TSTP Solution File: HEN010-6 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : HEN010-6 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.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 : Sat Jul 16 12:47:12 EDT 2022
% Result : Unsatisfiable 0.70s 1.57s
% Output : Refutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HEN010-6 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n013.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 : Fri Jul 1 14:18:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.70/1.57 *** allocated 10000 integers for termspace/termends
% 0.70/1.57 *** allocated 10000 integers for clauses
% 0.70/1.57 *** allocated 10000 integers for justifications
% 0.70/1.57 Bliksem 1.12
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57 Automatic Strategy Selection
% 0.70/1.57
% 0.70/1.57 Clauses:
% 0.70/1.57 [
% 0.70/1.57 [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ],
% 0.70/1.57 [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ],
% 0.70/1.57 [ 'less_equal'( divide( X, Y ), X ) ],
% 0.70/1.57 [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), divide( divide(
% 0.70/1.57 X, Z ), Y ) ) ],
% 0.70/1.57 [ 'less_equal'( zero, X ) ],
% 0.70/1.57 [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y ) ],
% 0.70/1.57 [ 'less_equal'( X, identity ) ],
% 0.70/1.57 [ =( divide( X, identity ), zero ) ],
% 0.70/1.57 [ =( divide( zero, X ), zero ) ],
% 0.70/1.57 [ =( divide( X, X ), zero ) ],
% 0.70/1.57 [ =( divide( a, zero ), a ) ],
% 0.70/1.57 [ ~( 'less_equal'( divide( X, Y ), Z ) ), 'less_equal'( divide( X, Z ),
% 0.70/1.57 Y ) ],
% 0.70/1.57 [ ~( 'less_equal'( X, Y ) ), 'less_equal'( divide( Z, Y ), divide( Z, X
% 0.70/1.57 ) ) ],
% 0.70/1.57 [ ~( 'less_equal'( X, Y ) ), 'less_equal'( divide( X, Z ), divide( Y, Z
% 0.70/1.57 ) ) ],
% 0.70/1.57 [ =( divide( identity, divide( identity, divide( identity, X ) ) ),
% 0.70/1.57 divide( identity, X ) ) ],
% 0.70/1.57 [ ~( =( divide( identity, a ), divide( divide( identity, a ), divide(
% 0.70/1.57 identity, divide( identity, a ) ) ) ) ) ]
% 0.70/1.57 ] .
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57 percentage equality = 0.391304, percentage horn = 1.000000
% 0.70/1.57 This is a problem with some equality
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57 Options Used:
% 0.70/1.57
% 0.70/1.57 useres = 1
% 0.70/1.57 useparamod = 1
% 0.70/1.57 useeqrefl = 1
% 0.70/1.57 useeqfact = 1
% 0.70/1.57 usefactor = 1
% 0.70/1.57 usesimpsplitting = 0
% 0.70/1.57 usesimpdemod = 5
% 0.70/1.57 usesimpres = 3
% 0.70/1.57
% 0.70/1.57 resimpinuse = 1000
% 0.70/1.57 resimpclauses = 20000
% 0.70/1.57 substype = eqrewr
% 0.70/1.57 backwardsubs = 1
% 0.70/1.57 selectoldest = 5
% 0.70/1.57
% 0.70/1.57 litorderings [0] = split
% 0.70/1.57 litorderings [1] = extend the termordering, first sorting on arguments
% 0.70/1.57
% 0.70/1.57 termordering = kbo
% 0.70/1.57
% 0.70/1.57 litapriori = 0
% 0.70/1.57 termapriori = 1
% 0.70/1.57 litaposteriori = 0
% 0.70/1.57 termaposteriori = 0
% 0.70/1.57 demodaposteriori = 0
% 0.70/1.57 ordereqreflfact = 0
% 0.70/1.57
% 0.70/1.57 litselect = negord
% 0.70/1.57
% 0.70/1.57 maxweight = 15
% 0.70/1.57 maxdepth = 30000
% 0.70/1.57 maxlength = 115
% 0.70/1.57 maxnrvars = 195
% 0.70/1.57 excuselevel = 1
% 0.70/1.57 increasemaxweight = 1
% 0.70/1.57
% 0.70/1.57 maxselected = 10000000
% 0.70/1.57 maxnrclauses = 10000000
% 0.70/1.57
% 0.70/1.57 showgenerated = 0
% 0.70/1.57 showkept = 0
% 0.70/1.57 showselected = 0
% 0.70/1.57 showdeleted = 0
% 0.70/1.57 showresimp = 1
% 0.70/1.57 showstatus = 2000
% 0.70/1.57
% 0.70/1.57 prologoutput = 1
% 0.70/1.57 nrgoals = 5000000
% 0.70/1.57 totalproof = 1
% 0.70/1.57
% 0.70/1.57 Symbols occurring in the translation:
% 0.70/1.57
% 0.70/1.57 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.70/1.57 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.70/1.57 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.70/1.57 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.57 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.57 'less_equal' [41, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.70/1.57 divide [42, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.70/1.57 zero [43, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.70/1.57 identity [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.70/1.57 a [46, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57 Starting Search:
% 0.70/1.57
% 0.70/1.57 Resimplifying inuse:
% 0.70/1.57 Done
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57 Intermediate Status:
% 0.70/1.57 Generated: 34066
% 0.70/1.57 Kept: 2006
% 0.70/1.57 Inuse: 188
% 0.70/1.57 Deleted: 90
% 0.70/1.57 Deletedinuse: 23
% 0.70/1.57
% 0.70/1.57 Resimplifying inuse:
% 0.70/1.57
% 0.70/1.57 Bliksems!, er is een bewijs:
% 0.70/1.57 % SZS status Unsatisfiable
% 0.70/1.57 % SZS output start Refutation
% 0.70/1.57
% 0.70/1.57 clause( 1, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 0.70/1.57 .
% 0.70/1.57 clause( 2, [ 'less_equal'( divide( X, Y ), X ) ] )
% 0.70/1.57 .
% 0.70/1.57 clause( 3, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), divide(
% 0.70/1.57 divide( X, Z ), Y ) ) ] )
% 0.70/1.57 .
% 0.70/1.57 clause( 4, [ 'less_equal'( zero, X ) ] )
% 0.70/1.57 .
% 0.70/1.57 clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y
% 0.70/1.57 ) ] )
% 0.70/1.57 .
% 0.70/1.57 clause( 9, [ =( divide( X, X ), zero ) ] )
% 0.70/1.57 .
% 0.70/1.57 clause( 11, [ ~( 'less_equal'( divide( X, Y ), Z ) ), 'less_equal'( divide(
% 0.70/1.57 X, Z ), Y ) ] )
% 0.70/1.57 .
% 0.70/1.57 clause( 12, [ ~( 'less_equal'( X, Y ) ), 'less_equal'( divide( Z, Y ),
% 0.70/1.57 divide( Z, X ) ) ] )
% 0.70/1.57 .
% 0.70/1.57 clause( 14, [ =( divide( identity, divide( identity, divide( identity, X )
% 0.70/1.57 ) ), divide( identity, X ) ) ] )
% 0.70/1.57 .
% 0.70/1.57 clause( 15, [ ~( =( divide( divide( identity, a ), divide( identity, divide(
% 0.70/1.57 identity, a ) ) ), divide( identity, a ) ) ) ] )
% 0.70/1.57 .
% 0.70/1.57 clause( 22, [ ~( 'less_equal'( X, Y ) ), =( Y, X ), ~( =( divide( Y, X ),
% 0.70/1.57 zero ) ) ] )
% 0.70/1.57 .
% 0.70/1.57 clause( 24, [ ~( 'less_equal'( X, zero ) ), =( zero, X ) ] )
% 0.70/1.57 .
% 0.70/1.57 clause( 39, [ ~( 'less_equal'( divide( divide( X, Y ), Z ), divide( divide(
% 0.70/1.57 X, Z ), divide( Y, Z ) ) ) ), =( divide( divide( X, Z ), divide( Y, Z ) )
% 0.70/1.57 , divide( divide( X, Y ), Z ) ) ] )
% 0.70/1.57 .
% 0.70/1.57 clause( 100, [ 'less_equal'( divide( X, Y ), divide( X, zero ) ) ] )
% 0.70/1.57 .
% 0.70/1.57 clause( 108, [ 'less_equal'( divide( X, divide( X, zero ) ), Y ) ] )
% 0.70/1.57 .
% 0.70/1.57 clause( 121, [ =( divide( X, divide( X, zero ) ), zero ) ] )
% 0.70/1.57 .
% 0.70/1.57 clause( 393, [ =( divide( X, zero ), X ) ] )
% 0.70/1.57 .
% 0.70/1.57 clause( 701, [ =( divide( divide( X, Y ), Y ), divide( X, Y ) ) ] )
% 0.70/1.57 .
% 0.70/1.57 clause( 1546, [ =( divide( divide( identity, X ), divide( identity, divide(
% 0.70/1.57 identity, X ) ) ), divide( identity, X ) ) ] )
% 0.70/1.57 .
% 0.70/1.57 clause( 2030, [] )
% 0.70/1.57 .
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57 % SZS output end Refutation
% 0.70/1.57 found a proof!
% 0.70/1.57
% 0.70/1.57 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.57
% 0.70/1.57 initialclauses(
% 0.70/1.57 [ clause( 2032, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 0.70/1.57 , clause( 2033, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 0.70/1.57 , clause( 2034, [ 'less_equal'( divide( X, Y ), X ) ] )
% 0.70/1.57 , clause( 2035, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ),
% 0.70/1.57 divide( divide( X, Z ), Y ) ) ] )
% 0.70/1.57 , clause( 2036, [ 'less_equal'( zero, X ) ] )
% 0.70/1.57 , clause( 2037, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =(
% 0.70/1.57 X, Y ) ] )
% 0.70/1.57 , clause( 2038, [ 'less_equal'( X, identity ) ] )
% 0.70/1.57 , clause( 2039, [ =( divide( X, identity ), zero ) ] )
% 0.70/1.57 , clause( 2040, [ =( divide( zero, X ), zero ) ] )
% 0.70/1.57 , clause( 2041, [ =( divide( X, X ), zero ) ] )
% 0.70/1.57 , clause( 2042, [ =( divide( a, zero ), a ) ] )
% 0.70/1.57 , clause( 2043, [ ~( 'less_equal'( divide( X, Y ), Z ) ), 'less_equal'(
% 0.70/1.57 divide( X, Z ), Y ) ] )
% 0.70/1.57 , clause( 2044, [ ~( 'less_equal'( X, Y ) ), 'less_equal'( divide( Z, Y ),
% 0.70/1.57 divide( Z, X ) ) ] )
% 0.70/1.57 , clause( 2045, [ ~( 'less_equal'( X, Y ) ), 'less_equal'( divide( X, Z ),
% 0.70/1.57 divide( Y, Z ) ) ] )
% 0.70/1.57 , clause( 2046, [ =( divide( identity, divide( identity, divide( identity,
% 0.70/1.57 X ) ) ), divide( identity, X ) ) ] )
% 0.70/1.57 , clause( 2047, [ ~( =( divide( identity, a ), divide( divide( identity, a
% 0.70/1.57 ), divide( identity, divide( identity, a ) ) ) ) ) ] )
% 0.70/1.57 ] ).
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57 subsumption(
% 0.70/1.57 clause( 1, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 0.70/1.57 , clause( 2033, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 0.70/1.57 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.57 ), ==>( 1, 1 )] ) ).
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57 subsumption(
% 0.70/1.57 clause( 2, [ 'less_equal'( divide( X, Y ), X ) ] )
% 0.70/1.57 , clause( 2034, [ 'less_equal'( divide( X, Y ), X ) ] )
% 0.70/1.57 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.57 )] ) ).
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57 subsumption(
% 0.70/1.57 clause( 3, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), divide(
% 0.70/1.57 divide( X, Z ), Y ) ) ] )
% 0.70/1.57 , clause( 2035, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ),
% 0.70/1.57 divide( divide( X, Z ), Y ) ) ] )
% 0.70/1.57 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.70/1.57 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57 subsumption(
% 0.70/1.57 clause( 4, [ 'less_equal'( zero, X ) ] )
% 0.70/1.57 , clause( 2036, [ 'less_equal'( zero, X ) ] )
% 0.70/1.57 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57 subsumption(
% 0.70/1.57 clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y
% 0.70/1.57 ) ] )
% 0.70/1.57 , clause( 2037, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =(
% 0.70/1.57 X, Y ) ] )
% 0.70/1.57 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.57 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57 subsumption(
% 0.70/1.57 clause( 9, [ =( divide( X, X ), zero ) ] )
% 0.70/1.57 , clause( 2041, [ =( divide( X, X ), zero ) ] )
% 0.70/1.57 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57 subsumption(
% 0.70/1.57 clause( 11, [ ~( 'less_equal'( divide( X, Y ), Z ) ), 'less_equal'( divide(
% 0.70/1.57 X, Z ), Y ) ] )
% 0.70/1.57 , clause( 2043, [ ~( 'less_equal'( divide( X, Y ), Z ) ), 'less_equal'(
% 0.70/1.57 divide( X, Z ), Y ) ] )
% 0.70/1.57 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.70/1.57 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57 subsumption(
% 0.70/1.57 clause( 12, [ ~( 'less_equal'( X, Y ) ), 'less_equal'( divide( Z, Y ),
% 0.70/1.57 divide( Z, X ) ) ] )
% 0.70/1.57 , clause( 2044, [ ~( 'less_equal'( X, Y ) ), 'less_equal'( divide( Z, Y ),
% 0.70/1.57 divide( Z, X ) ) ] )
% 0.70/1.57 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.70/1.57 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57 subsumption(
% 0.70/1.57 clause( 14, [ =( divide( identity, divide( identity, divide( identity, X )
% 0.70/1.57 ) ), divide( identity, X ) ) ] )
% 0.70/1.57 , clause( 2046, [ =( divide( identity, divide( identity, divide( identity,
% 0.70/1.57 X ) ) ), divide( identity, X ) ) ] )
% 0.70/1.57 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57 eqswap(
% 0.70/1.57 clause( 2095, [ ~( =( divide( divide( identity, a ), divide( identity,
% 0.70/1.57 divide( identity, a ) ) ), divide( identity, a ) ) ) ] )
% 0.70/1.57 , clause( 2047, [ ~( =( divide( identity, a ), divide( divide( identity, a
% 0.70/1.57 ), divide( identity, divide( identity, a ) ) ) ) ) ] )
% 0.70/1.57 , 0, substitution( 0, [] )).
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57 subsumption(
% 0.70/1.57 clause( 15, [ ~( =( divide( divide( identity, a ), divide( identity, divide(
% 0.70/1.57 identity, a ) ) ), divide( identity, a ) ) ) ] )
% 0.70/1.57 , clause( 2095, [ ~( =( divide( divide( identity, a ), divide( identity,
% 0.70/1.57 divide( identity, a ) ) ), divide( identity, a ) ) ) ] )
% 0.70/1.57 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57 eqswap(
% 0.70/1.57 clause( 2096, [ ~( =( zero, divide( X, Y ) ) ), 'less_equal'( X, Y ) ] )
% 0.70/1.57 , clause( 1, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 0.70/1.57 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57 resolution(
% 0.70/1.57 clause( 2098, [ ~( 'less_equal'( X, Y ) ), =( X, Y ), ~( =( zero, divide( Y
% 0.70/1.57 , X ) ) ) ] )
% 0.70/1.57 , clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X,
% 0.70/1.57 Y ) ] )
% 0.70/1.57 , 1, clause( 2096, [ ~( =( zero, divide( X, Y ) ) ), 'less_equal'( X, Y ) ]
% 0.70/1.57 )
% 0.70/1.57 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.70/1.57 , Y ), :=( Y, X )] )).
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57 eqswap(
% 0.70/1.57 clause( 2099, [ ~( =( divide( X, Y ), zero ) ), ~( 'less_equal'( Y, X ) ),
% 0.70/1.57 =( Y, X ) ] )
% 0.70/1.57 , clause( 2098, [ ~( 'less_equal'( X, Y ) ), =( X, Y ), ~( =( zero, divide(
% 0.70/1.57 Y, X ) ) ) ] )
% 0.70/1.57 , 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57 eqswap(
% 0.70/1.57 clause( 2100, [ =( Y, X ), ~( =( divide( Y, X ), zero ) ), ~( 'less_equal'(
% 0.70/1.57 X, Y ) ) ] )
% 0.70/1.57 , clause( 2099, [ ~( =( divide( X, Y ), zero ) ), ~( 'less_equal'( Y, X ) )
% 0.70/1.57 , =( Y, X ) ] )
% 0.70/1.57 , 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57 subsumption(
% 0.70/1.57 clause( 22, [ ~( 'less_equal'( X, Y ) ), =( Y, X ), ~( =( divide( Y, X ),
% 0.70/1.57 zero ) ) ] )
% 0.70/1.57 , clause( 2100, [ =( Y, X ), ~( =( divide( Y, X ), zero ) ), ~(
% 0.70/1.57 'less_equal'( X, Y ) ) ] )
% 0.70/1.57 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.70/1.57 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57 resolution(
% 0.70/1.57 clause( 2101, [ ~( 'less_equal'( X, zero ) ), =( zero, X ) ] )
% 0.70/1.57 , clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X,
% 0.70/1.57 Y ) ] )
% 0.70/1.57 , 0, clause( 4, [ 'less_equal'( zero, X ) ] )
% 0.70/1.57 , 0, substitution( 0, [ :=( X, zero ), :=( Y, X )] ), substitution( 1, [
% 0.70/1.57 :=( X, X )] )).
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57 subsumption(
% 0.70/1.57 clause( 24, [ ~( 'less_equal'( X, zero ) ), =( zero, X ) ] )
% 0.70/1.57 , clause( 2101, [ ~( 'less_equal'( X, zero ) ), =( zero, X ) ] )
% 0.70/1.57 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.70/1.57 1 )] ) ).
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57 resolution(
% 0.70/1.57 clause( 2103, [ ~( 'less_equal'( divide( divide( X, Z ), Y ), divide(
% 0.70/1.57 divide( X, Y ), divide( Z, Y ) ) ) ), =( divide( divide( X, Y ), divide(
% 0.70/1.57 Z, Y ) ), divide( divide( X, Z ), Y ) ) ] )
% 0.70/1.57 , clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X,
% 0.70/1.57 Y ) ] )
% 0.70/1.57 , 0, clause( 3, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ),
% 0.70/1.57 divide( divide( X, Z ), Y ) ) ] )
% 0.70/1.57 , 0, substitution( 0, [ :=( X, divide( divide( X, Y ), divide( Z, Y ) ) ),
% 0.70/1.57 :=( Y, divide( divide( X, Z ), Y ) )] ), substitution( 1, [ :=( X, X ),
% 0.70/1.57 :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57 subsumption(
% 0.70/1.57 clause( 39, [ ~( 'less_equal'( divide( divide( X, Y ), Z ), divide( divide(
% 0.70/1.57 X, Z ), divide( Y, Z ) ) ) ), =( divide( divide( X, Z ), divide( Y, Z ) )
% 0.70/1.57 , divide( divide( X, Y ), Z ) ) ] )
% 0.70/1.57 , clause( 2103, [ ~( 'less_equal'( divide( divide( X, Z ), Y ), divide(
% 0.70/1.57 divide( X, Y ), divide( Z, Y ) ) ) ), =( divide( divide( X, Y ), divide(
% 0.70/1.57 Z, Y ) ), divide( divide( X, Z ), Y ) ) ] )
% 0.70/1.57 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.70/1.57 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57 resolution(
% 0.70/1.57 clause( 2105, [ 'less_equal'( divide( Y, X ), divide( Y, zero ) ) ] )
% 0.70/1.57 , clause( 12, [ ~( 'less_equal'( X, Y ) ), 'less_equal'( divide( Z, Y ),
% 0.70/1.57 divide( Z, X ) ) ] )
% 0.70/1.57 , 0, clause( 4, [ 'less_equal'( zero, X ) ] )
% 0.70/1.57 , 0, substitution( 0, [ :=( X, zero ), :=( Y, X ), :=( Z, Y )] ),
% 0.70/1.57 substitution( 1, [ :=( X, X )] )).
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57 subsumption(
% 0.70/1.57 clause( 100, [ 'less_equal'( divide( X, Y ), divide( X, zero ) ) ] )
% 0.70/1.57 , clause( 2105, [ 'less_equal'( divide( Y, X ), divide( Y, zero ) ) ] )
% 0.70/1.57 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.57 )] ) ).
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57 resolution(
% 0.70/1.57 clause( 2106, [ 'less_equal'( divide( X, divide( X, zero ) ), Y ) ] )
% 0.70/1.57 , clause( 11, [ ~( 'less_equal'( divide( X, Y ), Z ) ), 'less_equal'(
% 0.70/1.57 divide( X, Z ), Y ) ] )
% 0.70/1.57 , 0, clause( 100, [ 'less_equal'( divide( X, Y ), divide( X, zero ) ) ] )
% 0.70/1.57 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, divide( X, zero ) )] )
% 0.70/1.57 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57 subsumption(
% 0.70/1.57 clause( 108, [ 'less_equal'( divide( X, divide( X, zero ) ), Y ) ] )
% 0.70/1.57 , clause( 2106, [ 'less_equal'( divide( X, divide( X, zero ) ), Y ) ] )
% 0.70/1.57 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.57 )] ) ).
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57 eqswap(
% 0.70/1.57 clause( 2107, [ =( X, zero ), ~( 'less_equal'( X, zero ) ) ] )
% 0.70/1.57 , clause( 24, [ ~( 'less_equal'( X, zero ) ), =( zero, X ) ] )
% 0.70/1.57 , 1, substitution( 0, [ :=( X, X )] )).
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57 resolution(
% 0.70/1.57 clause( 2108, [ =( divide( X, divide( X, zero ) ), zero ) ] )
% 0.70/1.57 , clause( 2107, [ =( X, zero ), ~( 'less_equal'( X, zero ) ) ] )
% 0.70/1.57 , 1, clause( 108, [ 'less_equal'( divide( X, divide( X, zero ) ), Y ) ] )
% 0.70/1.57 , 0, substitution( 0, [ :=( X, divide( X, divide( X, zero ) ) )] ),
% 0.70/1.57 substitution( 1, [ :=( X, X ), :=( Y, zero )] )).
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57 subsumption(
% 0.70/1.57 clause( 121, [ =( divide( X, divide( X, zero ) ), zero ) ] )
% 0.70/1.57 , clause( 2108, [ =( divide( X, divide( X, zero ) ), zero ) ] )
% 0.70/1.57 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57 eqswap(
% 0.70/1.57 clause( 2110, [ =( zero, divide( X, divide( X, zero ) ) ) ] )
% 0.70/1.57 , clause( 121, [ =( divide( X, divide( X, zero ) ), zero ) ] )
% 0.70/1.57 , 0, substitution( 0, [ :=( X, X )] )).
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57 eqswap(
% 0.70/1.57 clause( 2112, [ ~( =( zero, divide( X, Y ) ) ), ~( 'less_equal'( Y, X ) ),
% 0.70/1.57 =( X, Y ) ] )
% 0.70/1.57 , clause( 22, [ ~( 'less_equal'( X, Y ) ), =( Y, X ), ~( =( divide( Y, X )
% 0.70/1.57 , zero ) ) ] )
% 0.70/1.57 , 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57 eqswap(
% 0.70/1.57 clause( 2113, [ =( Y, X ), ~( =( zero, divide( X, Y ) ) ), ~( 'less_equal'(
% 0.70/1.57 Y, X ) ) ] )
% 0.70/1.57 , clause( 2112, [ ~( =( zero, divide( X, Y ) ) ), ~( 'less_equal'( Y, X ) )
% 0.70/1.57 , =( X, Y ) ] )
% 0.70/1.57 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57 resolution(
% 0.70/1.57 clause( 2114, [ =( divide( X, zero ), X ), ~( 'less_equal'( divide( X, zero
% 0.70/1.57 ), X ) ) ] )
% 0.70/1.57 , clause( 2113, [ =( Y, X ), ~( =( zero, divide( X, Y ) ) ), ~(
% 0.70/1.57 'less_equal'( Y, X ) ) ] )
% 0.70/1.57 , 1, clause( 2110, [ =( zero, divide( X, divide( X, zero ) ) ) ] )
% 0.70/1.57 , 0, substitution( 0, [ :=( X, X ), :=( Y, divide( X, zero ) )] ),
% 0.70/1.57 substitution( 1, [ :=( X, X )] )).
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57 resolution(
% 0.70/1.57 clause( 2115, [ =( divide( X, zero ), X ) ] )
% 0.70/1.57 , clause( 2114, [ =( divide( X, zero ), X ), ~( 'less_equal'( divide( X,
% 0.70/1.57 zero ), X ) ) ] )
% 0.70/1.57 , 1, clause( 2, [ 'less_equal'( divide( X, Y ), X ) ] )
% 0.70/1.57 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.70/1.57 , zero )] )).
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57 subsumption(
% 0.70/1.57 clause( 393, [ =( divide( X, zero ), X ) ] )
% 0.70/1.57 , clause( 2115, [ =( divide( X, zero ), X ) ] )
% 0.70/1.57 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57 eqswap(
% 0.70/1.57 clause( 2117, [ =( divide( divide( X, Z ), Y ), divide( divide( X, Y ),
% 0.70/1.57 divide( Z, Y ) ) ), ~( 'less_equal'( divide( divide( X, Z ), Y ), divide(
% 0.70/1.57 divide( X, Y ), divide( Z, Y ) ) ) ) ] )
% 0.70/1.57 , clause( 39, [ ~( 'less_equal'( divide( divide( X, Y ), Z ), divide(
% 0.70/1.57 divide( X, Z ), divide( Y, Z ) ) ) ), =( divide( divide( X, Z ), divide(
% 0.70/1.57 Y, Z ) ), divide( divide( X, Y ), Z ) ) ] )
% 0.70/1.57 , 1, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57 resolution(
% 0.70/1.57 clause( 2121, [ =( divide( divide( X, Y ), Y ), divide( divide( X, Y ),
% 0.70/1.57 divide( Y, Y ) ) ), ~( 'less_equal'( divide( Y, Y ), Y ) ) ] )
% 0.70/1.57 , clause( 2117, [ =( divide( divide( X, Z ), Y ), divide( divide( X, Y ),
% 0.70/1.57 divide( Z, Y ) ) ), ~( 'less_equal'( divide( divide( X, Z ), Y ), divide(
% 0.70/1.57 divide( X, Y ), divide( Z, Y ) ) ) ) ] )
% 0.70/1.57 , 1, clause( 12, [ ~( 'less_equal'( X, Y ) ), 'less_equal'( divide( Z, Y )
% 0.70/1.57 , divide( Z, X ) ) ] )
% 0.70/1.57 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] ),
% 0.70/1.57 substitution( 1, [ :=( X, divide( Y, Y ) ), :=( Y, Y ), :=( Z, divide( X
% 0.70/1.57 , Y ) )] )).
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57 paramod(
% 0.70/1.57 clause( 2123, [ ~( 'less_equal'( zero, X ) ), =( divide( divide( Y, X ), X
% 0.70/1.57 ), divide( divide( Y, X ), divide( X, X ) ) ) ] )
% 0.70/1.57 , clause( 9, [ =( divide( X, X ), zero ) ] )
% 0.70/1.57 , 0, clause( 2121, [ =( divide( divide( X, Y ), Y ), divide( divide( X, Y )
% 0.70/1.57 , divide( Y, Y ) ) ), ~( 'less_equal'( divide( Y, Y ), Y ) ) ] )
% 0.70/1.57 , 1, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 0.70/1.57 :=( Y, X )] )).
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57 paramod(
% 0.70/1.57 clause( 2125, [ =( divide( divide( X, Y ), Y ), divide( divide( X, Y ),
% 0.70/1.57 zero ) ), ~( 'less_equal'( zero, Y ) ) ] )
% 0.70/1.57 , clause( 9, [ =( divide( X, X ), zero ) ] )
% 0.70/1.57 , 0, clause( 2123, [ ~( 'less_equal'( zero, X ) ), =( divide( divide( Y, X
% 0.70/1.57 ), X ), divide( divide( Y, X ), divide( X, X ) ) ) ] )
% 0.70/1.57 , 1, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, Y ),
% 0.70/1.57 :=( Y, X )] )).
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57 paramod(
% 0.70/1.57 clause( 2126, [ =( divide( divide( X, Y ), Y ), divide( X, Y ) ), ~(
% 0.70/1.57 'less_equal'( zero, Y ) ) ] )
% 0.70/1.57 , clause( 393, [ =( divide( X, zero ), X ) ] )
% 0.70/1.57 , 0, clause( 2125, [ =( divide( divide( X, Y ), Y ), divide( divide( X, Y )
% 0.70/1.57 , zero ) ), ~( 'less_equal'( zero, Y ) ) ] )
% 0.70/1.57 , 0, 6, substitution( 0, [ :=( X, divide( X, Y ) )] ), substitution( 1, [
% 0.70/1.57 :=( X, X ), :=( Y, Y )] )).
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57 resolution(
% 0.70/1.57 clause( 2127, [ =( divide( divide( X, Y ), Y ), divide( X, Y ) ) ] )
% 0.70/1.57 , clause( 2126, [ =( divide( divide( X, Y ), Y ), divide( X, Y ) ), ~(
% 0.70/1.57 'less_equal'( zero, Y ) ) ] )
% 0.70/1.57 , 1, clause( 4, [ 'less_equal'( zero, X ) ] )
% 0.70/1.57 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.70/1.57 , Y )] )).
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57 subsumption(
% 0.70/1.57 clause( 701, [ =( divide( divide( X, Y ), Y ), divide( X, Y ) ) ] )
% 0.70/1.57 , clause( 2127, [ =( divide( divide( X, Y ), Y ), divide( X, Y ) ) ] )
% 0.70/1.57 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.57 )] ) ).
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57 eqswap(
% 0.70/1.57 clause( 2130, [ =( divide( X, Y ), divide( divide( X, Y ), Y ) ) ] )
% 0.70/1.57 , clause( 701, [ =( divide( divide( X, Y ), Y ), divide( X, Y ) ) ] )
% 0.70/1.57 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57 paramod(
% 0.70/1.57 clause( 2132, [ =( divide( identity, divide( identity, divide( identity, X
% 0.70/1.57 ) ) ), divide( divide( identity, X ), divide( identity, divide( identity
% 0.70/1.57 , X ) ) ) ) ] )
% 0.70/1.57 , clause( 14, [ =( divide( identity, divide( identity, divide( identity, X
% 0.70/1.57 ) ) ), divide( identity, X ) ) ] )
% 0.70/1.57 , 0, clause( 2130, [ =( divide( X, Y ), divide( divide( X, Y ), Y ) ) ] )
% 0.70/1.57 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.70/1.57 identity ), :=( Y, divide( identity, divide( identity, X ) ) )] )).
% 0.70/1.57
% 0.70/1.57
% 0.70/1.57 paramod(
% 0.70/1.57 clause( 2133, [ =( divide( identity, X ), divide( divide( identity, X ),
% 0.70/1.57 divide( identity, divide( identity, X ) ) ) ) ] )
% 0.70/1.57 , clause( 14, [ =( divide( identity, divide( identity, divide( identity, X
% 0.70/1.57 ) ) ), divide( identity, X ) ) ] )
% 0.70/1.57 , 0, clause( 2132, [ =( divide( identity, divide( identity, divide(
% 0.70/1.58 identity, X ) ) ), divide( divide( identity, X ), divide( identity,
% 0.70/1.58 divide( identity, X ) ) ) ) ] )
% 0.70/1.58 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.70/1.58 ).
% 0.70/1.58
% 0.70/1.58
% 0.70/1.58 eqswap(
% 0.70/1.58 clause( 2135, [ =( divide( divide( identity, X ), divide( identity, divide(
% 0.70/1.58 identity, X ) ) ), divide( identity, X ) ) ] )
% 0.70/1.58 , clause( 2133, [ =( divide( identity, X ), divide( divide( identity, X ),
% 0.70/1.58 divide( identity, divide( identity, X ) ) ) ) ] )
% 0.70/1.58 , 0, substitution( 0, [ :=( X, X )] )).
% 0.70/1.58
% 0.70/1.58
% 0.70/1.58 subsumption(
% 0.70/1.58 clause( 1546, [ =( divide( divide( identity, X ), divide( identity, divide(
% 0.70/1.58 identity, X ) ) ), divide( identity, X ) ) ] )
% 0.70/1.58 , clause( 2135, [ =( divide( divide( identity, X ), divide( identity,
% 0.70/1.58 divide( identity, X ) ) ), divide( identity, X ) ) ] )
% 0.70/1.58 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.58
% 0.70/1.58
% 0.70/1.58 paramod(
% 0.70/1.58 clause( 2139, [ ~( =( divide( identity, a ), divide( identity, a ) ) ) ] )
% 0.70/1.58 , clause( 1546, [ =( divide( divide( identity, X ), divide( identity,
% 0.70/1.58 divide( identity, X ) ) ), divide( identity, X ) ) ] )
% 0.70/1.58 , 0, clause( 15, [ ~( =( divide( divide( identity, a ), divide( identity,
% 0.70/1.58 divide( identity, a ) ) ), divide( identity, a ) ) ) ] )
% 0.70/1.58 , 0, 2, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.70/1.58
% 0.70/1.58
% 0.70/1.58 eqrefl(
% 0.70/1.58 clause( 2140, [] )
% 0.70/1.58 , clause( 2139, [ ~( =( divide( identity, a ), divide( identity, a ) ) ) ]
% 0.70/1.58 )
% 0.70/1.58 , 0, substitution( 0, [] )).
% 0.70/1.58
% 0.70/1.58
% 0.70/1.58 subsumption(
% 0.70/1.58 clause( 2030, [] )
% 0.70/1.58 , clause( 2140, [] )
% 0.70/1.58 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.70/1.58
% 0.70/1.58
% 0.70/1.58 end.
% 0.70/1.58
% 0.70/1.58 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.58
% 0.70/1.58 Memory use:
% 0.70/1.58
% 0.70/1.58 space for terms: 29983
% 0.70/1.58 space for clauses: 92635
% 0.70/1.58
% 0.70/1.58
% 0.70/1.58 clauses generated: 34877
% 0.70/1.58 clauses kept: 2031
% 0.70/1.58 clauses selected: 191
% 0.70/1.58 clauses deleted: 101
% 0.70/1.58 clauses inuse deleted: 33
% 0.70/1.58
% 0.70/1.58 subsentry: 161684
% 0.70/1.58 literals s-matched: 83732
% 0.70/1.58 literals matched: 83583
% 0.70/1.58 full subsumption: 39146
% 0.70/1.58
% 0.70/1.58 checksum: -937290918
% 0.70/1.58
% 0.70/1.58
% 0.70/1.58 Bliksem ended
%------------------------------------------------------------------------------