TSTP Solution File: BOO009-4 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : BOO009-4 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.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 23:30:36 EDT 2022
% Result : Unsatisfiable 0.76s 1.13s
% Output : Refutation 0.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : BOO009-4 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Wed Jun 1 23:48:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.76/1.13 *** allocated 10000 integers for termspace/termends
% 0.76/1.13 *** allocated 10000 integers for clauses
% 0.76/1.13 *** allocated 10000 integers for justifications
% 0.76/1.13 Bliksem 1.12
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 Automatic Strategy Selection
% 0.76/1.13
% 0.76/1.13 Clauses:
% 0.76/1.13 [
% 0.76/1.13 [ =( add( X, Y ), add( Y, X ) ) ],
% 0.76/1.13 [ =( multiply( X, Y ), multiply( Y, X ) ) ],
% 0.76/1.13 [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add( X, Z ) ) )
% 0.76/1.13 ],
% 0.76/1.13 [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ), multiply( X, Z )
% 0.76/1.13 ) ) ],
% 0.76/1.13 [ =( add( X, 'additive_identity' ), X ) ],
% 0.76/1.13 [ =( multiply( X, 'multiplicative_identity' ), X ) ],
% 0.76/1.13 [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ],
% 0.76/1.13 [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ],
% 0.76/1.13 [ ~( =( multiply( a, add( a, b ) ), a ) ) ]
% 0.76/1.13 ] .
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 percentage equality = 1.000000, percentage horn = 1.000000
% 0.76/1.13 This is a pure equality problem
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 Options Used:
% 0.76/1.13
% 0.76/1.13 useres = 1
% 0.76/1.13 useparamod = 1
% 0.76/1.13 useeqrefl = 1
% 0.76/1.13 useeqfact = 1
% 0.76/1.13 usefactor = 1
% 0.76/1.13 usesimpsplitting = 0
% 0.76/1.13 usesimpdemod = 5
% 0.76/1.13 usesimpres = 3
% 0.76/1.13
% 0.76/1.13 resimpinuse = 1000
% 0.76/1.13 resimpclauses = 20000
% 0.76/1.13 substype = eqrewr
% 0.76/1.13 backwardsubs = 1
% 0.76/1.13 selectoldest = 5
% 0.76/1.13
% 0.76/1.13 litorderings [0] = split
% 0.76/1.13 litorderings [1] = extend the termordering, first sorting on arguments
% 0.76/1.13
% 0.76/1.13 termordering = kbo
% 0.76/1.13
% 0.76/1.13 litapriori = 0
% 0.76/1.13 termapriori = 1
% 0.76/1.13 litaposteriori = 0
% 0.76/1.13 termaposteriori = 0
% 0.76/1.13 demodaposteriori = 0
% 0.76/1.13 ordereqreflfact = 0
% 0.76/1.13
% 0.76/1.13 litselect = negord
% 0.76/1.13
% 0.76/1.13 maxweight = 15
% 0.76/1.13 maxdepth = 30000
% 0.76/1.13 maxlength = 115
% 0.76/1.13 maxnrvars = 195
% 0.76/1.13 excuselevel = 1
% 0.76/1.13 increasemaxweight = 1
% 0.76/1.13
% 0.76/1.13 maxselected = 10000000
% 0.76/1.13 maxnrclauses = 10000000
% 0.76/1.13
% 0.76/1.13 showgenerated = 0
% 0.76/1.13 showkept = 0
% 0.76/1.13 showselected = 0
% 0.76/1.13 showdeleted = 0
% 0.76/1.13 showresimp = 1
% 0.76/1.13 showstatus = 2000
% 0.76/1.13
% 0.76/1.13 prologoutput = 1
% 0.76/1.13 nrgoals = 5000000
% 0.76/1.13 totalproof = 1
% 0.76/1.13
% 0.76/1.13 Symbols occurring in the translation:
% 0.76/1.13
% 0.76/1.13 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.76/1.13 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.76/1.13 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.76/1.13 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.76/1.13 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.76/1.13 add [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.76/1.13 multiply [42, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.76/1.13 'additive_identity' [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.76/1.13 'multiplicative_identity' [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.76/1.13 inverse [46, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.76/1.13 a [47, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.76/1.13 b [48, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 Starting Search:
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 Bliksems!, er is een bewijs:
% 0.76/1.13 % SZS status Unsatisfiable
% 0.76/1.13 % SZS output start Refutation
% 0.76/1.13
% 0.76/1.13 clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.76/1.13 .
% 0.76/1.13 clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.76/1.13 .
% 0.76/1.13 clause( 2, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y,
% 0.76/1.13 Z ) ) ) ] )
% 0.76/1.13 .
% 0.76/1.13 clause( 3, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X, add(
% 0.76/1.13 Y, Z ) ) ) ] )
% 0.76/1.13 .
% 0.76/1.13 clause( 4, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.76/1.13 .
% 0.76/1.13 clause( 7, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.76/1.13 .
% 0.76/1.13 clause( 8, [ ~( =( multiply( a, add( a, b ) ), a ) ) ] )
% 0.76/1.13 .
% 0.76/1.13 clause( 12, [ =( add( 'additive_identity', X ), X ) ] )
% 0.76/1.13 .
% 0.76/1.13 clause( 15, [ =( multiply( add( Y, X ), add( X, Z ) ), add( X, multiply( Y
% 0.76/1.13 , Z ) ) ) ] )
% 0.76/1.13 .
% 0.76/1.13 clause( 24, [ ~( =( multiply( a, add( b, a ) ), a ) ) ] )
% 0.76/1.13 .
% 0.76/1.13 clause( 26, [ ~( =( multiply( add( b, a ), a ), a ) ) ] )
% 0.76/1.13 .
% 0.76/1.13 clause( 36, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y ) )
% 0.76/1.13 ] )
% 0.76/1.13 .
% 0.76/1.13 clause( 46, [ =( multiply( X, 'additive_identity' ), 'additive_identity' )
% 0.76/1.13 ] )
% 0.76/1.13 .
% 0.76/1.13 clause( 51, [ =( multiply( add( Y, X ), X ), X ) ] )
% 0.76/1.13 .
% 0.76/1.13 clause( 53, [] )
% 0.76/1.13 .
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 % SZS output end Refutation
% 0.76/1.13 found a proof!
% 0.76/1.13
% 0.76/1.13 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.76/1.13
% 0.76/1.13 initialclauses(
% 0.76/1.13 [ clause( 55, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.76/1.13 , clause( 56, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.76/1.13 , clause( 57, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add(
% 0.76/1.13 X, Z ) ) ) ] )
% 0.76/1.13 , clause( 58, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.76/1.13 multiply( X, Z ) ) ) ] )
% 0.76/1.13 , clause( 59, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.76/1.13 , clause( 60, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.76/1.13 , clause( 61, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.76/1.13 , clause( 62, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.76/1.13 , clause( 63, [ ~( =( multiply( a, add( a, b ) ), a ) ) ] )
% 0.76/1.13 ] ).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 subsumption(
% 0.76/1.13 clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.76/1.13 , clause( 55, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.76/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.13 )] ) ).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 subsumption(
% 0.76/1.13 clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.76/1.13 , clause( 56, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.76/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.13 )] ) ).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 eqswap(
% 0.76/1.13 clause( 64, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y
% 0.76/1.13 , Z ) ) ) ] )
% 0.76/1.13 , clause( 57, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add(
% 0.76/1.13 X, Z ) ) ) ] )
% 0.76/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 subsumption(
% 0.76/1.13 clause( 2, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y,
% 0.76/1.13 Z ) ) ) ] )
% 0.76/1.13 , clause( 64, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply(
% 0.76/1.13 Y, Z ) ) ) ] )
% 0.76/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.13 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 eqswap(
% 0.76/1.13 clause( 66, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.76/1.13 add( Y, Z ) ) ) ] )
% 0.76/1.13 , clause( 58, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.76/1.13 multiply( X, Z ) ) ) ] )
% 0.76/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 subsumption(
% 0.76/1.13 clause( 3, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X, add(
% 0.76/1.13 Y, Z ) ) ) ] )
% 0.76/1.13 , clause( 66, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.76/1.13 add( Y, Z ) ) ) ] )
% 0.76/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.13 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 subsumption(
% 0.76/1.13 clause( 4, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.76/1.13 , clause( 59, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.76/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 subsumption(
% 0.76/1.13 clause( 7, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.76/1.13 , clause( 62, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.76/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 subsumption(
% 0.76/1.13 clause( 8, [ ~( =( multiply( a, add( a, b ) ), a ) ) ] )
% 0.76/1.13 , clause( 63, [ ~( =( multiply( a, add( a, b ) ), a ) ) ] )
% 0.76/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 eqswap(
% 0.76/1.13 clause( 83, [ =( X, add( X, 'additive_identity' ) ) ] )
% 0.76/1.13 , clause( 4, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.76/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 paramod(
% 0.76/1.13 clause( 84, [ =( X, add( 'additive_identity', X ) ) ] )
% 0.76/1.13 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.76/1.13 , 0, clause( 83, [ =( X, add( X, 'additive_identity' ) ) ] )
% 0.76/1.13 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'additive_identity' )] ),
% 0.76/1.13 substitution( 1, [ :=( X, X )] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 eqswap(
% 0.76/1.13 clause( 87, [ =( add( 'additive_identity', X ), X ) ] )
% 0.76/1.13 , clause( 84, [ =( X, add( 'additive_identity', X ) ) ] )
% 0.76/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 subsumption(
% 0.76/1.13 clause( 12, [ =( add( 'additive_identity', X ), X ) ] )
% 0.76/1.13 , clause( 87, [ =( add( 'additive_identity', X ), X ) ] )
% 0.76/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 eqswap(
% 0.76/1.13 clause( 88, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add( X
% 0.76/1.13 , Z ) ) ) ] )
% 0.76/1.13 , clause( 2, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y
% 0.76/1.13 , Z ) ) ) ] )
% 0.76/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 paramod(
% 0.76/1.13 clause( 90, [ =( add( X, multiply( Y, Z ) ), multiply( add( Y, X ), add( X
% 0.76/1.13 , Z ) ) ) ] )
% 0.76/1.13 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.76/1.13 , 0, clause( 88, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ),
% 0.76/1.13 add( X, Z ) ) ) ] )
% 0.76/1.13 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.76/1.13 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 eqswap(
% 0.76/1.13 clause( 98, [ =( multiply( add( Y, X ), add( X, Z ) ), add( X, multiply( Y
% 0.76/1.13 , Z ) ) ) ] )
% 0.76/1.13 , clause( 90, [ =( add( X, multiply( Y, Z ) ), multiply( add( Y, X ), add(
% 0.76/1.13 X, Z ) ) ) ] )
% 0.76/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 subsumption(
% 0.76/1.13 clause( 15, [ =( multiply( add( Y, X ), add( X, Z ) ), add( X, multiply( Y
% 0.76/1.13 , Z ) ) ) ] )
% 0.76/1.13 , clause( 98, [ =( multiply( add( Y, X ), add( X, Z ) ), add( X, multiply(
% 0.76/1.13 Y, Z ) ) ) ] )
% 0.76/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.13 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 eqswap(
% 0.76/1.13 clause( 105, [ ~( =( a, multiply( a, add( a, b ) ) ) ) ] )
% 0.76/1.13 , clause( 8, [ ~( =( multiply( a, add( a, b ) ), a ) ) ] )
% 0.76/1.13 , 0, substitution( 0, [] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 paramod(
% 0.76/1.13 clause( 106, [ ~( =( a, multiply( a, add( b, a ) ) ) ) ] )
% 0.76/1.13 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.76/1.13 , 0, clause( 105, [ ~( =( a, multiply( a, add( a, b ) ) ) ) ] )
% 0.76/1.13 , 0, 5, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 0.76/1.13 ).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 eqswap(
% 0.76/1.13 clause( 109, [ ~( =( multiply( a, add( b, a ) ), a ) ) ] )
% 0.76/1.13 , clause( 106, [ ~( =( a, multiply( a, add( b, a ) ) ) ) ] )
% 0.76/1.13 , 0, substitution( 0, [] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 subsumption(
% 0.76/1.13 clause( 24, [ ~( =( multiply( a, add( b, a ) ), a ) ) ] )
% 0.76/1.13 , clause( 109, [ ~( =( multiply( a, add( b, a ) ), a ) ) ] )
% 0.76/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 eqswap(
% 0.76/1.13 clause( 110, [ ~( =( a, multiply( a, add( b, a ) ) ) ) ] )
% 0.76/1.13 , clause( 24, [ ~( =( multiply( a, add( b, a ) ), a ) ) ] )
% 0.76/1.13 , 0, substitution( 0, [] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 paramod(
% 0.76/1.13 clause( 111, [ ~( =( a, multiply( add( b, a ), a ) ) ) ] )
% 0.76/1.13 , clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.76/1.13 , 0, clause( 110, [ ~( =( a, multiply( a, add( b, a ) ) ) ) ] )
% 0.76/1.13 , 0, 3, substitution( 0, [ :=( X, a ), :=( Y, add( b, a ) )] ),
% 0.76/1.13 substitution( 1, [] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 eqswap(
% 0.76/1.13 clause( 114, [ ~( =( multiply( add( b, a ), a ), a ) ) ] )
% 0.76/1.13 , clause( 111, [ ~( =( a, multiply( add( b, a ), a ) ) ) ] )
% 0.76/1.13 , 0, substitution( 0, [] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 subsumption(
% 0.76/1.13 clause( 26, [ ~( =( multiply( add( b, a ), a ), a ) ) ] )
% 0.76/1.13 , clause( 114, [ ~( =( multiply( add( b, a ), a ), a ) ) ] )
% 0.76/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 eqswap(
% 0.76/1.13 clause( 116, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.76/1.13 multiply( X, Z ) ) ) ] )
% 0.76/1.13 , clause( 3, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.76/1.13 add( Y, Z ) ) ) ] )
% 0.76/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 paramod(
% 0.76/1.13 clause( 118, [ =( multiply( X, add( inverse( X ), Y ) ), add(
% 0.76/1.13 'additive_identity', multiply( X, Y ) ) ) ] )
% 0.76/1.13 , clause( 7, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.76/1.13 , 0, clause( 116, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.76/1.13 multiply( X, Z ) ) ) ] )
% 0.76/1.13 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.76/1.13 :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 paramod(
% 0.76/1.13 clause( 120, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y ) )
% 0.76/1.13 ] )
% 0.76/1.13 , clause( 12, [ =( add( 'additive_identity', X ), X ) ] )
% 0.76/1.13 , 0, clause( 118, [ =( multiply( X, add( inverse( X ), Y ) ), add(
% 0.76/1.13 'additive_identity', multiply( X, Y ) ) ) ] )
% 0.76/1.13 , 0, 7, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 0.76/1.13 :=( X, X ), :=( Y, Y )] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 subsumption(
% 0.76/1.13 clause( 36, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y ) )
% 0.76/1.13 ] )
% 0.76/1.13 , clause( 120, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y )
% 0.76/1.13 ) ] )
% 0.76/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.13 )] ) ).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 eqswap(
% 0.76/1.13 clause( 123, [ =( multiply( X, Y ), multiply( X, add( inverse( X ), Y ) ) )
% 0.76/1.13 ] )
% 0.76/1.13 , clause( 36, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y )
% 0.76/1.13 ) ] )
% 0.76/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 paramod(
% 0.76/1.13 clause( 125, [ =( multiply( X, 'additive_identity' ), multiply( X, inverse(
% 0.76/1.13 X ) ) ) ] )
% 0.76/1.13 , clause( 4, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.76/1.13 , 0, clause( 123, [ =( multiply( X, Y ), multiply( X, add( inverse( X ), Y
% 0.76/1.13 ) ) ) ] )
% 0.76/1.13 , 0, 6, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.76/1.13 :=( X, X ), :=( Y, 'additive_identity' )] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 paramod(
% 0.76/1.13 clause( 126, [ =( multiply( X, 'additive_identity' ), 'additive_identity' )
% 0.76/1.13 ] )
% 0.76/1.13 , clause( 7, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.76/1.13 , 0, clause( 125, [ =( multiply( X, 'additive_identity' ), multiply( X,
% 0.76/1.13 inverse( X ) ) ) ] )
% 0.76/1.13 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.76/1.13 ).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 subsumption(
% 0.76/1.13 clause( 46, [ =( multiply( X, 'additive_identity' ), 'additive_identity' )
% 0.76/1.13 ] )
% 0.76/1.13 , clause( 126, [ =( multiply( X, 'additive_identity' ), 'additive_identity'
% 0.76/1.13 ) ] )
% 0.76/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 eqswap(
% 0.76/1.13 clause( 129, [ =( add( Y, multiply( X, Z ) ), multiply( add( X, Y ), add( Y
% 0.76/1.13 , Z ) ) ) ] )
% 0.76/1.13 , clause( 15, [ =( multiply( add( Y, X ), add( X, Z ) ), add( X, multiply(
% 0.76/1.13 Y, Z ) ) ) ] )
% 0.76/1.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 paramod(
% 0.76/1.13 clause( 133, [ =( add( X, multiply( Y, 'additive_identity' ) ), multiply(
% 0.76/1.13 add( Y, X ), X ) ) ] )
% 0.76/1.13 , clause( 4, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.76/1.13 , 0, clause( 129, [ =( add( Y, multiply( X, Z ) ), multiply( add( X, Y ),
% 0.76/1.13 add( Y, Z ) ) ) ] )
% 0.76/1.13 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 0.76/1.13 :=( Y, X ), :=( Z, 'additive_identity' )] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 paramod(
% 0.76/1.13 clause( 134, [ =( add( X, 'additive_identity' ), multiply( add( Y, X ), X )
% 0.76/1.13 ) ] )
% 0.76/1.13 , clause( 46, [ =( multiply( X, 'additive_identity' ), 'additive_identity'
% 0.76/1.13 ) ] )
% 0.76/1.13 , 0, clause( 133, [ =( add( X, multiply( Y, 'additive_identity' ) ),
% 0.76/1.13 multiply( add( Y, X ), X ) ) ] )
% 0.76/1.13 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.76/1.13 :=( Y, Y )] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 paramod(
% 0.76/1.13 clause( 135, [ =( X, multiply( add( Y, X ), X ) ) ] )
% 0.76/1.13 , clause( 4, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.76/1.13 , 0, clause( 134, [ =( add( X, 'additive_identity' ), multiply( add( Y, X )
% 0.76/1.13 , X ) ) ] )
% 0.76/1.13 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.76/1.13 :=( Y, Y )] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 eqswap(
% 0.76/1.13 clause( 136, [ =( multiply( add( Y, X ), X ), X ) ] )
% 0.76/1.13 , clause( 135, [ =( X, multiply( add( Y, X ), X ) ) ] )
% 0.76/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 subsumption(
% 0.76/1.13 clause( 51, [ =( multiply( add( Y, X ), X ), X ) ] )
% 0.76/1.13 , clause( 136, [ =( multiply( add( Y, X ), X ), X ) ] )
% 0.76/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.13 )] ) ).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 eqswap(
% 0.76/1.13 clause( 137, [ =( Y, multiply( add( X, Y ), Y ) ) ] )
% 0.76/1.13 , clause( 51, [ =( multiply( add( Y, X ), X ), X ) ] )
% 0.76/1.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 eqswap(
% 0.76/1.13 clause( 138, [ ~( =( a, multiply( add( b, a ), a ) ) ) ] )
% 0.76/1.13 , clause( 26, [ ~( =( multiply( add( b, a ), a ), a ) ) ] )
% 0.76/1.13 , 0, substitution( 0, [] )).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 resolution(
% 0.76/1.13 clause( 139, [] )
% 0.76/1.13 , clause( 138, [ ~( =( a, multiply( add( b, a ), a ) ) ) ] )
% 0.76/1.13 , 0, clause( 137, [ =( Y, multiply( add( X, Y ), Y ) ) ] )
% 0.76/1.13 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, b ), :=( Y, a )] )
% 0.76/1.13 ).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 subsumption(
% 0.76/1.13 clause( 53, [] )
% 0.76/1.13 , clause( 139, [] )
% 0.76/1.13 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 end.
% 0.76/1.13
% 0.76/1.13 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.76/1.13
% 0.76/1.13 Memory use:
% 0.76/1.13
% 0.76/1.13 space for terms: 715
% 0.76/1.13 space for clauses: 5665
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 clauses generated: 243
% 0.76/1.13 clauses kept: 54
% 0.76/1.13 clauses selected: 24
% 0.76/1.13 clauses deleted: 0
% 0.76/1.13 clauses inuse deleted: 0
% 0.76/1.13
% 0.76/1.13 subsentry: 522
% 0.76/1.13 literals s-matched: 237
% 0.76/1.13 literals matched: 167
% 0.76/1.13 full subsumption: 0
% 0.76/1.13
% 0.76/1.13 checksum: -2083416879
% 0.76/1.13
% 0.76/1.13
% 0.76/1.13 Bliksem ended
%------------------------------------------------------------------------------