%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP546-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.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 07:37:33 EDT 2022
% Result : Unsatisfiable 0.76s 1.13s
% Output : Refutation 0.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP546-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Mon Jun 13 21:26:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.76/1.13 *** allocated 10000 integers for termspace/termends
% 0.76/1.13 *** allocated 10000 integers for clauses
% 0.76/1.13 *** allocated 10000 integers for justifications
% 0.76/1.13 Bliksem 1.12
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 Automatic Strategy Selection
% 0.76/1.13
% 0.76/1.13 Clauses:
% 0.76/1.13 [
% 0.76/1.13 [ =( divide( divide( identity, divide( X, Y ) ), divide( divide( Y, Z )
% 0.76/1.13 , X ) ), Z ) ],
% 0.76/1.13 [ =( multiply( X, Y ), divide( X, divide( identity, Y ) ) ) ],
% 0.76/1.13 [ =( inverse( X ), divide( identity, X ) ) ],
% 0.76/1.13 [ =( identity, divide( X, X ) ) ],
% 0.76/1.13 [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ) ]
% 0.76/1.13 ] .
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 percentage equality = 1.000000, percentage horn = 1.000000
% 0.76/1.13 This is a pure equality problem
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 Options Used:
% 0.76/1.13
% 0.76/1.13 useres = 1
% 0.76/1.13 useparamod = 1
% 0.76/1.13 useeqrefl = 1
% 0.76/1.13 useeqfact = 1
% 0.76/1.13 usefactor = 1
% 0.76/1.13 usesimpsplitting = 0
% 0.76/1.13 usesimpdemod = 5
% 0.76/1.13 usesimpres = 3
% 0.76/1.13
% 0.76/1.13 resimpinuse = 1000
% 0.76/1.13 resimpclauses = 20000
% 0.76/1.13 substype = eqrewr
% 0.76/1.13 backwardsubs = 1
% 0.76/1.13 selectoldest = 5
% 0.76/1.13
% 0.76/1.13 litorderings [0] = split
% 0.76/1.13 litorderings [1] = extend the termordering, first sorting on arguments
% 0.76/1.13
% 0.76/1.13 termordering = kbo
% 0.76/1.13
% 0.76/1.13 litapriori = 0
% 0.76/1.13 termapriori = 1
% 0.76/1.13 litaposteriori = 0
% 0.76/1.13 termaposteriori = 0
% 0.76/1.13 demodaposteriori = 0
% 0.76/1.13 ordereqreflfact = 0
% 0.76/1.13
% 0.76/1.13 litselect = negord
% 0.76/1.13
% 0.76/1.13 maxweight = 15
% 0.76/1.13 maxdepth = 30000
% 0.76/1.13 maxlength = 115
% 0.76/1.13 maxnrvars = 195
% 0.76/1.13 excuselevel = 1
% 0.76/1.13 increasemaxweight = 1
% 0.76/1.13
% 0.76/1.13 maxselected = 10000000
% 0.76/1.13 maxnrclauses = 10000000
% 0.76/1.13
% 0.76/1.13 showgenerated = 0
% 0.76/1.13 showkept = 0
% 0.76/1.13 showselected = 0
% 0.76/1.13 showdeleted = 0
% 0.76/1.13 showresimp = 1
% 0.76/1.13 showstatus = 2000
% 0.76/1.13
% 0.76/1.13 prologoutput = 1
% 0.76/1.13 nrgoals = 5000000
% 0.76/1.13 totalproof = 1
% 0.76/1.13
% 0.76/1.13 Symbols occurring in the translation:
% 0.76/1.13
% 0.76/1.13 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.76/1.13 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.76/1.13 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.76/1.13 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.76/1.13 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.76/1.13 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.76/1.13 divide [42, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.76/1.13 multiply [44, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.76/1.13 inverse [45, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.76/1.13 b2 [46, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.76/1.13 a2 [47, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 Starting Search:
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 Bliksems!, er is een bewijs:
% 0.76/1.13 % SZS status Unsatisfiable
% 0.76/1.13 % SZS output start Refutation
% 0.76/1.13
% 0.76/1.13 clause( 0, [ =( divide( divide( identity, divide( X, Y ) ), divide( divide(
% 0.76/1.13 Y, Z ), X ) ), Z ) ] )
% 0.76/1.13 .
% 0.76/1.13 clause( 1, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ] )
% 0.76/1.13 .
% 0.76/1.13 clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.76/1.13 .
% 0.76/1.13 clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.76/1.13 .
% 0.76/1.13 clause( 4, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ) ]
% 0.76/1.13 )
% 0.76/1.13 .
% 0.76/1.13 clause( 5, [ =( inverse( identity ), identity ) ] )
% 0.76/1.13 .
% 0.76/1.13 clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.76/1.13 .
% 0.76/1.13 clause( 7, [ =( divide( inverse( divide( X, Y ) ), divide( divide( Y, Z ),
% 0.76/1.13 X ) ), Z ) ] )
% 0.76/1.13 .
% 0.76/1.13 clause( 9, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.76/1.13 .
% 0.76/1.13 clause( 10, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.76/1.13 .
% 0.76/1.13 clause( 11, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.76/1.13 .
% 0.76/1.13 clause( 17, [ =( inverse( divide( divide( X, Y ), X ) ), Y ) ] )
% 0.76/1.13 .
% 0.76/1.13 clause( 18, [ =( divide( Y, identity ), Y ) ] )
% 0.76/1.13 .
% 0.76/1.13 clause( 23, [ =( inverse( inverse( X ) ), X ) ] )
% 0.76/1.13 .
% 0.76/1.13 clause( 30, [] )
% 0.76/1.13 .
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 % SZS output end Refutation
% 0.76/1.13 found a proof!
% 0.76/1.13
% 0.76/1.13 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.76/1.13
% 0.76/1.13 initialclauses(
% 0.76/1.13 [ clause( 32, [ =( divide( divide( identity, divide( X, Y ) ), divide(
% 0.76/1.13 divide( Y, Z ), X ) ), Z ) ] )
% 0.76/1.13 , clause( 33, [ =( multiply( X, Y ), divide( X, divide( identity, Y ) ) ) ]
% 0.76/1.13 )
% 0.76/1.13 , clause( 34, [ =( inverse( X ), divide( identity, X ) ) ] )
% 0.76/1.13 , clause( 35, [ =( identity, divide( X, X ) ) ] )
% 0.76/1.13 , clause( 36, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) )
% 0.76/1.13 ] )
% 0.76/1.13 ] ).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 subsumption(
% 0.76/1.13 clause( 0, [ =( divide( divide( identity, divide( X, Y ) ), divide( divide(
% 0.76/1.13 Y, Z ), X ) ), Z ) ] )
% 0.76/1.13 , clause( 32, [ =( divide( divide( identity, divide( X, Y ) ), divide(
% 0.76/1.13 divide( Y, Z ), X ) ), Z ) ] )
% 0.76/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.13 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 eqswap(
% 0.76/1.13 clause( 39, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ]
% 0.76/1.13 )
% 0.76/1.13 , clause( 33, [ =( multiply( X, Y ), divide( X, divide( identity, Y ) ) ) ]
% 0.76/1.13 )
% 0.76/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 subsumption(
% 0.76/1.13 clause( 1, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ] )
% 0.76/1.13 , clause( 39, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ]
% 0.76/1.13 )
% 0.76/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.13 )] ) ).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 eqswap(
% 0.76/1.13 clause( 42, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.76/1.13 , clause( 34, [ =( inverse( X ), divide( identity, X ) ) ] )
% 0.76/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 subsumption(
% 0.76/1.13 clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.76/1.13 , clause( 42, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.76/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 eqswap(
% 0.76/1.13 clause( 46, [ =( divide( X, X ), identity ) ] )
% 0.76/1.13 , clause( 35, [ =( identity, divide( X, X ) ) ] )
% 0.76/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 subsumption(
% 0.76/1.13 clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.76/1.13 , clause( 46, [ =( divide( X, X ), identity ) ] )
% 0.76/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 subsumption(
% 0.76/1.13 clause( 4, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ) ]
% 0.76/1.13 )
% 0.76/1.13 , clause( 36, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) )
% 0.76/1.13 ] )
% 0.76/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 eqswap(
% 0.76/1.13 clause( 52, [ =( inverse( X ), divide( identity, X ) ) ] )
% 0.76/1.13 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.76/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 paramod(
% 0.76/1.13 clause( 54, [ =( inverse( identity ), identity ) ] )
% 0.76/1.13 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.76/1.13 , 0, clause( 52, [ =( inverse( X ), divide( identity, X ) ) ] )
% 0.76/1.13 , 0, 3, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.76/1.13 identity )] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 subsumption(
% 0.76/1.13 clause( 5, [ =( inverse( identity ), identity ) ] )
% 0.76/1.13 , clause( 54, [ =( inverse( identity ), identity ) ] )
% 0.76/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 paramod(
% 0.76/1.13 clause( 58, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.76/1.13 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.76/1.13 , 0, clause( 1, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) )
% 0.76/1.13 ] )
% 0.76/1.13 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.76/1.13 :=( Y, Y )] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 subsumption(
% 0.76/1.13 clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.76/1.13 , clause( 58, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.76/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.13 )] ) ).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 paramod(
% 0.76/1.13 clause( 62, [ =( divide( inverse( divide( X, Y ) ), divide( divide( Y, Z )
% 0.76/1.13 , X ) ), Z ) ] )
% 0.76/1.13 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.76/1.13 , 0, clause( 0, [ =( divide( divide( identity, divide( X, Y ) ), divide(
% 0.76/1.13 divide( Y, Z ), X ) ), Z ) ] )
% 0.76/1.13 , 0, 2, substitution( 0, [ :=( X, divide( X, Y ) )] ), substitution( 1, [
% 0.76/1.13 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 subsumption(
% 0.76/1.13 clause( 7, [ =( divide( inverse( divide( X, Y ) ), divide( divide( Y, Z ),
% 0.76/1.13 X ) ), Z ) ] )
% 0.76/1.13 , clause( 62, [ =( divide( inverse( divide( X, Y ) ), divide( divide( Y, Z
% 0.76/1.13 ), X ) ), Z ) ] )
% 0.76/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.13 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 eqswap(
% 0.76/1.13 clause( 64, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.76/1.13 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.76/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 paramod(
% 0.76/1.13 clause( 66, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.76/1.13 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.76/1.13 , 0, clause( 64, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.76/1.13 , 0, 4, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.76/1.13 :=( X, identity ), :=( Y, X )] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 subsumption(
% 0.76/1.13 clause( 9, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.76/1.13 , clause( 66, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.76/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 eqswap(
% 0.76/1.13 clause( 68, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.76/1.13 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.76/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 paramod(
% 0.76/1.13 clause( 70, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.76/1.13 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.76/1.13 , 0, clause( 68, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.76/1.13 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.76/1.13 :=( X, inverse( X ) ), :=( Y, X )] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 subsumption(
% 0.76/1.13 clause( 10, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.76/1.13 , clause( 70, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.76/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 eqswap(
% 0.76/1.13 clause( 73, [ ~( =( a2, multiply( multiply( inverse( b2 ), b2 ), a2 ) ) ) ]
% 0.76/1.13 )
% 0.76/1.13 , clause( 4, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) )
% 0.76/1.13 ] )
% 0.76/1.13 , 0, substitution( 0, [] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 paramod(
% 0.76/1.13 clause( 75, [ ~( =( a2, multiply( identity, a2 ) ) ) ] )
% 0.76/1.13 , clause( 10, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.76/1.13 , 0, clause( 73, [ ~( =( a2, multiply( multiply( inverse( b2 ), b2 ), a2 )
% 0.76/1.13 ) ) ] )
% 0.76/1.13 , 0, 4, substitution( 0, [ :=( X, b2 )] ), substitution( 1, [] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 paramod(
% 0.76/1.13 clause( 76, [ ~( =( a2, inverse( inverse( a2 ) ) ) ) ] )
% 0.76/1.13 , clause( 9, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.76/1.13 , 0, clause( 75, [ ~( =( a2, multiply( identity, a2 ) ) ) ] )
% 0.76/1.13 , 0, 3, substitution( 0, [ :=( X, a2 )] ), substitution( 1, [] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 eqswap(
% 0.76/1.13 clause( 77, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.76/1.13 , clause( 76, [ ~( =( a2, inverse( inverse( a2 ) ) ) ) ] )
% 0.76/1.13 , 0, substitution( 0, [] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 subsumption(
% 0.76/1.13 clause( 11, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.76/1.13 , clause( 77, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.76/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 eqswap(
% 0.76/1.13 clause( 79, [ =( Z, divide( inverse( divide( X, Y ) ), divide( divide( Y, Z
% 0.76/1.13 ), X ) ) ) ] )
% 0.76/1.13 , clause( 7, [ =( divide( inverse( divide( X, Y ) ), divide( divide( Y, Z )
% 0.76/1.13 , X ) ), Z ) ] )
% 0.76/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 paramod(
% 0.76/1.13 clause( 82, [ =( X, divide( inverse( identity ), divide( divide( Y, X ), Y
% 0.76/1.13 ) ) ) ] )
% 0.76/1.13 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.76/1.13 , 0, clause( 79, [ =( Z, divide( inverse( divide( X, Y ) ), divide( divide(
% 0.76/1.13 Y, Z ), X ) ) ) ] )
% 0.76/1.13 , 0, 4, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, Y ),
% 0.76/1.13 :=( Y, Y ), :=( Z, X )] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 paramod(
% 0.76/1.13 clause( 85, [ =( X, divide( identity, divide( divide( Y, X ), Y ) ) ) ] )
% 0.76/1.13 , clause( 5, [ =( inverse( identity ), identity ) ] )
% 0.76/1.13 , 0, clause( 82, [ =( X, divide( inverse( identity ), divide( divide( Y, X
% 0.76/1.13 ), Y ) ) ) ] )
% 0.76/1.13 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.76/1.13 ).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 paramod(
% 0.76/1.13 clause( 86, [ =( X, inverse( divide( divide( Y, X ), Y ) ) ) ] )
% 0.76/1.13 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.76/1.13 , 0, clause( 85, [ =( X, divide( identity, divide( divide( Y, X ), Y ) ) )
% 0.76/1.13 ] )
% 0.76/1.13 , 0, 2, substitution( 0, [ :=( X, divide( divide( Y, X ), Y ) )] ),
% 0.76/1.13 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 eqswap(
% 0.76/1.13 clause( 87, [ =( inverse( divide( divide( Y, X ), Y ) ), X ) ] )
% 0.76/1.13 , clause( 86, [ =( X, inverse( divide( divide( Y, X ), Y ) ) ) ] )
% 0.76/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 subsumption(
% 0.76/1.13 clause( 17, [ =( inverse( divide( divide( X, Y ), X ) ), Y ) ] )
% 0.76/1.13 , clause( 87, [ =( inverse( divide( divide( Y, X ), Y ) ), X ) ] )
% 0.76/1.13 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.13 )] ) ).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 eqswap(
% 0.76/1.13 clause( 89, [ =( Z, divide( inverse( divide( X, Y ) ), divide( divide( Y, Z
% 0.76/1.13 ), X ) ) ) ] )
% 0.76/1.13 , clause( 7, [ =( divide( inverse( divide( X, Y ) ), divide( divide( Y, Z )
% 0.76/1.13 , X ) ), Z ) ] )
% 0.76/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 paramod(
% 0.76/1.13 clause( 92, [ =( X, divide( inverse( divide( divide( Y, X ), Y ) ),
% 0.76/1.13 identity ) ) ] )
% 0.76/1.13 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.76/1.13 , 0, clause( 89, [ =( Z, divide( inverse( divide( X, Y ) ), divide( divide(
% 0.76/1.13 Y, Z ), X ) ) ) ] )
% 0.76/1.13 , 0, 9, substitution( 0, [ :=( X, divide( Y, X ) )] ), substitution( 1, [
% 0.76/1.13 :=( X, divide( Y, X ) ), :=( Y, Y ), :=( Z, X )] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 paramod(
% 0.76/1.13 clause( 94, [ =( X, divide( X, identity ) ) ] )
% 0.76/1.13 , clause( 17, [ =( inverse( divide( divide( X, Y ), X ) ), Y ) ] )
% 0.76/1.13 , 0, clause( 92, [ =( X, divide( inverse( divide( divide( Y, X ), Y ) ),
% 0.76/1.13 identity ) ) ] )
% 0.76/1.13 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.76/1.13 :=( X, X ), :=( Y, Y )] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 eqswap(
% 0.76/1.13 clause( 95, [ =( divide( X, identity ), X ) ] )
% 0.76/1.13 , clause( 94, [ =( X, divide( X, identity ) ) ] )
% 0.76/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 subsumption(
% 0.76/1.13 clause( 18, [ =( divide( Y, identity ), Y ) ] )
% 0.76/1.13 , clause( 95, [ =( divide( X, identity ), X ) ] )
% 0.76/1.13 , substitution( 0, [ :=( X, Y )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 eqswap(
% 0.76/1.13 clause( 97, [ =( Y, inverse( divide( divide( X, Y ), X ) ) ) ] )
% 0.76/1.13 , clause( 17, [ =( inverse( divide( divide( X, Y ), X ) ), Y ) ] )
% 0.76/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 paramod(
% 0.76/1.13 clause( 99, [ =( X, inverse( divide( identity, X ) ) ) ] )
% 0.76/1.13 , clause( 18, [ =( divide( Y, identity ), Y ) ] )
% 0.76/1.13 , 0, clause( 97, [ =( Y, inverse( divide( divide( X, Y ), X ) ) ) ] )
% 0.76/1.13 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, divide( identity, X ) )] ),
% 0.76/1.13 substitution( 1, [ :=( X, identity ), :=( Y, X )] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 paramod(
% 0.76/1.13 clause( 101, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.76/1.13 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.76/1.13 , 0, clause( 99, [ =( X, inverse( divide( identity, X ) ) ) ] )
% 0.76/1.13 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.76/1.13 ).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 eqswap(
% 0.76/1.13 clause( 102, [ =( inverse( inverse( X ) ), X ) ] )
% 0.76/1.13 , clause( 101, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.76/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 subsumption(
% 0.76/1.13 clause( 23, [ =( inverse( inverse( X ) ), X ) ] )
% 0.76/1.13 , clause( 102, [ =( inverse( inverse( X ) ), X ) ] )
% 0.76/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 eqswap(
% 0.76/1.13 clause( 103, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.76/1.13 , clause( 23, [ =( inverse( inverse( X ) ), X ) ] )
% 0.76/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 eqswap(
% 0.76/1.13 clause( 104, [ ~( =( a2, inverse( inverse( a2 ) ) ) ) ] )
% 0.76/1.13 , clause( 11, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.76/1.13 , 0, substitution( 0, [] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 resolution(
% 0.76/1.13 clause( 105, [] )
% 0.76/1.13 , clause( 104, [ ~( =( a2, inverse( inverse( a2 ) ) ) ) ] )
% 0.76/1.13 , 0, clause( 103, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.76/1.13 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a2 )] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 subsumption(
% 0.76/1.13 clause( 30, [] )
% 0.76/1.13 , clause( 105, [] )
% 0.76/1.13 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 end.
% 0.76/1.13
% 0.76/1.13 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.76/1.13
% 0.76/1.13 Memory use:
% 0.76/1.13
% 0.76/1.13 space for terms: 379
% 0.76/1.13 space for clauses: 3249
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 clauses generated: 70
% 0.76/1.13 clauses kept: 31
% 0.76/1.13 clauses selected: 13
% 0.76/1.13 clauses deleted: 2
% 0.76/1.13 clauses inuse deleted: 0
% 0.76/1.13
% 0.76/1.13 subsentry: 199
% 0.76/1.13 literals s-matched: 79
% 0.76/1.13 literals matched: 79
% 0.76/1.13 full subsumption: 0
% 0.76/1.13
% 0.76/1.13 checksum: 1259163934
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 Bliksem ended
%------------------------------------------------------------------------------