TSTP Solution File: GRP455-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP455-1 : 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 07:37:06 EDT 2022
% Result : Unsatisfiable 0.43s 1.07s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP455-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : bliksem %s
% 0.12/0.33 % Computer : n018.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
% 0.12/0.34 % DateTime : Mon Jun 13 09:35:42 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.43/1.07 *** allocated 10000 integers for termspace/termends
% 0.43/1.07 *** allocated 10000 integers for clauses
% 0.43/1.07 *** allocated 10000 integers for justifications
% 0.43/1.07 Bliksem 1.12
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Automatic Strategy Selection
% 0.43/1.07
% 0.43/1.07 Clauses:
% 0.43/1.07 [
% 0.43/1.07 [ =( divide( divide( identity, divide( X, divide( Y, divide( divide(
% 0.43/1.07 divide( X, X ), X ), Z ) ) ) ), Z ), Y ) ],
% 0.43/1.07 [ =( multiply( X, Y ), divide( X, divide( identity, Y ) ) ) ],
% 0.43/1.07 [ =( inverse( X ), divide( identity, X ) ) ],
% 0.43/1.07 [ =( identity, divide( X, X ) ) ],
% 0.43/1.07 [ ~( =( multiply( identity, a2 ), a2 ) ) ]
% 0.43/1.07 ] .
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 percentage equality = 1.000000, percentage horn = 1.000000
% 0.43/1.07 This is a pure equality problem
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Options Used:
% 0.43/1.07
% 0.43/1.07 useres = 1
% 0.43/1.07 useparamod = 1
% 0.43/1.07 useeqrefl = 1
% 0.43/1.07 useeqfact = 1
% 0.43/1.07 usefactor = 1
% 0.43/1.07 usesimpsplitting = 0
% 0.43/1.07 usesimpdemod = 5
% 0.43/1.07 usesimpres = 3
% 0.43/1.07
% 0.43/1.07 resimpinuse = 1000
% 0.43/1.07 resimpclauses = 20000
% 0.43/1.07 substype = eqrewr
% 0.43/1.07 backwardsubs = 1
% 0.43/1.07 selectoldest = 5
% 0.43/1.07
% 0.43/1.07 litorderings [0] = split
% 0.43/1.07 litorderings [1] = extend the termordering, first sorting on arguments
% 0.43/1.07
% 0.43/1.07 termordering = kbo
% 0.43/1.07
% 0.43/1.07 litapriori = 0
% 0.43/1.07 termapriori = 1
% 0.43/1.07 litaposteriori = 0
% 0.43/1.07 termaposteriori = 0
% 0.43/1.07 demodaposteriori = 0
% 0.43/1.07 ordereqreflfact = 0
% 0.43/1.07
% 0.43/1.07 litselect = negord
% 0.43/1.07
% 0.43/1.07 maxweight = 15
% 0.43/1.07 maxdepth = 30000
% 0.43/1.07 maxlength = 115
% 0.43/1.07 maxnrvars = 195
% 0.43/1.07 excuselevel = 1
% 0.43/1.07 increasemaxweight = 1
% 0.43/1.07
% 0.43/1.07 maxselected = 10000000
% 0.43/1.07 maxnrclauses = 10000000
% 0.43/1.07
% 0.43/1.07 showgenerated = 0
% 0.43/1.07 showkept = 0
% 0.43/1.07 showselected = 0
% 0.43/1.07 showdeleted = 0
% 0.43/1.07 showresimp = 1
% 0.43/1.07 showstatus = 2000
% 0.43/1.07
% 0.43/1.07 prologoutput = 1
% 0.43/1.07 nrgoals = 5000000
% 0.43/1.07 totalproof = 1
% 0.43/1.07
% 0.43/1.07 Symbols occurring in the translation:
% 0.43/1.07
% 0.43/1.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.43/1.07 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.43/1.07 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.43/1.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.07 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.43/1.07 divide [42, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.43/1.07 multiply [44, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.43/1.07 inverse [45, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.43/1.07 a2 [46, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Starting Search:
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Bliksems!, er is een bewijs:
% 0.43/1.07 % SZS status Unsatisfiable
% 0.43/1.07 % SZS output start Refutation
% 0.43/1.07
% 0.43/1.07 clause( 0, [ =( divide( divide( identity, divide( X, divide( Y, divide(
% 0.43/1.07 divide( divide( X, X ), X ), Z ) ) ) ), Z ), Y ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 1, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 4, [ ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 5, [ =( inverse( identity ), identity ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 7, [ =( divide( inverse( divide( X, divide( Y, divide( inverse( X )
% 0.43/1.07 , Z ) ) ) ), Z ), Y ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 8, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 9, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 11, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 13, [ =( divide( inverse( inverse( multiply( X, Y ) ) ), Y ), X ) ]
% 0.43/1.07 )
% 0.43/1.07 .
% 0.43/1.07 clause( 16, [ =( multiply( inverse( divide( X, divide( Y, identity ) ) ), X
% 0.43/1.07 ), Y ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 20, [ =( divide( inverse( inverse( divide( X, identity ) ) ),
% 0.43/1.07 identity ), X ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 38, [ =( inverse( inverse( divide( X, identity ) ) ), X ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 43, [ =( inverse( inverse( X ) ), X ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 48, [] )
% 0.43/1.07 .
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 % SZS output end Refutation
% 0.43/1.07 found a proof!
% 0.43/1.07
% 0.43/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.07
% 0.43/1.07 initialclauses(
% 0.43/1.07 [ clause( 50, [ =( divide( divide( identity, divide( X, divide( Y, divide(
% 0.43/1.07 divide( divide( X, X ), X ), Z ) ) ) ), Z ), Y ) ] )
% 0.43/1.07 , clause( 51, [ =( multiply( X, Y ), divide( X, divide( identity, Y ) ) ) ]
% 0.43/1.07 )
% 0.43/1.07 , clause( 52, [ =( inverse( X ), divide( identity, X ) ) ] )
% 0.43/1.07 , clause( 53, [ =( identity, divide( X, X ) ) ] )
% 0.43/1.07 , clause( 54, [ ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.43/1.07 ] ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 0, [ =( divide( divide( identity, divide( X, divide( Y, divide(
% 0.43/1.07 divide( divide( X, X ), X ), Z ) ) ) ), Z ), Y ) ] )
% 0.43/1.07 , clause( 50, [ =( divide( divide( identity, divide( X, divide( Y, divide(
% 0.43/1.07 divide( divide( X, X ), X ), Z ) ) ) ), Z ), Y ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.43/1.07 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 57, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ]
% 0.43/1.07 )
% 0.43/1.07 , clause( 51, [ =( multiply( X, Y ), divide( X, divide( identity, Y ) ) ) ]
% 0.43/1.07 )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 1, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ] )
% 0.43/1.07 , clause( 57, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ]
% 0.43/1.07 )
% 0.43/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 60, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.43/1.07 , clause( 52, [ =( inverse( X ), divide( identity, X ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.43/1.07 , clause( 60, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 64, [ =( divide( X, X ), identity ) ] )
% 0.43/1.07 , clause( 53, [ =( identity, divide( X, X ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.43/1.07 , clause( 64, [ =( divide( X, X ), identity ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 4, [ ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.43/1.07 , clause( 54, [ ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 70, [ =( inverse( X ), divide( identity, X ) ) ] )
% 0.43/1.07 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 72, [ =( inverse( identity ), identity ) ] )
% 0.43/1.07 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.43/1.07 , 0, clause( 70, [ =( inverse( X ), divide( identity, X ) ) ] )
% 0.43/1.07 , 0, 3, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.43/1.07 identity )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 5, [ =( inverse( identity ), identity ) ] )
% 0.43/1.07 , clause( 72, [ =( inverse( identity ), identity ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 76, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.43/1.07 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.43/1.07 , 0, clause( 1, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) )
% 0.43/1.07 ] )
% 0.43/1.07 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.43/1.07 :=( Y, Y )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.43/1.07 , clause( 76, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 82, [ =( divide( inverse( divide( X, divide( Y, divide( divide(
% 0.43/1.07 divide( X, X ), X ), Z ) ) ) ), Z ), Y ) ] )
% 0.43/1.07 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.43/1.07 , 0, clause( 0, [ =( divide( divide( identity, divide( X, divide( Y, divide(
% 0.43/1.07 divide( divide( X, X ), X ), Z ) ) ) ), Z ), Y ) ] )
% 0.43/1.07 , 0, 2, substitution( 0, [ :=( X, divide( X, divide( Y, divide( divide(
% 0.43/1.07 divide( X, X ), X ), Z ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y,
% 0.43/1.07 Y ), :=( Z, Z )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 83, [ =( divide( inverse( divide( X, divide( Y, divide( divide(
% 0.43/1.07 identity, X ), Z ) ) ) ), Z ), Y ) ] )
% 0.43/1.07 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.43/1.07 , 0, clause( 82, [ =( divide( inverse( divide( X, divide( Y, divide( divide(
% 0.43/1.07 divide( X, X ), X ), Z ) ) ) ), Z ), Y ) ] )
% 0.43/1.07 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.43/1.07 :=( Y, Y ), :=( Z, Z )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 84, [ =( divide( inverse( divide( X, divide( Y, divide( inverse( X
% 0.43/1.07 ), Z ) ) ) ), Z ), Y ) ] )
% 0.43/1.07 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.43/1.07 , 0, clause( 83, [ =( divide( inverse( divide( X, divide( Y, divide( divide(
% 0.43/1.07 identity, X ), Z ) ) ) ), Z ), Y ) ] )
% 0.43/1.07 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.43/1.07 :=( Y, Y ), :=( Z, Z )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 7, [ =( divide( inverse( divide( X, divide( Y, divide( inverse( X )
% 0.43/1.07 , Z ) ) ) ), Z ), Y ) ] )
% 0.43/1.07 , clause( 84, [ =( divide( inverse( divide( X, divide( Y, divide( inverse(
% 0.43/1.07 X ), Z ) ) ) ), Z ), Y ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.43/1.07 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 87, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.43/1.07 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 88, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 0.43/1.07 , clause( 5, [ =( inverse( identity ), identity ) ] )
% 0.43/1.07 , 0, clause( 87, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.43/1.07 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 0.43/1.07 identity )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 8, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 0.43/1.07 , clause( 88, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 90, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.43/1.07 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 92, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.43/1.07 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.43/1.07 , 0, clause( 90, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.43/1.07 , 0, 4, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.43/1.07 :=( X, identity ), :=( Y, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 9, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.43/1.07 , clause( 92, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 95, [ ~( =( a2, multiply( identity, a2 ) ) ) ] )
% 0.43/1.07 , clause( 4, [ ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 96, [ ~( =( a2, inverse( inverse( a2 ) ) ) ) ] )
% 0.43/1.07 , clause( 9, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.43/1.07 , 0, clause( 95, [ ~( =( a2, multiply( identity, a2 ) ) ) ] )
% 0.43/1.07 , 0, 3, substitution( 0, [ :=( X, a2 )] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 97, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.43/1.07 , clause( 96, [ ~( =( a2, inverse( inverse( a2 ) ) ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 11, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.43/1.07 , clause( 97, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 99, [ =( Y, divide( inverse( divide( X, divide( Y, divide( inverse(
% 0.43/1.07 X ), Z ) ) ) ), Z ) ) ] )
% 0.43/1.07 , clause( 7, [ =( divide( inverse( divide( X, divide( Y, divide( inverse( X
% 0.43/1.07 ), Z ) ) ) ), Z ), Y ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 103, [ =( X, divide( inverse( divide( identity, divide( X, divide(
% 0.43/1.07 identity, Y ) ) ) ), Y ) ) ] )
% 0.43/1.07 , clause( 5, [ =( inverse( identity ), identity ) ] )
% 0.43/1.07 , 0, clause( 99, [ =( Y, divide( inverse( divide( X, divide( Y, divide(
% 0.43/1.07 inverse( X ), Z ) ) ) ), Z ) ) ] )
% 0.43/1.07 , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X, identity ), :=( Y
% 0.43/1.07 , X ), :=( Z, Y )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 105, [ =( X, divide( inverse( divide( identity, divide( X, inverse(
% 0.43/1.07 Y ) ) ) ), Y ) ) ] )
% 0.43/1.07 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.43/1.07 , 0, clause( 103, [ =( X, divide( inverse( divide( identity, divide( X,
% 0.43/1.07 divide( identity, Y ) ) ) ), Y ) ) ] )
% 0.43/1.07 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.43/1.07 :=( Y, Y )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 107, [ =( X, divide( inverse( inverse( divide( X, inverse( Y ) ) )
% 0.43/1.07 ), Y ) ) ] )
% 0.43/1.07 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.43/1.07 , 0, clause( 105, [ =( X, divide( inverse( divide( identity, divide( X,
% 0.43/1.07 inverse( Y ) ) ) ), Y ) ) ] )
% 0.43/1.07 , 0, 4, substitution( 0, [ :=( X, divide( X, inverse( Y ) ) )] ),
% 0.43/1.07 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 108, [ =( X, divide( inverse( inverse( multiply( X, Y ) ) ), Y ) )
% 0.43/1.07 ] )
% 0.43/1.07 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.43/1.07 , 0, clause( 107, [ =( X, divide( inverse( inverse( divide( X, inverse( Y )
% 0.43/1.07 ) ) ), Y ) ) ] )
% 0.43/1.07 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.43/1.07 :=( X, X ), :=( Y, Y )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 109, [ =( divide( inverse( inverse( multiply( X, Y ) ) ), Y ), X )
% 0.43/1.07 ] )
% 0.43/1.07 , clause( 108, [ =( X, divide( inverse( inverse( multiply( X, Y ) ) ), Y )
% 0.43/1.07 ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 13, [ =( divide( inverse( inverse( multiply( X, Y ) ) ), Y ), X ) ]
% 0.43/1.07 )
% 0.43/1.07 , clause( 109, [ =( divide( inverse( inverse( multiply( X, Y ) ) ), Y ), X
% 0.43/1.07 ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 111, [ =( Y, divide( inverse( divide( X, divide( Y, divide( inverse(
% 0.43/1.07 X ), Z ) ) ) ), Z ) ) ] )
% 0.43/1.07 , clause( 7, [ =( divide( inverse( divide( X, divide( Y, divide( inverse( X
% 0.43/1.07 ), Z ) ) ) ), Z ), Y ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 114, [ =( X, divide( inverse( divide( Y, divide( X, identity ) ) )
% 0.43/1.07 , inverse( Y ) ) ) ] )
% 0.43/1.07 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.43/1.07 , 0, clause( 111, [ =( Y, divide( inverse( divide( X, divide( Y, divide(
% 0.43/1.07 inverse( X ), Z ) ) ) ), Z ) ) ] )
% 0.43/1.07 , 0, 8, substitution( 0, [ :=( X, inverse( Y ) )] ), substitution( 1, [
% 0.43/1.07 :=( X, Y ), :=( Y, X ), :=( Z, inverse( Y ) )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 115, [ =( X, multiply( inverse( divide( Y, divide( X, identity ) )
% 0.43/1.07 ), Y ) ) ] )
% 0.43/1.07 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.43/1.07 , 0, clause( 114, [ =( X, divide( inverse( divide( Y, divide( X, identity )
% 0.43/1.07 ) ), inverse( Y ) ) ) ] )
% 0.43/1.07 , 0, 2, substitution( 0, [ :=( X, inverse( divide( Y, divide( X, identity )
% 0.43/1.07 ) ) ), :=( Y, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 116, [ =( multiply( inverse( divide( Y, divide( X, identity ) ) ),
% 0.43/1.07 Y ), X ) ] )
% 0.43/1.07 , clause( 115, [ =( X, multiply( inverse( divide( Y, divide( X, identity )
% 0.43/1.07 ) ), Y ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 16, [ =( multiply( inverse( divide( X, divide( Y, identity ) ) ), X
% 0.43/1.07 ), Y ) ] )
% 0.43/1.07 , clause( 116, [ =( multiply( inverse( divide( Y, divide( X, identity ) ) )
% 0.43/1.07 , Y ), X ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 118, [ =( X, divide( inverse( inverse( multiply( X, Y ) ) ), Y ) )
% 0.43/1.07 ] )
% 0.43/1.07 , clause( 13, [ =( divide( inverse( inverse( multiply( X, Y ) ) ), Y ), X )
% 0.43/1.07 ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 121, [ =( X, divide( inverse( inverse( divide( X, identity ) ) ),
% 0.43/1.07 identity ) ) ] )
% 0.43/1.07 , clause( 8, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 0.43/1.07 , 0, clause( 118, [ =( X, divide( inverse( inverse( multiply( X, Y ) ) ), Y
% 0.43/1.07 ) ) ] )
% 0.43/1.07 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.43/1.07 :=( Y, identity )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 122, [ =( divide( inverse( inverse( divide( X, identity ) ) ),
% 0.43/1.07 identity ), X ) ] )
% 0.43/1.07 , clause( 121, [ =( X, divide( inverse( inverse( divide( X, identity ) ) )
% 0.43/1.07 , identity ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 20, [ =( divide( inverse( inverse( divide( X, identity ) ) ),
% 0.43/1.07 identity ), X ) ] )
% 0.43/1.07 , clause( 122, [ =( divide( inverse( inverse( divide( X, identity ) ) ),
% 0.43/1.07 identity ), X ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 124, [ =( Y, multiply( inverse( divide( X, divide( Y, identity ) )
% 0.43/1.07 ), X ) ) ] )
% 0.43/1.07 , clause( 16, [ =( multiply( inverse( divide( X, divide( Y, identity ) ) )
% 0.43/1.07 , X ), Y ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 127, [ =( X, multiply( inverse( identity ), divide( X, identity ) )
% 0.43/1.07 ) ] )
% 0.43/1.07 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.43/1.07 , 0, clause( 124, [ =( Y, multiply( inverse( divide( X, divide( Y, identity
% 0.43/1.07 ) ) ), X ) ) ] )
% 0.43/1.07 , 0, 4, substitution( 0, [ :=( X, divide( X, identity ) )] ),
% 0.43/1.07 substitution( 1, [ :=( X, divide( X, identity ) ), :=( Y, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 129, [ =( X, multiply( identity, divide( X, identity ) ) ) ] )
% 0.43/1.07 , clause( 5, [ =( inverse( identity ), identity ) ] )
% 0.43/1.07 , 0, clause( 127, [ =( X, multiply( inverse( identity ), divide( X,
% 0.43/1.07 identity ) ) ) ] )
% 0.43/1.07 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 130, [ =( X, inverse( inverse( divide( X, identity ) ) ) ) ] )
% 0.43/1.07 , clause( 9, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.43/1.07 , 0, clause( 129, [ =( X, multiply( identity, divide( X, identity ) ) ) ]
% 0.43/1.07 )
% 0.43/1.07 , 0, 2, substitution( 0, [ :=( X, divide( X, identity ) )] ),
% 0.43/1.07 substitution( 1, [ :=( X, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 131, [ =( inverse( inverse( divide( X, identity ) ) ), X ) ] )
% 0.43/1.07 , clause( 130, [ =( X, inverse( inverse( divide( X, identity ) ) ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 38, [ =( inverse( inverse( divide( X, identity ) ) ), X ) ] )
% 0.43/1.07 , clause( 131, [ =( inverse( inverse( divide( X, identity ) ) ), X ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 133, [ =( X, inverse( inverse( divide( X, identity ) ) ) ) ] )
% 0.43/1.07 , clause( 38, [ =( inverse( inverse( divide( X, identity ) ) ), X ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 136, [ =( inverse( inverse( divide( X, identity ) ) ), inverse(
% 0.43/1.07 inverse( X ) ) ) ] )
% 0.43/1.07 , clause( 20, [ =( divide( inverse( inverse( divide( X, identity ) ) ),
% 0.43/1.07 identity ), X ) ] )
% 0.43/1.07 , 0, clause( 133, [ =( X, inverse( inverse( divide( X, identity ) ) ) ) ]
% 0.43/1.07 )
% 0.43/1.07 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.43/1.07 inverse( divide( X, identity ) ) ) )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 137, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.43/1.07 , clause( 38, [ =( inverse( inverse( divide( X, identity ) ) ), X ) ] )
% 0.43/1.07 , 0, clause( 136, [ =( inverse( inverse( divide( X, identity ) ) ), inverse(
% 0.43/1.07 inverse( X ) ) ) ] )
% 0.43/1.07 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.43/1.07 ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 138, [ =( inverse( inverse( X ) ), X ) ] )
% 0.43/1.07 , clause( 137, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 43, [ =( inverse( inverse( X ) ), X ) ] )
% 0.43/1.07 , clause( 138, [ =( inverse( inverse( X ) ), X ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 139, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.43/1.07 , clause( 43, [ =( inverse( inverse( X ) ), X ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 140, [ ~( =( a2, inverse( inverse( a2 ) ) ) ) ] )
% 0.43/1.07 , clause( 11, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 141, [] )
% 0.43/1.07 , clause( 140, [ ~( =( a2, inverse( inverse( a2 ) ) ) ) ] )
% 0.43/1.07 , 0, clause( 139, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a2 )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 48, [] )
% 0.43/1.07 , clause( 141, [] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 end.
% 0.43/1.07
% 0.43/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.07
% 0.43/1.07 Memory use:
% 0.43/1.07
% 0.43/1.07 space for terms: 602
% 0.43/1.07 space for clauses: 5492
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 clauses generated: 141
% 0.43/1.07 clauses kept: 49
% 0.43/1.07 clauses selected: 18
% 0.43/1.07 clauses deleted: 2
% 0.43/1.07 clauses inuse deleted: 0
% 0.43/1.07
% 0.43/1.07 subsentry: 232
% 0.43/1.07 literals s-matched: 91
% 0.43/1.07 literals matched: 91
% 0.43/1.07 full subsumption: 0
% 0.43/1.07
% 0.43/1.07 checksum: 1486496673
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Bliksem ended
%------------------------------------------------------------------------------