TSTP Solution File: ALG002-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG002-1 : 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 : Thu Jul 14 12:09:03 EDT 2022
% Result : Unsatisfiable 0.47s 0.92s
% Output : Refutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : ALG002-1 : TPTP v8.1.0. Released v1.0.0.
% 0.02/0.10 % Command : bliksem %s
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % DateTime : Wed Jun 8 11:15:36 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.47/0.92 *** allocated 10000 integers for termspace/termends
% 0.47/0.92 *** allocated 10000 integers for clauses
% 0.47/0.92 *** allocated 10000 integers for justifications
% 0.47/0.92 Bliksem 1.12
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 Automatic Strategy Selection
% 0.47/0.92
% 0.47/0.92 Clauses:
% 0.47/0.92 [
% 0.47/0.92 [ product( X, 'multiplicative_identity', X ) ],
% 0.47/0.92 [ ~( product( 'multiplicative_identity', 'multiplicative_identity',
% 0.47/0.92 'additive_identity' ) ) ],
% 0.47/0.92 [ ~( product( X, Y, Z ) ), product( 'additive_inverse'( X ),
% 0.47/0.92 'additive_inverse'( Y ), Z ) ],
% 0.47/0.92 [ product( X, Y, Z ), ~( product( 'additive_inverse'( X ),
% 0.47/0.92 'additive_inverse'( Y ), Z ) ) ],
% 0.47/0.92 [ ~( product( X, Y, Z ) ), product( X, 'additive_inverse'( Y ),
% 0.47/0.92 'additive_inverse'( Z ) ) ],
% 0.47/0.92 [ product( X, 'multiplicative_inverse'( X ), 'multiplicative_identity' )
% 0.47/0.92 , product( X, X, 'additive_identity' ) ],
% 0.47/0.92 [ ~( 'greater_than_0'( X ) ), ~( 'greater_than_0'( 'additive_inverse'( X
% 0.47/0.92 ) ) ) ],
% 0.47/0.92 [ ~( 'greater_than_0'( X ) ), ~( product( X, X, 'additive_identity' ) )
% 0.47/0.92 ],
% 0.47/0.92 [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ],
% 0.47/0.92 [ 'greater_than_0'( X ), product( X, X, 'additive_identity' ),
% 0.47/0.92 'greater_than_0'( 'additive_inverse'( X ) ) ],
% 0.47/0.92 [ ~( product( X, Y, Z ) ), ~( product( X, X, 'additive_identity' ) ),
% 0.47/0.92 product( Z, Z, 'additive_identity' ) ],
% 0.47/0.92 [ ~( product( X, Y, Z ) ), ~( 'greater_than_0'( X ) ), ~(
% 0.47/0.92 'greater_than_0'( Y ) ), 'greater_than_0'( Z ) ],
% 0.47/0.92 [ 'greater_than_0'( a ) ],
% 0.47/0.92 [ ~( 'greater_than_0'( 'multiplicative_inverse'( a ) ) ) ]
% 0.47/0.92 ] .
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 percentage equality = 0.000000, percentage horn = 0.857143
% 0.47/0.92 This a non-horn, non-equality problem
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 Options Used:
% 0.47/0.92
% 0.47/0.92 useres = 1
% 0.47/0.92 useparamod = 0
% 0.47/0.92 useeqrefl = 0
% 0.47/0.92 useeqfact = 0
% 0.47/0.92 usefactor = 1
% 0.47/0.92 usesimpsplitting = 0
% 0.47/0.92 usesimpdemod = 0
% 0.47/0.92 usesimpres = 3
% 0.47/0.92
% 0.47/0.92 resimpinuse = 1000
% 0.47/0.92 resimpclauses = 20000
% 0.47/0.92 substype = standard
% 0.47/0.92 backwardsubs = 1
% 0.47/0.92 selectoldest = 5
% 0.47/0.92
% 0.47/0.92 litorderings [0] = split
% 0.47/0.92 litorderings [1] = liftord
% 0.47/0.92
% 0.47/0.92 termordering = none
% 0.47/0.92
% 0.47/0.92 litapriori = 1
% 0.47/0.92 termapriori = 0
% 0.47/0.92 litaposteriori = 0
% 0.47/0.92 termaposteriori = 0
% 0.47/0.92 demodaposteriori = 0
% 0.47/0.92 ordereqreflfact = 0
% 0.47/0.92
% 0.47/0.92 litselect = none
% 0.47/0.92
% 0.47/0.92 maxweight = 15
% 0.47/0.92 maxdepth = 30000
% 0.47/0.92 maxlength = 115
% 0.47/0.92 maxnrvars = 195
% 0.47/0.92 excuselevel = 1
% 0.47/0.92 increasemaxweight = 1
% 0.47/0.92
% 0.47/0.92 maxselected = 10000000
% 0.47/0.92 maxnrclauses = 10000000
% 0.47/0.92
% 0.47/0.92 showgenerated = 0
% 0.47/0.92 showkept = 0
% 0.47/0.92 showselected = 0
% 0.47/0.92 showdeleted = 0
% 0.47/0.92 showresimp = 1
% 0.47/0.92 showstatus = 2000
% 0.47/0.92
% 0.47/0.92 prologoutput = 1
% 0.47/0.92 nrgoals = 5000000
% 0.47/0.92 totalproof = 1
% 0.47/0.92
% 0.47/0.92 Symbols occurring in the translation:
% 0.47/0.92
% 0.47/0.92 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.47/0.92 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 0.47/0.92 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.47/0.92 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.47/0.92 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.47/0.92 'multiplicative_identity' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.47/0.92 product [41, 3] (w:1, o:48, a:1, s:1, b:0),
% 0.47/0.92 'additive_identity' [42, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.47/0.92 'additive_inverse' [45, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.47/0.92 'multiplicative_inverse' [46, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.47/0.92 'greater_than_0' [47, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.47/0.92 a [48, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 Starting Search:
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 Bliksems!, er is een bewijs:
% 0.47/0.92 % SZS status Unsatisfiable
% 0.47/0.92 % SZS output start Refutation
% 0.47/0.92
% 0.47/0.92 clause( 0, [ product( X, 'multiplicative_identity', X ) ] )
% 0.47/0.92 .
% 0.47/0.92 clause( 1, [ ~( product( 'multiplicative_identity',
% 0.47/0.92 'multiplicative_identity', 'additive_identity' ) ) ] )
% 0.47/0.92 .
% 0.47/0.92 clause( 4, [ product( X, 'additive_inverse'( Y ), 'additive_inverse'( Z ) )
% 0.47/0.92 , ~( product( X, Y, Z ) ) ] )
% 0.47/0.92 .
% 0.47/0.92 clause( 5, [ product( X, 'multiplicative_inverse'( X ),
% 0.47/0.92 'multiplicative_identity' ), product( X, X, 'additive_identity' ) ] )
% 0.47/0.92 .
% 0.47/0.92 clause( 6, [ ~( 'greater_than_0'( 'additive_inverse'( X ) ) ), ~(
% 0.47/0.92 'greater_than_0'( X ) ) ] )
% 0.47/0.92 .
% 0.47/0.92 clause( 7, [ ~( 'greater_than_0'( X ) ), ~( product( X, X,
% 0.47/0.92 'additive_identity' ) ) ] )
% 0.47/0.92 .
% 0.47/0.92 clause( 8, [ product( Y, X, Z ), ~( product( X, Y, Z ) ) ] )
% 0.47/0.92 .
% 0.47/0.92 clause( 9, [ 'greater_than_0'( X ), 'greater_than_0'( 'additive_inverse'( X
% 0.47/0.92 ) ), product( X, X, 'additive_identity' ) ] )
% 0.47/0.92 .
% 0.47/0.92 clause( 10, [ ~( product( X, X, 'additive_identity' ) ), product( Z, Z,
% 0.47/0.92 'additive_identity' ), ~( product( X, Y, Z ) ) ] )
% 0.47/0.92 .
% 0.47/0.92 clause( 11, [ ~( 'greater_than_0'( X ) ), ~( 'greater_than_0'( Y ) ),
% 0.47/0.92 'greater_than_0'( Z ), ~( product( X, Y, Z ) ) ] )
% 0.47/0.92 .
% 0.47/0.92 clause( 12, [ 'greater_than_0'( a ) ] )
% 0.47/0.92 .
% 0.47/0.92 clause( 13, [ ~( 'greater_than_0'( 'multiplicative_inverse'( a ) ) ) ] )
% 0.47/0.92 .
% 0.47/0.92 clause( 37, [ product( X, 'additive_inverse'( 'multiplicative_identity' ),
% 0.47/0.92 'additive_inverse'( X ) ) ] )
% 0.47/0.92 .
% 0.47/0.92 clause( 39, [ product( 'additive_inverse'( 'multiplicative_identity' ), X,
% 0.47/0.92 'additive_inverse'( X ) ) ] )
% 0.47/0.92 .
% 0.47/0.92 clause( 48, [ ~( 'greater_than_0'( X ) ), product( X,
% 0.47/0.92 'multiplicative_inverse'( X ), 'multiplicative_identity' ) ] )
% 0.47/0.92 .
% 0.47/0.92 clause( 67, [ ~( 'greater_than_0'( X ) ), product( X, 'additive_inverse'(
% 0.47/0.92 'multiplicative_inverse'( X ) ), 'additive_inverse'(
% 0.47/0.92 'multiplicative_identity' ) ) ] )
% 0.47/0.92 .
% 0.47/0.92 clause( 89, [ ~( product( X, Y, 'multiplicative_identity' ) ), ~( product(
% 0.47/0.92 X, X, 'additive_identity' ) ) ] )
% 0.47/0.92 .
% 0.47/0.92 clause( 109, [ ~( 'greater_than_0'( X ) ), ~( 'greater_than_0'(
% 0.47/0.92 'additive_inverse'( 'multiplicative_identity' ) ) ) ] )
% 0.47/0.92 .
% 0.47/0.92 clause( 116, [ ~( 'greater_than_0'( 'additive_inverse'(
% 0.47/0.92 'multiplicative_identity' ) ) ) ] )
% 0.47/0.92 .
% 0.47/0.92 clause( 252, [ product( X, 'multiplicative_inverse'( X ),
% 0.47/0.92 'multiplicative_identity' ), ~( product( X, Y, 'multiplicative_identity'
% 0.47/0.92 ) ) ] )
% 0.47/0.92 .
% 0.47/0.92 clause( 562, [ ~( product( Y, X, 'multiplicative_identity' ) ), product( X
% 0.47/0.92 , 'multiplicative_inverse'( X ), 'multiplicative_identity' ) ] )
% 0.47/0.92 .
% 0.47/0.92 clause( 604, [ ~( product( X, Y, 'multiplicative_identity' ) ), ~( product(
% 0.47/0.92 Y, Y, 'additive_identity' ) ) ] )
% 0.47/0.92 .
% 0.47/0.92 clause( 612, [ 'greater_than_0'( Y ), 'greater_than_0'( 'additive_inverse'(
% 0.47/0.92 Y ) ), ~( product( X, Y, 'multiplicative_identity' ) ) ] )
% 0.47/0.92 .
% 0.47/0.92 clause( 707, [ ~( 'greater_than_0'( 'additive_inverse'(
% 0.47/0.92 'multiplicative_inverse'( X ) ) ) ), ~( 'greater_than_0'( X ) ) ] )
% 0.47/0.92 .
% 0.47/0.92 clause( 905, [ ~( 'greater_than_0'( X ) ), 'greater_than_0'(
% 0.47/0.92 'multiplicative_inverse'( X ) ) ] )
% 0.47/0.92 .
% 0.47/0.92 clause( 953, [] )
% 0.47/0.92 .
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 % SZS output end Refutation
% 0.47/0.92 found a proof!
% 0.47/0.92
% 0.47/0.92 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.47/0.92
% 0.47/0.92 initialclauses(
% 0.47/0.92 [ clause( 955, [ product( X, 'multiplicative_identity', X ) ] )
% 0.47/0.92 , clause( 956, [ ~( product( 'multiplicative_identity',
% 0.47/0.92 'multiplicative_identity', 'additive_identity' ) ) ] )
% 0.47/0.92 , clause( 957, [ ~( product( X, Y, Z ) ), product( 'additive_inverse'( X )
% 0.47/0.92 , 'additive_inverse'( Y ), Z ) ] )
% 0.47/0.92 , clause( 958, [ product( X, Y, Z ), ~( product( 'additive_inverse'( X ),
% 0.47/0.92 'additive_inverse'( Y ), Z ) ) ] )
% 0.47/0.92 , clause( 959, [ ~( product( X, Y, Z ) ), product( X, 'additive_inverse'( Y
% 0.47/0.92 ), 'additive_inverse'( Z ) ) ] )
% 0.47/0.92 , clause( 960, [ product( X, 'multiplicative_inverse'( X ),
% 0.47/0.92 'multiplicative_identity' ), product( X, X, 'additive_identity' ) ] )
% 0.47/0.92 , clause( 961, [ ~( 'greater_than_0'( X ) ), ~( 'greater_than_0'(
% 0.47/0.92 'additive_inverse'( X ) ) ) ] )
% 0.47/0.92 , clause( 962, [ ~( 'greater_than_0'( X ) ), ~( product( X, X,
% 0.47/0.92 'additive_identity' ) ) ] )
% 0.47/0.92 , clause( 963, [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ] )
% 0.47/0.92 , clause( 964, [ 'greater_than_0'( X ), product( X, X, 'additive_identity'
% 0.47/0.92 ), 'greater_than_0'( 'additive_inverse'( X ) ) ] )
% 0.47/0.92 , clause( 965, [ ~( product( X, Y, Z ) ), ~( product( X, X,
% 0.47/0.92 'additive_identity' ) ), product( Z, Z, 'additive_identity' ) ] )
% 0.47/0.92 , clause( 966, [ ~( product( X, Y, Z ) ), ~( 'greater_than_0'( X ) ), ~(
% 0.47/0.92 'greater_than_0'( Y ) ), 'greater_than_0'( Z ) ] )
% 0.47/0.92 , clause( 967, [ 'greater_than_0'( a ) ] )
% 0.47/0.92 , clause( 968, [ ~( 'greater_than_0'( 'multiplicative_inverse'( a ) ) ) ]
% 0.47/0.92 )
% 0.47/0.92 ] ).
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 subsumption(
% 0.47/0.92 clause( 0, [ product( X, 'multiplicative_identity', X ) ] )
% 0.47/0.92 , clause( 955, [ product( X, 'multiplicative_identity', X ) ] )
% 0.47/0.92 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 subsumption(
% 0.47/0.92 clause( 1, [ ~( product( 'multiplicative_identity',
% 0.47/0.92 'multiplicative_identity', 'additive_identity' ) ) ] )
% 0.47/0.92 , clause( 956, [ ~( product( 'multiplicative_identity',
% 0.47/0.92 'multiplicative_identity', 'additive_identity' ) ) ] )
% 0.47/0.92 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 subsumption(
% 0.47/0.92 clause( 4, [ product( X, 'additive_inverse'( Y ), 'additive_inverse'( Z ) )
% 0.47/0.92 , ~( product( X, Y, Z ) ) ] )
% 0.47/0.92 , clause( 959, [ ~( product( X, Y, Z ) ), product( X, 'additive_inverse'( Y
% 0.47/0.92 ), 'additive_inverse'( Z ) ) ] )
% 0.47/0.92 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.47/0.92 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 subsumption(
% 0.47/0.92 clause( 5, [ product( X, 'multiplicative_inverse'( X ),
% 0.47/0.92 'multiplicative_identity' ), product( X, X, 'additive_identity' ) ] )
% 0.47/0.92 , clause( 960, [ product( X, 'multiplicative_inverse'( X ),
% 0.47/0.92 'multiplicative_identity' ), product( X, X, 'additive_identity' ) ] )
% 0.47/0.92 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.47/0.92 1 )] ) ).
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 subsumption(
% 0.47/0.92 clause( 6, [ ~( 'greater_than_0'( 'additive_inverse'( X ) ) ), ~(
% 0.47/0.92 'greater_than_0'( X ) ) ] )
% 0.47/0.92 , clause( 961, [ ~( 'greater_than_0'( X ) ), ~( 'greater_than_0'(
% 0.47/0.92 'additive_inverse'( X ) ) ) ] )
% 0.47/0.92 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.47/0.92 0 )] ) ).
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 subsumption(
% 0.47/0.92 clause( 7, [ ~( 'greater_than_0'( X ) ), ~( product( X, X,
% 0.47/0.92 'additive_identity' ) ) ] )
% 0.47/0.92 , clause( 962, [ ~( 'greater_than_0'( X ) ), ~( product( X, X,
% 0.47/0.92 'additive_identity' ) ) ] )
% 0.47/0.92 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.47/0.92 1 )] ) ).
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 subsumption(
% 0.47/0.92 clause( 8, [ product( Y, X, Z ), ~( product( X, Y, Z ) ) ] )
% 0.47/0.92 , clause( 963, [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ] )
% 0.47/0.92 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.47/0.92 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 subsumption(
% 0.47/0.92 clause( 9, [ 'greater_than_0'( X ), 'greater_than_0'( 'additive_inverse'( X
% 0.47/0.92 ) ), product( X, X, 'additive_identity' ) ] )
% 0.47/0.92 , clause( 964, [ 'greater_than_0'( X ), product( X, X, 'additive_identity'
% 0.47/0.92 ), 'greater_than_0'( 'additive_inverse'( X ) ) ] )
% 0.47/0.92 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.47/0.92 2 ), ==>( 2, 1 )] ) ).
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 subsumption(
% 0.47/0.92 clause( 10, [ ~( product( X, X, 'additive_identity' ) ), product( Z, Z,
% 0.47/0.92 'additive_identity' ), ~( product( X, Y, Z ) ) ] )
% 0.47/0.92 , clause( 965, [ ~( product( X, Y, Z ) ), ~( product( X, X,
% 0.47/0.92 'additive_identity' ) ), product( Z, Z, 'additive_identity' ) ] )
% 0.47/0.92 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.47/0.92 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 subsumption(
% 0.47/0.92 clause( 11, [ ~( 'greater_than_0'( X ) ), ~( 'greater_than_0'( Y ) ),
% 0.47/0.92 'greater_than_0'( Z ), ~( product( X, Y, Z ) ) ] )
% 0.47/0.92 , clause( 966, [ ~( product( X, Y, Z ) ), ~( 'greater_than_0'( X ) ), ~(
% 0.47/0.92 'greater_than_0'( Y ) ), 'greater_than_0'( Z ) ] )
% 0.47/0.92 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.47/0.92 permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2, 1 ), ==>( 3, 2 )] )
% 0.47/0.92 ).
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 subsumption(
% 0.47/0.92 clause( 12, [ 'greater_than_0'( a ) ] )
% 0.47/0.92 , clause( 967, [ 'greater_than_0'( a ) ] )
% 0.47/0.92 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 subsumption(
% 0.47/0.92 clause( 13, [ ~( 'greater_than_0'( 'multiplicative_inverse'( a ) ) ) ] )
% 0.47/0.92 , clause( 968, [ ~( 'greater_than_0'( 'multiplicative_inverse'( a ) ) ) ]
% 0.47/0.92 )
% 0.47/0.92 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 resolution(
% 0.47/0.92 clause( 976, [ product( X, 'additive_inverse'( 'multiplicative_identity' )
% 0.47/0.92 , 'additive_inverse'( X ) ) ] )
% 0.47/0.92 , clause( 4, [ product( X, 'additive_inverse'( Y ), 'additive_inverse'( Z )
% 0.47/0.92 ), ~( product( X, Y, Z ) ) ] )
% 0.47/0.92 , 1, clause( 0, [ product( X, 'multiplicative_identity', X ) ] )
% 0.47/0.92 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'multiplicative_identity' ),
% 0.47/0.92 :=( Z, X )] ), substitution( 1, [ :=( X, X )] )).
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 subsumption(
% 0.47/0.92 clause( 37, [ product( X, 'additive_inverse'( 'multiplicative_identity' ),
% 0.47/0.92 'additive_inverse'( X ) ) ] )
% 0.47/0.92 , clause( 976, [ product( X, 'additive_inverse'( 'multiplicative_identity'
% 0.47/0.92 ), 'additive_inverse'( X ) ) ] )
% 0.47/0.92 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 resolution(
% 0.47/0.92 clause( 977, [ product( 'additive_inverse'( 'multiplicative_identity' ), X
% 0.47/0.92 , 'additive_inverse'( X ) ) ] )
% 0.47/0.92 , clause( 8, [ product( Y, X, Z ), ~( product( X, Y, Z ) ) ] )
% 0.47/0.92 , 1, clause( 37, [ product( X, 'additive_inverse'(
% 0.47/0.92 'multiplicative_identity' ), 'additive_inverse'( X ) ) ] )
% 0.47/0.92 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'additive_inverse'(
% 0.47/0.92 'multiplicative_identity' ) ), :=( Z, 'additive_inverse'( X ) )] ),
% 0.47/0.92 substitution( 1, [ :=( X, X )] )).
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 subsumption(
% 0.47/0.92 clause( 39, [ product( 'additive_inverse'( 'multiplicative_identity' ), X,
% 0.47/0.92 'additive_inverse'( X ) ) ] )
% 0.47/0.92 , clause( 977, [ product( 'additive_inverse'( 'multiplicative_identity' ),
% 0.47/0.92 X, 'additive_inverse'( X ) ) ] )
% 0.47/0.92 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 resolution(
% 0.47/0.92 clause( 978, [ ~( 'greater_than_0'( X ) ), product( X,
% 0.47/0.92 'multiplicative_inverse'( X ), 'multiplicative_identity' ) ] )
% 0.47/0.92 , clause( 7, [ ~( 'greater_than_0'( X ) ), ~( product( X, X,
% 0.47/0.92 'additive_identity' ) ) ] )
% 0.47/0.92 , 1, clause( 5, [ product( X, 'multiplicative_inverse'( X ),
% 0.47/0.92 'multiplicative_identity' ), product( X, X, 'additive_identity' ) ] )
% 0.47/0.92 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.47/0.92 ).
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 subsumption(
% 0.47/0.92 clause( 48, [ ~( 'greater_than_0'( X ) ), product( X,
% 0.47/0.92 'multiplicative_inverse'( X ), 'multiplicative_identity' ) ] )
% 0.47/0.92 , clause( 978, [ ~( 'greater_than_0'( X ) ), product( X,
% 0.47/0.92 'multiplicative_inverse'( X ), 'multiplicative_identity' ) ] )
% 0.47/0.92 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.47/0.92 1 )] ) ).
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 resolution(
% 0.47/0.92 clause( 979, [ product( X, 'additive_inverse'( 'multiplicative_inverse'( X
% 0.47/0.92 ) ), 'additive_inverse'( 'multiplicative_identity' ) ), ~(
% 0.47/0.92 'greater_than_0'( X ) ) ] )
% 0.47/0.92 , clause( 4, [ product( X, 'additive_inverse'( Y ), 'additive_inverse'( Z )
% 0.47/0.92 ), ~( product( X, Y, Z ) ) ] )
% 0.47/0.92 , 1, clause( 48, [ ~( 'greater_than_0'( X ) ), product( X,
% 0.47/0.92 'multiplicative_inverse'( X ), 'multiplicative_identity' ) ] )
% 0.47/0.92 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'multiplicative_inverse'( X ) )
% 0.47/0.92 , :=( Z, 'multiplicative_identity' )] ), substitution( 1, [ :=( X, X )] )
% 0.47/0.92 ).
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 subsumption(
% 0.47/0.92 clause( 67, [ ~( 'greater_than_0'( X ) ), product( X, 'additive_inverse'(
% 0.47/0.92 'multiplicative_inverse'( X ) ), 'additive_inverse'(
% 0.47/0.92 'multiplicative_identity' ) ) ] )
% 0.47/0.92 , clause( 979, [ product( X, 'additive_inverse'( 'multiplicative_inverse'(
% 0.47/0.92 X ) ), 'additive_inverse'( 'multiplicative_identity' ) ), ~(
% 0.47/0.92 'greater_than_0'( X ) ) ] )
% 0.47/0.92 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.47/0.92 0 )] ) ).
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 resolution(
% 0.47/0.92 clause( 980, [ ~( product( X, X, 'additive_identity' ) ), ~( product( X, Y
% 0.47/0.92 , 'multiplicative_identity' ) ) ] )
% 0.47/0.92 , clause( 1, [ ~( product( 'multiplicative_identity',
% 0.47/0.92 'multiplicative_identity', 'additive_identity' ) ) ] )
% 0.47/0.92 , 0, clause( 10, [ ~( product( X, X, 'additive_identity' ) ), product( Z, Z
% 0.47/0.92 , 'additive_identity' ), ~( product( X, Y, Z ) ) ] )
% 0.47/0.92 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=(
% 0.47/0.92 Z, 'multiplicative_identity' )] )).
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 subsumption(
% 0.47/0.92 clause( 89, [ ~( product( X, Y, 'multiplicative_identity' ) ), ~( product(
% 0.47/0.92 X, X, 'additive_identity' ) ) ] )
% 0.47/0.92 , clause( 980, [ ~( product( X, X, 'additive_identity' ) ), ~( product( X,
% 0.47/0.92 Y, 'multiplicative_identity' ) ) ] )
% 0.47/0.92 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.47/0.92 ), ==>( 1, 0 )] ) ).
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 resolution(
% 0.47/0.92 clause( 981, [ ~( 'greater_than_0'( 'additive_inverse'(
% 0.47/0.92 'multiplicative_identity' ) ) ), ~( 'greater_than_0'( X ) ),
% 0.47/0.92 'greater_than_0'( 'additive_inverse'( X ) ) ] )
% 0.47/0.92 , clause( 11, [ ~( 'greater_than_0'( X ) ), ~( 'greater_than_0'( Y ) ),
% 0.47/0.92 'greater_than_0'( Z ), ~( product( X, Y, Z ) ) ] )
% 0.47/0.92 , 3, clause( 39, [ product( 'additive_inverse'( 'multiplicative_identity' )
% 0.47/0.92 , X, 'additive_inverse'( X ) ) ] )
% 0.47/0.92 , 0, substitution( 0, [ :=( X, 'additive_inverse'(
% 0.47/0.92 'multiplicative_identity' ) ), :=( Y, X ), :=( Z, 'additive_inverse'( X )
% 0.47/0.92 )] ), substitution( 1, [ :=( X, X )] )).
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 factor(
% 0.47/0.92 clause( 982, [ ~( 'greater_than_0'( 'additive_inverse'(
% 0.47/0.92 'multiplicative_identity' ) ) ), 'greater_than_0'( 'additive_inverse'(
% 0.47/0.92 'additive_inverse'( 'multiplicative_identity' ) ) ) ] )
% 0.47/0.92 , clause( 981, [ ~( 'greater_than_0'( 'additive_inverse'(
% 0.47/0.92 'multiplicative_identity' ) ) ), ~( 'greater_than_0'( X ) ),
% 0.47/0.92 'greater_than_0'( 'additive_inverse'( X ) ) ] )
% 0.47/0.92 , 0, 1, substitution( 0, [ :=( X, 'additive_inverse'(
% 0.47/0.92 'multiplicative_identity' ) )] )).
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 resolution(
% 0.47/0.92 clause( 983, [ ~( 'greater_than_0'( 'additive_inverse'(
% 0.47/0.92 'multiplicative_identity' ) ) ), ~( 'greater_than_0'( 'additive_inverse'(
% 0.47/0.92 'multiplicative_identity' ) ) ) ] )
% 0.47/0.92 , clause( 6, [ ~( 'greater_than_0'( 'additive_inverse'( X ) ) ), ~(
% 0.47/0.92 'greater_than_0'( X ) ) ] )
% 0.47/0.92 , 0, clause( 982, [ ~( 'greater_than_0'( 'additive_inverse'(
% 0.47/0.92 'multiplicative_identity' ) ) ), 'greater_than_0'( 'additive_inverse'(
% 0.47/0.92 'additive_inverse'( 'multiplicative_identity' ) ) ) ] )
% 0.47/0.92 , 1, substitution( 0, [ :=( X, 'additive_inverse'(
% 0.47/0.92 'multiplicative_identity' ) )] ), substitution( 1, [] )).
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 subsumption(
% 0.47/0.92 clause( 109, [ ~( 'greater_than_0'( X ) ), ~( 'greater_than_0'(
% 0.47/0.92 'additive_inverse'( 'multiplicative_identity' ) ) ) ] )
% 0.47/0.92 , clause( 983, [ ~( 'greater_than_0'( 'additive_inverse'(
% 0.47/0.92 'multiplicative_identity' ) ) ), ~( 'greater_than_0'( 'additive_inverse'(
% 0.47/0.92 'multiplicative_identity' ) ) ) ] )
% 0.47/0.92 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 1 )] )
% 0.47/0.92 ).
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 factor(
% 0.47/0.92 clause( 985, [ ~( 'greater_than_0'( 'additive_inverse'(
% 0.47/0.92 'multiplicative_identity' ) ) ) ] )
% 0.47/0.92 , clause( 109, [ ~( 'greater_than_0'( X ) ), ~( 'greater_than_0'(
% 0.47/0.92 'additive_inverse'( 'multiplicative_identity' ) ) ) ] )
% 0.47/0.92 , 0, 1, substitution( 0, [ :=( X, 'additive_inverse'(
% 0.47/0.92 'multiplicative_identity' ) )] )).
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 subsumption(
% 0.47/0.92 clause( 116, [ ~( 'greater_than_0'( 'additive_inverse'(
% 0.47/0.92 'multiplicative_identity' ) ) ) ] )
% 0.47/0.92 , clause( 985, [ ~( 'greater_than_0'( 'additive_inverse'(
% 0.47/0.92 'multiplicative_identity' ) ) ) ] )
% 0.47/0.92 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 resolution(
% 0.47/0.92 clause( 987, [ ~( product( X, Y, 'multiplicative_identity' ) ), product( X
% 0.47/0.92 , 'multiplicative_inverse'( X ), 'multiplicative_identity' ) ] )
% 0.47/0.92 , clause( 89, [ ~( product( X, Y, 'multiplicative_identity' ) ), ~( product(
% 0.47/0.92 X, X, 'additive_identity' ) ) ] )
% 0.47/0.92 , 1, clause( 5, [ product( X, 'multiplicative_inverse'( X ),
% 0.47/0.92 'multiplicative_identity' ), product( X, X, 'additive_identity' ) ] )
% 0.47/0.92 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.47/0.92 , X )] )).
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 subsumption(
% 0.47/0.92 clause( 252, [ product( X, 'multiplicative_inverse'( X ),
% 0.47/0.92 'multiplicative_identity' ), ~( product( X, Y, 'multiplicative_identity'
% 0.47/0.92 ) ) ] )
% 0.47/0.92 , clause( 987, [ ~( product( X, Y, 'multiplicative_identity' ) ), product(
% 0.47/0.92 X, 'multiplicative_inverse'( X ), 'multiplicative_identity' ) ] )
% 0.47/0.92 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.47/0.92 ), ==>( 1, 0 )] ) ).
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 resolution(
% 0.47/0.92 clause( 988, [ product( X, 'multiplicative_inverse'( X ),
% 0.47/0.92 'multiplicative_identity' ), ~( product( Y, X, 'multiplicative_identity'
% 0.47/0.92 ) ) ] )
% 0.47/0.92 , clause( 252, [ product( X, 'multiplicative_inverse'( X ),
% 0.47/0.92 'multiplicative_identity' ), ~( product( X, Y, 'multiplicative_identity'
% 0.47/0.92 ) ) ] )
% 0.47/0.92 , 1, clause( 8, [ product( Y, X, Z ), ~( product( X, Y, Z ) ) ] )
% 0.47/0.92 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.47/0.92 , Y ), :=( Y, X ), :=( Z, 'multiplicative_identity' )] )).
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 subsumption(
% 0.47/0.92 clause( 562, [ ~( product( Y, X, 'multiplicative_identity' ) ), product( X
% 0.47/0.92 , 'multiplicative_inverse'( X ), 'multiplicative_identity' ) ] )
% 0.47/0.92 , clause( 988, [ product( X, 'multiplicative_inverse'( X ),
% 0.47/0.92 'multiplicative_identity' ), ~( product( Y, X, 'multiplicative_identity'
% 0.47/0.92 ) ) ] )
% 0.47/0.92 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.47/0.92 ), ==>( 1, 0 )] ) ).
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 resolution(
% 0.47/0.92 clause( 989, [ ~( product( X, X, 'additive_identity' ) ), product(
% 0.47/0.92 'multiplicative_identity', 'multiplicative_identity', 'additive_identity'
% 0.47/0.92 ), ~( product( Y, X, 'multiplicative_identity' ) ) ] )
% 0.47/0.92 , clause( 10, [ ~( product( X, X, 'additive_identity' ) ), product( Z, Z,
% 0.47/0.92 'additive_identity' ), ~( product( X, Y, Z ) ) ] )
% 0.47/0.92 , 2, clause( 562, [ ~( product( Y, X, 'multiplicative_identity' ) ),
% 0.47/0.92 product( X, 'multiplicative_inverse'( X ), 'multiplicative_identity' ) ]
% 0.47/0.92 )
% 0.47/0.92 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'multiplicative_inverse'( X ) )
% 0.47/0.92 , :=( Z, 'multiplicative_identity' )] ), substitution( 1, [ :=( X, X ),
% 0.47/0.92 :=( Y, Y )] )).
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 resolution(
% 0.47/0.92 clause( 990, [ ~( product( X, X, 'additive_identity' ) ), ~( product( Y, X
% 0.47/0.92 , 'multiplicative_identity' ) ) ] )
% 0.47/0.92 , clause( 1, [ ~( product( 'multiplicative_identity',
% 0.47/0.92 'multiplicative_identity', 'additive_identity' ) ) ] )
% 0.47/0.92 , 0, clause( 989, [ ~( product( X, X, 'additive_identity' ) ), product(
% 0.47/0.92 'multiplicative_identity', 'multiplicative_identity', 'additive_identity'
% 0.47/0.92 ), ~( product( Y, X, 'multiplicative_identity' ) ) ] )
% 0.47/0.92 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.47/0.92 ).
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 subsumption(
% 0.47/0.92 clause( 604, [ ~( product( X, Y, 'multiplicative_identity' ) ), ~( product(
% 0.47/0.92 Y, Y, 'additive_identity' ) ) ] )
% 0.47/0.92 , clause( 990, [ ~( product( X, X, 'additive_identity' ) ), ~( product( Y,
% 0.47/0.92 X, 'multiplicative_identity' ) ) ] )
% 0.47/0.92 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 0.47/0.92 ), ==>( 1, 0 )] ) ).
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 resolution(
% 0.47/0.92 clause( 991, [ ~( product( X, Y, 'multiplicative_identity' ) ),
% 0.47/0.92 'greater_than_0'( Y ), 'greater_than_0'( 'additive_inverse'( Y ) ) ] )
% 0.47/0.92 , clause( 604, [ ~( product( X, Y, 'multiplicative_identity' ) ), ~(
% 0.47/0.92 product( Y, Y, 'additive_identity' ) ) ] )
% 0.47/0.92 , 1, clause( 9, [ 'greater_than_0'( X ), 'greater_than_0'(
% 0.47/0.92 'additive_inverse'( X ) ), product( X, X, 'additive_identity' ) ] )
% 0.47/0.92 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.47/0.92 , Y )] )).
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 subsumption(
% 0.47/0.92 clause( 612, [ 'greater_than_0'( Y ), 'greater_than_0'( 'additive_inverse'(
% 0.47/0.92 Y ) ), ~( product( X, Y, 'multiplicative_identity' ) ) ] )
% 0.47/0.92 , clause( 991, [ ~( product( X, Y, 'multiplicative_identity' ) ),
% 0.47/0.92 'greater_than_0'( Y ), 'greater_than_0'( 'additive_inverse'( Y ) ) ] )
% 0.47/0.92 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.47/0.92 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 resolution(
% 0.47/0.92 clause( 994, [ ~( 'greater_than_0'( X ) ), ~( 'greater_than_0'(
% 0.47/0.92 'additive_inverse'( 'multiplicative_inverse'( X ) ) ) ), 'greater_than_0'(
% 0.47/0.92 'additive_inverse'( 'multiplicative_identity' ) ), ~( 'greater_than_0'( X
% 0.47/0.92 ) ) ] )
% 0.47/0.92 , clause( 11, [ ~( 'greater_than_0'( X ) ), ~( 'greater_than_0'( Y ) ),
% 0.47/0.92 'greater_than_0'( Z ), ~( product( X, Y, Z ) ) ] )
% 0.47/0.92 , 3, clause( 67, [ ~( 'greater_than_0'( X ) ), product( X,
% 0.47/0.92 'additive_inverse'( 'multiplicative_inverse'( X ) ), 'additive_inverse'(
% 0.47/0.92 'multiplicative_identity' ) ) ] )
% 0.47/0.92 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'additive_inverse'(
% 0.47/0.92 'multiplicative_inverse'( X ) ) ), :=( Z, 'additive_inverse'(
% 0.47/0.92 'multiplicative_identity' ) )] ), substitution( 1, [ :=( X, X )] )).
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 resolution(
% 0.47/0.92 clause( 996, [ ~( 'greater_than_0'( X ) ), ~( 'greater_than_0'(
% 0.47/0.92 'additive_inverse'( 'multiplicative_inverse'( X ) ) ) ), ~(
% 0.47/0.92 'greater_than_0'( X ) ) ] )
% 0.47/0.92 , clause( 116, [ ~( 'greater_than_0'( 'additive_inverse'(
% 0.47/0.92 'multiplicative_identity' ) ) ) ] )
% 0.47/0.92 , 0, clause( 994, [ ~( 'greater_than_0'( X ) ), ~( 'greater_than_0'(
% 0.47/0.92 'additive_inverse'( 'multiplicative_inverse'( X ) ) ) ), 'greater_than_0'(
% 0.47/0.92 'additive_inverse'( 'multiplicative_identity' ) ), ~( 'greater_than_0'( X
% 0.47/0.92 ) ) ] )
% 0.47/0.92 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 factor(
% 0.47/0.92 clause( 997, [ ~( 'greater_than_0'( X ) ), ~( 'greater_than_0'(
% 0.47/0.92 'additive_inverse'( 'multiplicative_inverse'( X ) ) ) ) ] )
% 0.47/0.92 , clause( 996, [ ~( 'greater_than_0'( X ) ), ~( 'greater_than_0'(
% 0.47/0.92 'additive_inverse'( 'multiplicative_inverse'( X ) ) ) ), ~(
% 0.47/0.92 'greater_than_0'( X ) ) ] )
% 0.47/0.92 , 0, 2, substitution( 0, [ :=( X, X )] )).
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 subsumption(
% 0.47/0.92 clause( 707, [ ~( 'greater_than_0'( 'additive_inverse'(
% 0.47/0.92 'multiplicative_inverse'( X ) ) ) ), ~( 'greater_than_0'( X ) ) ] )
% 0.47/0.92 , clause( 997, [ ~( 'greater_than_0'( X ) ), ~( 'greater_than_0'(
% 0.47/0.92 'additive_inverse'( 'multiplicative_inverse'( X ) ) ) ) ] )
% 0.47/0.92 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.47/0.92 0 )] ) ).
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 resolution(
% 0.47/0.92 clause( 998, [ 'greater_than_0'( 'multiplicative_inverse'( X ) ),
% 0.47/0.92 'greater_than_0'( 'additive_inverse'( 'multiplicative_inverse'( X ) ) ),
% 0.47/0.92 ~( 'greater_than_0'( X ) ) ] )
% 0.47/0.92 , clause( 612, [ 'greater_than_0'( Y ), 'greater_than_0'(
% 0.47/0.92 'additive_inverse'( Y ) ), ~( product( X, Y, 'multiplicative_identity' )
% 0.47/0.92 ) ] )
% 0.47/0.92 , 2, clause( 48, [ ~( 'greater_than_0'( X ) ), product( X,
% 0.47/0.92 'multiplicative_inverse'( X ), 'multiplicative_identity' ) ] )
% 0.47/0.92 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'multiplicative_inverse'( X ) )] )
% 0.47/0.92 , substitution( 1, [ :=( X, X )] )).
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 resolution(
% 0.47/0.92 clause( 999, [ ~( 'greater_than_0'( X ) ), 'greater_than_0'(
% 0.47/0.92 'multiplicative_inverse'( X ) ), ~( 'greater_than_0'( X ) ) ] )
% 0.47/0.92 , clause( 707, [ ~( 'greater_than_0'( 'additive_inverse'(
% 0.47/0.92 'multiplicative_inverse'( X ) ) ) ), ~( 'greater_than_0'( X ) ) ] )
% 0.47/0.92 , 0, clause( 998, [ 'greater_than_0'( 'multiplicative_inverse'( X ) ),
% 0.47/0.92 'greater_than_0'( 'additive_inverse'( 'multiplicative_inverse'( X ) ) ),
% 0.47/0.92 ~( 'greater_than_0'( X ) ) ] )
% 0.47/0.92 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.47/0.92 ).
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 factor(
% 0.47/0.92 clause( 1001, [ ~( 'greater_than_0'( X ) ), 'greater_than_0'(
% 0.47/0.92 'multiplicative_inverse'( X ) ) ] )
% 0.47/0.92 , clause( 999, [ ~( 'greater_than_0'( X ) ), 'greater_than_0'(
% 0.47/0.92 'multiplicative_inverse'( X ) ), ~( 'greater_than_0'( X ) ) ] )
% 0.47/0.92 , 0, 2, substitution( 0, [ :=( X, X )] )).
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 subsumption(
% 0.47/0.92 clause( 905, [ ~( 'greater_than_0'( X ) ), 'greater_than_0'(
% 0.47/0.92 'multiplicative_inverse'( X ) ) ] )
% 0.47/0.92 , clause( 1001, [ ~( 'greater_than_0'( X ) ), 'greater_than_0'(
% 0.47/0.92 'multiplicative_inverse'( X ) ) ] )
% 0.47/0.92 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.47/0.92 1 )] ) ).
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 resolution(
% 0.47/0.92 clause( 1002, [ ~( 'greater_than_0'( a ) ) ] )
% 0.47/0.92 , clause( 13, [ ~( 'greater_than_0'( 'multiplicative_inverse'( a ) ) ) ] )
% 0.47/0.92 , 0, clause( 905, [ ~( 'greater_than_0'( X ) ), 'greater_than_0'(
% 0.47/0.92 'multiplicative_inverse'( X ) ) ] )
% 0.47/0.92 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, a )] )).
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 resolution(
% 0.47/0.92 clause( 1003, [] )
% 0.47/0.92 , clause( 1002, [ ~( 'greater_than_0'( a ) ) ] )
% 0.47/0.92 , 0, clause( 12, [ 'greater_than_0'( a ) ] )
% 0.47/0.92 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 subsumption(
% 0.47/0.92 clause( 953, [] )
% 0.47/0.92 , clause( 1003, [] )
% 0.47/0.92 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 end.
% 0.47/0.92
% 0.47/0.92 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.47/0.92
% 0.47/0.92 Memory use:
% 0.47/0.92
% 0.47/0.92 space for terms: 11377
% 0.47/0.92 space for clauses: 47261
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 clauses generated: 3629
% 0.47/0.92 clauses kept: 954
% 0.47/0.92 clauses selected: 205
% 0.47/0.92 clauses deleted: 17
% 0.47/0.92 clauses inuse deleted: 0
% 0.47/0.92
% 0.47/0.92 subsentry: 9250
% 0.47/0.92 literals s-matched: 6929
% 0.47/0.92 literals matched: 6916
% 0.47/0.92 full subsumption: 1285
% 0.47/0.92
% 0.47/0.92 checksum: -1964259385
% 0.47/0.92
% 0.47/0.92
% 0.47/0.92 Bliksem ended
%------------------------------------------------------------------------------