%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP534-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n012.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 07:37:30 EDT 2022
% Result : Unsatisfiable 0.73s 1.10s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP534-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.14 % Command : bliksem %s
% 0.13/0.35 % Computer : n012.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Tue Jun 14 01:44:25 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.73/1.10 *** allocated 10000 integers for termspace/termends
% 0.73/1.10 *** allocated 10000 integers for clauses
% 0.73/1.10 *** allocated 10000 integers for justifications
% 0.73/1.10 Bliksem 1.12
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 Automatic Strategy Selection
% 0.73/1.10
% 0.73/1.10 Clauses:
% 0.73/1.10 [
% 0.73/1.10 [ =( divide( divide( X, divide( divide( X, Y ), Z ) ), Y ), Z ) ],
% 0.73/1.10 [ =( multiply( X, Y ), divide( X, divide( divide( Z, Z ), Y ) ) ) ],
% 0.73/1.10 [ =( inverse( X ), divide( divide( Y, Y ), X ) ) ],
% 0.73/1.10 [ =( identity, divide( X, X ) ) ],
% 0.73/1.10 [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ) ]
% 0.73/1.10 ] .
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 percentage equality = 1.000000, percentage horn = 1.000000
% 0.73/1.10 This is a pure equality problem
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 Options Used:
% 0.73/1.10
% 0.73/1.10 useres = 1
% 0.73/1.10 useparamod = 1
% 0.73/1.10 useeqrefl = 1
% 0.73/1.10 useeqfact = 1
% 0.73/1.10 usefactor = 1
% 0.73/1.10 usesimpsplitting = 0
% 0.73/1.10 usesimpdemod = 5
% 0.73/1.10 usesimpres = 3
% 0.73/1.10
% 0.73/1.10 resimpinuse = 1000
% 0.73/1.10 resimpclauses = 20000
% 0.73/1.10 substype = eqrewr
% 0.73/1.10 backwardsubs = 1
% 0.73/1.10 selectoldest = 5
% 0.73/1.10
% 0.73/1.10 litorderings [0] = split
% 0.73/1.10 litorderings [1] = extend the termordering, first sorting on arguments
% 0.73/1.10
% 0.73/1.10 termordering = kbo
% 0.73/1.10
% 0.73/1.10 litapriori = 0
% 0.73/1.10 termapriori = 1
% 0.73/1.10 litaposteriori = 0
% 0.73/1.10 termaposteriori = 0
% 0.73/1.10 demodaposteriori = 0
% 0.73/1.10 ordereqreflfact = 0
% 0.73/1.10
% 0.73/1.10 litselect = negord
% 0.73/1.10
% 0.73/1.10 maxweight = 15
% 0.73/1.10 maxdepth = 30000
% 0.73/1.10 maxlength = 115
% 0.73/1.10 maxnrvars = 195
% 0.73/1.10 excuselevel = 1
% 0.73/1.10 increasemaxweight = 1
% 0.73/1.10
% 0.73/1.10 maxselected = 10000000
% 0.73/1.10 maxnrclauses = 10000000
% 0.73/1.10
% 0.73/1.10 showgenerated = 0
% 0.73/1.10 showkept = 0
% 0.73/1.10 showselected = 0
% 0.73/1.10 showdeleted = 0
% 0.73/1.10 showresimp = 1
% 0.73/1.10 showstatus = 2000
% 0.73/1.10
% 0.73/1.10 prologoutput = 1
% 0.73/1.10 nrgoals = 5000000
% 0.73/1.10 totalproof = 1
% 0.73/1.10
% 0.73/1.10 Symbols occurring in the translation:
% 0.73/1.10
% 0.73/1.10 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.10 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.73/1.10 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.73/1.10 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.10 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.10 divide [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.73/1.10 multiply [43, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.73/1.10 inverse [44, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.73/1.10 identity [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.73/1.10 b2 [46, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.73/1.10 a2 [47, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 Starting Search:
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 Bliksems!, er is een bewijs:
% 0.73/1.10 % SZS status Unsatisfiable
% 0.73/1.10 % SZS output start Refutation
% 0.73/1.10
% 0.73/1.10 clause( 0, [ =( divide( divide( X, divide( divide( X, Y ), Z ) ), Y ), Z )
% 0.73/1.10 ] )
% 0.73/1.10 .
% 0.73/1.10 clause( 1, [ =( divide( X, divide( divide( Z, Z ), Y ) ), multiply( X, Y )
% 0.73/1.10 ) ] )
% 0.73/1.10 .
% 0.73/1.10 clause( 2, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.73/1.10 .
% 0.73/1.10 clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.73/1.10 .
% 0.73/1.10 clause( 4, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ) ]
% 0.73/1.10 )
% 0.73/1.10 .
% 0.73/1.10 clause( 5, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.73/1.10 .
% 0.73/1.10 clause( 10, [ =( divide( divide( X, identity ), Y ), divide( X, Y ) ) ] )
% 0.73/1.10 .
% 0.73/1.10 clause( 11, [ =( divide( divide( X, inverse( Y ) ), X ), Y ) ] )
% 0.73/1.10 .
% 0.73/1.10 clause( 16, [ =( divide( inverse( inverse( X ) ), identity ), X ) ] )
% 0.73/1.10 .
% 0.73/1.10 clause( 17, [ =( inverse( inverse( X ) ), X ) ] )
% 0.73/1.10 .
% 0.73/1.10 clause( 19, [ =( divide( X, identity ), X ) ] )
% 0.73/1.10 .
% 0.73/1.10 clause( 20, [ =( divide( X, divide( X, Y ) ), Y ) ] )
% 0.73/1.10 .
% 0.73/1.10 clause( 21, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.73/1.10 .
% 0.73/1.10 clause( 26, [ =( multiply( identity, X ), X ) ] )
% 0.73/1.10 .
% 0.73/1.10 clause( 50, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.73/1.10 .
% 0.73/1.10 clause( 51, [] )
% 0.73/1.10 .
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 % SZS output end Refutation
% 0.73/1.10 found a proof!
% 0.73/1.10
% 0.73/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.10
% 0.73/1.10 initialclauses(
% 0.73/1.10 [ clause( 53, [ =( divide( divide( X, divide( divide( X, Y ), Z ) ), Y ), Z
% 0.73/1.10 ) ] )
% 0.73/1.10 , clause( 54, [ =( multiply( X, Y ), divide( X, divide( divide( Z, Z ), Y )
% 0.73/1.10 ) ) ] )
% 0.73/1.10 , clause( 55, [ =( inverse( X ), divide( divide( Y, Y ), X ) ) ] )
% 0.73/1.10 , clause( 56, [ =( identity, divide( X, X ) ) ] )
% 0.73/1.10 , clause( 57, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) )
% 0.73/1.10 ] )
% 0.73/1.10 ] ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 subsumption(
% 0.73/1.10 clause( 0, [ =( divide( divide( X, divide( divide( X, Y ), Z ) ), Y ), Z )
% 0.73/1.10 ] )
% 0.73/1.10 , clause( 53, [ =( divide( divide( X, divide( divide( X, Y ), Z ) ), Y ), Z
% 0.73/1.10 ) ] )
% 0.73/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.10 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 eqswap(
% 0.73/1.10 clause( 60, [ =( divide( X, divide( divide( Z, Z ), Y ) ), multiply( X, Y )
% 0.73/1.10 ) ] )
% 0.73/1.10 , clause( 54, [ =( multiply( X, Y ), divide( X, divide( divide( Z, Z ), Y )
% 0.73/1.10 ) ) ] )
% 0.73/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 subsumption(
% 0.73/1.10 clause( 1, [ =( divide( X, divide( divide( Z, Z ), Y ) ), multiply( X, Y )
% 0.73/1.10 ) ] )
% 0.73/1.10 , clause( 60, [ =( divide( X, divide( divide( Z, Z ), Y ) ), multiply( X, Y
% 0.73/1.10 ) ) ] )
% 0.73/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.10 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 eqswap(
% 0.73/1.10 clause( 63, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.73/1.10 , clause( 55, [ =( inverse( X ), divide( divide( Y, Y ), X ) ) ] )
% 0.73/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 subsumption(
% 0.73/1.10 clause( 2, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.73/1.10 , clause( 63, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.73/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.10 )] ) ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 eqswap(
% 0.73/1.10 clause( 67, [ =( divide( X, X ), identity ) ] )
% 0.73/1.10 , clause( 56, [ =( identity, divide( X, X ) ) ] )
% 0.73/1.10 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 subsumption(
% 0.73/1.10 clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.73/1.10 , clause( 67, [ =( divide( X, X ), identity ) ] )
% 0.73/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 subsumption(
% 0.73/1.10 clause( 4, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ) ]
% 0.73/1.10 )
% 0.73/1.10 , clause( 57, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) )
% 0.73/1.10 ] )
% 0.73/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 paramod(
% 0.73/1.10 clause( 75, [ =( divide( identity, Y ), inverse( Y ) ) ] )
% 0.73/1.10 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.73/1.10 , 0, clause( 2, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.73/1.10 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 0.73/1.10 :=( Y, X )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 subsumption(
% 0.73/1.10 clause( 5, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.73/1.10 , clause( 75, [ =( divide( identity, Y ), inverse( Y ) ) ] )
% 0.73/1.10 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.10 )] ) ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 eqswap(
% 0.73/1.10 clause( 78, [ =( Z, divide( divide( X, divide( divide( X, Y ), Z ) ), Y ) )
% 0.73/1.10 ] )
% 0.73/1.10 , clause( 0, [ =( divide( divide( X, divide( divide( X, Y ), Z ) ), Y ), Z
% 0.73/1.10 ) ] )
% 0.73/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 paramod(
% 0.73/1.10 clause( 79, [ =( divide( X, Y ), divide( divide( X, identity ), Y ) ) ] )
% 0.73/1.10 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.73/1.10 , 0, clause( 78, [ =( Z, divide( divide( X, divide( divide( X, Y ), Z ) ),
% 0.73/1.10 Y ) ) ] )
% 0.73/1.10 , 0, 7, substitution( 0, [ :=( X, divide( X, Y ) )] ), substitution( 1, [
% 0.73/1.10 :=( X, X ), :=( Y, Y ), :=( Z, divide( X, Y ) )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 eqswap(
% 0.73/1.10 clause( 81, [ =( divide( divide( X, identity ), Y ), divide( X, Y ) ) ] )
% 0.73/1.10 , clause( 79, [ =( divide( X, Y ), divide( divide( X, identity ), Y ) ) ]
% 0.73/1.10 )
% 0.73/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 subsumption(
% 0.73/1.10 clause( 10, [ =( divide( divide( X, identity ), Y ), divide( X, Y ) ) ] )
% 0.73/1.10 , clause( 81, [ =( divide( divide( X, identity ), Y ), divide( X, Y ) ) ]
% 0.73/1.10 )
% 0.73/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.10 )] ) ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 eqswap(
% 0.73/1.10 clause( 84, [ =( Z, divide( divide( X, divide( divide( X, Y ), Z ) ), Y ) )
% 0.73/1.10 ] )
% 0.73/1.10 , clause( 0, [ =( divide( divide( X, divide( divide( X, Y ), Z ) ), Y ), Z
% 0.73/1.10 ) ] )
% 0.73/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 paramod(
% 0.73/1.10 clause( 87, [ =( X, divide( divide( Y, divide( identity, X ) ), Y ) ) ] )
% 0.73/1.10 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.73/1.10 , 0, clause( 84, [ =( Z, divide( divide( X, divide( divide( X, Y ), Z ) ),
% 0.73/1.10 Y ) ) ] )
% 0.73/1.10 , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, Y ),
% 0.73/1.10 :=( Y, Y ), :=( Z, X )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 paramod(
% 0.73/1.10 clause( 88, [ =( X, divide( divide( Y, inverse( X ) ), Y ) ) ] )
% 0.73/1.10 , clause( 5, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.73/1.10 , 0, clause( 87, [ =( X, divide( divide( Y, divide( identity, X ) ), Y ) )
% 0.73/1.10 ] )
% 0.73/1.10 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.10 :=( Y, Y )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 eqswap(
% 0.73/1.10 clause( 89, [ =( divide( divide( Y, inverse( X ) ), Y ), X ) ] )
% 0.73/1.10 , clause( 88, [ =( X, divide( divide( Y, inverse( X ) ), Y ) ) ] )
% 0.73/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 subsumption(
% 0.73/1.10 clause( 11, [ =( divide( divide( X, inverse( Y ) ), X ), Y ) ] )
% 0.73/1.10 , clause( 89, [ =( divide( divide( Y, inverse( X ) ), Y ), X ) ] )
% 0.73/1.10 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.10 )] ) ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 eqswap(
% 0.73/1.10 clause( 91, [ =( Y, divide( divide( X, inverse( Y ) ), X ) ) ] )
% 0.73/1.10 , clause( 11, [ =( divide( divide( X, inverse( Y ) ), X ), Y ) ] )
% 0.73/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 paramod(
% 0.73/1.10 clause( 92, [ =( X, divide( inverse( inverse( X ) ), identity ) ) ] )
% 0.73/1.10 , clause( 5, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.73/1.10 , 0, clause( 91, [ =( Y, divide( divide( X, inverse( Y ) ), X ) ) ] )
% 0.73/1.10 , 0, 3, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.73/1.10 :=( X, identity ), :=( Y, X )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 eqswap(
% 0.73/1.10 clause( 93, [ =( divide( inverse( inverse( X ) ), identity ), X ) ] )
% 0.73/1.10 , clause( 92, [ =( X, divide( inverse( inverse( X ) ), identity ) ) ] )
% 0.73/1.10 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 subsumption(
% 0.73/1.10 clause( 16, [ =( divide( inverse( inverse( X ) ), identity ), X ) ] )
% 0.73/1.10 , clause( 93, [ =( divide( inverse( inverse( X ) ), identity ), X ) ] )
% 0.73/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 eqswap(
% 0.73/1.10 clause( 95, [ =( Y, divide( divide( X, inverse( Y ) ), X ) ) ] )
% 0.73/1.10 , clause( 11, [ =( divide( divide( X, inverse( Y ) ), X ), Y ) ] )
% 0.73/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 paramod(
% 0.73/1.10 clause( 97, [ =( X, divide( identity, inverse( X ) ) ) ] )
% 0.73/1.10 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.73/1.10 , 0, clause( 95, [ =( Y, divide( divide( X, inverse( Y ) ), X ) ) ] )
% 0.73/1.10 , 0, 3, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.73/1.10 :=( X, inverse( X ) ), :=( Y, X )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 paramod(
% 0.73/1.10 clause( 98, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.73/1.10 , clause( 5, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.73/1.10 , 0, clause( 97, [ =( X, divide( identity, inverse( X ) ) ) ] )
% 0.73/1.10 , 0, 2, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.73/1.10 :=( X, X )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 eqswap(
% 0.73/1.10 clause( 99, [ =( inverse( inverse( X ) ), X ) ] )
% 0.73/1.10 , clause( 98, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.73/1.10 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 subsumption(
% 0.73/1.10 clause( 17, [ =( inverse( inverse( X ) ), X ) ] )
% 0.73/1.10 , clause( 99, [ =( inverse( inverse( X ) ), X ) ] )
% 0.73/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 paramod(
% 0.73/1.10 clause( 102, [ =( divide( X, identity ), X ) ] )
% 0.73/1.10 , clause( 17, [ =( inverse( inverse( X ) ), X ) ] )
% 0.73/1.10 , 0, clause( 16, [ =( divide( inverse( inverse( X ) ), identity ), X ) ] )
% 0.73/1.10 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.10 ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 subsumption(
% 0.73/1.10 clause( 19, [ =( divide( X, identity ), X ) ] )
% 0.73/1.10 , clause( 102, [ =( divide( X, identity ), X ) ] )
% 0.73/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 eqswap(
% 0.73/1.10 clause( 104, [ =( X, divide( X, identity ) ) ] )
% 0.73/1.10 , clause( 19, [ =( divide( X, identity ), X ) ] )
% 0.73/1.10 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 paramod(
% 0.73/1.10 clause( 107, [ =( divide( X, divide( divide( X, identity ), Y ) ), Y ) ] )
% 0.73/1.10 , clause( 0, [ =( divide( divide( X, divide( divide( X, Y ), Z ) ), Y ), Z
% 0.73/1.10 ) ] )
% 0.73/1.10 , 0, clause( 104, [ =( X, divide( X, identity ) ) ] )
% 0.73/1.10 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, identity ), :=( Z, Y )] ),
% 0.73/1.10 substitution( 1, [ :=( X, divide( X, divide( divide( X, identity ), Y ) )
% 0.73/1.10 )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 paramod(
% 0.73/1.10 clause( 108, [ =( divide( X, divide( X, Y ) ), Y ) ] )
% 0.73/1.10 , clause( 10, [ =( divide( divide( X, identity ), Y ), divide( X, Y ) ) ]
% 0.73/1.10 )
% 0.73/1.10 , 0, clause( 107, [ =( divide( X, divide( divide( X, identity ), Y ) ), Y )
% 0.73/1.10 ] )
% 0.73/1.10 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.73/1.10 :=( X, X ), :=( Y, Y )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 subsumption(
% 0.73/1.10 clause( 20, [ =( divide( X, divide( X, Y ) ), Y ) ] )
% 0.73/1.10 , clause( 108, [ =( divide( X, divide( X, Y ) ), Y ) ] )
% 0.73/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.10 )] ) ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 paramod(
% 0.73/1.10 clause( 113, [ =( divide( X, divide( identity, Z ) ), multiply( X, Z ) ) ]
% 0.73/1.10 )
% 0.73/1.10 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.73/1.10 , 0, clause( 1, [ =( divide( X, divide( divide( Z, Z ), Y ) ), multiply( X
% 0.73/1.10 , Y ) ) ] )
% 0.73/1.10 , 0, 4, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.10 :=( Y, Z ), :=( Z, Y )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 paramod(
% 0.73/1.10 clause( 114, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.73/1.10 , clause( 5, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.73/1.10 , 0, clause( 113, [ =( divide( X, divide( identity, Z ) ), multiply( X, Z )
% 0.73/1.10 ) ] )
% 0.73/1.10 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.10 :=( Y, Z ), :=( Z, Y )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 subsumption(
% 0.73/1.10 clause( 21, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.73/1.10 , clause( 114, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.73/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.10 )] ) ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 eqswap(
% 0.73/1.10 clause( 117, [ =( Y, divide( X, divide( X, Y ) ) ) ] )
% 0.73/1.10 , clause( 20, [ =( divide( X, divide( X, Y ) ), Y ) ] )
% 0.73/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 paramod(
% 0.73/1.10 clause( 121, [ =( X, divide( identity, inverse( X ) ) ) ] )
% 0.73/1.10 , clause( 5, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.73/1.10 , 0, clause( 117, [ =( Y, divide( X, divide( X, Y ) ) ) ] )
% 0.73/1.10 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.73/1.10 identity ), :=( Y, X )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 paramod(
% 0.73/1.10 clause( 123, [ =( X, multiply( identity, X ) ) ] )
% 0.73/1.10 , clause( 21, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.73/1.10 , 0, clause( 121, [ =( X, divide( identity, inverse( X ) ) ) ] )
% 0.73/1.10 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 0.73/1.10 1, [ :=( X, X )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 eqswap(
% 0.73/1.10 clause( 124, [ =( multiply( identity, X ), X ) ] )
% 0.73/1.10 , clause( 123, [ =( X, multiply( identity, X ) ) ] )
% 0.73/1.10 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 subsumption(
% 0.73/1.10 clause( 26, [ =( multiply( identity, X ), X ) ] )
% 0.73/1.10 , clause( 124, [ =( multiply( identity, X ), X ) ] )
% 0.73/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 eqswap(
% 0.73/1.10 clause( 125, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.73/1.10 , clause( 21, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.73/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 paramod(
% 0.73/1.10 clause( 127, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.73/1.10 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.73/1.10 , 0, clause( 125, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.73/1.10 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.73/1.10 :=( X, inverse( X ) ), :=( Y, X )] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 subsumption(
% 0.73/1.10 clause( 50, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.73/1.10 , clause( 127, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.73/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 eqswap(
% 0.73/1.10 clause( 130, [ ~( =( a2, multiply( multiply( inverse( b2 ), b2 ), a2 ) ) )
% 0.73/1.10 ] )
% 0.73/1.10 , clause( 4, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) )
% 0.73/1.10 ] )
% 0.73/1.10 , 0, substitution( 0, [] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 paramod(
% 0.73/1.10 clause( 132, [ ~( =( a2, multiply( identity, a2 ) ) ) ] )
% 0.73/1.10 , clause( 50, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.73/1.10 , 0, clause( 130, [ ~( =( a2, multiply( multiply( inverse( b2 ), b2 ), a2 )
% 0.73/1.10 ) ) ] )
% 0.73/1.10 , 0, 4, substitution( 0, [ :=( X, b2 )] ), substitution( 1, [] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 paramod(
% 0.73/1.10 clause( 133, [ ~( =( a2, a2 ) ) ] )
% 0.73/1.10 , clause( 26, [ =( multiply( identity, X ), X ) ] )
% 0.73/1.10 , 0, clause( 132, [ ~( =( a2, multiply( identity, a2 ) ) ) ] )
% 0.73/1.10 , 0, 3, substitution( 0, [ :=( X, a2 )] ), substitution( 1, [] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 eqrefl(
% 0.73/1.10 clause( 134, [] )
% 0.73/1.10 , clause( 133, [ ~( =( a2, a2 ) ) ] )
% 0.73/1.10 , 0, substitution( 0, [] )).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 subsumption(
% 0.73/1.10 clause( 51, [] )
% 0.73/1.10 , clause( 134, [] )
% 0.73/1.10 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 end.
% 0.73/1.10
% 0.73/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.10
% 0.73/1.10 Memory use:
% 0.73/1.10
% 0.73/1.10 space for terms: 593
% 0.73/1.10 space for clauses: 5453
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 clauses generated: 158
% 0.73/1.10 clauses kept: 52
% 0.73/1.10 clauses selected: 16
% 0.73/1.10 clauses deleted: 3
% 0.73/1.10 clauses inuse deleted: 0
% 0.73/1.10
% 0.73/1.10 subsentry: 219
% 0.73/1.10 literals s-matched: 86
% 0.73/1.10 literals matched: 86
% 0.73/1.10 full subsumption: 0
% 0.73/1.10
% 0.73/1.10 checksum: 151532157
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 Bliksem ended
%------------------------------------------------------------------------------