TSTP Solution File: RNG018-6 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : RNG018-6 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.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 20:16:07 EDT 2022
% Result : Unsatisfiable 0.78s 1.15s
% Output : Refutation 0.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG018-6 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n021.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 13:17:58 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.78/1.15 *** allocated 10000 integers for termspace/termends
% 0.78/1.15 *** allocated 10000 integers for clauses
% 0.78/1.15 *** allocated 10000 integers for justifications
% 0.78/1.15 Bliksem 1.12
% 0.78/1.15
% 0.78/1.15
% 0.78/1.15 Automatic Strategy Selection
% 0.78/1.15
% 0.78/1.15 Clauses:
% 0.78/1.15 [
% 0.78/1.15 [ =( add( 'additive_identity', X ), X ) ],
% 0.78/1.15 [ =( add( X, 'additive_identity' ), X ) ],
% 0.78/1.15 [ =( multiply( 'additive_identity', X ), 'additive_identity' ) ],
% 0.78/1.15 [ =( multiply( X, 'additive_identity' ), 'additive_identity' ) ],
% 0.78/1.15 [ =( add( 'additive_inverse'( X ), X ), 'additive_identity' ) ],
% 0.78/1.15 [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity' ) ],
% 0.78/1.15 [ =( 'additive_inverse'( 'additive_inverse'( X ) ), X ) ],
% 0.78/1.15 [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ), multiply( X, Z )
% 0.78/1.15 ) ) ],
% 0.78/1.15 [ =( multiply( add( X, Y ), Z ), add( multiply( X, Z ), multiply( Y, Z )
% 0.78/1.15 ) ) ],
% 0.78/1.15 [ =( add( X, Y ), add( Y, X ) ) ],
% 0.78/1.15 [ =( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ],
% 0.78/1.15 [ =( multiply( multiply( X, Y ), Y ), multiply( X, multiply( Y, Y ) ) )
% 0.78/1.15 ],
% 0.78/1.15 [ =( multiply( multiply( X, X ), Y ), multiply( X, multiply( X, Y ) ) )
% 0.78/1.15 ],
% 0.78/1.15 [ =( associator( X, Y, Z ), add( multiply( multiply( X, Y ), Z ),
% 0.78/1.15 'additive_inverse'( multiply( X, multiply( Y, Z ) ) ) ) ) ],
% 0.78/1.15 [ =( commutator( X, Y ), add( multiply( Y, X ), 'additive_inverse'(
% 0.78/1.15 multiply( X, Y ) ) ) ) ],
% 0.78/1.15 [ ~( =( multiply( add( x, y ), 'additive_inverse'( z ) ), add(
% 0.78/1.15 'additive_inverse'( multiply( x, z ) ), 'additive_inverse'( multiply( y,
% 0.78/1.15 z ) ) ) ) ) ]
% 0.78/1.15 ] .
% 0.78/1.15
% 0.78/1.15
% 0.78/1.15 percentage equality = 1.000000, percentage horn = 1.000000
% 0.78/1.15 This is a pure equality problem
% 0.78/1.15
% 0.78/1.15
% 0.78/1.15
% 0.78/1.15 Options Used:
% 0.78/1.15
% 0.78/1.15 useres = 1
% 0.78/1.15 useparamod = 1
% 0.78/1.15 useeqrefl = 1
% 0.78/1.15 useeqfact = 1
% 0.78/1.15 usefactor = 1
% 0.78/1.15 usesimpsplitting = 0
% 0.78/1.15 usesimpdemod = 5
% 0.78/1.15 usesimpres = 3
% 0.78/1.15
% 0.78/1.15 resimpinuse = 1000
% 0.78/1.15 resimpclauses = 20000
% 0.78/1.15 substype = eqrewr
% 0.78/1.15 backwardsubs = 1
% 0.78/1.15 selectoldest = 5
% 0.78/1.15
% 0.78/1.15 litorderings [0] = split
% 0.78/1.15 litorderings [1] = extend the termordering, first sorting on arguments
% 0.78/1.15
% 0.78/1.15 termordering = kbo
% 0.78/1.15
% 0.78/1.15 litapriori = 0
% 0.78/1.15 termapriori = 1
% 0.78/1.15 litaposteriori = 0
% 0.78/1.15 termaposteriori = 0
% 0.78/1.15 demodaposteriori = 0
% 0.78/1.15 ordereqreflfact = 0
% 0.78/1.15
% 0.78/1.15 litselect = negord
% 0.78/1.15
% 0.78/1.15 maxweight = 15
% 0.78/1.15 maxdepth = 30000
% 0.78/1.15 maxlength = 115
% 0.78/1.15 maxnrvars = 195
% 0.78/1.15 excuselevel = 1
% 0.78/1.15 increasemaxweight = 1
% 0.78/1.15
% 0.78/1.15 maxselected = 10000000
% 0.78/1.15 maxnrclauses = 10000000
% 0.78/1.15
% 0.78/1.15 showgenerated = 0
% 0.78/1.15 showkept = 0
% 0.78/1.15 showselected = 0
% 0.78/1.15 showdeleted = 0
% 0.78/1.15 showresimp = 1
% 0.78/1.15 showstatus = 2000
% 0.78/1.15
% 0.78/1.15 prologoutput = 1
% 0.78/1.15 nrgoals = 5000000
% 0.78/1.15 totalproof = 1
% 0.78/1.15
% 0.78/1.15 Symbols occurring in the translation:
% 0.78/1.15
% 0.78/1.15 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.78/1.15 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.78/1.15 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.78/1.15 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.78/1.15 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.78/1.15 'additive_identity' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.78/1.15 add [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.78/1.15 multiply [42, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.78/1.15 'additive_inverse' [43, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.78/1.15 associator [46, 3] (w:1, o:50, a:1, s:1, b:0),
% 0.78/1.15 commutator [47, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.78/1.15 x [48, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.78/1.15 y [49, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.78/1.15 z [50, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.78/1.15
% 0.78/1.15
% 0.78/1.15 Starting Search:
% 0.78/1.15
% 0.78/1.15
% 0.78/1.15 Bliksems!, er is een bewijs:
% 0.78/1.15 % SZS status Unsatisfiable
% 0.78/1.15 % SZS output start Refutation
% 0.78/1.15
% 0.78/1.15 clause( 1, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.78/1.15 .
% 0.78/1.15 clause( 4, [ =( add( 'additive_inverse'( X ), X ), 'additive_identity' ) ]
% 0.78/1.15 )
% 0.78/1.15 .
% 0.78/1.15 clause( 5, [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity' ) ]
% 0.78/1.15 )
% 0.78/1.15 .
% 0.78/1.15 clause( 7, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X, add(
% 0.78/1.15 Y, Z ) ) ) ] )
% 0.78/1.15 .
% 0.78/1.15 clause( 8, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply( add( X
% 0.78/1.15 , Y ), Z ) ) ] )
% 0.78/1.15 .
% 0.78/1.15 clause( 9, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.78/1.15 .
% 0.78/1.15 clause( 10, [ =( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ] )
% 0.78/1.15 .
% 0.78/1.15 clause( 15, [ ~( =( add( 'additive_inverse'( multiply( x, z ) ),
% 0.78/1.15 'additive_inverse'( multiply( y, z ) ) ), multiply( add( x, y ),
% 0.78/1.15 'additive_inverse'( z ) ) ) ) ] )
% 0.78/1.15 .
% 0.78/1.15 clause( 19, [ =( add( add( Y, X ), 'additive_inverse'( X ) ), Y ) ] )
% 0.78/1.15 .
% 0.78/1.15 clause( 21, [ =( add( add( Y, 'additive_inverse'( X ) ), X ), Y ) ] )
% 0.78/1.15 .
% 0.78/1.15 clause( 24, [ =( add( multiply( X, add( Y, Z ) ), 'additive_inverse'(
% 0.78/1.15 multiply( X, Z ) ) ), multiply( X, Y ) ) ] )
% 0.78/1.15 .
% 0.78/1.15 clause( 27, [ =( add( add( Y, X ), 'additive_inverse'( Y ) ), X ) ] )
% 0.78/1.15 .
% 0.78/1.15 clause( 28, [ =( add( Y, 'additive_inverse'( add( X, Y ) ) ),
% 0.78/1.15 'additive_inverse'( X ) ) ] )
% 0.78/1.15 .
% 0.78/1.15 clause( 46, [ =( add( 'additive_inverse'( Y ), 'additive_inverse'( X ) ),
% 0.78/1.15 'additive_inverse'( add( Y, X ) ) ) ] )
% 0.78/1.15 .
% 0.78/1.15 clause( 48, [ =( add( multiply( X, Z ), 'additive_inverse'( multiply( X,
% 0.78/1.15 add( Y, Z ) ) ) ), 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 0.78/1.15 .
% 0.78/1.15 clause( 130, [ ~( =( multiply( add( x, y ), 'additive_inverse'( z ) ),
% 0.78/1.15 'additive_inverse'( multiply( add( x, y ), z ) ) ) ) ] )
% 0.78/1.15 .
% 0.78/1.15 clause( 200, [ =( add( multiply( Z, X ), 'additive_inverse'( multiply( Z, Y
% 0.78/1.15 ) ) ), multiply( Z, add( X, 'additive_inverse'( Y ) ) ) ) ] )
% 0.78/1.15 .
% 0.78/1.15 clause( 229, [ =( multiply( X, 'additive_inverse'( Y ) ),
% 0.78/1.15 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 0.78/1.15 .
% 0.78/1.15 clause( 373, [] )
% 0.78/1.15 .
% 0.78/1.15
% 0.78/1.15
% 0.78/1.15 % SZS output end Refutation
% 0.78/1.15 found a proof!
% 0.78/1.15
% 0.78/1.15 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.78/1.15
% 0.78/1.15 initialclauses(
% 0.78/1.15 [ clause( 375, [ =( add( 'additive_identity', X ), X ) ] )
% 0.78/1.15 , clause( 376, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.78/1.15 , clause( 377, [ =( multiply( 'additive_identity', X ), 'additive_identity'
% 0.78/1.15 ) ] )
% 0.78/1.15 , clause( 378, [ =( multiply( X, 'additive_identity' ), 'additive_identity'
% 0.78/1.15 ) ] )
% 0.78/1.15 , clause( 379, [ =( add( 'additive_inverse'( X ), X ), 'additive_identity'
% 0.78/1.15 ) ] )
% 0.78/1.15 , clause( 380, [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity'
% 0.78/1.15 ) ] )
% 0.78/1.15 , clause( 381, [ =( 'additive_inverse'( 'additive_inverse'( X ) ), X ) ] )
% 0.78/1.15 , clause( 382, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.78/1.15 multiply( X, Z ) ) ) ] )
% 0.78/1.15 , clause( 383, [ =( multiply( add( X, Y ), Z ), add( multiply( X, Z ),
% 0.78/1.15 multiply( Y, Z ) ) ) ] )
% 0.78/1.15 , clause( 384, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.78/1.15 , clause( 385, [ =( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ] )
% 0.78/1.15 , clause( 386, [ =( multiply( multiply( X, Y ), Y ), multiply( X, multiply(
% 0.78/1.15 Y, Y ) ) ) ] )
% 0.78/1.15 , clause( 387, [ =( multiply( multiply( X, X ), Y ), multiply( X, multiply(
% 0.78/1.15 X, Y ) ) ) ] )
% 0.78/1.15 , clause( 388, [ =( associator( X, Y, Z ), add( multiply( multiply( X, Y )
% 0.78/1.15 , Z ), 'additive_inverse'( multiply( X, multiply( Y, Z ) ) ) ) ) ] )
% 0.78/1.15 , clause( 389, [ =( commutator( X, Y ), add( multiply( Y, X ),
% 0.78/1.15 'additive_inverse'( multiply( X, Y ) ) ) ) ] )
% 0.78/1.15 , clause( 390, [ ~( =( multiply( add( x, y ), 'additive_inverse'( z ) ),
% 0.78/1.15 add( 'additive_inverse'( multiply( x, z ) ), 'additive_inverse'( multiply(
% 0.78/1.15 y, z ) ) ) ) ) ] )
% 0.78/1.15 ] ).
% 0.78/1.15
% 0.78/1.15
% 0.78/1.15
% 0.78/1.15 subsumption(
% 0.78/1.15 clause( 1, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.78/1.15 , clause( 376, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.78/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.15
% 0.78/1.15
% 0.78/1.15 subsumption(
% 0.78/1.15 clause( 4, [ =( add( 'additive_inverse'( X ), X ), 'additive_identity' ) ]
% 0.78/1.15 )
% 0.78/1.15 , clause( 379, [ =( add( 'additive_inverse'( X ), X ), 'additive_identity'
% 0.78/1.15 ) ] )
% 0.78/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.15
% 0.78/1.15
% 0.78/1.15 subsumption(
% 0.78/1.15 clause( 5, [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity' ) ]
% 0.78/1.15 )
% 0.78/1.15 , clause( 380, [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity'
% 0.78/1.15 ) ] )
% 0.78/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.15
% 0.78/1.15
% 0.78/1.15 eqswap(
% 0.78/1.15 clause( 411, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.78/1.15 add( Y, Z ) ) ) ] )
% 0.78/1.15 , clause( 382, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.78/1.15 multiply( X, Z ) ) ) ] )
% 0.78/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.15
% 0.78/1.15
% 0.78/1.15 subsumption(
% 0.78/1.15 clause( 7, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X, add(
% 0.78/1.15 Y, Z ) ) ) ] )
% 0.78/1.15 , clause( 411, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X
% 0.78/1.15 , add( Y, Z ) ) ) ] )
% 0.78/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.78/1.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.15
% 0.78/1.15
% 0.78/1.15 eqswap(
% 0.78/1.15 clause( 420, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply( add(
% 0.78/1.15 X, Y ), Z ) ) ] )
% 0.78/1.15 , clause( 383, [ =( multiply( add( X, Y ), Z ), add( multiply( X, Z ),
% 0.78/1.15 multiply( Y, Z ) ) ) ] )
% 0.78/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.15
% 0.78/1.15
% 0.78/1.15 subsumption(
% 0.78/1.15 clause( 8, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply( add( X
% 0.78/1.15 , Y ), Z ) ) ] )
% 0.78/1.15 , clause( 420, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply(
% 0.78/1.15 add( X, Y ), Z ) ) ] )
% 0.78/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.78/1.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.15
% 0.78/1.15
% 0.78/1.15 subsumption(
% 0.78/1.15 clause( 9, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.78/1.15 , clause( 384, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.78/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.15 )] ) ).
% 0.78/1.15
% 0.78/1.15
% 0.78/1.15 subsumption(
% 0.78/1.15 clause( 10, [ =( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ] )
% 0.78/1.15 , clause( 385, [ =( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ] )
% 0.78/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.78/1.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.15
% 0.78/1.15
% 0.78/1.15 eqswap(
% 0.78/1.15 clause( 454, [ ~( =( add( 'additive_inverse'( multiply( x, z ) ),
% 0.78/1.15 'additive_inverse'( multiply( y, z ) ) ), multiply( add( x, y ),
% 0.78/1.15 'additive_inverse'( z ) ) ) ) ] )
% 0.78/1.15 , clause( 390, [ ~( =( multiply( add( x, y ), 'additive_inverse'( z ) ),
% 0.78/1.15 add( 'additive_inverse'( multiply( x, z ) ), 'additive_inverse'( multiply(
% 0.78/1.15 y, z ) ) ) ) ) ] )
% 0.78/1.15 , 0, substitution( 0, [] )).
% 0.78/1.15
% 0.78/1.15
% 0.78/1.15 subsumption(
% 0.78/1.15 clause( 15, [ ~( =( add( 'additive_inverse'( multiply( x, z ) ),
% 0.78/1.15 'additive_inverse'( multiply( y, z ) ) ), multiply( add( x, y ),
% 0.78/1.15 'additive_inverse'( z ) ) ) ) ] )
% 0.78/1.15 , clause( 454, [ ~( =( add( 'additive_inverse'( multiply( x, z ) ),
% 0.78/1.15 'additive_inverse'( multiply( y, z ) ) ), multiply( add( x, y ),
% 0.78/1.15 'additive_inverse'( z ) ) ) ) ] )
% 0.78/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.15
% 0.78/1.15
% 0.78/1.15 eqswap(
% 0.78/1.15 clause( 456, [ =( add( add( X, Y ), Z ), add( X, add( Y, Z ) ) ) ] )
% 0.78/1.15 , clause( 10, [ =( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ] )
% 0.78/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.15
% 0.78/1.15
% 0.78/1.15 paramod(
% 0.78/1.15 clause( 460, [ =( add( add( X, Y ), 'additive_inverse'( Y ) ), add( X,
% 0.78/1.15 'additive_identity' ) ) ] )
% 0.78/1.15 , clause( 5, [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity' )
% 0.78/1.15 ] )
% 0.78/1.15 , 0, clause( 456, [ =( add( add( X, Y ), Z ), add( X, add( Y, Z ) ) ) ] )
% 0.78/1.15 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.78/1.15 :=( Y, Y ), :=( Z, 'additive_inverse'( Y ) )] )).
% 0.78/1.15
% 0.78/1.15
% 0.78/1.15 paramod(
% 0.78/1.15 clause( 461, [ =( add( add( X, Y ), 'additive_inverse'( Y ) ), X ) ] )
% 0.78/1.15 , clause( 1, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.78/1.15 , 0, clause( 460, [ =( add( add( X, Y ), 'additive_inverse'( Y ) ), add( X
% 0.78/1.15 , 'additive_identity' ) ) ] )
% 0.78/1.15 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.78/1.15 :=( Y, Y )] )).
% 0.78/1.15
% 0.78/1.15
% 0.78/1.15 subsumption(
% 0.78/1.15 clause( 19, [ =( add( add( Y, X ), 'additive_inverse'( X ) ), Y ) ] )
% 0.78/1.15 , clause( 461, [ =( add( add( X, Y ), 'additive_inverse'( Y ) ), X ) ] )
% 0.78/1.15 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.15 )] ) ).
% 0.78/1.15
% 0.78/1.15
% 0.78/1.15 eqswap(
% 0.78/1.15 clause( 464, [ =( add( add( X, Y ), Z ), add( X, add( Y, Z ) ) ) ] )
% 0.78/1.15 , clause( 10, [ =( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ] )
% 0.78/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.15
% 0.78/1.15
% 0.78/1.15 paramod(
% 0.78/1.15 clause( 469, [ =( add( add( X, 'additive_inverse'( Y ) ), Y ), add( X,
% 0.78/1.15 'additive_identity' ) ) ] )
% 0.78/1.15 , clause( 4, [ =( add( 'additive_inverse'( X ), X ), 'additive_identity' )
% 0.78/1.15 ] )
% 0.78/1.15 , 0, clause( 464, [ =( add( add( X, Y ), Z ), add( X, add( Y, Z ) ) ) ] )
% 0.78/1.15 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.78/1.15 :=( Y, 'additive_inverse'( Y ) ), :=( Z, Y )] )).
% 0.78/1.15
% 0.78/1.15
% 0.78/1.15 paramod(
% 0.78/1.15 clause( 470, [ =( add( add( X, 'additive_inverse'( Y ) ), Y ), X ) ] )
% 0.78/1.15 , clause( 1, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.78/1.15 , 0, clause( 469, [ =( add( add( X, 'additive_inverse'( Y ) ), Y ), add( X
% 0.78/1.15 , 'additive_identity' ) ) ] )
% 0.78/1.15 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.78/1.15 :=( Y, Y )] )).
% 0.78/1.15
% 0.78/1.15
% 0.78/1.15 subsumption(
% 0.78/1.15 clause( 21, [ =( add( add( Y, 'additive_inverse'( X ) ), X ), Y ) ] )
% 0.78/1.15 , clause( 470, [ =( add( add( X, 'additive_inverse'( Y ) ), Y ), X ) ] )
% 0.78/1.15 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.15 )] ) ).
% 0.78/1.15
% 0.78/1.15
% 0.78/1.15 eqswap(
% 0.78/1.15 clause( 473, [ =( X, add( add( X, Y ), 'additive_inverse'( Y ) ) ) ] )
% 0.78/1.15 , clause( 19, [ =( add( add( Y, X ), 'additive_inverse'( X ) ), Y ) ] )
% 0.78/1.15 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.78/1.15
% 0.78/1.15
% 0.78/1.15 paramod(
% 0.78/1.15 clause( 476, [ =( multiply( X, Y ), add( multiply( X, add( Y, Z ) ),
% 0.78/1.15 'additive_inverse'( multiply( X, Z ) ) ) ) ] )
% 0.78/1.15 , clause( 7, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.78/1.15 add( Y, Z ) ) ) ] )
% 0.78/1.15 , 0, clause( 473, [ =( X, add( add( X, Y ), 'additive_inverse'( Y ) ) ) ]
% 0.78/1.15 )
% 0.78/1.15 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.78/1.15 substitution( 1, [ :=( X, multiply( X, Y ) ), :=( Y, multiply( X, Z ) )] )
% 0.78/1.15 ).
% 0.78/1.15
% 0.78/1.15
% 0.78/1.15 eqswap(
% 0.78/1.15 clause( 477, [ =( add( multiply( X, add( Y, Z ) ), 'additive_inverse'(
% 0.78/1.15 multiply( X, Z ) ) ), multiply( X, Y ) ) ] )
% 0.78/1.15 , clause( 476, [ =( multiply( X, Y ), add( multiply( X, add( Y, Z ) ),
% 0.78/1.15 'additive_inverse'( multiply( X, Z ) ) ) ) ] )
% 0.78/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.15
% 0.78/1.15
% 0.78/1.15 subsumption(
% 0.78/1.15 clause( 24, [ =( add( multiply( X, add( Y, Z ) ), 'additive_inverse'(
% 0.78/1.15 multiply( X, Z ) ) ), multiply( X, Y ) ) ] )
% 0.78/1.16 , clause( 477, [ =( add( multiply( X, add( Y, Z ) ), 'additive_inverse'(
% 0.78/1.16 multiply( X, Z ) ) ), multiply( X, Y ) ) ] )
% 0.78/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.78/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 eqswap(
% 0.78/1.16 clause( 478, [ =( X, add( add( X, Y ), 'additive_inverse'( Y ) ) ) ] )
% 0.78/1.16 , clause( 19, [ =( add( add( Y, X ), 'additive_inverse'( X ) ), Y ) ] )
% 0.78/1.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 paramod(
% 0.78/1.16 clause( 480, [ =( X, add( add( Y, X ), 'additive_inverse'( Y ) ) ) ] )
% 0.78/1.16 , clause( 9, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.78/1.16 , 0, clause( 478, [ =( X, add( add( X, Y ), 'additive_inverse'( Y ) ) ) ]
% 0.78/1.16 )
% 0.78/1.16 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.78/1.16 :=( X, X ), :=( Y, Y )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 eqswap(
% 0.78/1.16 clause( 486, [ =( add( add( Y, X ), 'additive_inverse'( Y ) ), X ) ] )
% 0.78/1.16 , clause( 480, [ =( X, add( add( Y, X ), 'additive_inverse'( Y ) ) ) ] )
% 0.78/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 subsumption(
% 0.78/1.16 clause( 27, [ =( add( add( Y, X ), 'additive_inverse'( Y ) ), X ) ] )
% 0.78/1.16 , clause( 486, [ =( add( add( Y, X ), 'additive_inverse'( Y ) ), X ) ] )
% 0.78/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.16 )] ) ).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 eqswap(
% 0.78/1.16 clause( 487, [ =( Y, add( add( X, Y ), 'additive_inverse'( X ) ) ) ] )
% 0.78/1.16 , clause( 27, [ =( add( add( Y, X ), 'additive_inverse'( Y ) ), X ) ] )
% 0.78/1.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 paramod(
% 0.78/1.16 clause( 490, [ =( 'additive_inverse'( X ), add( Y, 'additive_inverse'( add(
% 0.78/1.16 X, Y ) ) ) ) ] )
% 0.78/1.16 , clause( 27, [ =( add( add( Y, X ), 'additive_inverse'( Y ) ), X ) ] )
% 0.78/1.16 , 0, clause( 487, [ =( Y, add( add( X, Y ), 'additive_inverse'( X ) ) ) ]
% 0.78/1.16 )
% 0.78/1.16 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.78/1.16 :=( X, add( X, Y ) ), :=( Y, 'additive_inverse'( X ) )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 eqswap(
% 0.78/1.16 clause( 491, [ =( add( Y, 'additive_inverse'( add( X, Y ) ) ),
% 0.78/1.16 'additive_inverse'( X ) ) ] )
% 0.78/1.16 , clause( 490, [ =( 'additive_inverse'( X ), add( Y, 'additive_inverse'(
% 0.78/1.16 add( X, Y ) ) ) ) ] )
% 0.78/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 subsumption(
% 0.78/1.16 clause( 28, [ =( add( Y, 'additive_inverse'( add( X, Y ) ) ),
% 0.78/1.16 'additive_inverse'( X ) ) ] )
% 0.78/1.16 , clause( 491, [ =( add( Y, 'additive_inverse'( add( X, Y ) ) ),
% 0.78/1.16 'additive_inverse'( X ) ) ] )
% 0.78/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.16 )] ) ).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 eqswap(
% 0.78/1.16 clause( 492, [ =( 'additive_inverse'( Y ), add( X, 'additive_inverse'( add(
% 0.78/1.16 Y, X ) ) ) ) ] )
% 0.78/1.16 , clause( 28, [ =( add( Y, 'additive_inverse'( add( X, Y ) ) ),
% 0.78/1.16 'additive_inverse'( X ) ) ] )
% 0.78/1.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 paramod(
% 0.78/1.16 clause( 494, [ =( 'additive_inverse'( add( X, Y ) ), add(
% 0.78/1.16 'additive_inverse'( X ), 'additive_inverse'( Y ) ) ) ] )
% 0.78/1.16 , clause( 27, [ =( add( add( Y, X ), 'additive_inverse'( Y ) ), X ) ] )
% 0.78/1.16 , 0, clause( 492, [ =( 'additive_inverse'( Y ), add( X, 'additive_inverse'(
% 0.78/1.16 add( Y, X ) ) ) ) ] )
% 0.78/1.16 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.78/1.16 :=( X, 'additive_inverse'( X ) ), :=( Y, add( X, Y ) )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 eqswap(
% 0.78/1.16 clause( 495, [ =( add( 'additive_inverse'( X ), 'additive_inverse'( Y ) ),
% 0.78/1.16 'additive_inverse'( add( X, Y ) ) ) ] )
% 0.78/1.16 , clause( 494, [ =( 'additive_inverse'( add( X, Y ) ), add(
% 0.78/1.16 'additive_inverse'( X ), 'additive_inverse'( Y ) ) ) ] )
% 0.78/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 subsumption(
% 0.78/1.16 clause( 46, [ =( add( 'additive_inverse'( Y ), 'additive_inverse'( X ) ),
% 0.78/1.16 'additive_inverse'( add( Y, X ) ) ) ] )
% 0.78/1.16 , clause( 495, [ =( add( 'additive_inverse'( X ), 'additive_inverse'( Y ) )
% 0.78/1.16 , 'additive_inverse'( add( X, Y ) ) ) ] )
% 0.78/1.16 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.16 )] ) ).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 eqswap(
% 0.78/1.16 clause( 497, [ =( 'additive_inverse'( Y ), add( X, 'additive_inverse'( add(
% 0.78/1.16 Y, X ) ) ) ) ] )
% 0.78/1.16 , clause( 28, [ =( add( Y, 'additive_inverse'( add( X, Y ) ) ),
% 0.78/1.16 'additive_inverse'( X ) ) ] )
% 0.78/1.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 paramod(
% 0.78/1.16 clause( 500, [ =( 'additive_inverse'( multiply( X, Y ) ), add( multiply( X
% 0.78/1.16 , Z ), 'additive_inverse'( multiply( X, add( Y, Z ) ) ) ) ) ] )
% 0.78/1.16 , clause( 7, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.78/1.16 add( Y, Z ) ) ) ] )
% 0.78/1.16 , 0, clause( 497, [ =( 'additive_inverse'( Y ), add( X, 'additive_inverse'(
% 0.78/1.16 add( Y, X ) ) ) ) ] )
% 0.78/1.16 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.78/1.16 substitution( 1, [ :=( X, multiply( X, Z ) ), :=( Y, multiply( X, Y ) )] )
% 0.78/1.16 ).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 eqswap(
% 0.78/1.16 clause( 501, [ =( add( multiply( X, Z ), 'additive_inverse'( multiply( X,
% 0.78/1.16 add( Y, Z ) ) ) ), 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 0.78/1.16 , clause( 500, [ =( 'additive_inverse'( multiply( X, Y ) ), add( multiply(
% 0.78/1.16 X, Z ), 'additive_inverse'( multiply( X, add( Y, Z ) ) ) ) ) ] )
% 0.78/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 subsumption(
% 0.78/1.16 clause( 48, [ =( add( multiply( X, Z ), 'additive_inverse'( multiply( X,
% 0.78/1.16 add( Y, Z ) ) ) ), 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 0.78/1.16 , clause( 501, [ =( add( multiply( X, Z ), 'additive_inverse'( multiply( X
% 0.78/1.16 , add( Y, Z ) ) ) ), 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 0.78/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.78/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 paramod(
% 0.78/1.16 clause( 505, [ ~( =( 'additive_inverse'( add( multiply( x, z ), multiply( y
% 0.78/1.16 , z ) ) ), multiply( add( x, y ), 'additive_inverse'( z ) ) ) ) ] )
% 0.78/1.16 , clause( 46, [ =( add( 'additive_inverse'( Y ), 'additive_inverse'( X ) )
% 0.78/1.16 , 'additive_inverse'( add( Y, X ) ) ) ] )
% 0.78/1.16 , 0, clause( 15, [ ~( =( add( 'additive_inverse'( multiply( x, z ) ),
% 0.78/1.16 'additive_inverse'( multiply( y, z ) ) ), multiply( add( x, y ),
% 0.78/1.16 'additive_inverse'( z ) ) ) ) ] )
% 0.78/1.16 , 0, 2, substitution( 0, [ :=( X, multiply( y, z ) ), :=( Y, multiply( x, z
% 0.78/1.16 ) )] ), substitution( 1, [] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 paramod(
% 0.78/1.16 clause( 506, [ ~( =( 'additive_inverse'( multiply( add( x, y ), z ) ),
% 0.78/1.16 multiply( add( x, y ), 'additive_inverse'( z ) ) ) ) ] )
% 0.78/1.16 , clause( 8, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply( add(
% 0.78/1.16 X, Y ), Z ) ) ] )
% 0.78/1.16 , 0, clause( 505, [ ~( =( 'additive_inverse'( add( multiply( x, z ),
% 0.78/1.16 multiply( y, z ) ) ), multiply( add( x, y ), 'additive_inverse'( z ) ) )
% 0.78/1.16 ) ] )
% 0.78/1.16 , 0, 3, substitution( 0, [ :=( X, x ), :=( Y, y ), :=( Z, z )] ),
% 0.78/1.16 substitution( 1, [] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 eqswap(
% 0.78/1.16 clause( 507, [ ~( =( multiply( add( x, y ), 'additive_inverse'( z ) ),
% 0.78/1.16 'additive_inverse'( multiply( add( x, y ), z ) ) ) ) ] )
% 0.78/1.16 , clause( 506, [ ~( =( 'additive_inverse'( multiply( add( x, y ), z ) ),
% 0.78/1.16 multiply( add( x, y ), 'additive_inverse'( z ) ) ) ) ] )
% 0.78/1.16 , 0, substitution( 0, [] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 subsumption(
% 0.78/1.16 clause( 130, [ ~( =( multiply( add( x, y ), 'additive_inverse'( z ) ),
% 0.78/1.16 'additive_inverse'( multiply( add( x, y ), z ) ) ) ) ] )
% 0.78/1.16 , clause( 507, [ ~( =( multiply( add( x, y ), 'additive_inverse'( z ) ),
% 0.78/1.16 'additive_inverse'( multiply( add( x, y ), z ) ) ) ) ] )
% 0.78/1.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 eqswap(
% 0.78/1.16 clause( 509, [ =( multiply( X, Y ), add( multiply( X, add( Y, Z ) ),
% 0.78/1.16 'additive_inverse'( multiply( X, Z ) ) ) ) ] )
% 0.78/1.16 , clause( 24, [ =( add( multiply( X, add( Y, Z ) ), 'additive_inverse'(
% 0.78/1.16 multiply( X, Z ) ) ), multiply( X, Y ) ) ] )
% 0.78/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 paramod(
% 0.78/1.16 clause( 512, [ =( multiply( X, add( Y, 'additive_inverse'( Z ) ) ), add(
% 0.78/1.16 multiply( X, Y ), 'additive_inverse'( multiply( X, Z ) ) ) ) ] )
% 0.78/1.16 , clause( 21, [ =( add( add( Y, 'additive_inverse'( X ) ), X ), Y ) ] )
% 0.78/1.16 , 0, clause( 509, [ =( multiply( X, Y ), add( multiply( X, add( Y, Z ) ),
% 0.78/1.16 'additive_inverse'( multiply( X, Z ) ) ) ) ] )
% 0.78/1.16 , 0, 10, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.78/1.16 :=( X, X ), :=( Y, add( Y, 'additive_inverse'( Z ) ) ), :=( Z, Z )] )
% 0.78/1.16 ).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 eqswap(
% 0.78/1.16 clause( 513, [ =( add( multiply( X, Y ), 'additive_inverse'( multiply( X, Z
% 0.78/1.16 ) ) ), multiply( X, add( Y, 'additive_inverse'( Z ) ) ) ) ] )
% 0.78/1.16 , clause( 512, [ =( multiply( X, add( Y, 'additive_inverse'( Z ) ) ), add(
% 0.78/1.16 multiply( X, Y ), 'additive_inverse'( multiply( X, Z ) ) ) ) ] )
% 0.78/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 subsumption(
% 0.78/1.16 clause( 200, [ =( add( multiply( Z, X ), 'additive_inverse'( multiply( Z, Y
% 0.78/1.16 ) ) ), multiply( Z, add( X, 'additive_inverse'( Y ) ) ) ) ] )
% 0.78/1.16 , clause( 513, [ =( add( multiply( X, Y ), 'additive_inverse'( multiply( X
% 0.78/1.16 , Z ) ) ), multiply( X, add( Y, 'additive_inverse'( Z ) ) ) ) ] )
% 0.78/1.16 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.78/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 paramod(
% 0.78/1.16 clause( 517, [ =( multiply( X, add( Y, 'additive_inverse'( add( Z, Y ) ) )
% 0.78/1.16 ), 'additive_inverse'( multiply( X, Z ) ) ) ] )
% 0.78/1.16 , clause( 200, [ =( add( multiply( Z, X ), 'additive_inverse'( multiply( Z
% 0.78/1.16 , Y ) ) ), multiply( Z, add( X, 'additive_inverse'( Y ) ) ) ) ] )
% 0.78/1.16 , 0, clause( 48, [ =( add( multiply( X, Z ), 'additive_inverse'( multiply(
% 0.78/1.16 X, add( Y, Z ) ) ) ), 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 0.78/1.16 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, add( Z, Y ) ), :=( Z, X )] )
% 0.78/1.16 , substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 paramod(
% 0.78/1.16 clause( 518, [ =( multiply( X, 'additive_inverse'( Z ) ),
% 0.78/1.16 'additive_inverse'( multiply( X, Z ) ) ) ] )
% 0.78/1.16 , clause( 28, [ =( add( Y, 'additive_inverse'( add( X, Y ) ) ),
% 0.78/1.16 'additive_inverse'( X ) ) ] )
% 0.78/1.16 , 0, clause( 517, [ =( multiply( X, add( Y, 'additive_inverse'( add( Z, Y )
% 0.78/1.16 ) ) ), 'additive_inverse'( multiply( X, Z ) ) ) ] )
% 0.78/1.16 , 0, 3, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.78/1.16 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 subsumption(
% 0.78/1.16 clause( 229, [ =( multiply( X, 'additive_inverse'( Y ) ),
% 0.78/1.16 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 0.78/1.16 , clause( 518, [ =( multiply( X, 'additive_inverse'( Z ) ),
% 0.78/1.16 'additive_inverse'( multiply( X, Z ) ) ) ] )
% 0.78/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.78/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 paramod(
% 0.78/1.16 clause( 522, [ ~( =( 'additive_inverse'( multiply( add( x, y ), z ) ),
% 0.78/1.16 'additive_inverse'( multiply( add( x, y ), z ) ) ) ) ] )
% 0.78/1.16 , clause( 229, [ =( multiply( X, 'additive_inverse'( Y ) ),
% 0.78/1.16 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 0.78/1.16 , 0, clause( 130, [ ~( =( multiply( add( x, y ), 'additive_inverse'( z ) )
% 0.78/1.16 , 'additive_inverse'( multiply( add( x, y ), z ) ) ) ) ] )
% 0.78/1.16 , 0, 2, substitution( 0, [ :=( X, add( x, y ) ), :=( Y, z )] ),
% 0.78/1.16 substitution( 1, [] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 eqrefl(
% 0.78/1.16 clause( 523, [] )
% 0.78/1.16 , clause( 522, [ ~( =( 'additive_inverse'( multiply( add( x, y ), z ) ),
% 0.78/1.16 'additive_inverse'( multiply( add( x, y ), z ) ) ) ) ] )
% 0.78/1.16 , 0, substitution( 0, [] )).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 subsumption(
% 0.78/1.16 clause( 373, [] )
% 0.78/1.16 , clause( 523, [] )
% 0.78/1.16 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 end.
% 0.78/1.16
% 0.78/1.16 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.78/1.16
% 0.78/1.16 Memory use:
% 0.78/1.16
% 0.78/1.16 space for terms: 5418
% 0.78/1.16 space for clauses: 44351
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 clauses generated: 15583
% 0.78/1.16 clauses kept: 374
% 0.78/1.16 clauses selected: 129
% 0.78/1.16 clauses deleted: 31
% 0.78/1.16 clauses inuse deleted: 0
% 0.78/1.16
% 0.78/1.16 subsentry: 2677
% 0.78/1.16 literals s-matched: 2365
% 0.78/1.16 literals matched: 2352
% 0.78/1.16 full subsumption: 0
% 0.78/1.16
% 0.78/1.16 checksum: 18776258
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 Bliksem ended
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