) ) ) ] )
% 0.69/1.10 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.69/1.10 :=( X, divide( Y, X ) ), :=( Y, X )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 eqswap(
% 0.69/1.10 clause( 118, [ =( multiply( inverse( divide( Y, X ) ), Y ), X ) ] )
% 0.69/1.10 , clause( 117, [ =( X, multiply( inverse( divide( Y, X ) ), Y ) ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 19, [ =( multiply( inverse( divide( Y, X ) ), Y ), X ) ] )
% 0.69/1.10 , clause( 118, [ =( multiply( inverse( divide( Y, X ) ), Y ), X ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.10 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 eqswap(
% 0.69/1.10 clause( 120, [ =( Y, multiply( inverse( X ), multiply( Y, X ) ) ) ] )
% 0.69/1.10 , clause( 17, [ =( multiply( inverse( Y ), multiply( X, Y ) ), X ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 paramod(
% 0.69/1.10 clause( 121, [ =( inverse( divide( X, Y ) ), multiply( inverse( X ), Y ) )
% 0.69/1.10 ] )
% 0.69/1.10 , clause( 19, [ =( multiply( inverse( divide( Y, X ) ), Y ), X ) ] )
% 0.69/1.10 , 0, clause( 120, [ =( Y, multiply( inverse( X ), multiply( Y, X ) ) ) ] )
% 0.69/1.10 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.69/1.10 :=( X, X ), :=( Y, inverse( divide( X, Y ) ) )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 eqswap(
% 0.69/1.10 clause( 122, [ =( multiply( inverse( X ), Y ), inverse( divide( X, Y ) ) )
% 0.69/1.10 ] )
% 0.69/1.10 , clause( 121, [ =( inverse( divide( X, Y ) ), multiply( inverse( X ), Y )
% 0.69/1.10 ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 25, [ =( multiply( inverse( X ), Y ), inverse( divide( X, Y ) ) ) ]
% 0.69/1.10 )
% 0.69/1.10 , clause( 122, [ =( multiply( inverse( X ), Y ), inverse( divide( X, Y ) )
% 0.69/1.10 ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.10 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 eqswap(
% 0.69/1.10 clause( 123, [ =( Y, multiply( inverse( divide( X, Y ) ), X ) ) ] )
% 0.69/1.10 , clause( 19, [ =( multiply( inverse( divide( Y, X ) ), Y ), X ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 paramod(
% 0.69/1.10 clause( 125, [ =( X, inverse( divide( divide( Y, Y ), X ) ) ) ] )
% 0.69/1.10 , clause( 9, [ =( multiply( X, divide( Y, Y ) ), X ) ] )
% 0.69/1.10 , 0, clause( 123, [ =( Y, multiply( inverse( divide( X, Y ) ), X ) ) ] )
% 0.69/1.10 , 0, 2, substitution( 0, [ :=( X, inverse( divide( divide( Y, Y ), X ) ) )
% 0.69/1.10 , :=( Y, Y )] ), substitution( 1, [ :=( X, divide( Y, Y ) ), :=( Y, X )] )
% 0.69/1.10 ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 eqswap(
% 0.69/1.10 clause( 126, [ =( inverse( divide( divide( Y, Y ), X ) ), X ) ] )
% 0.69/1.10 , clause( 125, [ =( X, inverse( divide( divide( Y, Y ), X ) ) ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 26, [ =( inverse( divide( divide( X, X ), Y ) ), Y ) ] )
% 0.69/1.10 , clause( 126, [ =( inverse( divide( divide( Y, Y ), X ) ), X ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.10 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 eqswap(
% 0.69/1.10 clause( 128, [ ~( =( a2, multiply( multiply( inverse( b2 ), b2 ), a2 ) ) )
% 0.69/1.10 ] )
% 0.69/1.10 , clause( 2, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) )
% 0.69/1.10 ] )
% 0.69/1.10 , 0, substitution( 0, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 paramod(
% 0.69/1.10 clause( 131, [ ~( =( a2, multiply( inverse( divide( b2, b2 ) ), a2 ) ) ) ]
% 0.69/1.10 )
% 0.69/1.10 , clause( 25, [ =( multiply( inverse( X ), Y ), inverse( divide( X, Y ) ) )
% 0.69/1.10 ] )
% 0.69/1.10 , 0, clause( 128, [ ~( =( a2, multiply( multiply( inverse( b2 ), b2 ), a2 )
% 0.69/1.10 ) ) ] )
% 0.69/1.10 , 0, 4, substitution( 0, [ :=( X, b2 ), :=( Y, b2 )] ), substitution( 1, [] )
% 0.69/1.10 ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 paramod(
% 0.69/1.10 clause( 133, [ ~( =( a2, inverse( divide( divide( b2, b2 ), a2 ) ) ) ) ] )
% 0.69/1.10 , clause( 25, [ =( multiply( inverse( X ), Y ), inverse( divide( X, Y ) ) )
% 0.69/1.10 ] )
% 0.69/1.10 , 0, clause( 131, [ ~( =( a2, multiply( inverse( divide( b2, b2 ) ), a2 ) )
% 0.69/1.10 ) ] )
% 0.69/1.10 , 0, 3, substitution( 0, [ :=( X, divide( b2, b2 ) ), :=( Y, a2 )] ),
% 0.69/1.10 substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 paramod(
% 0.69/1.10 clause( 134, [ ~( =( a2, a2 ) ) ] )
% 0.69/1.10 , clause( 26, [ =( inverse( divide( divide( X, X ), Y ) ), Y ) ] )
% 0.69/1.10 , 0, clause( 133, [ ~( =( a2, inverse( divide( divide( b2, b2 ), a2 ) ) ) )
% 0.69/1.10 ] )
% 0.69/1.10 , 0, 3, substitution( 0, [ :=( X, b2 ), :=( Y, a2 )] ), substitution( 1, [] )
% 0.69/1.10 ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 eqrefl(
% 0.69/1.10 clause( 135, [] )
% 0.69/1.10 , clause( 134, [ ~( =( a2, a2 ) ) ] )
% 0.69/1.10 , 0, substitution( 0, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 54, [] )
% 0.69/1.10 , clause( 135, [] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 end.
% 0.69/1.10
% 0.69/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.10
% 0.69/1.10 Memory use:
% 0.69/1.10
% 0.69/1.10 space for terms: 675
% 0.69/1.10 space for clauses: 6233
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 clauses generated: 173
% 0.69/1.10 clauses kept: 55
% 0.69/1.10 clauses selected: 14
% 0.69/1.10 clauses deleted: 4
% 0.69/1.10 clauses inuse deleted: 0
% 0.69/1.10
% 0.69/1.10 subsentry: 232
% 0.69/1.10 literals s-matched: 79
% 0.69/1.10 literals matched: 63
% 0.69/1.10 full subsumption: 0
% 0.69/1.10
% 0.69/1.10 checksum: -464305044
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 Bliksem ended
%------------------------------------------------------------------------------