TSTP Solution File: BOO006-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : BOO006-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n024.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 23:30:34 EDT 2022
% Result : Unsatisfiable 1.57s 1.94s
% Output : Refutation 1.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : BOO006-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Wed Jun 1 19:44:21 EDT 2022
% 0.14/0.34 % CPUTime :
% 1.57/1.94 *** allocated 10000 integers for termspace/termends
% 1.57/1.94 *** allocated 10000 integers for clauses
% 1.57/1.94 *** allocated 10000 integers for justifications
% 1.57/1.94 Bliksem 1.12
% 1.57/1.94
% 1.57/1.94
% 1.57/1.94 Automatic Strategy Selection
% 1.57/1.94
% 1.57/1.94 Clauses:
% 1.57/1.94 [
% 1.57/1.94 [ sum( X, Y, add( X, Y ) ) ],
% 1.57/1.94 [ product( X, Y, multiply( X, Y ) ) ],
% 1.57/1.94 [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ],
% 1.57/1.94 [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ],
% 1.57/1.94 [ sum( 'additive_identity', X, X ) ],
% 1.57/1.94 [ sum( X, 'additive_identity', X ) ],
% 1.57/1.94 [ product( 'multiplicative_identity', X, X ) ],
% 1.57/1.94 [ product( X, 'multiplicative_identity', X ) ],
% 1.57/1.94 [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T, W ) )
% 1.57/1.94 , ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ],
% 1.57/1.94 [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T, W ) )
% 1.57/1.94 , ~( sum( Z, U, V0 ) ), product( X, W, V0 ) ],
% 1.57/1.94 [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X, T, W ) )
% 1.57/1.94 , ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ],
% 1.57/1.94 [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X, T, W ) )
% 1.57/1.94 , ~( sum( Z, U, V0 ) ), product( W, Y, V0 ) ],
% 1.57/1.94 [ ~( sum( X, Y, Z ) ), ~( sum( X, T, U ) ), ~( product( Y, T, W ) ), ~(
% 1.57/1.94 sum( X, W, V0 ) ), product( Z, U, V0 ) ],
% 1.57/1.94 [ ~( sum( X, Y, Z ) ), ~( sum( X, T, U ) ), ~( product( Y, T, W ) ), ~(
% 1.57/1.94 product( Z, U, V0 ) ), sum( X, W, V0 ) ],
% 1.57/1.94 [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T, W ) ), ~(
% 1.57/1.94 sum( W, Y, V0 ) ), product( Z, U, V0 ) ],
% 1.57/1.94 [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T, W ) ), ~(
% 1.57/1.94 product( Z, U, V0 ) ), sum( W, Y, V0 ) ],
% 1.57/1.94 [ sum( inverse( X ), X, 'multiplicative_identity' ) ],
% 1.57/1.94 [ sum( X, inverse( X ), 'multiplicative_identity' ) ],
% 1.57/1.94 [ product( inverse( X ), X, 'additive_identity' ) ],
% 1.57/1.94 [ product( X, inverse( X ), 'additive_identity' ) ],
% 1.57/1.94 [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ],
% 1.57/1.94 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 1.57/1.94 [ ~( product( x, 'additive_identity', 'additive_identity' ) ) ]
% 1.57/1.94 ] .
% 1.57/1.94
% 1.57/1.94
% 1.57/1.94 percentage equality = 0.032787, percentage horn = 1.000000
% 1.57/1.94 This is a problem with some equality
% 1.57/1.94
% 1.57/1.94
% 1.57/1.94
% 1.57/1.94 Options Used:
% 1.57/1.94
% 1.57/1.94 useres = 1
% 1.57/1.94 useparamod = 1
% 1.57/1.94 useeqrefl = 1
% 1.57/1.94 useeqfact = 1
% 1.57/1.94 usefactor = 1
% 1.57/1.94 usesimpsplitting = 0
% 1.57/1.94 usesimpdemod = 5
% 1.57/1.94 usesimpres = 3
% 1.57/1.94
% 1.57/1.94 resimpinuse = 1000
% 1.57/1.94 resimpclauses = 20000
% 1.57/1.94 substype = eqrewr
% 1.57/1.94 backwardsubs = 1
% 1.57/1.94 selectoldest = 5
% 1.57/1.94
% 1.57/1.94 litorderings [0] = split
% 1.57/1.94 litorderings [1] = extend the termordering, first sorting on arguments
% 1.57/1.94
% 1.57/1.94 termordering = kbo
% 1.57/1.94
% 1.57/1.94 litapriori = 0
% 1.57/1.94 termapriori = 1
% 1.57/1.94 litaposteriori = 0
% 1.57/1.94 termaposteriori = 0
% 1.57/1.94 demodaposteriori = 0
% 1.57/1.94 ordereqreflfact = 0
% 1.57/1.94
% 1.57/1.94 litselect = negord
% 1.57/1.94
% 1.57/1.94 maxweight = 15
% 1.57/1.94 maxdepth = 30000
% 1.57/1.94 maxlength = 115
% 1.57/1.94 maxnrvars = 195
% 1.57/1.94 excuselevel = 1
% 1.57/1.94 increasemaxweight = 1
% 1.57/1.94
% 1.57/1.94 maxselected = 10000000
% 1.57/1.94 maxnrclauses = 10000000
% 1.57/1.94
% 1.57/1.94 showgenerated = 0
% 1.57/1.94 showkept = 0
% 1.57/1.94 showselected = 0
% 1.57/1.94 showdeleted = 0
% 1.57/1.94 showresimp = 1
% 1.57/1.94 showstatus = 2000
% 1.57/1.94
% 1.57/1.94 prologoutput = 1
% 1.57/1.94 nrgoals = 5000000
% 1.57/1.94 totalproof = 1
% 1.57/1.94
% 1.57/1.94 Symbols occurring in the translation:
% 1.57/1.94
% 1.57/1.94 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.57/1.94 . [1, 2] (w:1, o:27, a:1, s:1, b:0),
% 1.57/1.94 ! [4, 1] (w:0, o:21, a:1, s:1, b:0),
% 1.57/1.94 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.57/1.94 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.57/1.94 add [41, 2] (w:1, o:52, a:1, s:1, b:0),
% 1.57/1.94 sum [42, 3] (w:1, o:54, a:1, s:1, b:0),
% 1.57/1.94 multiply [43, 2] (w:1, o:53, a:1, s:1, b:0),
% 1.57/1.94 product [44, 3] (w:1, o:55, a:1, s:1, b:0),
% 1.57/1.94 'additive_identity' [46, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.57/1.94 'multiplicative_identity' [47, 0] (w:1, o:13, a:1, s:1, b:0),
% 1.57/1.94 inverse [52, 1] (w:1, o:26, a:1, s:1, b:0),
% 1.57/1.94 x [55, 0] (w:1, o:20, a:1, s:1, b:0).
% 1.57/1.94
% 1.57/1.94
% 1.57/1.94 Starting Search:
% 1.57/1.94
% 1.57/1.94 Resimplifying inuse:
% 1.57/1.94 Done
% 1.57/1.94
% 1.57/1.94
% 1.57/1.94 Intermediate Status:
% 1.57/1.94 Generated: 9149
% 1.57/1.94 Kept: 2016
% 1.57/1.94 Inuse: 115
% 1.57/1.94 Deleted: 0
% 1.57/1.94 Deletedinuse: 0
% 1.57/1.94
% 1.57/1.94 Resimplifying inuse:
% 1.57/1.94 Done
% 1.57/1.94
% 1.57/1.94 Resimplifying inuse:
% 1.57/1.94 Done
% 1.57/1.94
% 1.57/1.94
% 1.57/1.94 Intermediate Status:
% 1.57/1.94 Generated: 24566
% 1.57/1.94 Kept: 4031
% 1.57/1.94 Inuse: 229
% 1.57/1.94 Deleted: 2
% 1.57/1.94 Deletedinuse: 1
% 1.57/1.94
% 1.57/1.94 Resimplifying inuse:
% 1.57/1.94 Done
% 1.57/1.94
% 1.57/1.94 Resimplifying inuse:
% 1.57/1.94 Done
% 1.57/1.94
% 1.57/1.94
% 1.57/1.94 Intermediate Status:
% 1.57/1.94 Generated: 44690
% 1.57/1.94 Kept: 6050
% 1.57/1.94 Inuse: 339
% 1.57/1.94 Deleted: 3
% 1.57/1.94 Deletedinuse: 1
% 1.57/1.94
% 1.57/1.94 Resimplifying inuse:
% 1.57/1.94 Done
% 1.57/1.94
% 1.57/1.94
% 1.57/1.94 Bliksems!, er is een bewijs:
% 1.57/1.94 % SZS status Unsatisfiable
% 1.57/1.94 % SZS output start Refutation
% 1.57/1.94
% 1.57/1.94 clause( 1, [ product( X, Y, multiply( X, Y ) ) ] )
% 1.57/1.94 .
% 1.57/1.94 clause( 3, [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ] )
% 1.57/1.94 .
% 1.57/1.94 clause( 4, [ sum( 'additive_identity', X, X ) ] )
% 1.57/1.94 .
% 1.57/1.94 clause( 5, [ sum( X, 'additive_identity', X ) ] )
% 1.57/1.94 .
% 1.57/1.94 clause( 8, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T
% 1.57/1.94 , W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 1.57/1.94 .
% 1.57/1.94 clause( 19, [ product( X, inverse( X ), 'additive_identity' ) ] )
% 1.57/1.94 .
% 1.57/1.94 clause( 20, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 1.57/1.94 .
% 1.57/1.94 clause( 22, [ ~( product( x, 'additive_identity', 'additive_identity' ) ) ]
% 1.57/1.94 )
% 1.57/1.94 .
% 1.57/1.94 clause( 51, [ product( X, Y, multiply( Y, X ) ) ] )
% 1.57/1.94 .
% 1.57/1.94 clause( 72, [ ~( product( X, Y, Z ) ), ~( product( X, 'additive_identity',
% 1.57/1.94 T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 1.57/1.94 .
% 1.57/1.94 clause( 86, [ ~( product( X, Y, Z ) ), ~( product( X, 'additive_identity',
% 1.57/1.94 T ) ), sum( Z, T, Z ) ] )
% 1.57/1.94 .
% 1.57/1.94 clause( 801, [ ~( sum( 'additive_identity', X, Y ) ), =( X, Y ) ] )
% 1.57/1.94 .
% 1.57/1.94 clause( 964, [ ~( product( x, X, X ) ), ~( sum( 'additive_identity', X,
% 1.57/1.94 'additive_identity' ) ) ] )
% 1.57/1.94 .
% 1.57/1.94 clause( 6505, [ ~( product( X, 'additive_identity', Y ) ), sum(
% 1.57/1.94 'additive_identity', Y, 'additive_identity' ) ] )
% 1.57/1.94 .
% 1.57/1.94 clause( 6528, [ sum( 'additive_identity', multiply( 'additive_identity', X
% 1.57/1.94 ), 'additive_identity' ) ] )
% 1.57/1.94 .
% 1.57/1.94 clause( 6640, [ =( multiply( 'additive_identity', X ), 'additive_identity'
% 1.57/1.94 ) ] )
% 1.57/1.94 .
% 1.57/1.94 clause( 6659, [ product( X, 'additive_identity', 'additive_identity' ) ] )
% 1.57/1.94 .
% 1.57/1.94 clause( 6672, [] )
% 1.57/1.94 .
% 1.57/1.94
% 1.57/1.94
% 1.57/1.94 % SZS output end Refutation
% 1.57/1.94 found a proof!
% 1.57/1.94
% 1.57/1.94 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.57/1.94
% 1.57/1.94 initialclauses(
% 1.57/1.94 [ clause( 6674, [ sum( X, Y, add( X, Y ) ) ] )
% 1.57/1.94 , clause( 6675, [ product( X, Y, multiply( X, Y ) ) ] )
% 1.57/1.94 , clause( 6676, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 1.57/1.94 , clause( 6677, [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ] )
% 1.57/1.94 , clause( 6678, [ sum( 'additive_identity', X, X ) ] )
% 1.57/1.94 , clause( 6679, [ sum( X, 'additive_identity', X ) ] )
% 1.57/1.94 , clause( 6680, [ product( 'multiplicative_identity', X, X ) ] )
% 1.57/1.94 , clause( 6681, [ product( X, 'multiplicative_identity', X ) ] )
% 1.57/1.94 , clause( 6682, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 1.57/1.94 Y, T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 1.57/1.94 , clause( 6683, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 1.57/1.94 Y, T, W ) ), ~( sum( Z, U, V0 ) ), product( X, W, V0 ) ] )
% 1.57/1.94 , clause( 6684, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum(
% 1.57/1.94 X, T, W ) ), ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ] )
% 1.57/1.94 , clause( 6685, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum(
% 1.57/1.94 X, T, W ) ), ~( sum( Z, U, V0 ) ), product( W, Y, V0 ) ] )
% 1.57/1.94 , clause( 6686, [ ~( sum( X, Y, Z ) ), ~( sum( X, T, U ) ), ~( product( Y,
% 1.57/1.94 T, W ) ), ~( sum( X, W, V0 ) ), product( Z, U, V0 ) ] )
% 1.57/1.94 , clause( 6687, [ ~( sum( X, Y, Z ) ), ~( sum( X, T, U ) ), ~( product( Y,
% 1.57/1.94 T, W ) ), ~( product( Z, U, V0 ) ), sum( X, W, V0 ) ] )
% 1.57/1.94 , clause( 6688, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X,
% 1.57/1.94 T, W ) ), ~( sum( W, Y, V0 ) ), product( Z, U, V0 ) ] )
% 1.57/1.94 , clause( 6689, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X,
% 1.57/1.94 T, W ) ), ~( product( Z, U, V0 ) ), sum( W, Y, V0 ) ] )
% 1.57/1.94 , clause( 6690, [ sum( inverse( X ), X, 'multiplicative_identity' ) ] )
% 1.57/1.94 , clause( 6691, [ sum( X, inverse( X ), 'multiplicative_identity' ) ] )
% 1.57/1.94 , clause( 6692, [ product( inverse( X ), X, 'additive_identity' ) ] )
% 1.57/1.94 , clause( 6693, [ product( X, inverse( X ), 'additive_identity' ) ] )
% 1.57/1.94 , clause( 6694, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 1.57/1.94 , clause( 6695, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T
% 1.57/1.94 ) ] )
% 1.57/1.94 , clause( 6696, [ ~( product( x, 'additive_identity', 'additive_identity' )
% 1.57/1.94 ) ] )
% 1.57/1.94 ] ).
% 1.57/1.94
% 1.57/1.94
% 1.57/1.94
% 1.57/1.94 subsumption(
% 1.57/1.94 clause( 1, [ product( X, Y, multiply( X, Y ) ) ] )
% 1.57/1.94 , clause( 6675, [ product( X, Y, multiply( X, Y ) ) ] )
% 1.57/1.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.57/1.94 )] ) ).
% 1.57/1.94
% 1.57/1.94
% 1.57/1.94 subsumption(
% 1.57/1.94 clause( 3, [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ] )
% 1.57/1.94 , clause( 6677, [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ] )
% 1.57/1.94 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.57/1.94 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 1.57/1.94
% 1.57/1.94
% 1.57/1.94 subsumption(
% 1.57/1.94 clause( 4, [ sum( 'additive_identity', X, X ) ] )
% 1.57/1.94 , clause( 6678, [ sum( 'additive_identity', X, X ) ] )
% 1.57/1.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.57/1.94
% 1.57/1.94
% 1.57/1.94 subsumption(
% 1.57/1.94 clause( 5, [ sum( X, 'additive_identity', X ) ] )
% 1.57/1.94 , clause( 6679, [ sum( X, 'additive_identity', X ) ] )
% 1.57/1.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.57/1.94
% 1.57/1.94
% 1.57/1.94 subsumption(
% 1.57/1.94 clause( 8, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T
% 1.57/1.94 , W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 1.57/1.94 , clause( 6682, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 1.57/1.94 Y, T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 1.57/1.94 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.57/1.94 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1
% 1.57/1.94 , 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 1.57/1.94
% 1.57/1.94
% 1.57/1.94 subsumption(
% 1.57/1.94 clause( 19, [ product( X, inverse( X ), 'additive_identity' ) ] )
% 1.57/1.94 , clause( 6693, [ product( X, inverse( X ), 'additive_identity' ) ] )
% 1.57/1.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.57/1.94
% 1.57/1.94
% 1.57/1.94 subsumption(
% 1.57/1.94 clause( 20, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 1.57/1.94 , clause( 6694, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 1.57/1.94 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.57/1.94 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 1.57/1.94
% 1.57/1.94
% 1.57/1.94 subsumption(
% 1.57/1.94 clause( 22, [ ~( product( x, 'additive_identity', 'additive_identity' ) ) ]
% 1.57/1.94 )
% 1.57/1.94 , clause( 6696, [ ~( product( x, 'additive_identity', 'additive_identity' )
% 1.57/1.94 ) ] )
% 1.57/1.94 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.57/1.94
% 1.57/1.94
% 1.57/1.94 resolution(
% 1.57/1.94 clause( 6788, [ product( Y, X, multiply( X, Y ) ) ] )
% 1.57/1.94 , clause( 3, [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ] )
% 1.57/1.94 , 0, clause( 1, [ product( X, Y, multiply( X, Y ) ) ] )
% 1.57/1.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, multiply( X, Y ) )] )
% 1.57/1.94 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.57/1.94
% 1.57/1.94
% 1.57/1.94 subsumption(
% 1.57/1.94 clause( 51, [ product( X, Y, multiply( Y, X ) ) ] )
% 1.57/1.94 , clause( 6788, [ product( Y, X, multiply( X, Y ) ) ] )
% 1.57/1.94 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.57/1.94 )] ) ).
% 1.57/1.94
% 1.57/1.94
% 1.57/1.94 resolution(
% 1.57/1.94 clause( 6789, [ ~( product( X, Y, Z ) ), ~( product( X, 'additive_identity'
% 1.57/1.94 , T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 1.57/1.94 , clause( 8, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y
% 1.57/1.94 , T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 1.57/1.94 , 2, clause( 5, [ sum( X, 'additive_identity', X ) ] )
% 1.57/1.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T,
% 1.57/1.94 'additive_identity' ), :=( U, T ), :=( W, Y ), :=( V0, U )] ),
% 1.57/1.94 substitution( 1, [ :=( X, Y )] )).
% 1.57/1.94
% 1.57/1.94
% 1.57/1.94 subsumption(
% 1.57/1.94 clause( 72, [ ~( product( X, Y, Z ) ), ~( product( X, 'additive_identity',
% 1.57/1.94 T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 1.57/1.94 , clause( 6789, [ ~( product( X, Y, Z ) ), ~( product( X,
% 1.57/1.94 'additive_identity', T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 1.57/1.94 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.57/1.94 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3
% 1.57/1.94 , 3 )] ) ).
% 1.57/1.94
% 1.57/1.94
% 1.57/1.94 factor(
% 1.57/1.94 clause( 6795, [ ~( product( X, Y, Z ) ), ~( product( X, 'additive_identity'
% 1.57/1.94 , T ) ), sum( Z, T, Z ) ] )
% 1.57/1.94 , clause( 72, [ ~( product( X, Y, Z ) ), ~( product( X, 'additive_identity'
% 1.57/1.94 , T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 1.57/1.94 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 1.57/1.94 :=( U, Z )] )).
% 1.57/1.94
% 1.57/1.94
% 1.57/1.94 subsumption(
% 1.57/1.94 clause( 86, [ ~( product( X, Y, Z ) ), ~( product( X, 'additive_identity',
% 1.57/1.94 T ) ), sum( Z, T, Z ) ] )
% 1.57/1.94 , clause( 6795, [ ~( product( X, Y, Z ) ), ~( product( X,
% 1.57/1.94 'additive_identity', T ) ), sum( Z, T, Z ) ] )
% 1.57/1.94 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.57/1.94 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 1.57/1.94
% 1.57/1.94
% 1.57/1.94 resolution(
% 1.57/1.94 clause( 6798, [ ~( sum( 'additive_identity', X, Y ) ), =( X, Y ) ] )
% 178.51/179.00 , clause( 20, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 178.51/179.00 , 0, clause( 4, [ sum( 'additive_identity', X, X ) ] )
% 178.51/179.00 , 0, substitution( 0, [ :=( X, 'additive_identity' ), :=( Y, X ), :=( Z, X
% 178.51/179.00 ), :=( T, Y )] ), substitution( 1, [ :=( X, X )] )).
% 178.51/179.00
% 178.51/179.00
% 178.51/179.00 subsumption(
% 178.51/179.00 clause( 801, [ ~( sum( 'additive_identity', X, Y ) ), =( X, Y ) ] )
% 178.51/179.00 , clause( 6798, [ ~( sum( 'additive_identity', X, Y ) ), =( X, Y ) ] )
% 178.51/179.00 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 178.51/179.00 ), ==>( 1, 1 )] ) ).
% 178.51/179.00
% 178.51/179.00
% 178.51/179.00 eqswap(
% 178.51/179.00 clause( 6800, [ =( Y, X ), ~( sum( 'additive_identity', X, Y ) ) ] )
% 178.51/179.00 , clause( 801, [ ~( sum( 'additive_identity', X, Y ) ), =( X, Y ) ] )
% 178.51/179.00 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 178.51/179.00
% 178.51/179.00
% 178.51/179.00 paramod(
% 178.51/179.00 clause( 6803, [ ~( product( x, 'additive_identity', X ) ), ~( sum(
% 178.51/179.00 'additive_identity', X, 'additive_identity' ) ) ] )
% 178.51/179.00 , clause( 6800, [ =( Y, X ), ~( sum( 'additive_identity', X, Y ) ) ] )
% 178.51/179.00 , 0, clause( 22, [ ~( product( x, 'additive_identity', 'additive_identity'
% 178.51/179.00 ) ) ] )
% 178.51/179.00 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, 'additive_identity' )] ),
% 178.51/179.00 substitution( 1, [] )).
% 178.51/179.00
% 178.51/179.00
% 178.51/179.00 paramod(
% 178.51/179.00 clause( 6805, [ ~( product( x, Y, X ) ), ~( sum( 'additive_identity', Y,
% 178.51/179.00 'additive_identity' ) ), ~( sum( 'additive_identity', X,
% 178.51/179.00 'additive_identity' ) ) ] )
% 178.51/179.00 , clause( 6800, [ =( Y, X ), ~( sum( 'additive_identity', X, Y ) ) ] )
% 178.51/179.00 , 0, clause( 6803, [ ~( product( x, 'additive_identity', X ) ), ~( sum(
% 178.51/179.00 'additive_identity', X, 'additive_identity' ) ) ] )
% 178.51/179.00 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, 'additive_identity' )] ),
% 178.51/179.00 substitution( 1, [ :=( X, X )] )).
% 178.51/179.00
% 178.51/179.00
% 178.51/179.00 factor(
% 178.51/179.00 clause( 43382, [ ~( product( x, X, X ) ), ~( sum( 'additive_identity', X,
% 178.51/179.00 'additive_identity' ) ) ] )
% 178.51/179.00 , clause( 6805, [ ~( product( x, Y, X ) ), ~( sum( 'additive_identity', Y,
% 178.51/179.00 'additive_identity' ) ), ~( sum( 'additive_identity', X,
% 178.51/179.00 'additive_identity' ) ) ] )
% 178.51/179.00 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, X )] )).
% 178.51/179.00
% 178.51/179.00
% 178.51/179.00 subsumption(
% 178.51/179.00 clause( 964, [ ~( product( x, X, X ) ), ~( sum( 'additive_identity', X,
% 178.51/179.00 'additive_identity' ) ) ] )
% 178.51/179.00 , clause( 43382, [ ~( product( x, X, X ) ), ~( sum( 'additive_identity', X
% 178.51/179.00 , 'additive_identity' ) ) ] )
% 178.51/179.00 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 178.51/179.00 1 )] ) ).
% 178.51/179.00
% 178.51/179.00
% 178.51/179.00 resolution(
% 178.51/179.00 clause( 43383, [ ~( product( X, 'additive_identity', Y ) ), sum(
% 178.51/179.00 'additive_identity', Y, 'additive_identity' ) ] )
% 178.51/179.00 , clause( 86, [ ~( product( X, Y, Z ) ), ~( product( X, 'additive_identity'
% 178.51/179.00 , T ) ), sum( Z, T, Z ) ] )
% 178.51/179.00 , 0, clause( 19, [ product( X, inverse( X ), 'additive_identity' ) ] )
% 178.51/179.00 , 0, substitution( 0, [ :=( X, X ), :=( Y, inverse( X ) ), :=( Z,
% 178.51/179.00 'additive_identity' ), :=( T, Y )] ), substitution( 1, [ :=( X, X )] )
% 178.51/179.00 ).
% 178.51/179.00
% 178.51/179.00
% 178.51/179.00 subsumption(
% 178.51/179.00 clause( 6505, [ ~( product( X, 'additive_identity', Y ) ), sum(
% 178.51/179.00 'additive_identity', Y, 'additive_identity' ) ] )
% 178.51/179.00 , clause( 43383, [ ~( product( X, 'additive_identity', Y ) ), sum(
% 178.51/179.00 'additive_identity', Y, 'additive_identity' ) ] )
% 178.51/179.00 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 178.51/179.00 ), ==>( 1, 1 )] ) ).
% 178.51/179.00
% 178.51/179.00
% 178.51/179.00 resolution(
% 178.51/179.00 clause( 43384, [ sum( 'additive_identity', multiply( 'additive_identity', X
% 178.51/179.00 ), 'additive_identity' ) ] )
% 178.51/179.00 , clause( 6505, [ ~( product( X, 'additive_identity', Y ) ), sum(
% 178.51/179.00 'additive_identity', Y, 'additive_identity' ) ] )
% 178.51/179.00 , 0, clause( 51, [ product( X, Y, multiply( Y, X ) ) ] )
% 178.51/179.00 , 0, substitution( 0, [ :=( X, X ), :=( Y, multiply( 'additive_identity', X
% 178.51/179.00 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, 'additive_identity' )] )
% 178.51/179.00 ).
% 178.51/179.00
% 178.51/179.00
% 178.51/179.00 subsumption(
% 178.51/179.00 clause( 6528, [ sum( 'additive_identity', multiply( 'additive_identity', X
% 178.51/179.00 ), 'additive_identity' ) ] )
% 178.51/179.00 , clause( 43384, [ sum( 'additive_identity', multiply( 'additive_identity'
% 178.51/179.00 , X ), 'additive_identity' ) ] )
% 178.51/179.00 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 178.51/179.00
% 178.51/179.00
% 178.51/179.00 eqswap(
% 178.51/179.00 clause( 43385, [ =( Y, X ), ~( sum( 'additive_identity', X, Y ) ) ] )
% 178.51/179.00 , clause( 801, [ ~( sum( 'additive_identity', X, Y ) ), =( X, Y ) ] )
% 178.51/179.00 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 178.51/179.00
% 178.51/179.00
% 178.51/179.00 resolution(
% 178.51/179.00 clause( 43386, [ =( 'additive_identity', multiply( 'additive_identity', X )
% 178.51/179.00 ) ] )
% 178.51/179.00 , clause( 43385, [ =( Y, X ), ~( sum( 'additive_identity', X, Y ) ) ] )
% 178.51/179.00 , 1, clause( 6528, [ sum( 'additive_identity', multiply(
% 178.51/179.00 'additive_identity', X ), 'additive_identity' ) ] )
% 178.51/179.00 , 0, substitution( 0, [ :=( X, multiply( 'additive_identity', X ) ), :=( Y
% 178.51/179.00 , 'additive_identity' )] ), substitution( 1, [ :=( X, X )] )).
% 178.51/179.00
% 178.51/179.00
% 178.51/179.00 eqswap(
% 178.51/179.00 clause( 43387, [ =( multiply( 'additive_identity', X ), 'additive_identity'
% 178.51/179.00 ) ] )
% 178.51/179.00 , clause( 43386, [ =( 'additive_identity', multiply( 'additive_identity', X
% 178.51/179.00 ) ) ] )
% 178.51/179.00 , 0, substitution( 0, [ :=( X, X )] )).
% 178.51/179.00
% 178.51/179.00
% 178.51/179.00 subsumption(
% 178.51/179.00 clause( 6640, [ =( multiply( 'additive_identity', X ), 'additive_identity'
% 178.51/179.00 ) ] )
% 178.51/179.00 , clause( 43387, [ =( multiply( 'additive_identity', X ),
% 178.51/179.00 'additive_identity' ) ] )
% 178.51/179.00 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 178.51/179.00
% 178.51/179.00
% 178.51/179.00 paramod(
% 178.51/179.00 clause( 43389, [ product( X, 'additive_identity', 'additive_identity' ) ]
% 178.51/179.00 )
% 178.51/179.00 , clause( 6640, [ =( multiply( 'additive_identity', X ),
% 178.51/179.00 'additive_identity' ) ] )
% 178.51/179.00 , 0, clause( 51, [ product( X, Y, multiply( Y, X ) ) ] )
% 178.51/179.00 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 178.51/179.00 :=( Y, 'additive_identity' )] )).
% 178.51/179.00
% 178.51/179.00
% 178.51/179.00 subsumption(
% 178.51/179.00 clause( 6659, [ product( X, 'additive_identity', 'additive_identity' ) ] )
% 178.51/179.00 , clause( 43389, [ product( X, 'additive_identity', 'additive_identity' ) ]
% 178.51/179.00 )
% 178.51/179.00 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 178.51/179.00
% 178.51/179.00
% 178.51/179.00 resolution(
% 178.51/179.00 clause( 43390, [ ~( sum( 'additive_identity', 'additive_identity',
% 178.51/179.00 'additive_identity' ) ) ] )
% 178.51/179.00 , clause( 964, [ ~( product( x, X, X ) ), ~( sum( 'additive_identity', X,
% 178.51/179.00 'additive_identity' ) ) ] )
% 178.51/179.00 , 0, clause( 6659, [ product( X, 'additive_identity', 'additive_identity' )
% 178.51/179.00 ] )
% 178.51/179.00 , 0, substitution( 0, [ :=( X, 'additive_identity' )] ), substitution( 1, [
% 178.51/179.00 :=( X, x )] )).
% 178.51/179.00
% 178.51/179.00
% 178.51/179.00 resolution(
% 178.51/179.00 clause( 43391, [] )
% 178.51/179.00 , clause( 43390, [ ~( sum( 'additive_identity', 'additive_identity',
% 178.51/179.00 'additive_identity' ) ) ] )
% 178.51/179.00 , 0, clause( 5, [ sum( X, 'additive_identity', X ) ] )
% 178.51/179.00 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'additive_identity' )] )
% 178.51/179.00 ).
% 178.51/179.00
% 178.51/179.00
% 178.51/179.00 subsumption(
% 178.51/179.00 clause( 6672, [] )
% 178.51/179.00 , clause( 43391, [] )
% 178.51/179.00 , substitution( 0, [] ), permutation( 0, [] ) ).
% 178.51/179.00
% 178.51/179.00
% 178.51/179.00 end.
% 178.51/179.00
% 178.51/179.00 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 178.51/179.00
% 178.51/179.00 Memory use:
% 178.51/179.00
% 178.51/179.00 space for terms: 99433
% 178.51/179.00 space for clauses: 258441
% 178.51/179.00
% 178.51/179.00
% 178.51/179.00 clauses generated: 48224
% 178.51/179.00 clauses kept: 6673
% 178.51/179.00 clauses selected: 364
% 178.51/179.00 clauses deleted: 15
% 178.51/179.00 clauses inuse deleted: 11
% 178.51/179.00
% 178.51/179.00 subsentry: 335573260
% 178.51/179.00 literals s-matched: 84189406
% 178.51/179.00 literals matched: 58830418
% 178.51/179.00 full subsumption: 58743700
% 178.51/179.00
% 178.51/179.00 checksum: -217891820
% 178.51/179.00
% 178.51/179.00
% 178.51/179.00 Bliksem ended
%------------------------------------------------------------------------------