TSTP Solution File: BOO004-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : BOO004-2 : TPTP v8.1.0. Released v1.0.0.
% 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 23:30:34 EDT 2022
% Result : Unsatisfiable 0.74s 1.13s
% Output : Refutation 0.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : BOO004-2 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.14 % Command : bliksem %s
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Wed Jun 1 22:24:29 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.74/1.13 *** allocated 10000 integers for termspace/termends
% 0.74/1.13 *** allocated 10000 integers for clauses
% 0.74/1.13 *** allocated 10000 integers for justifications
% 0.74/1.13 Bliksem 1.12
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 Automatic Strategy Selection
% 0.74/1.13
% 0.74/1.13 Clauses:
% 0.74/1.13 [
% 0.74/1.13 [ =( add( X, Y ), add( Y, X ) ) ],
% 0.74/1.13 [ =( multiply( X, Y ), multiply( Y, X ) ) ],
% 0.74/1.13 [ =( add( multiply( X, Y ), Z ), multiply( add( X, Z ), add( Y, Z ) ) )
% 0.74/1.13 ],
% 0.74/1.13 [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add( X, Z ) ) )
% 0.74/1.13 ],
% 0.74/1.13 [ =( multiply( add( X, Y ), Z ), add( multiply( X, Z ), multiply( Y, Z )
% 0.74/1.13 ) ) ],
% 0.74/1.13 [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ), multiply( X, Z )
% 0.74/1.13 ) ) ],
% 0.74/1.13 [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ],
% 0.74/1.13 [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ],
% 0.74/1.13 [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ],
% 0.74/1.13 [ =( multiply( inverse( X ), X ), 'additive_identity' ) ],
% 0.74/1.13 [ =( multiply( X, 'multiplicative_identity' ), X ) ],
% 0.74/1.13 [ =( multiply( 'multiplicative_identity', X ), X ) ],
% 0.74/1.13 [ =( add( X, 'additive_identity' ), X ) ],
% 0.74/1.13 [ =( add( 'additive_identity', X ), X ) ],
% 0.74/1.13 [ ~( =( add( a, a ), a ) ) ]
% 0.74/1.13 ] .
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 percentage equality = 1.000000, percentage horn = 1.000000
% 0.74/1.13 This is a pure equality problem
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 Options Used:
% 0.74/1.13
% 0.74/1.13 useres = 1
% 0.74/1.13 useparamod = 1
% 0.74/1.13 useeqrefl = 1
% 0.74/1.13 useeqfact = 1
% 0.74/1.13 usefactor = 1
% 0.74/1.13 usesimpsplitting = 0
% 0.74/1.13 usesimpdemod = 5
% 0.74/1.13 usesimpres = 3
% 0.74/1.13
% 0.74/1.13 resimpinuse = 1000
% 0.74/1.13 resimpclauses = 20000
% 0.74/1.13 substype = eqrewr
% 0.74/1.13 backwardsubs = 1
% 0.74/1.13 selectoldest = 5
% 0.74/1.13
% 0.74/1.13 litorderings [0] = split
% 0.74/1.13 litorderings [1] = extend the termordering, first sorting on arguments
% 0.74/1.13
% 0.74/1.13 termordering = kbo
% 0.74/1.13
% 0.74/1.13 litapriori = 0
% 0.74/1.13 termapriori = 1
% 0.74/1.13 litaposteriori = 0
% 0.74/1.13 termaposteriori = 0
% 0.74/1.13 demodaposteriori = 0
% 0.74/1.13 ordereqreflfact = 0
% 0.74/1.13
% 0.74/1.13 litselect = negord
% 0.74/1.13
% 0.74/1.13 maxweight = 15
% 0.74/1.13 maxdepth = 30000
% 0.74/1.13 maxlength = 115
% 0.74/1.13 maxnrvars = 195
% 0.74/1.13 excuselevel = 1
% 0.74/1.13 increasemaxweight = 1
% 0.74/1.13
% 0.74/1.13 maxselected = 10000000
% 0.74/1.13 maxnrclauses = 10000000
% 0.74/1.13
% 0.74/1.13 showgenerated = 0
% 0.74/1.13 showkept = 0
% 0.74/1.13 showselected = 0
% 0.74/1.13 showdeleted = 0
% 0.74/1.13 showresimp = 1
% 0.74/1.13 showstatus = 2000
% 0.74/1.13
% 0.74/1.13 prologoutput = 1
% 0.74/1.13 nrgoals = 5000000
% 0.74/1.13 totalproof = 1
% 0.74/1.13
% 0.74/1.13 Symbols occurring in the translation:
% 0.74/1.13
% 0.74/1.13 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.74/1.13 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.74/1.13 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.74/1.13 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.13 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.13 add [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.74/1.13 multiply [42, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.74/1.13 inverse [44, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.74/1.13 'multiplicative_identity' [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.74/1.13 'additive_identity' [46, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.74/1.13 a [47, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 Starting Search:
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 Bliksems!, er is een bewijs:
% 0.74/1.13 % SZS status Unsatisfiable
% 0.74/1.13 % SZS output start Refutation
% 0.74/1.13
% 0.74/1.13 clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.74/1.13 .
% 0.74/1.13 clause( 3, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y,
% 0.74/1.13 Z ) ) ) ] )
% 0.74/1.13 .
% 0.74/1.13 clause( 5, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X, add(
% 0.74/1.13 Y, Z ) ) ) ] )
% 0.74/1.13 .
% 0.74/1.13 clause( 7, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.74/1.13 .
% 0.74/1.13 clause( 8, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.74/1.13 .
% 0.74/1.13 clause( 10, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.74/1.13 .
% 0.74/1.13 clause( 12, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.74/1.13 .
% 0.74/1.13 clause( 13, [ =( add( 'additive_identity', X ), X ) ] )
% 0.74/1.13 .
% 0.74/1.13 clause( 14, [ ~( =( add( a, a ), a ) ) ] )
% 0.74/1.13 .
% 0.74/1.13 clause( 19, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y ) )
% 0.74/1.13 ] )
% 0.74/1.13 .
% 0.74/1.13 clause( 31, [ =( multiply( X, X ), X ) ] )
% 0.74/1.13 .
% 0.74/1.13 clause( 32, [ =( multiply( X, 'additive_identity' ), 'additive_identity' )
% 0.74/1.13 ] )
% 0.74/1.13 .
% 0.74/1.13 clause( 47, [ =( multiply( X, add( X, Y ) ), add( X, multiply( X, Y ) ) ) ]
% 0.74/1.13 )
% 0.74/1.13 .
% 0.74/1.13 clause( 49, [ =( multiply( 'additive_identity', X ), 'additive_identity' )
% 0.74/1.13 ] )
% 0.74/1.13 .
% 0.74/1.13 clause( 65, [ =( add( X, multiply( X, Y ) ), X ) ] )
% 0.74/1.13 .
% 0.74/1.13 clause( 72, [ =( add( X, X ), X ) ] )
% 0.74/1.13 .
% 0.74/1.13 clause( 78, [] )
% 0.74/1.13 .
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 % SZS output end Refutation
% 0.74/1.13 found a proof!
% 0.74/1.13
% 0.74/1.13 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.13
% 0.74/1.13 initialclauses(
% 0.74/1.13 [ clause( 80, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.74/1.13 , clause( 81, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.74/1.13 , clause( 82, [ =( add( multiply( X, Y ), Z ), multiply( add( X, Z ), add(
% 0.74/1.13 Y, Z ) ) ) ] )
% 0.74/1.13 , clause( 83, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add(
% 0.74/1.13 X, Z ) ) ) ] )
% 0.74/1.13 , clause( 84, [ =( multiply( add( X, Y ), Z ), add( multiply( X, Z ),
% 0.74/1.13 multiply( Y, Z ) ) ) ] )
% 0.74/1.13 , clause( 85, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.74/1.13 multiply( X, Z ) ) ) ] )
% 0.74/1.13 , clause( 86, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.74/1.13 , clause( 87, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.74/1.13 , clause( 88, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.74/1.13 , clause( 89, [ =( multiply( inverse( X ), X ), 'additive_identity' ) ] )
% 0.74/1.13 , clause( 90, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.74/1.13 , clause( 91, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.74/1.13 , clause( 92, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.74/1.13 , clause( 93, [ =( add( 'additive_identity', X ), X ) ] )
% 0.74/1.13 , clause( 94, [ ~( =( add( a, a ), a ) ) ] )
% 0.74/1.13 ] ).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 subsumption(
% 0.74/1.13 clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.74/1.13 , clause( 81, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.74/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.13 )] ) ).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 eqswap(
% 0.74/1.13 clause( 96, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y
% 0.74/1.13 , Z ) ) ) ] )
% 0.74/1.13 , clause( 83, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add(
% 0.74/1.13 X, Z ) ) ) ] )
% 0.74/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 subsumption(
% 0.74/1.13 clause( 3, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y,
% 0.74/1.13 Z ) ) ) ] )
% 0.74/1.13 , clause( 96, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply(
% 0.74/1.13 Y, Z ) ) ) ] )
% 0.74/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.13 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 eqswap(
% 0.74/1.13 clause( 100, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.74/1.13 add( Y, Z ) ) ) ] )
% 0.74/1.13 , clause( 85, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.74/1.13 multiply( X, Z ) ) ) ] )
% 0.74/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 subsumption(
% 0.74/1.13 clause( 5, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X, add(
% 0.74/1.13 Y, Z ) ) ) ] )
% 0.74/1.13 , clause( 100, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X
% 0.74/1.13 , add( Y, Z ) ) ) ] )
% 0.74/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.13 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 subsumption(
% 0.74/1.13 clause( 7, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.74/1.13 , clause( 87, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.74/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 subsumption(
% 0.74/1.13 clause( 8, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.74/1.13 , clause( 88, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.74/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 subsumption(
% 0.74/1.13 clause( 10, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.74/1.13 , clause( 90, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.74/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 subsumption(
% 0.74/1.13 clause( 12, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.74/1.13 , clause( 92, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.74/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 subsumption(
% 0.74/1.13 clause( 13, [ =( add( 'additive_identity', X ), X ) ] )
% 0.74/1.13 , clause( 93, [ =( add( 'additive_identity', X ), X ) ] )
% 0.74/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 subsumption(
% 0.74/1.13 clause( 14, [ ~( =( add( a, a ), a ) ) ] )
% 0.74/1.13 , clause( 94, [ ~( =( add( a, a ), a ) ) ] )
% 0.74/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 eqswap(
% 0.74/1.13 clause( 160, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.74/1.13 multiply( X, Z ) ) ) ] )
% 0.74/1.13 , clause( 5, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.74/1.13 add( Y, Z ) ) ) ] )
% 0.74/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 paramod(
% 0.74/1.13 clause( 162, [ =( multiply( X, add( inverse( X ), Y ) ), add(
% 0.74/1.13 'additive_identity', multiply( X, Y ) ) ) ] )
% 0.74/1.13 , clause( 8, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.74/1.13 , 0, clause( 160, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.74/1.13 multiply( X, Z ) ) ) ] )
% 0.74/1.13 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.74/1.13 :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 paramod(
% 0.74/1.13 clause( 164, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y ) )
% 0.74/1.13 ] )
% 0.74/1.13 , clause( 13, [ =( add( 'additive_identity', X ), X ) ] )
% 0.74/1.13 , 0, clause( 162, [ =( multiply( X, add( inverse( X ), Y ) ), add(
% 0.74/1.13 'additive_identity', multiply( X, Y ) ) ) ] )
% 0.74/1.13 , 0, 7, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 0.74/1.13 :=( X, X ), :=( Y, Y )] )).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 subsumption(
% 0.74/1.13 clause( 19, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y ) )
% 0.74/1.13 ] )
% 0.74/1.13 , clause( 164, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y )
% 0.74/1.13 ) ] )
% 0.74/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.13 )] ) ).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 eqswap(
% 0.74/1.13 clause( 167, [ =( multiply( X, Y ), multiply( X, add( inverse( X ), Y ) ) )
% 0.74/1.13 ] )
% 0.74/1.13 , clause( 19, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y )
% 0.74/1.13 ) ] )
% 0.74/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 paramod(
% 0.74/1.13 clause( 169, [ =( multiply( X, X ), multiply( X, 'multiplicative_identity'
% 0.74/1.13 ) ) ] )
% 0.74/1.13 , clause( 7, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.74/1.13 , 0, clause( 167, [ =( multiply( X, Y ), multiply( X, add( inverse( X ), Y
% 0.74/1.13 ) ) ) ] )
% 0.74/1.13 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.74/1.13 :=( Y, X )] )).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 paramod(
% 0.74/1.13 clause( 170, [ =( multiply( X, X ), X ) ] )
% 0.74/1.13 , clause( 10, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.74/1.13 , 0, clause( 169, [ =( multiply( X, X ), multiply( X,
% 0.74/1.13 'multiplicative_identity' ) ) ] )
% 0.74/1.13 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.74/1.13 ).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 subsumption(
% 0.74/1.13 clause( 31, [ =( multiply( X, X ), X ) ] )
% 0.74/1.13 , clause( 170, [ =( multiply( X, X ), X ) ] )
% 0.74/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 eqswap(
% 0.74/1.13 clause( 173, [ =( multiply( X, Y ), multiply( X, add( inverse( X ), Y ) ) )
% 0.74/1.13 ] )
% 0.74/1.13 , clause( 19, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y )
% 0.74/1.13 ) ] )
% 0.74/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 paramod(
% 0.74/1.13 clause( 175, [ =( multiply( X, 'additive_identity' ), multiply( X, inverse(
% 0.74/1.13 X ) ) ) ] )
% 0.74/1.13 , clause( 12, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.74/1.13 , 0, clause( 173, [ =( multiply( X, Y ), multiply( X, add( inverse( X ), Y
% 0.74/1.13 ) ) ) ] )
% 0.74/1.13 , 0, 6, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.74/1.13 :=( X, X ), :=( Y, 'additive_identity' )] )).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 paramod(
% 0.74/1.13 clause( 176, [ =( multiply( X, 'additive_identity' ), 'additive_identity' )
% 0.74/1.13 ] )
% 0.74/1.13 , clause( 8, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.74/1.13 , 0, clause( 175, [ =( multiply( X, 'additive_identity' ), multiply( X,
% 0.74/1.13 inverse( X ) ) ) ] )
% 0.74/1.13 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.74/1.13 ).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 subsumption(
% 0.74/1.13 clause( 32, [ =( multiply( X, 'additive_identity' ), 'additive_identity' )
% 0.74/1.13 ] )
% 0.74/1.13 , clause( 176, [ =( multiply( X, 'additive_identity' ), 'additive_identity'
% 0.74/1.13 ) ] )
% 0.74/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 eqswap(
% 0.74/1.13 clause( 179, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.74/1.13 multiply( X, Z ) ) ) ] )
% 0.74/1.13 , clause( 5, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.74/1.13 add( Y, Z ) ) ) ] )
% 0.74/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 paramod(
% 0.74/1.13 clause( 181, [ =( multiply( X, add( X, Y ) ), add( X, multiply( X, Y ) ) )
% 0.74/1.13 ] )
% 0.74/1.13 , clause( 31, [ =( multiply( X, X ), X ) ] )
% 0.74/1.13 , 0, clause( 179, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.74/1.13 multiply( X, Z ) ) ) ] )
% 0.74/1.13 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.74/1.13 :=( Y, X ), :=( Z, Y )] )).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 subsumption(
% 0.74/1.13 clause( 47, [ =( multiply( X, add( X, Y ) ), add( X, multiply( X, Y ) ) ) ]
% 0.74/1.13 )
% 0.74/1.13 , clause( 181, [ =( multiply( X, add( X, Y ) ), add( X, multiply( X, Y ) )
% 0.74/1.13 ) ] )
% 0.74/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.13 )] ) ).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 eqswap(
% 0.74/1.13 clause( 186, [ =( 'additive_identity', multiply( X, 'additive_identity' ) )
% 0.74/1.13 ] )
% 0.74/1.13 , clause( 32, [ =( multiply( X, 'additive_identity' ), 'additive_identity'
% 0.74/1.13 ) ] )
% 0.74/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 paramod(
% 0.74/1.13 clause( 187, [ =( 'additive_identity', multiply( 'additive_identity', X ) )
% 0.74/1.13 ] )
% 0.74/1.13 , clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.74/1.13 , 0, clause( 186, [ =( 'additive_identity', multiply( X,
% 0.74/1.13 'additive_identity' ) ) ] )
% 0.74/1.13 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'additive_identity' )] ),
% 0.74/1.13 substitution( 1, [ :=( X, X )] )).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 eqswap(
% 0.74/1.13 clause( 190, [ =( multiply( 'additive_identity', X ), 'additive_identity' )
% 0.74/1.13 ] )
% 0.74/1.13 , clause( 187, [ =( 'additive_identity', multiply( 'additive_identity', X )
% 0.74/1.13 ) ] )
% 0.74/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 subsumption(
% 0.74/1.13 clause( 49, [ =( multiply( 'additive_identity', X ), 'additive_identity' )
% 0.74/1.13 ] )
% 0.74/1.13 , clause( 190, [ =( multiply( 'additive_identity', X ), 'additive_identity'
% 0.74/1.13 ) ] )
% 0.74/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 eqswap(
% 0.74/1.13 clause( 192, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add( X
% 0.74/1.13 , Z ) ) ) ] )
% 0.74/1.13 , clause( 3, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y
% 0.74/1.13 , Z ) ) ) ] )
% 0.74/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 paramod(
% 0.74/1.13 clause( 196, [ =( add( X, multiply( 'additive_identity', Y ) ), multiply( X
% 0.74/1.13 , add( X, Y ) ) ) ] )
% 0.74/1.13 , clause( 12, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.74/1.13 , 0, clause( 192, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ),
% 0.74/1.13 add( X, Z ) ) ) ] )
% 0.74/1.13 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.74/1.13 :=( Y, 'additive_identity' ), :=( Z, Y )] )).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 paramod(
% 0.74/1.13 clause( 198, [ =( add( X, multiply( 'additive_identity', Y ) ), add( X,
% 0.74/1.13 multiply( X, Y ) ) ) ] )
% 0.74/1.13 , clause( 47, [ =( multiply( X, add( X, Y ) ), add( X, multiply( X, Y ) ) )
% 0.74/1.13 ] )
% 0.74/1.13 , 0, clause( 196, [ =( add( X, multiply( 'additive_identity', Y ) ),
% 0.74/1.13 multiply( X, add( X, Y ) ) ) ] )
% 0.74/1.13 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.74/1.13 :=( X, X ), :=( Y, Y )] )).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 paramod(
% 0.74/1.13 clause( 199, [ =( add( X, 'additive_identity' ), add( X, multiply( X, Y ) )
% 0.74/1.13 ) ] )
% 0.74/1.13 , clause( 49, [ =( multiply( 'additive_identity', X ), 'additive_identity'
% 0.74/1.13 ) ] )
% 0.74/1.13 , 0, clause( 198, [ =( add( X, multiply( 'additive_identity', Y ) ), add( X
% 0.74/1.13 , multiply( X, Y ) ) ) ] )
% 0.74/1.13 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.74/1.13 :=( Y, Y )] )).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 paramod(
% 0.74/1.13 clause( 200, [ =( X, add( X, multiply( X, Y ) ) ) ] )
% 0.74/1.13 , clause( 12, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.74/1.13 , 0, clause( 199, [ =( add( X, 'additive_identity' ), add( X, multiply( X,
% 0.74/1.13 Y ) ) ) ] )
% 0.74/1.13 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.74/1.13 :=( Y, Y )] )).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 eqswap(
% 0.74/1.13 clause( 201, [ =( add( X, multiply( X, Y ) ), X ) ] )
% 0.74/1.13 , clause( 200, [ =( X, add( X, multiply( X, Y ) ) ) ] )
% 0.74/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 subsumption(
% 0.74/1.13 clause( 65, [ =( add( X, multiply( X, Y ) ), X ) ] )
% 0.74/1.13 , clause( 201, [ =( add( X, multiply( X, Y ) ), X ) ] )
% 0.74/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.13 )] ) ).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 eqswap(
% 0.74/1.13 clause( 203, [ =( X, add( X, multiply( X, Y ) ) ) ] )
% 0.74/1.13 , clause( 65, [ =( add( X, multiply( X, Y ) ), X ) ] )
% 0.74/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 paramod(
% 0.74/1.13 clause( 204, [ =( X, add( X, X ) ) ] )
% 0.74/1.13 , clause( 31, [ =( multiply( X, X ), X ) ] )
% 0.74/1.13 , 0, clause( 203, [ =( X, add( X, multiply( X, Y ) ) ) ] )
% 0.74/1.13 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.74/1.13 :=( Y, X )] )).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 eqswap(
% 0.74/1.13 clause( 205, [ =( add( X, X ), X ) ] )
% 0.74/1.13 , clause( 204, [ =( X, add( X, X ) ) ] )
% 0.74/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 subsumption(
% 0.74/1.13 clause( 72, [ =( add( X, X ), X ) ] )
% 0.74/1.13 , clause( 205, [ =( add( X, X ), X ) ] )
% 0.74/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 eqswap(
% 0.74/1.13 clause( 206, [ =( X, add( X, X ) ) ] )
% 0.74/1.13 , clause( 72, [ =( add( X, X ), X ) ] )
% 0.74/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 eqswap(
% 0.74/1.13 clause( 207, [ ~( =( a, add( a, a ) ) ) ] )
% 0.74/1.13 , clause( 14, [ ~( =( add( a, a ), a ) ) ] )
% 0.74/1.13 , 0, substitution( 0, [] )).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 resolution(
% 0.74/1.13 clause( 208, [] )
% 0.74/1.13 , clause( 207, [ ~( =( a, add( a, a ) ) ) ] )
% 0.74/1.13 , 0, clause( 206, [ =( X, add( X, X ) ) ] )
% 0.74/1.13 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a )] )).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 subsumption(
% 0.74/1.13 clause( 78, [] )
% 0.74/1.13 , clause( 208, [] )
% 0.74/1.13 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 end.
% 0.74/1.13
% 0.74/1.13 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.13
% 0.74/1.13 Memory use:
% 0.74/1.13
% 0.74/1.13 space for terms: 1125
% 0.74/1.13 space for clauses: 8548
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 clauses generated: 320
% 0.74/1.13 clauses kept: 79
% 0.74/1.13 clauses selected: 25
% 0.74/1.13 clauses deleted: 0
% 0.74/1.13 clauses inuse deleted: 0
% 0.74/1.13
% 0.74/1.13 subsentry: 553
% 0.74/1.13 literals s-matched: 276
% 0.74/1.13 literals matched: 276
% 0.74/1.13 full subsumption: 0
% 0.74/1.13
% 0.74/1.13 checksum: -1586635750
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 Bliksem ended
%------------------------------------------------------------------------------