TSTP Solution File: BOO003-1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : BOO003-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n022.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 23:30:33 EDT 2022
% Result : Unsatisfiable 1.68s 2.05s
% Output : Refutation 1.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : BOO003-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Thu Jun 2 00:03:52 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.68/2.05 *** allocated 10000 integers for termspace/termends
% 1.68/2.05 *** allocated 10000 integers for clauses
% 1.68/2.05 *** allocated 10000 integers for justifications
% 1.68/2.05 Bliksem 1.12
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05 Automatic Strategy Selection
% 1.68/2.05
% 1.68/2.05 Clauses:
% 1.68/2.05 [
% 1.68/2.05 [ sum( X, Y, add( X, Y ) ) ],
% 1.68/2.05 [ product( X, Y, multiply( X, Y ) ) ],
% 1.68/2.05 [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ],
% 1.68/2.05 [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ],
% 1.68/2.05 [ sum( 'additive_identity', X, X ) ],
% 1.68/2.05 [ sum( X, 'additive_identity', X ) ],
% 1.68/2.05 [ product( 'multiplicative_identity', X, X ) ],
% 1.68/2.05 [ product( X, 'multiplicative_identity', X ) ],
% 1.68/2.05 [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T, W ) )
% 1.68/2.05 , ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ],
% 1.68/2.05 [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T, W ) )
% 1.68/2.05 , ~( sum( Z, U, V0 ) ), product( X, W, V0 ) ],
% 1.68/2.05 [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X, T, W ) )
% 1.68/2.05 , ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ],
% 1.68/2.05 [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X, T, W ) )
% 1.68/2.05 , ~( sum( Z, U, V0 ) ), product( W, Y, V0 ) ],
% 1.68/2.05 [ ~( sum( X, Y, Z ) ), ~( sum( X, T, U ) ), ~( product( Y, T, W ) ), ~(
% 1.68/2.05 sum( X, W, V0 ) ), product( Z, U, V0 ) ],
% 1.68/2.05 [ ~( sum( X, Y, Z ) ), ~( sum( X, T, U ) ), ~( product( Y, T, W ) ), ~(
% 1.68/2.05 product( Z, U, V0 ) ), sum( X, W, V0 ) ],
% 1.68/2.05 [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T, W ) ), ~(
% 1.68/2.05 sum( W, Y, V0 ) ), product( Z, U, V0 ) ],
% 1.68/2.05 [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T, W ) ), ~(
% 1.68/2.05 product( Z, U, V0 ) ), sum( W, Y, V0 ) ],
% 1.68/2.05 [ sum( inverse( X ), X, 'multiplicative_identity' ) ],
% 1.68/2.05 [ sum( X, inverse( X ), 'multiplicative_identity' ) ],
% 1.68/2.05 [ product( inverse( X ), X, 'additive_identity' ) ],
% 1.68/2.05 [ product( X, inverse( X ), 'additive_identity' ) ],
% 1.68/2.05 [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ],
% 1.68/2.05 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 1.68/2.05 [ ~( product( x, x, x ) ) ]
% 1.68/2.05 ] .
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05 percentage equality = 0.032787, percentage horn = 1.000000
% 1.68/2.05 This is a problem with some equality
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05 Options Used:
% 1.68/2.05
% 1.68/2.05 useres = 1
% 1.68/2.05 useparamod = 1
% 1.68/2.05 useeqrefl = 1
% 1.68/2.05 useeqfact = 1
% 1.68/2.05 usefactor = 1
% 1.68/2.05 usesimpsplitting = 0
% 1.68/2.05 usesimpdemod = 5
% 1.68/2.05 usesimpres = 3
% 1.68/2.05
% 1.68/2.05 resimpinuse = 1000
% 1.68/2.05 resimpclauses = 20000
% 1.68/2.05 substype = eqrewr
% 1.68/2.05 backwardsubs = 1
% 1.68/2.05 selectoldest = 5
% 1.68/2.05
% 1.68/2.05 litorderings [0] = split
% 1.68/2.05 litorderings [1] = extend the termordering, first sorting on arguments
% 1.68/2.05
% 1.68/2.05 termordering = kbo
% 1.68/2.05
% 1.68/2.05 litapriori = 0
% 1.68/2.05 termapriori = 1
% 1.68/2.05 litaposteriori = 0
% 1.68/2.05 termaposteriori = 0
% 1.68/2.05 demodaposteriori = 0
% 1.68/2.05 ordereqreflfact = 0
% 1.68/2.05
% 1.68/2.05 litselect = negord
% 1.68/2.05
% 1.68/2.05 maxweight = 15
% 1.68/2.05 maxdepth = 30000
% 1.68/2.05 maxlength = 115
% 1.68/2.05 maxnrvars = 195
% 1.68/2.05 excuselevel = 1
% 1.68/2.05 increasemaxweight = 1
% 1.68/2.05
% 1.68/2.05 maxselected = 10000000
% 1.68/2.05 maxnrclauses = 10000000
% 1.68/2.05
% 1.68/2.05 showgenerated = 0
% 1.68/2.05 showkept = 0
% 1.68/2.05 showselected = 0
% 1.68/2.05 showdeleted = 0
% 1.68/2.05 showresimp = 1
% 1.68/2.05 showstatus = 2000
% 1.68/2.05
% 1.68/2.05 prologoutput = 1
% 1.68/2.05 nrgoals = 5000000
% 1.68/2.05 totalproof = 1
% 1.68/2.05
% 1.68/2.05 Symbols occurring in the translation:
% 1.68/2.05
% 1.68/2.05 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.68/2.05 . [1, 2] (w:1, o:27, a:1, s:1, b:0),
% 1.68/2.05 ! [4, 1] (w:0, o:21, a:1, s:1, b:0),
% 1.68/2.05 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.68/2.05 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.68/2.05 add [41, 2] (w:1, o:52, a:1, s:1, b:0),
% 1.68/2.05 sum [42, 3] (w:1, o:54, a:1, s:1, b:0),
% 1.68/2.05 multiply [43, 2] (w:1, o:53, a:1, s:1, b:0),
% 1.68/2.05 product [44, 3] (w:1, o:55, a:1, s:1, b:0),
% 1.68/2.05 'additive_identity' [46, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.68/2.05 'multiplicative_identity' [47, 0] (w:1, o:13, a:1, s:1, b:0),
% 1.68/2.05 inverse [52, 1] (w:1, o:26, a:1, s:1, b:0),
% 1.68/2.05 x [55, 0] (w:1, o:20, a:1, s:1, b:0).
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05 Starting Search:
% 1.68/2.05
% 1.68/2.05 Resimplifying inuse:
% 1.68/2.05 Done
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05 Intermediate Status:
% 1.68/2.05 Generated: 7058
% 1.68/2.05 Kept: 2003
% 1.68/2.05 Inuse: 101
% 1.68/2.05 Deleted: 0
% 1.68/2.05 Deletedinuse: 0
% 1.68/2.05
% 1.68/2.05 Resimplifying inuse:
% 1.68/2.05 Done
% 1.68/2.05
% 1.68/2.05 Resimplifying inuse:
% 1.68/2.05 Done
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05 Intermediate Status:
% 1.68/2.05 Generated: 24470
% 1.68/2.05 Kept: 4010
% 1.68/2.05 Inuse: 238
% 1.68/2.05 Deleted: 14
% 1.68/2.05 Deletedinuse: 12
% 1.68/2.05
% 1.68/2.05 Resimplifying inuse:
% 1.68/2.05 Done
% 1.68/2.05
% 1.68/2.05 Resimplifying inuse:
% 1.68/2.05 Done
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05 Intermediate Status:
% 1.68/2.05 Generated: 41339
% 1.68/2.05 Kept: 6012
% 1.68/2.05 Inuse: 339
% 1.68/2.05 Deleted: 53
% 1.68/2.05 Deletedinuse: 50
% 1.68/2.05
% 1.68/2.05 Resimplifying inuse:
% 1.68/2.05 Done
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05 Bliksems!, er is een bewijs:
% 1.68/2.05 % SZS status Unsatisfiable
% 1.68/2.05 % SZS output start Refutation
% 1.68/2.05
% 1.68/2.05 clause( 1, [ product( X, Y, multiply( X, Y ) ) ] )
% 1.68/2.05 .
% 1.68/2.05 clause( 3, [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ] )
% 1.68/2.05 .
% 1.68/2.05 clause( 4, [ sum( 'additive_identity', X, X ) ] )
% 1.68/2.05 .
% 1.68/2.05 clause( 5, [ sum( X, 'additive_identity', X ) ] )
% 1.68/2.05 .
% 1.68/2.05 clause( 8, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T
% 1.68/2.05 , W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 1.68/2.05 .
% 1.68/2.05 clause( 12, [ ~( sum( X, Y, Z ) ), ~( sum( X, T, U ) ), ~( product( Y, T, W
% 1.68/2.05 ) ), ~( sum( X, W, V0 ) ), product( Z, U, V0 ) ] )
% 1.68/2.05 .
% 1.68/2.05 clause( 19, [ product( X, inverse( X ), 'additive_identity' ) ] )
% 1.68/2.05 .
% 1.68/2.05 clause( 20, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 1.68/2.05 .
% 1.68/2.05 clause( 22, [ ~( product( x, x, x ) ) ] )
% 1.68/2.05 .
% 1.68/2.05 clause( 51, [ product( X, Y, multiply( Y, X ) ) ] )
% 1.68/2.05 .
% 1.68/2.05 clause( 71, [ ~( product( X, Y, Z ) ), ~( product( X, 'additive_identity',
% 1.68/2.05 T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 1.68/2.05 .
% 1.68/2.05 clause( 85, [ ~( product( X, Y, Z ) ), ~( product( X, 'additive_identity',
% 1.68/2.05 T ) ), sum( Z, T, Z ) ] )
% 1.68/2.05 .
% 1.68/2.05 clause( 453, [ ~( sum( X, Y, x ) ), ~( sum( X, Z, x ) ), ~( product( Y, Z,
% 1.68/2.05 T ) ), ~( sum( X, T, x ) ) ] )
% 1.68/2.05 .
% 1.68/2.05 clause( 475, [ ~( sum( X, Y, x ) ), ~( sum( X, Z, x ) ), ~( product( Y, Z,
% 1.68/2.05 Z ) ) ] )
% 1.68/2.05 .
% 1.68/2.05 clause( 476, [ ~( sum( X, Y, x ) ), ~( product( Y, Y, Y ) ) ] )
% 1.68/2.05 .
% 1.68/2.05 clause( 488, [ ~( product( 'additive_identity', 'additive_identity',
% 1.68/2.05 'additive_identity' ) ) ] )
% 1.68/2.05 .
% 1.68/2.05 clause( 850, [ ~( sum( 'additive_identity', X, Y ) ), =( X, Y ) ] )
% 1.68/2.05 .
% 1.68/2.05 clause( 6210, [ ~( product( X, 'additive_identity', Y ) ), sum(
% 1.68/2.05 'additive_identity', Y, 'additive_identity' ) ] )
% 1.68/2.05 .
% 1.68/2.05 clause( 6226, [ sum( 'additive_identity', multiply( 'additive_identity', X
% 1.68/2.05 ), 'additive_identity' ) ] )
% 1.68/2.05 .
% 1.68/2.05 clause( 6405, [ =( multiply( 'additive_identity', X ), 'additive_identity'
% 1.68/2.05 ) ] )
% 1.68/2.05 .
% 1.68/2.05 clause( 6424, [ product( X, 'additive_identity', 'additive_identity' ) ] )
% 1.68/2.05 .
% 1.68/2.05 clause( 6478, [] )
% 1.68/2.05 .
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05 % SZS output end Refutation
% 1.68/2.05 found a proof!
% 1.68/2.05
% 1.68/2.05 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.68/2.05
% 1.68/2.05 initialclauses(
% 1.68/2.05 [ clause( 6480, [ sum( X, Y, add( X, Y ) ) ] )
% 1.68/2.05 , clause( 6481, [ product( X, Y, multiply( X, Y ) ) ] )
% 1.68/2.05 , clause( 6482, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 1.68/2.05 , clause( 6483, [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ] )
% 1.68/2.05 , clause( 6484, [ sum( 'additive_identity', X, X ) ] )
% 1.68/2.05 , clause( 6485, [ sum( X, 'additive_identity', X ) ] )
% 1.68/2.05 , clause( 6486, [ product( 'multiplicative_identity', X, X ) ] )
% 1.68/2.05 , clause( 6487, [ product( X, 'multiplicative_identity', X ) ] )
% 1.68/2.05 , clause( 6488, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 1.68/2.05 Y, T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 1.68/2.05 , clause( 6489, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 1.68/2.05 Y, T, W ) ), ~( sum( Z, U, V0 ) ), product( X, W, V0 ) ] )
% 1.68/2.05 , clause( 6490, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum(
% 1.68/2.05 X, T, W ) ), ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ] )
% 1.68/2.05 , clause( 6491, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum(
% 1.68/2.05 X, T, W ) ), ~( sum( Z, U, V0 ) ), product( W, Y, V0 ) ] )
% 1.68/2.05 , clause( 6492, [ ~( sum( X, Y, Z ) ), ~( sum( X, T, U ) ), ~( product( Y,
% 1.68/2.05 T, W ) ), ~( sum( X, W, V0 ) ), product( Z, U, V0 ) ] )
% 1.68/2.05 , clause( 6493, [ ~( sum( X, Y, Z ) ), ~( sum( X, T, U ) ), ~( product( Y,
% 1.68/2.05 T, W ) ), ~( product( Z, U, V0 ) ), sum( X, W, V0 ) ] )
% 1.68/2.05 , clause( 6494, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X,
% 1.68/2.05 T, W ) ), ~( sum( W, Y, V0 ) ), product( Z, U, V0 ) ] )
% 1.68/2.05 , clause( 6495, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X,
% 1.68/2.05 T, W ) ), ~( product( Z, U, V0 ) ), sum( W, Y, V0 ) ] )
% 1.68/2.05 , clause( 6496, [ sum( inverse( X ), X, 'multiplicative_identity' ) ] )
% 1.68/2.05 , clause( 6497, [ sum( X, inverse( X ), 'multiplicative_identity' ) ] )
% 1.68/2.05 , clause( 6498, [ product( inverse( X ), X, 'additive_identity' ) ] )
% 1.68/2.05 , clause( 6499, [ product( X, inverse( X ), 'additive_identity' ) ] )
% 1.68/2.05 , clause( 6500, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 1.68/2.05 , clause( 6501, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T
% 1.68/2.05 ) ] )
% 1.68/2.05 , clause( 6502, [ ~( product( x, x, x ) ) ] )
% 1.68/2.05 ] ).
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05 subsumption(
% 1.68/2.05 clause( 1, [ product( X, Y, multiply( X, Y ) ) ] )
% 1.68/2.05 , clause( 6481, [ product( X, Y, multiply( X, Y ) ) ] )
% 1.68/2.05 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.68/2.05 )] ) ).
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05 subsumption(
% 1.68/2.05 clause( 3, [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ] )
% 1.68/2.05 , clause( 6483, [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ] )
% 1.68/2.05 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.68/2.05 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05 subsumption(
% 1.68/2.05 clause( 4, [ sum( 'additive_identity', X, X ) ] )
% 1.68/2.05 , clause( 6484, [ sum( 'additive_identity', X, X ) ] )
% 1.68/2.05 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05 subsumption(
% 1.68/2.05 clause( 5, [ sum( X, 'additive_identity', X ) ] )
% 1.68/2.05 , clause( 6485, [ sum( X, 'additive_identity', X ) ] )
% 1.68/2.05 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05 subsumption(
% 1.68/2.05 clause( 8, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T
% 1.68/2.05 , W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 1.68/2.05 , clause( 6488, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 1.68/2.05 Y, T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 1.68/2.05 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.68/2.05 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1
% 1.68/2.05 , 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05 subsumption(
% 1.68/2.05 clause( 12, [ ~( sum( X, Y, Z ) ), ~( sum( X, T, U ) ), ~( product( Y, T, W
% 1.68/2.05 ) ), ~( sum( X, W, V0 ) ), product( Z, U, V0 ) ] )
% 1.68/2.05 , clause( 6492, [ ~( sum( X, Y, Z ) ), ~( sum( X, T, U ) ), ~( product( Y,
% 1.68/2.05 T, W ) ), ~( sum( X, W, V0 ) ), product( Z, U, V0 ) ] )
% 1.68/2.05 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.68/2.05 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1
% 1.68/2.05 , 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05 subsumption(
% 1.68/2.05 clause( 19, [ product( X, inverse( X ), 'additive_identity' ) ] )
% 1.68/2.05 , clause( 6499, [ product( X, inverse( X ), 'additive_identity' ) ] )
% 1.68/2.05 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05 subsumption(
% 1.68/2.05 clause( 20, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 1.68/2.05 , clause( 6500, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 1.68/2.05 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.68/2.05 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05 subsumption(
% 1.68/2.05 clause( 22, [ ~( product( x, x, x ) ) ] )
% 1.68/2.05 , clause( 6502, [ ~( product( x, x, x ) ) ] )
% 1.68/2.05 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05 resolution(
% 1.68/2.05 clause( 6612, [ product( Y, X, multiply( X, Y ) ) ] )
% 1.68/2.05 , clause( 3, [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ] )
% 1.68/2.05 , 0, clause( 1, [ product( X, Y, multiply( X, Y ) ) ] )
% 1.68/2.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, multiply( X, Y ) )] )
% 1.68/2.05 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05 subsumption(
% 1.68/2.05 clause( 51, [ product( X, Y, multiply( Y, X ) ) ] )
% 1.68/2.05 , clause( 6612, [ product( Y, X, multiply( X, Y ) ) ] )
% 1.68/2.05 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.68/2.05 )] ) ).
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05 resolution(
% 1.68/2.05 clause( 6613, [ ~( product( X, Y, Z ) ), ~( product( X, 'additive_identity'
% 1.68/2.05 , T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 1.68/2.05 , clause( 8, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y
% 1.68/2.05 , T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 1.68/2.05 , 2, clause( 5, [ sum( X, 'additive_identity', X ) ] )
% 1.68/2.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T,
% 1.68/2.05 'additive_identity' ), :=( U, T ), :=( W, Y ), :=( V0, U )] ),
% 1.68/2.05 substitution( 1, [ :=( X, Y )] )).
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05 subsumption(
% 1.68/2.05 clause( 71, [ ~( product( X, Y, Z ) ), ~( product( X, 'additive_identity',
% 1.68/2.05 T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 1.68/2.05 , clause( 6613, [ ~( product( X, Y, Z ) ), ~( product( X,
% 1.68/2.05 'additive_identity', T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 1.68/2.05 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.68/2.05 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3
% 1.68/2.05 , 3 )] ) ).
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05 factor(
% 1.68/2.05 clause( 6619, [ ~( product( X, Y, Z ) ), ~( product( X, 'additive_identity'
% 1.68/2.05 , T ) ), sum( Z, T, Z ) ] )
% 1.68/2.05 , clause( 71, [ ~( product( X, Y, Z ) ), ~( product( X, 'additive_identity'
% 1.68/2.05 , T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 1.68/2.05 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 1.68/2.05 :=( U, Z )] )).
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05 subsumption(
% 1.68/2.05 clause( 85, [ ~( product( X, Y, Z ) ), ~( product( X, 'additive_identity',
% 1.68/2.05 T ) ), sum( Z, T, Z ) ] )
% 1.68/2.05 , clause( 6619, [ ~( product( X, Y, Z ) ), ~( product( X,
% 1.68/2.05 'additive_identity', T ) ), sum( Z, T, Z ) ] )
% 1.68/2.05 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.68/2.05 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05 resolution(
% 1.68/2.05 clause( 6622, [ ~( sum( X, Y, x ) ), ~( sum( X, Z, x ) ), ~( product( Y, Z
% 1.68/2.05 , T ) ), ~( sum( X, T, x ) ) ] )
% 1.68/2.05 , clause( 22, [ ~( product( x, x, x ) ) ] )
% 1.68/2.05 , 0, clause( 12, [ ~( sum( X, Y, Z ) ), ~( sum( X, T, U ) ), ~( product( Y
% 1.68/2.05 , T, W ) ), ~( sum( X, W, V0 ) ), product( Z, U, V0 ) ] )
% 1.68/2.05 , 4, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=(
% 1.68/2.05 Z, x ), :=( T, Z ), :=( U, x ), :=( W, T ), :=( V0, x )] )).
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05 subsumption(
% 1.68/2.05 clause( 453, [ ~( sum( X, Y, x ) ), ~( sum( X, Z, x ) ), ~( product( Y, Z,
% 1.68/2.05 T ) ), ~( sum( X, T, x ) ) ] )
% 1.68/2.05 , clause( 6622, [ ~( sum( X, Y, x ) ), ~( sum( X, Z, x ) ), ~( product( Y,
% 1.68/2.05 Z, T ) ), ~( sum( X, T, x ) ) ] )
% 1.68/2.05 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.68/2.05 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 1.68/2.05 ).
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05 factor(
% 1.68/2.05 clause( 6629, [ ~( sum( X, Y, x ) ), ~( sum( X, Z, x ) ), ~( product( Y, Z
% 1.68/2.05 , Z ) ) ] )
% 1.68/2.05 , clause( 453, [ ~( sum( X, Y, x ) ), ~( sum( X, Z, x ) ), ~( product( Y, Z
% 1.68/2.05 , T ) ), ~( sum( X, T, x ) ) ] )
% 1.68/2.05 , 1, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Z )] )
% 1.68/2.05 ).
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05 subsumption(
% 1.68/2.05 clause( 475, [ ~( sum( X, Y, x ) ), ~( sum( X, Z, x ) ), ~( product( Y, Z,
% 1.68/2.05 Z ) ) ] )
% 1.68/2.05 , clause( 6629, [ ~( sum( X, Y, x ) ), ~( sum( X, Z, x ) ), ~( product( Y,
% 1.68/2.05 Z, Z ) ) ] )
% 1.68/2.05 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.68/2.05 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05 factor(
% 1.68/2.05 clause( 6631, [ ~( sum( X, Y, x ) ), ~( product( Y, Y, Y ) ) ] )
% 1.68/2.05 , clause( 475, [ ~( sum( X, Y, x ) ), ~( sum( X, Z, x ) ), ~( product( Y, Z
% 1.68/2.05 , Z ) ) ] )
% 1.68/2.05 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05 subsumption(
% 1.68/2.05 clause( 476, [ ~( sum( X, Y, x ) ), ~( product( Y, Y, Y ) ) ] )
% 1.68/2.05 , clause( 6631, [ ~( sum( X, Y, x ) ), ~( product( Y, Y, Y ) ) ] )
% 1.68/2.05 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.68/2.05 ), ==>( 1, 1 )] ) ).
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05 resolution(
% 1.68/2.05 clause( 6632, [ ~( product( 'additive_identity', 'additive_identity',
% 1.68/2.05 'additive_identity' ) ) ] )
% 1.68/2.05 , clause( 476, [ ~( sum( X, Y, x ) ), ~( product( Y, Y, Y ) ) ] )
% 1.68/2.05 , 0, clause( 5, [ sum( X, 'additive_identity', X ) ] )
% 1.68/2.05 , 0, substitution( 0, [ :=( X, x ), :=( Y, 'additive_identity' )] ),
% 1.68/2.05 substitution( 1, [ :=( X, x )] )).
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05 subsumption(
% 1.68/2.05 clause( 488, [ ~( product( 'additive_identity', 'additive_identity',
% 1.68/2.05 'additive_identity' ) ) ] )
% 1.68/2.05 , clause( 6632, [ ~( product( 'additive_identity', 'additive_identity',
% 1.68/2.05 'additive_identity' ) ) ] )
% 1.68/2.05 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05 resolution(
% 1.68/2.05 clause( 6633, [ ~( sum( 'additive_identity', X, Y ) ), =( X, Y ) ] )
% 1.68/2.05 , clause( 20, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 1.68/2.05 , 0, clause( 4, [ sum( 'additive_identity', X, X ) ] )
% 1.68/2.05 , 0, substitution( 0, [ :=( X, 'additive_identity' ), :=( Y, X ), :=( Z, X
% 1.68/2.05 ), :=( T, Y )] ), substitution( 1, [ :=( X, X )] )).
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05 subsumption(
% 1.68/2.05 clause( 850, [ ~( sum( 'additive_identity', X, Y ) ), =( X, Y ) ] )
% 1.68/2.05 , clause( 6633, [ ~( sum( 'additive_identity', X, Y ) ), =( X, Y ) ] )
% 1.68/2.05 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.68/2.05 ), ==>( 1, 1 )] ) ).
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05 resolution(
% 1.68/2.05 clause( 6635, [ ~( product( X, 'additive_identity', Y ) ), sum(
% 1.68/2.05 'additive_identity', Y, 'additive_identity' ) ] )
% 1.68/2.05 , clause( 85, [ ~( product( X, Y, Z ) ), ~( product( X, 'additive_identity'
% 1.68/2.05 , T ) ), sum( Z, T, Z ) ] )
% 1.68/2.05 , 0, clause( 19, [ product( X, inverse( X ), 'additive_identity' ) ] )
% 1.68/2.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, inverse( X ) ), :=( Z,
% 1.68/2.05 'additive_identity' ), :=( T, Y )] ), substitution( 1, [ :=( X, X )] )
% 1.68/2.05 ).
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05 subsumption(
% 1.68/2.05 clause( 6210, [ ~( product( X, 'additive_identity', Y ) ), sum(
% 1.68/2.05 'additive_identity', Y, 'additive_identity' ) ] )
% 1.68/2.05 , clause( 6635, [ ~( product( X, 'additive_identity', Y ) ), sum(
% 1.68/2.05 'additive_identity', Y, 'additive_identity' ) ] )
% 1.68/2.05 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.68/2.05 ), ==>( 1, 1 )] ) ).
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05 resolution(
% 1.68/2.05 clause( 6636, [ sum( 'additive_identity', multiply( 'additive_identity', X
% 1.68/2.05 ), 'additive_identity' ) ] )
% 1.68/2.05 , clause( 6210, [ ~( product( X, 'additive_identity', Y ) ), sum(
% 1.68/2.05 'additive_identity', Y, 'additive_identity' ) ] )
% 1.68/2.05 , 0, clause( 51, [ product( X, Y, multiply( Y, X ) ) ] )
% 1.68/2.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, multiply( 'additive_identity', X
% 1.68/2.05 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, 'additive_identity' )] )
% 1.68/2.05 ).
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05 subsumption(
% 1.68/2.05 clause( 6226, [ sum( 'additive_identity', multiply( 'additive_identity', X
% 1.68/2.05 ), 'additive_identity' ) ] )
% 1.68/2.05 , clause( 6636, [ sum( 'additive_identity', multiply( 'additive_identity',
% 1.68/2.05 X ), 'additive_identity' ) ] )
% 1.68/2.05 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05 eqswap(
% 1.68/2.05 clause( 6637, [ =( Y, X ), ~( sum( 'additive_identity', X, Y ) ) ] )
% 1.68/2.05 , clause( 850, [ ~( sum( 'additive_identity', X, Y ) ), =( X, Y ) ] )
% 1.68/2.05 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05 resolution(
% 1.68/2.05 clause( 6638, [ =( 'additive_identity', multiply( 'additive_identity', X )
% 1.68/2.05 ) ] )
% 1.68/2.05 , clause( 6637, [ =( Y, X ), ~( sum( 'additive_identity', X, Y ) ) ] )
% 1.68/2.05 , 1, clause( 6226, [ sum( 'additive_identity', multiply(
% 1.68/2.05 'additive_identity', X ), 'additive_identity' ) ] )
% 1.68/2.05 , 0, substitution( 0, [ :=( X, multiply( 'additive_identity', X ) ), :=( Y
% 1.68/2.05 , 'additive_identity' )] ), substitution( 1, [ :=( X, X )] )).
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05 eqswap(
% 1.68/2.05 clause( 6639, [ =( multiply( 'additive_identity', X ), 'additive_identity'
% 1.68/2.05 ) ] )
% 1.68/2.05 , clause( 6638, [ =( 'additive_identity', multiply( 'additive_identity', X
% 1.68/2.05 ) ) ] )
% 1.68/2.05 , 0, substitution( 0, [ :=( X, X )] )).
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05 subsumption(
% 1.68/2.05 clause( 6405, [ =( multiply( 'additive_identity', X ), 'additive_identity'
% 1.68/2.05 ) ] )
% 1.68/2.05 , clause( 6639, [ =( multiply( 'additive_identity', X ),
% 1.68/2.05 'additive_identity' ) ] )
% 1.68/2.05 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05 paramod(
% 1.68/2.05 clause( 6641, [ product( X, 'additive_identity', 'additive_identity' ) ] )
% 1.68/2.05 , clause( 6405, [ =( multiply( 'additive_identity', X ),
% 1.68/2.05 'additive_identity' ) ] )
% 1.68/2.05 , 0, clause( 51, [ product( X, Y, multiply( Y, X ) ) ] )
% 1.68/2.05 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 1.68/2.05 :=( Y, 'additive_identity' )] )).
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05 subsumption(
% 1.68/2.05 clause( 6424, [ product( X, 'additive_identity', 'additive_identity' ) ] )
% 1.68/2.05 , clause( 6641, [ product( X, 'additive_identity', 'additive_identity' ) ]
% 1.68/2.05 )
% 1.68/2.05 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05 resolution(
% 1.68/2.05 clause( 6642, [] )
% 1.68/2.05 , clause( 488, [ ~( product( 'additive_identity', 'additive_identity',
% 1.68/2.05 'additive_identity' ) ) ] )
% 1.68/2.05 , 0, clause( 6424, [ product( X, 'additive_identity', 'additive_identity' )
% 1.68/2.05 ] )
% 1.68/2.05 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'additive_identity' )] )
% 1.68/2.05 ).
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05 subsumption(
% 1.68/2.05 clause( 6478, [] )
% 1.68/2.05 , clause( 6642, [] )
% 1.68/2.05 , substitution( 0, [] ), permutation( 0, [] ) ).
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05 end.
% 1.68/2.05
% 1.68/2.05 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.68/2.05
% 1.68/2.05 Memory use:
% 1.68/2.05
% 1.68/2.05 space for terms: 95642
% 1.68/2.05 space for clauses: 246129
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05 clauses generated: 45267
% 1.68/2.05 clauses kept: 6479
% 1.68/2.05 clauses selected: 360
% 1.68/2.05 clauses deleted: 63
% 1.68/2.05 clauses inuse deleted: 53
% 1.68/2.05
% 1.68/2.05 subsentry: 349652
% 1.68/2.05 literals s-matched: 122083
% 1.68/2.05 literals matched: 90302
% 1.68/2.05 full subsumption: 40319
% 1.68/2.05
% 1.68/2.05 checksum: -1014275364
% 1.68/2.05
% 1.68/2.05
% 1.68/2.05 Bliksem ended
%------------------------------------------------------------------------------