TSTP Solution File: HEN009-6 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : HEN009-6 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 12:47:10 EDT 2022
% Result : Unsatisfiable 0.78s 1.21s
% Output : Refutation 0.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HEN009-6 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Fri Jul 1 14:25:04 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.78/1.21 *** allocated 10000 integers for termspace/termends
% 0.78/1.21 *** allocated 10000 integers for clauses
% 0.78/1.21 *** allocated 10000 integers for justifications
% 0.78/1.21 Bliksem 1.12
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 Automatic Strategy Selection
% 0.78/1.21
% 0.78/1.21 Clauses:
% 0.78/1.21 [
% 0.78/1.21 [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ],
% 0.78/1.21 [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ],
% 0.78/1.21 [ 'less_equal'( divide( X, Y ), X ) ],
% 0.78/1.21 [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), divide( divide(
% 0.78/1.21 X, Z ), Y ) ) ],
% 0.78/1.21 [ 'less_equal'( zero, X ) ],
% 0.78/1.21 [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y ) ],
% 0.78/1.21 [ 'less_equal'( X, identity ) ],
% 0.78/1.21 [ =( divide( X, identity ), zero ) ],
% 0.78/1.21 [ =( divide( zero, X ), zero ) ],
% 0.78/1.21 [ =( divide( X, X ), zero ) ],
% 0.78/1.21 [ ~( 'less_equal'( divide( X, Y ), Z ) ), 'less_equal'( divide( X, Z ),
% 0.78/1.21 Y ) ],
% 0.78/1.21 [ ~( 'less_equal'( X, Y ) ), 'less_equal'( divide( X, Z ), divide( Y, Z
% 0.78/1.21 ) ) ],
% 0.78/1.21 [ ~( =( divide( identity, a ), divide( identity, divide( identity,
% 0.78/1.21 divide( identity, a ) ) ) ) ) ],
% 0.78/1.21 [ =( divide( identity, a ), b ) ],
% 0.78/1.21 [ =( divide( identity, b ), c ) ],
% 0.78/1.21 [ =( divide( identity, c ), d ) ],
% 0.78/1.21 [ ~( =( b, d ) ) ]
% 0.78/1.21 ] .
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 percentage equality = 0.478261, percentage horn = 1.000000
% 0.78/1.21 This is a problem with some equality
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 Options Used:
% 0.78/1.21
% 0.78/1.21 useres = 1
% 0.78/1.21 useparamod = 1
% 0.78/1.21 useeqrefl = 1
% 0.78/1.21 useeqfact = 1
% 0.78/1.21 usefactor = 1
% 0.78/1.21 usesimpsplitting = 0
% 0.78/1.21 usesimpdemod = 5
% 0.78/1.21 usesimpres = 3
% 0.78/1.21
% 0.78/1.21 resimpinuse = 1000
% 0.78/1.21 resimpclauses = 20000
% 0.78/1.21 substype = eqrewr
% 0.78/1.21 backwardsubs = 1
% 0.78/1.21 selectoldest = 5
% 0.78/1.21
% 0.78/1.21 litorderings [0] = split
% 0.78/1.21 litorderings [1] = extend the termordering, first sorting on arguments
% 0.78/1.21
% 0.78/1.21 termordering = kbo
% 0.78/1.21
% 0.78/1.21 litapriori = 0
% 0.78/1.21 termapriori = 1
% 0.78/1.21 litaposteriori = 0
% 0.78/1.21 termaposteriori = 0
% 0.78/1.21 demodaposteriori = 0
% 0.78/1.21 ordereqreflfact = 0
% 0.78/1.21
% 0.78/1.21 litselect = negord
% 0.78/1.21
% 0.78/1.21 maxweight = 15
% 0.78/1.21 maxdepth = 30000
% 0.78/1.21 maxlength = 115
% 0.78/1.21 maxnrvars = 195
% 0.78/1.21 excuselevel = 1
% 0.78/1.21 increasemaxweight = 1
% 0.78/1.21
% 0.78/1.21 maxselected = 10000000
% 0.78/1.21 maxnrclauses = 10000000
% 0.78/1.21
% 0.78/1.21 showgenerated = 0
% 0.78/1.21 showkept = 0
% 0.78/1.21 showselected = 0
% 0.78/1.21 showdeleted = 0
% 0.78/1.21 showresimp = 1
% 0.78/1.21 showstatus = 2000
% 0.78/1.21
% 0.78/1.21 prologoutput = 1
% 0.78/1.21 nrgoals = 5000000
% 0.78/1.21 totalproof = 1
% 0.78/1.21
% 0.78/1.21 Symbols occurring in the translation:
% 0.78/1.21
% 0.78/1.21 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.78/1.21 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 0.78/1.21 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 0.78/1.21 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.78/1.21 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.78/1.21 'less_equal' [41, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.78/1.21 divide [42, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.78/1.21 zero [43, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.78/1.21 identity [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.78/1.21 a [46, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.78/1.21 b [47, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.78/1.21 c [48, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.78/1.21 d [49, 0] (w:1, o:17, a:1, s:1, b:0).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 Starting Search:
% 0.78/1.21
% 0.78/1.21 Resimplifying inuse:
% 0.78/1.21 Done
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 Bliksems!, er is een bewijs:
% 0.78/1.21 % SZS status Unsatisfiable
% 0.78/1.21 % SZS output start Refutation
% 0.78/1.21
% 0.78/1.21 clause( 0, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 0.78/1.21 .
% 0.78/1.21 clause( 1, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 0.78/1.21 .
% 0.78/1.21 clause( 2, [ 'less_equal'( divide( X, Y ), X ) ] )
% 0.78/1.21 .
% 0.78/1.21 clause( 3, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), divide(
% 0.78/1.21 divide( X, Z ), Y ) ) ] )
% 0.78/1.21 .
% 0.78/1.21 clause( 4, [ 'less_equal'( zero, X ) ] )
% 0.78/1.21 .
% 0.78/1.21 clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y
% 0.78/1.21 ) ] )
% 0.78/1.21 .
% 0.78/1.21 clause( 6, [ 'less_equal'( X, identity ) ] )
% 0.78/1.21 .
% 0.78/1.21 clause( 9, [ =( divide( X, X ), zero ) ] )
% 0.78/1.21 .
% 0.78/1.21 clause( 10, [ ~( 'less_equal'( divide( X, Y ), Z ) ), 'less_equal'( divide(
% 0.78/1.21 X, Z ), Y ) ] )
% 0.78/1.21 .
% 0.78/1.21 clause( 11, [ ~( 'less_equal'( X, Y ) ), 'less_equal'( divide( X, Z ),
% 0.78/1.21 divide( Y, Z ) ) ] )
% 0.78/1.21 .
% 0.78/1.21 clause( 13, [ =( divide( identity, a ), b ) ] )
% 0.78/1.21 .
% 0.78/1.21 clause( 14, [ =( divide( identity, b ), c ) ] )
% 0.78/1.21 .
% 0.78/1.21 clause( 15, [ =( divide( identity, c ), d ) ] )
% 0.78/1.21 .
% 0.78/1.21 clause( 16, [ ~( =( d, b ) ) ] )
% 0.78/1.21 .
% 0.78/1.21 clause( 20, [ 'less_equal'( X, X ) ] )
% 0.78/1.21 .
% 0.78/1.21 clause( 27, [ 'less_equal'( divide( b, divide( X, a ) ), divide( divide(
% 0.78/1.21 identity, X ), a ) ) ] )
% 0.78/1.21 .
% 0.78/1.21 clause( 53, [ ~( 'less_equal'( X, Y ) ), =( Y, X ), ~( =( divide( Y, X ),
% 0.78/1.21 zero ) ) ] )
% 0.78/1.21 .
% 0.78/1.21 clause( 54, [ ~( 'less_equal'( X, divide( X, Y ) ) ), =( divide( X, Y ), X
% 0.78/1.21 ) ] )
% 0.78/1.21 .
% 0.78/1.21 clause( 55, [ ~( 'less_equal'( X, zero ) ), =( zero, X ) ] )
% 0.78/1.21 .
% 0.78/1.21 clause( 107, [ 'less_equal'( divide( X, divide( X, Y ) ), Y ) ] )
% 0.78/1.21 .
% 0.78/1.21 clause( 144, [ 'less_equal'( divide( X, a ), b ) ] )
% 0.78/1.21 .
% 0.78/1.21 clause( 145, [ 'less_equal'( divide( X, b ), c ) ] )
% 0.78/1.21 .
% 0.78/1.21 clause( 149, [ 'less_equal'( divide( X, b ), a ) ] )
% 0.78/1.21 .
% 0.78/1.21 clause( 151, [ =( divide( divide( X, a ), b ), zero ) ] )
% 0.78/1.21 .
% 0.78/1.21 clause( 161, [ 'less_equal'( c, a ) ] )
% 0.78/1.21 .
% 0.78/1.21 clause( 164, [ =( divide( c, a ), zero ) ] )
% 0.78/1.21 .
% 0.78/1.21 clause( 168, [ 'less_equal'( divide( X, c ), b ) ] )
% 0.78/1.21 .
% 0.78/1.21 clause( 182, [ 'less_equal'( d, b ) ] )
% 0.78/1.21 .
% 0.78/1.21 clause( 184, [ ~( 'less_equal'( b, d ) ), =( d, b ) ] )
% 0.78/1.21 .
% 0.78/1.21 clause( 337, [ 'less_equal'( divide( b, zero ), divide( d, a ) ) ] )
% 0.78/1.21 .
% 0.78/1.21 clause( 568, [ ~( 'less_equal'( b, d ) ) ] )
% 0.78/1.21 .
% 0.78/1.21 clause( 1311, [ =( divide( X, divide( X, zero ) ), zero ) ] )
% 0.78/1.21 .
% 0.78/1.21 clause( 1358, [ =( divide( X, zero ), X ) ] )
% 0.78/1.21 .
% 0.78/1.21 clause( 1366, [ 'less_equal'( b, divide( d, a ) ) ] )
% 0.78/1.21 .
% 0.78/1.21 clause( 1391, [ =( divide( d, a ), b ) ] )
% 0.78/1.21 .
% 0.78/1.21 clause( 1392, [ ~( 'less_equal'( d, b ) ) ] )
% 0.78/1.21 .
% 0.78/1.21 clause( 1399, [] )
% 0.78/1.21 .
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 % SZS output end Refutation
% 0.78/1.21 found a proof!
% 0.78/1.21
% 0.78/1.21 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.78/1.21
% 0.78/1.21 initialclauses(
% 0.78/1.21 [ clause( 1401, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 0.78/1.21 , clause( 1402, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 0.78/1.21 , clause( 1403, [ 'less_equal'( divide( X, Y ), X ) ] )
% 0.78/1.21 , clause( 1404, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ),
% 0.78/1.21 divide( divide( X, Z ), Y ) ) ] )
% 0.78/1.21 , clause( 1405, [ 'less_equal'( zero, X ) ] )
% 0.78/1.21 , clause( 1406, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =(
% 0.78/1.21 X, Y ) ] )
% 0.78/1.21 , clause( 1407, [ 'less_equal'( X, identity ) ] )
% 0.78/1.21 , clause( 1408, [ =( divide( X, identity ), zero ) ] )
% 0.78/1.21 , clause( 1409, [ =( divide( zero, X ), zero ) ] )
% 0.78/1.21 , clause( 1410, [ =( divide( X, X ), zero ) ] )
% 0.78/1.21 , clause( 1411, [ ~( 'less_equal'( divide( X, Y ), Z ) ), 'less_equal'(
% 0.78/1.21 divide( X, Z ), Y ) ] )
% 0.78/1.21 , clause( 1412, [ ~( 'less_equal'( X, Y ) ), 'less_equal'( divide( X, Z ),
% 0.78/1.21 divide( Y, Z ) ) ] )
% 0.78/1.21 , clause( 1413, [ ~( =( divide( identity, a ), divide( identity, divide(
% 0.78/1.21 identity, divide( identity, a ) ) ) ) ) ] )
% 0.78/1.21 , clause( 1414, [ =( divide( identity, a ), b ) ] )
% 0.78/1.21 , clause( 1415, [ =( divide( identity, b ), c ) ] )
% 0.78/1.21 , clause( 1416, [ =( divide( identity, c ), d ) ] )
% 0.78/1.21 , clause( 1417, [ ~( =( b, d ) ) ] )
% 0.78/1.21 ] ).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 subsumption(
% 0.78/1.21 clause( 0, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 0.78/1.21 , clause( 1401, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 0.78/1.21 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.21 ), ==>( 1, 1 )] ) ).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 subsumption(
% 0.78/1.21 clause( 1, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 0.78/1.21 , clause( 1402, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 0.78/1.21 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.21 ), ==>( 1, 1 )] ) ).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 subsumption(
% 0.78/1.21 clause( 2, [ 'less_equal'( divide( X, Y ), X ) ] )
% 0.78/1.21 , clause( 1403, [ 'less_equal'( divide( X, Y ), X ) ] )
% 0.78/1.21 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.21 )] ) ).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 subsumption(
% 0.78/1.21 clause( 3, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), divide(
% 0.78/1.21 divide( X, Z ), Y ) ) ] )
% 0.78/1.21 , clause( 1404, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ),
% 0.78/1.21 divide( divide( X, Z ), Y ) ) ] )
% 0.78/1.21 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.78/1.21 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 subsumption(
% 0.78/1.21 clause( 4, [ 'less_equal'( zero, X ) ] )
% 0.78/1.21 , clause( 1405, [ 'less_equal'( zero, X ) ] )
% 0.78/1.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 subsumption(
% 0.78/1.21 clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y
% 0.78/1.21 ) ] )
% 0.78/1.21 , clause( 1406, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =(
% 0.78/1.21 X, Y ) ] )
% 0.78/1.21 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.21 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 subsumption(
% 0.78/1.21 clause( 6, [ 'less_equal'( X, identity ) ] )
% 0.78/1.21 , clause( 1407, [ 'less_equal'( X, identity ) ] )
% 0.78/1.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 subsumption(
% 0.78/1.21 clause( 9, [ =( divide( X, X ), zero ) ] )
% 0.78/1.21 , clause( 1410, [ =( divide( X, X ), zero ) ] )
% 0.78/1.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 subsumption(
% 0.78/1.21 clause( 10, [ ~( 'less_equal'( divide( X, Y ), Z ) ), 'less_equal'( divide(
% 0.78/1.21 X, Z ), Y ) ] )
% 0.78/1.21 , clause( 1411, [ ~( 'less_equal'( divide( X, Y ), Z ) ), 'less_equal'(
% 0.78/1.21 divide( X, Z ), Y ) ] )
% 0.78/1.21 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.78/1.21 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 subsumption(
% 0.78/1.21 clause( 11, [ ~( 'less_equal'( X, Y ) ), 'less_equal'( divide( X, Z ),
% 0.78/1.21 divide( Y, Z ) ) ] )
% 0.78/1.21 , clause( 1412, [ ~( 'less_equal'( X, Y ) ), 'less_equal'( divide( X, Z ),
% 0.78/1.21 divide( Y, Z ) ) ] )
% 0.78/1.21 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.78/1.21 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 subsumption(
% 0.78/1.21 clause( 13, [ =( divide( identity, a ), b ) ] )
% 0.78/1.21 , clause( 1414, [ =( divide( identity, a ), b ) ] )
% 0.78/1.21 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 subsumption(
% 0.78/1.21 clause( 14, [ =( divide( identity, b ), c ) ] )
% 0.78/1.21 , clause( 1415, [ =( divide( identity, b ), c ) ] )
% 0.78/1.21 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 subsumption(
% 0.78/1.21 clause( 15, [ =( divide( identity, c ), d ) ] )
% 0.78/1.21 , clause( 1416, [ =( divide( identity, c ), d ) ] )
% 0.78/1.21 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 eqswap(
% 0.78/1.21 clause( 1488, [ ~( =( d, b ) ) ] )
% 0.78/1.21 , clause( 1417, [ ~( =( b, d ) ) ] )
% 0.78/1.21 , 0, substitution( 0, [] )).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 subsumption(
% 0.78/1.21 clause( 16, [ ~( =( d, b ) ) ] )
% 0.78/1.21 , clause( 1488, [ ~( =( d, b ) ) ] )
% 0.78/1.21 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 eqswap(
% 0.78/1.21 clause( 1489, [ ~( =( zero, divide( X, Y ) ) ), 'less_equal'( X, Y ) ] )
% 0.78/1.21 , clause( 1, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 0.78/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 eqswap(
% 0.78/1.21 clause( 1490, [ =( zero, divide( X, X ) ) ] )
% 0.78/1.21 , clause( 9, [ =( divide( X, X ), zero ) ] )
% 0.78/1.21 , 0, substitution( 0, [ :=( X, X )] )).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 resolution(
% 0.78/1.21 clause( 1491, [ 'less_equal'( X, X ) ] )
% 0.78/1.21 , clause( 1489, [ ~( =( zero, divide( X, Y ) ) ), 'less_equal'( X, Y ) ] )
% 0.78/1.21 , 0, clause( 1490, [ =( zero, divide( X, X ) ) ] )
% 0.78/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [ :=( X
% 0.78/1.21 , X )] )).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 subsumption(
% 0.78/1.21 clause( 20, [ 'less_equal'( X, X ) ] )
% 0.78/1.21 , clause( 1491, [ 'less_equal'( X, X ) ] )
% 0.78/1.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 paramod(
% 0.78/1.21 clause( 1493, [ 'less_equal'( divide( b, divide( X, a ) ), divide( divide(
% 0.78/1.21 identity, X ), a ) ) ] )
% 0.78/1.21 , clause( 13, [ =( divide( identity, a ), b ) ] )
% 0.78/1.21 , 0, clause( 3, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ),
% 0.78/1.21 divide( divide( X, Z ), Y ) ) ] )
% 0.78/1.21 , 0, 2, substitution( 0, [] ), substitution( 1, [ :=( X, identity ), :=( Y
% 0.78/1.21 , a ), :=( Z, X )] )).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 subsumption(
% 0.78/1.21 clause( 27, [ 'less_equal'( divide( b, divide( X, a ) ), divide( divide(
% 0.78/1.21 identity, X ), a ) ) ] )
% 0.78/1.21 , clause( 1493, [ 'less_equal'( divide( b, divide( X, a ) ), divide( divide(
% 0.78/1.21 identity, X ), a ) ) ] )
% 0.78/1.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 eqswap(
% 0.78/1.21 clause( 1496, [ ~( =( zero, divide( X, Y ) ) ), 'less_equal'( X, Y ) ] )
% 0.78/1.21 , clause( 1, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 0.78/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 resolution(
% 0.78/1.21 clause( 1498, [ ~( 'less_equal'( X, Y ) ), =( X, Y ), ~( =( zero, divide( Y
% 0.78/1.21 , X ) ) ) ] )
% 0.78/1.21 , clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X,
% 0.78/1.21 Y ) ] )
% 0.78/1.21 , 1, clause( 1496, [ ~( =( zero, divide( X, Y ) ) ), 'less_equal'( X, Y ) ]
% 0.78/1.21 )
% 0.78/1.21 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.78/1.21 , Y ), :=( Y, X )] )).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 eqswap(
% 0.78/1.21 clause( 1499, [ ~( =( divide( X, Y ), zero ) ), ~( 'less_equal'( Y, X ) ),
% 0.78/1.21 =( Y, X ) ] )
% 0.78/1.21 , clause( 1498, [ ~( 'less_equal'( X, Y ) ), =( X, Y ), ~( =( zero, divide(
% 0.78/1.21 Y, X ) ) ) ] )
% 0.78/1.21 , 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 eqswap(
% 0.78/1.21 clause( 1500, [ =( Y, X ), ~( =( divide( Y, X ), zero ) ), ~( 'less_equal'(
% 0.78/1.21 X, Y ) ) ] )
% 0.78/1.21 , clause( 1499, [ ~( =( divide( X, Y ), zero ) ), ~( 'less_equal'( Y, X ) )
% 0.78/1.21 , =( Y, X ) ] )
% 0.78/1.21 , 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 subsumption(
% 0.78/1.21 clause( 53, [ ~( 'less_equal'( X, Y ) ), =( Y, X ), ~( =( divide( Y, X ),
% 0.78/1.21 zero ) ) ] )
% 0.78/1.21 , clause( 1500, [ =( Y, X ), ~( =( divide( Y, X ), zero ) ), ~(
% 0.78/1.21 'less_equal'( X, Y ) ) ] )
% 0.78/1.21 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.78/1.21 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 resolution(
% 0.78/1.21 clause( 1501, [ ~( 'less_equal'( X, divide( X, Y ) ) ), =( divide( X, Y ),
% 0.78/1.21 X ) ] )
% 0.78/1.21 , clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X,
% 0.78/1.21 Y ) ] )
% 0.78/1.21 , 0, clause( 2, [ 'less_equal'( divide( X, Y ), X ) ] )
% 0.78/1.21 , 0, substitution( 0, [ :=( X, divide( X, Y ) ), :=( Y, X )] ),
% 0.78/1.21 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 subsumption(
% 0.78/1.21 clause( 54, [ ~( 'less_equal'( X, divide( X, Y ) ) ), =( divide( X, Y ), X
% 0.78/1.21 ) ] )
% 0.78/1.21 , clause( 1501, [ ~( 'less_equal'( X, divide( X, Y ) ) ), =( divide( X, Y )
% 0.78/1.21 , X ) ] )
% 0.78/1.21 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.21 ), ==>( 1, 1 )] ) ).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 resolution(
% 0.78/1.21 clause( 1503, [ ~( 'less_equal'( X, zero ) ), =( zero, X ) ] )
% 0.78/1.21 , clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X,
% 0.78/1.21 Y ) ] )
% 0.78/1.21 , 0, clause( 4, [ 'less_equal'( zero, X ) ] )
% 0.78/1.21 , 0, substitution( 0, [ :=( X, zero ), :=( Y, X )] ), substitution( 1, [
% 0.78/1.21 :=( X, X )] )).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 subsumption(
% 0.78/1.21 clause( 55, [ ~( 'less_equal'( X, zero ) ), =( zero, X ) ] )
% 0.78/1.21 , clause( 1503, [ ~( 'less_equal'( X, zero ) ), =( zero, X ) ] )
% 0.78/1.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.78/1.21 1 )] ) ).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 resolution(
% 0.78/1.21 clause( 1505, [ 'less_equal'( divide( X, divide( X, Y ) ), Y ) ] )
% 0.78/1.21 , clause( 10, [ ~( 'less_equal'( divide( X, Y ), Z ) ), 'less_equal'(
% 0.78/1.21 divide( X, Z ), Y ) ] )
% 0.78/1.21 , 0, clause( 20, [ 'less_equal'( X, X ) ] )
% 0.78/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, divide( X, Y ) )] )
% 0.78/1.21 , substitution( 1, [ :=( X, divide( X, Y ) )] )).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 subsumption(
% 0.78/1.21 clause( 107, [ 'less_equal'( divide( X, divide( X, Y ) ), Y ) ] )
% 0.78/1.21 , clause( 1505, [ 'less_equal'( divide( X, divide( X, Y ) ), Y ) ] )
% 0.78/1.21 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.21 )] ) ).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 paramod(
% 0.78/1.21 clause( 1508, [ 'less_equal'( divide( X, a ), b ), ~( 'less_equal'( X,
% 0.78/1.21 identity ) ) ] )
% 0.78/1.21 , clause( 13, [ =( divide( identity, a ), b ) ] )
% 0.78/1.21 , 0, clause( 11, [ ~( 'less_equal'( X, Y ) ), 'less_equal'( divide( X, Z )
% 0.78/1.21 , divide( Y, Z ) ) ] )
% 0.78/1.21 , 1, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 0.78/1.21 identity ), :=( Z, a )] )).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 resolution(
% 0.78/1.21 clause( 1509, [ 'less_equal'( divide( X, a ), b ) ] )
% 0.78/1.21 , clause( 1508, [ 'less_equal'( divide( X, a ), b ), ~( 'less_equal'( X,
% 0.78/1.21 identity ) ) ] )
% 0.78/1.21 , 1, clause( 6, [ 'less_equal'( X, identity ) ] )
% 0.78/1.21 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.78/1.21 ).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 subsumption(
% 0.78/1.21 clause( 144, [ 'less_equal'( divide( X, a ), b ) ] )
% 0.78/1.21 , clause( 1509, [ 'less_equal'( divide( X, a ), b ) ] )
% 0.78/1.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 paramod(
% 0.78/1.21 clause( 1512, [ 'less_equal'( divide( X, b ), c ), ~( 'less_equal'( X,
% 0.78/1.21 identity ) ) ] )
% 0.78/1.21 , clause( 14, [ =( divide( identity, b ), c ) ] )
% 0.78/1.21 , 0, clause( 11, [ ~( 'less_equal'( X, Y ) ), 'less_equal'( divide( X, Z )
% 0.78/1.21 , divide( Y, Z ) ) ] )
% 0.78/1.21 , 1, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 0.78/1.21 identity ), :=( Z, b )] )).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 resolution(
% 0.78/1.21 clause( 1513, [ 'less_equal'( divide( X, b ), c ) ] )
% 0.78/1.21 , clause( 1512, [ 'less_equal'( divide( X, b ), c ), ~( 'less_equal'( X,
% 0.78/1.21 identity ) ) ] )
% 0.78/1.21 , 1, clause( 6, [ 'less_equal'( X, identity ) ] )
% 0.78/1.21 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.78/1.21 ).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 subsumption(
% 0.78/1.21 clause( 145, [ 'less_equal'( divide( X, b ), c ) ] )
% 0.78/1.21 , clause( 1513, [ 'less_equal'( divide( X, b ), c ) ] )
% 0.78/1.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 resolution(
% 0.78/1.21 clause( 1514, [ 'less_equal'( divide( X, b ), a ) ] )
% 0.78/1.21 , clause( 10, [ ~( 'less_equal'( divide( X, Y ), Z ) ), 'less_equal'(
% 0.78/1.21 divide( X, Z ), Y ) ] )
% 0.78/1.21 , 0, clause( 144, [ 'less_equal'( divide( X, a ), b ) ] )
% 0.78/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, a ), :=( Z, b )] ),
% 0.78/1.21 substitution( 1, [ :=( X, X )] )).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 subsumption(
% 0.78/1.21 clause( 149, [ 'less_equal'( divide( X, b ), a ) ] )
% 0.78/1.21 , clause( 1514, [ 'less_equal'( divide( X, b ), a ) ] )
% 0.78/1.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 eqswap(
% 0.78/1.21 clause( 1515, [ =( zero, divide( X, Y ) ), ~( 'less_equal'( X, Y ) ) ] )
% 0.78/1.21 , clause( 0, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 0.78/1.21 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 resolution(
% 0.78/1.21 clause( 1516, [ =( zero, divide( divide( X, a ), b ) ) ] )
% 0.78/1.21 , clause( 1515, [ =( zero, divide( X, Y ) ), ~( 'less_equal'( X, Y ) ) ] )
% 0.78/1.21 , 1, clause( 144, [ 'less_equal'( divide( X, a ), b ) ] )
% 0.78/1.21 , 0, substitution( 0, [ :=( X, divide( X, a ) ), :=( Y, b )] ),
% 0.78/1.21 substitution( 1, [ :=( X, X )] )).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 eqswap(
% 0.78/1.21 clause( 1517, [ =( divide( divide( X, a ), b ), zero ) ] )
% 0.78/1.21 , clause( 1516, [ =( zero, divide( divide( X, a ), b ) ) ] )
% 0.78/1.21 , 0, substitution( 0, [ :=( X, X )] )).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 subsumption(
% 0.78/1.21 clause( 151, [ =( divide( divide( X, a ), b ), zero ) ] )
% 0.78/1.21 , clause( 1517, [ =( divide( divide( X, a ), b ), zero ) ] )
% 0.78/1.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 paramod(
% 0.78/1.21 clause( 1519, [ 'less_equal'( c, a ) ] )
% 0.78/1.21 , clause( 14, [ =( divide( identity, b ), c ) ] )
% 0.78/1.21 , 0, clause( 149, [ 'less_equal'( divide( X, b ), a ) ] )
% 0.78/1.21 , 0, 1, substitution( 0, [] ), substitution( 1, [ :=( X, identity )] )).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 subsumption(
% 0.78/1.21 clause( 161, [ 'less_equal'( c, a ) ] )
% 0.78/1.21 , clause( 1519, [ 'less_equal'( c, a ) ] )
% 0.78/1.21 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 eqswap(
% 0.78/1.21 clause( 1520, [ =( zero, divide( X, Y ) ), ~( 'less_equal'( X, Y ) ) ] )
% 0.78/1.21 , clause( 0, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 0.78/1.21 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 resolution(
% 0.78/1.21 clause( 1521, [ =( zero, divide( c, a ) ) ] )
% 0.78/1.21 , clause( 1520, [ =( zero, divide( X, Y ) ), ~( 'less_equal'( X, Y ) ) ] )
% 0.78/1.21 , 1, clause( 161, [ 'less_equal'( c, a ) ] )
% 0.78/1.21 , 0, substitution( 0, [ :=( X, c ), :=( Y, a )] ), substitution( 1, [] )
% 0.78/1.21 ).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 eqswap(
% 0.78/1.21 clause( 1522, [ =( divide( c, a ), zero ) ] )
% 0.78/1.21 , clause( 1521, [ =( zero, divide( c, a ) ) ] )
% 0.78/1.21 , 0, substitution( 0, [] )).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 subsumption(
% 0.78/1.21 clause( 164, [ =( divide( c, a ), zero ) ] )
% 0.78/1.21 , clause( 1522, [ =( divide( c, a ), zero ) ] )
% 0.78/1.21 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 resolution(
% 0.78/1.21 clause( 1523, [ 'less_equal'( divide( X, c ), b ) ] )
% 0.78/1.21 , clause( 10, [ ~( 'less_equal'( divide( X, Y ), Z ) ), 'less_equal'(
% 0.78/1.21 divide( X, Z ), Y ) ] )
% 0.78/1.21 , 0, clause( 145, [ 'less_equal'( divide( X, b ), c ) ] )
% 0.78/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, b ), :=( Z, c )] ),
% 0.78/1.21 substitution( 1, [ :=( X, X )] )).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 subsumption(
% 0.78/1.21 clause( 168, [ 'less_equal'( divide( X, c ), b ) ] )
% 0.78/1.21 , clause( 1523, [ 'less_equal'( divide( X, c ), b ) ] )
% 0.78/1.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 paramod(
% 0.78/1.21 clause( 1525, [ 'less_equal'( d, b ) ] )
% 0.78/1.21 , clause( 15, [ =( divide( identity, c ), d ) ] )
% 0.78/1.21 , 0, clause( 168, [ 'less_equal'( divide( X, c ), b ) ] )
% 0.78/1.21 , 0, 1, substitution( 0, [] ), substitution( 1, [ :=( X, identity )] )).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 subsumption(
% 0.78/1.21 clause( 182, [ 'less_equal'( d, b ) ] )
% 0.78/1.21 , clause( 1525, [ 'less_equal'( d, b ) ] )
% 0.78/1.21 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 resolution(
% 0.78/1.21 clause( 1526, [ ~( 'less_equal'( b, d ) ), =( d, b ) ] )
% 0.78/1.21 , clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X,
% 0.78/1.21 Y ) ] )
% 0.78/1.21 , 0, clause( 182, [ 'less_equal'( d, b ) ] )
% 0.78/1.21 , 0, substitution( 0, [ :=( X, d ), :=( Y, b )] ), substitution( 1, [] )
% 0.78/1.21 ).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 subsumption(
% 0.78/1.21 clause( 184, [ ~( 'less_equal'( b, d ) ), =( d, b ) ] )
% 0.78/1.21 , clause( 1526, [ ~( 'less_equal'( b, d ) ), =( d, b ) ] )
% 0.78/1.21 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.78/1.21 ).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 paramod(
% 0.78/1.21 clause( 1530, [ 'less_equal'( divide( b, zero ), divide( divide( identity,
% 0.78/1.21 c ), a ) ) ] )
% 0.78/1.21 , clause( 164, [ =( divide( c, a ), zero ) ] )
% 0.78/1.21 , 0, clause( 27, [ 'less_equal'( divide( b, divide( X, a ) ), divide(
% 0.78/1.21 divide( identity, X ), a ) ) ] )
% 0.78/1.21 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, c )] )).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 paramod(
% 0.78/1.21 clause( 1531, [ 'less_equal'( divide( b, zero ), divide( d, a ) ) ] )
% 0.78/1.21 , clause( 15, [ =( divide( identity, c ), d ) ] )
% 0.78/1.21 , 0, clause( 1530, [ 'less_equal'( divide( b, zero ), divide( divide(
% 0.78/1.21 identity, c ), a ) ) ] )
% 0.78/1.21 , 0, 5, substitution( 0, [] ), substitution( 1, [] )).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 subsumption(
% 0.78/1.21 clause( 337, [ 'less_equal'( divide( b, zero ), divide( d, a ) ) ] )
% 0.78/1.21 , clause( 1531, [ 'less_equal'( divide( b, zero ), divide( d, a ) ) ] )
% 0.78/1.21 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 resolution(
% 0.78/1.21 clause( 1534, [ ~( 'less_equal'( b, d ) ) ] )
% 0.78/1.21 , clause( 16, [ ~( =( d, b ) ) ] )
% 0.78/1.21 , 0, clause( 184, [ ~( 'less_equal'( b, d ) ), =( d, b ) ] )
% 0.78/1.21 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 subsumption(
% 0.78/1.21 clause( 568, [ ~( 'less_equal'( b, d ) ) ] )
% 0.78/1.21 , clause( 1534, [ ~( 'less_equal'( b, d ) ) ] )
% 0.78/1.21 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 eqswap(
% 0.78/1.21 clause( 1535, [ =( X, zero ), ~( 'less_equal'( X, zero ) ) ] )
% 0.78/1.21 , clause( 55, [ ~( 'less_equal'( X, zero ) ), =( zero, X ) ] )
% 0.78/1.21 , 1, substitution( 0, [ :=( X, X )] )).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 resolution(
% 0.78/1.21 clause( 1536, [ =( divide( X, divide( X, zero ) ), zero ) ] )
% 0.78/1.21 , clause( 1535, [ =( X, zero ), ~( 'less_equal'( X, zero ) ) ] )
% 0.78/1.21 , 1, clause( 107, [ 'less_equal'( divide( X, divide( X, Y ) ), Y ) ] )
% 0.78/1.21 , 0, substitution( 0, [ :=( X, divide( X, divide( X, zero ) ) )] ),
% 0.78/1.21 substitution( 1, [ :=( X, X ), :=( Y, zero )] )).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 subsumption(
% 0.78/1.21 clause( 1311, [ =( divide( X, divide( X, zero ) ), zero ) ] )
% 0.78/1.21 , clause( 1536, [ =( divide( X, divide( X, zero ) ), zero ) ] )
% 0.78/1.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 eqswap(
% 0.78/1.21 clause( 1538, [ =( zero, divide( X, divide( X, zero ) ) ) ] )
% 0.78/1.21 , clause( 1311, [ =( divide( X, divide( X, zero ) ), zero ) ] )
% 0.78/1.21 , 0, substitution( 0, [ :=( X, X )] )).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 eqswap(
% 0.78/1.21 clause( 1540, [ ~( =( zero, divide( X, Y ) ) ), ~( 'less_equal'( Y, X ) ),
% 0.78/1.21 =( X, Y ) ] )
% 0.78/1.21 , clause( 53, [ ~( 'less_equal'( X, Y ) ), =( Y, X ), ~( =( divide( Y, X )
% 0.78/1.21 , zero ) ) ] )
% 0.78/1.21 , 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 eqswap(
% 0.78/1.21 clause( 1541, [ =( Y, X ), ~( =( zero, divide( X, Y ) ) ), ~( 'less_equal'(
% 0.78/1.21 Y, X ) ) ] )
% 0.78/1.21 , clause( 1540, [ ~( =( zero, divide( X, Y ) ) ), ~( 'less_equal'( Y, X ) )
% 0.78/1.21 , =( X, Y ) ] )
% 0.78/1.21 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 resolution(
% 0.78/1.21 clause( 1542, [ =( divide( X, zero ), X ), ~( 'less_equal'( divide( X, zero
% 0.78/1.21 ), X ) ) ] )
% 0.78/1.21 , clause( 1541, [ =( Y, X ), ~( =( zero, divide( X, Y ) ) ), ~(
% 0.78/1.21 'less_equal'( Y, X ) ) ] )
% 0.78/1.21 , 1, clause( 1538, [ =( zero, divide( X, divide( X, zero ) ) ) ] )
% 0.78/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, divide( X, zero ) )] ),
% 0.78/1.21 substitution( 1, [ :=( X, X )] )).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 resolution(
% 0.78/1.21 clause( 1543, [ =( divide( X, zero ), X ) ] )
% 0.78/1.21 , clause( 1542, [ =( divide( X, zero ), X ), ~( 'less_equal'( divide( X,
% 0.78/1.21 zero ), X ) ) ] )
% 0.78/1.21 , 1, clause( 2, [ 'less_equal'( divide( X, Y ), X ) ] )
% 0.78/1.21 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.78/1.21 , zero )] )).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 subsumption(
% 0.78/1.21 clause( 1358, [ =( divide( X, zero ), X ) ] )
% 0.78/1.21 , clause( 1543, [ =( divide( X, zero ), X ) ] )
% 0.78/1.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.21
% 0.78/1.21
% 0.78/1.21 paramod(
% 0.78/1.21 clause( 1546, [ 'less_equal'( b, divide( d, a ) ) ] )
% 0.78/1.22 , clause( 1358, [ =( divide( X, zero ), X ) ] )
% 0.78/1.22 , 0, clause( 337, [ 'less_equal'( divide( b, zero ), divide( d, a ) ) ] )
% 0.78/1.22 , 0, 1, substitution( 0, [ :=( X, b )] ), substitution( 1, [] )).
% 0.78/1.22
% 0.78/1.22
% 0.78/1.22 subsumption(
% 0.78/1.22 clause( 1366, [ 'less_equal'( b, divide( d, a ) ) ] )
% 0.78/1.22 , clause( 1546, [ 'less_equal'( b, divide( d, a ) ) ] )
% 0.78/1.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.22
% 0.78/1.22
% 0.78/1.22 eqswap(
% 0.78/1.22 clause( 1547, [ =( Y, X ), ~( 'less_equal'( Y, X ) ), ~( =( divide( X, Y )
% 0.78/1.22 , zero ) ) ] )
% 0.78/1.22 , clause( 53, [ ~( 'less_equal'( X, Y ) ), =( Y, X ), ~( =( divide( Y, X )
% 0.78/1.22 , zero ) ) ] )
% 0.78/1.22 , 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.78/1.22
% 0.78/1.22
% 0.78/1.22 resolution(
% 0.78/1.22 clause( 1551, [ =( b, divide( d, a ) ), ~( =( divide( divide( d, a ), b ),
% 0.78/1.22 zero ) ) ] )
% 0.78/1.22 , clause( 1547, [ =( Y, X ), ~( 'less_equal'( Y, X ) ), ~( =( divide( X, Y
% 0.78/1.22 ), zero ) ) ] )
% 0.78/1.22 , 1, clause( 1366, [ 'less_equal'( b, divide( d, a ) ) ] )
% 0.78/1.22 , 0, substitution( 0, [ :=( X, divide( d, a ) ), :=( Y, b )] ),
% 0.78/1.22 substitution( 1, [] )).
% 0.78/1.22
% 0.78/1.22
% 0.78/1.22 paramod(
% 0.78/1.22 clause( 1552, [ ~( =( zero, zero ) ), =( b, divide( d, a ) ) ] )
% 0.78/1.22 , clause( 151, [ =( divide( divide( X, a ), b ), zero ) ] )
% 0.78/1.22 , 0, clause( 1551, [ =( b, divide( d, a ) ), ~( =( divide( divide( d, a ),
% 0.78/1.22 b ), zero ) ) ] )
% 0.78/1.22 , 1, 2, substitution( 0, [ :=( X, d )] ), substitution( 1, [] )).
% 0.78/1.22
% 0.78/1.22
% 0.78/1.22 eqrefl(
% 0.78/1.22 clause( 1553, [ =( b, divide( d, a ) ) ] )
% 0.78/1.22 , clause( 1552, [ ~( =( zero, zero ) ), =( b, divide( d, a ) ) ] )
% 0.78/1.22 , 0, substitution( 0, [] )).
% 0.78/1.22
% 0.78/1.22
% 0.78/1.22 eqswap(
% 0.78/1.22 clause( 1554, [ =( divide( d, a ), b ) ] )
% 0.78/1.22 , clause( 1553, [ =( b, divide( d, a ) ) ] )
% 0.78/1.22 , 0, substitution( 0, [] )).
% 0.78/1.22
% 0.78/1.22
% 0.78/1.22 subsumption(
% 0.78/1.22 clause( 1391, [ =( divide( d, a ), b ) ] )
% 0.78/1.22 , clause( 1554, [ =( divide( d, a ), b ) ] )
% 0.78/1.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.22
% 0.78/1.22
% 0.78/1.22 paramod(
% 0.78/1.22 clause( 1557, [ 'less_equal'( b, d ), ~( 'less_equal'( d, divide( d, a ) )
% 0.78/1.22 ) ] )
% 0.78/1.22 , clause( 54, [ ~( 'less_equal'( X, divide( X, Y ) ) ), =( divide( X, Y ),
% 0.78/1.22 X ) ] )
% 0.78/1.22 , 1, clause( 1366, [ 'less_equal'( b, divide( d, a ) ) ] )
% 0.78/1.22 , 0, 2, substitution( 0, [ :=( X, d ), :=( Y, a )] ), substitution( 1, [] )
% 0.78/1.22 ).
% 0.78/1.22
% 0.78/1.22
% 0.78/1.22 paramod(
% 0.78/1.22 clause( 1568, [ ~( 'less_equal'( d, b ) ), 'less_equal'( b, d ) ] )
% 0.78/1.22 , clause( 1391, [ =( divide( d, a ), b ) ] )
% 0.78/1.22 , 0, clause( 1557, [ 'less_equal'( b, d ), ~( 'less_equal'( d, divide( d, a
% 0.78/1.22 ) ) ) ] )
% 0.78/1.22 , 1, 3, substitution( 0, [] ), substitution( 1, [] )).
% 0.78/1.22
% 0.78/1.22
% 0.78/1.22 resolution(
% 0.78/1.22 clause( 1569, [ ~( 'less_equal'( d, b ) ) ] )
% 0.78/1.22 , clause( 568, [ ~( 'less_equal'( b, d ) ) ] )
% 0.78/1.22 , 0, clause( 1568, [ ~( 'less_equal'( d, b ) ), 'less_equal'( b, d ) ] )
% 0.78/1.22 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.78/1.22
% 0.78/1.22
% 0.78/1.22 subsumption(
% 0.78/1.22 clause( 1392, [ ~( 'less_equal'( d, b ) ) ] )
% 0.78/1.22 , clause( 1569, [ ~( 'less_equal'( d, b ) ) ] )
% 0.78/1.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.22
% 0.78/1.22
% 0.78/1.22 resolution(
% 0.78/1.22 clause( 1570, [] )
% 0.78/1.22 , clause( 1392, [ ~( 'less_equal'( d, b ) ) ] )
% 0.78/1.22 , 0, clause( 182, [ 'less_equal'( d, b ) ] )
% 0.78/1.22 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.78/1.22
% 0.78/1.22
% 0.78/1.22 subsumption(
% 0.78/1.22 clause( 1399, [] )
% 0.78/1.22 , clause( 1570, [] )
% 0.78/1.22 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.78/1.22
% 0.78/1.22
% 0.78/1.22 end.
% 0.78/1.22
% 0.78/1.22 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.78/1.22
% 0.78/1.22 Memory use:
% 0.78/1.22
% 0.78/1.22 space for terms: 17560
% 0.78/1.22 space for clauses: 76423
% 0.78/1.22
% 0.78/1.22
% 0.78/1.22 clauses generated: 7482
% 0.78/1.22 clauses kept: 1400
% 0.78/1.22 clauses selected: 163
% 0.78/1.22 clauses deleted: 68
% 0.78/1.22 clauses inuse deleted: 23
% 0.78/1.22
% 0.78/1.22 subsentry: 12250
% 0.78/1.22 literals s-matched: 8455
% 0.78/1.22 literals matched: 8454
% 0.78/1.22 full subsumption: 881
% 0.78/1.22
% 0.78/1.22 checksum: 1121226139
% 0.78/1.22
% 0.78/1.22
% 0.78/1.22 Bliksem ended
%------------------------------------------------------------------------------