TSTP Solution File: GRP467-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP467-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n010.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 07:37:10 EDT 2022
% Result : Unsatisfiable 0.42s 1.06s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP467-1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n010.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 01:55:56 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.42/1.06 *** allocated 10000 integers for termspace/termends
% 0.42/1.06 *** allocated 10000 integers for clauses
% 0.42/1.06 *** allocated 10000 integers for justifications
% 0.42/1.06 Bliksem 1.12
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Automatic Strategy Selection
% 0.42/1.06
% 0.42/1.06 Clauses:
% 0.42/1.06 [
% 0.42/1.06 [ =( divide( divide( X, X ), divide( Y, divide( divide( Z, divide( T, Y
% 0.42/1.06 ) ), inverse( T ) ) ) ), Z ) ],
% 0.42/1.06 [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ],
% 0.42/1.06 [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ) ]
% 0.42/1.06 ] .
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 percentage equality = 1.000000, percentage horn = 1.000000
% 0.42/1.06 This is a pure equality problem
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Options Used:
% 0.42/1.06
% 0.42/1.06 useres = 1
% 0.42/1.06 useparamod = 1
% 0.42/1.06 useeqrefl = 1
% 0.42/1.06 useeqfact = 1
% 0.42/1.06 usefactor = 1
% 0.42/1.06 usesimpsplitting = 0
% 0.42/1.06 usesimpdemod = 5
% 0.42/1.06 usesimpres = 3
% 0.42/1.06
% 0.42/1.06 resimpinuse = 1000
% 0.42/1.06 resimpclauses = 20000
% 0.42/1.06 substype = eqrewr
% 0.42/1.06 backwardsubs = 1
% 0.42/1.06 selectoldest = 5
% 0.42/1.06
% 0.42/1.06 litorderings [0] = split
% 0.42/1.06 litorderings [1] = extend the termordering, first sorting on arguments
% 0.42/1.06
% 0.42/1.06 termordering = kbo
% 0.42/1.06
% 0.42/1.06 litapriori = 0
% 0.42/1.06 termapriori = 1
% 0.42/1.06 litaposteriori = 0
% 0.42/1.06 termaposteriori = 0
% 0.42/1.06 demodaposteriori = 0
% 0.42/1.06 ordereqreflfact = 0
% 0.42/1.06
% 0.42/1.06 litselect = negord
% 0.42/1.06
% 0.42/1.06 maxweight = 15
% 0.42/1.06 maxdepth = 30000
% 0.42/1.06 maxlength = 115
% 0.42/1.06 maxnrvars = 195
% 0.42/1.06 excuselevel = 1
% 0.42/1.06 increasemaxweight = 1
% 0.42/1.06
% 0.42/1.06 maxselected = 10000000
% 0.42/1.06 maxnrclauses = 10000000
% 0.42/1.06
% 0.42/1.06 showgenerated = 0
% 0.42/1.06 showkept = 0
% 0.42/1.06 showselected = 0
% 0.42/1.06 showdeleted = 0
% 0.42/1.06 showresimp = 1
% 0.42/1.06 showstatus = 2000
% 0.42/1.06
% 0.42/1.06 prologoutput = 1
% 0.42/1.06 nrgoals = 5000000
% 0.42/1.06 totalproof = 1
% 0.42/1.06
% 0.42/1.06 Symbols occurring in the translation:
% 0.42/1.06
% 0.42/1.06 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.42/1.06 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.42/1.06 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.42/1.06 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.06 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.06 divide [40, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.42/1.06 inverse [44, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.42/1.06 multiply [45, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.42/1.06 b2 [46, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.42/1.06 a2 [47, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Starting Search:
% 0.42/1.06
% 0.42/1.06 Resimplifying inuse:
% 0.42/1.06 Done
% 0.42/1.06
% 0.42/1.06 Failed to find proof!
% 0.42/1.06 maxweight = 15
% 0.42/1.06 maxnrclauses = 10000000
% 0.42/1.06 Generated: 14
% 0.42/1.06 Kept: 4
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 The strategy used was not complete!
% 0.42/1.06
% 0.42/1.06 Increased maxweight to 16
% 0.42/1.06
% 0.42/1.06 Starting Search:
% 0.42/1.06
% 0.42/1.06 Resimplifying inuse:
% 0.42/1.06 Done
% 0.42/1.06
% 0.42/1.06 Failed to find proof!
% 0.42/1.06 maxweight = 16
% 0.42/1.06 maxnrclauses = 10000000
% 0.42/1.06 Generated: 32
% 0.42/1.06 Kept: 6
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 The strategy used was not complete!
% 0.42/1.06
% 0.42/1.06 Increased maxweight to 17
% 0.42/1.06
% 0.42/1.06 Starting Search:
% 0.42/1.06
% 0.42/1.06 Resimplifying inuse:
% 0.42/1.06 Done
% 0.42/1.06
% 0.42/1.06 Failed to find proof!
% 0.42/1.06 maxweight = 17
% 0.42/1.06 maxnrclauses = 10000000
% 0.42/1.06 Generated: 38
% 0.42/1.06 Kept: 7
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 The strategy used was not complete!
% 0.42/1.06
% 0.42/1.06 Increased maxweight to 18
% 0.42/1.06
% 0.42/1.06 Starting Search:
% 0.42/1.06
% 0.42/1.06 Resimplifying inuse:
% 0.42/1.06 Done
% 0.42/1.06
% 0.42/1.06 Failed to find proof!
% 0.42/1.06 maxweight = 18
% 0.42/1.06 maxnrclauses = 10000000
% 0.42/1.06 Generated: 38
% 0.42/1.06 Kept: 7
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 The strategy used was not complete!
% 0.42/1.06
% 0.42/1.06 Increased maxweight to 19
% 0.42/1.06
% 0.42/1.06 Starting Search:
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Bliksems!, er is een bewijs:
% 0.42/1.06 % SZS status Unsatisfiable
% 0.42/1.06 % SZS output start Refutation
% 0.42/1.06
% 0.42/1.06 clause( 0, [ =( divide( divide( X, X ), divide( Y, divide( divide( Z,
% 0.42/1.06 divide( T, Y ) ), inverse( T ) ) ) ), Z ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 1, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 2, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ) ]
% 0.42/1.06 )
% 0.42/1.06 .
% 0.42/1.06 clause( 3, [ =( divide( divide( X, X ), divide( Y, multiply( divide( Z,
% 0.42/1.06 divide( T, Y ) ), T ) ) ), Z ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 4, [ =( divide( divide( U, U ), divide( multiply( divide( Z, divide(
% 0.42/1.06 T, Y ) ), T ), multiply( Z, Y ) ) ), divide( X, X ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 6, [ =( divide( divide( Z, Z ), divide( inverse( Y ), multiply(
% 0.42/1.06 divide( T, multiply( X, Y ) ), X ) ) ), T ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 8, [ =( divide( U, U ), divide( W, W ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 13, [ =( divide( divide( T, T ), divide( Y, multiply( divide( Z, Z
% 0.42/1.06 ), X ) ) ), divide( X, Y ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 15, [ =( divide( Y, Y ), multiply( inverse( X ), X ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 21, [ ~( =( multiply( divide( X, X ), a2 ), a2 ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 30, [ =( divide( Y, multiply( divide( X, X ), Y ) ), divide( Z, Z )
% 0.42/1.06 ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 39, [ =( multiply( divide( Y, Y ), X ), X ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 40, [] )
% 0.42/1.06 .
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 % SZS output end Refutation
% 0.42/1.06 found a proof!
% 0.42/1.06
% 0.42/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.06
% 0.42/1.06 initialclauses(
% 0.42/1.06 [ clause( 42, [ =( divide( divide( X, X ), divide( Y, divide( divide( Z,
% 0.42/1.06 divide( T, Y ) ), inverse( T ) ) ) ), Z ) ] )
% 0.42/1.06 , clause( 43, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.42/1.06 , clause( 44, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) )
% 0.42/1.06 ] )
% 0.42/1.06 ] ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 0, [ =( divide( divide( X, X ), divide( Y, divide( divide( Z,
% 0.42/1.06 divide( T, Y ) ), inverse( T ) ) ) ), Z ) ] )
% 0.42/1.06 , clause( 42, [ =( divide( divide( X, X ), divide( Y, divide( divide( Z,
% 0.42/1.06 divide( T, Y ) ), inverse( T ) ) ) ), Z ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.42/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 47, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.42/1.06 , clause( 43, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 1, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.42/1.06 , clause( 47, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.06 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 2, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ) ]
% 0.42/1.06 )
% 0.42/1.06 , clause( 44, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) )
% 0.42/1.06 ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 53, [ =( divide( divide( X, X ), divide( Y, multiply( divide( Z,
% 0.42/1.06 divide( T, Y ) ), T ) ) ), Z ) ] )
% 0.42/1.06 , clause( 1, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.42/1.06 , 0, clause( 0, [ =( divide( divide( X, X ), divide( Y, divide( divide( Z,
% 0.42/1.06 divide( T, Y ) ), inverse( T ) ) ) ), Z ) ] )
% 0.42/1.06 , 0, 7, substitution( 0, [ :=( X, divide( Z, divide( T, Y ) ) ), :=( Y, T )] )
% 0.42/1.06 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.42/1.06 ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 3, [ =( divide( divide( X, X ), divide( Y, multiply( divide( Z,
% 0.42/1.06 divide( T, Y ) ), T ) ) ), Z ) ] )
% 0.42/1.06 , clause( 53, [ =( divide( divide( X, X ), divide( Y, multiply( divide( Z,
% 0.42/1.06 divide( T, Y ) ), T ) ) ), Z ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.42/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 55, [ =( Z, divide( divide( X, X ), divide( Y, multiply( divide( Z
% 0.42/1.06 , divide( T, Y ) ), T ) ) ) ) ] )
% 0.42/1.06 , clause( 3, [ =( divide( divide( X, X ), divide( Y, multiply( divide( Z,
% 0.42/1.06 divide( T, Y ) ), T ) ) ), Z ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.42/1.06 ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 58, [ =( divide( X, X ), divide( divide( Y, Y ), divide( multiply(
% 0.42/1.06 divide( Z, divide( T, U ) ), T ), multiply( Z, U ) ) ) ) ] )
% 0.42/1.06 , clause( 3, [ =( divide( divide( X, X ), divide( Y, multiply( divide( Z,
% 0.42/1.06 divide( T, Y ) ), T ) ) ), Z ) ] )
% 0.42/1.06 , 0, clause( 55, [ =( Z, divide( divide( X, X ), divide( Y, multiply(
% 0.42/1.06 divide( Z, divide( T, Y ) ), T ) ) ) ) ] )
% 0.42/1.06 , 0, 17, substitution( 0, [ :=( X, X ), :=( Y, U ), :=( Z, Z ), :=( T, T )] )
% 0.42/1.06 , substitution( 1, [ :=( X, Y ), :=( Y, multiply( divide( Z, divide( T, U
% 0.42/1.06 ) ), T ) ), :=( Z, divide( X, X ) ), :=( T, U )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 60, [ =( divide( divide( Y, Y ), divide( multiply( divide( Z,
% 0.42/1.06 divide( T, U ) ), T ), multiply( Z, U ) ) ), divide( X, X ) ) ] )
% 0.42/1.06 , clause( 58, [ =( divide( X, X ), divide( divide( Y, Y ), divide( multiply(
% 0.42/1.06 divide( Z, divide( T, U ) ), T ), multiply( Z, U ) ) ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 0.42/1.06 :=( U, U )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 4, [ =( divide( divide( U, U ), divide( multiply( divide( Z, divide(
% 0.42/1.06 T, Y ) ), T ), multiply( Z, Y ) ) ), divide( X, X ) ) ] )
% 0.42/1.06 , clause( 60, [ =( divide( divide( Y, Y ), divide( multiply( divide( Z,
% 0.42/1.06 divide( T, U ) ), T ), multiply( Z, U ) ) ), divide( X, X ) ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, U ), :=( Z, Z ), :=( T, T ), :=( U
% 0.42/1.06 , Y )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 63, [ =( Z, divide( divide( X, X ), divide( Y, multiply( divide( Z
% 0.42/1.06 , divide( T, Y ) ), T ) ) ) ) ] )
% 0.42/1.06 , clause( 3, [ =( divide( divide( X, X ), divide( Y, multiply( divide( Z,
% 0.42/1.06 divide( T, Y ) ), T ) ) ), Z ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.42/1.06 ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 65, [ =( X, divide( divide( Y, Y ), divide( inverse( Z ), multiply(
% 0.42/1.06 divide( X, multiply( T, Z ) ), T ) ) ) ) ] )
% 0.42/1.06 , clause( 1, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.42/1.06 , 0, clause( 63, [ =( Z, divide( divide( X, X ), divide( Y, multiply(
% 0.42/1.06 divide( Z, divide( T, Y ) ), T ) ) ) ) ] )
% 0.42/1.06 , 0, 12, substitution( 0, [ :=( X, T ), :=( Y, Z )] ), substitution( 1, [
% 0.42/1.06 :=( X, Y ), :=( Y, inverse( Z ) ), :=( Z, X ), :=( T, T )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 67, [ =( divide( divide( Y, Y ), divide( inverse( Z ), multiply(
% 0.42/1.06 divide( X, multiply( T, Z ) ), T ) ) ), X ) ] )
% 0.42/1.06 , clause( 65, [ =( X, divide( divide( Y, Y ), divide( inverse( Z ),
% 0.42/1.06 multiply( divide( X, multiply( T, Z ) ), T ) ) ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.42/1.06 ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 6, [ =( divide( divide( Z, Z ), divide( inverse( Y ), multiply(
% 0.42/1.06 divide( T, multiply( X, Y ) ), X ) ) ), T ) ] )
% 0.42/1.06 , clause( 67, [ =( divide( divide( Y, Y ), divide( inverse( Z ), multiply(
% 0.42/1.06 divide( X, multiply( T, Z ) ), T ) ) ), X ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, Y ), :=( T, X )] ),
% 0.42/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 68, [ =( divide( U, U ), divide( divide( X, X ), divide( multiply(
% 0.42/1.06 divide( Y, divide( Z, T ) ), Z ), multiply( Y, T ) ) ) ) ] )
% 0.42/1.06 , clause( 4, [ =( divide( divide( U, U ), divide( multiply( divide( Z,
% 0.42/1.06 divide( T, Y ) ), T ), multiply( Z, Y ) ) ), divide( X, X ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, U ), :=( Y, T ), :=( Z, Y ), :=( T, Z ),
% 0.42/1.06 :=( U, X )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 179, [ =( divide( X, X ), divide( W, W ) ) ] )
% 0.42/1.06 , clause( 4, [ =( divide( divide( U, U ), divide( multiply( divide( Z,
% 0.42/1.06 divide( T, Y ) ), T ), multiply( Z, Y ) ) ), divide( X, X ) ) ] )
% 0.42/1.06 , 0, clause( 68, [ =( divide( U, U ), divide( divide( X, X ), divide(
% 0.42/1.06 multiply( divide( Y, divide( Z, T ) ), Z ), multiply( Y, T ) ) ) ) ] )
% 0.42/1.06 , 0, 4, substitution( 0, [ :=( X, W ), :=( Y, U ), :=( Z, Z ), :=( T, T ),
% 0.42/1.06 :=( U, Y )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ),
% 0.42/1.06 :=( T, U ), :=( U, X )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 8, [ =( divide( U, U ), divide( W, W ) ) ] )
% 0.42/1.06 , clause( 179, [ =( divide( X, X ), divide( W, W ) ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, U ), :=( Y, V0 ), :=( Z, V1 ), :=( T, V2 ),
% 0.42/1.06 :=( U, V3 ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 184, [ =( Z, divide( divide( X, X ), divide( Y, multiply( divide( Z
% 0.42/1.06 , divide( T, Y ) ), T ) ) ) ) ] )
% 0.42/1.06 , clause( 3, [ =( divide( divide( X, X ), divide( Y, multiply( divide( Z,
% 0.42/1.06 divide( T, Y ) ), T ) ) ), Z ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.42/1.06 ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 186, [ =( divide( X, Y ), divide( divide( Z, Z ), divide( Y,
% 0.42/1.06 multiply( divide( T, T ), X ) ) ) ) ] )
% 0.42/1.06 , clause( 8, [ =( divide( U, U ), divide( W, W ) ) ] )
% 0.42/1.06 , 0, clause( 184, [ =( Z, divide( divide( X, X ), divide( Y, multiply(
% 0.42/1.06 divide( Z, divide( T, Y ) ), T ) ) ) ) ] )
% 0.42/1.06 , 0, 11, substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, V0 ), :=( T, V1
% 0.42/1.06 ), :=( U, divide( X, Y ) ), :=( W, T )] ), substitution( 1, [ :=( X, Z )
% 0.42/1.06 , :=( Y, Y ), :=( Z, divide( X, Y ) ), :=( T, X )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 189, [ =( divide( divide( Z, Z ), divide( Y, multiply( divide( T, T
% 0.42/1.06 ), X ) ) ), divide( X, Y ) ) ] )
% 0.42/1.06 , clause( 186, [ =( divide( X, Y ), divide( divide( Z, Z ), divide( Y,
% 0.42/1.06 multiply( divide( T, T ), X ) ) ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.42/1.06 ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 13, [ =( divide( divide( T, T ), divide( Y, multiply( divide( Z, Z
% 0.42/1.06 ), X ) ) ), divide( X, Y ) ) ] )
% 0.42/1.06 , clause( 189, [ =( divide( divide( Z, Z ), divide( Y, multiply( divide( T
% 0.42/1.06 , T ), X ) ) ), divide( X, Y ) ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] ),
% 0.42/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 191, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.42/1.06 , clause( 1, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 192, [ =( multiply( inverse( X ), X ), divide( Y, Y ) ) ] )
% 0.42/1.06 , clause( 8, [ =( divide( U, U ), divide( W, W ) ) ] )
% 0.42/1.06 , 0, clause( 191, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.42/1.06 , 0, 5, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, W ),
% 0.42/1.06 :=( U, inverse( X ) ), :=( W, Y )] ), substitution( 1, [ :=( X, inverse(
% 0.42/1.06 X ) ), :=( Y, X )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 193, [ =( divide( Y, Y ), multiply( inverse( X ), X ) ) ] )
% 0.42/1.06 , clause( 192, [ =( multiply( inverse( X ), X ), divide( Y, Y ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 15, [ =( divide( Y, Y ), multiply( inverse( X ), X ) ) ] )
% 0.42/1.06 , clause( 193, [ =( divide( Y, Y ), multiply( inverse( X ), X ) ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.06 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 194, [ =( multiply( inverse( Y ), Y ), divide( X, X ) ) ] )
% 0.42/1.06 , clause( 15, [ =( divide( Y, Y ), multiply( inverse( X ), X ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 195, [ ~( =( a2, multiply( multiply( inverse( b2 ), b2 ), a2 ) ) )
% 0.42/1.06 ] )
% 0.42/1.06 , clause( 2, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) )
% 0.42/1.06 ] )
% 0.42/1.06 , 0, substitution( 0, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 196, [ ~( =( a2, multiply( divide( X, X ), a2 ) ) ) ] )
% 0.42/1.06 , clause( 194, [ =( multiply( inverse( Y ), Y ), divide( X, X ) ) ] )
% 0.42/1.06 , 0, clause( 195, [ ~( =( a2, multiply( multiply( inverse( b2 ), b2 ), a2 )
% 0.42/1.06 ) ) ] )
% 0.42/1.06 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, b2 )] ), substitution( 1, [] )
% 0.42/1.06 ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 197, [ ~( =( multiply( divide( X, X ), a2 ), a2 ) ) ] )
% 0.42/1.06 , clause( 196, [ ~( =( a2, multiply( divide( X, X ), a2 ) ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 21, [ ~( =( multiply( divide( X, X ), a2 ), a2 ) ) ] )
% 0.42/1.06 , clause( 197, [ ~( =( multiply( divide( X, X ), a2 ), a2 ) ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 198, [ =( divide( T, Y ), divide( divide( X, X ), divide( Y,
% 0.42/1.06 multiply( divide( Z, Z ), T ) ) ) ) ] )
% 0.42/1.06 , clause( 13, [ =( divide( divide( T, T ), divide( Y, multiply( divide( Z,
% 0.42/1.06 Z ), X ) ) ), divide( X, Y ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] )
% 0.42/1.06 ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 200, [ =( divide( X, multiply( divide( Y, Y ), X ) ), divide( Z, Z
% 0.42/1.06 ) ) ] )
% 0.42/1.06 , clause( 8, [ =( divide( U, U ), divide( W, W ) ) ] )
% 0.42/1.06 , 0, clause( 198, [ =( divide( T, Y ), divide( divide( X, X ), divide( Y,
% 0.42/1.06 multiply( divide( Z, Z ), T ) ) ) ) ] )
% 0.42/1.06 , 0, 8, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, W ), :=( T, V0 )
% 0.42/1.06 , :=( U, divide( multiply( divide( Y, Y ), X ), multiply( divide( Y, Y )
% 0.42/1.06 , X ) ) ), :=( W, Z )] ), substitution( 1, [ :=( X, multiply( divide( Y,
% 0.42/1.06 Y ), X ) ), :=( Y, multiply( divide( Y, Y ), X ) ), :=( Z, Y ), :=( T, X
% 0.42/1.06 )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 30, [ =( divide( Y, multiply( divide( X, X ), Y ) ), divide( Z, Z )
% 0.42/1.06 ) ] )
% 0.42/1.06 , clause( 200, [ =( divide( X, multiply( divide( Y, Y ), X ) ), divide( Z,
% 0.42/1.06 Z ) ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.42/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 208, [ =( Z, divide( divide( X, X ), divide( inverse( Y ), multiply(
% 0.42/1.06 divide( Z, multiply( T, Y ) ), T ) ) ) ) ] )
% 0.42/1.06 , clause( 6, [ =( divide( divide( Z, Z ), divide( inverse( Y ), multiply(
% 0.42/1.06 divide( T, multiply( X, Y ) ), X ) ) ), T ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, X ), :=( T, Z )] )
% 0.42/1.06 ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 256, [ =( X, divide( divide( Y, Y ), divide( inverse( X ), multiply(
% 0.42/1.06 divide( T, T ), divide( Z, Z ) ) ) ) ) ] )
% 0.42/1.06 , clause( 30, [ =( divide( Y, multiply( divide( X, X ), Y ) ), divide( Z, Z
% 0.42/1.06 ) ) ] )
% 0.42/1.06 , 0, clause( 208, [ =( Z, divide( divide( X, X ), divide( inverse( Y ),
% 0.42/1.06 multiply( divide( Z, multiply( T, Y ) ), T ) ) ) ) ] )
% 0.42/1.06 , 0, 10, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, T )] ),
% 0.42/1.06 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, X ), :=( T, divide( Z,
% 0.42/1.06 Z ) )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 257, [ =( X, divide( divide( T, T ), inverse( X ) ) ) ] )
% 0.42/1.06 , clause( 13, [ =( divide( divide( T, T ), divide( Y, multiply( divide( Z,
% 0.42/1.06 Z ), X ) ) ), divide( X, Y ) ) ] )
% 0.42/1.06 , 0, clause( 256, [ =( X, divide( divide( Y, Y ), divide( inverse( X ),
% 0.42/1.06 multiply( divide( T, T ), divide( Z, Z ) ) ) ) ) ] )
% 0.42/1.06 , 0, 2, substitution( 0, [ :=( X, divide( T, T ) ), :=( Y, inverse( X ) ),
% 0.42/1.06 :=( Z, Z ), :=( T, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 0.42/1.06 :=( Z, T ), :=( T, Z )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 258, [ =( X, multiply( divide( Y, Y ), X ) ) ] )
% 0.42/1.06 , clause( 1, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.42/1.06 , 0, clause( 257, [ =( X, divide( divide( T, T ), inverse( X ) ) ) ] )
% 0.42/1.06 , 0, 2, substitution( 0, [ :=( X, divide( Y, Y ) ), :=( Y, X )] ),
% 0.42/1.06 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 259, [ =( multiply( divide( Y, Y ), X ), X ) ] )
% 0.42/1.06 , clause( 258, [ =( X, multiply( divide( Y, Y ), X ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 39, [ =( multiply( divide( Y, Y ), X ), X ) ] )
% 0.42/1.06 , clause( 259, [ =( multiply( divide( Y, Y ), X ), X ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.06 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 260, [ =( divide( Z, Z ), divide( X, multiply( divide( Y, Y ), X )
% 0.42/1.06 ) ) ] )
% 0.42/1.06 , clause( 30, [ =( divide( Y, multiply( divide( X, X ), Y ) ), divide( Z, Z
% 0.42/1.06 ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 261, [ ~( =( a2, multiply( divide( X, X ), a2 ) ) ) ] )
% 0.42/1.06 , clause( 21, [ ~( =( multiply( divide( X, X ), a2 ), a2 ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 264, [ ~( =( a2, multiply( divide( Y, multiply( divide( Z, Z ), Y )
% 0.42/1.06 ), a2 ) ) ) ] )
% 0.42/1.06 , clause( 260, [ =( divide( Z, Z ), divide( X, multiply( divide( Y, Y ), X
% 0.42/1.06 ) ) ) ] )
% 0.42/1.06 , 0, clause( 261, [ ~( =( a2, multiply( divide( X, X ), a2 ) ) ) ] )
% 0.42/1.06 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.42/1.06 substitution( 1, [ :=( X, X )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 275, [ ~( =( a2, multiply( divide( X, X ), a2 ) ) ) ] )
% 0.42/1.06 , clause( 39, [ =( multiply( divide( Y, Y ), X ), X ) ] )
% 0.42/1.06 , 0, clause( 264, [ ~( =( a2, multiply( divide( Y, multiply( divide( Z, Z )
% 0.42/1.06 , Y ) ), a2 ) ) ) ] )
% 0.42/1.06 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.42/1.06 :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 277, [ ~( =( a2, a2 ) ) ] )
% 0.42/1.06 , clause( 39, [ =( multiply( divide( Y, Y ), X ), X ) ] )
% 0.42/1.06 , 0, clause( 275, [ ~( =( a2, multiply( divide( X, X ), a2 ) ) ) ] )
% 0.42/1.06 , 0, 3, substitution( 0, [ :=( X, a2 ), :=( Y, X )] ), substitution( 1, [
% 0.42/1.06 :=( X, X )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqrefl(
% 0.42/1.06 clause( 278, [] )
% 0.42/1.06 , clause( 277, [ ~( =( a2, a2 ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 40, [] )
% 0.42/1.06 , clause( 278, [] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 end.
% 0.42/1.06
% 0.42/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.06
% 0.42/1.06 Memory use:
% 0.42/1.06
% 0.42/1.06 space for terms: 657
% 0.42/1.06 space for clauses: 4859
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 clauses generated: 219
% 0.42/1.06 clauses kept: 41
% 0.42/1.06 clauses selected: 13
% 0.42/1.06 clauses deleted: 1
% 0.42/1.06 clauses inuse deleted: 0
% 0.42/1.06
% 0.42/1.06 subsentry: 3497
% 0.42/1.06 literals s-matched: 1144
% 0.42/1.06 literals matched: 205
% 0.42/1.06 full subsumption: 0
% 0.42/1.06
% 0.42/1.06 checksum: -595353918
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Bliksem ended
%------------------------------------------------------------------------------