TSTP Solution File: BOO012-4 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : BOO012-4 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n025.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 0.85s 1.20s
% Output : Refutation 0.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : BOO012-4 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Wed Jun 1 17:36:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.85/1.20 *** allocated 10000 integers for termspace/termends
% 0.85/1.20 *** allocated 10000 integers for clauses
% 0.85/1.20 *** allocated 10000 integers for justifications
% 0.85/1.20 Bliksem 1.12
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 Automatic Strategy Selection
% 0.85/1.20
% 0.85/1.20 Clauses:
% 0.85/1.20 [
% 0.85/1.20 [ =( add( X, Y ), add( Y, X ) ) ],
% 0.85/1.20 [ =( multiply( X, Y ), multiply( Y, X ) ) ],
% 0.85/1.20 [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add( X, Z ) ) )
% 0.85/1.20 ],
% 0.85/1.20 [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ), multiply( X, Z )
% 0.85/1.20 ) ) ],
% 0.85/1.20 [ =( add( X, 'additive_identity' ), X ) ],
% 0.85/1.20 [ =( multiply( X, 'multiplicative_identity' ), X ) ],
% 0.85/1.20 [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ],
% 0.85/1.20 [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ],
% 0.85/1.20 [ ~( =( inverse( inverse( x ) ), x ) ) ]
% 0.85/1.20 ] .
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 percentage equality = 1.000000, percentage horn = 1.000000
% 0.85/1.20 This is a pure equality problem
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 Options Used:
% 0.85/1.20
% 0.85/1.20 useres = 1
% 0.85/1.20 useparamod = 1
% 0.85/1.20 useeqrefl = 1
% 0.85/1.20 useeqfact = 1
% 0.85/1.20 usefactor = 1
% 0.85/1.20 usesimpsplitting = 0
% 0.85/1.20 usesimpdemod = 5
% 0.85/1.20 usesimpres = 3
% 0.85/1.20
% 0.85/1.20 resimpinuse = 1000
% 0.85/1.20 resimpclauses = 20000
% 0.85/1.20 substype = eqrewr
% 0.85/1.20 backwardsubs = 1
% 0.85/1.20 selectoldest = 5
% 0.85/1.20
% 0.85/1.20 litorderings [0] = split
% 0.85/1.20 litorderings [1] = extend the termordering, first sorting on arguments
% 0.85/1.20
% 0.85/1.20 termordering = kbo
% 0.85/1.20
% 0.85/1.20 litapriori = 0
% 0.85/1.20 termapriori = 1
% 0.85/1.20 litaposteriori = 0
% 0.85/1.20 termaposteriori = 0
% 0.85/1.20 demodaposteriori = 0
% 0.85/1.20 ordereqreflfact = 0
% 0.85/1.20
% 0.85/1.20 litselect = negord
% 0.85/1.20
% 0.85/1.20 maxweight = 15
% 0.85/1.20 maxdepth = 30000
% 0.85/1.20 maxlength = 115
% 0.85/1.20 maxnrvars = 195
% 0.85/1.20 excuselevel = 1
% 0.85/1.20 increasemaxweight = 1
% 0.85/1.20
% 0.85/1.20 maxselected = 10000000
% 0.85/1.20 maxnrclauses = 10000000
% 0.85/1.20
% 0.85/1.20 showgenerated = 0
% 0.85/1.20 showkept = 0
% 0.85/1.20 showselected = 0
% 0.85/1.20 showdeleted = 0
% 0.85/1.20 showresimp = 1
% 0.85/1.20 showstatus = 2000
% 0.85/1.20
% 0.85/1.20 prologoutput = 1
% 0.85/1.20 nrgoals = 5000000
% 0.85/1.20 totalproof = 1
% 0.85/1.20
% 0.85/1.20 Symbols occurring in the translation:
% 0.85/1.20
% 0.85/1.20 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.85/1.20 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.85/1.20 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.85/1.20 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.85/1.20 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.85/1.20 add [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.85/1.20 multiply [42, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.85/1.20 'additive_identity' [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.85/1.20 'multiplicative_identity' [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.85/1.20 inverse [46, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.85/1.20 x [47, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 Starting Search:
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 Bliksems!, er is een bewijs:
% 0.85/1.20 % SZS status Unsatisfiable
% 0.85/1.20 % SZS output start Refutation
% 0.85/1.20
% 0.85/1.20 clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.85/1.20 .
% 0.85/1.20 clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.85/1.20 .
% 0.85/1.20 clause( 2, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y,
% 0.85/1.20 Z ) ) ) ] )
% 0.85/1.20 .
% 0.85/1.20 clause( 4, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.85/1.20 .
% 0.85/1.20 clause( 5, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.85/1.20 .
% 0.85/1.20 clause( 6, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.85/1.20 .
% 0.85/1.20 clause( 7, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.85/1.20 .
% 0.85/1.20 clause( 8, [ ~( =( inverse( inverse( x ) ), x ) ) ] )
% 0.85/1.20 .
% 0.85/1.20 clause( 9, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.85/1.20 .
% 0.85/1.20 clause( 12, [ =( multiply( inverse( X ), X ), 'additive_identity' ) ] )
% 0.85/1.20 .
% 0.85/1.20 clause( 13, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.85/1.20 .
% 0.85/1.20 clause( 15, [ =( add( inverse( X ), multiply( X, Y ) ), add( inverse( X ),
% 0.85/1.20 Y ) ) ] )
% 0.85/1.20 .
% 0.85/1.20 clause( 19, [ =( add( X, multiply( inverse( X ), Y ) ), add( X, Y ) ) ] )
% 0.85/1.20 .
% 0.85/1.20 clause( 29, [ =( add( X, inverse( inverse( X ) ) ), X ) ] )
% 0.85/1.20 .
% 0.85/1.20 clause( 66, [ =( add( inverse( inverse( X ) ), X ), inverse( inverse( X ) )
% 0.85/1.20 ) ] )
% 0.85/1.20 .
% 0.85/1.20 clause( 78, [ =( inverse( inverse( X ) ), X ) ] )
% 0.85/1.20 .
% 0.85/1.20 clause( 79, [] )
% 0.85/1.20 .
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 % SZS output end Refutation
% 0.85/1.20 found a proof!
% 0.85/1.20
% 0.85/1.20 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.85/1.20
% 0.85/1.20 initialclauses(
% 0.85/1.20 [ clause( 81, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.85/1.20 , clause( 82, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.85/1.20 , clause( 83, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add(
% 0.85/1.20 X, Z ) ) ) ] )
% 0.85/1.20 , clause( 84, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.85/1.20 multiply( X, Z ) ) ) ] )
% 0.85/1.20 , clause( 85, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.85/1.20 , clause( 86, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.85/1.20 , clause( 87, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.85/1.20 , clause( 88, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.85/1.20 , clause( 89, [ ~( =( inverse( inverse( x ) ), x ) ) ] )
% 0.85/1.20 ] ).
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 subsumption(
% 0.85/1.20 clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.85/1.20 , clause( 81, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.85/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.85/1.20 )] ) ).
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 subsumption(
% 0.85/1.20 clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.85/1.20 , clause( 82, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.85/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.85/1.20 )] ) ).
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 eqswap(
% 0.85/1.20 clause( 90, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y
% 0.85/1.20 , Z ) ) ) ] )
% 0.85/1.20 , clause( 83, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add(
% 0.85/1.20 X, Z ) ) ) ] )
% 0.85/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 subsumption(
% 0.85/1.20 clause( 2, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y,
% 0.85/1.20 Z ) ) ) ] )
% 0.85/1.20 , clause( 90, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply(
% 0.85/1.20 Y, Z ) ) ) ] )
% 0.85/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.85/1.20 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 subsumption(
% 0.85/1.20 clause( 4, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.85/1.20 , clause( 85, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.85/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 subsumption(
% 0.85/1.20 clause( 5, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.85/1.20 , clause( 86, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.85/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 subsumption(
% 0.85/1.20 clause( 6, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.85/1.20 , clause( 87, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.85/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 subsumption(
% 0.85/1.20 clause( 7, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.85/1.20 , clause( 88, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.85/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 subsumption(
% 0.85/1.20 clause( 8, [ ~( =( inverse( inverse( x ) ), x ) ) ] )
% 0.85/1.20 , clause( 89, [ ~( =( inverse( inverse( x ) ), x ) ) ] )
% 0.85/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 eqswap(
% 0.85/1.20 clause( 116, [ =( 'multiplicative_identity', add( X, inverse( X ) ) ) ] )
% 0.85/1.20 , clause( 6, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.85/1.20 , 0, substitution( 0, [ :=( X, X )] )).
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 paramod(
% 0.85/1.20 clause( 117, [ =( 'multiplicative_identity', add( inverse( X ), X ) ) ] )
% 0.85/1.20 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.85/1.20 , 0, clause( 116, [ =( 'multiplicative_identity', add( X, inverse( X ) ) )
% 0.85/1.20 ] )
% 0.85/1.20 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, inverse( X ) )] ),
% 0.85/1.20 substitution( 1, [ :=( X, X )] )).
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 eqswap(
% 0.85/1.20 clause( 120, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.85/1.20 , clause( 117, [ =( 'multiplicative_identity', add( inverse( X ), X ) ) ]
% 0.85/1.20 )
% 0.85/1.20 , 0, substitution( 0, [ :=( X, X )] )).
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 subsumption(
% 0.85/1.20 clause( 9, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.85/1.20 , clause( 120, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ]
% 0.85/1.20 )
% 0.85/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 eqswap(
% 0.85/1.20 clause( 121, [ =( 'additive_identity', multiply( X, inverse( X ) ) ) ] )
% 0.85/1.20 , clause( 7, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.85/1.20 , 0, substitution( 0, [ :=( X, X )] )).
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 paramod(
% 0.85/1.20 clause( 122, [ =( 'additive_identity', multiply( inverse( X ), X ) ) ] )
% 0.85/1.20 , clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.85/1.20 , 0, clause( 121, [ =( 'additive_identity', multiply( X, inverse( X ) ) ) ]
% 0.85/1.20 )
% 0.85/1.20 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, inverse( X ) )] ),
% 0.85/1.20 substitution( 1, [ :=( X, X )] )).
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 eqswap(
% 0.85/1.20 clause( 125, [ =( multiply( inverse( X ), X ), 'additive_identity' ) ] )
% 0.85/1.20 , clause( 122, [ =( 'additive_identity', multiply( inverse( X ), X ) ) ] )
% 0.85/1.20 , 0, substitution( 0, [ :=( X, X )] )).
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 subsumption(
% 0.85/1.20 clause( 12, [ =( multiply( inverse( X ), X ), 'additive_identity' ) ] )
% 0.85/1.20 , clause( 125, [ =( multiply( inverse( X ), X ), 'additive_identity' ) ] )
% 0.85/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 eqswap(
% 0.85/1.20 clause( 126, [ =( X, multiply( X, 'multiplicative_identity' ) ) ] )
% 0.85/1.20 , clause( 5, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.85/1.20 , 0, substitution( 0, [ :=( X, X )] )).
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 paramod(
% 0.85/1.20 clause( 127, [ =( X, multiply( 'multiplicative_identity', X ) ) ] )
% 0.85/1.20 , clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.85/1.20 , 0, clause( 126, [ =( X, multiply( X, 'multiplicative_identity' ) ) ] )
% 0.85/1.20 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'multiplicative_identity' )] )
% 0.85/1.20 , substitution( 1, [ :=( X, X )] )).
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 eqswap(
% 0.85/1.20 clause( 130, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.85/1.20 , clause( 127, [ =( X, multiply( 'multiplicative_identity', X ) ) ] )
% 0.85/1.20 , 0, substitution( 0, [ :=( X, X )] )).
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 subsumption(
% 0.85/1.20 clause( 13, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.85/1.20 , clause( 130, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.85/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 eqswap(
% 0.85/1.20 clause( 132, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add( X
% 0.85/1.20 , Z ) ) ) ] )
% 0.85/1.20 , clause( 2, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y
% 0.85/1.20 , Z ) ) ) ] )
% 0.85/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 paramod(
% 0.85/1.20 clause( 135, [ =( add( inverse( X ), multiply( X, Y ) ), multiply(
% 0.85/1.20 'multiplicative_identity', add( inverse( X ), Y ) ) ) ] )
% 0.85/1.20 , clause( 9, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.85/1.20 , 0, clause( 132, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ),
% 0.85/1.20 add( X, Z ) ) ) ] )
% 0.85/1.20 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.85/1.20 X ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 paramod(
% 0.85/1.20 clause( 137, [ =( add( inverse( X ), multiply( X, Y ) ), add( inverse( X )
% 0.85/1.20 , Y ) ) ] )
% 0.85/1.20 , clause( 13, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.85/1.20 , 0, clause( 135, [ =( add( inverse( X ), multiply( X, Y ) ), multiply(
% 0.85/1.20 'multiplicative_identity', add( inverse( X ), Y ) ) ) ] )
% 0.85/1.20 , 0, 7, substitution( 0, [ :=( X, add( inverse( X ), Y ) )] ),
% 0.85/1.20 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 subsumption(
% 0.85/1.20 clause( 15, [ =( add( inverse( X ), multiply( X, Y ) ), add( inverse( X ),
% 0.85/1.20 Y ) ) ] )
% 0.85/1.20 , clause( 137, [ =( add( inverse( X ), multiply( X, Y ) ), add( inverse( X
% 0.85/1.20 ), Y ) ) ] )
% 0.85/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.85/1.20 )] ) ).
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 eqswap(
% 0.85/1.20 clause( 140, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add( X
% 0.85/1.20 , Z ) ) ) ] )
% 0.85/1.20 , clause( 2, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y
% 0.85/1.20 , Z ) ) ) ] )
% 0.85/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 paramod(
% 0.85/1.20 clause( 142, [ =( add( X, multiply( inverse( X ), Y ) ), multiply(
% 0.85/1.20 'multiplicative_identity', add( X, Y ) ) ) ] )
% 0.85/1.20 , clause( 6, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.85/1.20 , 0, clause( 140, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ),
% 0.85/1.20 add( X, Z ) ) ) ] )
% 0.85/1.20 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.85/1.20 :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 paramod(
% 0.85/1.20 clause( 144, [ =( add( X, multiply( inverse( X ), Y ) ), add( X, Y ) ) ] )
% 0.85/1.20 , clause( 13, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.85/1.20 , 0, clause( 142, [ =( add( X, multiply( inverse( X ), Y ) ), multiply(
% 0.85/1.20 'multiplicative_identity', add( X, Y ) ) ) ] )
% 0.85/1.20 , 0, 7, substitution( 0, [ :=( X, add( X, Y ) )] ), substitution( 1, [ :=(
% 0.85/1.20 X, X ), :=( Y, Y )] )).
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 subsumption(
% 0.85/1.20 clause( 19, [ =( add( X, multiply( inverse( X ), Y ) ), add( X, Y ) ) ] )
% 0.85/1.20 , clause( 144, [ =( add( X, multiply( inverse( X ), Y ) ), add( X, Y ) ) ]
% 0.85/1.20 )
% 0.85/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.85/1.20 )] ) ).
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 eqswap(
% 0.85/1.20 clause( 147, [ =( add( X, Y ), add( X, multiply( inverse( X ), Y ) ) ) ] )
% 0.85/1.20 , clause( 19, [ =( add( X, multiply( inverse( X ), Y ) ), add( X, Y ) ) ]
% 0.85/1.20 )
% 0.85/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 paramod(
% 0.85/1.20 clause( 149, [ =( add( X, inverse( inverse( X ) ) ), add( X,
% 0.85/1.20 'additive_identity' ) ) ] )
% 0.85/1.20 , clause( 7, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.85/1.20 , 0, clause( 147, [ =( add( X, Y ), add( X, multiply( inverse( X ), Y ) ) )
% 0.85/1.20 ] )
% 0.85/1.20 , 0, 8, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.85/1.20 :=( X, X ), :=( Y, inverse( inverse( X ) ) )] )).
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 paramod(
% 0.85/1.20 clause( 150, [ =( add( X, inverse( inverse( X ) ) ), X ) ] )
% 0.85/1.20 , clause( 4, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.85/1.20 , 0, clause( 149, [ =( add( X, inverse( inverse( X ) ) ), add( X,
% 0.85/1.20 'additive_identity' ) ) ] )
% 0.85/1.20 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.85/1.20 ).
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 subsumption(
% 0.85/1.20 clause( 29, [ =( add( X, inverse( inverse( X ) ) ), X ) ] )
% 0.85/1.20 , clause( 150, [ =( add( X, inverse( inverse( X ) ) ), X ) ] )
% 0.85/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 eqswap(
% 0.85/1.20 clause( 153, [ =( add( inverse( X ), Y ), add( inverse( X ), multiply( X, Y
% 0.85/1.20 ) ) ) ] )
% 0.85/1.20 , clause( 15, [ =( add( inverse( X ), multiply( X, Y ) ), add( inverse( X )
% 0.85/1.20 , Y ) ) ] )
% 0.85/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 paramod(
% 0.85/1.20 clause( 155, [ =( add( inverse( inverse( X ) ), X ), add( inverse( inverse(
% 0.85/1.20 X ) ), 'additive_identity' ) ) ] )
% 0.85/1.20 , clause( 12, [ =( multiply( inverse( X ), X ), 'additive_identity' ) ] )
% 0.85/1.20 , 0, clause( 153, [ =( add( inverse( X ), Y ), add( inverse( X ), multiply(
% 0.85/1.20 X, Y ) ) ) ] )
% 0.85/1.20 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.85/1.20 inverse( X ) ), :=( Y, X )] )).
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 paramod(
% 0.85/1.20 clause( 156, [ =( add( inverse( inverse( X ) ), X ), inverse( inverse( X )
% 0.85/1.20 ) ) ] )
% 0.85/1.20 , clause( 4, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.85/1.20 , 0, clause( 155, [ =( add( inverse( inverse( X ) ), X ), add( inverse(
% 0.85/1.20 inverse( X ) ), 'additive_identity' ) ) ] )
% 0.85/1.20 , 0, 6, substitution( 0, [ :=( X, inverse( inverse( X ) ) )] ),
% 0.85/1.20 substitution( 1, [ :=( X, X )] )).
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 subsumption(
% 0.85/1.20 clause( 66, [ =( add( inverse( inverse( X ) ), X ), inverse( inverse( X ) )
% 0.85/1.20 ) ] )
% 0.85/1.20 , clause( 156, [ =( add( inverse( inverse( X ) ), X ), inverse( inverse( X
% 0.85/1.20 ) ) ) ] )
% 0.85/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 eqswap(
% 0.85/1.20 clause( 158, [ =( X, add( X, inverse( inverse( X ) ) ) ) ] )
% 0.85/1.20 , clause( 29, [ =( add( X, inverse( inverse( X ) ) ), X ) ] )
% 0.85/1.20 , 0, substitution( 0, [ :=( X, X )] )).
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 paramod(
% 0.85/1.20 clause( 160, [ =( X, add( inverse( inverse( X ) ), X ) ) ] )
% 0.85/1.20 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.85/1.20 , 0, clause( 158, [ =( X, add( X, inverse( inverse( X ) ) ) ) ] )
% 0.85/1.20 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, inverse( inverse( X ) ) )] )
% 0.85/1.20 , substitution( 1, [ :=( X, X )] )).
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 paramod(
% 0.85/1.20 clause( 162, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.85/1.20 , clause( 66, [ =( add( inverse( inverse( X ) ), X ), inverse( inverse( X )
% 0.85/1.20 ) ) ] )
% 0.85/1.20 , 0, clause( 160, [ =( X, add( inverse( inverse( X ) ), X ) ) ] )
% 0.85/1.20 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.85/1.20 ).
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 eqswap(
% 0.85/1.20 clause( 163, [ =( inverse( inverse( X ) ), X ) ] )
% 0.85/1.20 , clause( 162, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.85/1.20 , 0, substitution( 0, [ :=( X, X )] )).
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 subsumption(
% 0.85/1.20 clause( 78, [ =( inverse( inverse( X ) ), X ) ] )
% 0.85/1.20 , clause( 163, [ =( inverse( inverse( X ) ), X ) ] )
% 0.85/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 eqswap(
% 0.85/1.20 clause( 164, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.85/1.20 , clause( 78, [ =( inverse( inverse( X ) ), X ) ] )
% 0.85/1.20 , 0, substitution( 0, [ :=( X, X )] )).
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 eqswap(
% 0.85/1.20 clause( 165, [ ~( =( x, inverse( inverse( x ) ) ) ) ] )
% 0.85/1.20 , clause( 8, [ ~( =( inverse( inverse( x ) ), x ) ) ] )
% 0.85/1.20 , 0, substitution( 0, [] )).
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 resolution(
% 0.85/1.20 clause( 166, [] )
% 0.85/1.20 , clause( 165, [ ~( =( x, inverse( inverse( x ) ) ) ) ] )
% 0.85/1.20 , 0, clause( 164, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.85/1.20 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, x )] )).
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 subsumption(
% 0.85/1.20 clause( 79, [] )
% 0.85/1.20 , clause( 166, [] )
% 0.85/1.20 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 end.
% 0.85/1.20
% 0.85/1.20 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.85/1.20
% 0.85/1.20 Memory use:
% 0.85/1.20
% 0.85/1.20 space for terms: 995
% 0.85/1.20 space for clauses: 8447
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 clauses generated: 440
% 0.85/1.20 clauses kept: 80
% 0.85/1.20 clauses selected: 29
% 0.85/1.20 clauses deleted: 1
% 0.85/1.20 clauses inuse deleted: 0
% 0.85/1.20
% 0.85/1.20 subsentry: 332
% 0.85/1.20 literals s-matched: 170
% 0.85/1.20 literals matched: 170
% 0.85/1.20 full subsumption: 0
% 0.85/1.20
% 0.85/1.20 checksum: -2068379749
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 Bliksem ended
%------------------------------------------------------------------------------