TSTP Solution File: BOO012-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : BOO012-2 : TPTP v8.1.0. Released v1.0.0.
% 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 : Thu Jul 14 23:30:38 EDT 2022
% Result : Unsatisfiable 0.70s 1.09s
% Output : Refutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : BOO012-2 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Wed Jun 1 15:40:44 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.70/1.09 *** allocated 10000 integers for termspace/termends
% 0.70/1.09 *** allocated 10000 integers for clauses
% 0.70/1.09 *** allocated 10000 integers for justifications
% 0.70/1.09 Bliksem 1.12
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Automatic Strategy Selection
% 0.70/1.09
% 0.70/1.09 Clauses:
% 0.70/1.09 [
% 0.70/1.09 [ =( add( X, Y ), add( Y, X ) ) ],
% 0.70/1.09 [ =( multiply( X, Y ), multiply( Y, X ) ) ],
% 0.70/1.09 [ =( add( multiply( X, Y ), Z ), multiply( add( X, Z ), add( Y, Z ) ) )
% 0.70/1.09 ],
% 0.70/1.09 [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add( X, Z ) ) )
% 0.70/1.09 ],
% 0.70/1.09 [ =( multiply( add( X, Y ), Z ), add( multiply( X, Z ), multiply( Y, Z )
% 0.70/1.09 ) ) ],
% 0.70/1.09 [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ), multiply( X, Z )
% 0.70/1.09 ) ) ],
% 0.70/1.09 [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ],
% 0.70/1.09 [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ],
% 0.70/1.09 [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ],
% 0.70/1.09 [ =( multiply( inverse( X ), X ), 'additive_identity' ) ],
% 0.70/1.09 [ =( multiply( X, 'multiplicative_identity' ), X ) ],
% 0.70/1.09 [ =( multiply( 'multiplicative_identity', X ), X ) ],
% 0.70/1.09 [ =( add( X, 'additive_identity' ), X ) ],
% 0.70/1.09 [ =( add( 'additive_identity', X ), X ) ],
% 0.70/1.09 [ ~( =( inverse( inverse( x ) ), x ) ) ]
% 0.70/1.09 ] .
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 percentage equality = 1.000000, percentage horn = 1.000000
% 0.70/1.09 This is a pure equality problem
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Options Used:
% 0.70/1.09
% 0.70/1.09 useres = 1
% 0.70/1.09 useparamod = 1
% 0.70/1.09 useeqrefl = 1
% 0.70/1.09 useeqfact = 1
% 0.70/1.09 usefactor = 1
% 0.70/1.09 usesimpsplitting = 0
% 0.70/1.09 usesimpdemod = 5
% 0.70/1.09 usesimpres = 3
% 0.70/1.09
% 0.70/1.09 resimpinuse = 1000
% 0.70/1.09 resimpclauses = 20000
% 0.70/1.09 substype = eqrewr
% 0.70/1.09 backwardsubs = 1
% 0.70/1.09 selectoldest = 5
% 0.70/1.09
% 0.70/1.09 litorderings [0] = split
% 0.70/1.09 litorderings [1] = extend the termordering, first sorting on arguments
% 0.70/1.09
% 0.70/1.09 termordering = kbo
% 0.70/1.09
% 0.70/1.09 litapriori = 0
% 0.70/1.09 termapriori = 1
% 0.70/1.09 litaposteriori = 0
% 0.70/1.09 termaposteriori = 0
% 0.70/1.09 demodaposteriori = 0
% 0.70/1.09 ordereqreflfact = 0
% 0.70/1.09
% 0.70/1.09 litselect = negord
% 0.70/1.09
% 0.70/1.09 maxweight = 15
% 0.70/1.09 maxdepth = 30000
% 0.70/1.09 maxlength = 115
% 0.70/1.09 maxnrvars = 195
% 0.70/1.09 excuselevel = 1
% 0.70/1.09 increasemaxweight = 1
% 0.70/1.09
% 0.70/1.09 maxselected = 10000000
% 0.70/1.09 maxnrclauses = 10000000
% 0.70/1.09
% 0.70/1.09 showgenerated = 0
% 0.70/1.09 showkept = 0
% 0.70/1.09 showselected = 0
% 0.70/1.09 showdeleted = 0
% 0.70/1.09 showresimp = 1
% 0.70/1.09 showstatus = 2000
% 0.70/1.09
% 0.70/1.09 prologoutput = 1
% 0.70/1.09 nrgoals = 5000000
% 0.70/1.09 totalproof = 1
% 0.70/1.09
% 0.70/1.09 Symbols occurring in the translation:
% 0.70/1.09
% 0.70/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.70/1.09 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.70/1.09 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.70/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.09 add [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.70/1.09 multiply [42, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.70/1.09 inverse [44, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.70/1.09 'multiplicative_identity' [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.70/1.09 'additive_identity' [46, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.70/1.09 x [47, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Starting Search:
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Bliksems!, er is een bewijs:
% 0.70/1.09 % SZS status Unsatisfiable
% 0.70/1.09 % SZS output start Refutation
% 0.70/1.09
% 0.70/1.09 clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 5, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X, add(
% 0.70/1.09 Y, Z ) ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 6, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 7, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 8, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 9, [ =( multiply( inverse( X ), X ), 'additive_identity' ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 10, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 13, [ =( add( 'additive_identity', X ), X ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 14, [ ~( =( inverse( inverse( x ) ), x ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 19, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y ) )
% 0.70/1.09 ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 21, [ =( multiply( inverse( X ), add( X, Y ) ), multiply( inverse(
% 0.70/1.09 X ), Y ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 28, [ =( multiply( X, inverse( inverse( X ) ) ), X ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 137, [ =( multiply( inverse( inverse( X ) ), X ), X ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 188, [ =( inverse( inverse( X ) ), X ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 189, [] )
% 0.70/1.09 .
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 % SZS output end Refutation
% 0.70/1.09 found a proof!
% 0.70/1.09
% 0.70/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.09
% 0.70/1.09 initialclauses(
% 0.70/1.09 [ clause( 191, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.70/1.09 , clause( 192, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.70/1.09 , clause( 193, [ =( add( multiply( X, Y ), Z ), multiply( add( X, Z ), add(
% 0.70/1.09 Y, Z ) ) ) ] )
% 0.70/1.09 , clause( 194, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add(
% 0.70/1.09 X, Z ) ) ) ] )
% 0.70/1.09 , clause( 195, [ =( multiply( add( X, Y ), Z ), add( multiply( X, Z ),
% 0.70/1.09 multiply( Y, Z ) ) ) ] )
% 0.70/1.09 , clause( 196, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.70/1.09 multiply( X, Z ) ) ) ] )
% 0.70/1.09 , clause( 197, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ]
% 0.70/1.09 )
% 0.70/1.09 , clause( 198, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ]
% 0.70/1.09 )
% 0.70/1.09 , clause( 199, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.70/1.09 , clause( 200, [ =( multiply( inverse( X ), X ), 'additive_identity' ) ] )
% 0.70/1.09 , clause( 201, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.70/1.09 , clause( 202, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.70/1.09 , clause( 203, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.70/1.09 , clause( 204, [ =( add( 'additive_identity', X ), X ) ] )
% 0.70/1.09 , clause( 205, [ ~( =( inverse( inverse( x ) ), x ) ) ] )
% 0.70/1.09 ] ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.70/1.09 , clause( 192, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.09 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 209, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.70/1.09 add( Y, Z ) ) ) ] )
% 0.70/1.09 , clause( 196, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.70/1.09 multiply( X, Z ) ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 5, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X, add(
% 0.70/1.09 Y, Z ) ) ) ] )
% 0.70/1.09 , clause( 209, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X
% 0.70/1.09 , add( Y, Z ) ) ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.70/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 6, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.70/1.09 , clause( 197, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ]
% 0.70/1.09 )
% 0.70/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 7, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.70/1.09 , clause( 198, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ]
% 0.70/1.09 )
% 0.70/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 8, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.70/1.09 , clause( 199, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 9, [ =( multiply( inverse( X ), X ), 'additive_identity' ) ] )
% 0.70/1.09 , clause( 200, [ =( multiply( inverse( X ), X ), 'additive_identity' ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 10, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.70/1.09 , clause( 201, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 13, [ =( add( 'additive_identity', X ), X ) ] )
% 0.70/1.09 , clause( 204, [ =( add( 'additive_identity', X ), X ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 14, [ ~( =( inverse( inverse( x ) ), x ) ) ] )
% 0.70/1.09 , clause( 205, [ ~( =( inverse( inverse( x ) ), x ) ) ] )
% 0.70/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 271, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.70/1.09 multiply( X, Z ) ) ) ] )
% 0.70/1.09 , clause( 5, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.70/1.09 add( Y, Z ) ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 273, [ =( multiply( X, add( inverse( X ), Y ) ), add(
% 0.70/1.09 'additive_identity', multiply( X, Y ) ) ) ] )
% 0.70/1.09 , clause( 8, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.70/1.09 , 0, clause( 271, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.70/1.09 multiply( X, Z ) ) ) ] )
% 0.70/1.09 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.70/1.09 :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 275, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y ) )
% 0.70/1.09 ] )
% 0.70/1.09 , clause( 13, [ =( add( 'additive_identity', X ), X ) ] )
% 0.70/1.09 , 0, clause( 273, [ =( multiply( X, add( inverse( X ), Y ) ), add(
% 0.70/1.09 'additive_identity', multiply( X, Y ) ) ) ] )
% 0.70/1.09 , 0, 7, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 0.70/1.09 :=( X, X ), :=( Y, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 19, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y ) )
% 0.70/1.09 ] )
% 0.70/1.09 , clause( 275, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y )
% 0.70/1.09 ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.09 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 278, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.70/1.09 multiply( X, Z ) ) ) ] )
% 0.70/1.09 , clause( 5, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.70/1.09 add( Y, Z ) ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 281, [ =( multiply( inverse( X ), add( X, Y ) ), add(
% 0.70/1.09 'additive_identity', multiply( inverse( X ), Y ) ) ) ] )
% 0.70/1.09 , clause( 9, [ =( multiply( inverse( X ), X ), 'additive_identity' ) ] )
% 0.70/1.09 , 0, clause( 278, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.70/1.09 multiply( X, Z ) ) ) ] )
% 0.70/1.09 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.70/1.09 X ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 283, [ =( multiply( inverse( X ), add( X, Y ) ), multiply( inverse(
% 0.70/1.09 X ), Y ) ) ] )
% 0.70/1.09 , clause( 13, [ =( add( 'additive_identity', X ), X ) ] )
% 0.70/1.09 , 0, clause( 281, [ =( multiply( inverse( X ), add( X, Y ) ), add(
% 0.70/1.09 'additive_identity', multiply( inverse( X ), Y ) ) ) ] )
% 0.70/1.09 , 0, 7, substitution( 0, [ :=( X, multiply( inverse( X ), Y ) )] ),
% 0.70/1.09 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 21, [ =( multiply( inverse( X ), add( X, Y ) ), multiply( inverse(
% 0.70/1.09 X ), Y ) ) ] )
% 0.70/1.09 , clause( 283, [ =( multiply( inverse( X ), add( X, Y ) ), multiply(
% 0.70/1.09 inverse( X ), Y ) ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.09 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 286, [ =( multiply( X, Y ), multiply( X, add( inverse( X ), Y ) ) )
% 0.70/1.09 ] )
% 0.70/1.09 , clause( 19, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y )
% 0.70/1.09 ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 288, [ =( multiply( X, inverse( inverse( X ) ) ), multiply( X,
% 0.70/1.09 'multiplicative_identity' ) ) ] )
% 0.70/1.09 , clause( 6, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.70/1.09 , 0, clause( 286, [ =( multiply( X, Y ), multiply( X, add( inverse( X ), Y
% 0.70/1.09 ) ) ) ] )
% 0.70/1.09 , 0, 8, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.70/1.09 :=( X, X ), :=( Y, inverse( inverse( X ) ) )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 289, [ =( multiply( X, inverse( inverse( X ) ) ), X ) ] )
% 0.70/1.09 , clause( 10, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.70/1.09 , 0, clause( 288, [ =( multiply( X, inverse( inverse( X ) ) ), multiply( X
% 0.70/1.09 , 'multiplicative_identity' ) ) ] )
% 0.70/1.09 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.70/1.09 ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 28, [ =( multiply( X, inverse( inverse( X ) ) ), X ) ] )
% 0.70/1.09 , clause( 289, [ =( multiply( X, inverse( inverse( X ) ) ), X ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 291, [ =( X, multiply( X, inverse( inverse( X ) ) ) ) ] )
% 0.70/1.09 , clause( 28, [ =( multiply( X, inverse( inverse( X ) ) ), X ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 292, [ =( X, multiply( inverse( inverse( X ) ), X ) ) ] )
% 0.70/1.09 , clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.70/1.09 , 0, clause( 291, [ =( X, multiply( X, inverse( inverse( X ) ) ) ) ] )
% 0.70/1.09 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, inverse( inverse( X ) ) )] )
% 0.70/1.09 , substitution( 1, [ :=( X, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 295, [ =( multiply( inverse( inverse( X ) ), X ), X ) ] )
% 0.70/1.09 , clause( 292, [ =( X, multiply( inverse( inverse( X ) ), X ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 137, [ =( multiply( inverse( inverse( X ) ), X ), X ) ] )
% 0.70/1.09 , clause( 295, [ =( multiply( inverse( inverse( X ) ), X ), X ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 297, [ =( multiply( inverse( X ), Y ), multiply( inverse( X ), add(
% 0.70/1.09 X, Y ) ) ) ] )
% 0.70/1.09 , clause( 21, [ =( multiply( inverse( X ), add( X, Y ) ), multiply( inverse(
% 0.70/1.09 X ), Y ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 300, [ =( multiply( inverse( inverse( X ) ), X ), multiply( inverse(
% 0.70/1.09 inverse( X ) ), 'multiplicative_identity' ) ) ] )
% 0.70/1.09 , clause( 7, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.70/1.09 , 0, clause( 297, [ =( multiply( inverse( X ), Y ), multiply( inverse( X )
% 0.70/1.09 , add( X, Y ) ) ) ] )
% 0.70/1.09 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.70/1.09 inverse( X ) ), :=( Y, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 301, [ =( multiply( inverse( inverse( X ) ), X ), inverse( inverse(
% 0.70/1.09 X ) ) ) ] )
% 0.70/1.09 , clause( 10, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.70/1.09 , 0, clause( 300, [ =( multiply( inverse( inverse( X ) ), X ), multiply(
% 0.70/1.09 inverse( inverse( X ) ), 'multiplicative_identity' ) ) ] )
% 0.70/1.09 , 0, 6, substitution( 0, [ :=( X, inverse( inverse( X ) ) )] ),
% 0.70/1.09 substitution( 1, [ :=( X, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 302, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.70/1.09 , clause( 137, [ =( multiply( inverse( inverse( X ) ), X ), X ) ] )
% 0.70/1.09 , 0, clause( 301, [ =( multiply( inverse( inverse( X ) ), X ), inverse(
% 0.70/1.09 inverse( X ) ) ) ] )
% 0.70/1.09 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.70/1.09 ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 303, [ =( inverse( inverse( X ) ), X ) ] )
% 0.70/1.09 , clause( 302, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 188, [ =( inverse( inverse( X ) ), X ) ] )
% 0.70/1.09 , clause( 303, [ =( inverse( inverse( X ) ), X ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 304, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.70/1.09 , clause( 188, [ =( inverse( inverse( X ) ), X ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 305, [ ~( =( x, inverse( inverse( x ) ) ) ) ] )
% 0.70/1.09 , clause( 14, [ ~( =( inverse( inverse( x ) ), x ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 resolution(
% 0.70/1.09 clause( 306, [] )
% 0.70/1.09 , clause( 305, [ ~( =( x, inverse( inverse( x ) ) ) ) ] )
% 0.70/1.09 , 0, clause( 304, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, x )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 189, [] )
% 0.70/1.09 , clause( 306, [] )
% 0.70/1.09 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 end.
% 0.70/1.09
% 0.70/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.09
% 0.70/1.09 Memory use:
% 0.70/1.09
% 0.70/1.09 space for terms: 2462
% 0.70/1.09 space for clauses: 20606
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 clauses generated: 1174
% 0.70/1.09 clauses kept: 190
% 0.70/1.09 clauses selected: 47
% 0.70/1.09 clauses deleted: 0
% 0.70/1.09 clauses inuse deleted: 0
% 0.70/1.09
% 0.70/1.09 subsentry: 571
% 0.70/1.09 literals s-matched: 325
% 0.70/1.09 literals matched: 325
% 0.70/1.09 full subsumption: 0
% 0.70/1.09
% 0.70/1.09 checksum: -948591130
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Bliksem ended
%------------------------------------------------------------------------------