TSTP Solution File: GRP527-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP527-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 0.70s 1.09s
% Output : Refutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP527-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n018.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 : Tue Jun 14 11:39:13 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.70/1.09 *** allocated 10000 integers for termspace/termends
% 0.70/1.09 *** allocated 10000 integers for clauses
% 0.70/1.09 *** allocated 10000 integers for justifications
% 0.70/1.09 Bliksem 1.12
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Automatic Strategy Selection
% 0.70/1.09
% 0.70/1.09 Clauses:
% 0.70/1.09 [
% 0.70/1.09 [ =( divide( X, divide( divide( X, Y ), divide( Z, Y ) ) ), Z ) ],
% 0.70/1.09 [ =( multiply( X, Y ), divide( X, divide( divide( Z, Z ), Y ) ) ) ],
% 0.70/1.09 [ =( inverse( X ), divide( divide( Y, Y ), X ) ) ],
% 0.70/1.09 [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3, multiply( b3,
% 0.70/1.09 c3 ) ) ) ) ]
% 0.70/1.09 ] .
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 percentage equality = 1.000000, percentage horn = 1.000000
% 0.70/1.09 This is a pure equality problem
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Options Used:
% 0.70/1.09
% 0.70/1.09 useres = 1
% 0.70/1.09 useparamod = 1
% 0.70/1.09 useeqrefl = 1
% 0.70/1.09 useeqfact = 1
% 0.70/1.09 usefactor = 1
% 0.70/1.09 usesimpsplitting = 0
% 0.70/1.09 usesimpdemod = 5
% 0.70/1.09 usesimpres = 3
% 0.70/1.09
% 0.70/1.09 resimpinuse = 1000
% 0.70/1.09 resimpclauses = 20000
% 0.70/1.09 substype = eqrewr
% 0.70/1.09 backwardsubs = 1
% 0.70/1.09 selectoldest = 5
% 0.70/1.09
% 0.70/1.09 litorderings [0] = split
% 0.70/1.09 litorderings [1] = extend the termordering, first sorting on arguments
% 0.70/1.09
% 0.70/1.09 termordering = kbo
% 0.70/1.09
% 0.70/1.09 litapriori = 0
% 0.70/1.09 termapriori = 1
% 0.70/1.09 litaposteriori = 0
% 0.70/1.09 termaposteriori = 0
% 0.70/1.09 demodaposteriori = 0
% 0.70/1.09 ordereqreflfact = 0
% 0.70/1.09
% 0.70/1.09 litselect = negord
% 0.70/1.09
% 0.70/1.09 maxweight = 15
% 0.70/1.09 maxdepth = 30000
% 0.70/1.09 maxlength = 115
% 0.70/1.09 maxnrvars = 195
% 0.70/1.09 excuselevel = 1
% 0.70/1.09 increasemaxweight = 1
% 0.70/1.09
% 0.70/1.09 maxselected = 10000000
% 0.70/1.09 maxnrclauses = 10000000
% 0.70/1.09
% 0.70/1.09 showgenerated = 0
% 0.70/1.09 showkept = 0
% 0.70/1.09 showselected = 0
% 0.70/1.09 showdeleted = 0
% 0.70/1.09 showresimp = 1
% 0.70/1.09 showstatus = 2000
% 0.70/1.09
% 0.70/1.09 prologoutput = 1
% 0.70/1.09 nrgoals = 5000000
% 0.70/1.09 totalproof = 1
% 0.70/1.09
% 0.70/1.09 Symbols occurring in the translation:
% 0.70/1.09
% 0.70/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.70/1.09 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.70/1.09 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.70/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.09 divide [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.70/1.09 multiply [43, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.70/1.09 inverse [44, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.70/1.09 a3 [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.70/1.09 b3 [46, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.70/1.09 c3 [47, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Starting Search:
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Bliksems!, er is een bewijs:
% 0.70/1.09 % SZS status Unsatisfiable
% 0.70/1.09 % SZS output start Refutation
% 0.70/1.09
% 0.70/1.09 clause( 0, [ =( divide( X, divide( divide( X, Y ), divide( Z, Y ) ) ), Z )
% 0.70/1.09 ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 1, [ =( divide( X, divide( divide( Z, Z ), Y ) ), multiply( X, Y )
% 0.70/1.09 ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 2, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 3, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.70/1.09 a3, b3 ), c3 ) ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 4, [ =( divide( inverse( divide( X, X ) ), Y ), inverse( Y ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 9, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 10, [ =( divide( divide( X, divide( Y, Z ) ), Z ), divide( X, Y ) )
% 0.70/1.09 ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 16, [ =( multiply( X, divide( Y, X ) ), Y ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 21, [ =( multiply( Y, inverse( Y ) ), divide( X, X ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 22, [ =( divide( Y, Y ), divide( Z, Z ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 36, [ =( divide( Y, Y ), inverse( divide( X, X ) ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 93, [ =( divide( divide( X, Y ), X ), inverse( Y ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 100, [ =( inverse( divide( Y, X ) ), divide( X, Y ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 102, [ =( divide( Z, divide( X, Y ) ), divide( multiply( Z, Y ), X
% 0.70/1.09 ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 105, [ =( divide( inverse( Y ), X ), inverse( multiply( X, Y ) ) )
% 0.70/1.09 ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 133, [ =( multiply( Z, multiply( Y, X ) ), multiply( multiply( Z, Y
% 0.70/1.09 ), X ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 137, [] )
% 0.70/1.09 .
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 % SZS output end Refutation
% 0.70/1.09 found a proof!
% 0.70/1.09
% 0.70/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.09
% 0.70/1.09 initialclauses(
% 0.70/1.09 [ clause( 139, [ =( divide( X, divide( divide( X, Y ), divide( Z, Y ) ) ),
% 0.70/1.09 Z ) ] )
% 0.70/1.09 , clause( 140, [ =( multiply( X, Y ), divide( X, divide( divide( Z, Z ), Y
% 0.70/1.09 ) ) ) ] )
% 0.70/1.09 , clause( 141, [ =( inverse( X ), divide( divide( Y, Y ), X ) ) ] )
% 0.70/1.09 , clause( 142, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3,
% 0.70/1.09 multiply( b3, c3 ) ) ) ) ] )
% 0.70/1.09 ] ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 0, [ =( divide( X, divide( divide( X, Y ), divide( Z, Y ) ) ), Z )
% 0.70/1.09 ] )
% 0.70/1.09 , clause( 139, [ =( divide( X, divide( divide( X, Y ), divide( Z, Y ) ) ),
% 0.70/1.09 Z ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.70/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 145, [ =( divide( X, divide( divide( Z, Z ), Y ) ), multiply( X, Y
% 0.70/1.09 ) ) ] )
% 0.70/1.09 , clause( 140, [ =( multiply( X, Y ), divide( X, divide( divide( Z, Z ), Y
% 0.70/1.09 ) ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 1, [ =( divide( X, divide( divide( Z, Z ), Y ) ), multiply( X, Y )
% 0.70/1.09 ) ] )
% 0.70/1.09 , clause( 145, [ =( divide( X, divide( divide( Z, Z ), Y ) ), multiply( X,
% 0.70/1.09 Y ) ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.70/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 148, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.70/1.09 , clause( 141, [ =( inverse( X ), divide( divide( Y, Y ), X ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 2, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.70/1.09 , clause( 148, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.09 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 152, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.70/1.09 a3, b3 ), c3 ) ) ) ] )
% 0.70/1.09 , clause( 142, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3,
% 0.70/1.09 multiply( b3, c3 ) ) ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 3, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.70/1.09 a3, b3 ), c3 ) ) ) ] )
% 0.70/1.09 , clause( 152, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 0.70/1.09 multiply( a3, b3 ), c3 ) ) ) ] )
% 0.70/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 153, [ =( inverse( Y ), divide( divide( X, X ), Y ) ) ] )
% 0.70/1.09 , clause( 2, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 156, [ =( inverse( X ), divide( inverse( divide( Y, Y ) ), X ) ) ]
% 0.70/1.09 )
% 0.70/1.09 , clause( 2, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.70/1.09 , 0, clause( 153, [ =( inverse( Y ), divide( divide( X, X ), Y ) ) ] )
% 0.70/1.09 , 0, 4, substitution( 0, [ :=( X, divide( Y, Y ) ), :=( Y, Y )] ),
% 0.70/1.09 substitution( 1, [ :=( X, divide( Y, Y ) ), :=( Y, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 157, [ =( divide( inverse( divide( Y, Y ) ), X ), inverse( X ) ) ]
% 0.70/1.09 )
% 0.70/1.09 , clause( 156, [ =( inverse( X ), divide( inverse( divide( Y, Y ) ), X ) )
% 0.70/1.09 ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 4, [ =( divide( inverse( divide( X, X ) ), Y ), inverse( Y ) ) ] )
% 0.70/1.09 , clause( 157, [ =( divide( inverse( divide( Y, Y ) ), X ), inverse( X ) )
% 0.70/1.09 ] )
% 0.70/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.09 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 160, [ =( divide( X, inverse( Z ) ), multiply( X, Z ) ) ] )
% 0.70/1.09 , clause( 2, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.70/1.09 , 0, clause( 1, [ =( divide( X, divide( divide( Z, Z ), Y ) ), multiply( X
% 0.70/1.09 , Y ) ) ] )
% 0.70/1.09 , 0, 3, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.70/1.09 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 9, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.70/1.09 , clause( 160, [ =( divide( X, inverse( Z ) ), multiply( X, Z ) ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.70/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 162, [ =( Z, divide( X, divide( divide( X, Y ), divide( Z, Y ) ) )
% 0.70/1.09 ) ] )
% 0.70/1.09 , clause( 0, [ =( divide( X, divide( divide( X, Y ), divide( Z, Y ) ) ), Z
% 0.70/1.09 ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 165, [ =( divide( divide( X, divide( Y, Z ) ), Z ), divide( X, Y )
% 0.70/1.09 ) ] )
% 0.70/1.09 , clause( 0, [ =( divide( X, divide( divide( X, Y ), divide( Z, Y ) ) ), Z
% 0.70/1.09 ) ] )
% 0.70/1.09 , 0, clause( 162, [ =( Z, divide( X, divide( divide( X, Y ), divide( Z, Y )
% 0.70/1.09 ) ) ) ] )
% 0.70/1.09 , 0, 10, substitution( 0, [ :=( X, divide( X, divide( Y, Z ) ) ), :=( Y, Z
% 0.70/1.09 ), :=( Z, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, divide( Y, Z ) )
% 0.70/1.09 , :=( Z, divide( divide( X, divide( Y, Z ) ), Z ) )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 10, [ =( divide( divide( X, divide( Y, Z ) ), Z ), divide( X, Y ) )
% 0.70/1.09 ] )
% 0.70/1.09 , clause( 165, [ =( divide( divide( X, divide( Y, Z ) ), Z ), divide( X, Y
% 0.70/1.09 ) ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.70/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 172, [ =( Z, divide( X, divide( divide( X, Y ), divide( Z, Y ) ) )
% 0.70/1.09 ) ] )
% 0.70/1.09 , clause( 0, [ =( divide( X, divide( divide( X, Y ), divide( Z, Y ) ) ), Z
% 0.70/1.09 ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 176, [ =( X, divide( Y, inverse( divide( X, Y ) ) ) ) ] )
% 0.70/1.09 , clause( 2, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.70/1.09 , 0, clause( 172, [ =( Z, divide( X, divide( divide( X, Y ), divide( Z, Y )
% 0.70/1.09 ) ) ) ] )
% 0.70/1.09 , 0, 4, substitution( 0, [ :=( X, divide( X, Y ) ), :=( Y, Y )] ),
% 0.70/1.09 substitution( 1, [ :=( X, Y ), :=( Y, Y ), :=( Z, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 182, [ =( X, multiply( Y, divide( X, Y ) ) ) ] )
% 0.70/1.09 , clause( 9, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.70/1.09 , 0, clause( 176, [ =( X, divide( Y, inverse( divide( X, Y ) ) ) ) ] )
% 0.70/1.09 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, divide( X, Y ) )] ),
% 0.70/1.09 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 183, [ =( multiply( Y, divide( X, Y ) ), X ) ] )
% 0.70/1.09 , clause( 182, [ =( X, multiply( Y, divide( X, Y ) ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 16, [ =( multiply( X, divide( Y, X ) ), Y ) ] )
% 0.70/1.09 , clause( 183, [ =( multiply( Y, divide( X, Y ) ), X ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.09 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 185, [ =( Y, multiply( X, divide( Y, X ) ) ) ] )
% 0.70/1.09 , clause( 16, [ =( multiply( X, divide( Y, X ) ), Y ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 186, [ =( divide( X, X ), multiply( Y, inverse( Y ) ) ) ] )
% 0.70/1.09 , clause( 2, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.70/1.09 , 0, clause( 185, [ =( Y, multiply( X, divide( Y, X ) ) ) ] )
% 0.70/1.09 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.70/1.09 :=( X, Y ), :=( Y, divide( X, X ) )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 187, [ =( multiply( Y, inverse( Y ) ), divide( X, X ) ) ] )
% 0.70/1.09 , clause( 186, [ =( divide( X, X ), multiply( Y, inverse( Y ) ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 21, [ =( multiply( Y, inverse( Y ) ), divide( X, X ) ) ] )
% 0.70/1.09 , clause( 187, [ =( multiply( Y, inverse( Y ) ), divide( X, X ) ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.09 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 188, [ =( divide( Y, Y ), multiply( X, inverse( X ) ) ) ] )
% 0.70/1.09 , clause( 21, [ =( multiply( Y, inverse( Y ) ), divide( X, X ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 193, [ =( divide( X, X ), divide( Z, Z ) ) ] )
% 0.70/1.09 , clause( 21, [ =( multiply( Y, inverse( Y ) ), divide( X, X ) ) ] )
% 0.70/1.09 , 0, clause( 188, [ =( divide( Y, Y ), multiply( X, inverse( X ) ) ) ] )
% 0.70/1.09 , 0, 4, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.70/1.09 :=( X, Y ), :=( Y, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 22, [ =( divide( Y, Y ), divide( Z, Z ) ) ] )
% 0.70/1.09 , clause( 193, [ =( divide( X, X ), divide( Z, Z ) ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, T ), :=( Z, Z )] ),
% 0.70/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 194, [ =( inverse( Y ), divide( divide( X, X ), Y ) ) ] )
% 0.70/1.09 , clause( 2, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 195, [ =( inverse( divide( X, X ) ), divide( Y, Y ) ) ] )
% 0.70/1.09 , clause( 22, [ =( divide( Y, Y ), divide( Z, Z ) ) ] )
% 0.70/1.09 , 0, clause( 194, [ =( inverse( Y ), divide( divide( X, X ), Y ) ) ] )
% 0.70/1.09 , 0, 5, substitution( 0, [ :=( X, Z ), :=( Y, divide( X, X ) ), :=( Z, Y )] )
% 0.70/1.09 , substitution( 1, [ :=( X, X ), :=( Y, divide( X, X ) )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 197, [ =( divide( Y, Y ), inverse( divide( X, X ) ) ) ] )
% 0.70/1.09 , clause( 195, [ =( inverse( divide( X, X ) ), divide( Y, Y ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 36, [ =( divide( Y, Y ), inverse( divide( X, X ) ) ) ] )
% 0.70/1.09 , clause( 197, [ =( divide( Y, Y ), inverse( divide( X, X ) ) ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.09 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 200, [ =( divide( X, Y ), divide( divide( X, divide( Y, Z ) ), Z )
% 0.70/1.09 ) ] )
% 0.70/1.09 , clause( 10, [ =( divide( divide( X, divide( Y, Z ) ), Z ), divide( X, Y )
% 0.70/1.09 ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 203, [ =( divide( divide( X, Y ), X ), divide( inverse( divide( Z,
% 0.70/1.09 Z ) ), Y ) ) ] )
% 0.70/1.09 , clause( 36, [ =( divide( Y, Y ), inverse( divide( X, X ) ) ) ] )
% 0.70/1.09 , 0, clause( 200, [ =( divide( X, Y ), divide( divide( X, divide( Y, Z ) )
% 0.70/1.09 , Z ) ) ] )
% 0.70/1.09 , 0, 7, substitution( 0, [ :=( X, Z ), :=( Y, divide( X, Y ) )] ),
% 0.70/1.09 substitution( 1, [ :=( X, divide( X, Y ) ), :=( Y, X ), :=( Z, Y )] )
% 0.70/1.09 ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 215, [ =( divide( divide( X, Y ), X ), inverse( Y ) ) ] )
% 0.70/1.09 , clause( 4, [ =( divide( inverse( divide( X, X ) ), Y ), inverse( Y ) ) ]
% 0.70/1.09 )
% 0.70/1.09 , 0, clause( 203, [ =( divide( divide( X, Y ), X ), divide( inverse( divide(
% 0.70/1.09 Z, Z ) ), Y ) ) ] )
% 0.70/1.09 , 0, 6, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.70/1.09 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 93, [ =( divide( divide( X, Y ), X ), inverse( Y ) ) ] )
% 0.70/1.09 , clause( 215, [ =( divide( divide( X, Y ), X ), inverse( Y ) ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.09 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 217, [ =( inverse( Y ), divide( divide( X, Y ), X ) ) ] )
% 0.70/1.09 , clause( 93, [ =( divide( divide( X, Y ), X ), inverse( Y ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 219, [ =( inverse( divide( X, Y ) ), divide( Y, X ) ) ] )
% 0.70/1.09 , clause( 10, [ =( divide( divide( X, divide( Y, Z ) ), Z ), divide( X, Y )
% 0.70/1.09 ) ] )
% 0.70/1.09 , 0, clause( 217, [ =( inverse( Y ), divide( divide( X, Y ), X ) ) ] )
% 0.70/1.09 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Y )] ),
% 0.70/1.09 substitution( 1, [ :=( X, Y ), :=( Y, divide( X, Y ) )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 100, [ =( inverse( divide( Y, X ) ), divide( X, Y ) ) ] )
% 0.70/1.09 , clause( 219, [ =( inverse( divide( X, Y ) ), divide( Y, X ) ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.09 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 224, [ =( divide( X, Y ), divide( divide( X, divide( Y, Z ) ), Z )
% 0.70/1.09 ) ] )
% 0.70/1.09 , clause( 10, [ =( divide( divide( X, divide( Y, Z ) ), Z ), divide( X, Y )
% 0.70/1.09 ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 231, [ =( divide( X, divide( Y, Z ) ), divide( divide( X, inverse(
% 0.70/1.09 Z ) ), Y ) ) ] )
% 0.70/1.09 , clause( 93, [ =( divide( divide( X, Y ), X ), inverse( Y ) ) ] )
% 0.70/1.09 , 0, clause( 224, [ =( divide( X, Y ), divide( divide( X, divide( Y, Z ) )
% 0.70/1.09 , Z ) ) ] )
% 0.70/1.09 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.70/1.09 :=( X, X ), :=( Y, divide( Y, Z ) ), :=( Z, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 232, [ =( divide( X, divide( Y, Z ) ), divide( multiply( X, Z ), Y
% 0.70/1.09 ) ) ] )
% 0.70/1.09 , clause( 9, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.70/1.09 , 0, clause( 231, [ =( divide( X, divide( Y, Z ) ), divide( divide( X,
% 0.70/1.09 inverse( Z ) ), Y ) ) ] )
% 0.70/1.09 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [
% 0.70/1.09 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 102, [ =( divide( Z, divide( X, Y ) ), divide( multiply( Z, Y ), X
% 0.70/1.09 ) ) ] )
% 0.70/1.09 , clause( 232, [ =( divide( X, divide( Y, Z ) ), divide( multiply( X, Z ),
% 0.70/1.09 Y ) ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.70/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 235, [ =( divide( Y, X ), inverse( divide( X, Y ) ) ) ] )
% 0.70/1.09 , clause( 100, [ =( inverse( divide( Y, X ) ), divide( X, Y ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 239, [ =( divide( inverse( X ), Y ), inverse( multiply( Y, X ) ) )
% 0.70/1.09 ] )
% 0.70/1.09 , clause( 9, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.70/1.09 , 0, clause( 235, [ =( divide( Y, X ), inverse( divide( X, Y ) ) ) ] )
% 0.70/1.09 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.70/1.09 :=( X, Y ), :=( Y, inverse( X ) )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 105, [ =( divide( inverse( Y ), X ), inverse( multiply( X, Y ) ) )
% 0.70/1.09 ] )
% 0.70/1.09 , clause( 239, [ =( divide( inverse( X ), Y ), inverse( multiply( Y, X ) )
% 0.70/1.09 ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.09 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 243, [ =( divide( multiply( X, Z ), Y ), divide( X, divide( Y, Z )
% 0.70/1.09 ) ) ] )
% 0.70/1.09 , clause( 102, [ =( divide( Z, divide( X, Y ) ), divide( multiply( Z, Y ),
% 0.70/1.09 X ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 248, [ =( divide( multiply( X, Y ), inverse( Z ) ), divide( X,
% 0.70/1.09 inverse( multiply( Y, Z ) ) ) ) ] )
% 0.70/1.09 , clause( 105, [ =( divide( inverse( Y ), X ), inverse( multiply( X, Y ) )
% 0.70/1.09 ) ] )
% 0.70/1.09 , 0, clause( 243, [ =( divide( multiply( X, Z ), Y ), divide( X, divide( Y
% 0.70/1.09 , Z ) ) ) ] )
% 0.70/1.09 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.70/1.09 :=( X, X ), :=( Y, inverse( Z ) ), :=( Z, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 250, [ =( divide( multiply( X, Y ), inverse( Z ) ), multiply( X,
% 0.70/1.09 multiply( Y, Z ) ) ) ] )
% 0.70/1.09 , clause( 9, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.70/1.09 , 0, clause( 248, [ =( divide( multiply( X, Y ), inverse( Z ) ), divide( X
% 0.70/1.09 , inverse( multiply( Y, Z ) ) ) ) ] )
% 0.70/1.09 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, multiply( Y, Z ) )] ),
% 0.70/1.09 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 252, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y
% 0.70/1.09 , Z ) ) ) ] )
% 0.70/1.09 , clause( 9, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.70/1.09 , 0, clause( 250, [ =( divide( multiply( X, Y ), inverse( Z ) ), multiply(
% 0.70/1.09 X, multiply( Y, Z ) ) ) ] )
% 0.70/1.09 , 0, 1, substitution( 0, [ :=( X, multiply( X, Y ) ), :=( Y, Z )] ),
% 0.70/1.09 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 253, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.70/1.09 ), Z ) ) ] )
% 0.70/1.09 , clause( 252, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.70/1.09 Y, Z ) ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 133, [ =( multiply( Z, multiply( Y, X ) ), multiply( multiply( Z, Y
% 0.70/1.09 ), X ) ) ] )
% 0.70/1.09 , clause( 253, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 0.70/1.09 , Y ), Z ) ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.70/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 254, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y
% 0.70/1.09 , Z ) ) ) ] )
% 0.70/1.09 , clause( 133, [ =( multiply( Z, multiply( Y, X ) ), multiply( multiply( Z
% 0.70/1.09 , Y ), X ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 255, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3,
% 0.70/1.09 multiply( b3, c3 ) ) ) ) ] )
% 0.70/1.09 , clause( 3, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.70/1.09 a3, b3 ), c3 ) ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 resolution(
% 0.70/1.09 clause( 256, [] )
% 0.70/1.09 , clause( 255, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3,
% 0.70/1.09 multiply( b3, c3 ) ) ) ) ] )
% 0.70/1.09 , 0, clause( 254, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.70/1.09 multiply( Y, Z ) ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a3 ), :=( Y, b3 ),
% 0.70/1.09 :=( Z, c3 )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 137, [] )
% 0.70/1.09 , clause( 256, [] )
% 0.70/1.09 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 end.
% 0.70/1.09
% 0.70/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.09
% 0.70/1.09 Memory use:
% 0.70/1.09
% 0.70/1.09 space for terms: 1575
% 0.70/1.09 space for clauses: 13961
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 clauses generated: 1179
% 0.70/1.09 clauses kept: 138
% 0.70/1.09 clauses selected: 34
% 0.70/1.09 clauses deleted: 46
% 0.70/1.09 clauses inuse deleted: 0
% 0.70/1.09
% 0.70/1.09 subsentry: 775
% 0.70/1.09 literals s-matched: 511
% 0.70/1.09 literals matched: 505
% 0.70/1.09 full subsumption: 0
% 0.70/1.09
% 0.70/1.09 checksum: 1464781815
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Bliksem ended
%------------------------------------------------------------------------------