TSTP Solution File: RNG015-6 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : RNG015-6 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 : Mon Jul 18 20:16:06 EDT 2022
% Result : Unsatisfiable 0.73s 1.43s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG015-6 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n026.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 : Mon May 30 14:32:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.73/1.43 *** allocated 10000 integers for termspace/termends
% 0.73/1.43 *** allocated 10000 integers for clauses
% 0.73/1.43 *** allocated 10000 integers for justifications
% 0.73/1.43 Bliksem 1.12
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 Automatic Strategy Selection
% 0.73/1.43
% 0.73/1.43 Clauses:
% 0.73/1.43 [
% 0.73/1.43 [ =( add( 'additive_identity', X ), X ) ],
% 0.73/1.43 [ =( add( X, 'additive_identity' ), X ) ],
% 0.73/1.43 [ =( multiply( 'additive_identity', X ), 'additive_identity' ) ],
% 0.73/1.43 [ =( multiply( X, 'additive_identity' ), 'additive_identity' ) ],
% 0.73/1.43 [ =( add( 'additive_inverse'( X ), X ), 'additive_identity' ) ],
% 0.73/1.43 [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity' ) ],
% 0.73/1.43 [ =( 'additive_inverse'( 'additive_inverse'( X ) ), X ) ],
% 0.73/1.43 [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ), multiply( X, Z )
% 0.73/1.43 ) ) ],
% 0.73/1.43 [ =( multiply( add( X, Y ), Z ), add( multiply( X, Z ), multiply( Y, Z )
% 0.73/1.43 ) ) ],
% 0.73/1.43 [ =( add( X, Y ), add( Y, X ) ) ],
% 0.73/1.43 [ =( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ],
% 0.73/1.43 [ =( multiply( multiply( X, Y ), Y ), multiply( X, multiply( Y, Y ) ) )
% 0.73/1.43 ],
% 0.73/1.43 [ =( multiply( multiply( X, X ), Y ), multiply( X, multiply( X, Y ) ) )
% 0.73/1.43 ],
% 0.73/1.43 [ =( associator( X, Y, Z ), add( multiply( multiply( X, Y ), Z ),
% 0.73/1.43 'additive_inverse'( multiply( X, multiply( Y, Z ) ) ) ) ) ],
% 0.73/1.43 [ =( commutator( X, Y ), add( multiply( Y, X ), 'additive_inverse'(
% 0.73/1.43 multiply( X, Y ) ) ) ) ],
% 0.73/1.43 [ ~( =( multiply( x, add( y, 'additive_inverse'( z ) ) ), add( multiply(
% 0.73/1.43 x, y ), 'additive_inverse'( multiply( x, z ) ) ) ) ) ]
% 0.73/1.43 ] .
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 percentage equality = 1.000000, percentage horn = 1.000000
% 0.73/1.43 This is a pure equality problem
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 Options Used:
% 0.73/1.43
% 0.73/1.43 useres = 1
% 0.73/1.43 useparamod = 1
% 0.73/1.43 useeqrefl = 1
% 0.73/1.43 useeqfact = 1
% 0.73/1.43 usefactor = 1
% 0.73/1.43 usesimpsplitting = 0
% 0.73/1.43 usesimpdemod = 5
% 0.73/1.43 usesimpres = 3
% 0.73/1.43
% 0.73/1.43 resimpinuse = 1000
% 0.73/1.43 resimpclauses = 20000
% 0.73/1.43 substype = eqrewr
% 0.73/1.43 backwardsubs = 1
% 0.73/1.43 selectoldest = 5
% 0.73/1.43
% 0.73/1.43 litorderings [0] = split
% 0.73/1.43 litorderings [1] = extend the termordering, first sorting on arguments
% 0.73/1.43
% 0.73/1.43 termordering = kbo
% 0.73/1.43
% 0.73/1.43 litapriori = 0
% 0.73/1.43 termapriori = 1
% 0.73/1.43 litaposteriori = 0
% 0.73/1.43 termaposteriori = 0
% 0.73/1.43 demodaposteriori = 0
% 0.73/1.43 ordereqreflfact = 0
% 0.73/1.43
% 0.73/1.43 litselect = negord
% 0.73/1.43
% 0.73/1.43 maxweight = 15
% 0.73/1.43 maxdepth = 30000
% 0.73/1.43 maxlength = 115
% 0.73/1.43 maxnrvars = 195
% 0.73/1.43 excuselevel = 1
% 0.73/1.43 increasemaxweight = 1
% 0.73/1.43
% 0.73/1.43 maxselected = 10000000
% 0.73/1.43 maxnrclauses = 10000000
% 0.73/1.43
% 0.73/1.43 showgenerated = 0
% 0.73/1.43 showkept = 0
% 0.73/1.43 showselected = 0
% 0.73/1.43 showdeleted = 0
% 0.73/1.43 showresimp = 1
% 0.73/1.43 showstatus = 2000
% 0.73/1.43
% 0.73/1.43 prologoutput = 1
% 0.73/1.43 nrgoals = 5000000
% 0.73/1.43 totalproof = 1
% 0.73/1.43
% 0.73/1.43 Symbols occurring in the translation:
% 0.73/1.43
% 0.73/1.43 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.43 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.73/1.43 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.73/1.43 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.43 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.43 'additive_identity' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.73/1.43 add [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.73/1.43 multiply [42, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.73/1.43 'additive_inverse' [43, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.73/1.43 associator [46, 3] (w:1, o:50, a:1, s:1, b:0),
% 0.73/1.43 commutator [47, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.73/1.43 x [48, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.73/1.43 y [49, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.73/1.43 z [50, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 Starting Search:
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 Bliksems!, er is een bewijs:
% 0.73/1.43 % SZS status Unsatisfiable
% 0.73/1.43 % SZS output start Refutation
% 0.73/1.43
% 0.73/1.43 clause( 1, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.73/1.43 .
% 0.73/1.43 clause( 4, [ =( add( 'additive_inverse'( X ), X ), 'additive_identity' ) ]
% 0.73/1.43 )
% 0.73/1.43 .
% 0.73/1.43 clause( 5, [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity' ) ]
% 0.73/1.43 )
% 0.73/1.43 .
% 0.73/1.43 clause( 7, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X, add(
% 0.73/1.43 Y, Z ) ) ) ] )
% 0.73/1.43 .
% 0.73/1.43 clause( 9, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.73/1.43 .
% 0.73/1.43 clause( 10, [ =( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ] )
% 0.73/1.43 .
% 0.73/1.43 clause( 15, [ ~( =( add( multiply( x, y ), 'additive_inverse'( multiply( x
% 0.73/1.43 , z ) ) ), multiply( x, add( y, 'additive_inverse'( z ) ) ) ) ) ] )
% 0.73/1.43 .
% 0.73/1.43 clause( 19, [ =( add( add( Y, X ), 'additive_inverse'( X ) ), Y ) ] )
% 0.73/1.43 .
% 0.73/1.43 clause( 21, [ =( add( add( Y, 'additive_inverse'( X ) ), X ), Y ) ] )
% 0.73/1.43 .
% 0.73/1.43 clause( 23, [ =( multiply( X, add( Y, Z ) ), multiply( X, add( Z, Y ) ) ) ]
% 0.73/1.43 )
% 0.73/1.43 .
% 0.73/1.43 clause( 24, [ =( add( multiply( X, add( Y, Z ) ), 'additive_inverse'(
% 0.73/1.43 multiply( X, Z ) ) ), multiply( X, Y ) ) ] )
% 0.73/1.43 .
% 0.73/1.43 clause( 27, [ =( add( add( Y, X ), 'additive_inverse'( Y ) ), X ) ] )
% 0.73/1.43 .
% 0.73/1.43 clause( 28, [ =( add( Y, 'additive_inverse'( add( X, Y ) ) ),
% 0.73/1.43 'additive_inverse'( X ) ) ] )
% 0.73/1.43 .
% 0.73/1.43 clause( 48, [ =( add( multiply( X, Z ), 'additive_inverse'( multiply( X,
% 0.73/1.43 add( Y, Z ) ) ) ), 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 0.73/1.43 .
% 0.73/1.43 clause( 130, [ ~( =( add( 'additive_inverse'( multiply( x, z ) ), multiply(
% 0.73/1.43 x, y ) ), multiply( x, add( y, 'additive_inverse'( z ) ) ) ) ) ] )
% 0.73/1.43 .
% 0.73/1.43 clause( 200, [ =( add( multiply( Z, X ), 'additive_inverse'( multiply( Z, Y
% 0.73/1.43 ) ) ), multiply( Z, add( X, 'additive_inverse'( Y ) ) ) ) ] )
% 0.73/1.43 .
% 0.73/1.43 clause( 229, [ =( multiply( X, 'additive_inverse'( Y ) ),
% 0.73/1.43 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 0.73/1.43 .
% 0.73/1.43 clause( 236, [ =( add( 'additive_inverse'( multiply( X, Y ) ), multiply( X
% 0.73/1.43 , Z ) ), multiply( X, add( 'additive_inverse'( Y ), Z ) ) ) ] )
% 0.73/1.43 .
% 0.73/1.43 clause( 551, [ ~( =( multiply( x, add( y, 'additive_inverse'( z ) ) ),
% 0.73/1.43 multiply( x, add( 'additive_inverse'( z ), y ) ) ) ) ] )
% 0.73/1.43 .
% 0.73/1.43 clause( 552, [] )
% 0.73/1.43 .
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 % SZS output end Refutation
% 0.73/1.43 found a proof!
% 0.73/1.43
% 0.73/1.43 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.43
% 0.73/1.43 initialclauses(
% 0.73/1.43 [ clause( 554, [ =( add( 'additive_identity', X ), X ) ] )
% 0.73/1.43 , clause( 555, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.73/1.43 , clause( 556, [ =( multiply( 'additive_identity', X ), 'additive_identity'
% 0.73/1.43 ) ] )
% 0.73/1.43 , clause( 557, [ =( multiply( X, 'additive_identity' ), 'additive_identity'
% 0.73/1.43 ) ] )
% 0.73/1.43 , clause( 558, [ =( add( 'additive_inverse'( X ), X ), 'additive_identity'
% 0.73/1.43 ) ] )
% 0.73/1.43 , clause( 559, [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity'
% 0.73/1.43 ) ] )
% 0.73/1.43 , clause( 560, [ =( 'additive_inverse'( 'additive_inverse'( X ) ), X ) ] )
% 0.73/1.43 , clause( 561, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.73/1.43 multiply( X, Z ) ) ) ] )
% 0.73/1.43 , clause( 562, [ =( multiply( add( X, Y ), Z ), add( multiply( X, Z ),
% 0.73/1.43 multiply( Y, Z ) ) ) ] )
% 0.73/1.43 , clause( 563, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.73/1.43 , clause( 564, [ =( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ] )
% 0.73/1.43 , clause( 565, [ =( multiply( multiply( X, Y ), Y ), multiply( X, multiply(
% 0.73/1.43 Y, Y ) ) ) ] )
% 0.73/1.43 , clause( 566, [ =( multiply( multiply( X, X ), Y ), multiply( X, multiply(
% 0.73/1.43 X, Y ) ) ) ] )
% 0.73/1.43 , clause( 567, [ =( associator( X, Y, Z ), add( multiply( multiply( X, Y )
% 0.73/1.43 , Z ), 'additive_inverse'( multiply( X, multiply( Y, Z ) ) ) ) ) ] )
% 0.73/1.43 , clause( 568, [ =( commutator( X, Y ), add( multiply( Y, X ),
% 0.73/1.43 'additive_inverse'( multiply( X, Y ) ) ) ) ] )
% 0.73/1.43 , clause( 569, [ ~( =( multiply( x, add( y, 'additive_inverse'( z ) ) ),
% 0.73/1.43 add( multiply( x, y ), 'additive_inverse'( multiply( x, z ) ) ) ) ) ] )
% 0.73/1.43 ] ).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 subsumption(
% 0.73/1.43 clause( 1, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.73/1.43 , clause( 555, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.73/1.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 subsumption(
% 0.73/1.43 clause( 4, [ =( add( 'additive_inverse'( X ), X ), 'additive_identity' ) ]
% 0.73/1.43 )
% 0.73/1.43 , clause( 558, [ =( add( 'additive_inverse'( X ), X ), 'additive_identity'
% 0.73/1.43 ) ] )
% 0.73/1.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 subsumption(
% 0.73/1.43 clause( 5, [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity' ) ]
% 0.73/1.43 )
% 0.73/1.43 , clause( 559, [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity'
% 0.73/1.43 ) ] )
% 0.73/1.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 eqswap(
% 0.73/1.43 clause( 590, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.73/1.43 add( Y, Z ) ) ) ] )
% 0.73/1.43 , clause( 561, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.73/1.43 multiply( X, Z ) ) ) ] )
% 0.73/1.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 subsumption(
% 0.73/1.43 clause( 7, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X, add(
% 0.73/1.43 Y, Z ) ) ) ] )
% 0.73/1.43 , clause( 590, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X
% 0.73/1.43 , add( Y, Z ) ) ) ] )
% 0.73/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.43 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 subsumption(
% 0.73/1.43 clause( 9, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.73/1.43 , clause( 563, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.73/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.43 )] ) ).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 subsumption(
% 0.73/1.43 clause( 10, [ =( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ] )
% 0.73/1.43 , clause( 564, [ =( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ] )
% 0.73/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.43 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 eqswap(
% 0.73/1.43 clause( 624, [ ~( =( add( multiply( x, y ), 'additive_inverse'( multiply( x
% 0.73/1.43 , z ) ) ), multiply( x, add( y, 'additive_inverse'( z ) ) ) ) ) ] )
% 0.73/1.43 , clause( 569, [ ~( =( multiply( x, add( y, 'additive_inverse'( z ) ) ),
% 0.73/1.43 add( multiply( x, y ), 'additive_inverse'( multiply( x, z ) ) ) ) ) ] )
% 0.73/1.43 , 0, substitution( 0, [] )).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 subsumption(
% 0.73/1.43 clause( 15, [ ~( =( add( multiply( x, y ), 'additive_inverse'( multiply( x
% 0.73/1.43 , z ) ) ), multiply( x, add( y, 'additive_inverse'( z ) ) ) ) ) ] )
% 0.73/1.43 , clause( 624, [ ~( =( add( multiply( x, y ), 'additive_inverse'( multiply(
% 0.73/1.43 x, z ) ) ), multiply( x, add( y, 'additive_inverse'( z ) ) ) ) ) ] )
% 0.73/1.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 eqswap(
% 0.73/1.43 clause( 626, [ =( add( add( X, Y ), Z ), add( X, add( Y, Z ) ) ) ] )
% 0.73/1.43 , clause( 10, [ =( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ] )
% 0.73/1.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 paramod(
% 0.73/1.43 clause( 630, [ =( add( add( X, Y ), 'additive_inverse'( Y ) ), add( X,
% 0.73/1.43 'additive_identity' ) ) ] )
% 0.73/1.43 , clause( 5, [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity' )
% 0.73/1.43 ] )
% 0.73/1.43 , 0, clause( 626, [ =( add( add( X, Y ), Z ), add( X, add( Y, Z ) ) ) ] )
% 0.73/1.43 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.43 :=( Y, Y ), :=( Z, 'additive_inverse'( Y ) )] )).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 paramod(
% 0.73/1.43 clause( 631, [ =( add( add( X, Y ), 'additive_inverse'( Y ) ), X ) ] )
% 0.73/1.43 , clause( 1, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.73/1.43 , 0, clause( 630, [ =( add( add( X, Y ), 'additive_inverse'( Y ) ), add( X
% 0.73/1.43 , 'additive_identity' ) ) ] )
% 0.73/1.43 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.43 :=( Y, Y )] )).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 subsumption(
% 0.73/1.43 clause( 19, [ =( add( add( Y, X ), 'additive_inverse'( X ) ), Y ) ] )
% 0.73/1.43 , clause( 631, [ =( add( add( X, Y ), 'additive_inverse'( Y ) ), X ) ] )
% 0.73/1.43 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.43 )] ) ).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 eqswap(
% 0.73/1.43 clause( 634, [ =( add( add( X, Y ), Z ), add( X, add( Y, Z ) ) ) ] )
% 0.73/1.43 , clause( 10, [ =( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ] )
% 0.73/1.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 paramod(
% 0.73/1.43 clause( 639, [ =( add( add( X, 'additive_inverse'( Y ) ), Y ), add( X,
% 0.73/1.43 'additive_identity' ) ) ] )
% 0.73/1.43 , clause( 4, [ =( add( 'additive_inverse'( X ), X ), 'additive_identity' )
% 0.73/1.43 ] )
% 0.73/1.43 , 0, clause( 634, [ =( add( add( X, Y ), Z ), add( X, add( Y, Z ) ) ) ] )
% 0.73/1.43 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.43 :=( Y, 'additive_inverse'( Y ) ), :=( Z, Y )] )).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 paramod(
% 0.73/1.43 clause( 640, [ =( add( add( X, 'additive_inverse'( Y ) ), Y ), X ) ] )
% 0.73/1.43 , clause( 1, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.73/1.43 , 0, clause( 639, [ =( add( add( X, 'additive_inverse'( Y ) ), Y ), add( X
% 0.73/1.43 , 'additive_identity' ) ) ] )
% 0.73/1.43 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.43 :=( Y, Y )] )).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 subsumption(
% 0.73/1.43 clause( 21, [ =( add( add( Y, 'additive_inverse'( X ) ), X ), Y ) ] )
% 0.73/1.43 , clause( 640, [ =( add( add( X, 'additive_inverse'( Y ) ), Y ), X ) ] )
% 0.73/1.43 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.43 )] ) ).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 eqswap(
% 0.73/1.43 clause( 642, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.73/1.43 multiply( X, Z ) ) ) ] )
% 0.73/1.43 , clause( 7, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.73/1.43 add( Y, Z ) ) ) ] )
% 0.73/1.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 paramod(
% 0.73/1.43 clause( 644, [ =( multiply( X, add( Z, Y ) ), add( multiply( X, Y ),
% 0.73/1.43 multiply( X, Z ) ) ) ] )
% 0.73/1.43 , clause( 9, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.73/1.43 , 0, clause( 642, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.73/1.43 multiply( X, Z ) ) ) ] )
% 0.73/1.43 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.73/1.43 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 paramod(
% 0.73/1.43 clause( 646, [ =( multiply( X, add( Y, Z ) ), multiply( X, add( Z, Y ) ) )
% 0.73/1.43 ] )
% 0.73/1.43 , clause( 7, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.73/1.43 add( Y, Z ) ) ) ] )
% 0.73/1.43 , 0, clause( 644, [ =( multiply( X, add( Z, Y ) ), add( multiply( X, Y ),
% 0.73/1.43 multiply( X, Z ) ) ) ] )
% 0.73/1.43 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.73/1.43 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 subsumption(
% 0.73/1.43 clause( 23, [ =( multiply( X, add( Y, Z ) ), multiply( X, add( Z, Y ) ) ) ]
% 0.73/1.43 )
% 0.73/1.43 , clause( 646, [ =( multiply( X, add( Y, Z ) ), multiply( X, add( Z, Y ) )
% 0.73/1.43 ) ] )
% 0.73/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.43 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 eqswap(
% 0.73/1.43 clause( 648, [ =( X, add( add( X, Y ), 'additive_inverse'( Y ) ) ) ] )
% 0.73/1.43 , clause( 19, [ =( add( add( Y, X ), 'additive_inverse'( X ) ), Y ) ] )
% 0.73/1.43 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 paramod(
% 0.73/1.43 clause( 651, [ =( multiply( X, Y ), add( multiply( X, add( Y, Z ) ),
% 0.73/1.43 'additive_inverse'( multiply( X, Z ) ) ) ) ] )
% 0.73/1.43 , clause( 7, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.73/1.43 add( Y, Z ) ) ) ] )
% 0.73/1.43 , 0, clause( 648, [ =( X, add( add( X, Y ), 'additive_inverse'( Y ) ) ) ]
% 0.73/1.43 )
% 0.73/1.43 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.43 substitution( 1, [ :=( X, multiply( X, Y ) ), :=( Y, multiply( X, Z ) )] )
% 0.73/1.43 ).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 eqswap(
% 0.73/1.43 clause( 652, [ =( add( multiply( X, add( Y, Z ) ), 'additive_inverse'(
% 0.73/1.43 multiply( X, Z ) ) ), multiply( X, Y ) ) ] )
% 0.73/1.43 , clause( 651, [ =( multiply( X, Y ), add( multiply( X, add( Y, Z ) ),
% 0.73/1.43 'additive_inverse'( multiply( X, Z ) ) ) ) ] )
% 0.73/1.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 subsumption(
% 0.73/1.43 clause( 24, [ =( add( multiply( X, add( Y, Z ) ), 'additive_inverse'(
% 0.73/1.43 multiply( X, Z ) ) ), multiply( X, Y ) ) ] )
% 0.73/1.43 , clause( 652, [ =( add( multiply( X, add( Y, Z ) ), 'additive_inverse'(
% 0.73/1.43 multiply( X, Z ) ) ), multiply( X, Y ) ) ] )
% 0.73/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.43 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 eqswap(
% 0.73/1.43 clause( 653, [ =( X, add( add( X, Y ), 'additive_inverse'( Y ) ) ) ] )
% 0.73/1.43 , clause( 19, [ =( add( add( Y, X ), 'additive_inverse'( X ) ), Y ) ] )
% 0.73/1.43 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 paramod(
% 0.73/1.43 clause( 655, [ =( X, add( add( Y, X ), 'additive_inverse'( Y ) ) ) ] )
% 0.73/1.43 , clause( 9, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.73/1.43 , 0, clause( 653, [ =( X, add( add( X, Y ), 'additive_inverse'( Y ) ) ) ]
% 0.73/1.43 )
% 0.73/1.43 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.73/1.43 :=( X, X ), :=( Y, Y )] )).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 eqswap(
% 0.73/1.43 clause( 661, [ =( add( add( Y, X ), 'additive_inverse'( Y ) ), X ) ] )
% 0.73/1.43 , clause( 655, [ =( X, add( add( Y, X ), 'additive_inverse'( Y ) ) ) ] )
% 0.73/1.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 subsumption(
% 0.73/1.43 clause( 27, [ =( add( add( Y, X ), 'additive_inverse'( Y ) ), X ) ] )
% 0.73/1.43 , clause( 661, [ =( add( add( Y, X ), 'additive_inverse'( Y ) ), X ) ] )
% 0.73/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.43 )] ) ).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 eqswap(
% 0.73/1.43 clause( 662, [ =( Y, add( add( X, Y ), 'additive_inverse'( X ) ) ) ] )
% 0.73/1.43 , clause( 27, [ =( add( add( Y, X ), 'additive_inverse'( Y ) ), X ) ] )
% 0.73/1.43 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 paramod(
% 0.73/1.43 clause( 665, [ =( 'additive_inverse'( X ), add( Y, 'additive_inverse'( add(
% 0.73/1.43 X, Y ) ) ) ) ] )
% 0.73/1.43 , clause( 27, [ =( add( add( Y, X ), 'additive_inverse'( Y ) ), X ) ] )
% 0.73/1.43 , 0, clause( 662, [ =( Y, add( add( X, Y ), 'additive_inverse'( X ) ) ) ]
% 0.73/1.43 )
% 0.73/1.43 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.73/1.43 :=( X, add( X, Y ) ), :=( Y, 'additive_inverse'( X ) )] )).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 eqswap(
% 0.73/1.43 clause( 666, [ =( add( Y, 'additive_inverse'( add( X, Y ) ) ),
% 0.73/1.43 'additive_inverse'( X ) ) ] )
% 0.73/1.43 , clause( 665, [ =( 'additive_inverse'( X ), add( Y, 'additive_inverse'(
% 0.73/1.43 add( X, Y ) ) ) ) ] )
% 0.73/1.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 subsumption(
% 0.73/1.43 clause( 28, [ =( add( Y, 'additive_inverse'( add( X, Y ) ) ),
% 0.73/1.43 'additive_inverse'( X ) ) ] )
% 0.73/1.43 , clause( 666, [ =( add( Y, 'additive_inverse'( add( X, Y ) ) ),
% 0.73/1.43 'additive_inverse'( X ) ) ] )
% 0.73/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.43 )] ) ).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 eqswap(
% 0.73/1.43 clause( 668, [ =( 'additive_inverse'( Y ), add( X, 'additive_inverse'( add(
% 0.73/1.43 Y, X ) ) ) ) ] )
% 0.73/1.43 , clause( 28, [ =( add( Y, 'additive_inverse'( add( X, Y ) ) ),
% 0.73/1.43 'additive_inverse'( X ) ) ] )
% 0.73/1.43 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 paramod(
% 0.73/1.43 clause( 671, [ =( 'additive_inverse'( multiply( X, Y ) ), add( multiply( X
% 0.73/1.43 , Z ), 'additive_inverse'( multiply( X, add( Y, Z ) ) ) ) ) ] )
% 0.73/1.43 , clause( 7, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.73/1.43 add( Y, Z ) ) ) ] )
% 0.73/1.43 , 0, clause( 668, [ =( 'additive_inverse'( Y ), add( X, 'additive_inverse'(
% 0.73/1.43 add( Y, X ) ) ) ) ] )
% 0.73/1.43 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.43 substitution( 1, [ :=( X, multiply( X, Z ) ), :=( Y, multiply( X, Y ) )] )
% 0.73/1.43 ).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 eqswap(
% 0.73/1.43 clause( 672, [ =( add( multiply( X, Z ), 'additive_inverse'( multiply( X,
% 0.73/1.43 add( Y, Z ) ) ) ), 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 0.73/1.43 , clause( 671, [ =( 'additive_inverse'( multiply( X, Y ) ), add( multiply(
% 0.73/1.43 X, Z ), 'additive_inverse'( multiply( X, add( Y, Z ) ) ) ) ) ] )
% 0.73/1.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 subsumption(
% 0.73/1.43 clause( 48, [ =( add( multiply( X, Z ), 'additive_inverse'( multiply( X,
% 0.73/1.43 add( Y, Z ) ) ) ), 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 0.73/1.43 , clause( 672, [ =( add( multiply( X, Z ), 'additive_inverse'( multiply( X
% 0.73/1.43 , add( Y, Z ) ) ) ), 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 0.73/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.43 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 eqswap(
% 0.73/1.43 clause( 673, [ ~( =( multiply( x, add( y, 'additive_inverse'( z ) ) ), add(
% 0.73/1.43 multiply( x, y ), 'additive_inverse'( multiply( x, z ) ) ) ) ) ] )
% 0.73/1.43 , clause( 15, [ ~( =( add( multiply( x, y ), 'additive_inverse'( multiply(
% 0.73/1.43 x, z ) ) ), multiply( x, add( y, 'additive_inverse'( z ) ) ) ) ) ] )
% 0.73/1.43 , 0, substitution( 0, [] )).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 paramod(
% 0.73/1.43 clause( 675, [ ~( =( multiply( x, add( y, 'additive_inverse'( z ) ) ), add(
% 0.73/1.43 'additive_inverse'( multiply( x, z ) ), multiply( x, y ) ) ) ) ] )
% 0.73/1.43 , clause( 9, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.73/1.43 , 0, clause( 673, [ ~( =( multiply( x, add( y, 'additive_inverse'( z ) ) )
% 0.73/1.43 , add( multiply( x, y ), 'additive_inverse'( multiply( x, z ) ) ) ) ) ]
% 0.73/1.43 )
% 0.73/1.43 , 0, 8, substitution( 0, [ :=( X, multiply( x, y ) ), :=( Y,
% 0.73/1.43 'additive_inverse'( multiply( x, z ) ) )] ), substitution( 1, [] )).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 eqswap(
% 0.73/1.43 clause( 681, [ ~( =( add( 'additive_inverse'( multiply( x, z ) ), multiply(
% 0.73/1.43 x, y ) ), multiply( x, add( y, 'additive_inverse'( z ) ) ) ) ) ] )
% 0.73/1.43 , clause( 675, [ ~( =( multiply( x, add( y, 'additive_inverse'( z ) ) ),
% 0.73/1.43 add( 'additive_inverse'( multiply( x, z ) ), multiply( x, y ) ) ) ) ] )
% 0.73/1.43 , 0, substitution( 0, [] )).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 subsumption(
% 0.73/1.43 clause( 130, [ ~( =( add( 'additive_inverse'( multiply( x, z ) ), multiply(
% 0.73/1.43 x, y ) ), multiply( x, add( y, 'additive_inverse'( z ) ) ) ) ) ] )
% 0.73/1.43 , clause( 681, [ ~( =( add( 'additive_inverse'( multiply( x, z ) ),
% 0.73/1.43 multiply( x, y ) ), multiply( x, add( y, 'additive_inverse'( z ) ) ) ) )
% 0.73/1.43 ] )
% 0.73/1.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 eqswap(
% 0.73/1.43 clause( 683, [ =( multiply( X, Y ), add( multiply( X, add( Y, Z ) ),
% 0.73/1.43 'additive_inverse'( multiply( X, Z ) ) ) ) ] )
% 0.73/1.43 , clause( 24, [ =( add( multiply( X, add( Y, Z ) ), 'additive_inverse'(
% 0.73/1.43 multiply( X, Z ) ) ), multiply( X, Y ) ) ] )
% 0.73/1.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 paramod(
% 0.73/1.43 clause( 686, [ =( multiply( X, add( Y, 'additive_inverse'( Z ) ) ), add(
% 0.73/1.43 multiply( X, Y ), 'additive_inverse'( multiply( X, Z ) ) ) ) ] )
% 0.73/1.43 , clause( 21, [ =( add( add( Y, 'additive_inverse'( X ) ), X ), Y ) ] )
% 0.73/1.43 , 0, clause( 683, [ =( multiply( X, Y ), add( multiply( X, add( Y, Z ) ),
% 0.73/1.43 'additive_inverse'( multiply( X, Z ) ) ) ) ] )
% 0.73/1.43 , 0, 10, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.73/1.43 :=( X, X ), :=( Y, add( Y, 'additive_inverse'( Z ) ) ), :=( Z, Z )] )
% 0.73/1.43 ).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 eqswap(
% 0.73/1.43 clause( 687, [ =( add( multiply( X, Y ), 'additive_inverse'( multiply( X, Z
% 0.73/1.43 ) ) ), multiply( X, add( Y, 'additive_inverse'( Z ) ) ) ) ] )
% 0.73/1.43 , clause( 686, [ =( multiply( X, add( Y, 'additive_inverse'( Z ) ) ), add(
% 0.73/1.43 multiply( X, Y ), 'additive_inverse'( multiply( X, Z ) ) ) ) ] )
% 0.73/1.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 subsumption(
% 0.73/1.43 clause( 200, [ =( add( multiply( Z, X ), 'additive_inverse'( multiply( Z, Y
% 0.73/1.43 ) ) ), multiply( Z, add( X, 'additive_inverse'( Y ) ) ) ) ] )
% 0.73/1.43 , clause( 687, [ =( add( multiply( X, Y ), 'additive_inverse'( multiply( X
% 0.73/1.43 , Z ) ) ), multiply( X, add( Y, 'additive_inverse'( Z ) ) ) ) ] )
% 0.73/1.43 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.73/1.43 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 paramod(
% 0.73/1.43 clause( 691, [ =( multiply( X, add( Y, 'additive_inverse'( add( Z, Y ) ) )
% 0.73/1.43 ), 'additive_inverse'( multiply( X, Z ) ) ) ] )
% 0.73/1.43 , clause( 200, [ =( add( multiply( Z, X ), 'additive_inverse'( multiply( Z
% 0.73/1.43 , Y ) ) ), multiply( Z, add( X, 'additive_inverse'( Y ) ) ) ) ] )
% 0.73/1.43 , 0, clause( 48, [ =( add( multiply( X, Z ), 'additive_inverse'( multiply(
% 0.73/1.43 X, add( Y, Z ) ) ) ), 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 0.73/1.43 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, add( Z, Y ) ), :=( Z, X )] )
% 0.73/1.43 , substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 paramod(
% 0.73/1.43 clause( 692, [ =( multiply( X, 'additive_inverse'( Z ) ),
% 0.73/1.43 'additive_inverse'( multiply( X, Z ) ) ) ] )
% 0.73/1.43 , clause( 28, [ =( add( Y, 'additive_inverse'( add( X, Y ) ) ),
% 0.73/1.43 'additive_inverse'( X ) ) ] )
% 0.73/1.43 , 0, clause( 691, [ =( multiply( X, add( Y, 'additive_inverse'( add( Z, Y )
% 0.73/1.43 ) ) ), 'additive_inverse'( multiply( X, Z ) ) ) ] )
% 0.73/1.43 , 0, 3, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.73/1.43 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 subsumption(
% 0.73/1.43 clause( 229, [ =( multiply( X, 'additive_inverse'( Y ) ),
% 0.73/1.43 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 0.73/1.43 , clause( 692, [ =( multiply( X, 'additive_inverse'( Z ) ),
% 0.73/1.43 'additive_inverse'( multiply( X, Z ) ) ) ] )
% 0.73/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.73/1.43 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 eqswap(
% 0.73/1.43 clause( 695, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.73/1.43 multiply( X, Z ) ) ) ] )
% 0.73/1.43 , clause( 7, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.73/1.43 add( Y, Z ) ) ) ] )
% 0.73/1.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 paramod(
% 0.73/1.43 clause( 696, [ =( multiply( X, add( 'additive_inverse'( Y ), Z ) ), add(
% 0.73/1.43 'additive_inverse'( multiply( X, Y ) ), multiply( X, Z ) ) ) ] )
% 0.73/1.43 , clause( 229, [ =( multiply( X, 'additive_inverse'( Y ) ),
% 0.73/1.43 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 0.73/1.43 , 0, clause( 695, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.73/1.43 multiply( X, Z ) ) ) ] )
% 0.73/1.43 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.73/1.43 :=( X, X ), :=( Y, 'additive_inverse'( Y ) ), :=( Z, Z )] )).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 eqswap(
% 0.73/1.43 clause( 698, [ =( add( 'additive_inverse'( multiply( X, Y ) ), multiply( X
% 0.73/1.43 , Z ) ), multiply( X, add( 'additive_inverse'( Y ), Z ) ) ) ] )
% 0.73/1.43 , clause( 696, [ =( multiply( X, add( 'additive_inverse'( Y ), Z ) ), add(
% 0.73/1.43 'additive_inverse'( multiply( X, Y ) ), multiply( X, Z ) ) ) ] )
% 0.73/1.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 subsumption(
% 0.73/1.43 clause( 236, [ =( add( 'additive_inverse'( multiply( X, Y ) ), multiply( X
% 0.73/1.43 , Z ) ), multiply( X, add( 'additive_inverse'( Y ), Z ) ) ) ] )
% 0.73/1.43 , clause( 698, [ =( add( 'additive_inverse'( multiply( X, Y ) ), multiply(
% 0.73/1.43 X, Z ) ), multiply( X, add( 'additive_inverse'( Y ), Z ) ) ) ] )
% 0.73/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.43 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 paramod(
% 0.73/1.43 clause( 702, [ ~( =( multiply( x, add( 'additive_inverse'( z ), y ) ),
% 0.73/1.43 multiply( x, add( y, 'additive_inverse'( z ) ) ) ) ) ] )
% 0.73/1.43 , clause( 236, [ =( add( 'additive_inverse'( multiply( X, Y ) ), multiply(
% 0.73/1.43 X, Z ) ), multiply( X, add( 'additive_inverse'( Y ), Z ) ) ) ] )
% 0.73/1.43 , 0, clause( 130, [ ~( =( add( 'additive_inverse'( multiply( x, z ) ),
% 0.73/1.43 multiply( x, y ) ), multiply( x, add( y, 'additive_inverse'( z ) ) ) ) )
% 0.73/1.43 ] )
% 0.73/1.43 , 0, 2, substitution( 0, [ :=( X, x ), :=( Y, z ), :=( Z, y )] ),
% 0.73/1.43 substitution( 1, [] )).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 eqswap(
% 0.73/1.43 clause( 703, [ ~( =( multiply( x, add( y, 'additive_inverse'( z ) ) ),
% 0.73/1.43 multiply( x, add( 'additive_inverse'( z ), y ) ) ) ) ] )
% 0.73/1.43 , clause( 702, [ ~( =( multiply( x, add( 'additive_inverse'( z ), y ) ),
% 0.73/1.43 multiply( x, add( y, 'additive_inverse'( z ) ) ) ) ) ] )
% 0.73/1.43 , 0, substitution( 0, [] )).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 subsumption(
% 0.73/1.43 clause( 551, [ ~( =( multiply( x, add( y, 'additive_inverse'( z ) ) ),
% 0.73/1.43 multiply( x, add( 'additive_inverse'( z ), y ) ) ) ) ] )
% 0.73/1.43 , clause( 703, [ ~( =( multiply( x, add( y, 'additive_inverse'( z ) ) ),
% 0.73/1.43 multiply( x, add( 'additive_inverse'( z ), y ) ) ) ) ] )
% 0.73/1.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 eqswap(
% 0.73/1.43 clause( 704, [ ~( =( multiply( x, add( 'additive_inverse'( z ), y ) ),
% 0.73/1.43 multiply( x, add( y, 'additive_inverse'( z ) ) ) ) ) ] )
% 0.73/1.43 , clause( 551, [ ~( =( multiply( x, add( y, 'additive_inverse'( z ) ) ),
% 0.73/1.43 multiply( x, add( 'additive_inverse'( z ), y ) ) ) ) ] )
% 0.73/1.43 , 0, substitution( 0, [] )).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 paramod(
% 0.73/1.43 clause( 706, [ ~( =( multiply( x, add( 'additive_inverse'( z ), y ) ),
% 0.73/1.43 multiply( x, add( 'additive_inverse'( z ), y ) ) ) ) ] )
% 0.73/1.43 , clause( 23, [ =( multiply( X, add( Y, Z ) ), multiply( X, add( Z, Y ) ) )
% 0.73/1.43 ] )
% 0.73/1.43 , 0, clause( 704, [ ~( =( multiply( x, add( 'additive_inverse'( z ), y ) )
% 0.73/1.43 , multiply( x, add( y, 'additive_inverse'( z ) ) ) ) ) ] )
% 0.73/1.43 , 0, 8, substitution( 0, [ :=( X, x ), :=( Y, y ), :=( Z,
% 0.73/1.43 'additive_inverse'( z ) )] ), substitution( 1, [] )).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 eqrefl(
% 0.73/1.43 clause( 709, [] )
% 0.73/1.43 , clause( 706, [ ~( =( multiply( x, add( 'additive_inverse'( z ), y ) ),
% 0.73/1.43 multiply( x, add( 'additive_inverse'( z ), y ) ) ) ) ] )
% 0.73/1.43 , 0, substitution( 0, [] )).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 subsumption(
% 0.73/1.43 clause( 552, [] )
% 0.73/1.43 , clause( 709, [] )
% 0.73/1.43 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 end.
% 0.73/1.43
% 0.73/1.43 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.43
% 0.73/1.43 Memory use:
% 0.73/1.43
% 0.73/1.43 space for terms: 7886
% 0.73/1.43 space for clauses: 67335
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 clauses generated: 68569
% 0.73/1.43 clauses kept: 553
% 0.73/1.43 clauses selected: 282
% 0.73/1.43 clauses deleted: 60
% 0.73/1.43 clauses inuse deleted: 0
% 0.73/1.43
% 0.73/1.43 subsentry: 5491
% 0.73/1.43 literals s-matched: 5123
% 0.73/1.43 literals matched: 5106
% 0.73/1.43 full subsumption: 0
% 0.73/1.43
% 0.73/1.43 checksum: 284000308
% 0.73/1.43
% 0.73/1.43
% 0.73/1.43 Bliksem ended
%------------------------------------------------------------------------------