TSTP Solution File: RNG016-6 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : RNG016-6 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n028.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 1.03s 1.39s
% Output : Refutation 1.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : RNG016-6 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : bliksem %s
% 0.12/0.33 % Computer : n028.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 16:11:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.03/1.39 *** allocated 10000 integers for termspace/termends
% 1.03/1.39 *** allocated 10000 integers for clauses
% 1.03/1.39 *** allocated 10000 integers for justifications
% 1.03/1.39 Bliksem 1.12
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 Automatic Strategy Selection
% 1.03/1.39
% 1.03/1.39 Clauses:
% 1.03/1.39 [
% 1.03/1.39 [ =( add( 'additive_identity', X ), X ) ],
% 1.03/1.39 [ =( add( X, 'additive_identity' ), X ) ],
% 1.03/1.39 [ =( multiply( 'additive_identity', X ), 'additive_identity' ) ],
% 1.03/1.39 [ =( multiply( X, 'additive_identity' ), 'additive_identity' ) ],
% 1.03/1.39 [ =( add( 'additive_inverse'( X ), X ), 'additive_identity' ) ],
% 1.03/1.39 [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity' ) ],
% 1.03/1.39 [ =( 'additive_inverse'( 'additive_inverse'( X ) ), X ) ],
% 1.03/1.39 [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ), multiply( X, Z )
% 1.03/1.39 ) ) ],
% 1.03/1.39 [ =( multiply( add( X, Y ), Z ), add( multiply( X, Z ), multiply( Y, Z )
% 1.03/1.39 ) ) ],
% 1.03/1.39 [ =( add( X, Y ), add( Y, X ) ) ],
% 1.03/1.39 [ =( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ],
% 1.03/1.39 [ =( multiply( multiply( X, Y ), Y ), multiply( X, multiply( Y, Y ) ) )
% 1.03/1.39 ],
% 1.03/1.39 [ =( multiply( multiply( X, X ), Y ), multiply( X, multiply( X, Y ) ) )
% 1.03/1.39 ],
% 1.03/1.39 [ =( associator( X, Y, Z ), add( multiply( multiply( X, Y ), Z ),
% 1.03/1.39 'additive_inverse'( multiply( X, multiply( Y, Z ) ) ) ) ) ],
% 1.03/1.39 [ =( commutator( X, Y ), add( multiply( Y, X ), 'additive_inverse'(
% 1.03/1.39 multiply( X, Y ) ) ) ) ],
% 1.03/1.39 [ ~( =( multiply( add( x, 'additive_inverse'( y ) ), z ), add( multiply(
% 1.03/1.39 x, z ), 'additive_inverse'( multiply( y, z ) ) ) ) ) ]
% 1.03/1.39 ] .
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 percentage equality = 1.000000, percentage horn = 1.000000
% 1.03/1.39 This is a pure equality problem
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 Options Used:
% 1.03/1.39
% 1.03/1.39 useres = 1
% 1.03/1.39 useparamod = 1
% 1.03/1.39 useeqrefl = 1
% 1.03/1.39 useeqfact = 1
% 1.03/1.39 usefactor = 1
% 1.03/1.39 usesimpsplitting = 0
% 1.03/1.39 usesimpdemod = 5
% 1.03/1.39 usesimpres = 3
% 1.03/1.39
% 1.03/1.39 resimpinuse = 1000
% 1.03/1.39 resimpclauses = 20000
% 1.03/1.39 substype = eqrewr
% 1.03/1.39 backwardsubs = 1
% 1.03/1.39 selectoldest = 5
% 1.03/1.39
% 1.03/1.39 litorderings [0] = split
% 1.03/1.39 litorderings [1] = extend the termordering, first sorting on arguments
% 1.03/1.39
% 1.03/1.39 termordering = kbo
% 1.03/1.39
% 1.03/1.39 litapriori = 0
% 1.03/1.39 termapriori = 1
% 1.03/1.39 litaposteriori = 0
% 1.03/1.39 termaposteriori = 0
% 1.03/1.39 demodaposteriori = 0
% 1.03/1.39 ordereqreflfact = 0
% 1.03/1.39
% 1.03/1.39 litselect = negord
% 1.03/1.39
% 1.03/1.39 maxweight = 15
% 1.03/1.39 maxdepth = 30000
% 1.03/1.39 maxlength = 115
% 1.03/1.39 maxnrvars = 195
% 1.03/1.39 excuselevel = 1
% 1.03/1.39 increasemaxweight = 1
% 1.03/1.39
% 1.03/1.39 maxselected = 10000000
% 1.03/1.39 maxnrclauses = 10000000
% 1.03/1.39
% 1.03/1.39 showgenerated = 0
% 1.03/1.39 showkept = 0
% 1.03/1.39 showselected = 0
% 1.03/1.39 showdeleted = 0
% 1.03/1.39 showresimp = 1
% 1.03/1.39 showstatus = 2000
% 1.03/1.39
% 1.03/1.39 prologoutput = 1
% 1.03/1.39 nrgoals = 5000000
% 1.03/1.39 totalproof = 1
% 1.03/1.39
% 1.03/1.39 Symbols occurring in the translation:
% 1.03/1.39
% 1.03/1.39 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.03/1.39 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 1.03/1.39 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 1.03/1.39 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.03/1.39 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.03/1.39 'additive_identity' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 1.03/1.39 add [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 1.03/1.39 multiply [42, 2] (w:1, o:48, a:1, s:1, b:0),
% 1.03/1.39 'additive_inverse' [43, 1] (w:1, o:21, a:1, s:1, b:0),
% 1.03/1.39 associator [46, 3] (w:1, o:50, a:1, s:1, b:0),
% 1.03/1.39 commutator [47, 2] (w:1, o:49, a:1, s:1, b:0),
% 1.03/1.39 x [48, 0] (w:1, o:13, a:1, s:1, b:0),
% 1.03/1.39 y [49, 0] (w:1, o:14, a:1, s:1, b:0),
% 1.03/1.39 z [50, 0] (w:1, o:15, a:1, s:1, b:0).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 Starting Search:
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 Bliksems!, er is een bewijs:
% 1.03/1.39 % SZS status Unsatisfiable
% 1.03/1.39 % SZS output start Refutation
% 1.03/1.39
% 1.03/1.39 clause( 1, [ =( add( X, 'additive_identity' ), X ) ] )
% 1.03/1.39 .
% 1.03/1.39 clause( 5, [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity' ) ]
% 1.03/1.39 )
% 1.03/1.39 .
% 1.03/1.39 clause( 8, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply( add( X
% 1.03/1.39 , Y ), Z ) ) ] )
% 1.03/1.39 .
% 1.03/1.39 clause( 9, [ =( add( X, Y ), add( Y, X ) ) ] )
% 1.03/1.39 .
% 1.03/1.39 clause( 10, [ =( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ] )
% 1.03/1.39 .
% 1.03/1.39 clause( 15, [ ~( =( add( multiply( x, z ), 'additive_inverse'( multiply( y
% 1.03/1.39 , z ) ) ), multiply( add( x, 'additive_inverse'( y ) ), z ) ) ) ] )
% 1.03/1.39 .
% 1.03/1.39 clause( 19, [ =( add( add( Y, X ), 'additive_inverse'( X ) ), Y ) ] )
% 1.03/1.39 .
% 1.03/1.39 clause( 27, [ =( add( add( Y, X ), 'additive_inverse'( Y ) ), X ) ] )
% 1.03/1.39 .
% 1.03/1.39 clause( 28, [ =( add( Y, 'additive_inverse'( add( X, Y ) ) ),
% 1.03/1.39 'additive_inverse'( X ) ) ] )
% 1.03/1.39 .
% 1.03/1.39 clause( 37, [ =( add( multiply( add( X, Z ), Y ), 'additive_inverse'(
% 1.03/1.39 multiply( X, Y ) ) ), multiply( Z, Y ) ) ] )
% 1.03/1.39 .
% 1.03/1.39 clause( 41, [ =( multiply( add( X, Z ), Y ), multiply( add( Z, X ), Y ) ) ]
% 1.03/1.39 )
% 1.03/1.39 .
% 1.03/1.39 clause( 43, [ =( add( multiply( Z, Y ), 'additive_inverse'( multiply( add(
% 1.03/1.39 X, Z ), Y ) ) ), 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 1.03/1.39 .
% 1.03/1.39 clause( 46, [ =( add( 'additive_inverse'( Y ), 'additive_inverse'( X ) ),
% 1.03/1.39 'additive_inverse'( add( Y, X ) ) ) ] )
% 1.03/1.39 .
% 1.03/1.39 clause( 47, [ =( 'additive_inverse'( add( Y, X ) ), 'additive_inverse'( add(
% 1.03/1.39 X, Y ) ) ) ] )
% 1.03/1.39 .
% 1.03/1.39 clause( 54, [ =( add( add( add( X, Y ), Z ), 'additive_inverse'( add( Y, X
% 1.03/1.39 ) ) ), Z ) ] )
% 1.03/1.39 .
% 1.03/1.39 clause( 130, [ ~( =( add( 'additive_inverse'( multiply( y, z ) ), multiply(
% 1.03/1.39 x, z ) ), multiply( add( x, 'additive_inverse'( y ) ), z ) ) ) ] )
% 1.03/1.39 .
% 1.03/1.39 clause( 202, [ =( multiply( 'additive_inverse'( add( Y, X ) ), T ),
% 1.03/1.39 'additive_inverse'( multiply( add( X, Y ), T ) ) ) ] )
% 1.03/1.39 .
% 1.03/1.39 clause( 204, [ =( multiply( 'additive_inverse'( Y ), Z ),
% 1.03/1.39 'additive_inverse'( multiply( Y, Z ) ) ) ] )
% 1.03/1.39 .
% 1.03/1.39 clause( 219, [ =( add( 'additive_inverse'( multiply( X, Y ) ), multiply( Z
% 1.03/1.39 , Y ) ), multiply( add( 'additive_inverse'( X ), Z ), Y ) ) ] )
% 1.03/1.39 .
% 1.03/1.39 clause( 551, [ ~( =( multiply( add( x, 'additive_inverse'( y ) ), z ),
% 1.03/1.39 multiply( add( 'additive_inverse'( y ), x ), z ) ) ) ] )
% 1.03/1.39 .
% 1.03/1.39 clause( 552, [] )
% 1.03/1.39 .
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 % SZS output end Refutation
% 1.03/1.39 found a proof!
% 1.03/1.39
% 1.03/1.39 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.03/1.39
% 1.03/1.39 initialclauses(
% 1.03/1.39 [ clause( 554, [ =( add( 'additive_identity', X ), X ) ] )
% 1.03/1.39 , clause( 555, [ =( add( X, 'additive_identity' ), X ) ] )
% 1.03/1.39 , clause( 556, [ =( multiply( 'additive_identity', X ), 'additive_identity'
% 1.03/1.39 ) ] )
% 1.03/1.39 , clause( 557, [ =( multiply( X, 'additive_identity' ), 'additive_identity'
% 1.03/1.39 ) ] )
% 1.03/1.39 , clause( 558, [ =( add( 'additive_inverse'( X ), X ), 'additive_identity'
% 1.03/1.39 ) ] )
% 1.03/1.39 , clause( 559, [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity'
% 1.03/1.39 ) ] )
% 1.03/1.39 , clause( 560, [ =( 'additive_inverse'( 'additive_inverse'( X ) ), X ) ] )
% 1.03/1.39 , clause( 561, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 1.03/1.39 multiply( X, Z ) ) ) ] )
% 1.03/1.39 , clause( 562, [ =( multiply( add( X, Y ), Z ), add( multiply( X, Z ),
% 1.03/1.39 multiply( Y, Z ) ) ) ] )
% 1.03/1.39 , clause( 563, [ =( add( X, Y ), add( Y, X ) ) ] )
% 1.03/1.39 , clause( 564, [ =( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ] )
% 1.03/1.39 , clause( 565, [ =( multiply( multiply( X, Y ), Y ), multiply( X, multiply(
% 1.03/1.39 Y, Y ) ) ) ] )
% 1.03/1.39 , clause( 566, [ =( multiply( multiply( X, X ), Y ), multiply( X, multiply(
% 1.03/1.39 X, Y ) ) ) ] )
% 1.03/1.39 , clause( 567, [ =( associator( X, Y, Z ), add( multiply( multiply( X, Y )
% 1.03/1.39 , Z ), 'additive_inverse'( multiply( X, multiply( Y, Z ) ) ) ) ) ] )
% 1.03/1.39 , clause( 568, [ =( commutator( X, Y ), add( multiply( Y, X ),
% 1.03/1.39 'additive_inverse'( multiply( X, Y ) ) ) ) ] )
% 1.03/1.39 , clause( 569, [ ~( =( multiply( add( x, 'additive_inverse'( y ) ), z ),
% 1.03/1.39 add( multiply( x, z ), 'additive_inverse'( multiply( y, z ) ) ) ) ) ] )
% 1.03/1.39 ] ).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 subsumption(
% 1.03/1.39 clause( 1, [ =( add( X, 'additive_identity' ), X ) ] )
% 1.03/1.39 , clause( 555, [ =( add( X, 'additive_identity' ), X ) ] )
% 1.03/1.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 subsumption(
% 1.03/1.39 clause( 5, [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity' ) ]
% 1.03/1.39 )
% 1.03/1.39 , clause( 559, [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity'
% 1.03/1.39 ) ] )
% 1.03/1.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 eqswap(
% 1.03/1.39 clause( 586, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply( add(
% 1.03/1.39 X, Y ), Z ) ) ] )
% 1.03/1.39 , clause( 562, [ =( multiply( add( X, Y ), Z ), add( multiply( X, Z ),
% 1.03/1.39 multiply( Y, Z ) ) ) ] )
% 1.03/1.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 subsumption(
% 1.03/1.39 clause( 8, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply( add( X
% 1.03/1.39 , Y ), Z ) ) ] )
% 1.03/1.39 , clause( 586, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply(
% 1.03/1.39 add( X, Y ), Z ) ) ] )
% 1.03/1.39 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.03/1.39 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 subsumption(
% 1.03/1.39 clause( 9, [ =( add( X, Y ), add( Y, X ) ) ] )
% 1.03/1.39 , clause( 563, [ =( add( X, Y ), add( Y, X ) ) ] )
% 1.03/1.39 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.03/1.39 )] ) ).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 subsumption(
% 1.03/1.39 clause( 10, [ =( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ] )
% 1.03/1.39 , clause( 564, [ =( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ] )
% 1.03/1.39 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.03/1.39 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 eqswap(
% 1.03/1.39 clause( 620, [ ~( =( add( multiply( x, z ), 'additive_inverse'( multiply( y
% 1.03/1.39 , z ) ) ), multiply( add( x, 'additive_inverse'( y ) ), z ) ) ) ] )
% 1.03/1.39 , clause( 569, [ ~( =( multiply( add( x, 'additive_inverse'( y ) ), z ),
% 1.03/1.39 add( multiply( x, z ), 'additive_inverse'( multiply( y, z ) ) ) ) ) ] )
% 1.03/1.39 , 0, substitution( 0, [] )).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 subsumption(
% 1.03/1.39 clause( 15, [ ~( =( add( multiply( x, z ), 'additive_inverse'( multiply( y
% 1.03/1.39 , z ) ) ), multiply( add( x, 'additive_inverse'( y ) ), z ) ) ) ] )
% 1.03/1.39 , clause( 620, [ ~( =( add( multiply( x, z ), 'additive_inverse'( multiply(
% 1.03/1.39 y, z ) ) ), multiply( add( x, 'additive_inverse'( y ) ), z ) ) ) ] )
% 1.03/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 eqswap(
% 1.03/1.39 clause( 622, [ =( add( add( X, Y ), Z ), add( X, add( Y, Z ) ) ) ] )
% 1.03/1.39 , clause( 10, [ =( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ] )
% 1.03/1.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 paramod(
% 1.03/1.39 clause( 626, [ =( add( add( X, Y ), 'additive_inverse'( Y ) ), add( X,
% 1.03/1.39 'additive_identity' ) ) ] )
% 1.03/1.39 , clause( 5, [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity' )
% 1.03/1.39 ] )
% 1.03/1.39 , 0, clause( 622, [ =( add( add( X, Y ), Z ), add( X, add( Y, Z ) ) ) ] )
% 1.03/1.39 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 1.03/1.39 :=( Y, Y ), :=( Z, 'additive_inverse'( Y ) )] )).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 paramod(
% 1.03/1.39 clause( 627, [ =( add( add( X, Y ), 'additive_inverse'( Y ) ), X ) ] )
% 1.03/1.39 , clause( 1, [ =( add( X, 'additive_identity' ), X ) ] )
% 1.03/1.39 , 0, clause( 626, [ =( add( add( X, Y ), 'additive_inverse'( Y ) ), add( X
% 1.03/1.39 , 'additive_identity' ) ) ] )
% 1.03/1.39 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 1.03/1.39 :=( Y, Y )] )).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 subsumption(
% 1.03/1.39 clause( 19, [ =( add( add( Y, X ), 'additive_inverse'( X ) ), Y ) ] )
% 1.03/1.39 , clause( 627, [ =( add( add( X, Y ), 'additive_inverse'( Y ) ), X ) ] )
% 1.03/1.39 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.03/1.39 )] ) ).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 eqswap(
% 1.03/1.39 clause( 629, [ =( X, add( add( X, Y ), 'additive_inverse'( Y ) ) ) ] )
% 1.03/1.39 , clause( 19, [ =( add( add( Y, X ), 'additive_inverse'( X ) ), Y ) ] )
% 1.03/1.39 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 paramod(
% 1.03/1.39 clause( 631, [ =( X, add( add( Y, X ), 'additive_inverse'( Y ) ) ) ] )
% 1.03/1.39 , clause( 9, [ =( add( X, Y ), add( Y, X ) ) ] )
% 1.03/1.39 , 0, clause( 629, [ =( X, add( add( X, Y ), 'additive_inverse'( Y ) ) ) ]
% 1.03/1.39 )
% 1.03/1.39 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.03/1.39 :=( X, X ), :=( Y, Y )] )).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 eqswap(
% 1.03/1.39 clause( 637, [ =( add( add( Y, X ), 'additive_inverse'( Y ) ), X ) ] )
% 1.03/1.39 , clause( 631, [ =( X, add( add( Y, X ), 'additive_inverse'( Y ) ) ) ] )
% 1.03/1.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 subsumption(
% 1.03/1.39 clause( 27, [ =( add( add( Y, X ), 'additive_inverse'( Y ) ), X ) ] )
% 1.03/1.39 , clause( 637, [ =( add( add( Y, X ), 'additive_inverse'( Y ) ), X ) ] )
% 1.03/1.39 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.03/1.39 )] ) ).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 eqswap(
% 1.03/1.39 clause( 638, [ =( Y, add( add( X, Y ), 'additive_inverse'( X ) ) ) ] )
% 1.03/1.39 , clause( 27, [ =( add( add( Y, X ), 'additive_inverse'( Y ) ), X ) ] )
% 1.03/1.39 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 paramod(
% 1.03/1.39 clause( 641, [ =( 'additive_inverse'( X ), add( Y, 'additive_inverse'( add(
% 1.03/1.39 X, Y ) ) ) ) ] )
% 1.03/1.39 , clause( 27, [ =( add( add( Y, X ), 'additive_inverse'( Y ) ), X ) ] )
% 1.03/1.39 , 0, clause( 638, [ =( Y, add( add( X, Y ), 'additive_inverse'( X ) ) ) ]
% 1.03/1.39 )
% 1.03/1.39 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.03/1.39 :=( X, add( X, Y ) ), :=( Y, 'additive_inverse'( X ) )] )).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 eqswap(
% 1.03/1.39 clause( 642, [ =( add( Y, 'additive_inverse'( add( X, Y ) ) ),
% 1.03/1.39 'additive_inverse'( X ) ) ] )
% 1.03/1.39 , clause( 641, [ =( 'additive_inverse'( X ), add( Y, 'additive_inverse'(
% 1.03/1.39 add( X, Y ) ) ) ) ] )
% 1.03/1.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 subsumption(
% 1.03/1.39 clause( 28, [ =( add( Y, 'additive_inverse'( add( X, Y ) ) ),
% 1.03/1.39 'additive_inverse'( X ) ) ] )
% 1.03/1.39 , clause( 642, [ =( add( Y, 'additive_inverse'( add( X, Y ) ) ),
% 1.03/1.39 'additive_inverse'( X ) ) ] )
% 1.03/1.39 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.03/1.39 )] ) ).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 eqswap(
% 1.03/1.39 clause( 644, [ =( Y, add( add( X, Y ), 'additive_inverse'( X ) ) ) ] )
% 1.03/1.39 , clause( 27, [ =( add( add( Y, X ), 'additive_inverse'( Y ) ), X ) ] )
% 1.03/1.39 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 paramod(
% 1.03/1.39 clause( 647, [ =( multiply( X, Y ), add( multiply( add( Z, X ), Y ),
% 1.03/1.39 'additive_inverse'( multiply( Z, Y ) ) ) ) ] )
% 1.03/1.39 , clause( 8, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply( add(
% 1.03/1.39 X, Y ), Z ) ) ] )
% 1.03/1.39 , 0, clause( 644, [ =( Y, add( add( X, Y ), 'additive_inverse'( X ) ) ) ]
% 1.03/1.39 )
% 1.03/1.39 , 0, 5, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 1.03/1.39 substitution( 1, [ :=( X, multiply( Z, Y ) ), :=( Y, multiply( X, Y ) )] )
% 1.03/1.39 ).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 eqswap(
% 1.03/1.39 clause( 648, [ =( add( multiply( add( Z, X ), Y ), 'additive_inverse'(
% 1.03/1.39 multiply( Z, Y ) ) ), multiply( X, Y ) ) ] )
% 1.03/1.39 , clause( 647, [ =( multiply( X, Y ), add( multiply( add( Z, X ), Y ),
% 1.03/1.39 'additive_inverse'( multiply( Z, Y ) ) ) ) ] )
% 1.03/1.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 subsumption(
% 1.03/1.39 clause( 37, [ =( add( multiply( add( X, Z ), Y ), 'additive_inverse'(
% 1.03/1.39 multiply( X, Y ) ) ), multiply( Z, Y ) ) ] )
% 1.03/1.39 , clause( 648, [ =( add( multiply( add( Z, X ), Y ), 'additive_inverse'(
% 1.03/1.39 multiply( Z, Y ) ) ), multiply( X, Y ) ) ] )
% 1.03/1.39 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 1.03/1.39 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 eqswap(
% 1.03/1.39 clause( 649, [ =( multiply( add( X, Z ), Y ), add( multiply( X, Y ),
% 1.03/1.39 multiply( Z, Y ) ) ) ] )
% 1.03/1.39 , clause( 8, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply( add(
% 1.03/1.39 X, Y ), Z ) ) ] )
% 1.03/1.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 paramod(
% 1.03/1.39 clause( 651, [ =( multiply( add( Y, X ), Z ), add( multiply( X, Z ),
% 1.03/1.39 multiply( Y, Z ) ) ) ] )
% 1.03/1.39 , clause( 9, [ =( add( X, Y ), add( Y, X ) ) ] )
% 1.03/1.39 , 0, clause( 649, [ =( multiply( add( X, Z ), Y ), add( multiply( X, Y ),
% 1.03/1.39 multiply( Z, Y ) ) ) ] )
% 1.03/1.39 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.03/1.39 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 paramod(
% 1.03/1.39 clause( 653, [ =( multiply( add( X, Y ), Z ), multiply( add( Y, X ), Z ) )
% 1.03/1.39 ] )
% 1.03/1.39 , clause( 8, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply( add(
% 1.03/1.39 X, Y ), Z ) ) ] )
% 1.03/1.39 , 0, clause( 651, [ =( multiply( add( Y, X ), Z ), add( multiply( X, Z ),
% 1.03/1.39 multiply( Y, Z ) ) ) ] )
% 1.03/1.39 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 1.03/1.39 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 subsumption(
% 1.03/1.39 clause( 41, [ =( multiply( add( X, Z ), Y ), multiply( add( Z, X ), Y ) ) ]
% 1.03/1.39 )
% 1.03/1.39 , clause( 653, [ =( multiply( add( X, Y ), Z ), multiply( add( Y, X ), Z )
% 1.03/1.39 ) ] )
% 1.03/1.39 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 1.03/1.39 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 eqswap(
% 1.03/1.39 clause( 655, [ =( 'additive_inverse'( Y ), add( X, 'additive_inverse'( add(
% 1.03/1.39 Y, X ) ) ) ) ] )
% 1.03/1.39 , clause( 28, [ =( add( Y, 'additive_inverse'( add( X, Y ) ) ),
% 1.03/1.39 'additive_inverse'( X ) ) ] )
% 1.03/1.39 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 paramod(
% 1.03/1.39 clause( 658, [ =( 'additive_inverse'( multiply( X, Y ) ), add( multiply( Z
% 1.03/1.39 , Y ), 'additive_inverse'( multiply( add( X, Z ), Y ) ) ) ) ] )
% 1.03/1.39 , clause( 8, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply( add(
% 1.03/1.39 X, Y ), Z ) ) ] )
% 1.03/1.39 , 0, clause( 655, [ =( 'additive_inverse'( Y ), add( X, 'additive_inverse'(
% 1.03/1.39 add( Y, X ) ) ) ) ] )
% 1.03/1.39 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 1.03/1.39 substitution( 1, [ :=( X, multiply( Z, Y ) ), :=( Y, multiply( X, Y ) )] )
% 1.03/1.39 ).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 eqswap(
% 1.03/1.39 clause( 659, [ =( add( multiply( Z, Y ), 'additive_inverse'( multiply( add(
% 1.03/1.39 X, Z ), Y ) ) ), 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 1.03/1.39 , clause( 658, [ =( 'additive_inverse'( multiply( X, Y ) ), add( multiply(
% 1.03/1.39 Z, Y ), 'additive_inverse'( multiply( add( X, Z ), Y ) ) ) ) ] )
% 1.03/1.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 subsumption(
% 1.03/1.39 clause( 43, [ =( add( multiply( Z, Y ), 'additive_inverse'( multiply( add(
% 1.03/1.39 X, Z ), Y ) ) ), 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 1.03/1.39 , clause( 659, [ =( add( multiply( Z, Y ), 'additive_inverse'( multiply(
% 1.03/1.39 add( X, Z ), Y ) ) ), 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 1.03/1.39 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.03/1.39 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 eqswap(
% 1.03/1.39 clause( 660, [ =( 'additive_inverse'( Y ), add( X, 'additive_inverse'( add(
% 1.03/1.39 Y, X ) ) ) ) ] )
% 1.03/1.39 , clause( 28, [ =( add( Y, 'additive_inverse'( add( X, Y ) ) ),
% 1.03/1.39 'additive_inverse'( X ) ) ] )
% 1.03/1.39 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 paramod(
% 1.03/1.39 clause( 662, [ =( 'additive_inverse'( add( X, Y ) ), add(
% 1.03/1.39 'additive_inverse'( X ), 'additive_inverse'( Y ) ) ) ] )
% 1.03/1.39 , clause( 27, [ =( add( add( Y, X ), 'additive_inverse'( Y ) ), X ) ] )
% 1.03/1.39 , 0, clause( 660, [ =( 'additive_inverse'( Y ), add( X, 'additive_inverse'(
% 1.03/1.39 add( Y, X ) ) ) ) ] )
% 1.03/1.39 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.03/1.39 :=( X, 'additive_inverse'( X ) ), :=( Y, add( X, Y ) )] )).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 eqswap(
% 1.03/1.39 clause( 663, [ =( add( 'additive_inverse'( X ), 'additive_inverse'( Y ) ),
% 1.03/1.39 'additive_inverse'( add( X, Y ) ) ) ] )
% 1.03/1.39 , clause( 662, [ =( 'additive_inverse'( add( X, Y ) ), add(
% 1.03/1.39 'additive_inverse'( X ), 'additive_inverse'( Y ) ) ) ] )
% 1.03/1.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 subsumption(
% 1.03/1.39 clause( 46, [ =( add( 'additive_inverse'( Y ), 'additive_inverse'( X ) ),
% 1.03/1.39 'additive_inverse'( add( Y, X ) ) ) ] )
% 1.03/1.39 , clause( 663, [ =( add( 'additive_inverse'( X ), 'additive_inverse'( Y ) )
% 1.03/1.39 , 'additive_inverse'( add( X, Y ) ) ) ] )
% 1.03/1.39 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.03/1.39 )] ) ).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 eqswap(
% 1.03/1.39 clause( 665, [ =( 'additive_inverse'( Y ), add( X, 'additive_inverse'( add(
% 1.03/1.39 Y, X ) ) ) ) ] )
% 1.03/1.39 , clause( 28, [ =( add( Y, 'additive_inverse'( add( X, Y ) ) ),
% 1.03/1.39 'additive_inverse'( X ) ) ] )
% 1.03/1.39 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 paramod(
% 1.03/1.39 clause( 670, [ =( 'additive_inverse'( add( X, Y ) ), add(
% 1.03/1.39 'additive_inverse'( Y ), 'additive_inverse'( X ) ) ) ] )
% 1.03/1.39 , clause( 19, [ =( add( add( Y, X ), 'additive_inverse'( X ) ), Y ) ] )
% 1.03/1.39 , 0, clause( 665, [ =( 'additive_inverse'( Y ), add( X, 'additive_inverse'(
% 1.03/1.39 add( Y, X ) ) ) ) ] )
% 1.03/1.39 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.03/1.39 :=( X, 'additive_inverse'( Y ) ), :=( Y, add( X, Y ) )] )).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 paramod(
% 1.03/1.39 clause( 671, [ =( 'additive_inverse'( add( X, Y ) ), 'additive_inverse'(
% 1.03/1.39 add( Y, X ) ) ) ] )
% 1.03/1.39 , clause( 46, [ =( add( 'additive_inverse'( Y ), 'additive_inverse'( X ) )
% 1.03/1.39 , 'additive_inverse'( add( Y, X ) ) ) ] )
% 1.03/1.39 , 0, clause( 670, [ =( 'additive_inverse'( add( X, Y ) ), add(
% 1.03/1.39 'additive_inverse'( Y ), 'additive_inverse'( X ) ) ) ] )
% 1.03/1.39 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.03/1.39 :=( X, X ), :=( Y, Y )] )).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 subsumption(
% 1.03/1.39 clause( 47, [ =( 'additive_inverse'( add( Y, X ) ), 'additive_inverse'( add(
% 1.03/1.39 X, Y ) ) ) ] )
% 1.03/1.39 , clause( 671, [ =( 'additive_inverse'( add( X, Y ) ), 'additive_inverse'(
% 1.03/1.39 add( Y, X ) ) ) ] )
% 1.03/1.39 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.03/1.39 )] ) ).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 eqswap(
% 1.03/1.39 clause( 672, [ =( Y, add( add( X, Y ), 'additive_inverse'( X ) ) ) ] )
% 1.03/1.39 , clause( 27, [ =( add( add( Y, X ), 'additive_inverse'( Y ) ), X ) ] )
% 1.03/1.39 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 paramod(
% 1.03/1.39 clause( 673, [ =( X, add( add( add( Y, Z ), X ), 'additive_inverse'( add( Z
% 1.03/1.39 , Y ) ) ) ) ] )
% 1.03/1.39 , clause( 47, [ =( 'additive_inverse'( add( Y, X ) ), 'additive_inverse'(
% 1.03/1.39 add( X, Y ) ) ) ] )
% 1.03/1.39 , 0, clause( 672, [ =( Y, add( add( X, Y ), 'additive_inverse'( X ) ) ) ]
% 1.03/1.39 )
% 1.03/1.39 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 1.03/1.39 :=( X, add( Y, Z ) ), :=( Y, X )] )).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 eqswap(
% 1.03/1.39 clause( 676, [ =( add( add( add( Y, Z ), X ), 'additive_inverse'( add( Z, Y
% 1.03/1.39 ) ) ), X ) ] )
% 1.03/1.39 , clause( 673, [ =( X, add( add( add( Y, Z ), X ), 'additive_inverse'( add(
% 1.03/1.39 Z, Y ) ) ) ) ] )
% 1.03/1.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 subsumption(
% 1.03/1.39 clause( 54, [ =( add( add( add( X, Y ), Z ), 'additive_inverse'( add( Y, X
% 1.03/1.39 ) ) ), Z ) ] )
% 1.03/1.39 , clause( 676, [ =( add( add( add( Y, Z ), X ), 'additive_inverse'( add( Z
% 1.03/1.39 , Y ) ) ), X ) ] )
% 1.03/1.39 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 1.03/1.39 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 eqswap(
% 1.03/1.39 clause( 677, [ ~( =( multiply( add( x, 'additive_inverse'( y ) ), z ), add(
% 1.03/1.39 multiply( x, z ), 'additive_inverse'( multiply( y, z ) ) ) ) ) ] )
% 1.03/1.39 , clause( 15, [ ~( =( add( multiply( x, z ), 'additive_inverse'( multiply(
% 1.03/1.39 y, z ) ) ), multiply( add( x, 'additive_inverse'( y ) ), z ) ) ) ] )
% 1.03/1.39 , 0, substitution( 0, [] )).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 paramod(
% 1.03/1.39 clause( 679, [ ~( =( multiply( add( x, 'additive_inverse'( y ) ), z ), add(
% 1.03/1.39 'additive_inverse'( multiply( y, z ) ), multiply( x, z ) ) ) ) ] )
% 1.03/1.39 , clause( 9, [ =( add( X, Y ), add( Y, X ) ) ] )
% 1.03/1.39 , 0, clause( 677, [ ~( =( multiply( add( x, 'additive_inverse'( y ) ), z )
% 1.03/1.39 , add( multiply( x, z ), 'additive_inverse'( multiply( y, z ) ) ) ) ) ]
% 1.03/1.39 )
% 1.03/1.39 , 0, 8, substitution( 0, [ :=( X, multiply( x, z ) ), :=( Y,
% 1.03/1.39 'additive_inverse'( multiply( y, z ) ) )] ), substitution( 1, [] )).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 eqswap(
% 1.03/1.39 clause( 685, [ ~( =( add( 'additive_inverse'( multiply( y, z ) ), multiply(
% 1.03/1.39 x, z ) ), multiply( add( x, 'additive_inverse'( y ) ), z ) ) ) ] )
% 1.03/1.39 , clause( 679, [ ~( =( multiply( add( x, 'additive_inverse'( y ) ), z ),
% 1.03/1.39 add( 'additive_inverse'( multiply( y, z ) ), multiply( x, z ) ) ) ) ] )
% 1.03/1.39 , 0, substitution( 0, [] )).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 subsumption(
% 1.03/1.39 clause( 130, [ ~( =( add( 'additive_inverse'( multiply( y, z ) ), multiply(
% 1.03/1.39 x, z ) ), multiply( add( x, 'additive_inverse'( y ) ), z ) ) ) ] )
% 1.03/1.39 , clause( 685, [ ~( =( add( 'additive_inverse'( multiply( y, z ) ),
% 1.03/1.39 multiply( x, z ) ), multiply( add( x, 'additive_inverse'( y ) ), z ) ) )
% 1.03/1.39 ] )
% 1.03/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 eqswap(
% 1.03/1.39 clause( 687, [ =( multiply( Y, Z ), add( multiply( add( X, Y ), Z ),
% 1.03/1.39 'additive_inverse'( multiply( X, Z ) ) ) ) ] )
% 1.03/1.39 , clause( 37, [ =( add( multiply( add( X, Z ), Y ), 'additive_inverse'(
% 1.03/1.39 multiply( X, Y ) ) ), multiply( Z, Y ) ) ] )
% 1.03/1.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 paramod(
% 1.03/1.39 clause( 691, [ =( multiply( 'additive_inverse'( add( X, Y ) ), Z ), add(
% 1.03/1.39 multiply( T, Z ), 'additive_inverse'( multiply( add( add( Y, X ), T ), Z
% 1.03/1.39 ) ) ) ) ] )
% 1.03/1.39 , clause( 54, [ =( add( add( add( X, Y ), Z ), 'additive_inverse'( add( Y,
% 1.03/1.39 X ) ) ), Z ) ] )
% 1.03/1.39 , 0, clause( 687, [ =( multiply( Y, Z ), add( multiply( add( X, Y ), Z ),
% 1.03/1.39 'additive_inverse'( multiply( X, Z ) ) ) ) ] )
% 1.03/1.39 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, T )] ),
% 1.03/1.39 substitution( 1, [ :=( X, add( add( Y, X ), T ) ), :=( Y,
% 1.03/1.39 'additive_inverse'( add( X, Y ) ) ), :=( Z, Z )] )).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 paramod(
% 1.03/1.39 clause( 692, [ =( multiply( 'additive_inverse'( add( X, Y ) ), Z ),
% 1.03/1.39 'additive_inverse'( multiply( add( Y, X ), Z ) ) ) ] )
% 1.03/1.39 , clause( 43, [ =( add( multiply( Z, Y ), 'additive_inverse'( multiply( add(
% 1.03/1.39 X, Z ), Y ) ) ), 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 1.03/1.39 , 0, clause( 691, [ =( multiply( 'additive_inverse'( add( X, Y ) ), Z ),
% 1.03/1.39 add( multiply( T, Z ), 'additive_inverse'( multiply( add( add( Y, X ), T
% 1.03/1.39 ), Z ) ) ) ) ] )
% 1.03/1.39 , 0, 7, substitution( 0, [ :=( X, add( Y, X ) ), :=( Y, Z ), :=( Z, T )] )
% 1.03/1.39 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 1.03/1.39 ).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 subsumption(
% 1.03/1.39 clause( 202, [ =( multiply( 'additive_inverse'( add( Y, X ) ), T ),
% 1.03/1.39 'additive_inverse'( multiply( add( X, Y ), T ) ) ) ] )
% 1.03/1.39 , clause( 692, [ =( multiply( 'additive_inverse'( add( X, Y ) ), Z ),
% 1.03/1.39 'additive_inverse'( multiply( add( Y, X ), Z ) ) ) ] )
% 1.03/1.39 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, T )] ),
% 1.03/1.39 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 eqswap(
% 1.03/1.39 clause( 695, [ =( multiply( Y, Z ), add( multiply( add( X, Y ), Z ),
% 1.03/1.39 'additive_inverse'( multiply( X, Z ) ) ) ) ] )
% 1.03/1.39 , clause( 37, [ =( add( multiply( add( X, Z ), Y ), 'additive_inverse'(
% 1.03/1.39 multiply( X, Y ) ) ), multiply( Z, Y ) ) ] )
% 1.03/1.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 paramod(
% 1.03/1.39 clause( 701, [ =( multiply( 'additive_inverse'( X ), Y ), add( multiply(
% 1.03/1.39 'additive_inverse'( add( Z, X ) ), Y ), 'additive_inverse'( multiply(
% 1.03/1.39 'additive_inverse'( Z ), Y ) ) ) ) ] )
% 1.03/1.39 , clause( 46, [ =( add( 'additive_inverse'( Y ), 'additive_inverse'( X ) )
% 1.03/1.39 , 'additive_inverse'( add( Y, X ) ) ) ] )
% 1.03/1.39 , 0, clause( 695, [ =( multiply( Y, Z ), add( multiply( add( X, Y ), Z ),
% 1.03/1.39 'additive_inverse'( multiply( X, Z ) ) ) ) ] )
% 1.03/1.39 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [
% 1.03/1.39 :=( X, 'additive_inverse'( Z ) ), :=( Y, 'additive_inverse'( X ) ), :=( Z
% 1.03/1.39 , Y )] )).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 paramod(
% 1.03/1.39 clause( 702, [ =( multiply( 'additive_inverse'( X ), Y ), add(
% 1.03/1.39 'additive_inverse'( multiply( add( X, Z ), Y ) ), 'additive_inverse'(
% 1.03/1.39 multiply( 'additive_inverse'( Z ), Y ) ) ) ) ] )
% 1.03/1.39 , clause( 202, [ =( multiply( 'additive_inverse'( add( Y, X ) ), T ),
% 1.03/1.39 'additive_inverse'( multiply( add( X, Y ), T ) ) ) ] )
% 1.03/1.39 , 0, clause( 701, [ =( multiply( 'additive_inverse'( X ), Y ), add(
% 1.03/1.39 multiply( 'additive_inverse'( add( Z, X ) ), Y ), 'additive_inverse'(
% 1.03/1.39 multiply( 'additive_inverse'( Z ), Y ) ) ) ) ] )
% 1.03/1.39 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 1.03/1.39 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 paramod(
% 1.03/1.39 clause( 703, [ =( multiply( 'additive_inverse'( X ), Y ),
% 1.03/1.39 'additive_inverse'( add( multiply( add( X, Z ), Y ), multiply(
% 1.03/1.39 'additive_inverse'( Z ), Y ) ) ) ) ] )
% 1.03/1.39 , clause( 46, [ =( add( 'additive_inverse'( Y ), 'additive_inverse'( X ) )
% 1.03/1.39 , 'additive_inverse'( add( Y, X ) ) ) ] )
% 1.03/1.39 , 0, clause( 702, [ =( multiply( 'additive_inverse'( X ), Y ), add(
% 1.03/1.39 'additive_inverse'( multiply( add( X, Z ), Y ) ), 'additive_inverse'(
% 1.03/1.39 multiply( 'additive_inverse'( Z ), Y ) ) ) ) ] )
% 1.03/1.39 , 0, 5, substitution( 0, [ :=( X, multiply( 'additive_inverse'( Z ), Y ) )
% 1.03/1.39 , :=( Y, multiply( add( X, Z ), Y ) )] ), substitution( 1, [ :=( X, X ),
% 1.03/1.39 :=( Y, Y ), :=( Z, Z )] )).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 paramod(
% 1.03/1.39 clause( 704, [ =( multiply( 'additive_inverse'( X ), Y ),
% 1.03/1.39 'additive_inverse'( multiply( add( add( X, Z ), 'additive_inverse'( Z ) )
% 1.03/1.39 , Y ) ) ) ] )
% 1.03/1.39 , clause( 8, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply( add(
% 1.03/1.39 X, Y ), Z ) ) ] )
% 1.03/1.39 , 0, clause( 703, [ =( multiply( 'additive_inverse'( X ), Y ),
% 1.03/1.39 'additive_inverse'( add( multiply( add( X, Z ), Y ), multiply(
% 1.03/1.39 'additive_inverse'( Z ), Y ) ) ) ) ] )
% 1.03/1.39 , 0, 6, substitution( 0, [ :=( X, add( X, Z ) ), :=( Y, 'additive_inverse'(
% 1.03/1.39 Z ) ), :=( Z, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z
% 1.03/1.39 )] )).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 paramod(
% 1.03/1.39 clause( 705, [ =( multiply( 'additive_inverse'( X ), Y ),
% 1.03/1.39 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 1.03/1.39 , clause( 19, [ =( add( add( Y, X ), 'additive_inverse'( X ) ), Y ) ] )
% 1.03/1.39 , 0, clause( 704, [ =( multiply( 'additive_inverse'( X ), Y ),
% 1.03/1.39 'additive_inverse'( multiply( add( add( X, Z ), 'additive_inverse'( Z ) )
% 1.03/1.39 , Y ) ) ) ] )
% 1.03/1.39 , 0, 7, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 1.03/1.39 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 subsumption(
% 1.03/1.39 clause( 204, [ =( multiply( 'additive_inverse'( Y ), Z ),
% 1.03/1.39 'additive_inverse'( multiply( Y, Z ) ) ) ] )
% 1.03/1.39 , clause( 705, [ =( multiply( 'additive_inverse'( X ), Y ),
% 1.03/1.39 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 1.03/1.39 , substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), permutation( 0, [ ==>( 0, 0
% 1.03/1.39 )] ) ).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 eqswap(
% 1.03/1.39 clause( 708, [ =( multiply( add( X, Z ), Y ), add( multiply( X, Y ),
% 1.03/1.39 multiply( Z, Y ) ) ) ] )
% 1.03/1.39 , clause( 8, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply( add(
% 1.03/1.39 X, Y ), Z ) ) ] )
% 1.03/1.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 paramod(
% 1.03/1.39 clause( 709, [ =( multiply( add( 'additive_inverse'( X ), Y ), Z ), add(
% 1.03/1.39 'additive_inverse'( multiply( X, Z ) ), multiply( Y, Z ) ) ) ] )
% 1.03/1.39 , clause( 204, [ =( multiply( 'additive_inverse'( Y ), Z ),
% 1.03/1.39 'additive_inverse'( multiply( Y, Z ) ) ) ] )
% 1.03/1.39 , 0, clause( 708, [ =( multiply( add( X, Z ), Y ), add( multiply( X, Y ),
% 1.03/1.39 multiply( Z, Y ) ) ) ] )
% 1.03/1.39 , 0, 8, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Z )] ),
% 1.03/1.39 substitution( 1, [ :=( X, 'additive_inverse'( X ) ), :=( Y, Z ), :=( Z, Y
% 1.03/1.39 )] )).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 eqswap(
% 1.03/1.39 clause( 711, [ =( add( 'additive_inverse'( multiply( X, Z ) ), multiply( Y
% 1.03/1.39 , Z ) ), multiply( add( 'additive_inverse'( X ), Y ), Z ) ) ] )
% 1.03/1.39 , clause( 709, [ =( multiply( add( 'additive_inverse'( X ), Y ), Z ), add(
% 1.03/1.39 'additive_inverse'( multiply( X, Z ) ), multiply( Y, Z ) ) ) ] )
% 1.03/1.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 subsumption(
% 1.03/1.39 clause( 219, [ =( add( 'additive_inverse'( multiply( X, Y ) ), multiply( Z
% 1.03/1.39 , Y ) ), multiply( add( 'additive_inverse'( X ), Z ), Y ) ) ] )
% 1.03/1.39 , clause( 711, [ =( add( 'additive_inverse'( multiply( X, Z ) ), multiply(
% 1.03/1.39 Y, Z ) ), multiply( add( 'additive_inverse'( X ), Y ), Z ) ) ] )
% 1.03/1.39 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 1.03/1.39 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 paramod(
% 1.03/1.39 clause( 715, [ ~( =( multiply( add( 'additive_inverse'( y ), x ), z ),
% 1.03/1.39 multiply( add( x, 'additive_inverse'( y ) ), z ) ) ) ] )
% 1.03/1.39 , clause( 219, [ =( add( 'additive_inverse'( multiply( X, Y ) ), multiply(
% 1.03/1.39 Z, Y ) ), multiply( add( 'additive_inverse'( X ), Z ), Y ) ) ] )
% 1.03/1.39 , 0, clause( 130, [ ~( =( add( 'additive_inverse'( multiply( y, z ) ),
% 1.03/1.39 multiply( x, z ) ), multiply( add( x, 'additive_inverse'( y ) ), z ) ) )
% 1.03/1.39 ] )
% 1.03/1.39 , 0, 2, substitution( 0, [ :=( X, y ), :=( Y, z ), :=( Z, x )] ),
% 1.03/1.39 substitution( 1, [] )).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 eqswap(
% 1.03/1.39 clause( 716, [ ~( =( multiply( add( x, 'additive_inverse'( y ) ), z ),
% 1.03/1.39 multiply( add( 'additive_inverse'( y ), x ), z ) ) ) ] )
% 1.03/1.39 , clause( 715, [ ~( =( multiply( add( 'additive_inverse'( y ), x ), z ),
% 1.03/1.39 multiply( add( x, 'additive_inverse'( y ) ), z ) ) ) ] )
% 1.03/1.39 , 0, substitution( 0, [] )).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 subsumption(
% 1.03/1.39 clause( 551, [ ~( =( multiply( add( x, 'additive_inverse'( y ) ), z ),
% 1.03/1.39 multiply( add( 'additive_inverse'( y ), x ), z ) ) ) ] )
% 1.03/1.39 , clause( 716, [ ~( =( multiply( add( x, 'additive_inverse'( y ) ), z ),
% 1.03/1.39 multiply( add( 'additive_inverse'( y ), x ), z ) ) ) ] )
% 1.03/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 eqswap(
% 1.03/1.39 clause( 717, [ ~( =( multiply( add( 'additive_inverse'( y ), x ), z ),
% 1.03/1.39 multiply( add( x, 'additive_inverse'( y ) ), z ) ) ) ] )
% 1.03/1.39 , clause( 551, [ ~( =( multiply( add( x, 'additive_inverse'( y ) ), z ),
% 1.03/1.39 multiply( add( 'additive_inverse'( y ), x ), z ) ) ) ] )
% 1.03/1.39 , 0, substitution( 0, [] )).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 paramod(
% 1.03/1.39 clause( 719, [ ~( =( multiply( add( 'additive_inverse'( y ), x ), z ),
% 1.03/1.39 multiply( add( 'additive_inverse'( y ), x ), z ) ) ) ] )
% 1.03/1.39 , clause( 41, [ =( multiply( add( X, Z ), Y ), multiply( add( Z, X ), Y ) )
% 1.03/1.39 ] )
% 1.03/1.39 , 0, clause( 717, [ ~( =( multiply( add( 'additive_inverse'( y ), x ), z )
% 1.03/1.39 , multiply( add( x, 'additive_inverse'( y ) ), z ) ) ) ] )
% 1.03/1.39 , 0, 8, substitution( 0, [ :=( X, x ), :=( Y, z ), :=( Z,
% 1.03/1.39 'additive_inverse'( y ) )] ), substitution( 1, [] )).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 eqrefl(
% 1.03/1.39 clause( 722, [] )
% 1.03/1.39 , clause( 719, [ ~( =( multiply( add( 'additive_inverse'( y ), x ), z ),
% 1.03/1.39 multiply( add( 'additive_inverse'( y ), x ), z ) ) ) ] )
% 1.03/1.39 , 0, substitution( 0, [] )).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 subsumption(
% 1.03/1.39 clause( 552, [] )
% 1.03/1.39 , clause( 722, [] )
% 1.03/1.39 , substitution( 0, [] ), permutation( 0, [] ) ).
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 end.
% 1.03/1.39
% 1.03/1.39 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.03/1.39
% 1.03/1.39 Memory use:
% 1.03/1.39
% 1.03/1.39 space for terms: 7886
% 1.03/1.39 space for clauses: 67335
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 clauses generated: 68569
% 1.03/1.39 clauses kept: 553
% 1.03/1.39 clauses selected: 282
% 1.03/1.39 clauses deleted: 60
% 1.03/1.39 clauses inuse deleted: 0
% 1.03/1.39
% 1.03/1.39 subsentry: 5501
% 1.03/1.39 literals s-matched: 5127
% 1.03/1.39 literals matched: 5106
% 1.03/1.39 full subsumption: 0
% 1.03/1.39
% 1.03/1.39 checksum: -1185612660
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 Bliksem ended
%------------------------------------------------------------------------------