TSTP Solution File: RNG008-3 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : RNG008-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n023.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 20:16:04 EDT 2022
% Result : Unsatisfiable 0.69s 1.09s
% Output : Refutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG008-3 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Mon May 30 19:03:57 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.69/1.09 *** allocated 10000 integers for termspace/termends
% 0.69/1.09 *** allocated 10000 integers for clauses
% 0.69/1.09 *** allocated 10000 integers for justifications
% 0.69/1.09 Bliksem 1.12
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Automatic Strategy Selection
% 0.69/1.09
% 0.69/1.09 Clauses:
% 0.69/1.09 [
% 0.69/1.09 [ =( add( 'additive_identity', X ), X ) ],
% 0.69/1.09 [ =( add( 'additive_inverse'( X ), X ), 'additive_identity' ) ],
% 0.69/1.09 [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ), multiply( X, Z )
% 0.69/1.09 ) ) ],
% 0.69/1.09 [ =( multiply( add( X, Y ), Z ), add( multiply( X, Z ), multiply( Y, Z )
% 0.69/1.09 ) ) ],
% 0.69/1.09 [ =( 'additive_inverse'( 'additive_identity' ), 'additive_identity' ) ]
% 0.69/1.09 ,
% 0.69/1.09 [ =( 'additive_inverse'( 'additive_inverse'( X ) ), X ) ],
% 0.69/1.09 [ =( multiply( X, 'additive_identity' ), 'additive_identity' ) ],
% 0.69/1.09 [ =( multiply( 'additive_identity', X ), 'additive_identity' ) ],
% 0.69/1.09 [ =( 'additive_inverse'( add( X, Y ) ), add( 'additive_inverse'( X ),
% 0.69/1.09 'additive_inverse'( Y ) ) ) ],
% 0.69/1.09 [ =( multiply( X, 'additive_inverse'( Y ) ), 'additive_inverse'(
% 0.69/1.09 multiply( X, Y ) ) ) ],
% 0.69/1.09 [ =( multiply( 'additive_inverse'( X ), Y ), 'additive_inverse'(
% 0.69/1.09 multiply( X, Y ) ) ) ],
% 0.69/1.09 [ =( add( add( X, Y ), Z ), add( X, add( Y, Z ) ) ) ],
% 0.69/1.09 [ =( add( X, Y ), add( Y, X ) ) ],
% 0.69/1.09 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 0.69/1.09 ],
% 0.69/1.09 [ =( add( X, 'additive_identity' ), X ) ],
% 0.69/1.09 [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity' ) ],
% 0.69/1.09 [ =( multiply( X, X ), X ) ],
% 0.69/1.09 [ =( multiply( a, b ), c ) ],
% 0.69/1.09 [ ~( =( multiply( b, a ), c ) ) ]
% 0.69/1.09 ] .
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 percentage equality = 1.000000, percentage horn = 1.000000
% 0.69/1.09 This is a pure equality problem
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Options Used:
% 0.69/1.09
% 0.69/1.09 useres = 1
% 0.69/1.09 useparamod = 1
% 0.69/1.09 useeqrefl = 1
% 0.69/1.09 useeqfact = 1
% 0.69/1.09 usefactor = 1
% 0.69/1.09 usesimpsplitting = 0
% 0.69/1.09 usesimpdemod = 5
% 0.69/1.09 usesimpres = 3
% 0.69/1.09
% 0.69/1.09 resimpinuse = 1000
% 0.69/1.09 resimpclauses = 20000
% 0.69/1.09 substype = eqrewr
% 0.69/1.09 backwardsubs = 1
% 0.69/1.09 selectoldest = 5
% 0.69/1.09
% 0.69/1.09 litorderings [0] = split
% 0.69/1.09 litorderings [1] = extend the termordering, first sorting on arguments
% 0.69/1.09
% 0.69/1.09 termordering = kbo
% 0.69/1.09
% 0.69/1.09 litapriori = 0
% 0.69/1.09 termapriori = 1
% 0.69/1.09 litaposteriori = 0
% 0.69/1.09 termaposteriori = 0
% 0.69/1.09 demodaposteriori = 0
% 0.69/1.09 ordereqreflfact = 0
% 0.69/1.09
% 0.69/1.09 litselect = negord
% 0.69/1.09
% 0.69/1.09 maxweight = 15
% 0.69/1.09 maxdepth = 30000
% 0.69/1.09 maxlength = 115
% 0.69/1.09 maxnrvars = 195
% 0.69/1.09 excuselevel = 1
% 0.69/1.09 increasemaxweight = 1
% 0.69/1.09
% 0.69/1.09 maxselected = 10000000
% 0.69/1.09 maxnrclauses = 10000000
% 0.69/1.09
% 0.69/1.09 showgenerated = 0
% 0.69/1.09 showkept = 0
% 0.69/1.09 showselected = 0
% 0.69/1.09 showdeleted = 0
% 0.69/1.09 showresimp = 1
% 0.69/1.09 showstatus = 2000
% 0.69/1.09
% 0.69/1.09 prologoutput = 1
% 0.69/1.09 nrgoals = 5000000
% 0.69/1.09 totalproof = 1
% 0.69/1.09
% 0.69/1.09 Symbols occurring in the translation:
% 0.69/1.09
% 0.69/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.69/1.09 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.69/1.09 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.69/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.09 'additive_identity' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.69/1.09 add [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.69/1.09 'additive_inverse' [42, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.69/1.09 multiply [45, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.69/1.09 a [46, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.69/1.09 b [47, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.69/1.09 c [48, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Starting Search:
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Bliksems!, er is een bewijs:
% 0.69/1.09 % SZS status Unsatisfiable
% 0.69/1.09 % SZS output start Refutation
% 0.69/1.09
% 0.69/1.09 clause( 0, [ =( add( 'additive_identity', X ), X ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 1, [ =( add( 'additive_inverse'( X ), X ), 'additive_identity' ) ]
% 0.69/1.09 )
% 0.69/1.09 .
% 0.69/1.09 clause( 2, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X, add(
% 0.69/1.09 Y, Z ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 3, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply( add( X
% 0.69/1.09 , Y ), Z ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 5, [ =( 'additive_inverse'( 'additive_inverse'( X ) ), X ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 9, [ =( multiply( X, 'additive_inverse'( Y ) ), 'additive_inverse'(
% 0.69/1.09 multiply( X, Y ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 10, [ =( multiply( 'additive_inverse'( X ), Y ), 'additive_inverse'(
% 0.69/1.09 multiply( X, Y ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 11, [ =( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 12, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 14, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 16, [ =( multiply( X, X ), X ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 17, [ =( multiply( a, b ), c ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 18, [ ~( =( multiply( b, a ), c ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 19, [ =( 'additive_inverse'( X ), X ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 20, [ =( add( X, X ), 'additive_identity' ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 24, [ =( multiply( X, add( X, Y ) ), add( X, multiply( X, Y ) ) ) ]
% 0.69/1.09 )
% 0.69/1.09 .
% 0.69/1.09 clause( 25, [ =( multiply( X, add( Y, X ) ), add( multiply( X, Y ), X ) ) ]
% 0.69/1.09 )
% 0.69/1.09 .
% 0.69/1.09 clause( 38, [ =( multiply( add( X, Y ), X ), add( X, multiply( Y, X ) ) ) ]
% 0.69/1.09 )
% 0.69/1.09 .
% 0.69/1.09 clause( 66, [ =( add( add( Y, X ), X ), Y ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 75, [ =( add( add( Y, X ), Y ), X ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 115, [ =( add( Y, multiply( X, Y ) ), add( multiply( Y, X ), Y ) )
% 0.69/1.09 ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 120, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 155, [] )
% 0.69/1.09 .
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 % SZS output end Refutation
% 0.69/1.09 found a proof!
% 0.69/1.09
% 0.69/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.09
% 0.69/1.09 initialclauses(
% 0.69/1.09 [ clause( 157, [ =( add( 'additive_identity', X ), X ) ] )
% 0.69/1.09 , clause( 158, [ =( add( 'additive_inverse'( X ), X ), 'additive_identity'
% 0.69/1.09 ) ] )
% 0.69/1.09 , clause( 159, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.69/1.09 multiply( X, Z ) ) ) ] )
% 0.69/1.09 , clause( 160, [ =( multiply( add( X, Y ), Z ), add( multiply( X, Z ),
% 0.69/1.09 multiply( Y, Z ) ) ) ] )
% 0.69/1.09 , clause( 161, [ =( 'additive_inverse'( 'additive_identity' ),
% 0.69/1.09 'additive_identity' ) ] )
% 0.69/1.09 , clause( 162, [ =( 'additive_inverse'( 'additive_inverse'( X ) ), X ) ] )
% 0.69/1.09 , clause( 163, [ =( multiply( X, 'additive_identity' ), 'additive_identity'
% 0.69/1.09 ) ] )
% 0.69/1.09 , clause( 164, [ =( multiply( 'additive_identity', X ), 'additive_identity'
% 0.69/1.09 ) ] )
% 0.69/1.09 , clause( 165, [ =( 'additive_inverse'( add( X, Y ) ), add(
% 0.69/1.09 'additive_inverse'( X ), 'additive_inverse'( Y ) ) ) ] )
% 0.69/1.09 , clause( 166, [ =( multiply( X, 'additive_inverse'( Y ) ),
% 0.69/1.09 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 0.69/1.09 , clause( 167, [ =( multiply( 'additive_inverse'( X ), Y ),
% 0.69/1.09 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 0.69/1.09 , clause( 168, [ =( add( add( X, Y ), Z ), add( X, add( Y, Z ) ) ) ] )
% 0.69/1.09 , clause( 169, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.69/1.09 , clause( 170, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.69/1.09 Y, Z ) ) ) ] )
% 0.69/1.09 , clause( 171, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.69/1.09 , clause( 172, [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity'
% 0.69/1.09 ) ] )
% 0.69/1.09 , clause( 173, [ =( multiply( X, X ), X ) ] )
% 0.69/1.09 , clause( 174, [ =( multiply( a, b ), c ) ] )
% 0.69/1.09 , clause( 175, [ ~( =( multiply( b, a ), c ) ) ] )
% 0.69/1.09 ] ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 0, [ =( add( 'additive_identity', X ), X ) ] )
% 0.69/1.09 , clause( 157, [ =( add( 'additive_identity', X ), X ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 1, [ =( add( 'additive_inverse'( X ), X ), 'additive_identity' ) ]
% 0.69/1.09 )
% 0.69/1.09 , clause( 158, [ =( add( 'additive_inverse'( X ), X ), 'additive_identity'
% 0.69/1.09 ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 181, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.69/1.09 add( Y, Z ) ) ) ] )
% 0.69/1.09 , clause( 159, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.69/1.09 multiply( X, Z ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 2, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X, add(
% 0.69/1.09 Y, Z ) ) ) ] )
% 0.69/1.09 , clause( 181, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X
% 0.69/1.09 , add( Y, Z ) ) ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 185, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply( add(
% 0.69/1.09 X, Y ), Z ) ) ] )
% 0.69/1.09 , clause( 160, [ =( multiply( add( X, Y ), Z ), add( multiply( X, Z ),
% 0.69/1.09 multiply( Y, Z ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 3, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply( add( X
% 0.69/1.09 , Y ), Z ) ) ] )
% 0.69/1.09 , clause( 185, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply(
% 0.69/1.09 add( X, Y ), Z ) ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 5, [ =( 'additive_inverse'( 'additive_inverse'( X ) ), X ) ] )
% 0.69/1.09 , clause( 162, [ =( 'additive_inverse'( 'additive_inverse'( X ) ), X ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 9, [ =( multiply( X, 'additive_inverse'( Y ) ), 'additive_inverse'(
% 0.69/1.09 multiply( X, Y ) ) ) ] )
% 0.69/1.09 , clause( 166, [ =( multiply( X, 'additive_inverse'( Y ) ),
% 0.69/1.09 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.09 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 10, [ =( multiply( 'additive_inverse'( X ), Y ), 'additive_inverse'(
% 0.69/1.09 multiply( X, Y ) ) ) ] )
% 0.69/1.09 , clause( 167, [ =( multiply( 'additive_inverse'( X ), Y ),
% 0.69/1.09 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.09 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 224, [ =( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ] )
% 0.69/1.09 , clause( 168, [ =( add( add( X, Y ), Z ), add( X, add( Y, Z ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 11, [ =( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ] )
% 0.69/1.09 , clause( 224, [ =( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 12, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.69/1.09 , clause( 169, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.09 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 14, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.69/1.09 , clause( 171, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 16, [ =( multiply( X, X ), X ) ] )
% 0.69/1.09 , clause( 173, [ =( multiply( X, X ), X ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 17, [ =( multiply( a, b ), c ) ] )
% 0.69/1.09 , clause( 174, [ =( multiply( a, b ), c ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 18, [ ~( =( multiply( b, a ), c ) ) ] )
% 0.69/1.09 , clause( 175, [ ~( =( multiply( b, a ), c ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 302, [ =( 'additive_inverse'( multiply( X, Y ) ), multiply(
% 0.69/1.09 'additive_inverse'( X ), Y ) ) ] )
% 0.69/1.09 , clause( 10, [ =( multiply( 'additive_inverse'( X ), Y ),
% 0.69/1.09 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 308, [ =( 'additive_inverse'( multiply( X, 'additive_inverse'( X )
% 0.69/1.09 ) ), 'additive_inverse'( X ) ) ] )
% 0.69/1.09 , clause( 16, [ =( multiply( X, X ), X ) ] )
% 0.69/1.09 , 0, clause( 302, [ =( 'additive_inverse'( multiply( X, Y ) ), multiply(
% 0.69/1.09 'additive_inverse'( X ), Y ) ) ] )
% 0.69/1.09 , 0, 6, substitution( 0, [ :=( X, 'additive_inverse'( X ) )] ),
% 0.69/1.09 substitution( 1, [ :=( X, X ), :=( Y, 'additive_inverse'( X ) )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 309, [ =( 'additive_inverse'( 'additive_inverse'( multiply( X, X )
% 0.69/1.09 ) ), 'additive_inverse'( X ) ) ] )
% 0.69/1.09 , clause( 9, [ =( multiply( X, 'additive_inverse'( Y ) ),
% 0.69/1.09 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 0.69/1.09 , 0, clause( 308, [ =( 'additive_inverse'( multiply( X, 'additive_inverse'(
% 0.69/1.09 X ) ) ), 'additive_inverse'( X ) ) ] )
% 0.69/1.09 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 0.69/1.09 :=( X, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 310, [ =( multiply( X, X ), 'additive_inverse'( X ) ) ] )
% 0.69/1.09 , clause( 5, [ =( 'additive_inverse'( 'additive_inverse'( X ) ), X ) ] )
% 0.69/1.09 , 0, clause( 309, [ =( 'additive_inverse'( 'additive_inverse'( multiply( X
% 0.69/1.09 , X ) ) ), 'additive_inverse'( X ) ) ] )
% 0.69/1.09 , 0, 1, substitution( 0, [ :=( X, multiply( X, X ) )] ), substitution( 1, [
% 0.69/1.09 :=( X, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 311, [ =( X, 'additive_inverse'( X ) ) ] )
% 0.69/1.09 , clause( 16, [ =( multiply( X, X ), X ) ] )
% 0.69/1.09 , 0, clause( 310, [ =( multiply( X, X ), 'additive_inverse'( X ) ) ] )
% 0.69/1.09 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.69/1.09 ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 312, [ =( 'additive_inverse'( X ), X ) ] )
% 0.69/1.09 , clause( 311, [ =( X, 'additive_inverse'( X ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 19, [ =( 'additive_inverse'( X ), X ) ] )
% 0.69/1.09 , clause( 312, [ =( 'additive_inverse'( X ), X ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 314, [ =( 'additive_identity', add( 'additive_inverse'( X ), X ) )
% 0.69/1.09 ] )
% 0.69/1.09 , clause( 1, [ =( add( 'additive_inverse'( X ), X ), 'additive_identity' )
% 0.69/1.09 ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 315, [ =( 'additive_identity', add( X, X ) ) ] )
% 0.69/1.09 , clause( 19, [ =( 'additive_inverse'( X ), X ) ] )
% 0.69/1.09 , 0, clause( 314, [ =( 'additive_identity', add( 'additive_inverse'( X ), X
% 0.69/1.09 ) ) ] )
% 0.69/1.09 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.69/1.09 ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 316, [ =( add( X, X ), 'additive_identity' ) ] )
% 0.69/1.09 , clause( 315, [ =( 'additive_identity', add( X, X ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 20, [ =( add( X, X ), 'additive_identity' ) ] )
% 0.69/1.09 , clause( 316, [ =( add( X, X ), 'additive_identity' ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 318, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.69/1.09 multiply( X, Z ) ) ) ] )
% 0.69/1.09 , clause( 2, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.69/1.09 add( Y, Z ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 320, [ =( multiply( X, add( X, Y ) ), add( X, multiply( X, Y ) ) )
% 0.69/1.09 ] )
% 0.69/1.09 , clause( 16, [ =( multiply( X, X ), X ) ] )
% 0.69/1.09 , 0, clause( 318, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.69/1.09 multiply( X, Z ) ) ) ] )
% 0.69/1.09 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.69/1.09 :=( Y, X ), :=( Z, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 24, [ =( multiply( X, add( X, Y ) ), add( X, multiply( X, Y ) ) ) ]
% 0.69/1.09 )
% 0.69/1.09 , clause( 320, [ =( multiply( X, add( X, Y ) ), add( X, multiply( X, Y ) )
% 0.69/1.09 ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.09 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 326, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.69/1.09 multiply( X, Z ) ) ) ] )
% 0.69/1.09 , clause( 2, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.69/1.09 add( Y, Z ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 329, [ =( multiply( X, add( Y, X ) ), add( multiply( X, Y ), X ) )
% 0.69/1.09 ] )
% 0.69/1.09 , clause( 16, [ =( multiply( X, X ), X ) ] )
% 0.69/1.09 , 0, clause( 326, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.69/1.09 multiply( X, Z ) ) ) ] )
% 0.69/1.09 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.69/1.09 :=( Y, Y ), :=( Z, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 25, [ =( multiply( X, add( Y, X ) ), add( multiply( X, Y ), X ) ) ]
% 0.69/1.09 )
% 0.69/1.09 , clause( 329, [ =( multiply( X, add( Y, X ) ), add( multiply( X, Y ), X )
% 0.69/1.09 ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.09 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 334, [ =( multiply( add( X, Z ), Y ), add( multiply( X, Y ),
% 0.69/1.09 multiply( Z, Y ) ) ) ] )
% 0.69/1.09 , clause( 3, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply( add(
% 0.69/1.09 X, Y ), Z ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 336, [ =( multiply( add( X, Y ), X ), add( X, multiply( Y, X ) ) )
% 0.69/1.09 ] )
% 0.69/1.09 , clause( 16, [ =( multiply( X, X ), X ) ] )
% 0.69/1.09 , 0, clause( 334, [ =( multiply( add( X, Z ), Y ), add( multiply( X, Y ),
% 0.69/1.09 multiply( Z, Y ) ) ) ] )
% 0.69/1.09 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.69/1.09 :=( Y, X ), :=( Z, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 38, [ =( multiply( add( X, Y ), X ), add( X, multiply( Y, X ) ) ) ]
% 0.69/1.09 )
% 0.69/1.09 , clause( 336, [ =( multiply( add( X, Y ), X ), add( X, multiply( Y, X ) )
% 0.69/1.09 ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.09 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 342, [ =( add( add( X, Y ), Z ), add( X, add( Y, Z ) ) ) ] )
% 0.69/1.09 , clause( 11, [ =( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 348, [ =( add( add( X, Y ), Y ), add( X, 'additive_identity' ) ) ]
% 0.69/1.09 )
% 0.69/1.09 , clause( 20, [ =( add( X, X ), 'additive_identity' ) ] )
% 0.69/1.09 , 0, clause( 342, [ =( add( add( X, Y ), Z ), add( X, add( Y, Z ) ) ) ] )
% 0.69/1.09 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.69/1.09 :=( Y, Y ), :=( Z, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 349, [ =( add( add( X, Y ), Y ), X ) ] )
% 0.69/1.09 , clause( 14, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.69/1.09 , 0, clause( 348, [ =( add( add( X, Y ), Y ), add( X, 'additive_identity' )
% 0.69/1.09 ) ] )
% 0.69/1.09 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.69/1.09 :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 66, [ =( add( add( Y, X ), X ), Y ) ] )
% 0.69/1.09 , clause( 349, [ =( add( add( X, Y ), Y ), X ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.09 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 351, [ =( X, add( add( X, Y ), Y ) ) ] )
% 0.69/1.09 , clause( 66, [ =( add( add( Y, X ), X ), Y ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 353, [ =( X, add( Y, add( X, Y ) ) ) ] )
% 0.69/1.09 , clause( 12, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.69/1.09 , 0, clause( 351, [ =( X, add( add( X, Y ), Y ) ) ] )
% 0.69/1.09 , 0, 2, substitution( 0, [ :=( X, add( X, Y ) ), :=( Y, Y )] ),
% 0.69/1.09 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 359, [ =( X, add( add( Y, X ), Y ) ) ] )
% 0.69/1.09 , clause( 11, [ =( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ] )
% 0.69/1.09 , 0, clause( 353, [ =( X, add( Y, add( X, Y ) ) ) ] )
% 0.69/1.09 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Y )] ),
% 0.69/1.09 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 360, [ =( add( add( Y, X ), Y ), X ) ] )
% 0.69/1.09 , clause( 359, [ =( X, add( add( Y, X ), Y ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 75, [ =( add( add( Y, X ), Y ), X ) ] )
% 0.69/1.09 , clause( 360, [ =( add( add( Y, X ), Y ), X ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.09 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 362, [ =( add( X, multiply( Y, X ) ), multiply( add( X, Y ), X ) )
% 0.69/1.09 ] )
% 0.69/1.09 , clause( 38, [ =( multiply( add( X, Y ), X ), add( X, multiply( Y, X ) ) )
% 0.69/1.09 ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 367, [ =( add( add( X, Y ), multiply( X, add( X, Y ) ) ), multiply(
% 0.69/1.09 Y, add( X, Y ) ) ) ] )
% 0.69/1.09 , clause( 75, [ =( add( add( Y, X ), Y ), X ) ] )
% 0.69/1.09 , 0, clause( 362, [ =( add( X, multiply( Y, X ) ), multiply( add( X, Y ), X
% 0.69/1.09 ) ) ] )
% 0.69/1.09 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.69/1.09 :=( X, add( X, Y ) ), :=( Y, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 368, [ =( add( add( X, Y ), multiply( X, add( X, Y ) ) ), add(
% 0.69/1.09 multiply( Y, X ), Y ) ) ] )
% 0.69/1.09 , clause( 25, [ =( multiply( X, add( Y, X ) ), add( multiply( X, Y ), X ) )
% 0.69/1.09 ] )
% 0.69/1.09 , 0, clause( 367, [ =( add( add( X, Y ), multiply( X, add( X, Y ) ) ),
% 0.69/1.09 multiply( Y, add( X, Y ) ) ) ] )
% 0.69/1.09 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.69/1.09 :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 369, [ =( add( add( X, Y ), add( X, multiply( X, Y ) ) ), add(
% 0.69/1.09 multiply( Y, X ), Y ) ) ] )
% 0.69/1.09 , clause( 24, [ =( multiply( X, add( X, Y ) ), add( X, multiply( X, Y ) ) )
% 0.69/1.09 ] )
% 0.69/1.09 , 0, clause( 368, [ =( add( add( X, Y ), multiply( X, add( X, Y ) ) ), add(
% 0.69/1.09 multiply( Y, X ), Y ) ) ] )
% 0.69/1.09 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.69/1.09 :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 370, [ =( add( add( add( X, Y ), X ), multiply( X, Y ) ), add(
% 0.69/1.09 multiply( Y, X ), Y ) ) ] )
% 0.69/1.09 , clause( 11, [ =( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ] )
% 0.69/1.09 , 0, clause( 369, [ =( add( add( X, Y ), add( X, multiply( X, Y ) ) ), add(
% 0.69/1.09 multiply( Y, X ), Y ) ) ] )
% 0.69/1.09 , 0, 1, substitution( 0, [ :=( X, add( X, Y ) ), :=( Y, X ), :=( Z,
% 0.69/1.09 multiply( X, Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 371, [ =( add( Y, multiply( X, Y ) ), add( multiply( Y, X ), Y ) )
% 0.69/1.09 ] )
% 0.69/1.09 , clause( 75, [ =( add( add( Y, X ), Y ), X ) ] )
% 0.69/1.09 , 0, clause( 370, [ =( add( add( add( X, Y ), X ), multiply( X, Y ) ), add(
% 0.69/1.09 multiply( Y, X ), Y ) ) ] )
% 0.69/1.09 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.69/1.09 :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 115, [ =( add( Y, multiply( X, Y ) ), add( multiply( Y, X ), Y ) )
% 0.69/1.09 ] )
% 0.69/1.09 , clause( 371, [ =( add( Y, multiply( X, Y ) ), add( multiply( Y, X ), Y )
% 0.69/1.09 ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.09 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 374, [ =( add( multiply( X, Y ), X ), add( X, multiply( Y, X ) ) )
% 0.69/1.09 ] )
% 0.69/1.09 , clause( 115, [ =( add( Y, multiply( X, Y ) ), add( multiply( Y, X ), Y )
% 0.69/1.09 ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 384, [ =( add( multiply( X, add( X, Y ) ), X ), add( X, add( X,
% 0.69/1.09 multiply( Y, X ) ) ) ) ] )
% 0.69/1.09 , clause( 38, [ =( multiply( add( X, Y ), X ), add( X, multiply( Y, X ) ) )
% 0.69/1.09 ] )
% 0.69/1.09 , 0, clause( 374, [ =( add( multiply( X, Y ), X ), add( X, multiply( Y, X )
% 0.69/1.09 ) ) ] )
% 0.69/1.09 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.69/1.09 :=( X, X ), :=( Y, add( X, Y ) )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 385, [ =( add( multiply( X, add( X, Y ) ), X ), add( add( X, X ),
% 0.69/1.09 multiply( Y, X ) ) ) ] )
% 0.69/1.09 , clause( 11, [ =( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ] )
% 0.69/1.09 , 0, clause( 384, [ =( add( multiply( X, add( X, Y ) ), X ), add( X, add( X
% 0.69/1.09 , multiply( Y, X ) ) ) ) ] )
% 0.69/1.09 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, multiply( Y, X )
% 0.69/1.09 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 386, [ =( add( multiply( X, add( X, Y ) ), X ), add(
% 0.69/1.09 'additive_identity', multiply( Y, X ) ) ) ] )
% 0.69/1.09 , clause( 20, [ =( add( X, X ), 'additive_identity' ) ] )
% 0.69/1.09 , 0, clause( 385, [ =( add( multiply( X, add( X, Y ) ), X ), add( add( X, X
% 0.69/1.09 ), multiply( Y, X ) ) ) ] )
% 0.69/1.09 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.69/1.09 :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 387, [ =( add( multiply( X, add( X, Y ) ), X ), multiply( Y, X ) )
% 0.69/1.09 ] )
% 0.69/1.09 , clause( 0, [ =( add( 'additive_identity', X ), X ) ] )
% 0.69/1.09 , 0, clause( 386, [ =( add( multiply( X, add( X, Y ) ), X ), add(
% 0.69/1.09 'additive_identity', multiply( Y, X ) ) ) ] )
% 0.69/1.09 , 0, 8, substitution( 0, [ :=( X, multiply( Y, X ) )] ), substitution( 1, [
% 0.69/1.09 :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 388, [ =( add( add( X, multiply( X, Y ) ), X ), multiply( Y, X ) )
% 0.69/1.09 ] )
% 0.69/1.09 , clause( 24, [ =( multiply( X, add( X, Y ) ), add( X, multiply( X, Y ) ) )
% 0.69/1.09 ] )
% 0.69/1.09 , 0, clause( 387, [ =( add( multiply( X, add( X, Y ) ), X ), multiply( Y, X
% 0.69/1.09 ) ) ] )
% 0.69/1.09 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.69/1.09 :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 389, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.69/1.09 , clause( 75, [ =( add( add( Y, X ), Y ), X ) ] )
% 0.69/1.09 , 0, clause( 388, [ =( add( add( X, multiply( X, Y ) ), X ), multiply( Y, X
% 0.69/1.09 ) ) ] )
% 0.69/1.09 , 0, 1, substitution( 0, [ :=( X, multiply( X, Y ) ), :=( Y, X )] ),
% 0.69/1.09 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 120, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 0.69/1.09 , clause( 389, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.09 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 390, [ =( c, multiply( a, b ) ) ] )
% 0.69/1.09 , clause( 17, [ =( multiply( a, b ), c ) ] )
% 0.69/1.09 , 0, substitution( 0, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 391, [ ~( =( c, multiply( b, a ) ) ) ] )
% 0.69/1.09 , clause( 18, [ ~( =( multiply( b, a ), c ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 392, [ =( c, multiply( b, a ) ) ] )
% 0.69/1.09 , clause( 120, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 0.69/1.09 , 0, clause( 390, [ =( c, multiply( a, b ) ) ] )
% 0.69/1.09 , 0, 2, substitution( 0, [ :=( X, b ), :=( Y, a )] ), substitution( 1, [] )
% 0.69/1.09 ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 394, [] )
% 0.69/1.09 , clause( 391, [ ~( =( c, multiply( b, a ) ) ) ] )
% 0.69/1.09 , 0, clause( 392, [ =( c, multiply( b, a ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 155, [] )
% 0.69/1.09 , clause( 394, [] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 end.
% 0.69/1.09
% 0.69/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.09
% 0.69/1.09 Memory use:
% 0.69/1.09
% 0.69/1.09 space for terms: 2206
% 0.69/1.09 space for clauses: 16106
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 clauses generated: 1175
% 0.69/1.09 clauses kept: 156
% 0.69/1.09 clauses selected: 39
% 0.69/1.09 clauses deleted: 3
% 0.69/1.09 clauses inuse deleted: 0
% 0.69/1.09
% 0.69/1.09 subsentry: 1377
% 0.69/1.09 literals s-matched: 835
% 0.69/1.09 literals matched: 827
% 0.69/1.09 full subsumption: 0
% 0.69/1.09
% 0.69/1.09 checksum: 198491237
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Bliksem ended
%------------------------------------------------------------------------------