TSTP Solution File: RNG038-2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : RNG038-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.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 20:16:10 EDT 2022
% Result : Unsatisfiable 0.42s 1.08s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG038-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Mon May 30 19:37:14 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.42/1.08 *** allocated 10000 integers for termspace/termends
% 0.42/1.08 *** allocated 10000 integers for clauses
% 0.42/1.08 *** allocated 10000 integers for justifications
% 0.42/1.08 Bliksem 1.12
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Automatic Strategy Selection
% 0.42/1.08
% 0.42/1.08 Clauses:
% 0.42/1.08 [
% 0.42/1.08 [ ~( equalish( X, Y ) ), equalish( 'additive_inverse'( X ),
% 0.42/1.08 'additive_inverse'( Y ) ) ],
% 0.42/1.08 [ ~( equalish( X, Y ) ), equalish( add( X, Z ), add( Y, Z ) ) ],
% 0.42/1.08 [ ~( equalish( X, Y ) ), ~( sum( X, Z, T ) ), sum( Y, Z, T ) ],
% 0.42/1.08 [ ~( equalish( X, Y ) ), ~( sum( Z, X, T ) ), sum( Z, Y, T ) ],
% 0.42/1.08 [ ~( equalish( X, Y ) ), ~( sum( Z, T, X ) ), sum( Z, T, Y ) ],
% 0.42/1.08 [ ~( equalish( X, Y ) ), equalish( multiply( X, Z ), multiply( Y, Z ) )
% 0.42/1.08 ],
% 0.42/1.08 [ ~( equalish( X, Y ) ), ~( product( X, Z, T ) ), product( Y, Z, T ) ]
% 0.42/1.08 ,
% 0.42/1.08 [ ~( equalish( X, Y ) ), ~( product( Z, X, T ) ), product( Z, Y, T ) ]
% 0.42/1.08 ,
% 0.42/1.08 [ ~( equalish( X, Y ) ), ~( product( Z, T, X ) ), product( Z, T, Y ) ]
% 0.42/1.08 ,
% 0.42/1.08 [ sum( X, 'additive_identity', X ) ],
% 0.42/1.08 [ product( X, Y, multiply( X, Y ) ) ],
% 0.42/1.08 [ sum( X, Y, add( X, Y ) ) ],
% 0.42/1.08 [ sum( X, 'additive_inverse'( X ), 'additive_identity' ) ],
% 0.42/1.08 [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T, W ) ), sum( X
% 0.42/1.08 , U, W ) ],
% 0.42/1.08 [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( X, U, W ) ), sum( Z
% 0.42/1.08 , T, W ) ],
% 0.42/1.08 [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ],
% 0.42/1.08 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( Z, T, W
% 0.42/1.08 ) ), product( X, U, W ) ],
% 0.42/1.08 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( X, U, W
% 0.42/1.08 ) ), product( Z, T, W ) ],
% 0.42/1.08 [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T, W ) )
% 0.42/1.08 , ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ],
% 0.42/1.08 [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T, W ) )
% 0.42/1.08 , ~( sum( Z, U, V0 ) ), product( X, W, V0 ) ],
% 0.42/1.08 [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X, T, W ) )
% 0.42/1.08 , ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ],
% 0.42/1.08 [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X, T, W ) )
% 0.42/1.08 , ~( sum( Z, U, V0 ) ), product( W, Y, V0 ) ],
% 0.42/1.08 [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), equalish( Z, T ) ],
% 0.42/1.08 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish( Z, T ) ]
% 0.42/1.08 ,
% 0.42/1.08 [ product( 'additive_identity', X, 'additive_identity' ) ],
% 0.42/1.08 [ product( X, 'additive_identity', 'additive_identity' ) ],
% 0.42/1.08 [ ~( equalish( X, 'additive_identity' ) ), product( X, h( X, Y ), Y ) ]
% 0.42/1.08 ,
% 0.42/1.08 [ product( a, b, 'additive_identity' ) ],
% 0.42/1.08 [ ~( equalish( a, 'additive_identity' ) ) ],
% 0.42/1.08 [ ~( equalish( b, 'additive_identity' ) ) ]
% 0.42/1.08 ] .
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 percentage equality = 0.000000, percentage horn = 1.000000
% 0.42/1.08 This is a near-Horn, non-equality problem
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Options Used:
% 0.42/1.08
% 0.42/1.08 useres = 1
% 0.42/1.08 useparamod = 0
% 0.42/1.08 useeqrefl = 0
% 0.42/1.08 useeqfact = 0
% 0.42/1.08 usefactor = 1
% 0.42/1.08 usesimpsplitting = 0
% 0.42/1.08 usesimpdemod = 0
% 0.42/1.08 usesimpres = 4
% 0.42/1.08
% 0.42/1.08 resimpinuse = 1000
% 0.42/1.08 resimpclauses = 20000
% 0.42/1.08 substype = standard
% 0.42/1.08 backwardsubs = 1
% 0.42/1.08 selectoldest = 5
% 0.42/1.08
% 0.42/1.08 litorderings [0] = split
% 0.42/1.08 litorderings [1] = liftord
% 0.42/1.08
% 0.42/1.08 termordering = none
% 0.42/1.08
% 0.42/1.08 litapriori = 1
% 0.42/1.08 termapriori = 0
% 0.42/1.08 litaposteriori = 0
% 0.42/1.08 termaposteriori = 0
% 0.42/1.08 demodaposteriori = 0
% 0.42/1.08 ordereqreflfact = 0
% 0.42/1.08
% 0.42/1.08 litselect = negative
% 0.42/1.08
% 0.42/1.08 maxweight = 30000
% 0.42/1.08 maxdepth = 30000
% 0.42/1.08 maxlength = 115
% 0.42/1.08 maxnrvars = 195
% 0.42/1.08 excuselevel = 0
% 0.42/1.08 increasemaxweight = 0
% 0.42/1.08
% 0.42/1.08 maxselected = 10000000
% 0.42/1.08 maxnrclauses = 10000000
% 0.42/1.08
% 0.42/1.08 showgenerated = 0
% 0.42/1.08 showkept = 0
% 0.42/1.08 showselected = 0
% 0.42/1.08 showdeleted = 0
% 0.42/1.08 showresimp = 1
% 0.42/1.08 showstatus = 2000
% 0.42/1.08
% 0.42/1.08 prologoutput = 1
% 0.42/1.08 nrgoals = 5000000
% 0.42/1.08 totalproof = 1
% 0.42/1.08
% 0.42/1.08 Symbols occurring in the translation:
% 0.42/1.08
% 0.42/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.42/1.08 . [1, 2] (w:1, o:28, a:1, s:1, b:0),
% 0.42/1.08 ! [4, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.42/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.08 equalish [41, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.42/1.08 'additive_inverse' [42, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.42/1.08 add [44, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.42/1.08 sum [46, 3] (w:1, o:57, a:1, s:1, b:0),
% 0.42/1.08 multiply [47, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.42/1.08 product [48, 3] (w:1, o:58, a:1, s:1, b:0),
% 0.42/1.08 'additive_identity' [49, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.42/1.08 h [56, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.42/1.08 a [57, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.42/1.08 b [58, 0] (w:1, o:21, a:1, s:1, b:0).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Starting Search:
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Bliksems!, er is een bewijs:
% 0.42/1.08 % SZS status Unsatisfiable
% 0.42/1.08 % SZS output start Refutation
% 0.42/1.08
% 0.42/1.08 clause( 9, [ sum( X, 'additive_identity', X ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 22, [ equalish( Z, T ), ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ) ]
% 0.42/1.08 )
% 0.42/1.08 .
% 0.42/1.08 clause( 23, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y,
% 0.42/1.08 T ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 24, [ product( 'additive_identity', X, 'additive_identity' ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 26, [ product( X, h( X, Y ), Y ), ~( equalish( X,
% 0.42/1.08 'additive_identity' ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 28, [ ~( equalish( a, 'additive_identity' ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 54, [ equalish( X, X ), ~( sum( Y, Z, X ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 69, [ equalish( X, X ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 73, [ product( 'additive_identity', h( 'additive_identity', X ), X
% 0.42/1.08 ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 77, [ equalish( X, 'additive_identity' ), ~( product(
% 0.42/1.08 'additive_identity', Y, X ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 79, [ equalish( X, 'additive_identity' ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 89, [] )
% 0.42/1.08 .
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 % SZS output end Refutation
% 0.42/1.08 found a proof!
% 0.42/1.08
% 0.42/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.08
% 0.42/1.08 initialclauses(
% 0.42/1.08 [ clause( 91, [ ~( equalish( X, Y ) ), equalish( 'additive_inverse'( X ),
% 0.42/1.08 'additive_inverse'( Y ) ) ] )
% 0.42/1.08 , clause( 92, [ ~( equalish( X, Y ) ), equalish( add( X, Z ), add( Y, Z ) )
% 0.42/1.08 ] )
% 0.42/1.08 , clause( 93, [ ~( equalish( X, Y ) ), ~( sum( X, Z, T ) ), sum( Y, Z, T )
% 0.42/1.08 ] )
% 0.42/1.08 , clause( 94, [ ~( equalish( X, Y ) ), ~( sum( Z, X, T ) ), sum( Z, Y, T )
% 0.42/1.08 ] )
% 0.42/1.08 , clause( 95, [ ~( equalish( X, Y ) ), ~( sum( Z, T, X ) ), sum( Z, T, Y )
% 0.42/1.08 ] )
% 0.42/1.08 , clause( 96, [ ~( equalish( X, Y ) ), equalish( multiply( X, Z ), multiply(
% 0.42/1.08 Y, Z ) ) ] )
% 0.42/1.08 , clause( 97, [ ~( equalish( X, Y ) ), ~( product( X, Z, T ) ), product( Y
% 0.42/1.08 , Z, T ) ] )
% 0.42/1.08 , clause( 98, [ ~( equalish( X, Y ) ), ~( product( Z, X, T ) ), product( Z
% 0.42/1.08 , Y, T ) ] )
% 0.42/1.08 , clause( 99, [ ~( equalish( X, Y ) ), ~( product( Z, T, X ) ), product( Z
% 0.42/1.08 , T, Y ) ] )
% 0.42/1.08 , clause( 100, [ sum( X, 'additive_identity', X ) ] )
% 0.42/1.08 , clause( 101, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.42/1.08 , clause( 102, [ sum( X, Y, add( X, Y ) ) ] )
% 0.42/1.08 , clause( 103, [ sum( X, 'additive_inverse'( X ), 'additive_identity' ) ]
% 0.42/1.08 )
% 0.42/1.08 , clause( 104, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T, W
% 0.42/1.08 ) ), sum( X, U, W ) ] )
% 0.42/1.08 , clause( 105, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( X, U, W
% 0.42/1.08 ) ), sum( Z, T, W ) ] )
% 0.42/1.08 , clause( 106, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 0.42/1.08 , clause( 107, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.42/1.08 product( Z, T, W ) ), product( X, U, W ) ] )
% 0.42/1.08 , clause( 108, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.42/1.08 product( X, U, W ) ), product( Z, T, W ) ] )
% 0.42/1.08 , clause( 109, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 0.42/1.08 Y, T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 0.42/1.08 , clause( 110, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 0.42/1.08 Y, T, W ) ), ~( sum( Z, U, V0 ) ), product( X, W, V0 ) ] )
% 0.42/1.08 , clause( 111, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum(
% 0.42/1.08 X, T, W ) ), ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ] )
% 0.42/1.08 , clause( 112, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum(
% 0.42/1.08 X, T, W ) ), ~( sum( Z, U, V0 ) ), product( W, Y, V0 ) ] )
% 0.42/1.08 , clause( 113, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), equalish( Z, T )
% 0.42/1.08 ] )
% 0.42/1.08 , clause( 114, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish(
% 0.42/1.08 Z, T ) ] )
% 0.42/1.08 , clause( 115, [ product( 'additive_identity', X, 'additive_identity' ) ]
% 0.42/1.08 )
% 0.42/1.08 , clause( 116, [ product( X, 'additive_identity', 'additive_identity' ) ]
% 0.42/1.08 )
% 0.42/1.08 , clause( 117, [ ~( equalish( X, 'additive_identity' ) ), product( X, h( X
% 0.42/1.08 , Y ), Y ) ] )
% 0.42/1.08 , clause( 118, [ product( a, b, 'additive_identity' ) ] )
% 0.42/1.08 , clause( 119, [ ~( equalish( a, 'additive_identity' ) ) ] )
% 0.42/1.08 , clause( 120, [ ~( equalish( b, 'additive_identity' ) ) ] )
% 0.42/1.08 ] ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 9, [ sum( X, 'additive_identity', X ) ] )
% 0.42/1.08 , clause( 100, [ sum( X, 'additive_identity', X ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 22, [ equalish( Z, T ), ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ) ]
% 0.42/1.08 )
% 0.42/1.08 , clause( 113, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), equalish( Z, T )
% 0.42/1.08 ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.42/1.08 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 23, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y,
% 0.42/1.08 T ) ) ] )
% 0.42/1.08 , clause( 114, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish(
% 0.42/1.08 Z, T ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.42/1.08 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 24, [ product( 'additive_identity', X, 'additive_identity' ) ] )
% 0.42/1.08 , clause( 115, [ product( 'additive_identity', X, 'additive_identity' ) ]
% 0.42/1.08 )
% 0.42/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 26, [ product( X, h( X, Y ), Y ), ~( equalish( X,
% 0.42/1.08 'additive_identity' ) ) ] )
% 0.42/1.08 , clause( 117, [ ~( equalish( X, 'additive_identity' ) ), product( X, h( X
% 0.42/1.08 , Y ), Y ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.42/1.08 ), ==>( 1, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 28, [ ~( equalish( a, 'additive_identity' ) ) ] )
% 0.42/1.08 , clause( 119, [ ~( equalish( a, 'additive_identity' ) ) ] )
% 0.42/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 factor(
% 0.42/1.08 clause( 280, [ equalish( X, X ), ~( sum( Y, Z, X ) ) ] )
% 0.42/1.08 , clause( 22, [ equalish( Z, T ), ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) )
% 0.42/1.08 ] )
% 0.42/1.08 , 1, 2, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, X )] )
% 0.42/1.08 ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 54, [ equalish( X, X ), ~( sum( Y, Z, X ) ) ] )
% 0.42/1.08 , clause( 280, [ equalish( X, X ), ~( sum( Y, Z, X ) ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.42/1.08 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 resolution(
% 0.42/1.08 clause( 281, [ equalish( X, X ) ] )
% 0.42/1.08 , clause( 54, [ equalish( X, X ), ~( sum( Y, Z, X ) ) ] )
% 0.42/1.08 , 1, clause( 9, [ sum( X, 'additive_identity', X ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, 'additive_identity'
% 0.42/1.08 )] ), substitution( 1, [ :=( X, X )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 69, [ equalish( X, X ) ] )
% 0.42/1.08 , clause( 281, [ equalish( X, X ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 resolution(
% 0.42/1.08 clause( 282, [ product( 'additive_identity', h( 'additive_identity', X ), X
% 0.42/1.08 ) ] )
% 0.42/1.08 , clause( 26, [ product( X, h( X, Y ), Y ), ~( equalish( X,
% 0.42/1.08 'additive_identity' ) ) ] )
% 0.42/1.08 , 1, clause( 69, [ equalish( X, X ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, 'additive_identity' ), :=( Y, X )] ),
% 0.42/1.08 substitution( 1, [ :=( X, 'additive_identity' )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 73, [ product( 'additive_identity', h( 'additive_identity', X ), X
% 0.42/1.08 ) ] )
% 0.42/1.08 , clause( 282, [ product( 'additive_identity', h( 'additive_identity', X )
% 0.42/1.08 , X ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 resolution(
% 0.42/1.08 clause( 284, [ equalish( X, 'additive_identity' ), ~( product(
% 0.42/1.08 'additive_identity', Y, X ) ) ] )
% 0.42/1.08 , clause( 23, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y
% 0.42/1.08 , T ) ) ] )
% 0.42/1.08 , 2, clause( 24, [ product( 'additive_identity', X, 'additive_identity' ) ]
% 0.42/1.08 )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, 'additive_identity' ), :=( Y, Y ), :=( Z, X
% 0.42/1.08 ), :=( T, 'additive_identity' )] ), substitution( 1, [ :=( X, Y )] )
% 0.42/1.08 ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 77, [ equalish( X, 'additive_identity' ), ~( product(
% 0.42/1.08 'additive_identity', Y, X ) ) ] )
% 0.42/1.08 , clause( 284, [ equalish( X, 'additive_identity' ), ~( product(
% 0.42/1.08 'additive_identity', Y, X ) ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.08 ), ==>( 1, 1 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 resolution(
% 0.42/1.08 clause( 285, [ equalish( X, 'additive_identity' ) ] )
% 0.42/1.08 , clause( 77, [ equalish( X, 'additive_identity' ), ~( product(
% 0.42/1.08 'additive_identity', Y, X ) ) ] )
% 0.42/1.08 , 1, clause( 73, [ product( 'additive_identity', h( 'additive_identity', X
% 0.42/1.08 ), X ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, h( 'additive_identity', X ) )] )
% 0.42/1.08 , substitution( 1, [ :=( X, X )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 79, [ equalish( X, 'additive_identity' ) ] )
% 0.42/1.08 , clause( 285, [ equalish( X, 'additive_identity' ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 resolution(
% 0.42/1.08 clause( 286, [] )
% 0.42/1.08 , clause( 28, [ ~( equalish( a, 'additive_identity' ) ) ] )
% 0.42/1.08 , 0, clause( 79, [ equalish( X, 'additive_identity' ) ] )
% 0.42/1.08 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 89, [] )
% 0.42/1.08 , clause( 286, [] )
% 0.42/1.08 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 end.
% 0.42/1.08
% 0.42/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.08
% 0.42/1.08 Memory use:
% 0.42/1.08
% 0.42/1.08 space for terms: 1974
% 0.42/1.08 space for clauses: 4528
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 clauses generated: 160
% 0.42/1.08 clauses kept: 90
% 0.42/1.08 clauses selected: 34
% 0.42/1.08 clauses deleted: 8
% 0.42/1.08 clauses inuse deleted: 0
% 0.42/1.08
% 0.42/1.08 subsentry: 556
% 0.42/1.08 literals s-matched: 364
% 0.42/1.08 literals matched: 269
% 0.42/1.08 full subsumption: 72
% 0.42/1.08
% 0.42/1.08 checksum: 1842395092
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Bliksem ended
%------------------------------------------------------------------------------