TSTP Solution File: BOO003-4 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : BOO003-4 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Thu Jul 14 23:30:33 EDT 2022
% Result : Unsatisfiable 0.42s 1.06s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : BOO003-4 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n018.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 18:36:59 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.42/1.06 *** allocated 10000 integers for termspace/termends
% 0.42/1.06 *** allocated 10000 integers for clauses
% 0.42/1.06 *** allocated 10000 integers for justifications
% 0.42/1.06 Bliksem 1.12
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Automatic Strategy Selection
% 0.42/1.06
% 0.42/1.06 Clauses:
% 0.42/1.06 [
% 0.42/1.06 [ =( add( X, Y ), add( Y, X ) ) ],
% 0.42/1.06 [ =( multiply( X, Y ), multiply( Y, X ) ) ],
% 0.42/1.06 [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add( X, Z ) ) )
% 0.42/1.06 ],
% 0.42/1.06 [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ), multiply( X, Z )
% 0.42/1.06 ) ) ],
% 0.42/1.06 [ =( add( X, 'additive_identity' ), X ) ],
% 0.42/1.06 [ =( multiply( X, 'multiplicative_identity' ), X ) ],
% 0.42/1.06 [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ],
% 0.42/1.06 [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ],
% 0.42/1.06 [ ~( =( multiply( a, a ), a ) ) ]
% 0.42/1.06 ] .
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 percentage equality = 1.000000, percentage horn = 1.000000
% 0.42/1.06 This is a pure equality problem
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Options Used:
% 0.42/1.06
% 0.42/1.06 useres = 1
% 0.42/1.06 useparamod = 1
% 0.42/1.06 useeqrefl = 1
% 0.42/1.06 useeqfact = 1
% 0.42/1.06 usefactor = 1
% 0.42/1.06 usesimpsplitting = 0
% 0.42/1.06 usesimpdemod = 5
% 0.42/1.06 usesimpres = 3
% 0.42/1.06
% 0.42/1.06 resimpinuse = 1000
% 0.42/1.06 resimpclauses = 20000
% 0.42/1.06 substype = eqrewr
% 0.42/1.06 backwardsubs = 1
% 0.42/1.06 selectoldest = 5
% 0.42/1.06
% 0.42/1.06 litorderings [0] = split
% 0.42/1.06 litorderings [1] = extend the termordering, first sorting on arguments
% 0.42/1.06
% 0.42/1.06 termordering = kbo
% 0.42/1.06
% 0.42/1.06 litapriori = 0
% 0.42/1.06 termapriori = 1
% 0.42/1.06 litaposteriori = 0
% 0.42/1.06 termaposteriori = 0
% 0.42/1.06 demodaposteriori = 0
% 0.42/1.06 ordereqreflfact = 0
% 0.42/1.06
% 0.42/1.06 litselect = negord
% 0.42/1.06
% 0.42/1.06 maxweight = 15
% 0.42/1.06 maxdepth = 30000
% 0.42/1.06 maxlength = 115
% 0.42/1.06 maxnrvars = 195
% 0.42/1.06 excuselevel = 1
% 0.42/1.06 increasemaxweight = 1
% 0.42/1.06
% 0.42/1.06 maxselected = 10000000
% 0.42/1.06 maxnrclauses = 10000000
% 0.42/1.06
% 0.42/1.06 showgenerated = 0
% 0.42/1.06 showkept = 0
% 0.42/1.06 showselected = 0
% 0.42/1.06 showdeleted = 0
% 0.42/1.06 showresimp = 1
% 0.42/1.06 showstatus = 2000
% 0.42/1.06
% 0.42/1.06 prologoutput = 1
% 0.42/1.06 nrgoals = 5000000
% 0.42/1.06 totalproof = 1
% 0.42/1.06
% 0.42/1.06 Symbols occurring in the translation:
% 0.42/1.06
% 0.42/1.06 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.42/1.06 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.42/1.06 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.42/1.06 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.06 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.06 add [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.42/1.06 multiply [42, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.42/1.06 'additive_identity' [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.42/1.06 'multiplicative_identity' [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.42/1.06 inverse [46, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.42/1.06 a [47, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Starting Search:
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Bliksems!, er is een bewijs:
% 0.42/1.06 % SZS status Unsatisfiable
% 0.42/1.06 % SZS output start Refutation
% 0.42/1.06
% 0.42/1.06 clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 2, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y,
% 0.42/1.06 Z ) ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 3, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X, add(
% 0.42/1.06 Y, Z ) ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 4, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 5, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 6, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 7, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 8, [ ~( =( multiply( a, a ), a ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 12, [ =( multiply( inverse( X ), X ), 'additive_identity' ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 13, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 17, [ =( multiply( add( Y, X ), add( X, Z ) ), add( X, multiply( Y
% 0.42/1.06 , Z ) ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 19, [ =( add( X, multiply( inverse( X ), Y ) ), add( X, Y ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 24, [ =( add( X, X ), X ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 30, [ =( add( X, 'multiplicative_identity' ),
% 0.42/1.06 'multiplicative_identity' ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 43, [ =( add( multiply( X, Y ), X ), X ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 44, [ =( multiply( X, add( X, Y ) ), add( X, multiply( X, Y ) ) ) ]
% 0.42/1.06 )
% 0.42/1.06 .
% 0.42/1.06 clause( 45, [ =( multiply( add( X, Y ), X ), add( X, multiply( Y, X ) ) ) ]
% 0.42/1.06 )
% 0.42/1.06 .
% 0.42/1.06 clause( 50, [ =( add( multiply( Y, X ), X ), X ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 51, [ =( add( X, multiply( X, Y ) ), X ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 65, [ =( add( Y, multiply( X, Y ) ), Y ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 73, [ =( add( X, multiply( multiply( X, Y ), Z ) ), X ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 83, [ =( add( X, multiply( T, multiply( multiply( X, Y ), Z ) ) ),
% 0.42/1.06 X ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 85, [ =( add( multiply( multiply( X, Y ), Z ), X ), X ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 88, [ =( add( multiply( Z, multiply( X, Y ) ), X ), X ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 97, [ =( multiply( add( T, X ), X ), X ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 104, [ =( multiply( Y, Y ), Y ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 122, [] )
% 0.42/1.06 .
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 % SZS output end Refutation
% 0.42/1.06 found a proof!
% 0.42/1.06
% 0.42/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.06
% 0.42/1.06 initialclauses(
% 0.42/1.06 [ clause( 124, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.42/1.06 , clause( 125, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.42/1.06 , clause( 126, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add(
% 0.42/1.06 X, Z ) ) ) ] )
% 0.42/1.06 , clause( 127, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.42/1.06 multiply( X, Z ) ) ) ] )
% 0.42/1.06 , clause( 128, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.42/1.06 , clause( 129, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.42/1.06 , clause( 130, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ]
% 0.42/1.06 )
% 0.42/1.06 , clause( 131, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.42/1.06 , clause( 132, [ ~( =( multiply( a, a ), a ) ) ] )
% 0.42/1.06 ] ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.42/1.06 , clause( 124, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.06 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.42/1.06 , clause( 125, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.06 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 133, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y
% 0.42/1.06 , Z ) ) ) ] )
% 0.42/1.06 , clause( 126, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add(
% 0.42/1.06 X, Z ) ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 2, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y,
% 0.42/1.06 Z ) ) ) ] )
% 0.42/1.06 , clause( 133, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply(
% 0.42/1.06 Y, Z ) ) ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.42/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 135, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.42/1.06 add( Y, Z ) ) ) ] )
% 0.42/1.06 , clause( 127, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.42/1.06 multiply( X, Z ) ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 3, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X, add(
% 0.42/1.06 Y, Z ) ) ) ] )
% 0.42/1.06 , clause( 135, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X
% 0.42/1.06 , add( Y, Z ) ) ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.42/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 4, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.42/1.06 , clause( 128, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 5, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.42/1.06 , clause( 129, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 6, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.42/1.06 , clause( 130, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ]
% 0.42/1.06 )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 7, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.42/1.06 , clause( 131, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 8, [ ~( =( multiply( a, a ), a ) ) ] )
% 0.42/1.06 , clause( 132, [ ~( =( multiply( a, a ), a ) ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 161, [ =( 'additive_identity', multiply( X, inverse( X ) ) ) ] )
% 0.42/1.06 , clause( 7, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 162, [ =( 'additive_identity', multiply( inverse( X ), X ) ) ] )
% 0.42/1.06 , clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.42/1.06 , 0, clause( 161, [ =( 'additive_identity', multiply( X, inverse( X ) ) ) ]
% 0.42/1.06 )
% 0.42/1.06 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, inverse( X ) )] ),
% 0.42/1.06 substitution( 1, [ :=( X, X )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 165, [ =( multiply( inverse( X ), X ), 'additive_identity' ) ] )
% 0.42/1.06 , clause( 162, [ =( 'additive_identity', multiply( inverse( X ), X ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 12, [ =( multiply( inverse( X ), X ), 'additive_identity' ) ] )
% 0.42/1.06 , clause( 165, [ =( multiply( inverse( X ), X ), 'additive_identity' ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 166, [ =( X, multiply( X, 'multiplicative_identity' ) ) ] )
% 0.42/1.06 , clause( 5, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 167, [ =( X, multiply( 'multiplicative_identity', X ) ) ] )
% 0.42/1.06 , clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.42/1.06 , 0, clause( 166, [ =( X, multiply( X, 'multiplicative_identity' ) ) ] )
% 0.42/1.06 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'multiplicative_identity' )] )
% 0.42/1.06 , substitution( 1, [ :=( X, X )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 170, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.42/1.06 , clause( 167, [ =( X, multiply( 'multiplicative_identity', X ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 13, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.42/1.06 , clause( 170, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 171, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add( X
% 0.42/1.06 , Z ) ) ) ] )
% 0.42/1.06 , clause( 2, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y
% 0.42/1.06 , Z ) ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 173, [ =( add( X, multiply( Y, Z ) ), multiply( add( Y, X ), add( X
% 0.42/1.06 , Z ) ) ) ] )
% 0.42/1.06 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.42/1.06 , 0, clause( 171, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ),
% 0.42/1.06 add( X, Z ) ) ) ] )
% 0.42/1.06 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.42/1.06 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 181, [ =( multiply( add( Y, X ), add( X, Z ) ), add( X, multiply( Y
% 0.42/1.06 , Z ) ) ) ] )
% 0.42/1.06 , clause( 173, [ =( add( X, multiply( Y, Z ) ), multiply( add( Y, X ), add(
% 0.42/1.06 X, Z ) ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 17, [ =( multiply( add( Y, X ), add( X, Z ) ), add( X, multiply( Y
% 0.42/1.06 , Z ) ) ) ] )
% 0.42/1.06 , clause( 181, [ =( multiply( add( Y, X ), add( X, Z ) ), add( X, multiply(
% 0.42/1.06 Y, Z ) ) ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.42/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 189, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add( X
% 0.42/1.06 , Z ) ) ) ] )
% 0.42/1.06 , clause( 2, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y
% 0.42/1.06 , Z ) ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 191, [ =( add( X, multiply( inverse( X ), Y ) ), multiply(
% 0.42/1.06 'multiplicative_identity', add( X, Y ) ) ) ] )
% 0.42/1.06 , clause( 6, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.42/1.06 , 0, clause( 189, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ),
% 0.42/1.06 add( X, Z ) ) ) ] )
% 0.42/1.06 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.42/1.06 :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 193, [ =( add( X, multiply( inverse( X ), Y ) ), add( X, Y ) ) ] )
% 0.42/1.06 , clause( 13, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.42/1.06 , 0, clause( 191, [ =( add( X, multiply( inverse( X ), Y ) ), multiply(
% 0.42/1.06 'multiplicative_identity', add( X, Y ) ) ) ] )
% 0.42/1.06 , 0, 7, substitution( 0, [ :=( X, add( X, Y ) )] ), substitution( 1, [ :=(
% 0.42/1.06 X, X ), :=( Y, Y )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 19, [ =( add( X, multiply( inverse( X ), Y ) ), add( X, Y ) ) ] )
% 0.42/1.06 , clause( 193, [ =( add( X, multiply( inverse( X ), Y ) ), add( X, Y ) ) ]
% 0.42/1.06 )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.06 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 196, [ =( add( X, Y ), add( X, multiply( inverse( X ), Y ) ) ) ] )
% 0.42/1.06 , clause( 19, [ =( add( X, multiply( inverse( X ), Y ) ), add( X, Y ) ) ]
% 0.42/1.06 )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 198, [ =( add( X, X ), add( X, 'additive_identity' ) ) ] )
% 0.42/1.06 , clause( 12, [ =( multiply( inverse( X ), X ), 'additive_identity' ) ] )
% 0.42/1.06 , 0, clause( 196, [ =( add( X, Y ), add( X, multiply( inverse( X ), Y ) ) )
% 0.42/1.06 ] )
% 0.42/1.06 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.42/1.06 :=( Y, X )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 199, [ =( add( X, X ), X ) ] )
% 0.42/1.06 , clause( 4, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.42/1.06 , 0, clause( 198, [ =( add( X, X ), add( X, 'additive_identity' ) ) ] )
% 0.42/1.06 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.42/1.06 ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 24, [ =( add( X, X ), X ) ] )
% 0.42/1.06 , clause( 199, [ =( add( X, X ), X ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 202, [ =( add( X, Y ), add( X, multiply( inverse( X ), Y ) ) ) ] )
% 0.42/1.06 , clause( 19, [ =( add( X, multiply( inverse( X ), Y ) ), add( X, Y ) ) ]
% 0.42/1.06 )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 204, [ =( add( X, 'multiplicative_identity' ), add( X, inverse( X )
% 0.42/1.06 ) ) ] )
% 0.42/1.06 , clause( 5, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.42/1.06 , 0, clause( 202, [ =( add( X, Y ), add( X, multiply( inverse( X ), Y ) ) )
% 0.42/1.06 ] )
% 0.42/1.06 , 0, 6, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.42/1.06 :=( X, X ), :=( Y, 'multiplicative_identity' )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 205, [ =( add( X, 'multiplicative_identity' ),
% 0.42/1.06 'multiplicative_identity' ) ] )
% 0.42/1.06 , clause( 6, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.42/1.06 , 0, clause( 204, [ =( add( X, 'multiplicative_identity' ), add( X, inverse(
% 0.42/1.06 X ) ) ) ] )
% 0.42/1.06 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.42/1.06 ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 30, [ =( add( X, 'multiplicative_identity' ),
% 0.42/1.06 'multiplicative_identity' ) ] )
% 0.42/1.06 , clause( 205, [ =( add( X, 'multiplicative_identity' ),
% 0.42/1.06 'multiplicative_identity' ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 208, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.42/1.06 multiply( X, Z ) ) ) ] )
% 0.42/1.06 , clause( 3, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.42/1.06 add( Y, Z ) ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 212, [ =( multiply( X, add( Y, 'multiplicative_identity' ) ), add(
% 0.42/1.06 multiply( X, Y ), X ) ) ] )
% 0.42/1.06 , clause( 5, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.42/1.06 , 0, clause( 208, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.42/1.06 multiply( X, Z ) ) ) ] )
% 0.42/1.06 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.42/1.06 :=( Y, Y ), :=( Z, 'multiplicative_identity' )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 213, [ =( multiply( X, 'multiplicative_identity' ), add( multiply(
% 0.42/1.06 X, Y ), X ) ) ] )
% 0.42/1.06 , clause( 30, [ =( add( X, 'multiplicative_identity' ),
% 0.42/1.06 'multiplicative_identity' ) ] )
% 0.42/1.06 , 0, clause( 212, [ =( multiply( X, add( Y, 'multiplicative_identity' ) ),
% 0.42/1.06 add( multiply( X, Y ), X ) ) ] )
% 0.42/1.06 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.42/1.06 :=( Y, Y )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 214, [ =( X, add( multiply( X, Y ), X ) ) ] )
% 0.42/1.06 , clause( 5, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.42/1.06 , 0, clause( 213, [ =( multiply( X, 'multiplicative_identity' ), add(
% 0.42/1.06 multiply( X, Y ), X ) ) ] )
% 0.42/1.06 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.42/1.06 :=( Y, Y )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 215, [ =( add( multiply( X, Y ), X ), X ) ] )
% 0.42/1.06 , clause( 214, [ =( X, add( multiply( X, Y ), X ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 43, [ =( add( multiply( X, Y ), X ), X ) ] )
% 0.42/1.06 , clause( 215, [ =( add( multiply( X, Y ), X ), X ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.06 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 217, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add( X
% 0.42/1.06 , Z ) ) ) ] )
% 0.42/1.06 , clause( 2, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y
% 0.42/1.06 , Z ) ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 219, [ =( add( X, multiply( X, Y ) ), multiply( X, add( X, Y ) ) )
% 0.42/1.06 ] )
% 0.42/1.06 , clause( 24, [ =( add( X, X ), X ) ] )
% 0.42/1.06 , 0, clause( 217, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ),
% 0.42/1.06 add( X, Z ) ) ) ] )
% 0.42/1.06 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.42/1.06 :=( Y, X ), :=( Z, Y )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 222, [ =( multiply( X, add( X, Y ) ), add( X, multiply( X, Y ) ) )
% 0.42/1.06 ] )
% 0.42/1.06 , clause( 219, [ =( add( X, multiply( X, Y ) ), multiply( X, add( X, Y ) )
% 0.42/1.06 ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 44, [ =( multiply( X, add( X, Y ) ), add( X, multiply( X, Y ) ) ) ]
% 0.42/1.06 )
% 0.42/1.06 , clause( 222, [ =( multiply( X, add( X, Y ) ), add( X, multiply( X, Y ) )
% 0.42/1.06 ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.06 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 225, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add( X
% 0.42/1.06 , Z ) ) ) ] )
% 0.42/1.06 , clause( 2, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y
% 0.42/1.06 , Z ) ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 228, [ =( add( X, multiply( Y, X ) ), multiply( add( X, Y ), X ) )
% 0.42/1.06 ] )
% 0.42/1.06 , clause( 24, [ =( add( X, X ), X ) ] )
% 0.42/1.06 , 0, clause( 225, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ),
% 0.42/1.06 add( X, Z ) ) ) ] )
% 0.42/1.06 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.42/1.06 :=( Y, Y ), :=( Z, X )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 231, [ =( multiply( add( X, Y ), X ), add( X, multiply( Y, X ) ) )
% 0.42/1.06 ] )
% 0.42/1.06 , clause( 228, [ =( add( X, multiply( Y, X ) ), multiply( add( X, Y ), X )
% 0.42/1.06 ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 45, [ =( multiply( add( X, Y ), X ), add( X, multiply( Y, X ) ) ) ]
% 0.42/1.06 )
% 0.42/1.06 , clause( 231, [ =( multiply( add( X, Y ), X ), add( X, multiply( Y, X ) )
% 0.42/1.06 ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.06 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 232, [ =( X, add( multiply( X, Y ), X ) ) ] )
% 0.42/1.06 , clause( 43, [ =( add( multiply( X, Y ), X ), X ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 233, [ =( X, add( multiply( Y, X ), X ) ) ] )
% 0.42/1.06 , clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.42/1.06 , 0, clause( 232, [ =( X, add( multiply( X, Y ), X ) ) ] )
% 0.42/1.06 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.42/1.06 :=( X, X ), :=( Y, Y )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 236, [ =( add( multiply( Y, X ), X ), X ) ] )
% 0.42/1.06 , clause( 233, [ =( X, add( multiply( Y, X ), X ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 50, [ =( add( multiply( Y, X ), X ), X ) ] )
% 0.42/1.06 , clause( 236, [ =( add( multiply( Y, X ), X ), X ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.06 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 237, [ =( X, add( multiply( X, Y ), X ) ) ] )
% 0.42/1.06 , clause( 43, [ =( add( multiply( X, Y ), X ), X ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 238, [ =( X, add( X, multiply( X, Y ) ) ) ] )
% 0.42/1.06 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.42/1.06 , 0, clause( 237, [ =( X, add( multiply( X, Y ), X ) ) ] )
% 0.42/1.06 , 0, 2, substitution( 0, [ :=( X, multiply( X, Y ) ), :=( Y, X )] ),
% 0.42/1.06 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 241, [ =( add( X, multiply( X, Y ) ), X ) ] )
% 0.42/1.06 , clause( 238, [ =( X, add( X, multiply( X, Y ) ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 51, [ =( add( X, multiply( X, Y ) ), X ) ] )
% 0.42/1.06 , clause( 241, [ =( add( X, multiply( X, Y ) ), X ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.06 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 242, [ =( Y, add( multiply( X, Y ), Y ) ) ] )
% 0.42/1.06 , clause( 50, [ =( add( multiply( Y, X ), X ), X ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 243, [ =( X, add( X, multiply( Y, X ) ) ) ] )
% 0.42/1.06 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.42/1.06 , 0, clause( 242, [ =( Y, add( multiply( X, Y ), Y ) ) ] )
% 0.42/1.06 , 0, 2, substitution( 0, [ :=( X, multiply( Y, X ) ), :=( Y, X )] ),
% 0.42/1.06 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 246, [ =( add( X, multiply( Y, X ) ), X ) ] )
% 0.42/1.06 , clause( 243, [ =( X, add( X, multiply( Y, X ) ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 65, [ =( add( Y, multiply( X, Y ) ), Y ) ] )
% 0.42/1.06 , clause( 246, [ =( add( X, multiply( Y, X ) ), X ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.06 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 248, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add( X
% 0.42/1.06 , Z ) ) ) ] )
% 0.42/1.06 , clause( 2, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y
% 0.42/1.06 , Z ) ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 253, [ =( add( X, multiply( multiply( X, Y ), Z ) ), multiply( X,
% 0.42/1.06 add( X, Z ) ) ) ] )
% 0.42/1.06 , clause( 51, [ =( add( X, multiply( X, Y ) ), X ) ] )
% 0.42/1.06 , 0, clause( 248, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ),
% 0.42/1.06 add( X, Z ) ) ) ] )
% 0.42/1.06 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.42/1.06 :=( X, X ), :=( Y, multiply( X, Y ) ), :=( Z, Z )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 255, [ =( add( X, multiply( multiply( X, Y ), Z ) ), add( X,
% 0.42/1.06 multiply( X, Z ) ) ) ] )
% 0.42/1.06 , clause( 44, [ =( multiply( X, add( X, Y ) ), add( X, multiply( X, Y ) ) )
% 0.42/1.06 ] )
% 0.42/1.06 , 0, clause( 253, [ =( add( X, multiply( multiply( X, Y ), Z ) ), multiply(
% 0.42/1.06 X, add( X, Z ) ) ) ] )
% 0.42/1.06 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [
% 0.42/1.06 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 256, [ =( add( X, multiply( multiply( X, Y ), Z ) ), X ) ] )
% 0.42/1.06 , clause( 51, [ =( add( X, multiply( X, Y ) ), X ) ] )
% 0.42/1.06 , 0, clause( 255, [ =( add( X, multiply( multiply( X, Y ), Z ) ), add( X,
% 0.42/1.06 multiply( X, Z ) ) ) ] )
% 0.42/1.06 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [
% 0.42/1.06 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 73, [ =( add( X, multiply( multiply( X, Y ), Z ) ), X ) ] )
% 0.42/1.06 , clause( 256, [ =( add( X, multiply( multiply( X, Y ), Z ) ), X ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.42/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 259, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add( X
% 0.42/1.06 , Z ) ) ) ] )
% 0.42/1.06 , clause( 2, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y
% 0.42/1.06 , Z ) ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 265, [ =( add( X, multiply( Y, multiply( multiply( X, Z ), T ) ) )
% 0.42/1.06 , multiply( add( X, Y ), X ) ) ] )
% 0.42/1.06 , clause( 73, [ =( add( X, multiply( multiply( X, Y ), Z ) ), X ) ] )
% 0.42/1.06 , 0, clause( 259, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ),
% 0.42/1.06 add( X, Z ) ) ) ] )
% 0.42/1.06 , 0, 14, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T )] ),
% 0.42/1.06 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, multiply( multiply( X,
% 0.42/1.06 Z ), T ) )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 266, [ =( add( X, multiply( Y, multiply( multiply( X, Z ), T ) ) )
% 0.42/1.06 , add( X, multiply( Y, X ) ) ) ] )
% 0.42/1.06 , clause( 45, [ =( multiply( add( X, Y ), X ), add( X, multiply( Y, X ) ) )
% 0.42/1.06 ] )
% 0.42/1.06 , 0, clause( 265, [ =( add( X, multiply( Y, multiply( multiply( X, Z ), T )
% 0.42/1.06 ) ), multiply( add( X, Y ), X ) ) ] )
% 0.42/1.06 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.42/1.06 :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 267, [ =( add( X, multiply( Y, multiply( multiply( X, Z ), T ) ) )
% 0.42/1.06 , X ) ] )
% 0.42/1.06 , clause( 65, [ =( add( Y, multiply( X, Y ) ), Y ) ] )
% 0.42/1.06 , 0, clause( 266, [ =( add( X, multiply( Y, multiply( multiply( X, Z ), T )
% 0.42/1.06 ) ), add( X, multiply( Y, X ) ) ) ] )
% 0.42/1.06 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.42/1.06 :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 83, [ =( add( X, multiply( T, multiply( multiply( X, Y ), Z ) ) ),
% 0.42/1.06 X ) ] )
% 0.42/1.06 , clause( 267, [ =( add( X, multiply( Y, multiply( multiply( X, Z ), T ) )
% 0.42/1.06 ), X ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Y ), :=( T, Z )] ),
% 0.42/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 269, [ =( X, add( X, multiply( multiply( X, Y ), Z ) ) ) ] )
% 0.42/1.06 , clause( 73, [ =( add( X, multiply( multiply( X, Y ), Z ) ), X ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 270, [ =( X, add( multiply( multiply( X, Y ), Z ), X ) ) ] )
% 0.42/1.06 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.42/1.06 , 0, clause( 269, [ =( X, add( X, multiply( multiply( X, Y ), Z ) ) ) ] )
% 0.42/1.06 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, multiply( multiply( X, Y ), Z
% 0.42/1.06 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 273, [ =( add( multiply( multiply( X, Y ), Z ), X ), X ) ] )
% 0.42/1.06 , clause( 270, [ =( X, add( multiply( multiply( X, Y ), Z ), X ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 85, [ =( add( multiply( multiply( X, Y ), Z ), X ), X ) ] )
% 0.42/1.06 , clause( 273, [ =( add( multiply( multiply( X, Y ), Z ), X ), X ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.42/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 274, [ =( X, add( multiply( multiply( X, Y ), Z ), X ) ) ] )
% 0.42/1.06 , clause( 85, [ =( add( multiply( multiply( X, Y ), Z ), X ), X ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 275, [ =( X, add( multiply( Z, multiply( X, Y ) ), X ) ) ] )
% 0.42/1.06 , clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.42/1.06 , 0, clause( 274, [ =( X, add( multiply( multiply( X, Y ), Z ), X ) ) ] )
% 0.42/1.06 , 0, 3, substitution( 0, [ :=( X, multiply( X, Y ) ), :=( Y, Z )] ),
% 0.42/1.06 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 279, [ =( add( multiply( Y, multiply( X, Z ) ), X ), X ) ] )
% 0.42/1.06 , clause( 275, [ =( X, add( multiply( Z, multiply( X, Y ) ), X ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 88, [ =( add( multiply( Z, multiply( X, Y ) ), X ), X ) ] )
% 0.42/1.06 , clause( 279, [ =( add( multiply( Y, multiply( X, Z ) ), X ), X ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.42/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 284, [ =( add( Y, multiply( X, Z ) ), multiply( add( X, Y ), add( Y
% 0.42/1.06 , Z ) ) ) ] )
% 0.42/1.06 , clause( 17, [ =( multiply( add( Y, X ), add( X, Z ) ), add( X, multiply(
% 0.42/1.06 Y, Z ) ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 289, [ =( add( X, multiply( Y, multiply( multiply( X, Z ), T ) ) )
% 0.42/1.06 , multiply( add( Y, X ), X ) ) ] )
% 0.42/1.06 , clause( 73, [ =( add( X, multiply( multiply( X, Y ), Z ) ), X ) ] )
% 0.42/1.06 , 0, clause( 284, [ =( add( Y, multiply( X, Z ) ), multiply( add( X, Y ),
% 0.42/1.06 add( Y, Z ) ) ) ] )
% 0.42/1.06 , 0, 14, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T )] ),
% 0.42/1.06 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, multiply( multiply( X,
% 0.42/1.06 Z ), T ) )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 290, [ =( X, multiply( add( Y, X ), X ) ) ] )
% 0.42/1.06 , clause( 83, [ =( add( X, multiply( T, multiply( multiply( X, Y ), Z ) ) )
% 0.42/1.06 , X ) ] )
% 0.42/1.06 , 0, clause( 289, [ =( add( X, multiply( Y, multiply( multiply( X, Z ), T )
% 0.42/1.06 ) ), multiply( add( Y, X ), X ) ) ] )
% 0.42/1.06 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 0.42/1.06 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.42/1.06 ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 291, [ =( multiply( add( Y, X ), X ), X ) ] )
% 0.42/1.06 , clause( 290, [ =( X, multiply( add( Y, X ), X ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 97, [ =( multiply( add( T, X ), X ), X ) ] )
% 0.42/1.06 , clause( 291, [ =( multiply( add( Y, X ), X ), X ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, T )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.06 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 293, [ =( Y, multiply( add( X, Y ), Y ) ) ] )
% 0.42/1.06 , clause( 97, [ =( multiply( add( T, X ), X ), X ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, X )] )
% 0.42/1.06 ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 298, [ =( X, multiply( X, X ) ) ] )
% 0.42/1.06 , clause( 88, [ =( add( multiply( Z, multiply( X, Y ) ), X ), X ) ] )
% 0.42/1.06 , 0, clause( 293, [ =( Y, multiply( add( X, Y ), Y ) ) ] )
% 0.42/1.06 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.42/1.06 substitution( 1, [ :=( X, multiply( Y, multiply( X, Z ) ) ), :=( Y, X )] )
% 0.42/1.06 ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 299, [ =( multiply( X, X ), X ) ] )
% 0.42/1.06 , clause( 298, [ =( X, multiply( X, X ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 104, [ =( multiply( Y, Y ), Y ) ] )
% 0.42/1.06 , clause( 299, [ =( multiply( X, X ), X ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, Y )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 300, [ =( X, multiply( X, X ) ) ] )
% 0.42/1.06 , clause( 104, [ =( multiply( Y, Y ), Y ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 301, [ ~( =( a, multiply( a, a ) ) ) ] )
% 0.42/1.06 , clause( 8, [ ~( =( multiply( a, a ), a ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 302, [] )
% 0.42/1.06 , clause( 301, [ ~( =( a, multiply( a, a ) ) ) ] )
% 0.42/1.06 , 0, clause( 300, [ =( X, multiply( X, X ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 122, [] )
% 0.42/1.06 , clause( 302, [] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 end.
% 0.42/1.06
% 0.42/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.06
% 0.42/1.06 Memory use:
% 0.42/1.06
% 0.42/1.06 space for terms: 1501
% 0.42/1.06 space for clauses: 13104
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 clauses generated: 705
% 0.42/1.06 clauses kept: 123
% 0.42/1.06 clauses selected: 36
% 0.42/1.06 clauses deleted: 2
% 0.42/1.06 clauses inuse deleted: 0
% 0.42/1.06
% 0.42/1.06 subsentry: 854
% 0.42/1.06 literals s-matched: 361
% 0.42/1.06 literals matched: 274
% 0.42/1.06 full subsumption: 0
% 0.42/1.06
% 0.42/1.06 checksum: 1968755813
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Bliksem ended
%------------------------------------------------------------------------------