TSTP Solution File: GRP550-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP550-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n004.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 07:37:34 EDT 2022
% Result : Unsatisfiable 0.70s 1.08s
% Output : Refutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP550-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Mon Jun 13 20:10:54 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.70/1.08 *** allocated 10000 integers for termspace/termends
% 0.70/1.08 *** allocated 10000 integers for clauses
% 0.70/1.08 *** allocated 10000 integers for justifications
% 0.70/1.08 Bliksem 1.12
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 Automatic Strategy Selection
% 0.70/1.08
% 0.70/1.08 Clauses:
% 0.70/1.08 [
% 0.70/1.08 [ =( divide( divide( identity, X ), divide( divide( divide( Y, X ), Z )
% 0.70/1.08 , Y ) ), Z ) ],
% 0.70/1.08 [ =( multiply( X, Y ), divide( X, divide( identity, Y ) ) ) ],
% 0.70/1.08 [ =( inverse( X ), divide( identity, X ) ) ],
% 0.70/1.08 [ =( identity, divide( X, X ) ) ],
% 0.70/1.08 [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ) ]
% 0.70/1.08 ] .
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 percentage equality = 1.000000, percentage horn = 1.000000
% 0.70/1.08 This is a pure equality problem
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 Options Used:
% 0.70/1.08
% 0.70/1.08 useres = 1
% 0.70/1.08 useparamod = 1
% 0.70/1.08 useeqrefl = 1
% 0.70/1.08 useeqfact = 1
% 0.70/1.08 usefactor = 1
% 0.70/1.08 usesimpsplitting = 0
% 0.70/1.08 usesimpdemod = 5
% 0.70/1.08 usesimpres = 3
% 0.70/1.08
% 0.70/1.08 resimpinuse = 1000
% 0.70/1.08 resimpclauses = 20000
% 0.70/1.08 substype = eqrewr
% 0.70/1.08 backwardsubs = 1
% 0.70/1.08 selectoldest = 5
% 0.70/1.08
% 0.70/1.08 litorderings [0] = split
% 0.70/1.08 litorderings [1] = extend the termordering, first sorting on arguments
% 0.70/1.08
% 0.70/1.08 termordering = kbo
% 0.70/1.08
% 0.70/1.08 litapriori = 0
% 0.70/1.08 termapriori = 1
% 0.70/1.08 litaposteriori = 0
% 0.70/1.08 termaposteriori = 0
% 0.70/1.08 demodaposteriori = 0
% 0.70/1.08 ordereqreflfact = 0
% 0.70/1.08
% 0.70/1.08 litselect = negord
% 0.70/1.08
% 0.70/1.08 maxweight = 15
% 0.70/1.08 maxdepth = 30000
% 0.70/1.08 maxlength = 115
% 0.70/1.08 maxnrvars = 195
% 0.70/1.08 excuselevel = 1
% 0.70/1.08 increasemaxweight = 1
% 0.70/1.08
% 0.70/1.08 maxselected = 10000000
% 0.70/1.08 maxnrclauses = 10000000
% 0.70/1.08
% 0.70/1.08 showgenerated = 0
% 0.70/1.08 showkept = 0
% 0.70/1.08 showselected = 0
% 0.70/1.08 showdeleted = 0
% 0.70/1.08 showresimp = 1
% 0.70/1.08 showstatus = 2000
% 0.70/1.08
% 0.70/1.08 prologoutput = 1
% 0.70/1.08 nrgoals = 5000000
% 0.70/1.08 totalproof = 1
% 0.70/1.08
% 0.70/1.08 Symbols occurring in the translation:
% 0.70/1.08
% 0.70/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.70/1.08 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.70/1.08 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.70/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.08 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.70/1.08 divide [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.70/1.08 multiply [44, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.70/1.08 inverse [45, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.70/1.08 b2 [46, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.70/1.08 a2 [47, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 Starting Search:
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 Bliksems!, er is een bewijs:
% 0.70/1.08 % SZS status Unsatisfiable
% 0.70/1.08 % SZS output start Refutation
% 0.70/1.08
% 0.70/1.08 clause( 0, [ =( divide( divide( identity, X ), divide( divide( divide( Y, X
% 0.70/1.08 ), Z ), Y ) ), Z ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 1, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 4, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ) ]
% 0.70/1.08 )
% 0.70/1.08 .
% 0.70/1.08 clause( 5, [ =( inverse( identity ), identity ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 7, [ =( divide( inverse( X ), divide( divide( divide( Y, X ), Z ),
% 0.70/1.08 Y ) ), Z ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 8, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 9, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 10, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 11, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 13, [ =( divide( inverse( Y ), divide( multiply( divide( X, Y ), Z
% 0.70/1.08 ), X ) ), inverse( Z ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 17, [ =( multiply( inverse( Y ), X ), divide( X, Y ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 19, [ =( divide( inverse( X ), identity ), inverse( X ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 20, [ =( divide( X, identity ), inverse( inverse( X ) ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 21, [ =( inverse( inverse( inverse( X ) ) ), inverse( X ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 32, [ =( multiply( Y, inverse( X ) ), divide( Y, X ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 41, [ =( inverse( inverse( Z ) ), Z ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 45, [] )
% 0.70/1.08 .
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 % SZS output end Refutation
% 0.70/1.08 found a proof!
% 0.70/1.08
% 0.70/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.08
% 0.70/1.08 initialclauses(
% 0.70/1.08 [ clause( 47, [ =( divide( divide( identity, X ), divide( divide( divide( Y
% 0.70/1.08 , X ), Z ), Y ) ), Z ) ] )
% 0.70/1.08 , clause( 48, [ =( multiply( X, Y ), divide( X, divide( identity, Y ) ) ) ]
% 0.70/1.08 )
% 0.70/1.08 , clause( 49, [ =( inverse( X ), divide( identity, X ) ) ] )
% 0.70/1.08 , clause( 50, [ =( identity, divide( X, X ) ) ] )
% 0.70/1.08 , clause( 51, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) )
% 0.70/1.08 ] )
% 0.70/1.08 ] ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 0, [ =( divide( divide( identity, X ), divide( divide( divide( Y, X
% 0.70/1.08 ), Z ), Y ) ), Z ) ] )
% 0.70/1.08 , clause( 47, [ =( divide( divide( identity, X ), divide( divide( divide( Y
% 0.70/1.08 , X ), Z ), Y ) ), Z ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.70/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 54, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ]
% 0.70/1.08 )
% 0.70/1.08 , clause( 48, [ =( multiply( X, Y ), divide( X, divide( identity, Y ) ) ) ]
% 0.70/1.08 )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 1, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ] )
% 0.70/1.08 , clause( 54, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ]
% 0.70/1.08 )
% 0.70/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.08 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 57, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.70/1.08 , clause( 49, [ =( inverse( X ), divide( identity, X ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.70/1.08 , clause( 57, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 61, [ =( divide( X, X ), identity ) ] )
% 0.70/1.08 , clause( 50, [ =( identity, divide( X, X ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.70/1.08 , clause( 61, [ =( divide( X, X ), identity ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 4, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ) ]
% 0.70/1.08 )
% 0.70/1.08 , clause( 51, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) )
% 0.70/1.08 ] )
% 0.70/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 67, [ =( inverse( X ), divide( identity, X ) ) ] )
% 0.70/1.08 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 69, [ =( inverse( identity ), identity ) ] )
% 0.70/1.08 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.70/1.08 , 0, clause( 67, [ =( inverse( X ), divide( identity, X ) ) ] )
% 0.70/1.08 , 0, 3, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.70/1.08 identity )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 5, [ =( inverse( identity ), identity ) ] )
% 0.70/1.08 , clause( 69, [ =( inverse( identity ), identity ) ] )
% 0.70/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 73, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.70/1.08 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.70/1.08 , 0, clause( 1, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) )
% 0.70/1.08 ] )
% 0.70/1.08 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.70/1.08 :=( Y, Y )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.70/1.08 , clause( 73, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.08 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 77, [ =( divide( inverse( X ), divide( divide( divide( Y, X ), Z )
% 0.70/1.08 , Y ) ), Z ) ] )
% 0.70/1.08 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.70/1.08 , 0, clause( 0, [ =( divide( divide( identity, X ), divide( divide( divide(
% 0.70/1.08 Y, X ), Z ), Y ) ), Z ) ] )
% 0.70/1.08 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.70/1.08 :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 7, [ =( divide( inverse( X ), divide( divide( divide( Y, X ), Z ),
% 0.70/1.08 Y ) ), Z ) ] )
% 0.70/1.08 , clause( 77, [ =( divide( inverse( X ), divide( divide( divide( Y, X ), Z
% 0.70/1.08 ), Y ) ), Z ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.70/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 80, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.70/1.08 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 81, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 0.70/1.08 , clause( 5, [ =( inverse( identity ), identity ) ] )
% 0.70/1.08 , 0, clause( 80, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.70/1.08 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 0.70/1.08 identity )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 8, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 0.70/1.08 , clause( 81, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 83, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.70/1.08 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 85, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.70/1.08 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.70/1.08 , 0, clause( 83, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.70/1.08 , 0, 4, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.70/1.08 :=( X, identity ), :=( Y, X )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 9, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.70/1.08 , clause( 85, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 87, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.70/1.08 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 89, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.70/1.08 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.70/1.08 , 0, clause( 87, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.70/1.08 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.70/1.08 :=( X, inverse( X ) ), :=( Y, X )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 10, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.70/1.08 , clause( 89, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 92, [ ~( =( a2, multiply( multiply( inverse( b2 ), b2 ), a2 ) ) ) ]
% 0.70/1.08 )
% 0.70/1.08 , clause( 4, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) )
% 0.70/1.08 ] )
% 0.70/1.08 , 0, substitution( 0, [] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 94, [ ~( =( a2, multiply( identity, a2 ) ) ) ] )
% 0.70/1.08 , clause( 10, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.70/1.08 , 0, clause( 92, [ ~( =( a2, multiply( multiply( inverse( b2 ), b2 ), a2 )
% 0.70/1.08 ) ) ] )
% 0.70/1.08 , 0, 4, substitution( 0, [ :=( X, b2 )] ), substitution( 1, [] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 95, [ ~( =( a2, inverse( inverse( a2 ) ) ) ) ] )
% 0.70/1.08 , clause( 9, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.70/1.08 , 0, clause( 94, [ ~( =( a2, multiply( identity, a2 ) ) ) ] )
% 0.70/1.08 , 0, 3, substitution( 0, [ :=( X, a2 )] ), substitution( 1, [] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 96, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.70/1.08 , clause( 95, [ ~( =( a2, inverse( inverse( a2 ) ) ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 11, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.70/1.08 , clause( 96, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.70/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 98, [ =( Z, divide( inverse( X ), divide( divide( divide( Y, X ), Z
% 0.70/1.08 ), Y ) ) ) ] )
% 0.70/1.08 , clause( 7, [ =( divide( inverse( X ), divide( divide( divide( Y, X ), Z )
% 0.70/1.08 , Y ) ), Z ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 100, [ =( inverse( X ), divide( inverse( Y ), divide( multiply(
% 0.70/1.08 divide( Z, Y ), X ), Z ) ) ) ] )
% 0.70/1.08 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.70/1.08 , 0, clause( 98, [ =( Z, divide( inverse( X ), divide( divide( divide( Y, X
% 0.70/1.08 ), Z ), Y ) ) ) ] )
% 0.70/1.08 , 0, 7, substitution( 0, [ :=( X, divide( Z, Y ) ), :=( Y, X )] ),
% 0.70/1.08 substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, inverse( X ) )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 103, [ =( divide( inverse( Y ), divide( multiply( divide( Z, Y ), X
% 0.70/1.08 ), Z ) ), inverse( X ) ) ] )
% 0.70/1.08 , clause( 100, [ =( inverse( X ), divide( inverse( Y ), divide( multiply(
% 0.70/1.08 divide( Z, Y ), X ), Z ) ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 13, [ =( divide( inverse( Y ), divide( multiply( divide( X, Y ), Z
% 0.70/1.08 ), X ) ), inverse( Z ) ) ] )
% 0.70/1.08 , clause( 103, [ =( divide( inverse( Y ), divide( multiply( divide( Z, Y )
% 0.70/1.08 , X ), Z ) ), inverse( X ) ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.70/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 106, [ =( Z, divide( inverse( X ), divide( divide( divide( Y, X ),
% 0.70/1.08 Z ), Y ) ) ) ] )
% 0.70/1.08 , clause( 7, [ =( divide( inverse( X ), divide( divide( divide( Y, X ), Z )
% 0.70/1.08 , Y ) ), Z ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 109, [ =( divide( X, Y ), divide( inverse( Y ), divide( identity, X
% 0.70/1.08 ) ) ) ] )
% 0.70/1.08 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.70/1.08 , 0, clause( 106, [ =( Z, divide( inverse( X ), divide( divide( divide( Y,
% 0.70/1.08 X ), Z ), Y ) ) ) ] )
% 0.70/1.08 , 0, 8, substitution( 0, [ :=( X, divide( X, Y ) )] ), substitution( 1, [
% 0.70/1.08 :=( X, Y ), :=( Y, X ), :=( Z, divide( X, Y ) )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 112, [ =( divide( X, Y ), divide( inverse( Y ), inverse( X ) ) ) ]
% 0.70/1.08 )
% 0.70/1.08 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.70/1.08 , 0, clause( 109, [ =( divide( X, Y ), divide( inverse( Y ), divide(
% 0.70/1.08 identity, X ) ) ) ] )
% 0.70/1.08 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.70/1.08 :=( Y, Y )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 113, [ =( divide( X, Y ), multiply( inverse( Y ), X ) ) ] )
% 0.70/1.08 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.70/1.08 , 0, clause( 112, [ =( divide( X, Y ), divide( inverse( Y ), inverse( X ) )
% 0.70/1.08 ) ] )
% 0.70/1.08 , 0, 4, substitution( 0, [ :=( X, inverse( Y ) ), :=( Y, X )] ),
% 0.70/1.08 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 114, [ =( multiply( inverse( Y ), X ), divide( X, Y ) ) ] )
% 0.70/1.08 , clause( 113, [ =( divide( X, Y ), multiply( inverse( Y ), X ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 17, [ =( multiply( inverse( Y ), X ), divide( X, Y ) ) ] )
% 0.70/1.08 , clause( 114, [ =( multiply( inverse( Y ), X ), divide( X, Y ) ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.08 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 115, [ =( divide( Y, X ), multiply( inverse( X ), Y ) ) ] )
% 0.70/1.08 , clause( 17, [ =( multiply( inverse( Y ), X ), divide( X, Y ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 118, [ =( divide( identity, X ), divide( inverse( X ), identity ) )
% 0.70/1.08 ] )
% 0.70/1.08 , clause( 8, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 0.70/1.08 , 0, clause( 115, [ =( divide( Y, X ), multiply( inverse( X ), Y ) ) ] )
% 0.70/1.08 , 0, 4, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.70/1.08 :=( X, X ), :=( Y, identity )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 119, [ =( inverse( X ), divide( inverse( X ), identity ) ) ] )
% 0.70/1.08 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.70/1.08 , 0, clause( 118, [ =( divide( identity, X ), divide( inverse( X ),
% 0.70/1.08 identity ) ) ] )
% 0.70/1.08 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.70/1.08 ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 120, [ =( divide( inverse( X ), identity ), inverse( X ) ) ] )
% 0.70/1.08 , clause( 119, [ =( inverse( X ), divide( inverse( X ), identity ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 19, [ =( divide( inverse( X ), identity ), inverse( X ) ) ] )
% 0.70/1.08 , clause( 120, [ =( divide( inverse( X ), identity ), inverse( X ) ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 122, [ =( divide( Y, X ), multiply( inverse( X ), Y ) ) ] )
% 0.70/1.08 , clause( 17, [ =( multiply( inverse( Y ), X ), divide( X, Y ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 124, [ =( divide( X, identity ), multiply( identity, X ) ) ] )
% 0.70/1.08 , clause( 5, [ =( inverse( identity ), identity ) ] )
% 0.70/1.08 , 0, clause( 122, [ =( divide( Y, X ), multiply( inverse( X ), Y ) ) ] )
% 0.70/1.08 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, identity ), :=( Y
% 0.70/1.08 , X )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 125, [ =( divide( X, identity ), inverse( inverse( X ) ) ) ] )
% 0.70/1.08 , clause( 9, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.70/1.08 , 0, clause( 124, [ =( divide( X, identity ), multiply( identity, X ) ) ]
% 0.70/1.08 )
% 0.70/1.08 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.70/1.08 ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 20, [ =( divide( X, identity ), inverse( inverse( X ) ) ) ] )
% 0.70/1.08 , clause( 125, [ =( divide( X, identity ), inverse( inverse( X ) ) ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 129, [ =( inverse( inverse( inverse( X ) ) ), inverse( X ) ) ] )
% 0.70/1.08 , clause( 20, [ =( divide( X, identity ), inverse( inverse( X ) ) ) ] )
% 0.70/1.08 , 0, clause( 19, [ =( divide( inverse( X ), identity ), inverse( X ) ) ] )
% 0.70/1.08 , 0, 1, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.70/1.08 :=( X, X )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 21, [ =( inverse( inverse( inverse( X ) ) ), inverse( X ) ) ] )
% 0.70/1.08 , clause( 129, [ =( inverse( inverse( inverse( X ) ) ), inverse( X ) ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 132, [ =( divide( Y, X ), multiply( inverse( X ), Y ) ) ] )
% 0.70/1.08 , clause( 17, [ =( multiply( inverse( Y ), X ), divide( X, Y ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 135, [ =( divide( X, inverse( inverse( Y ) ) ), multiply( inverse(
% 0.70/1.08 Y ), X ) ) ] )
% 0.70/1.08 , clause( 21, [ =( inverse( inverse( inverse( X ) ) ), inverse( X ) ) ] )
% 0.70/1.08 , 0, clause( 132, [ =( divide( Y, X ), multiply( inverse( X ), Y ) ) ] )
% 0.70/1.08 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, inverse(
% 0.70/1.08 inverse( Y ) ) ), :=( Y, X )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 136, [ =( divide( X, inverse( inverse( Y ) ) ), divide( X, Y ) ) ]
% 0.70/1.08 )
% 0.70/1.08 , clause( 17, [ =( multiply( inverse( Y ), X ), divide( X, Y ) ) ] )
% 0.70/1.08 , 0, clause( 135, [ =( divide( X, inverse( inverse( Y ) ) ), multiply(
% 0.70/1.08 inverse( Y ), X ) ) ] )
% 0.70/1.08 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.70/1.08 :=( X, X ), :=( Y, Y )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 137, [ =( multiply( X, inverse( Y ) ), divide( X, Y ) ) ] )
% 0.70/1.08 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.70/1.08 , 0, clause( 136, [ =( divide( X, inverse( inverse( Y ) ) ), divide( X, Y )
% 0.70/1.08 ) ] )
% 0.70/1.08 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, inverse( Y ) )] ),
% 0.70/1.08 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 32, [ =( multiply( Y, inverse( X ) ), divide( Y, X ) ) ] )
% 0.70/1.08 , clause( 137, [ =( multiply( X, inverse( Y ) ), divide( X, Y ) ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.08 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 140, [ =( inverse( Z ), divide( inverse( X ), divide( multiply(
% 0.70/1.08 divide( Y, X ), Z ), Y ) ) ) ] )
% 0.70/1.08 , clause( 13, [ =( divide( inverse( Y ), divide( multiply( divide( X, Y ),
% 0.70/1.08 Z ), X ) ), inverse( Z ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 143, [ =( inverse( inverse( X ) ), divide( inverse( Y ), divide(
% 0.70/1.08 divide( divide( Z, Y ), X ), Z ) ) ) ] )
% 0.70/1.08 , clause( 32, [ =( multiply( Y, inverse( X ) ), divide( Y, X ) ) ] )
% 0.70/1.08 , 0, clause( 140, [ =( inverse( Z ), divide( inverse( X ), divide( multiply(
% 0.70/1.08 divide( Y, X ), Z ), Y ) ) ) ] )
% 0.70/1.08 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, divide( Z, Y ) )] ),
% 0.70/1.08 substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, inverse( X ) )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 144, [ =( inverse( inverse( X ) ), X ) ] )
% 0.70/1.08 , clause( 7, [ =( divide( inverse( X ), divide( divide( divide( Y, X ), Z )
% 0.70/1.08 , Y ) ), Z ) ] )
% 0.70/1.08 , 0, clause( 143, [ =( inverse( inverse( X ) ), divide( inverse( Y ),
% 0.70/1.08 divide( divide( divide( Z, Y ), X ), Z ) ) ) ] )
% 0.70/1.08 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.70/1.08 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 41, [ =( inverse( inverse( Z ) ), Z ) ] )
% 0.70/1.08 , clause( 144, [ =( inverse( inverse( X ) ), X ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, Z )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 146, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.70/1.08 , clause( 41, [ =( inverse( inverse( Z ) ), Z ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 147, [ ~( =( a2, inverse( inverse( a2 ) ) ) ) ] )
% 0.70/1.08 , clause( 11, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 resolution(
% 0.70/1.08 clause( 148, [] )
% 0.70/1.08 , clause( 147, [ ~( =( a2, inverse( inverse( a2 ) ) ) ) ] )
% 0.70/1.08 , 0, clause( 146, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a2 )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 45, [] )
% 0.70/1.08 , clause( 148, [] )
% 0.70/1.08 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 end.
% 0.70/1.08
% 0.70/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.08
% 0.70/1.08 Memory use:
% 0.70/1.08
% 0.70/1.08 space for terms: 550
% 0.70/1.08 space for clauses: 4955
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 clauses generated: 179
% 0.70/1.08 clauses kept: 46
% 0.70/1.08 clauses selected: 19
% 0.70/1.08 clauses deleted: 3
% 0.70/1.08 clauses inuse deleted: 0
% 0.70/1.08
% 0.70/1.08 subsentry: 272
% 0.70/1.08 literals s-matched: 103
% 0.70/1.08 literals matched: 103
% 0.70/1.08 full subsumption: 0
% 0.70/1.08
% 0.70/1.08 checksum: -2146313919
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 Bliksem ended
%------------------------------------------------------------------------------