TSTP Solution File: RNG017-6 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : RNG017-6 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.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 0.51s 0.93s
% Output : Refutation 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : RNG017-6 : TPTP v8.1.0. Released v1.0.0.
% 0.05/0.09 % Command : bliksem %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % DateTime : Mon May 30 21:21:58 EDT 2022
% 0.09/0.28 % CPUTime :
% 0.51/0.93 *** allocated 10000 integers for termspace/termends
% 0.51/0.93 *** allocated 10000 integers for clauses
% 0.51/0.93 *** allocated 10000 integers for justifications
% 0.51/0.93 Bliksem 1.12
% 0.51/0.93
% 0.51/0.93
% 0.51/0.93 Automatic Strategy Selection
% 0.51/0.93
% 0.51/0.93 Clauses:
% 0.51/0.93 [
% 0.51/0.93 [ =( add( 'additive_identity', X ), X ) ],
% 0.51/0.93 [ =( add( X, 'additive_identity' ), X ) ],
% 0.51/0.93 [ =( multiply( 'additive_identity', X ), 'additive_identity' ) ],
% 0.51/0.93 [ =( multiply( X, 'additive_identity' ), 'additive_identity' ) ],
% 0.51/0.93 [ =( add( 'additive_inverse'( X ), X ), 'additive_identity' ) ],
% 0.51/0.93 [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity' ) ],
% 0.51/0.93 [ =( 'additive_inverse'( 'additive_inverse'( X ) ), X ) ],
% 0.51/0.93 [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ), multiply( X, Z )
% 0.51/0.93 ) ) ],
% 0.51/0.93 [ =( multiply( add( X, Y ), Z ), add( multiply( X, Z ), multiply( Y, Z )
% 0.51/0.93 ) ) ],
% 0.51/0.93 [ =( add( X, Y ), add( Y, X ) ) ],
% 0.51/0.93 [ =( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ],
% 0.51/0.93 [ =( multiply( multiply( X, Y ), Y ), multiply( X, multiply( Y, Y ) ) )
% 0.51/0.93 ],
% 0.51/0.93 [ =( multiply( multiply( X, X ), Y ), multiply( X, multiply( X, Y ) ) )
% 0.51/0.93 ],
% 0.51/0.93 [ =( associator( X, Y, Z ), add( multiply( multiply( X, Y ), Z ),
% 0.51/0.93 'additive_inverse'( multiply( X, multiply( Y, Z ) ) ) ) ) ],
% 0.51/0.93 [ =( commutator( X, Y ), add( multiply( Y, X ), 'additive_inverse'(
% 0.51/0.93 multiply( X, Y ) ) ) ) ],
% 0.51/0.93 [ ~( =( multiply( 'additive_inverse'( x ), add( y, z ) ), add(
% 0.51/0.93 'additive_inverse'( multiply( x, y ) ), 'additive_inverse'( multiply( x,
% 0.51/0.93 z ) ) ) ) ) ]
% 0.51/0.93 ] .
% 0.51/0.93
% 0.51/0.93
% 0.51/0.93 percentage equality = 1.000000, percentage horn = 1.000000
% 0.51/0.93 This is a pure equality problem
% 0.51/0.93
% 0.51/0.93
% 0.51/0.93
% 0.51/0.93 Options Used:
% 0.51/0.93
% 0.51/0.93 useres = 1
% 0.51/0.93 useparamod = 1
% 0.51/0.93 useeqrefl = 1
% 0.51/0.93 useeqfact = 1
% 0.51/0.93 usefactor = 1
% 0.51/0.93 usesimpsplitting = 0
% 0.51/0.93 usesimpdemod = 5
% 0.51/0.93 usesimpres = 3
% 0.51/0.93
% 0.51/0.93 resimpinuse = 1000
% 0.51/0.93 resimpclauses = 20000
% 0.51/0.93 substype = eqrewr
% 0.51/0.93 backwardsubs = 1
% 0.51/0.93 selectoldest = 5
% 0.51/0.93
% 0.51/0.93 litorderings [0] = split
% 0.51/0.93 litorderings [1] = extend the termordering, first sorting on arguments
% 0.51/0.93
% 0.51/0.93 termordering = kbo
% 0.51/0.93
% 0.51/0.93 litapriori = 0
% 0.51/0.93 termapriori = 1
% 0.51/0.93 litaposteriori = 0
% 0.51/0.93 termaposteriori = 0
% 0.51/0.93 demodaposteriori = 0
% 0.51/0.93 ordereqreflfact = 0
% 0.51/0.93
% 0.51/0.93 litselect = negord
% 0.51/0.93
% 0.51/0.93 maxweight = 15
% 0.51/0.93 maxdepth = 30000
% 0.51/0.93 maxlength = 115
% 0.51/0.93 maxnrvars = 195
% 0.51/0.93 excuselevel = 1
% 0.51/0.93 increasemaxweight = 1
% 0.51/0.93
% 0.51/0.93 maxselected = 10000000
% 0.51/0.93 maxnrclauses = 10000000
% 0.51/0.93
% 0.51/0.93 showgenerated = 0
% 0.51/0.93 showkept = 0
% 0.51/0.93 showselected = 0
% 0.51/0.93 showdeleted = 0
% 0.51/0.93 showresimp = 1
% 0.51/0.93 showstatus = 2000
% 0.51/0.93
% 0.51/0.93 prologoutput = 1
% 0.51/0.93 nrgoals = 5000000
% 0.51/0.93 totalproof = 1
% 0.51/0.93
% 0.51/0.93 Symbols occurring in the translation:
% 0.51/0.93
% 0.51/0.93 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.51/0.93 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.51/0.93 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.51/0.93 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.51/0.93 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.51/0.93 'additive_identity' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.51/0.93 add [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.51/0.93 multiply [42, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.51/0.93 'additive_inverse' [43, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.51/0.93 associator [46, 3] (w:1, o:50, a:1, s:1, b:0),
% 0.51/0.93 commutator [47, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.51/0.93 x [48, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.51/0.93 y [49, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.51/0.93 z [50, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.51/0.93
% 0.51/0.93
% 0.51/0.93 Starting Search:
% 0.51/0.93
% 0.51/0.93
% 0.51/0.93 Bliksems!, er is een bewijs:
% 0.51/0.93 % SZS status Unsatisfiable
% 0.51/0.93 % SZS output start Refutation
% 0.51/0.93
% 0.51/0.93 clause( 1, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.51/0.93 .
% 0.51/0.93 clause( 5, [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity' ) ]
% 0.51/0.93 )
% 0.51/0.93 .
% 0.51/0.93 clause( 7, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X, add(
% 0.51/0.93 Y, Z ) ) ) ] )
% 0.51/0.93 .
% 0.51/0.93 clause( 8, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply( add( X
% 0.51/0.93 , Y ), Z ) ) ] )
% 0.51/0.93 .
% 0.51/0.93 clause( 9, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.51/0.93 .
% 0.51/0.93 clause( 10, [ =( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ] )
% 0.51/0.93 .
% 0.51/0.93 clause( 15, [ ~( =( add( 'additive_inverse'( multiply( x, y ) ),
% 0.51/0.93 'additive_inverse'( multiply( x, z ) ) ), multiply( 'additive_inverse'( x
% 0.51/0.93 ), add( y, z ) ) ) ) ] )
% 0.51/0.93 .
% 0.51/0.93 clause( 19, [ =( add( add( Y, X ), 'additive_inverse'( X ) ), Y ) ] )
% 0.51/0.93 .
% 0.51/0.93 clause( 27, [ =( add( add( Y, X ), 'additive_inverse'( Y ) ), X ) ] )
% 0.51/0.93 .
% 0.51/0.93 clause( 28, [ =( add( Y, 'additive_inverse'( add( X, Y ) ) ),
% 0.51/0.93 'additive_inverse'( X ) ) ] )
% 0.51/0.93 .
% 0.51/0.93 clause( 37, [ =( add( multiply( add( X, Z ), Y ), 'additive_inverse'(
% 0.51/0.93 multiply( X, Y ) ) ), multiply( Z, Y ) ) ] )
% 0.51/0.93 .
% 0.51/0.93 clause( 43, [ =( add( multiply( Z, Y ), 'additive_inverse'( multiply( add(
% 0.51/0.93 X, Z ), Y ) ) ), 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 0.51/0.93 .
% 0.51/0.93 clause( 46, [ =( add( 'additive_inverse'( Y ), 'additive_inverse'( X ) ),
% 0.51/0.93 'additive_inverse'( add( Y, X ) ) ) ] )
% 0.51/0.93 .
% 0.51/0.93 clause( 47, [ =( 'additive_inverse'( add( Y, X ) ), 'additive_inverse'( add(
% 0.51/0.93 X, Y ) ) ) ] )
% 0.51/0.93 .
% 0.51/0.93 clause( 54, [ =( add( add( add( X, Y ), Z ), 'additive_inverse'( add( Y, X
% 0.51/0.93 ) ) ), Z ) ] )
% 0.51/0.93 .
% 0.51/0.93 clause( 130, [ ~( =( multiply( 'additive_inverse'( x ), add( y, z ) ),
% 0.51/0.93 'additive_inverse'( multiply( x, add( y, z ) ) ) ) ) ] )
% 0.51/0.93 .
% 0.51/0.93 clause( 202, [ =( multiply( 'additive_inverse'( add( Y, X ) ), T ),
% 0.51/0.93 'additive_inverse'( multiply( add( X, Y ), T ) ) ) ] )
% 0.51/0.93 .
% 0.51/0.93 clause( 204, [ =( multiply( 'additive_inverse'( Y ), Z ),
% 0.51/0.93 'additive_inverse'( multiply( Y, Z ) ) ) ] )
% 0.51/0.93 .
% 0.51/0.93 clause( 373, [] )
% 0.51/0.93 .
% 0.51/0.93
% 0.51/0.93
% 0.51/0.93 % SZS output end Refutation
% 0.51/0.93 found a proof!
% 0.51/0.93
% 0.51/0.93 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.51/0.93
% 0.51/0.93 initialclauses(
% 0.51/0.93 [ clause( 375, [ =( add( 'additive_identity', X ), X ) ] )
% 0.51/0.93 , clause( 376, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.51/0.93 , clause( 377, [ =( multiply( 'additive_identity', X ), 'additive_identity'
% 0.51/0.93 ) ] )
% 0.51/0.93 , clause( 378, [ =( multiply( X, 'additive_identity' ), 'additive_identity'
% 0.51/0.93 ) ] )
% 0.51/0.93 , clause( 379, [ =( add( 'additive_inverse'( X ), X ), 'additive_identity'
% 0.51/0.93 ) ] )
% 0.51/0.93 , clause( 380, [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity'
% 0.51/0.93 ) ] )
% 0.51/0.93 , clause( 381, [ =( 'additive_inverse'( 'additive_inverse'( X ) ), X ) ] )
% 0.51/0.93 , clause( 382, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.51/0.93 multiply( X, Z ) ) ) ] )
% 0.51/0.93 , clause( 383, [ =( multiply( add( X, Y ), Z ), add( multiply( X, Z ),
% 0.51/0.93 multiply( Y, Z ) ) ) ] )
% 0.51/0.93 , clause( 384, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.51/0.93 , clause( 385, [ =( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ] )
% 0.51/0.93 , clause( 386, [ =( multiply( multiply( X, Y ), Y ), multiply( X, multiply(
% 0.51/0.93 Y, Y ) ) ) ] )
% 0.51/0.93 , clause( 387, [ =( multiply( multiply( X, X ), Y ), multiply( X, multiply(
% 0.51/0.93 X, Y ) ) ) ] )
% 0.51/0.93 , clause( 388, [ =( associator( X, Y, Z ), add( multiply( multiply( X, Y )
% 0.51/0.93 , Z ), 'additive_inverse'( multiply( X, multiply( Y, Z ) ) ) ) ) ] )
% 0.51/0.93 , clause( 389, [ =( commutator( X, Y ), add( multiply( Y, X ),
% 0.51/0.93 'additive_inverse'( multiply( X, Y ) ) ) ) ] )
% 0.51/0.93 , clause( 390, [ ~( =( multiply( 'additive_inverse'( x ), add( y, z ) ),
% 0.51/0.93 add( 'additive_inverse'( multiply( x, y ) ), 'additive_inverse'( multiply(
% 0.51/0.93 x, z ) ) ) ) ) ] )
% 0.51/0.93 ] ).
% 0.51/0.93
% 0.51/0.93
% 0.51/0.93
% 0.51/0.93 subsumption(
% 0.51/0.93 clause( 1, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.51/0.93 , clause( 376, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.51/0.93 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/0.93
% 0.51/0.93
% 0.51/0.93 subsumption(
% 0.51/0.93 clause( 5, [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity' ) ]
% 0.51/0.93 )
% 0.51/0.93 , clause( 380, [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity'
% 0.51/0.93 ) ] )
% 0.51/0.93 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/0.93
% 0.51/0.93
% 0.51/0.93 eqswap(
% 0.51/0.93 clause( 406, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.51/0.93 add( Y, Z ) ) ) ] )
% 0.51/0.93 , clause( 382, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.51/0.93 multiply( X, Z ) ) ) ] )
% 0.51/0.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.51/0.93
% 0.51/0.93
% 0.51/0.93 subsumption(
% 0.51/0.93 clause( 7, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X, add(
% 0.51/0.93 Y, Z ) ) ) ] )
% 0.51/0.93 , clause( 406, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X
% 0.51/0.93 , add( Y, Z ) ) ) ] )
% 0.51/0.93 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.51/0.93 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/0.93
% 0.51/0.93
% 0.51/0.93 eqswap(
% 0.51/0.93 clause( 415, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply( add(
% 0.51/0.93 X, Y ), Z ) ) ] )
% 0.51/0.93 , clause( 383, [ =( multiply( add( X, Y ), Z ), add( multiply( X, Z ),
% 0.51/0.93 multiply( Y, Z ) ) ) ] )
% 0.51/0.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.51/0.93
% 0.51/0.93
% 0.51/0.93 subsumption(
% 0.51/0.93 clause( 8, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply( add( X
% 0.51/0.93 , Y ), Z ) ) ] )
% 0.51/0.93 , clause( 415, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply(
% 0.51/0.93 add( X, Y ), Z ) ) ] )
% 0.51/0.93 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.51/0.93 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/0.93
% 0.51/0.93
% 0.51/0.93 subsumption(
% 0.51/0.93 clause( 9, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.51/0.93 , clause( 384, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.51/0.93 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.51/0.93 )] ) ).
% 0.51/0.93
% 0.51/0.93
% 0.51/0.93 subsumption(
% 0.51/0.93 clause( 10, [ =( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ] )
% 0.51/0.93 , clause( 385, [ =( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ] )
% 0.51/0.93 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.51/0.93 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/0.93
% 0.51/0.93
% 0.51/0.93 eqswap(
% 0.51/0.93 clause( 449, [ ~( =( add( 'additive_inverse'( multiply( x, y ) ),
% 0.51/0.93 'additive_inverse'( multiply( x, z ) ) ), multiply( 'additive_inverse'( x
% 0.51/0.93 ), add( y, z ) ) ) ) ] )
% 0.51/0.93 , clause( 390, [ ~( =( multiply( 'additive_inverse'( x ), add( y, z ) ),
% 0.51/0.93 add( 'additive_inverse'( multiply( x, y ) ), 'additive_inverse'( multiply(
% 0.51/0.93 x, z ) ) ) ) ) ] )
% 0.51/0.93 , 0, substitution( 0, [] )).
% 0.51/0.93
% 0.51/0.93
% 0.51/0.93 subsumption(
% 0.51/0.93 clause( 15, [ ~( =( add( 'additive_inverse'( multiply( x, y ) ),
% 0.51/0.93 'additive_inverse'( multiply( x, z ) ) ), multiply( 'additive_inverse'( x
% 0.51/0.93 ), add( y, z ) ) ) ) ] )
% 0.51/0.93 , clause( 449, [ ~( =( add( 'additive_inverse'( multiply( x, y ) ),
% 0.51/0.93 'additive_inverse'( multiply( x, z ) ) ), multiply( 'additive_inverse'( x
% 0.51/0.93 ), add( y, z ) ) ) ) ] )
% 0.51/0.93 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/0.93
% 0.51/0.93
% 0.51/0.93 eqswap(
% 0.51/0.93 clause( 451, [ =( add( add( X, Y ), Z ), add( X, add( Y, Z ) ) ) ] )
% 0.51/0.93 , clause( 10, [ =( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ] )
% 0.51/0.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.51/0.93
% 0.51/0.93
% 0.51/0.93 paramod(
% 0.51/0.93 clause( 455, [ =( add( add( X, Y ), 'additive_inverse'( Y ) ), add( X,
% 0.51/0.93 'additive_identity' ) ) ] )
% 0.51/0.93 , clause( 5, [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity' )
% 0.51/0.93 ] )
% 0.51/0.93 , 0, clause( 451, [ =( add( add( X, Y ), Z ), add( X, add( Y, Z ) ) ) ] )
% 0.51/0.93 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.51/0.93 :=( Y, Y ), :=( Z, 'additive_inverse'( Y ) )] )).
% 0.51/0.93
% 0.51/0.93
% 0.51/0.93 paramod(
% 0.51/0.93 clause( 456, [ =( add( add( X, Y ), 'additive_inverse'( Y ) ), X ) ] )
% 0.51/0.93 , clause( 1, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.51/0.93 , 0, clause( 455, [ =( add( add( X, Y ), 'additive_inverse'( Y ) ), add( X
% 0.51/0.93 , 'additive_identity' ) ) ] )
% 0.51/0.93 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.51/0.93 :=( Y, Y )] )).
% 0.51/0.93
% 0.51/0.93
% 0.51/0.93 subsumption(
% 0.51/0.93 clause( 19, [ =( add( add( Y, X ), 'additive_inverse'( X ) ), Y ) ] )
% 0.51/0.93 , clause( 456, [ =( add( add( X, Y ), 'additive_inverse'( Y ) ), X ) ] )
% 0.51/0.93 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.51/0.93 )] ) ).
% 0.51/0.93
% 0.51/0.93
% 0.51/0.93 eqswap(
% 0.51/0.93 clause( 458, [ =( X, add( add( X, Y ), 'additive_inverse'( Y ) ) ) ] )
% 0.51/0.93 , clause( 19, [ =( add( add( Y, X ), 'additive_inverse'( X ) ), Y ) ] )
% 0.51/0.93 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.51/0.93
% 0.51/0.93
% 0.51/0.93 paramod(
% 0.51/0.93 clause( 460, [ =( X, add( add( Y, X ), 'additive_inverse'( Y ) ) ) ] )
% 0.51/0.93 , clause( 9, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.51/0.93 , 0, clause( 458, [ =( X, add( add( X, Y ), 'additive_inverse'( Y ) ) ) ]
% 0.51/0.93 )
% 0.51/0.93 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.51/0.93 :=( X, X ), :=( Y, Y )] )).
% 0.51/0.93
% 0.51/0.93
% 0.51/0.93 eqswap(
% 0.51/0.93 clause( 466, [ =( add( add( Y, X ), 'additive_inverse'( Y ) ), X ) ] )
% 0.51/0.93 , clause( 460, [ =( X, add( add( Y, X ), 'additive_inverse'( Y ) ) ) ] )
% 0.51/0.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.51/0.93
% 0.51/0.93
% 0.51/0.93 subsumption(
% 0.51/0.93 clause( 27, [ =( add( add( Y, X ), 'additive_inverse'( Y ) ), X ) ] )
% 0.51/0.93 , clause( 466, [ =( add( add( Y, X ), 'additive_inverse'( Y ) ), X ) ] )
% 0.51/0.93 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.51/0.93 )] ) ).
% 0.51/0.93
% 0.51/0.93
% 0.51/0.93 eqswap(
% 0.51/0.93 clause( 467, [ =( Y, add( add( X, Y ), 'additive_inverse'( X ) ) ) ] )
% 0.51/0.93 , clause( 27, [ =( add( add( Y, X ), 'additive_inverse'( Y ) ), X ) ] )
% 0.51/0.93 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.51/0.93
% 0.51/0.93
% 0.51/0.93 paramod(
% 0.51/0.93 clause( 470, [ =( 'additive_inverse'( X ), add( Y, 'additive_inverse'( add(
% 0.51/0.93 X, Y ) ) ) ) ] )
% 0.51/0.93 , clause( 27, [ =( add( add( Y, X ), 'additive_inverse'( Y ) ), X ) ] )
% 0.51/0.93 , 0, clause( 467, [ =( Y, add( add( X, Y ), 'additive_inverse'( X ) ) ) ]
% 0.51/0.93 )
% 0.51/0.93 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.51/0.93 :=( X, add( X, Y ) ), :=( Y, 'additive_inverse'( X ) )] )).
% 0.51/0.93
% 0.51/0.93
% 0.51/0.93 eqswap(
% 0.51/0.93 clause( 471, [ =( add( Y, 'additive_inverse'( add( X, Y ) ) ),
% 0.51/0.93 'additive_inverse'( X ) ) ] )
% 0.51/0.93 , clause( 470, [ =( 'additive_inverse'( X ), add( Y, 'additive_inverse'(
% 0.51/0.93 add( X, Y ) ) ) ) ] )
% 0.51/0.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.51/0.93
% 0.51/0.93
% 0.51/0.93 subsumption(
% 0.51/0.93 clause( 28, [ =( add( Y, 'additive_inverse'( add( X, Y ) ) ),
% 0.51/0.93 'additive_inverse'( X ) ) ] )
% 0.51/0.93 , clause( 471, [ =( add( Y, 'additive_inverse'( add( X, Y ) ) ),
% 0.51/0.93 'additive_inverse'( X ) ) ] )
% 0.51/0.93 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.51/0.93 )] ) ).
% 0.51/0.93
% 0.51/0.93
% 0.51/0.93 eqswap(
% 0.51/0.93 clause( 473, [ =( Y, add( add( X, Y ), 'additive_inverse'( X ) ) ) ] )
% 0.51/0.93 , clause( 27, [ =( add( add( Y, X ), 'additive_inverse'( Y ) ), X ) ] )
% 0.51/0.93 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.51/0.93
% 0.51/0.93
% 0.51/0.93 paramod(
% 0.51/0.93 clause( 476, [ =( multiply( X, Y ), add( multiply( add( Z, X ), Y ),
% 0.51/0.93 'additive_inverse'( multiply( Z, Y ) ) ) ) ] )
% 0.51/0.93 , clause( 8, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply( add(
% 0.51/0.94 X, Y ), Z ) ) ] )
% 0.51/0.94 , 0, clause( 473, [ =( Y, add( add( X, Y ), 'additive_inverse'( X ) ) ) ]
% 0.51/0.94 )
% 0.51/0.94 , 0, 5, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.51/0.94 substitution( 1, [ :=( X, multiply( Z, Y ) ), :=( Y, multiply( X, Y ) )] )
% 0.51/0.94 ).
% 0.51/0.94
% 0.51/0.94
% 0.51/0.94 eqswap(
% 0.51/0.94 clause( 477, [ =( add( multiply( add( Z, X ), Y ), 'additive_inverse'(
% 0.51/0.94 multiply( Z, Y ) ) ), multiply( X, Y ) ) ] )
% 0.51/0.94 , clause( 476, [ =( multiply( X, Y ), add( multiply( add( Z, X ), Y ),
% 0.51/0.94 'additive_inverse'( multiply( Z, Y ) ) ) ) ] )
% 0.51/0.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.51/0.94
% 0.51/0.94
% 0.51/0.94 subsumption(
% 0.51/0.94 clause( 37, [ =( add( multiply( add( X, Z ), Y ), 'additive_inverse'(
% 0.51/0.94 multiply( X, Y ) ) ), multiply( Z, Y ) ) ] )
% 0.51/0.94 , clause( 477, [ =( add( multiply( add( Z, X ), Y ), 'additive_inverse'(
% 0.51/0.94 multiply( Z, Y ) ) ), multiply( X, Y ) ) ] )
% 0.51/0.94 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.51/0.94 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/0.94
% 0.51/0.94
% 0.51/0.94 eqswap(
% 0.51/0.94 clause( 479, [ =( 'additive_inverse'( Y ), add( X, 'additive_inverse'( add(
% 0.51/0.94 Y, X ) ) ) ) ] )
% 0.51/0.94 , clause( 28, [ =( add( Y, 'additive_inverse'( add( X, Y ) ) ),
% 0.51/0.94 'additive_inverse'( X ) ) ] )
% 0.51/0.94 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.51/0.94
% 0.51/0.94
% 0.51/0.94 paramod(
% 0.51/0.94 clause( 482, [ =( 'additive_inverse'( multiply( X, Y ) ), add( multiply( Z
% 0.51/0.94 , Y ), 'additive_inverse'( multiply( add( X, Z ), Y ) ) ) ) ] )
% 0.51/0.94 , clause( 8, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply( add(
% 0.51/0.94 X, Y ), Z ) ) ] )
% 0.51/0.94 , 0, clause( 479, [ =( 'additive_inverse'( Y ), add( X, 'additive_inverse'(
% 0.51/0.94 add( Y, X ) ) ) ) ] )
% 0.51/0.94 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.51/0.94 substitution( 1, [ :=( X, multiply( Z, Y ) ), :=( Y, multiply( X, Y ) )] )
% 0.51/0.94 ).
% 0.51/0.94
% 0.51/0.94
% 0.51/0.94 eqswap(
% 0.51/0.94 clause( 483, [ =( add( multiply( Z, Y ), 'additive_inverse'( multiply( add(
% 0.51/0.94 X, Z ), Y ) ) ), 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 0.51/0.94 , clause( 482, [ =( 'additive_inverse'( multiply( X, Y ) ), add( multiply(
% 0.51/0.94 Z, Y ), 'additive_inverse'( multiply( add( X, Z ), Y ) ) ) ) ] )
% 0.51/0.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.51/0.94
% 0.51/0.94
% 0.51/0.94 subsumption(
% 0.51/0.94 clause( 43, [ =( add( multiply( Z, Y ), 'additive_inverse'( multiply( add(
% 0.51/0.94 X, Z ), Y ) ) ), 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 0.51/0.94 , clause( 483, [ =( add( multiply( Z, Y ), 'additive_inverse'( multiply(
% 0.51/0.94 add( X, Z ), Y ) ) ), 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 0.51/0.94 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.51/0.94 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/0.94
% 0.51/0.94
% 0.51/0.94 eqswap(
% 0.51/0.94 clause( 484, [ =( 'additive_inverse'( Y ), add( X, 'additive_inverse'( add(
% 0.51/0.94 Y, X ) ) ) ) ] )
% 0.51/0.94 , clause( 28, [ =( add( Y, 'additive_inverse'( add( X, Y ) ) ),
% 0.51/0.94 'additive_inverse'( X ) ) ] )
% 0.51/0.94 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.51/0.94
% 0.51/0.94
% 0.51/0.94 paramod(
% 0.51/0.94 clause( 486, [ =( 'additive_inverse'( add( X, Y ) ), add(
% 0.51/0.94 'additive_inverse'( X ), 'additive_inverse'( Y ) ) ) ] )
% 0.51/0.94 , clause( 27, [ =( add( add( Y, X ), 'additive_inverse'( Y ) ), X ) ] )
% 0.51/0.94 , 0, clause( 484, [ =( 'additive_inverse'( Y ), add( X, 'additive_inverse'(
% 0.51/0.94 add( Y, X ) ) ) ) ] )
% 0.51/0.94 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.51/0.94 :=( X, 'additive_inverse'( X ) ), :=( Y, add( X, Y ) )] )).
% 0.51/0.94
% 0.51/0.94
% 0.51/0.94 eqswap(
% 0.51/0.94 clause( 487, [ =( add( 'additive_inverse'( X ), 'additive_inverse'( Y ) ),
% 0.51/0.94 'additive_inverse'( add( X, Y ) ) ) ] )
% 0.51/0.94 , clause( 486, [ =( 'additive_inverse'( add( X, Y ) ), add(
% 0.51/0.94 'additive_inverse'( X ), 'additive_inverse'( Y ) ) ) ] )
% 0.51/0.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.51/0.94
% 0.51/0.94
% 0.51/0.94 subsumption(
% 0.51/0.94 clause( 46, [ =( add( 'additive_inverse'( Y ), 'additive_inverse'( X ) ),
% 0.51/0.94 'additive_inverse'( add( Y, X ) ) ) ] )
% 0.51/0.94 , clause( 487, [ =( add( 'additive_inverse'( X ), 'additive_inverse'( Y ) )
% 0.51/0.94 , 'additive_inverse'( add( X, Y ) ) ) ] )
% 0.51/0.94 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.51/0.94 )] ) ).
% 0.51/0.94
% 0.51/0.94
% 0.51/0.94 eqswap(
% 0.51/0.94 clause( 489, [ =( 'additive_inverse'( Y ), add( X, 'additive_inverse'( add(
% 0.51/0.94 Y, X ) ) ) ) ] )
% 0.51/0.94 , clause( 28, [ =( add( Y, 'additive_inverse'( add( X, Y ) ) ),
% 0.51/0.94 'additive_inverse'( X ) ) ] )
% 0.51/0.94 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.51/0.94
% 0.51/0.94
% 0.51/0.94 paramod(
% 0.51/0.94 clause( 494, [ =( 'additive_inverse'( add( X, Y ) ), add(
% 0.51/0.94 'additive_inverse'( Y ), 'additive_inverse'( X ) ) ) ] )
% 0.51/0.94 , clause( 19, [ =( add( add( Y, X ), 'additive_inverse'( X ) ), Y ) ] )
% 0.51/0.94 , 0, clause( 489, [ =( 'additive_inverse'( Y ), add( X, 'additive_inverse'(
% 0.51/0.94 add( Y, X ) ) ) ) ] )
% 0.51/0.94 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.51/0.94 :=( X, 'additive_inverse'( Y ) ), :=( Y, add( X, Y ) )] )).
% 0.51/0.94
% 0.51/0.94
% 0.51/0.94 paramod(
% 0.51/0.94 clause( 495, [ =( 'additive_inverse'( add( X, Y ) ), 'additive_inverse'(
% 0.51/0.94 add( Y, X ) ) ) ] )
% 0.51/0.94 , clause( 46, [ =( add( 'additive_inverse'( Y ), 'additive_inverse'( X ) )
% 0.51/0.94 , 'additive_inverse'( add( Y, X ) ) ) ] )
% 0.51/0.94 , 0, clause( 494, [ =( 'additive_inverse'( add( X, Y ) ), add(
% 0.51/0.94 'additive_inverse'( Y ), 'additive_inverse'( X ) ) ) ] )
% 0.51/0.94 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.51/0.94 :=( X, X ), :=( Y, Y )] )).
% 0.51/0.94
% 0.51/0.94
% 0.51/0.94 subsumption(
% 0.51/0.94 clause( 47, [ =( 'additive_inverse'( add( Y, X ) ), 'additive_inverse'( add(
% 0.51/0.94 X, Y ) ) ) ] )
% 0.51/0.94 , clause( 495, [ =( 'additive_inverse'( add( X, Y ) ), 'additive_inverse'(
% 0.51/0.94 add( Y, X ) ) ) ] )
% 0.51/0.94 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.51/0.94 )] ) ).
% 0.51/0.94
% 0.51/0.94
% 0.51/0.94 eqswap(
% 0.51/0.94 clause( 496, [ =( Y, add( add( X, Y ), 'additive_inverse'( X ) ) ) ] )
% 0.51/0.94 , clause( 27, [ =( add( add( Y, X ), 'additive_inverse'( Y ) ), X ) ] )
% 0.51/0.94 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.51/0.94
% 0.51/0.94
% 0.51/0.94 paramod(
% 0.51/0.94 clause( 497, [ =( X, add( add( add( Y, Z ), X ), 'additive_inverse'( add( Z
% 0.51/0.94 , Y ) ) ) ) ] )
% 0.51/0.94 , clause( 47, [ =( 'additive_inverse'( add( Y, X ) ), 'additive_inverse'(
% 0.51/0.94 add( X, Y ) ) ) ] )
% 0.51/0.94 , 0, clause( 496, [ =( Y, add( add( X, Y ), 'additive_inverse'( X ) ) ) ]
% 0.51/0.94 )
% 0.51/0.94 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.51/0.94 :=( X, add( Y, Z ) ), :=( Y, X )] )).
% 0.51/0.94
% 0.51/0.94
% 0.51/0.94 eqswap(
% 0.51/0.94 clause( 500, [ =( add( add( add( Y, Z ), X ), 'additive_inverse'( add( Z, Y
% 0.51/0.94 ) ) ), X ) ] )
% 0.51/0.94 , clause( 497, [ =( X, add( add( add( Y, Z ), X ), 'additive_inverse'( add(
% 0.51/0.94 Z, Y ) ) ) ) ] )
% 0.51/0.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.51/0.94
% 0.51/0.94
% 0.51/0.94 subsumption(
% 0.51/0.94 clause( 54, [ =( add( add( add( X, Y ), Z ), 'additive_inverse'( add( Y, X
% 0.51/0.94 ) ) ), Z ) ] )
% 0.51/0.94 , clause( 500, [ =( add( add( add( Y, Z ), X ), 'additive_inverse'( add( Z
% 0.51/0.94 , Y ) ) ), X ) ] )
% 0.51/0.94 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.51/0.94 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/0.94
% 0.51/0.94
% 0.51/0.94 paramod(
% 0.51/0.94 clause( 504, [ ~( =( 'additive_inverse'( add( multiply( x, y ), multiply( x
% 0.51/0.94 , z ) ) ), multiply( 'additive_inverse'( x ), add( y, z ) ) ) ) ] )
% 0.51/0.94 , clause( 46, [ =( add( 'additive_inverse'( Y ), 'additive_inverse'( X ) )
% 0.51/0.94 , 'additive_inverse'( add( Y, X ) ) ) ] )
% 0.51/0.94 , 0, clause( 15, [ ~( =( add( 'additive_inverse'( multiply( x, y ) ),
% 0.51/0.94 'additive_inverse'( multiply( x, z ) ) ), multiply( 'additive_inverse'( x
% 0.51/0.94 ), add( y, z ) ) ) ) ] )
% 0.51/0.94 , 0, 2, substitution( 0, [ :=( X, multiply( x, z ) ), :=( Y, multiply( x, y
% 0.51/0.94 ) )] ), substitution( 1, [] )).
% 0.51/0.94
% 0.51/0.94
% 0.51/0.94 paramod(
% 0.51/0.94 clause( 505, [ ~( =( 'additive_inverse'( multiply( x, add( y, z ) ) ),
% 0.51/0.94 multiply( 'additive_inverse'( x ), add( y, z ) ) ) ) ] )
% 0.51/0.94 , clause( 7, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.51/0.94 add( Y, Z ) ) ) ] )
% 0.51/0.94 , 0, clause( 504, [ ~( =( 'additive_inverse'( add( multiply( x, y ),
% 0.51/0.94 multiply( x, z ) ) ), multiply( 'additive_inverse'( x ), add( y, z ) ) )
% 0.51/0.94 ) ] )
% 0.51/0.94 , 0, 3, substitution( 0, [ :=( X, x ), :=( Y, y ), :=( Z, z )] ),
% 0.51/0.94 substitution( 1, [] )).
% 0.51/0.94
% 0.51/0.94
% 0.51/0.94 eqswap(
% 0.51/0.94 clause( 506, [ ~( =( multiply( 'additive_inverse'( x ), add( y, z ) ),
% 0.51/0.94 'additive_inverse'( multiply( x, add( y, z ) ) ) ) ) ] )
% 0.51/0.94 , clause( 505, [ ~( =( 'additive_inverse'( multiply( x, add( y, z ) ) ),
% 0.51/0.94 multiply( 'additive_inverse'( x ), add( y, z ) ) ) ) ] )
% 0.51/0.94 , 0, substitution( 0, [] )).
% 0.51/0.94
% 0.51/0.94
% 0.51/0.94 subsumption(
% 0.51/0.94 clause( 130, [ ~( =( multiply( 'additive_inverse'( x ), add( y, z ) ),
% 0.51/0.94 'additive_inverse'( multiply( x, add( y, z ) ) ) ) ) ] )
% 0.51/0.94 , clause( 506, [ ~( =( multiply( 'additive_inverse'( x ), add( y, z ) ),
% 0.51/0.94 'additive_inverse'( multiply( x, add( y, z ) ) ) ) ) ] )
% 0.51/0.94 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/0.94
% 0.51/0.94
% 0.51/0.94 eqswap(
% 0.51/0.94 clause( 508, [ =( multiply( Y, Z ), add( multiply( add( X, Y ), Z ),
% 0.51/0.94 'additive_inverse'( multiply( X, Z ) ) ) ) ] )
% 0.51/0.94 , clause( 37, [ =( add( multiply( add( X, Z ), Y ), 'additive_inverse'(
% 0.51/0.94 multiply( X, Y ) ) ), multiply( Z, Y ) ) ] )
% 0.51/0.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.51/0.94
% 0.51/0.94
% 0.51/0.94 paramod(
% 0.51/0.94 clause( 512, [ =( multiply( 'additive_inverse'( add( X, Y ) ), Z ), add(
% 0.51/0.94 multiply( T, Z ), 'additive_inverse'( multiply( add( add( Y, X ), T ), Z
% 0.51/0.94 ) ) ) ) ] )
% 0.51/0.94 , clause( 54, [ =( add( add( add( X, Y ), Z ), 'additive_inverse'( add( Y,
% 0.51/0.94 X ) ) ), Z ) ] )
% 0.51/0.94 , 0, clause( 508, [ =( multiply( Y, Z ), add( multiply( add( X, Y ), Z ),
% 0.51/0.94 'additive_inverse'( multiply( X, Z ) ) ) ) ] )
% 0.51/0.94 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, T )] ),
% 0.51/0.94 substitution( 1, [ :=( X, add( add( Y, X ), T ) ), :=( Y,
% 0.51/0.94 'additive_inverse'( add( X, Y ) ) ), :=( Z, Z )] )).
% 0.51/0.94
% 0.51/0.94
% 0.51/0.94 paramod(
% 0.51/0.94 clause( 513, [ =( multiply( 'additive_inverse'( add( X, Y ) ), Z ),
% 0.51/0.94 'additive_inverse'( multiply( add( Y, X ), Z ) ) ) ] )
% 0.51/0.94 , clause( 43, [ =( add( multiply( Z, Y ), 'additive_inverse'( multiply( add(
% 0.51/0.94 X, Z ), Y ) ) ), 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 0.51/0.94 , 0, clause( 512, [ =( multiply( 'additive_inverse'( add( X, Y ) ), Z ),
% 0.51/0.94 add( multiply( T, Z ), 'additive_inverse'( multiply( add( add( Y, X ), T
% 0.51/0.94 ), Z ) ) ) ) ] )
% 0.51/0.94 , 0, 7, substitution( 0, [ :=( X, add( Y, X ) ), :=( Y, Z ), :=( Z, T )] )
% 0.51/0.94 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.51/0.94 ).
% 0.51/0.94
% 0.51/0.94
% 0.51/0.94 subsumption(
% 0.51/0.94 clause( 202, [ =( multiply( 'additive_inverse'( add( Y, X ) ), T ),
% 0.51/0.94 'additive_inverse'( multiply( add( X, Y ), T ) ) ) ] )
% 0.51/0.94 , clause( 513, [ =( multiply( 'additive_inverse'( add( X, Y ) ), Z ),
% 0.51/0.94 'additive_inverse'( multiply( add( Y, X ), Z ) ) ) ] )
% 0.51/0.94 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, T )] ),
% 0.51/0.94 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/0.94
% 0.51/0.94
% 0.51/0.94 eqswap(
% 0.51/0.94 clause( 516, [ =( multiply( Y, Z ), add( multiply( add( X, Y ), Z ),
% 0.51/0.94 'additive_inverse'( multiply( X, Z ) ) ) ) ] )
% 0.51/0.94 , clause( 37, [ =( add( multiply( add( X, Z ), Y ), 'additive_inverse'(
% 0.51/0.94 multiply( X, Y ) ) ), multiply( Z, Y ) ) ] )
% 0.51/0.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.51/0.94
% 0.51/0.94
% 0.51/0.94 paramod(
% 0.51/0.94 clause( 522, [ =( multiply( 'additive_inverse'( X ), Y ), add( multiply(
% 0.51/0.94 'additive_inverse'( add( Z, X ) ), Y ), 'additive_inverse'( multiply(
% 0.51/0.94 'additive_inverse'( Z ), Y ) ) ) ) ] )
% 0.51/0.94 , clause( 46, [ =( add( 'additive_inverse'( Y ), 'additive_inverse'( X ) )
% 0.51/0.94 , 'additive_inverse'( add( Y, X ) ) ) ] )
% 0.51/0.94 , 0, clause( 516, [ =( multiply( Y, Z ), add( multiply( add( X, Y ), Z ),
% 0.51/0.94 'additive_inverse'( multiply( X, Z ) ) ) ) ] )
% 0.51/0.94 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [
% 0.51/0.94 :=( X, 'additive_inverse'( Z ) ), :=( Y, 'additive_inverse'( X ) ), :=( Z
% 0.51/0.94 , Y )] )).
% 0.51/0.94
% 0.51/0.94
% 0.51/0.94 paramod(
% 0.51/0.94 clause( 523, [ =( multiply( 'additive_inverse'( X ), Y ), add(
% 0.51/0.94 'additive_inverse'( multiply( add( X, Z ), Y ) ), 'additive_inverse'(
% 0.51/0.94 multiply( 'additive_inverse'( Z ), Y ) ) ) ) ] )
% 0.51/0.94 , clause( 202, [ =( multiply( 'additive_inverse'( add( Y, X ) ), T ),
% 0.51/0.94 'additive_inverse'( multiply( add( X, Y ), T ) ) ) ] )
% 0.51/0.94 , 0, clause( 522, [ =( multiply( 'additive_inverse'( X ), Y ), add(
% 0.51/0.94 multiply( 'additive_inverse'( add( Z, X ) ), Y ), 'additive_inverse'(
% 0.51/0.94 multiply( 'additive_inverse'( Z ), Y ) ) ) ) ] )
% 0.51/0.94 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 0.51/0.94 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.51/0.94
% 0.51/0.94
% 0.51/0.94 paramod(
% 0.51/0.94 clause( 524, [ =( multiply( 'additive_inverse'( X ), Y ),
% 0.51/0.94 'additive_inverse'( add( multiply( add( X, Z ), Y ), multiply(
% 0.51/0.94 'additive_inverse'( Z ), Y ) ) ) ) ] )
% 0.51/0.94 , clause( 46, [ =( add( 'additive_inverse'( Y ), 'additive_inverse'( X ) )
% 0.51/0.94 , 'additive_inverse'( add( Y, X ) ) ) ] )
% 0.51/0.94 , 0, clause( 523, [ =( multiply( 'additive_inverse'( X ), Y ), add(
% 0.51/0.94 'additive_inverse'( multiply( add( X, Z ), Y ) ), 'additive_inverse'(
% 0.51/0.94 multiply( 'additive_inverse'( Z ), Y ) ) ) ) ] )
% 0.51/0.94 , 0, 5, substitution( 0, [ :=( X, multiply( 'additive_inverse'( Z ), Y ) )
% 0.51/0.94 , :=( Y, multiply( add( X, Z ), Y ) )] ), substitution( 1, [ :=( X, X ),
% 0.51/0.94 :=( Y, Y ), :=( Z, Z )] )).
% 0.51/0.94
% 0.51/0.94
% 0.51/0.94 paramod(
% 0.51/0.94 clause( 525, [ =( multiply( 'additive_inverse'( X ), Y ),
% 0.51/0.94 'additive_inverse'( multiply( add( add( X, Z ), 'additive_inverse'( Z ) )
% 0.51/0.94 , Y ) ) ) ] )
% 0.51/0.94 , clause( 8, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply( add(
% 0.51/0.94 X, Y ), Z ) ) ] )
% 0.51/0.94 , 0, clause( 524, [ =( multiply( 'additive_inverse'( X ), Y ),
% 0.51/0.94 'additive_inverse'( add( multiply( add( X, Z ), Y ), multiply(
% 0.51/0.94 'additive_inverse'( Z ), Y ) ) ) ) ] )
% 0.51/0.94 , 0, 6, substitution( 0, [ :=( X, add( X, Z ) ), :=( Y, 'additive_inverse'(
% 0.51/0.94 Z ) ), :=( Z, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z
% 0.51/0.94 )] )).
% 0.51/0.94
% 0.51/0.94
% 0.51/0.94 paramod(
% 0.51/0.94 clause( 526, [ =( multiply( 'additive_inverse'( X ), Y ),
% 0.51/0.94 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 0.51/0.94 , clause( 19, [ =( add( add( Y, X ), 'additive_inverse'( X ) ), Y ) ] )
% 0.51/0.94 , 0, clause( 525, [ =( multiply( 'additive_inverse'( X ), Y ),
% 0.51/0.94 'additive_inverse'( multiply( add( add( X, Z ), 'additive_inverse'( Z ) )
% 0.51/0.94 , Y ) ) ) ] )
% 0.51/0.94 , 0, 7, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 0.51/0.94 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.51/0.94
% 0.51/0.94
% 0.51/0.94 subsumption(
% 0.51/0.94 clause( 204, [ =( multiply( 'additive_inverse'( Y ), Z ),
% 0.51/0.94 'additive_inverse'( multiply( Y, Z ) ) ) ] )
% 0.51/0.94 , clause( 526, [ =( multiply( 'additive_inverse'( X ), Y ),
% 0.51/0.94 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 0.51/0.94 , substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), permutation( 0, [ ==>( 0, 0
% 0.51/0.94 )] ) ).
% 0.51/0.94
% 0.51/0.94
% 0.51/0.94 paramod(
% 0.51/0.94 clause( 530, [ ~( =( 'additive_inverse'( multiply( x, add( y, z ) ) ),
% 0.51/0.94 'additive_inverse'( multiply( x, add( y, z ) ) ) ) ) ] )
% 0.51/0.94 , clause( 204, [ =( multiply( 'additive_inverse'( Y ), Z ),
% 0.51/0.94 'additive_inverse'( multiply( Y, Z ) ) ) ] )
% 0.51/0.94 , 0, clause( 130, [ ~( =( multiply( 'additive_inverse'( x ), add( y, z ) )
% 0.51/0.94 , 'additive_inverse'( multiply( x, add( y, z ) ) ) ) ) ] )
% 0.51/0.94 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, x ), :=( Z, add( y, z ) )] )
% 0.51/0.94 , substitution( 1, [] )).
% 0.51/0.94
% 0.51/0.94
% 0.51/0.94 eqrefl(
% 0.51/0.94 clause( 531, [] )
% 0.51/0.94 , clause( 530, [ ~( =( 'additive_inverse'( multiply( x, add( y, z ) ) ),
% 0.51/0.94 'additive_inverse'( multiply( x, add( y, z ) ) ) ) ) ] )
% 0.51/0.94 , 0, substitution( 0, [] )).
% 0.51/0.94
% 0.51/0.94
% 0.51/0.94 subsumption(
% 0.51/0.94 clause( 373, [] )
% 0.51/0.94 , clause( 531, [] )
% 0.51/0.94 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.51/0.94
% 0.51/0.94
% 0.51/0.94 end.
% 0.51/0.94
% 0.51/0.94 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.51/0.94
% 0.51/0.94 Memory use:
% 0.51/0.94
% 0.51/0.94 space for terms: 5418
% 0.51/0.94 space for clauses: 44351
% 0.51/0.94
% 0.51/0.94
% 0.51/0.94 clauses generated: 15583
% 0.51/0.94 clauses kept: 374
% 0.51/0.94 clauses selected: 129
% 0.51/0.94 clauses deleted: 31
% 0.51/0.94 clauses inuse deleted: 0
% 0.51/0.94
% 0.51/0.94 subsentry: 2672
% 0.51/0.94 literals s-matched: 2363
% 0.51/0.94 literals matched: 2346
% 0.51/0.94 full subsumption: 0
% 0.51/0.94
% 0.51/0.94 checksum: 1054982944
% 0.51/0.94
% 0.51/0.94
% 0.51/0.94 Bliksem ended
%------------------------------------------------------------------------------