TSTP Solution File: BOO001-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : BOO001-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.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 23:30:32 EDT 2022
% Result : Unsatisfiable 0.70s 1.08s
% Output : Refutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : BOO001-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n017.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 : Wed Jun 1 19:28:57 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.70/1.08 *** allocated 10000 integers for termspace/termends
% 0.70/1.08 *** allocated 10000 integers for clauses
% 0.70/1.08 *** allocated 10000 integers for justifications
% 0.70/1.08 Bliksem 1.12
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 Automatic Strategy Selection
% 0.70/1.08
% 0.70/1.08 Clauses:
% 0.70/1.08 [
% 0.70/1.08 [ =( multiply( multiply( X, Y, Z ), T, multiply( X, Y, U ) ), multiply(
% 0.70/1.08 X, Y, multiply( Z, T, U ) ) ) ],
% 0.70/1.08 [ =( multiply( X, Y, Y ), Y ) ],
% 0.70/1.08 [ =( multiply( X, X, Y ), X ) ],
% 0.70/1.08 [ =( multiply( inverse( X ), X, Y ), Y ) ],
% 0.70/1.08 [ =( multiply( X, Y, inverse( Y ) ), X ) ],
% 0.70/1.08 [ ~( =( inverse( inverse( a ) ), a ) ) ]
% 0.70/1.08 ] .
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 percentage equality = 1.000000, percentage horn = 1.000000
% 0.70/1.08 This is a pure equality problem
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 Options Used:
% 0.70/1.08
% 0.70/1.08 useres = 1
% 0.70/1.08 useparamod = 1
% 0.70/1.08 useeqrefl = 1
% 0.70/1.08 useeqfact = 1
% 0.70/1.08 usefactor = 1
% 0.70/1.08 usesimpsplitting = 0
% 0.70/1.08 usesimpdemod = 5
% 0.70/1.08 usesimpres = 3
% 0.70/1.08
% 0.70/1.08 resimpinuse = 1000
% 0.70/1.08 resimpclauses = 20000
% 0.70/1.08 substype = eqrewr
% 0.70/1.08 backwardsubs = 1
% 0.70/1.08 selectoldest = 5
% 0.70/1.08
% 0.70/1.08 litorderings [0] = split
% 0.70/1.08 litorderings [1] = extend the termordering, first sorting on arguments
% 0.70/1.08
% 0.70/1.08 termordering = kbo
% 0.70/1.08
% 0.70/1.08 litapriori = 0
% 0.70/1.08 termapriori = 1
% 0.70/1.08 litaposteriori = 0
% 0.70/1.08 termaposteriori = 0
% 0.70/1.08 demodaposteriori = 0
% 0.70/1.08 ordereqreflfact = 0
% 0.70/1.08
% 0.70/1.08 litselect = negord
% 0.70/1.08
% 0.70/1.08 maxweight = 15
% 0.70/1.08 maxdepth = 30000
% 0.70/1.08 maxlength = 115
% 0.70/1.08 maxnrvars = 195
% 0.70/1.08 excuselevel = 1
% 0.70/1.08 increasemaxweight = 1
% 0.70/1.08
% 0.70/1.08 maxselected = 10000000
% 0.70/1.08 maxnrclauses = 10000000
% 0.70/1.08
% 0.70/1.08 showgenerated = 0
% 0.70/1.08 showkept = 0
% 0.70/1.08 showselected = 0
% 0.70/1.08 showdeleted = 0
% 0.70/1.08 showresimp = 1
% 0.70/1.08 showstatus = 2000
% 0.70/1.08
% 0.70/1.08 prologoutput = 1
% 0.70/1.08 nrgoals = 5000000
% 0.70/1.08 totalproof = 1
% 0.70/1.08
% 0.70/1.08 Symbols occurring in the translation:
% 0.70/1.08
% 0.70/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.70/1.08 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.70/1.08 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.70/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.08 multiply [42, 3] (w:1, o:46, a:1, s:1, b:0),
% 0.70/1.08 inverse [45, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.70/1.08 a [46, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 Starting Search:
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 Bliksems!, er is een bewijs:
% 0.70/1.08 % SZS status Unsatisfiable
% 0.70/1.08 % SZS output start Refutation
% 0.70/1.08
% 0.70/1.08 clause( 0, [ =( multiply( multiply( X, Y, Z ), T, multiply( X, Y, U ) ),
% 0.70/1.08 multiply( X, Y, multiply( Z, T, U ) ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 1, [ =( multiply( X, Y, Y ), Y ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 4, [ =( multiply( X, Y, inverse( Y ) ), X ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 5, [ ~( =( inverse( inverse( a ) ), a ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 11, [ =( multiply( Y, Z, multiply( X, Y, T ) ), multiply( X, Y,
% 0.70/1.08 multiply( Y, Z, T ) ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 12, [ =( multiply( X, Y, multiply( Z, T, Y ) ), multiply( multiply(
% 0.70/1.08 X, Y, Z ), T, Y ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 27, [ =( multiply( multiply( X, Y, Z ), X, Y ), multiply( Z, X, Y )
% 0.70/1.08 ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 35, [ =( multiply( X, inverse( X ), Y ), Y ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 41, [ =( inverse( inverse( X ) ), X ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 53, [] )
% 0.70/1.08 .
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 % SZS output end Refutation
% 0.70/1.08 found a proof!
% 0.70/1.08
% 0.70/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.08
% 0.70/1.08 initialclauses(
% 0.70/1.08 [ clause( 55, [ =( multiply( multiply( X, Y, Z ), T, multiply( X, Y, U ) )
% 0.70/1.08 , multiply( X, Y, multiply( Z, T, U ) ) ) ] )
% 0.70/1.08 , clause( 56, [ =( multiply( X, Y, Y ), Y ) ] )
% 0.70/1.08 , clause( 57, [ =( multiply( X, X, Y ), X ) ] )
% 0.70/1.08 , clause( 58, [ =( multiply( inverse( X ), X, Y ), Y ) ] )
% 0.70/1.08 , clause( 59, [ =( multiply( X, Y, inverse( Y ) ), X ) ] )
% 0.70/1.08 , clause( 60, [ ~( =( inverse( inverse( a ) ), a ) ) ] )
% 0.70/1.08 ] ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 0, [ =( multiply( multiply( X, Y, Z ), T, multiply( X, Y, U ) ),
% 0.70/1.08 multiply( X, Y, multiply( Z, T, U ) ) ) ] )
% 0.70/1.08 , clause( 55, [ =( multiply( multiply( X, Y, Z ), T, multiply( X, Y, U ) )
% 0.70/1.08 , multiply( X, Y, multiply( Z, T, U ) ) ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.70/1.08 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 1, [ =( multiply( X, Y, Y ), Y ) ] )
% 0.70/1.08 , clause( 56, [ =( multiply( X, Y, Y ), Y ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.08 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 4, [ =( multiply( X, Y, inverse( Y ) ), X ) ] )
% 0.70/1.08 , clause( 59, [ =( multiply( X, Y, inverse( Y ) ), X ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.08 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 5, [ ~( =( inverse( inverse( a ) ), a ) ) ] )
% 0.70/1.08 , clause( 60, [ ~( =( inverse( inverse( a ) ), a ) ) ] )
% 0.70/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 76, [ =( multiply( X, Y, multiply( Z, T, U ) ), multiply( multiply(
% 0.70/1.08 X, Y, Z ), T, multiply( X, Y, U ) ) ) ] )
% 0.70/1.08 , clause( 0, [ =( multiply( multiply( X, Y, Z ), T, multiply( X, Y, U ) ),
% 0.70/1.08 multiply( X, Y, multiply( Z, T, U ) ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 0.70/1.08 :=( U, U )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 82, [ =( multiply( X, Y, multiply( Y, Z, T ) ), multiply( Y, Z,
% 0.70/1.08 multiply( X, Y, T ) ) ) ] )
% 0.70/1.08 , clause( 1, [ =( multiply( X, Y, Y ), Y ) ] )
% 0.70/1.08 , 0, clause( 76, [ =( multiply( X, Y, multiply( Z, T, U ) ), multiply(
% 0.70/1.08 multiply( X, Y, Z ), T, multiply( X, Y, U ) ) ) ] )
% 0.70/1.08 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.70/1.08 :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, Z ), :=( U, T )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 87, [ =( multiply( Y, Z, multiply( X, Y, T ) ), multiply( X, Y,
% 0.70/1.08 multiply( Y, Z, T ) ) ) ] )
% 0.70/1.08 , clause( 82, [ =( multiply( X, Y, multiply( Y, Z, T ) ), multiply( Y, Z,
% 0.70/1.08 multiply( X, Y, T ) ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.70/1.08 ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 11, [ =( multiply( Y, Z, multiply( X, Y, T ) ), multiply( X, Y,
% 0.70/1.08 multiply( Y, Z, T ) ) ) ] )
% 0.70/1.08 , clause( 87, [ =( multiply( Y, Z, multiply( X, Y, T ) ), multiply( X, Y,
% 0.70/1.08 multiply( Y, Z, T ) ) ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.70/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 90, [ =( multiply( X, Y, multiply( Z, T, U ) ), multiply( multiply(
% 0.70/1.08 X, Y, Z ), T, multiply( X, Y, U ) ) ) ] )
% 0.70/1.08 , clause( 0, [ =( multiply( multiply( X, Y, Z ), T, multiply( X, Y, U ) ),
% 0.70/1.08 multiply( X, Y, multiply( Z, T, U ) ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 0.70/1.08 :=( U, U )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 97, [ =( multiply( X, Y, multiply( Z, T, Y ) ), multiply( multiply(
% 0.70/1.08 X, Y, Z ), T, Y ) ) ] )
% 0.70/1.08 , clause( 1, [ =( multiply( X, Y, Y ), Y ) ] )
% 0.70/1.08 , 0, clause( 90, [ =( multiply( X, Y, multiply( Z, T, U ) ), multiply(
% 0.70/1.08 multiply( X, Y, Z ), T, multiply( X, Y, U ) ) ) ] )
% 0.70/1.08 , 0, 14, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.70/1.08 :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U, Y )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 12, [ =( multiply( X, Y, multiply( Z, T, Y ) ), multiply( multiply(
% 0.70/1.08 X, Y, Z ), T, Y ) ) ] )
% 0.70/1.08 , clause( 97, [ =( multiply( X, Y, multiply( Z, T, Y ) ), multiply(
% 0.70/1.08 multiply( X, Y, Z ), T, Y ) ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.70/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 104, [ =( multiply( Z, X, multiply( X, Y, T ) ), multiply( X, Y,
% 0.70/1.08 multiply( Z, X, T ) ) ) ] )
% 0.70/1.08 , clause( 11, [ =( multiply( Y, Z, multiply( X, Y, T ) ), multiply( X, Y,
% 0.70/1.08 multiply( Y, Z, T ) ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, T )] )
% 0.70/1.08 ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 107, [ =( multiply( X, Y, Z ), multiply( Y, Z, multiply( X, Y, Z )
% 0.70/1.08 ) ) ] )
% 0.70/1.08 , clause( 1, [ =( multiply( X, Y, Y ), Y ) ] )
% 0.70/1.08 , 0, clause( 104, [ =( multiply( Z, X, multiply( X, Y, T ) ), multiply( X,
% 0.70/1.08 Y, multiply( Z, X, T ) ) ) ] )
% 0.70/1.08 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.70/1.08 :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, Z )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 112, [ =( multiply( X, Y, Z ), multiply( multiply( Y, Z, X ), Y, Z
% 0.70/1.08 ) ) ] )
% 0.70/1.08 , clause( 12, [ =( multiply( X, Y, multiply( Z, T, Y ) ), multiply(
% 0.70/1.08 multiply( X, Y, Z ), T, Y ) ) ] )
% 0.70/1.08 , 0, clause( 107, [ =( multiply( X, Y, Z ), multiply( Y, Z, multiply( X, Y
% 0.70/1.08 , Z ) ) ) ] )
% 0.70/1.08 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, Y )] )
% 0.70/1.08 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 113, [ =( multiply( multiply( Y, Z, X ), Y, Z ), multiply( X, Y, Z
% 0.70/1.08 ) ) ] )
% 0.70/1.08 , clause( 112, [ =( multiply( X, Y, Z ), multiply( multiply( Y, Z, X ), Y,
% 0.70/1.08 Z ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 27, [ =( multiply( multiply( X, Y, Z ), X, Y ), multiply( Z, X, Y )
% 0.70/1.08 ) ] )
% 0.70/1.08 , clause( 113, [ =( multiply( multiply( Y, Z, X ), Y, Z ), multiply( X, Y,
% 0.70/1.08 Z ) ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.70/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 114, [ =( multiply( Z, X, Y ), multiply( multiply( X, Y, Z ), X, Y
% 0.70/1.08 ) ) ] )
% 0.70/1.08 , clause( 27, [ =( multiply( multiply( X, Y, Z ), X, Y ), multiply( Z, X, Y
% 0.70/1.08 ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 118, [ =( multiply( X, Y, inverse( Y ) ), multiply( Y, inverse( Y )
% 0.70/1.08 , X ) ) ] )
% 0.70/1.08 , clause( 4, [ =( multiply( X, Y, inverse( Y ) ), X ) ] )
% 0.70/1.08 , 0, clause( 114, [ =( multiply( Z, X, Y ), multiply( multiply( X, Y, Z ),
% 0.70/1.08 X, Y ) ) ] )
% 0.70/1.08 , 0, 6, substitution( 0, [ :=( X, multiply( Y, inverse( Y ), X ) ), :=( Y,
% 0.70/1.08 Y )] ), substitution( 1, [ :=( X, Y ), :=( Y, inverse( Y ) ), :=( Z, X )] )
% 0.70/1.08 ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 121, [ =( X, multiply( Y, inverse( Y ), X ) ) ] )
% 0.70/1.08 , clause( 4, [ =( multiply( X, Y, inverse( Y ) ), X ) ] )
% 0.70/1.08 , 0, clause( 118, [ =( multiply( X, Y, inverse( Y ) ), multiply( Y, inverse(
% 0.70/1.08 Y ), X ) ) ] )
% 0.70/1.08 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.70/1.08 :=( X, X ), :=( Y, Y )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 122, [ =( multiply( Y, inverse( Y ), X ), X ) ] )
% 0.70/1.08 , clause( 121, [ =( X, multiply( Y, inverse( Y ), X ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 35, [ =( multiply( X, inverse( X ), Y ), Y ) ] )
% 0.70/1.08 , clause( 122, [ =( multiply( Y, inverse( Y ), X ), X ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.08 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 123, [ =( Y, multiply( X, inverse( X ), Y ) ) ] )
% 0.70/1.08 , clause( 35, [ =( multiply( X, inverse( X ), Y ), Y ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 125, [ =( inverse( inverse( X ) ), X ) ] )
% 0.70/1.08 , clause( 4, [ =( multiply( X, Y, inverse( Y ) ), X ) ] )
% 0.70/1.08 , 0, clause( 123, [ =( Y, multiply( X, inverse( X ), Y ) ) ] )
% 0.70/1.08 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, inverse( X ) )] ),
% 0.70/1.08 substitution( 1, [ :=( X, X ), :=( Y, inverse( inverse( X ) ) )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 41, [ =( inverse( inverse( X ) ), X ) ] )
% 0.70/1.08 , clause( 125, [ =( inverse( inverse( X ) ), X ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 127, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.70/1.08 , clause( 41, [ =( inverse( inverse( X ) ), X ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 128, [ ~( =( a, inverse( inverse( a ) ) ) ) ] )
% 0.70/1.08 , clause( 5, [ ~( =( inverse( inverse( a ) ), a ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 resolution(
% 0.70/1.08 clause( 129, [] )
% 0.70/1.08 , clause( 128, [ ~( =( a, inverse( inverse( a ) ) ) ) ] )
% 0.70/1.08 , 0, clause( 127, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 53, [] )
% 0.70/1.08 , clause( 129, [] )
% 0.70/1.08 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 end.
% 0.70/1.08
% 0.70/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.08
% 0.70/1.08 Memory use:
% 0.70/1.08
% 0.70/1.08 space for terms: 788
% 0.70/1.08 space for clauses: 6347
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 clauses generated: 838
% 0.70/1.08 clauses kept: 54
% 0.70/1.08 clauses selected: 22
% 0.70/1.08 clauses deleted: 0
% 0.70/1.08 clauses inuse deleted: 0
% 0.70/1.08
% 0.70/1.08 subsentry: 289
% 0.70/1.08 literals s-matched: 87
% 0.70/1.08 literals matched: 77
% 0.70/1.08 full subsumption: 0
% 0.70/1.08
% 0.70/1.08 checksum: 2137776295
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 Bliksem ended
%------------------------------------------------------------------------------