TSTP Solution File: BOO010-4 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : BOO010-4 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n024.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 23:30:37 EDT 2022
% Result : Unsatisfiable 0.44s 1.07s
% Output : Refutation 0.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : BOO010-4 : TPTP v8.1.0. Released v1.1.0.
% 0.10/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Thu Jun 2 00:20:36 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.44/1.07 *** allocated 10000 integers for termspace/termends
% 0.44/1.07 *** allocated 10000 integers for clauses
% 0.44/1.07 *** allocated 10000 integers for justifications
% 0.44/1.07 Bliksem 1.12
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 Automatic Strategy Selection
% 0.44/1.07
% 0.44/1.07 Clauses:
% 0.44/1.07 [
% 0.44/1.07 [ =( add( X, Y ), add( Y, X ) ) ],
% 0.44/1.07 [ =( multiply( X, Y ), multiply( Y, X ) ) ],
% 0.44/1.07 [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add( X, Z ) ) )
% 0.44/1.07 ],
% 0.44/1.07 [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ), multiply( X, Z )
% 0.44/1.07 ) ) ],
% 0.44/1.07 [ =( add( X, 'additive_identity' ), X ) ],
% 0.44/1.07 [ =( multiply( X, 'multiplicative_identity' ), X ) ],
% 0.44/1.07 [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ],
% 0.44/1.07 [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ],
% 0.44/1.07 [ ~( =( add( a, multiply( a, b ) ), a ) ) ]
% 0.44/1.07 ] .
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 percentage equality = 1.000000, percentage horn = 1.000000
% 0.44/1.07 This is a pure equality problem
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 Options Used:
% 0.44/1.07
% 0.44/1.07 useres = 1
% 0.44/1.07 useparamod = 1
% 0.44/1.07 useeqrefl = 1
% 0.44/1.07 useeqfact = 1
% 0.44/1.07 usefactor = 1
% 0.44/1.07 usesimpsplitting = 0
% 0.44/1.07 usesimpdemod = 5
% 0.44/1.07 usesimpres = 3
% 0.44/1.07
% 0.44/1.07 resimpinuse = 1000
% 0.44/1.07 resimpclauses = 20000
% 0.44/1.07 substype = eqrewr
% 0.44/1.07 backwardsubs = 1
% 0.44/1.07 selectoldest = 5
% 0.44/1.07
% 0.44/1.07 litorderings [0] = split
% 0.44/1.07 litorderings [1] = extend the termordering, first sorting on arguments
% 0.44/1.07
% 0.44/1.07 termordering = kbo
% 0.44/1.07
% 0.44/1.07 litapriori = 0
% 0.44/1.07 termapriori = 1
% 0.44/1.07 litaposteriori = 0
% 0.44/1.07 termaposteriori = 0
% 0.44/1.07 demodaposteriori = 0
% 0.44/1.07 ordereqreflfact = 0
% 0.44/1.07
% 0.44/1.07 litselect = negord
% 0.44/1.07
% 0.44/1.07 maxweight = 15
% 0.44/1.07 maxdepth = 30000
% 0.44/1.07 maxlength = 115
% 0.44/1.07 maxnrvars = 195
% 0.44/1.07 excuselevel = 1
% 0.44/1.07 increasemaxweight = 1
% 0.44/1.07
% 0.44/1.07 maxselected = 10000000
% 0.44/1.07 maxnrclauses = 10000000
% 0.44/1.07
% 0.44/1.07 showgenerated = 0
% 0.44/1.07 showkept = 0
% 0.44/1.07 showselected = 0
% 0.44/1.07 showdeleted = 0
% 0.44/1.07 showresimp = 1
% 0.44/1.07 showstatus = 2000
% 0.44/1.07
% 0.44/1.07 prologoutput = 1
% 0.44/1.07 nrgoals = 5000000
% 0.44/1.07 totalproof = 1
% 0.44/1.07
% 0.44/1.07 Symbols occurring in the translation:
% 0.44/1.07
% 0.44/1.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.44/1.07 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.44/1.07 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.44/1.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.07 add [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.44/1.07 multiply [42, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.44/1.07 'additive_identity' [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.44/1.07 'multiplicative_identity' [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.44/1.07 inverse [46, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.44/1.07 a [47, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.44/1.07 b [48, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 Starting Search:
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 Bliksems!, er is een bewijs:
% 0.44/1.07 % SZS status Unsatisfiable
% 0.44/1.07 % SZS output start Refutation
% 0.44/1.07
% 0.44/1.07 clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 2, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y,
% 0.44/1.07 Z ) ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 3, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X, add(
% 0.44/1.07 Y, Z ) ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 4, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 5, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 6, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 7, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 8, [ ~( =( add( a, multiply( a, b ) ), a ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 11, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 12, [ =( add( 'additive_identity', X ), X ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 15, [ =( multiply( add( Y, X ), add( X, Z ) ), add( X, multiply( Y
% 0.44/1.07 , Z ) ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 36, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y ) )
% 0.44/1.07 ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 42, [ =( multiply( X, X ), X ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 46, [ =( multiply( X, 'additive_identity' ), 'additive_identity' )
% 0.44/1.07 ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 47, [ =( multiply( X, add( X, Y ) ), add( X, multiply( X, Y ) ) ) ]
% 0.44/1.07 )
% 0.44/1.07 .
% 0.44/1.07 clause( 51, [ =( multiply( add( Y, X ), X ), X ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 56, [ =( multiply( add( Y, X ), Y ), Y ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 65, [ =( add( X, multiply( X, Y ) ), X ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 66, [] )
% 0.44/1.07 .
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 % SZS output end Refutation
% 0.44/1.07 found a proof!
% 0.44/1.07
% 0.44/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.44/1.07
% 0.44/1.07 initialclauses(
% 0.44/1.07 [ clause( 68, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.44/1.07 , clause( 69, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.44/1.07 , clause( 70, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add(
% 0.44/1.07 X, Z ) ) ) ] )
% 0.44/1.07 , clause( 71, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.44/1.07 multiply( X, Z ) ) ) ] )
% 0.44/1.07 , clause( 72, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.44/1.07 , clause( 73, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.44/1.07 , clause( 74, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.44/1.07 , clause( 75, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.44/1.07 , clause( 76, [ ~( =( add( a, multiply( a, b ) ), a ) ) ] )
% 0.44/1.07 ] ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 subsumption(
% 0.44/1.07 clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.44/1.07 , clause( 68, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.44/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.44/1.07 )] ) ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 subsumption(
% 0.44/1.07 clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.44/1.07 , clause( 69, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.44/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.44/1.07 )] ) ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 eqswap(
% 0.44/1.07 clause( 77, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y
% 0.44/1.07 , Z ) ) ) ] )
% 0.44/1.07 , clause( 70, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add(
% 0.44/1.07 X, Z ) ) ) ] )
% 0.44/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 subsumption(
% 0.44/1.07 clause( 2, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y,
% 0.44/1.07 Z ) ) ) ] )
% 0.44/1.07 , clause( 77, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply(
% 0.44/1.07 Y, Z ) ) ) ] )
% 0.44/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.44/1.07 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 eqswap(
% 0.44/1.07 clause( 79, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.44/1.07 add( Y, Z ) ) ) ] )
% 0.44/1.07 , clause( 71, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.44/1.07 multiply( X, Z ) ) ) ] )
% 0.44/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 subsumption(
% 0.44/1.07 clause( 3, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X, add(
% 0.44/1.07 Y, Z ) ) ) ] )
% 0.44/1.07 , clause( 79, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.44/1.07 add( Y, Z ) ) ) ] )
% 0.44/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.44/1.07 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 subsumption(
% 0.44/1.07 clause( 4, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.44/1.07 , clause( 72, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.44/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 subsumption(
% 0.44/1.07 clause( 5, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.44/1.07 , clause( 73, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.44/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 subsumption(
% 0.44/1.07 clause( 6, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.44/1.07 , clause( 74, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.44/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 subsumption(
% 0.44/1.07 clause( 7, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.44/1.07 , clause( 75, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.44/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 subsumption(
% 0.44/1.07 clause( 8, [ ~( =( add( a, multiply( a, b ) ), a ) ) ] )
% 0.44/1.07 , clause( 76, [ ~( =( add( a, multiply( a, b ) ), a ) ) ] )
% 0.44/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 105, [ =( 'multiplicative_identity', add( X, inverse( X ) ) ) ] )
% 0.44/1.08 , clause( 6, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 106, [ =( 'multiplicative_identity', add( inverse( X ), X ) ) ] )
% 0.44/1.08 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.44/1.08 , 0, clause( 105, [ =( 'multiplicative_identity', add( X, inverse( X ) ) )
% 0.44/1.08 ] )
% 0.44/1.08 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, inverse( X ) )] ),
% 0.44/1.08 substitution( 1, [ :=( X, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 109, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.44/1.08 , clause( 106, [ =( 'multiplicative_identity', add( inverse( X ), X ) ) ]
% 0.44/1.08 )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 11, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.44/1.08 , clause( 109, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ]
% 0.44/1.08 )
% 0.44/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 110, [ =( X, add( X, 'additive_identity' ) ) ] )
% 0.44/1.08 , clause( 4, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 111, [ =( X, add( 'additive_identity', X ) ) ] )
% 0.44/1.08 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.44/1.08 , 0, clause( 110, [ =( X, add( X, 'additive_identity' ) ) ] )
% 0.44/1.08 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'additive_identity' )] ),
% 0.44/1.08 substitution( 1, [ :=( X, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 114, [ =( add( 'additive_identity', X ), X ) ] )
% 0.44/1.08 , clause( 111, [ =( X, add( 'additive_identity', X ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 12, [ =( add( 'additive_identity', X ), X ) ] )
% 0.44/1.08 , clause( 114, [ =( add( 'additive_identity', X ), X ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 115, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add( X
% 0.44/1.08 , Z ) ) ) ] )
% 0.44/1.08 , clause( 2, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y
% 0.44/1.08 , Z ) ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 117, [ =( add( X, multiply( Y, Z ) ), multiply( add( Y, X ), add( X
% 0.44/1.08 , Z ) ) ) ] )
% 0.44/1.08 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.44/1.08 , 0, clause( 115, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ),
% 0.44/1.08 add( X, Z ) ) ) ] )
% 0.44/1.08 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.44/1.08 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 125, [ =( multiply( add( Y, X ), add( X, Z ) ), add( X, multiply( Y
% 0.44/1.08 , Z ) ) ) ] )
% 0.44/1.08 , clause( 117, [ =( add( X, multiply( Y, Z ) ), multiply( add( Y, X ), add(
% 0.44/1.08 X, Z ) ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 15, [ =( multiply( add( Y, X ), add( X, Z ) ), add( X, multiply( Y
% 0.44/1.08 , Z ) ) ) ] )
% 0.44/1.08 , clause( 125, [ =( multiply( add( Y, X ), add( X, Z ) ), add( X, multiply(
% 0.44/1.08 Y, Z ) ) ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.44/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 133, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.44/1.08 multiply( X, Z ) ) ) ] )
% 0.44/1.08 , clause( 3, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.44/1.08 add( Y, Z ) ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 135, [ =( multiply( X, add( inverse( X ), Y ) ), add(
% 0.44/1.08 'additive_identity', multiply( X, Y ) ) ) ] )
% 0.44/1.08 , clause( 7, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.44/1.08 , 0, clause( 133, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.44/1.08 multiply( X, Z ) ) ) ] )
% 0.44/1.08 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.44/1.08 :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 137, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y ) )
% 0.44/1.08 ] )
% 0.44/1.08 , clause( 12, [ =( add( 'additive_identity', X ), X ) ] )
% 0.44/1.08 , 0, clause( 135, [ =( multiply( X, add( inverse( X ), Y ) ), add(
% 0.44/1.08 'additive_identity', multiply( X, Y ) ) ) ] )
% 0.44/1.08 , 0, 7, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 0.44/1.08 :=( X, X ), :=( Y, Y )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 36, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y ) )
% 0.44/1.08 ] )
% 0.44/1.08 , clause( 137, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y )
% 0.44/1.08 ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.44/1.08 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 140, [ =( multiply( X, Y ), multiply( X, add( inverse( X ), Y ) ) )
% 0.44/1.08 ] )
% 0.44/1.08 , clause( 36, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y )
% 0.44/1.08 ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 142, [ =( multiply( X, X ), multiply( X, 'multiplicative_identity'
% 0.44/1.08 ) ) ] )
% 0.44/1.08 , clause( 11, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.44/1.08 , 0, clause( 140, [ =( multiply( X, Y ), multiply( X, add( inverse( X ), Y
% 0.44/1.08 ) ) ) ] )
% 0.44/1.08 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.44/1.08 :=( Y, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 143, [ =( multiply( X, X ), X ) ] )
% 0.44/1.08 , clause( 5, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.44/1.08 , 0, clause( 142, [ =( multiply( X, X ), multiply( X,
% 0.44/1.08 'multiplicative_identity' ) ) ] )
% 0.44/1.08 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.44/1.08 ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 42, [ =( multiply( X, X ), X ) ] )
% 0.44/1.08 , clause( 143, [ =( multiply( X, X ), X ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 146, [ =( multiply( X, Y ), multiply( X, add( inverse( X ), Y ) ) )
% 0.44/1.08 ] )
% 0.44/1.08 , clause( 36, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y )
% 0.44/1.08 ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 148, [ =( multiply( X, 'additive_identity' ), multiply( X, inverse(
% 0.44/1.08 X ) ) ) ] )
% 0.44/1.08 , clause( 4, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.44/1.08 , 0, clause( 146, [ =( multiply( X, Y ), multiply( X, add( inverse( X ), Y
% 0.44/1.08 ) ) ) ] )
% 0.44/1.08 , 0, 6, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.44/1.08 :=( X, X ), :=( Y, 'additive_identity' )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 149, [ =( multiply( X, 'additive_identity' ), 'additive_identity' )
% 0.44/1.08 ] )
% 0.44/1.08 , clause( 7, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.44/1.08 , 0, clause( 148, [ =( multiply( X, 'additive_identity' ), multiply( X,
% 0.44/1.08 inverse( X ) ) ) ] )
% 0.44/1.08 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.44/1.08 ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 46, [ =( multiply( X, 'additive_identity' ), 'additive_identity' )
% 0.44/1.08 ] )
% 0.44/1.08 , clause( 149, [ =( multiply( X, 'additive_identity' ), 'additive_identity'
% 0.44/1.08 ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 152, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.44/1.08 multiply( X, Z ) ) ) ] )
% 0.44/1.08 , clause( 3, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.44/1.08 add( Y, Z ) ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 154, [ =( multiply( X, add( X, Y ) ), add( X, multiply( X, Y ) ) )
% 0.44/1.08 ] )
% 0.44/1.08 , clause( 42, [ =( multiply( X, X ), X ) ] )
% 0.44/1.08 , 0, clause( 152, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.44/1.08 multiply( X, Z ) ) ) ] )
% 0.44/1.08 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.44/1.08 :=( Y, X ), :=( Z, Y )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 47, [ =( multiply( X, add( X, Y ) ), add( X, multiply( X, Y ) ) ) ]
% 0.44/1.08 )
% 0.44/1.08 , clause( 154, [ =( multiply( X, add( X, Y ) ), add( X, multiply( X, Y ) )
% 0.44/1.08 ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.44/1.08 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 160, [ =( add( Y, multiply( X, Z ) ), multiply( add( X, Y ), add( Y
% 0.44/1.08 , Z ) ) ) ] )
% 0.44/1.08 , clause( 15, [ =( multiply( add( Y, X ), add( X, Z ) ), add( X, multiply(
% 0.44/1.08 Y, Z ) ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 164, [ =( add( X, multiply( Y, 'additive_identity' ) ), multiply(
% 0.44/1.08 add( Y, X ), X ) ) ] )
% 0.44/1.08 , clause( 4, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.44/1.08 , 0, clause( 160, [ =( add( Y, multiply( X, Z ) ), multiply( add( X, Y ),
% 0.44/1.08 add( Y, Z ) ) ) ] )
% 0.44/1.08 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 0.44/1.08 :=( Y, X ), :=( Z, 'additive_identity' )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 165, [ =( add( X, 'additive_identity' ), multiply( add( Y, X ), X )
% 0.44/1.08 ) ] )
% 0.44/1.08 , clause( 46, [ =( multiply( X, 'additive_identity' ), 'additive_identity'
% 0.44/1.08 ) ] )
% 0.44/1.08 , 0, clause( 164, [ =( add( X, multiply( Y, 'additive_identity' ) ),
% 0.44/1.08 multiply( add( Y, X ), X ) ) ] )
% 0.44/1.08 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.44/1.08 :=( Y, Y )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 166, [ =( X, multiply( add( Y, X ), X ) ) ] )
% 0.44/1.08 , clause( 4, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.44/1.08 , 0, clause( 165, [ =( add( X, 'additive_identity' ), multiply( add( Y, X )
% 0.44/1.08 , X ) ) ] )
% 0.44/1.08 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.44/1.08 :=( Y, Y )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 167, [ =( multiply( add( Y, X ), X ), X ) ] )
% 0.44/1.08 , clause( 166, [ =( X, multiply( add( Y, X ), X ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 51, [ =( multiply( add( Y, X ), X ), X ) ] )
% 0.44/1.08 , clause( 167, [ =( multiply( add( Y, X ), X ), X ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.44/1.08 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 168, [ =( Y, multiply( add( X, Y ), Y ) ) ] )
% 0.44/1.08 , clause( 51, [ =( multiply( add( Y, X ), X ), X ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 169, [ =( X, multiply( add( X, Y ), X ) ) ] )
% 0.44/1.08 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.44/1.08 , 0, clause( 168, [ =( Y, multiply( add( X, Y ), Y ) ) ] )
% 0.44/1.08 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.44/1.08 :=( X, Y ), :=( Y, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 172, [ =( multiply( add( X, Y ), X ), X ) ] )
% 0.44/1.08 , clause( 169, [ =( X, multiply( add( X, Y ), X ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 56, [ =( multiply( add( Y, X ), Y ), Y ) ] )
% 0.44/1.08 , clause( 172, [ =( multiply( add( X, Y ), X ), X ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.44/1.08 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 173, [ =( X, multiply( add( X, Y ), X ) ) ] )
% 0.44/1.08 , clause( 56, [ =( multiply( add( Y, X ), Y ), Y ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 175, [ =( X, multiply( X, add( X, Y ) ) ) ] )
% 0.44/1.08 , clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.44/1.08 , 0, clause( 173, [ =( X, multiply( add( X, Y ), X ) ) ] )
% 0.44/1.08 , 0, 2, substitution( 0, [ :=( X, add( X, Y ) ), :=( Y, X )] ),
% 0.44/1.08 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 177, [ =( X, add( X, multiply( X, Y ) ) ) ] )
% 0.44/1.08 , clause( 47, [ =( multiply( X, add( X, Y ) ), add( X, multiply( X, Y ) ) )
% 0.44/1.08 ] )
% 0.44/1.08 , 0, clause( 175, [ =( X, multiply( X, add( X, Y ) ) ) ] )
% 0.44/1.08 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.44/1.08 :=( X, X ), :=( Y, Y )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 178, [ =( add( X, multiply( X, Y ) ), X ) ] )
% 0.44/1.08 , clause( 177, [ =( X, add( X, multiply( X, Y ) ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 65, [ =( add( X, multiply( X, Y ) ), X ) ] )
% 0.44/1.08 , clause( 178, [ =( add( X, multiply( X, Y ) ), X ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.44/1.08 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 179, [ =( X, add( X, multiply( X, Y ) ) ) ] )
% 0.44/1.08 , clause( 65, [ =( add( X, multiply( X, Y ) ), X ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 180, [ ~( =( a, add( a, multiply( a, b ) ) ) ) ] )
% 0.44/1.08 , clause( 8, [ ~( =( add( a, multiply( a, b ) ), a ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 resolution(
% 0.44/1.08 clause( 181, [] )
% 0.44/1.08 , clause( 180, [ ~( =( a, add( a, multiply( a, b ) ) ) ) ] )
% 0.44/1.08 , 0, clause( 179, [ =( X, add( X, multiply( X, Y ) ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b )] )
% 0.44/1.08 ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 66, [] )
% 0.44/1.08 , clause( 181, [] )
% 0.44/1.08 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 end.
% 0.44/1.08
% 0.44/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.44/1.08
% 0.44/1.08 Memory use:
% 0.44/1.08
% 0.44/1.08 space for terms: 843
% 0.44/1.08 space for clauses: 6859
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 clauses generated: 358
% 0.44/1.08 clauses kept: 67
% 0.44/1.08 clauses selected: 29
% 0.44/1.08 clauses deleted: 0
% 0.44/1.08 clauses inuse deleted: 0
% 0.44/1.08
% 0.44/1.08 subsentry: 651
% 0.44/1.08 literals s-matched: 302
% 0.44/1.08 literals matched: 228
% 0.44/1.08 full subsumption: 0
% 0.44/1.08
% 0.44/1.08 checksum: 1916454891
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 Bliksem ended
%------------------------------------------------------------------------------