%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : BOO002-2 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.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 : Thu Jul 14 23:30:33 EDT 2022
% Result : Unsatisfiable 0.72s 1.12s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : BOO002-2 : TPTP v8.1.0. Released v1.1.0.
% 0.04/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n019.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 : Wed Jun 1 19:47:55 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.72/1.12 *** allocated 10000 integers for termspace/termends
% 0.72/1.12 *** allocated 10000 integers for clauses
% 0.72/1.12 *** allocated 10000 integers for justifications
% 0.72/1.12 Bliksem 1.12
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Automatic Strategy Selection
% 0.72/1.12
% 0.72/1.12 Clauses:
% 0.72/1.12 [
% 0.72/1.12 [ =( multiply( multiply( X, Y, Z ), T, multiply( X, Y, U ) ), multiply(
% 0.72/1.12 X, Y, multiply( Z, T, U ) ) ) ],
% 0.72/1.12 [ =( multiply( X, Y, Y ), Y ) ],
% 0.72/1.12 [ =( multiply( X, X, Y ), X ) ],
% 0.72/1.12 [ =( multiply( inverse( X ), X, Y ), Y ) ],
% 0.72/1.12 [ =( multiply( X, Y, X ), X ) ],
% 0.72/1.12 [ ~( =( multiply( a, inverse( a ), b ), b ) ) ]
% 0.72/1.12 ] .
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 percentage equality = 1.000000, percentage horn = 1.000000
% 0.72/1.12 This is a pure equality problem
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Options Used:
% 0.72/1.12
% 0.72/1.12 useres = 1
% 0.72/1.12 useparamod = 1
% 0.72/1.12 useeqrefl = 1
% 0.72/1.12 useeqfact = 1
% 0.72/1.12 usefactor = 1
% 0.72/1.12 usesimpsplitting = 0
% 0.72/1.12 usesimpdemod = 5
% 0.72/1.12 usesimpres = 3
% 0.72/1.12
% 0.72/1.12 resimpinuse = 1000
% 0.72/1.12 resimpclauses = 20000
% 0.72/1.12 substype = eqrewr
% 0.72/1.12 backwardsubs = 1
% 0.72/1.12 selectoldest = 5
% 0.72/1.12
% 0.72/1.12 litorderings [0] = split
% 0.72/1.12 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.12
% 0.72/1.12 termordering = kbo
% 0.72/1.12
% 0.72/1.12 litapriori = 0
% 0.72/1.12 termapriori = 1
% 0.72/1.12 litaposteriori = 0
% 0.72/1.12 termaposteriori = 0
% 0.72/1.12 demodaposteriori = 0
% 0.72/1.12 ordereqreflfact = 0
% 0.72/1.12
% 0.72/1.12 litselect = negord
% 0.72/1.12
% 0.72/1.12 maxweight = 15
% 0.72/1.12 maxdepth = 30000
% 0.72/1.12 maxlength = 115
% 0.72/1.12 maxnrvars = 195
% 0.72/1.12 excuselevel = 1
% 0.72/1.12 increasemaxweight = 1
% 0.72/1.12
% 0.72/1.12 maxselected = 10000000
% 0.72/1.12 maxnrclauses = 10000000
% 0.72/1.12
% 0.72/1.12 showgenerated = 0
% 0.72/1.12 showkept = 0
% 0.72/1.12 showselected = 0
% 0.72/1.12 showdeleted = 0
% 0.72/1.12 showresimp = 1
% 0.72/1.12 showstatus = 2000
% 0.72/1.12
% 0.72/1.12 prologoutput = 1
% 0.72/1.12 nrgoals = 5000000
% 0.72/1.12 totalproof = 1
% 0.72/1.12
% 0.72/1.12 Symbols occurring in the translation:
% 0.72/1.12
% 0.72/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.12 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.72/1.12 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.72/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.12 multiply [42, 3] (w:1, o:47, a:1, s:1, b:0),
% 0.72/1.12 inverse [45, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.72/1.12 a [46, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.72/1.12 b [47, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Starting Search:
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Bliksems!, er is een bewijs:
% 0.72/1.12 % SZS status Unsatisfiable
% 0.72/1.12 % SZS output start Refutation
% 0.72/1.12
% 0.72/1.12 clause( 0, [ =( multiply( multiply( X, Y, Z ), T, multiply( X, Y, U ) ),
% 0.72/1.12 multiply( X, Y, multiply( Z, T, U ) ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 1, [ =( multiply( X, Y, Y ), Y ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 2, [ =( multiply( X, X, Y ), X ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 3, [ =( multiply( inverse( X ), X, Y ), Y ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 4, [ =( multiply( X, Y, X ), X ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 5, [ ~( =( multiply( a, inverse( a ), b ), b ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 10, [ =( multiply( X, Y, multiply( Z, T, Y ) ), multiply( multiply(
% 0.72/1.12 X, Y, Z ), T, Y ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 13, [ =( multiply( X, Y, multiply( Z, T, X ) ), multiply( multiply(
% 0.72/1.12 X, Y, Z ), T, X ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 17, [ =( multiply( multiply( Z, Y, inverse( X ) ), X, Y ), Y ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 18, [ =( multiply( multiply( Z, Y, X ), X, Y ), multiply( Z, Y, X )
% 0.72/1.12 ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 21, [ =( multiply( multiply( X, inverse( Y ), Z ), Y, Z ), Z ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 36, [ =( multiply( multiply( Y, Z, X ), X, Y ), multiply( Y, Z, X )
% 0.72/1.12 ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 48, [ =( multiply( multiply( X, Y, Z ), X, Z ), multiply( X, Y, Z )
% 0.72/1.12 ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 61, [ =( multiply( X, inverse( X ), Y ), Y ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 63, [] )
% 0.72/1.12 .
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 % SZS output end Refutation
% 0.72/1.12 found a proof!
% 0.72/1.12
% 0.72/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.12
% 0.72/1.12 initialclauses(
% 0.72/1.12 [ clause( 65, [ =( multiply( multiply( X, Y, Z ), T, multiply( X, Y, U ) )
% 0.72/1.12 , multiply( X, Y, multiply( Z, T, U ) ) ) ] )
% 0.72/1.12 , clause( 66, [ =( multiply( X, Y, Y ), Y ) ] )
% 0.72/1.12 , clause( 67, [ =( multiply( X, X, Y ), X ) ] )
% 0.72/1.12 , clause( 68, [ =( multiply( inverse( X ), X, Y ), Y ) ] )
% 0.72/1.12 , clause( 69, [ =( multiply( X, Y, X ), X ) ] )
% 0.72/1.12 , clause( 70, [ ~( =( multiply( a, inverse( a ), b ), b ) ) ] )
% 0.72/1.12 ] ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 0, [ =( multiply( multiply( X, Y, Z ), T, multiply( X, Y, U ) ),
% 0.72/1.12 multiply( X, Y, multiply( Z, T, U ) ) ) ] )
% 0.72/1.12 , clause( 65, [ =( multiply( multiply( X, Y, Z ), T, multiply( X, Y, U ) )
% 0.72/1.12 , multiply( X, Y, multiply( Z, T, U ) ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.72/1.12 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 1, [ =( multiply( X, Y, Y ), Y ) ] )
% 0.72/1.12 , clause( 66, [ =( multiply( X, Y, Y ), Y ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.12 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 2, [ =( multiply( X, X, Y ), X ) ] )
% 0.72/1.12 , clause( 67, [ =( multiply( X, X, Y ), X ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.12 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 3, [ =( multiply( inverse( X ), X, Y ), Y ) ] )
% 0.72/1.12 , clause( 68, [ =( multiply( inverse( X ), X, Y ), Y ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.12 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 4, [ =( multiply( X, Y, X ), X ) ] )
% 0.72/1.12 , clause( 69, [ =( multiply( X, Y, X ), X ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.12 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 5, [ ~( =( multiply( a, inverse( a ), b ), b ) ) ] )
% 0.72/1.12 , clause( 70, [ ~( =( multiply( a, inverse( a ), b ), b ) ) ] )
% 0.72/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 93, [ =( multiply( X, Y, multiply( Z, T, U ) ), multiply( multiply(
% 0.72/1.12 X, Y, Z ), T, multiply( X, Y, U ) ) ) ] )
% 0.72/1.12 , clause( 0, [ =( multiply( multiply( X, Y, Z ), T, multiply( X, Y, U ) ),
% 0.72/1.12 multiply( X, Y, multiply( Z, T, U ) ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 0.72/1.12 :=( U, U )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 100, [ =( multiply( X, Y, multiply( Z, T, Y ) ), multiply( multiply(
% 0.72/1.12 X, Y, Z ), T, Y ) ) ] )
% 0.72/1.12 , clause( 1, [ =( multiply( X, Y, Y ), Y ) ] )
% 0.72/1.12 , 0, clause( 93, [ =( multiply( X, Y, multiply( Z, T, U ) ), multiply(
% 0.72/1.12 multiply( X, Y, Z ), T, multiply( X, Y, U ) ) ) ] )
% 0.72/1.12 , 0, 14, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.12 :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 10, [ =( multiply( X, Y, multiply( Z, T, Y ) ), multiply( multiply(
% 0.72/1.12 X, Y, Z ), T, Y ) ) ] )
% 0.72/1.12 , clause( 100, [ =( multiply( X, Y, multiply( Z, T, Y ) ), multiply(
% 0.72/1.12 multiply( X, Y, Z ), T, Y ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 107, [ =( multiply( X, Y, multiply( Z, T, U ) ), multiply( multiply(
% 0.72/1.12 X, Y, Z ), T, multiply( X, Y, U ) ) ) ] )
% 0.72/1.12 , clause( 0, [ =( multiply( multiply( X, Y, Z ), T, multiply( X, Y, U ) ),
% 0.72/1.12 multiply( X, Y, multiply( Z, T, U ) ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 0.72/1.12 :=( U, U )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 114, [ =( multiply( X, Y, multiply( Z, T, X ) ), multiply( multiply(
% 0.72/1.12 X, Y, Z ), T, X ) ) ] )
% 0.72/1.12 , clause( 4, [ =( multiply( X, Y, X ), X ) ] )
% 0.72/1.12 , 0, clause( 107, [ =( multiply( X, Y, multiply( Z, T, U ) ), multiply(
% 0.72/1.12 multiply( X, Y, Z ), T, multiply( X, Y, U ) ) ) ] )
% 0.72/1.12 , 0, 14, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.12 :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 13, [ =( multiply( X, Y, multiply( Z, T, X ) ), multiply( multiply(
% 0.72/1.12 X, Y, Z ), T, X ) ) ] )
% 0.72/1.12 , clause( 114, [ =( multiply( X, Y, multiply( Z, T, X ) ), multiply(
% 0.72/1.12 multiply( X, Y, Z ), T, X ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 121, [ =( multiply( multiply( X, Y, Z ), T, Y ), multiply( X, Y,
% 0.72/1.12 multiply( Z, T, Y ) ) ) ] )
% 0.72/1.12 , clause( 10, [ =( multiply( X, Y, multiply( Z, T, Y ) ), multiply(
% 0.72/1.12 multiply( X, Y, Z ), T, Y ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.72/1.12 ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 126, [ =( multiply( multiply( X, Y, inverse( Z ) ), Z, Y ),
% 0.72/1.12 multiply( X, Y, Y ) ) ] )
% 0.72/1.12 , clause( 3, [ =( multiply( inverse( X ), X, Y ), Y ) ] )
% 0.72/1.12 , 0, clause( 121, [ =( multiply( multiply( X, Y, Z ), T, Y ), multiply( X,
% 0.72/1.12 Y, multiply( Z, T, Y ) ) ) ] )
% 0.72/1.12 , 0, 12, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.12 :=( X, X ), :=( Y, Y ), :=( Z, inverse( Z ) ), :=( T, Z )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 128, [ =( multiply( multiply( X, Y, inverse( Z ) ), Z, Y ), Y ) ]
% 0.72/1.12 )
% 0.72/1.12 , clause( 1, [ =( multiply( X, Y, Y ), Y ) ] )
% 0.72/1.12 , 0, clause( 126, [ =( multiply( multiply( X, Y, inverse( Z ) ), Z, Y ),
% 0.72/1.12 multiply( X, Y, Y ) ) ] )
% 0.72/1.12 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.12 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 17, [ =( multiply( multiply( Z, Y, inverse( X ) ), X, Y ), Y ) ] )
% 0.72/1.12 , clause( 128, [ =( multiply( multiply( X, Y, inverse( Z ) ), Z, Y ), Y ) ]
% 0.72/1.12 )
% 0.72/1.12 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.72/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 131, [ =( multiply( multiply( X, Y, Z ), T, Y ), multiply( X, Y,
% 0.72/1.12 multiply( Z, T, Y ) ) ) ] )
% 0.72/1.12 , clause( 10, [ =( multiply( X, Y, multiply( Z, T, Y ) ), multiply(
% 0.72/1.12 multiply( X, Y, Z ), T, Y ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.72/1.12 ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 137, [ =( multiply( multiply( X, Y, Z ), Z, Y ), multiply( X, Y, Z
% 0.72/1.12 ) ) ] )
% 0.72/1.12 , clause( 2, [ =( multiply( X, X, Y ), X ) ] )
% 0.72/1.12 , 0, clause( 131, [ =( multiply( multiply( X, Y, Z ), T, Y ), multiply( X,
% 0.72/1.12 Y, multiply( Z, T, Y ) ) ) ] )
% 0.72/1.12 , 0, 11, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.12 :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Z )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 18, [ =( multiply( multiply( Z, Y, X ), X, Y ), multiply( Z, Y, X )
% 0.72/1.12 ) ] )
% 0.72/1.12 , clause( 137, [ =( multiply( multiply( X, Y, Z ), Z, Y ), multiply( X, Y,
% 0.72/1.12 Z ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.72/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 145, [ =( Y, multiply( multiply( X, Y, inverse( Z ) ), Z, Y ) ) ]
% 0.72/1.12 )
% 0.72/1.12 , clause( 17, [ =( multiply( multiply( Z, Y, inverse( X ) ), X, Y ), Y ) ]
% 0.72/1.12 )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 152, [ =( X, multiply( multiply( Y, inverse( Z ), X ), Z, X ) ) ]
% 0.72/1.12 )
% 0.72/1.12 , clause( 18, [ =( multiply( multiply( Z, Y, X ), X, Y ), multiply( Z, Y, X
% 0.72/1.12 ) ) ] )
% 0.72/1.12 , 0, clause( 145, [ =( Y, multiply( multiply( X, Y, inverse( Z ) ), Z, Y )
% 0.72/1.12 ) ] )
% 0.72/1.12 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, inverse( Z ) ), :=( Z, Y )] )
% 0.72/1.12 , substitution( 1, [ :=( X, multiply( Y, inverse( Z ), X ) ), :=( Y, X )
% 0.72/1.12 , :=( Z, Z )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 153, [ =( multiply( multiply( Y, inverse( Z ), X ), Z, X ), X ) ]
% 0.72/1.12 )
% 0.72/1.12 , clause( 152, [ =( X, multiply( multiply( Y, inverse( Z ), X ), Z, X ) ) ]
% 0.72/1.12 )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 21, [ =( multiply( multiply( X, inverse( Y ), Z ), Y, Z ), Z ) ] )
% 0.72/1.12 , clause( 153, [ =( multiply( multiply( Y, inverse( Z ), X ), Z, X ), X ) ]
% 0.72/1.12 )
% 0.72/1.12 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.72/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 155, [ =( multiply( multiply( X, Y, Z ), T, X ), multiply( X, Y,
% 0.72/1.12 multiply( Z, T, X ) ) ) ] )
% 0.72/1.12 , clause( 13, [ =( multiply( X, Y, multiply( Z, T, X ) ), multiply(
% 0.72/1.12 multiply( X, Y, Z ), T, X ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.72/1.12 ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 161, [ =( multiply( multiply( X, Y, Z ), Z, X ), multiply( X, Y, Z
% 0.72/1.12 ) ) ] )
% 0.72/1.12 , clause( 2, [ =( multiply( X, X, Y ), X ) ] )
% 0.72/1.12 , 0, clause( 155, [ =( multiply( multiply( X, Y, Z ), T, X ), multiply( X,
% 0.72/1.12 Y, multiply( Z, T, X ) ) ) ] )
% 0.72/1.12 , 0, 11, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 0.72/1.12 :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Z )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 36, [ =( multiply( multiply( Y, Z, X ), X, Y ), multiply( Y, Z, X )
% 0.72/1.12 ) ] )
% 0.72/1.12 , clause( 161, [ =( multiply( multiply( X, Y, Z ), Z, X ), multiply( X, Y,
% 0.72/1.12 Z ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.72/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 169, [ =( multiply( X, Y, Z ), multiply( multiply( X, Y, Z ), Z, Y
% 0.72/1.12 ) ) ] )
% 0.72/1.12 , clause( 18, [ =( multiply( multiply( Z, Y, X ), X, Y ), multiply( Z, Y, X
% 0.72/1.12 ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 178, [ =( multiply( multiply( X, Y, Z ), Z, X ), multiply( multiply(
% 0.72/1.12 X, Y, Z ), X, Z ) ) ] )
% 0.72/1.12 , clause( 36, [ =( multiply( multiply( Y, Z, X ), X, Y ), multiply( Y, Z, X
% 0.72/1.12 ) ) ] )
% 0.72/1.12 , 0, clause( 169, [ =( multiply( X, Y, Z ), multiply( multiply( X, Y, Z ),
% 0.72/1.12 Z, Y ) ) ] )
% 0.72/1.12 , 0, 9, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.72/1.12 substitution( 1, [ :=( X, multiply( X, Y, Z ) ), :=( Y, Z ), :=( Z, X )] )
% 0.72/1.12 ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 180, [ =( multiply( X, Y, Z ), multiply( multiply( X, Y, Z ), X, Z
% 0.72/1.12 ) ) ] )
% 0.72/1.12 , clause( 36, [ =( multiply( multiply( Y, Z, X ), X, Y ), multiply( Y, Z, X
% 0.72/1.12 ) ) ] )
% 0.72/1.12 , 0, clause( 178, [ =( multiply( multiply( X, Y, Z ), Z, X ), multiply(
% 0.72/1.12 multiply( X, Y, Z ), X, Z ) ) ] )
% 0.72/1.12 , 0, 1, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.72/1.12 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 182, [ =( multiply( multiply( X, Y, Z ), X, Z ), multiply( X, Y, Z
% 0.72/1.12 ) ) ] )
% 0.72/1.12 , clause( 180, [ =( multiply( X, Y, Z ), multiply( multiply( X, Y, Z ), X,
% 0.72/1.12 Z ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 48, [ =( multiply( multiply( X, Y, Z ), X, Z ), multiply( X, Y, Z )
% 0.72/1.12 ) ] )
% 0.72/1.12 , clause( 182, [ =( multiply( multiply( X, Y, Z ), X, Z ), multiply( X, Y,
% 0.72/1.12 Z ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 184, [ =( multiply( X, Y, Z ), multiply( multiply( X, Y, Z ), X, Z
% 0.72/1.12 ) ) ] )
% 0.72/1.12 , clause( 48, [ =( multiply( multiply( X, Y, Z ), X, Z ), multiply( X, Y, Z
% 0.72/1.12 ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 188, [ =( multiply( X, inverse( X ), Y ), Y ) ] )
% 0.72/1.12 , clause( 21, [ =( multiply( multiply( X, inverse( Y ), Z ), Y, Z ), Z ) ]
% 0.72/1.12 )
% 0.72/1.12 , 0, clause( 184, [ =( multiply( X, Y, Z ), multiply( multiply( X, Y, Z ),
% 0.72/1.12 X, Z ) ) ] )
% 0.72/1.12 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, Y )] ),
% 0.72/1.12 substitution( 1, [ :=( X, X ), :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 61, [ =( multiply( X, inverse( X ), Y ), Y ) ] )
% 0.72/1.12 , clause( 188, [ =( multiply( X, inverse( X ), Y ), Y ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.12 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 194, [ =( Y, multiply( X, inverse( X ), Y ) ) ] )
% 0.72/1.12 , clause( 61, [ =( multiply( X, inverse( X ), Y ), Y ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 195, [ ~( =( b, multiply( a, inverse( a ), b ) ) ) ] )
% 0.72/1.12 , clause( 5, [ ~( =( multiply( a, inverse( a ), b ), b ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 resolution(
% 0.72/1.12 clause( 196, [] )
% 0.72/1.12 , clause( 195, [ ~( =( b, multiply( a, inverse( a ), b ) ) ) ] )
% 0.72/1.12 , 0, clause( 194, [ =( Y, multiply( X, inverse( X ), Y ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b )] )
% 0.72/1.12 ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 63, [] )
% 0.72/1.12 , clause( 196, [] )
% 0.72/1.12 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 end.
% 0.72/1.12
% 0.72/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.12
% 0.72/1.12 Memory use:
% 0.72/1.12
% 0.72/1.12 space for terms: 976
% 0.72/1.12 space for clauses: 7839
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 clauses generated: 1767
% 0.72/1.12 clauses kept: 64
% 0.72/1.12 clauses selected: 33
% 0.72/1.12 clauses deleted: 1
% 0.72/1.12 clauses inuse deleted: 0
% 0.72/1.12
% 0.72/1.12 subsentry: 642
% 0.72/1.12 literals s-matched: 208
% 0.72/1.12 literals matched: 142
% 0.72/1.12 full subsumption: 0
% 0.72/1.12
% 0.72/1.12 checksum: 511147538
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Bliksem ended
%------------------------------------------------------------------------------