TSTP Solution File: GRP557-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP557-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n028.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 07:37:36 EDT 2022
% Result : Unsatisfiable 0.69s 1.08s
% Output : Refutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP557-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : bliksem %s
% 0.12/0.33 % Computer : n028.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 00:39:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.69/1.08 *** allocated 10000 integers for termspace/termends
% 0.69/1.08 *** allocated 10000 integers for clauses
% 0.69/1.08 *** allocated 10000 integers for justifications
% 0.69/1.08 Bliksem 1.12
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 Automatic Strategy Selection
% 0.69/1.08
% 0.69/1.08 Clauses:
% 0.69/1.08 [
% 0.69/1.08 [ =( divide( X, inverse( divide( divide( Y, Z ), divide( X, Z ) ) ) ), Y
% 0.69/1.08 ) ],
% 0.69/1.08 [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ],
% 0.69/1.08 [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1 ) ) )
% 0.69/1.08 ]
% 0.69/1.08 ] .
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 percentage equality = 1.000000, percentage horn = 1.000000
% 0.69/1.08 This is a pure equality problem
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 Options Used:
% 0.69/1.08
% 0.69/1.08 useres = 1
% 0.69/1.08 useparamod = 1
% 0.69/1.08 useeqrefl = 1
% 0.69/1.08 useeqfact = 1
% 0.69/1.08 usefactor = 1
% 0.69/1.08 usesimpsplitting = 0
% 0.69/1.08 usesimpdemod = 5
% 0.69/1.08 usesimpres = 3
% 0.69/1.08
% 0.69/1.08 resimpinuse = 1000
% 0.69/1.08 resimpclauses = 20000
% 0.69/1.08 substype = eqrewr
% 0.69/1.08 backwardsubs = 1
% 0.69/1.08 selectoldest = 5
% 0.69/1.08
% 0.69/1.08 litorderings [0] = split
% 0.69/1.08 litorderings [1] = extend the termordering, first sorting on arguments
% 0.69/1.08
% 0.69/1.08 termordering = kbo
% 0.69/1.08
% 0.69/1.08 litapriori = 0
% 0.69/1.08 termapriori = 1
% 0.69/1.08 litaposteriori = 0
% 0.69/1.08 termaposteriori = 0
% 0.69/1.08 demodaposteriori = 0
% 0.69/1.08 ordereqreflfact = 0
% 0.69/1.08
% 0.69/1.08 litselect = negord
% 0.69/1.08
% 0.69/1.08 maxweight = 15
% 0.69/1.08 maxdepth = 30000
% 0.69/1.08 maxlength = 115
% 0.69/1.08 maxnrvars = 195
% 0.69/1.08 excuselevel = 1
% 0.69/1.08 increasemaxweight = 1
% 0.69/1.08
% 0.69/1.08 maxselected = 10000000
% 0.69/1.08 maxnrclauses = 10000000
% 0.69/1.08
% 0.69/1.08 showgenerated = 0
% 0.69/1.08 showkept = 0
% 0.69/1.08 showselected = 0
% 0.69/1.08 showdeleted = 0
% 0.69/1.08 showresimp = 1
% 0.69/1.08 showstatus = 2000
% 0.69/1.08
% 0.69/1.08 prologoutput = 1
% 0.69/1.08 nrgoals = 5000000
% 0.69/1.08 totalproof = 1
% 0.69/1.08
% 0.69/1.08 Symbols occurring in the translation:
% 0.69/1.08
% 0.69/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.69/1.08 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.69/1.08 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.69/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.08 divide [42, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.69/1.08 inverse [43, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.69/1.08 multiply [44, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.69/1.08 a1 [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.69/1.08 b1 [46, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 Starting Search:
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 Bliksems!, er is een bewijs:
% 0.69/1.08 % SZS status Unsatisfiable
% 0.69/1.08 % SZS output start Refutation
% 0.69/1.08
% 0.69/1.08 clause( 0, [ =( divide( X, inverse( divide( divide( Y, Z ), divide( X, Z )
% 0.69/1.08 ) ) ), Y ) ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 1, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 2, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 ),
% 0.69/1.08 a1 ) ) ) ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 3, [ =( multiply( X, divide( divide( Y, Z ), divide( X, Z ) ) ), Y
% 0.69/1.08 ) ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 4, [ =( multiply( Z, divide( multiply( X, Y ), multiply( Z, Y ) ) )
% 0.69/1.08 , X ) ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 5, [ =( multiply( T, divide( Y, multiply( T, divide( multiply( Y, Z
% 0.69/1.08 ), multiply( X, Z ) ) ) ) ), X ) ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 9, [ =( multiply( X, divide( Y, Y ) ), X ) ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 10, [ =( multiply( X, divide( Y, X ) ), Y ) ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 17, [ =( multiply( inverse( Y ), multiply( X, Y ) ), X ) ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 19, [ =( multiply( inverse( divide( Y, X ) ), Y ), X ) ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 25, [ =( multiply( inverse( X ), Y ), inverse( divide( X, Y ) ) ) ]
% 0.69/1.08 )
% 0.69/1.08 .
% 0.69/1.08 clause( 26, [ =( inverse( divide( divide( X, X ), Y ) ), Y ) ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 49, [ =( inverse( divide( X, divide( Y, Y ) ) ), inverse( X ) ) ]
% 0.69/1.08 )
% 0.69/1.08 .
% 0.69/1.08 clause( 54, [ ~( =( inverse( divide( b1, b1 ) ), inverse( divide( a1, a1 )
% 0.69/1.08 ) ) ) ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 60, [ =( inverse( divide( X, X ) ), divide( Y, Y ) ) ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 63, [ =( divide( Y, Y ), divide( Z, Z ) ) ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 73, [ ~( =( inverse( divide( X, X ) ), inverse( divide( a1, a1 ) )
% 0.69/1.08 ) ) ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 75, [] )
% 0.69/1.08 .
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 % SZS output end Refutation
% 0.69/1.08 found a proof!
% 0.69/1.08
% 0.69/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.08
% 0.69/1.08 initialclauses(
% 0.69/1.08 [ clause( 77, [ =( divide( X, inverse( divide( divide( Y, Z ), divide( X, Z
% 0.69/1.08 ) ) ) ), Y ) ] )
% 0.69/1.08 , clause( 78, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.69/1.08 , clause( 79, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1
% 0.69/1.08 ), b1 ) ) ) ] )
% 0.69/1.08 ] ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 0, [ =( divide( X, inverse( divide( divide( Y, Z ), divide( X, Z )
% 0.69/1.08 ) ) ), Y ) ] )
% 0.69/1.08 , clause( 77, [ =( divide( X, inverse( divide( divide( Y, Z ), divide( X, Z
% 0.69/1.08 ) ) ) ), Y ) ] )
% 0.69/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 eqswap(
% 0.69/1.08 clause( 82, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.69/1.08 , clause( 78, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.69/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 1, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.69/1.08 , clause( 82, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.69/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.08 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 eqswap(
% 0.69/1.08 clause( 85, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 )
% 0.69/1.08 , a1 ) ) ) ] )
% 0.69/1.08 , clause( 79, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1
% 0.69/1.08 ), b1 ) ) ) ] )
% 0.69/1.08 , 0, substitution( 0, [] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 2, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 ),
% 0.69/1.08 a1 ) ) ) ] )
% 0.69/1.08 , clause( 85, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1
% 0.69/1.08 ), a1 ) ) ) ] )
% 0.69/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 paramod(
% 0.69/1.08 clause( 88, [ =( multiply( X, divide( divide( Y, Z ), divide( X, Z ) ) ), Y
% 0.69/1.08 ) ] )
% 0.69/1.08 , clause( 1, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.69/1.08 , 0, clause( 0, [ =( divide( X, inverse( divide( divide( Y, Z ), divide( X
% 0.69/1.08 , Z ) ) ) ), Y ) ] )
% 0.69/1.08 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, divide( divide( Y, Z ),
% 0.69/1.08 divide( X, Z ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z,
% 0.69/1.08 Z )] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 3, [ =( multiply( X, divide( divide( Y, Z ), divide( X, Z ) ) ), Y
% 0.69/1.08 ) ] )
% 0.69/1.08 , clause( 88, [ =( multiply( X, divide( divide( Y, Z ), divide( X, Z ) ) )
% 0.69/1.08 , Y ) ] )
% 0.69/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 eqswap(
% 0.69/1.08 clause( 91, [ =( Y, multiply( X, divide( divide( Y, Z ), divide( X, Z ) ) )
% 0.69/1.08 ) ] )
% 0.69/1.08 , clause( 3, [ =( multiply( X, divide( divide( Y, Z ), divide( X, Z ) ) ),
% 0.69/1.08 Y ) ] )
% 0.69/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 paramod(
% 0.69/1.08 clause( 97, [ =( X, multiply( Y, divide( divide( X, inverse( Z ) ),
% 0.69/1.08 multiply( Y, Z ) ) ) ) ] )
% 0.69/1.08 , clause( 1, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.69/1.08 , 0, clause( 91, [ =( Y, multiply( X, divide( divide( Y, Z ), divide( X, Z
% 0.69/1.08 ) ) ) ) ] )
% 0.69/1.08 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.69/1.08 :=( X, Y ), :=( Y, X ), :=( Z, inverse( Z ) )] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 paramod(
% 0.69/1.08 clause( 99, [ =( X, multiply( Y, divide( multiply( X, Z ), multiply( Y, Z )
% 0.69/1.08 ) ) ) ] )
% 0.69/1.08 , clause( 1, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.69/1.08 , 0, clause( 97, [ =( X, multiply( Y, divide( divide( X, inverse( Z ) ),
% 0.69/1.08 multiply( Y, Z ) ) ) ) ] )
% 0.69/1.08 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [
% 0.69/1.08 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 eqswap(
% 0.69/1.08 clause( 100, [ =( multiply( Y, divide( multiply( X, Z ), multiply( Y, Z ) )
% 0.69/1.08 ), X ) ] )
% 0.69/1.08 , clause( 99, [ =( X, multiply( Y, divide( multiply( X, Z ), multiply( Y, Z
% 0.69/1.08 ) ) ) ) ] )
% 0.69/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 4, [ =( multiply( Z, divide( multiply( X, Y ), multiply( Z, Y ) ) )
% 0.69/1.08 , X ) ] )
% 0.69/1.08 , clause( 100, [ =( multiply( Y, divide( multiply( X, Z ), multiply( Y, Z )
% 0.69/1.08 ) ), X ) ] )
% 0.69/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.69/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 eqswap(
% 0.69/1.08 clause( 101, [ =( Y, multiply( X, divide( multiply( Y, Z ), multiply( X, Z
% 0.69/1.08 ) ) ) ) ] )
% 0.69/1.08 , clause( 4, [ =( multiply( Z, divide( multiply( X, Y ), multiply( Z, Y ) )
% 0.69/1.08 ), X ) ] )
% 0.69/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 paramod(
% 0.69/1.08 clause( 104, [ =( X, multiply( Y, divide( Z, multiply( Y, divide( multiply(
% 0.69/1.08 Z, T ), multiply( X, T ) ) ) ) ) ) ] )
% 0.69/1.08 , clause( 4, [ =( multiply( Z, divide( multiply( X, Y ), multiply( Z, Y ) )
% 0.69/1.08 ), X ) ] )
% 0.69/1.08 , 0, clause( 101, [ =( Y, multiply( X, divide( multiply( Y, Z ), multiply(
% 0.69/1.08 X, Z ) ) ) ) ] )
% 0.69/1.08 , 0, 5, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, X )] ),
% 0.69/1.08 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, divide( multiply( Z, T
% 0.69/1.08 ), multiply( X, T ) ) )] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 eqswap(
% 0.69/1.08 clause( 106, [ =( multiply( Y, divide( Z, multiply( Y, divide( multiply( Z
% 0.69/1.08 , T ), multiply( X, T ) ) ) ) ), X ) ] )
% 0.69/1.08 , clause( 104, [ =( X, multiply( Y, divide( Z, multiply( Y, divide(
% 0.69/1.08 multiply( Z, T ), multiply( X, T ) ) ) ) ) ) ] )
% 0.69/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.69/1.08 ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 5, [ =( multiply( T, divide( Y, multiply( T, divide( multiply( Y, Z
% 0.69/1.08 ), multiply( X, Z ) ) ) ) ), X ) ] )
% 0.69/1.08 , clause( 106, [ =( multiply( Y, divide( Z, multiply( Y, divide( multiply(
% 0.69/1.08 Z, T ), multiply( X, T ) ) ) ) ), X ) ] )
% 0.69/1.08 , substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Y ), :=( T, Z )] ),
% 0.69/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 eqswap(
% 0.69/1.08 clause( 109, [ =( T, multiply( X, divide( Y, multiply( X, divide( multiply(
% 0.69/1.08 Y, Z ), multiply( T, Z ) ) ) ) ) ) ] )
% 0.69/1.08 , clause( 5, [ =( multiply( T, divide( Y, multiply( T, divide( multiply( Y
% 0.69/1.08 , Z ), multiply( X, Z ) ) ) ) ), X ) ] )
% 0.69/1.08 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] )
% 0.69/1.08 ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 paramod(
% 0.69/1.08 clause( 114, [ =( X, multiply( X, divide( Y, Y ) ) ) ] )
% 0.69/1.08 , clause( 4, [ =( multiply( Z, divide( multiply( X, Y ), multiply( Z, Y ) )
% 0.69/1.08 ), X ) ] )
% 0.69/1.08 , 0, clause( 109, [ =( T, multiply( X, divide( Y, multiply( X, divide(
% 0.69/1.08 multiply( Y, Z ), multiply( T, Z ) ) ) ) ) ) ] )
% 0.69/1.08 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.69/1.08 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 eqswap(
% 0.69/1.08 clause( 117, [ =( multiply( X, divide( Y, Y ) ), X ) ] )
% 0.69/1.08 , clause( 114, [ =( X, multiply( X, divide( Y, Y ) ) ) ] )
% 0.69/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 9, [ =( multiply( X, divide( Y, Y ) ), X ) ] )
% 0.69/1.08 , clause( 117, [ =( multiply( X, divide( Y, Y ) ), X ) ] )
% 0.69/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.08 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 eqswap(
% 0.69/1.08 clause( 121, [ =( T, multiply( X, divide( Y, multiply( X, divide( multiply(
% 0.69/1.08 Y, Z ), multiply( T, Z ) ) ) ) ) ) ] )
% 0.69/1.08 , clause( 5, [ =( multiply( T, divide( Y, multiply( T, divide( multiply( Y
% 0.69/1.08 , Z ), multiply( X, Z ) ) ) ) ), X ) ] )
% 0.69/1.08 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] )
% 0.69/1.08 ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 paramod(
% 0.69/1.08 clause( 122, [ =( X, multiply( Y, divide( X, Y ) ) ) ] )
% 0.69/1.08 , clause( 9, [ =( multiply( X, divide( Y, Y ) ), X ) ] )
% 0.69/1.08 , 0, clause( 121, [ =( T, multiply( X, divide( Y, multiply( X, divide(
% 0.69/1.08 multiply( Y, Z ), multiply( T, Z ) ) ) ) ) ) ] )
% 0.69/1.08 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, multiply( X, Z ) )] ),
% 0.69/1.08 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, X )] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 eqswap(
% 0.69/1.08 clause( 126, [ =( multiply( Y, divide( X, Y ) ), X ) ] )
% 0.69/1.08 , clause( 122, [ =( X, multiply( Y, divide( X, Y ) ) ) ] )
% 0.69/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 10, [ =( multiply( X, divide( Y, X ) ), Y ) ] )
% 0.69/1.08 , clause( 126, [ =( multiply( Y, divide( X, Y ) ), X ) ] )
% 0.69/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.08 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 eqswap(
% 0.69/1.08 clause( 131, [ =( Y, multiply( X, divide( Y, X ) ) ) ] )
% 0.69/1.08 , clause( 10, [ =( multiply( X, divide( Y, X ) ), Y ) ] )
% 0.69/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 paramod(
% 0.69/1.08 clause( 134, [ =( X, multiply( inverse( Y ), multiply( X, Y ) ) ) ] )
% 0.69/1.08 , clause( 1, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.69/1.08 , 0, clause( 131, [ =( Y, multiply( X, divide( Y, X ) ) ) ] )
% 0.69/1.08 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.69/1.08 :=( X, inverse( Y ) ), :=( Y, X )] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 eqswap(
% 0.69/1.08 clause( 135, [ =( multiply( inverse( Y ), multiply( X, Y ) ), X ) ] )
% 0.69/1.08 , clause( 134, [ =( X, multiply( inverse( Y ), multiply( X, Y ) ) ) ] )
% 0.69/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 17, [ =( multiply( inverse( Y ), multiply( X, Y ) ), X ) ] )
% 0.69/1.08 , clause( 135, [ =( multiply( inverse( Y ), multiply( X, Y ) ), X ) ] )
% 0.69/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.08 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 eqswap(
% 0.69/1.08 clause( 137, [ =( Y, multiply( inverse( X ), multiply( Y, X ) ) ) ] )
% 0.69/1.08 , clause( 17, [ =( multiply( inverse( Y ), multiply( X, Y ) ), X ) ] )
% 0.69/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 paramod(
% 0.69/1.08 clause( 138, [ =( X, multiply( inverse( divide( Y, X ) ), Y ) ) ] )
% 0.69/1.08 , clause( 10, [ =( multiply( X, divide( Y, X ) ), Y ) ] )
% 0.69/1.08 , 0, clause( 137, [ =( Y, multiply( inverse( X ), multiply( Y, X ) ) ) ] )
% 0.69/1.08 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.69/1.08 :=( X, divide( Y, X ) ), :=( Y, X )] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 eqswap(
% 0.69/1.08 clause( 139, [ =( multiply( inverse( divide( Y, X ) ), Y ), X ) ] )
% 0.69/1.08 , clause( 138, [ =( X, multiply( inverse( divide( Y, X ) ), Y ) ) ] )
% 0.69/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 19, [ =( multiply( inverse( divide( Y, X ) ), Y ), X ) ] )
% 0.69/1.08 , clause( 139, [ =( multiply( inverse( divide( Y, X ) ), Y ), X ) ] )
% 0.69/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.08 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 eqswap(
% 0.69/1.08 clause( 141, [ =( Y, multiply( inverse( X ), multiply( Y, X ) ) ) ] )
% 0.69/1.08 , clause( 17, [ =( multiply( inverse( Y ), multiply( X, Y ) ), X ) ] )
% 0.69/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 paramod(
% 0.69/1.08 clause( 142, [ =( inverse( divide( X, Y ) ), multiply( inverse( X ), Y ) )
% 0.69/1.08 ] )
% 0.69/1.08 , clause( 19, [ =( multiply( inverse( divide( Y, X ) ), Y ), X ) ] )
% 0.69/1.08 , 0, clause( 141, [ =( Y, multiply( inverse( X ), multiply( Y, X ) ) ) ] )
% 0.69/1.08 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.69/1.08 :=( X, X ), :=( Y, inverse( divide( X, Y ) ) )] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 eqswap(
% 0.69/1.08 clause( 143, [ =( multiply( inverse( X ), Y ), inverse( divide( X, Y ) ) )
% 0.69/1.08 ] )
% 0.69/1.08 , clause( 142, [ =( inverse( divide( X, Y ) ), multiply( inverse( X ), Y )
% 0.69/1.08 ) ] )
% 0.69/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 25, [ =( multiply( inverse( X ), Y ), inverse( divide( X, Y ) ) ) ]
% 0.69/1.08 )
% 0.69/1.08 , clause( 143, [ =( multiply( inverse( X ), Y ), inverse( divide( X, Y ) )
% 0.69/1.08 ) ] )
% 0.69/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.08 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 eqswap(
% 0.69/1.08 clause( 144, [ =( Y, multiply( inverse( divide( X, Y ) ), X ) ) ] )
% 0.69/1.08 , clause( 19, [ =( multiply( inverse( divide( Y, X ) ), Y ), X ) ] )
% 0.69/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 paramod(
% 0.69/1.08 clause( 146, [ =( X, inverse( divide( divide( Y, Y ), X ) ) ) ] )
% 0.69/1.08 , clause( 9, [ =( multiply( X, divide( Y, Y ) ), X ) ] )
% 0.69/1.08 , 0, clause( 144, [ =( Y, multiply( inverse( divide( X, Y ) ), X ) ) ] )
% 0.69/1.08 , 0, 2, substitution( 0, [ :=( X, inverse( divide( divide( Y, Y ), X ) ) )
% 0.69/1.08 , :=( Y, Y )] ), substitution( 1, [ :=( X, divide( Y, Y ) ), :=( Y, X )] )
% 0.69/1.08 ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 eqswap(
% 0.69/1.08 clause( 147, [ =( inverse( divide( divide( Y, Y ), X ) ), X ) ] )
% 0.69/1.08 , clause( 146, [ =( X, inverse( divide( divide( Y, Y ), X ) ) ) ] )
% 0.69/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 26, [ =( inverse( divide( divide( X, X ), Y ) ), Y ) ] )
% 0.69/1.08 , clause( 147, [ =( inverse( divide( divide( Y, Y ), X ) ), X ) ] )
% 0.69/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.08 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 eqswap(
% 0.69/1.08 clause( 148, [ =( inverse( divide( X, Y ) ), multiply( inverse( X ), Y ) )
% 0.69/1.08 ] )
% 0.69/1.08 , clause( 25, [ =( multiply( inverse( X ), Y ), inverse( divide( X, Y ) ) )
% 0.69/1.08 ] )
% 0.69/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 paramod(
% 0.69/1.08 clause( 150, [ =( inverse( divide( X, divide( Y, Y ) ) ), inverse( X ) ) ]
% 0.69/1.08 )
% 0.69/1.08 , clause( 9, [ =( multiply( X, divide( Y, Y ) ), X ) ] )
% 0.69/1.08 , 0, clause( 148, [ =( inverse( divide( X, Y ) ), multiply( inverse( X ), Y
% 0.69/1.08 ) ) ] )
% 0.69/1.08 , 0, 7, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, Y )] ),
% 0.69/1.08 substitution( 1, [ :=( X, X ), :=( Y, divide( Y, Y ) )] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 49, [ =( inverse( divide( X, divide( Y, Y ) ) ), inverse( X ) ) ]
% 0.69/1.08 )
% 0.69/1.08 , clause( 150, [ =( inverse( divide( X, divide( Y, Y ) ) ), inverse( X ) )
% 0.69/1.08 ] )
% 0.69/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.08 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 eqswap(
% 0.69/1.08 clause( 153, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 )
% 0.69/1.08 , b1 ) ) ) ] )
% 0.69/1.08 , clause( 2, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 )
% 0.69/1.08 , a1 ) ) ) ] )
% 0.69/1.08 , 0, substitution( 0, [] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 paramod(
% 0.69/1.08 clause( 156, [ ~( =( multiply( inverse( a1 ), a1 ), inverse( divide( b1, b1
% 0.69/1.08 ) ) ) ) ] )
% 0.69/1.08 , clause( 25, [ =( multiply( inverse( X ), Y ), inverse( divide( X, Y ) ) )
% 0.69/1.08 ] )
% 0.69/1.08 , 0, clause( 153, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse(
% 0.69/1.08 b1 ), b1 ) ) ) ] )
% 0.69/1.08 , 0, 6, substitution( 0, [ :=( X, b1 ), :=( Y, b1 )] ), substitution( 1, [] )
% 0.69/1.08 ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 paramod(
% 0.69/1.08 clause( 158, [ ~( =( inverse( divide( a1, a1 ) ), inverse( divide( b1, b1 )
% 0.69/1.08 ) ) ) ] )
% 0.69/1.08 , clause( 25, [ =( multiply( inverse( X ), Y ), inverse( divide( X, Y ) ) )
% 0.69/1.08 ] )
% 0.69/1.08 , 0, clause( 156, [ ~( =( multiply( inverse( a1 ), a1 ), inverse( divide(
% 0.69/1.08 b1, b1 ) ) ) ) ] )
% 0.69/1.08 , 0, 2, substitution( 0, [ :=( X, a1 ), :=( Y, a1 )] ), substitution( 1, [] )
% 0.69/1.08 ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 eqswap(
% 0.69/1.08 clause( 159, [ ~( =( inverse( divide( b1, b1 ) ), inverse( divide( a1, a1 )
% 0.69/1.08 ) ) ) ] )
% 0.69/1.08 , clause( 158, [ ~( =( inverse( divide( a1, a1 ) ), inverse( divide( b1, b1
% 0.69/1.08 ) ) ) ) ] )
% 0.69/1.08 , 0, substitution( 0, [] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 54, [ ~( =( inverse( divide( b1, b1 ) ), inverse( divide( a1, a1 )
% 0.69/1.08 ) ) ) ] )
% 0.69/1.08 , clause( 159, [ ~( =( inverse( divide( b1, b1 ) ), inverse( divide( a1, a1
% 0.69/1.08 ) ) ) ) ] )
% 0.69/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 eqswap(
% 0.69/1.08 clause( 160, [ =( inverse( X ), inverse( divide( X, divide( Y, Y ) ) ) ) ]
% 0.69/1.08 )
% 0.69/1.08 , clause( 49, [ =( inverse( divide( X, divide( Y, Y ) ) ), inverse( X ) ) ]
% 0.69/1.08 )
% 0.69/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 paramod(
% 0.69/1.08 clause( 163, [ =( inverse( divide( X, X ) ), divide( Y, Y ) ) ] )
% 0.69/1.08 , clause( 26, [ =( inverse( divide( divide( X, X ), Y ) ), Y ) ] )
% 0.69/1.08 , 0, clause( 160, [ =( inverse( X ), inverse( divide( X, divide( Y, Y ) ) )
% 0.69/1.08 ) ] )
% 0.69/1.08 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, divide( Y, Y ) )] ),
% 0.69/1.08 substitution( 1, [ :=( X, divide( X, X ) ), :=( Y, Y )] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 60, [ =( inverse( divide( X, X ) ), divide( Y, Y ) ) ] )
% 0.69/1.08 , clause( 163, [ =( inverse( divide( X, X ) ), divide( Y, Y ) ) ] )
% 0.69/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.08 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 eqswap(
% 0.69/1.08 clause( 166, [ =( divide( Y, Y ), inverse( divide( X, X ) ) ) ] )
% 0.69/1.08 , clause( 60, [ =( inverse( divide( X, X ) ), divide( Y, Y ) ) ] )
% 0.69/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 paramod(
% 0.69/1.08 clause( 294, [ =( divide( X, X ), divide( Z, Z ) ) ] )
% 0.69/1.08 , clause( 60, [ =( inverse( divide( X, X ) ), divide( Y, Y ) ) ] )
% 0.69/1.08 , 0, clause( 166, [ =( divide( Y, Y ), inverse( divide( X, X ) ) ) ] )
% 0.69/1.08 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.69/1.08 :=( X, Y ), :=( Y, X )] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 63, [ =( divide( Y, Y ), divide( Z, Z ) ) ] )
% 0.69/1.08 , clause( 294, [ =( divide( X, X ), divide( Z, Z ) ) ] )
% 0.69/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, T ), :=( Z, Z )] ),
% 0.69/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 eqswap(
% 0.69/1.08 clause( 295, [ ~( =( inverse( divide( a1, a1 ) ), inverse( divide( b1, b1 )
% 0.69/1.08 ) ) ) ] )
% 0.69/1.08 , clause( 54, [ ~( =( inverse( divide( b1, b1 ) ), inverse( divide( a1, a1
% 0.69/1.08 ) ) ) ) ] )
% 0.69/1.08 , 0, substitution( 0, [] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 paramod(
% 0.69/1.08 clause( 297, [ ~( =( inverse( divide( a1, a1 ) ), inverse( divide( X, X ) )
% 0.69/1.08 ) ) ] )
% 0.69/1.08 , clause( 63, [ =( divide( Y, Y ), divide( Z, Z ) ) ] )
% 0.69/1.08 , 0, clause( 295, [ ~( =( inverse( divide( a1, a1 ) ), inverse( divide( b1
% 0.69/1.08 , b1 ) ) ) ) ] )
% 0.69/1.08 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, b1 ), :=( Z, X )] ),
% 0.69/1.08 substitution( 1, [] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 paramod(
% 0.69/1.08 clause( 298, [ ~( =( inverse( divide( Y, Y ) ), inverse( divide( X, X ) ) )
% 0.69/1.08 ) ] )
% 0.69/1.08 , clause( 63, [ =( divide( Y, Y ), divide( Z, Z ) ) ] )
% 0.69/1.08 , 0, clause( 297, [ ~( =( inverse( divide( a1, a1 ) ), inverse( divide( X,
% 0.69/1.08 X ) ) ) ) ] )
% 0.69/1.08 , 0, 3, substitution( 0, [ :=( X, Z ), :=( Y, a1 ), :=( Z, Y )] ),
% 0.69/1.08 substitution( 1, [ :=( X, X )] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 73, [ ~( =( inverse( divide( X, X ) ), inverse( divide( a1, a1 ) )
% 0.69/1.08 ) ) ] )
% 0.69/1.08 , clause( 298, [ ~( =( inverse( divide( Y, Y ) ), inverse( divide( X, X ) )
% 0.69/1.08 ) ) ] )
% 0.69/1.08 , substitution( 0, [ :=( X, a1 ), :=( Y, X )] ), permutation( 0, [ ==>( 0,
% 0.69/1.08 0 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 eqswap(
% 0.69/1.08 clause( 299, [ ~( =( inverse( divide( a1, a1 ) ), inverse( divide( X, X ) )
% 0.69/1.08 ) ) ] )
% 0.69/1.08 , clause( 73, [ ~( =( inverse( divide( X, X ) ), inverse( divide( a1, a1 )
% 0.69/1.08 ) ) ) ] )
% 0.69/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 eqrefl(
% 0.69/1.08 clause( 300, [] )
% 0.69/1.08 , clause( 299, [ ~( =( inverse( divide( a1, a1 ) ), inverse( divide( X, X )
% 0.69/1.08 ) ) ) ] )
% 0.69/1.08 , 0, substitution( 0, [ :=( X, a1 )] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 75, [] )
% 0.69/1.08 , clause( 300, [] )
% 0.69/1.08 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 end.
% 0.69/1.08
% 0.69/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.08
% 0.69/1.08 Memory use:
% 0.69/1.08
% 0.69/1.08 space for terms: 887
% 0.69/1.08 space for clauses: 8373
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 clauses generated: 320
% 0.69/1.08 clauses kept: 76
% 0.69/1.08 clauses selected: 20
% 0.69/1.08 clauses deleted: 4
% 0.69/1.08 clauses inuse deleted: 0
% 0.69/1.08
% 0.69/1.08 subsentry: 3765
% 0.69/1.08 literals s-matched: 203
% 0.69/1.08 literals matched: 187
% 0.69/1.08 full subsumption: 0
% 0.69/1.08
% 0.69/1.08 checksum: -1234397647
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 Bliksem ended
%------------------------------------------------------------------------------