TSTP Solution File: HEN009-3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : HEN009-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.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 12:47:09 EDT 2022
% Result : Unsatisfiable 2.24s 2.63s
% Output : Refutation 2.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : HEN009-3 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Fri Jul 1 13:43:28 EDT 2022
% 0.13/0.34 % CPUTime :
% 2.24/2.63 *** allocated 10000 integers for termspace/termends
% 2.24/2.63 *** allocated 10000 integers for clauses
% 2.24/2.63 *** allocated 10000 integers for justifications
% 2.24/2.63 Bliksem 1.12
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 Automatic Strategy Selection
% 2.24/2.63
% 2.24/2.63 Clauses:
% 2.24/2.63 [
% 2.24/2.63 [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ],
% 2.24/2.63 [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ],
% 2.24/2.63 [ 'less_equal'( divide( X, Y ), X ) ],
% 2.24/2.63 [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), divide( divide(
% 2.24/2.63 X, Z ), Y ) ) ],
% 2.24/2.63 [ 'less_equal'( zero, X ) ],
% 2.24/2.63 [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y ) ],
% 2.24/2.63 [ 'less_equal'( X, identity ) ],
% 2.24/2.63 [ ~( =( divide( identity, a ), divide( identity, divide( identity,
% 2.24/2.63 divide( identity, a ) ) ) ) ) ],
% 2.24/2.63 [ =( divide( identity, a ), b ) ],
% 2.24/2.63 [ =( divide( identity, b ), c ) ],
% 2.24/2.63 [ =( divide( identity, c ), d ) ],
% 2.24/2.63 [ ~( =( b, d ) ) ]
% 2.24/2.63 ] .
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 percentage equality = 0.500000, percentage horn = 1.000000
% 2.24/2.63 This is a problem with some equality
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 Options Used:
% 2.24/2.63
% 2.24/2.63 useres = 1
% 2.24/2.63 useparamod = 1
% 2.24/2.63 useeqrefl = 1
% 2.24/2.63 useeqfact = 1
% 2.24/2.63 usefactor = 1
% 2.24/2.63 usesimpsplitting = 0
% 2.24/2.63 usesimpdemod = 5
% 2.24/2.63 usesimpres = 3
% 2.24/2.63
% 2.24/2.63 resimpinuse = 1000
% 2.24/2.63 resimpclauses = 20000
% 2.24/2.63 substype = eqrewr
% 2.24/2.63 backwardsubs = 1
% 2.24/2.63 selectoldest = 5
% 2.24/2.63
% 2.24/2.63 litorderings [0] = split
% 2.24/2.63 litorderings [1] = extend the termordering, first sorting on arguments
% 2.24/2.63
% 2.24/2.63 termordering = kbo
% 2.24/2.63
% 2.24/2.63 litapriori = 0
% 2.24/2.63 termapriori = 1
% 2.24/2.63 litaposteriori = 0
% 2.24/2.63 termaposteriori = 0
% 2.24/2.63 demodaposteriori = 0
% 2.24/2.63 ordereqreflfact = 0
% 2.24/2.63
% 2.24/2.63 litselect = negord
% 2.24/2.63
% 2.24/2.63 maxweight = 15
% 2.24/2.63 maxdepth = 30000
% 2.24/2.63 maxlength = 115
% 2.24/2.63 maxnrvars = 195
% 2.24/2.63 excuselevel = 1
% 2.24/2.63 increasemaxweight = 1
% 2.24/2.63
% 2.24/2.63 maxselected = 10000000
% 2.24/2.63 maxnrclauses = 10000000
% 2.24/2.63
% 2.24/2.63 showgenerated = 0
% 2.24/2.63 showkept = 0
% 2.24/2.63 showselected = 0
% 2.24/2.63 showdeleted = 0
% 2.24/2.63 showresimp = 1
% 2.24/2.63 showstatus = 2000
% 2.24/2.63
% 2.24/2.63 prologoutput = 1
% 2.24/2.63 nrgoals = 5000000
% 2.24/2.63 totalproof = 1
% 2.24/2.63
% 2.24/2.63 Symbols occurring in the translation:
% 2.24/2.63
% 2.24/2.63 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.24/2.63 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 2.24/2.63 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 2.24/2.63 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.24/2.63 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.24/2.63 'less_equal' [41, 2] (w:1, o:48, a:1, s:1, b:0),
% 2.24/2.63 divide [42, 2] (w:1, o:49, a:1, s:1, b:0),
% 2.24/2.63 zero [43, 0] (w:1, o:11, a:1, s:1, b:0),
% 2.24/2.63 identity [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 2.24/2.63 a [46, 0] (w:1, o:14, a:1, s:1, b:0),
% 2.24/2.63 b [47, 0] (w:1, o:15, a:1, s:1, b:0),
% 2.24/2.63 c [48, 0] (w:1, o:16, a:1, s:1, b:0),
% 2.24/2.63 d [49, 0] (w:1, o:17, a:1, s:1, b:0).
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 Starting Search:
% 2.24/2.63
% 2.24/2.63 Resimplifying inuse:
% 2.24/2.63 Done
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 Intermediate Status:
% 2.24/2.63 Generated: 13251
% 2.24/2.63 Kept: 2003
% 2.24/2.63 Inuse: 240
% 2.24/2.63 Deleted: 88
% 2.24/2.63 Deletedinuse: 60
% 2.24/2.63
% 2.24/2.63 Resimplifying inuse:
% 2.24/2.63 Done
% 2.24/2.63
% 2.24/2.63 Resimplifying inuse:
% 2.24/2.63 Done
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 Intermediate Status:
% 2.24/2.63 Generated: 36323
% 2.24/2.63 Kept: 4015
% 2.24/2.63 Inuse: 372
% 2.24/2.63 Deleted: 132
% 2.24/2.63 Deletedinuse: 88
% 2.24/2.63
% 2.24/2.63 Resimplifying inuse:
% 2.24/2.63 Done
% 2.24/2.63
% 2.24/2.63 Resimplifying inuse:
% 2.24/2.63 Done
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 Intermediate Status:
% 2.24/2.63 Generated: 72932
% 2.24/2.63 Kept: 6028
% 2.24/2.63 Inuse: 522
% 2.24/2.63 Deleted: 313
% 2.24/2.63 Deletedinuse: 92
% 2.24/2.63
% 2.24/2.63 Resimplifying inuse:
% 2.24/2.63 Done
% 2.24/2.63
% 2.24/2.63 Resimplifying inuse:
% 2.24/2.63 Done
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 Bliksems!, er is een bewijs:
% 2.24/2.63 % SZS status Unsatisfiable
% 2.24/2.63 % SZS output start Refutation
% 2.24/2.63
% 2.24/2.63 clause( 0, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 1, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 2, [ 'less_equal'( divide( X, Y ), X ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 3, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), divide(
% 2.24/2.63 divide( X, Z ), Y ) ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 4, [ 'less_equal'( zero, X ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y
% 2.24/2.63 ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 6, [ 'less_equal'( X, identity ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 8, [ =( divide( identity, a ), b ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 9, [ =( divide( identity, b ), c ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 10, [ =( divide( identity, c ), d ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 11, [ ~( =( d, b ) ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 12, [ =( divide( divide( X, Y ), X ), zero ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 13, [ =( divide( zero, X ), zero ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 14, [ =( divide( X, identity ), zero ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 24, [ 'less_equal'( divide( b, divide( X, a ) ), divide( divide(
% 2.24/2.63 identity, X ), a ) ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 25, [ 'less_equal'( divide( divide( X, a ), b ), zero ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 26, [ 'less_equal'( divide( divide( identity, X ), divide( a, X ) )
% 2.24/2.63 , divide( b, X ) ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 27, [ 'less_equal'( divide( c, divide( X, b ) ), divide( divide(
% 2.24/2.63 identity, X ), b ) ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 28, [ 'less_equal'( divide( divide( X, b ), c ), zero ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 29, [ 'less_equal'( divide( divide( identity, X ), divide( b, X ) )
% 2.24/2.63 , divide( c, X ) ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 31, [ 'less_equal'( divide( divide( Y, X ), zero ), divide( divide(
% 2.24/2.63 Y, zero ), X ) ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 36, [ 'less_equal'( divide( divide( X, c ), d ), zero ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 37, [ 'less_equal'( divide( divide( identity, X ), divide( c, X ) )
% 2.24/2.63 , divide( d, X ) ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 52, [ ~( 'less_equal'( X, Y ) ), =( Y, X ), ~( =( divide( Y, X ),
% 2.24/2.63 zero ) ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 54, [ ~( 'less_equal'( X, zero ) ), =( zero, X ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 64, [ 'less_equal'( divide( Z, divide( T, Y ) ), divide( divide( X
% 2.24/2.63 , T ), Y ) ), ~( 'less_equal'( divide( X, Y ), Z ) ), ~( 'less_equal'( Z
% 2.24/2.63 , divide( X, Y ) ) ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 72, [ ~( =( Z, zero ) ), 'less_equal'( X, Y ), ~( 'less_equal'(
% 2.24/2.63 divide( X, Y ), Z ) ), ~( 'less_equal'( Z, divide( X, Y ) ) ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 81, [ 'less_equal'( Z, X ), ~( 'less_equal'( divide( X, Y ), Z ) )
% 2.24/2.63 , ~( 'less_equal'( Z, divide( X, Y ) ) ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 82, [ ~( =( X, b ) ), ~( 'less_equal'( d, X ) ), ~( 'less_equal'( X
% 2.24/2.63 , d ) ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 83, [ 'less_equal'( X, Y ), ~( 'less_equal'( X, zero ) ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 86, [ 'less_equal'( X, Y ), ~( 'less_equal'( divide( X, Y ), zero )
% 2.24/2.63 ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 95, [ 'less_equal'( X, Y ), ~( =( divide( X, zero ), zero ) ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 236, [ 'less_equal'( divide( b, b ), zero ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 243, [ =( divide( b, b ), zero ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 256, [ =( divide( divide( X, a ), b ), zero ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 277, [ 'less_equal'( divide( c, divide( a, b ) ), zero ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 316, [ 'less_equal'( divide( c, c ), zero ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 321, [ =( divide( c, c ), zero ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 335, [ =( divide( divide( X, b ), c ), zero ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 352, [ 'less_equal'( divide( d, divide( b, c ) ), zero ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 395, [ 'less_equal'( divide( divide( X, X ), zero ), zero ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 466, [ =( divide( divide( X, X ), zero ), zero ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 507, [ 'less_equal'( divide( X, X ), zero ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 516, [ =( divide( X, X ), zero ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 520, [ =( divide( divide( X, c ), d ), zero ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 528, [ 'less_equal'( X, X ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 549, [ 'less_equal'( divide( X, c ), d ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 584, [ 'less_equal'( divide( X, b ), c ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 611, [ 'less_equal'( divide( X, a ), b ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 637, [ =( divide( d, divide( b, c ) ), zero ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 648, [ 'less_equal'( d, divide( b, c ) ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 689, [ =( divide( b, c ), d ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 709, [ 'less_equal'( d, b ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 1220, [ =( divide( c, divide( a, b ) ), zero ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 1368, [ =( divide( a, b ), c ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 1388, [ =( divide( c, a ), zero ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 1409, [ 'less_equal'( divide( b, zero ), divide( d, a ) ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 1569, [ =( divide( divide( b, zero ), divide( d, a ) ), zero ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 2188, [ 'less_equal'( b, X ), ~( 'less_equal'( b, divide( X, a ) )
% 2.24/2.63 ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 2199, [ 'less_equal'( X, Y ), ~( 'less_equal'( divide( X, zero ),
% 2.24/2.63 zero ) ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 2231, [ ~( 'less_equal'( divide( X, zero ), zero ) ), =( zero, X )
% 2.24/2.63 ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 2635, [ ~( 'less_equal'( b, divide( d, a ) ) ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 2658, [ ~( 'less_equal'( divide( b, divide( d, a ) ), zero ) ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 2698, [ ~( 'less_equal'( divide( b, divide( d, a ) ), X ) ), ~(
% 2.24/2.63 'less_equal'( divide( X, zero ), zero ) ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 7805, [ ~( 'less_equal'( divide( b, divide( d, a ) ), X ) ), ~(
% 2.24/2.63 'less_equal'( X, divide( b, divide( d, a ) ) ) ) ] )
% 2.24/2.63 .
% 2.24/2.63 clause( 7813, [] )
% 2.24/2.63 .
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 % SZS output end Refutation
% 2.24/2.63 found a proof!
% 2.24/2.63
% 2.24/2.63 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.24/2.63
% 2.24/2.63 initialclauses(
% 2.24/2.63 [ clause( 7815, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 2.24/2.63 , clause( 7816, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 2.24/2.63 , clause( 7817, [ 'less_equal'( divide( X, Y ), X ) ] )
% 2.24/2.63 , clause( 7818, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ),
% 2.24/2.63 divide( divide( X, Z ), Y ) ) ] )
% 2.24/2.63 , clause( 7819, [ 'less_equal'( zero, X ) ] )
% 2.24/2.63 , clause( 7820, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =(
% 2.24/2.63 X, Y ) ] )
% 2.24/2.63 , clause( 7821, [ 'less_equal'( X, identity ) ] )
% 2.24/2.63 , clause( 7822, [ ~( =( divide( identity, a ), divide( identity, divide(
% 2.24/2.63 identity, divide( identity, a ) ) ) ) ) ] )
% 2.24/2.63 , clause( 7823, [ =( divide( identity, a ), b ) ] )
% 2.24/2.63 , clause( 7824, [ =( divide( identity, b ), c ) ] )
% 2.24/2.63 , clause( 7825, [ =( divide( identity, c ), d ) ] )
% 2.24/2.63 , clause( 7826, [ ~( =( b, d ) ) ] )
% 2.24/2.63 ] ).
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 subsumption(
% 2.24/2.63 clause( 0, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 2.24/2.63 , clause( 7815, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 2.24/2.63 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.24/2.63 ), ==>( 1, 1 )] ) ).
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 subsumption(
% 2.24/2.63 clause( 1, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 2.24/2.63 , clause( 7816, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 2.24/2.63 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.24/2.63 ), ==>( 1, 1 )] ) ).
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 subsumption(
% 2.24/2.63 clause( 2, [ 'less_equal'( divide( X, Y ), X ) ] )
% 2.24/2.63 , clause( 7817, [ 'less_equal'( divide( X, Y ), X ) ] )
% 2.24/2.63 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.24/2.63 )] ) ).
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 subsumption(
% 2.24/2.63 clause( 3, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), divide(
% 2.24/2.63 divide( X, Z ), Y ) ) ] )
% 2.24/2.63 , clause( 7818, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ),
% 2.24/2.63 divide( divide( X, Z ), Y ) ) ] )
% 2.24/2.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.24/2.63 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 subsumption(
% 2.24/2.63 clause( 4, [ 'less_equal'( zero, X ) ] )
% 2.24/2.63 , clause( 7819, [ 'less_equal'( zero, X ) ] )
% 2.24/2.63 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 subsumption(
% 2.24/2.63 clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y
% 2.24/2.63 ) ] )
% 2.24/2.63 , clause( 7820, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =(
% 2.24/2.63 X, Y ) ] )
% 2.24/2.63 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.24/2.63 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 subsumption(
% 2.24/2.63 clause( 6, [ 'less_equal'( X, identity ) ] )
% 2.24/2.63 , clause( 7821, [ 'less_equal'( X, identity ) ] )
% 2.24/2.63 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 subsumption(
% 2.24/2.63 clause( 8, [ =( divide( identity, a ), b ) ] )
% 2.24/2.63 , clause( 7823, [ =( divide( identity, a ), b ) ] )
% 2.24/2.63 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 subsumption(
% 2.24/2.63 clause( 9, [ =( divide( identity, b ), c ) ] )
% 2.24/2.63 , clause( 7824, [ =( divide( identity, b ), c ) ] )
% 2.24/2.63 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 subsumption(
% 2.24/2.63 clause( 10, [ =( divide( identity, c ), d ) ] )
% 2.24/2.63 , clause( 7825, [ =( divide( identity, c ), d ) ] )
% 2.24/2.63 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 eqswap(
% 2.24/2.63 clause( 7867, [ ~( =( d, b ) ) ] )
% 2.24/2.63 , clause( 7826, [ ~( =( b, d ) ) ] )
% 2.24/2.63 , 0, substitution( 0, [] )).
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 subsumption(
% 2.24/2.63 clause( 11, [ ~( =( d, b ) ) ] )
% 2.24/2.63 , clause( 7867, [ ~( =( d, b ) ) ] )
% 2.24/2.63 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 eqswap(
% 2.24/2.63 clause( 7868, [ =( zero, divide( X, Y ) ), ~( 'less_equal'( X, Y ) ) ] )
% 2.24/2.63 , clause( 0, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 2.24/2.63 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 resolution(
% 2.24/2.63 clause( 7869, [ =( zero, divide( divide( X, Y ), X ) ) ] )
% 2.24/2.63 , clause( 7868, [ =( zero, divide( X, Y ) ), ~( 'less_equal'( X, Y ) ) ] )
% 2.24/2.63 , 1, clause( 2, [ 'less_equal'( divide( X, Y ), X ) ] )
% 2.24/2.63 , 0, substitution( 0, [ :=( X, divide( X, Y ) ), :=( Y, X )] ),
% 2.24/2.63 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 eqswap(
% 2.24/2.63 clause( 7870, [ =( divide( divide( X, Y ), X ), zero ) ] )
% 2.24/2.63 , clause( 7869, [ =( zero, divide( divide( X, Y ), X ) ) ] )
% 2.24/2.63 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 subsumption(
% 2.24/2.63 clause( 12, [ =( divide( divide( X, Y ), X ), zero ) ] )
% 2.24/2.63 , clause( 7870, [ =( divide( divide( X, Y ), X ), zero ) ] )
% 2.24/2.63 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.24/2.63 )] ) ).
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 eqswap(
% 2.24/2.63 clause( 7871, [ =( zero, divide( X, Y ) ), ~( 'less_equal'( X, Y ) ) ] )
% 2.24/2.63 , clause( 0, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 2.24/2.63 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 resolution(
% 2.24/2.63 clause( 7872, [ =( zero, divide( zero, X ) ) ] )
% 2.24/2.63 , clause( 7871, [ =( zero, divide( X, Y ) ), ~( 'less_equal'( X, Y ) ) ] )
% 2.24/2.63 , 1, clause( 4, [ 'less_equal'( zero, X ) ] )
% 2.24/2.63 , 0, substitution( 0, [ :=( X, zero ), :=( Y, X )] ), substitution( 1, [
% 2.24/2.63 :=( X, X )] )).
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 eqswap(
% 2.24/2.63 clause( 7873, [ =( divide( zero, X ), zero ) ] )
% 2.24/2.63 , clause( 7872, [ =( zero, divide( zero, X ) ) ] )
% 2.24/2.63 , 0, substitution( 0, [ :=( X, X )] )).
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 subsumption(
% 2.24/2.63 clause( 13, [ =( divide( zero, X ), zero ) ] )
% 2.24/2.63 , clause( 7873, [ =( divide( zero, X ), zero ) ] )
% 2.24/2.63 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 eqswap(
% 2.24/2.63 clause( 7874, [ =( zero, divide( X, Y ) ), ~( 'less_equal'( X, Y ) ) ] )
% 2.24/2.63 , clause( 0, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 2.24/2.63 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 resolution(
% 2.24/2.63 clause( 7875, [ =( zero, divide( X, identity ) ) ] )
% 2.24/2.63 , clause( 7874, [ =( zero, divide( X, Y ) ), ~( 'less_equal'( X, Y ) ) ] )
% 2.24/2.63 , 1, clause( 6, [ 'less_equal'( X, identity ) ] )
% 2.24/2.63 , 0, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution( 1
% 2.24/2.63 , [ :=( X, X )] )).
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 eqswap(
% 2.24/2.63 clause( 7876, [ =( divide( X, identity ), zero ) ] )
% 2.24/2.63 , clause( 7875, [ =( zero, divide( X, identity ) ) ] )
% 2.24/2.63 , 0, substitution( 0, [ :=( X, X )] )).
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 subsumption(
% 2.24/2.63 clause( 14, [ =( divide( X, identity ), zero ) ] )
% 2.24/2.63 , clause( 7876, [ =( divide( X, identity ), zero ) ] )
% 2.24/2.63 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 paramod(
% 2.24/2.63 clause( 7878, [ 'less_equal'( divide( b, divide( X, a ) ), divide( divide(
% 2.24/2.63 identity, X ), a ) ) ] )
% 2.24/2.63 , clause( 8, [ =( divide( identity, a ), b ) ] )
% 2.24/2.63 , 0, clause( 3, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ),
% 2.24/2.63 divide( divide( X, Z ), Y ) ) ] )
% 2.24/2.63 , 0, 2, substitution( 0, [] ), substitution( 1, [ :=( X, identity ), :=( Y
% 2.24/2.63 , a ), :=( Z, X )] )).
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 subsumption(
% 2.24/2.63 clause( 24, [ 'less_equal'( divide( b, divide( X, a ) ), divide( divide(
% 2.24/2.63 identity, X ), a ) ) ] )
% 2.24/2.63 , clause( 7878, [ 'less_equal'( divide( b, divide( X, a ) ), divide( divide(
% 2.24/2.63 identity, X ), a ) ) ] )
% 2.24/2.63 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 paramod(
% 2.24/2.63 clause( 7885, [ 'less_equal'( divide( divide( X, a ), b ), divide( divide(
% 2.24/2.63 X, identity ), a ) ) ] )
% 2.24/2.63 , clause( 8, [ =( divide( identity, a ), b ) ] )
% 2.24/2.63 , 0, clause( 3, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ),
% 2.24/2.63 divide( divide( X, Z ), Y ) ) ] )
% 2.24/2.63 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, a ),
% 2.24/2.63 :=( Z, identity )] )).
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 paramod(
% 2.24/2.63 clause( 7887, [ 'less_equal'( divide( divide( X, a ), b ), divide( zero, a
% 2.24/2.63 ) ) ] )
% 2.24/2.63 , clause( 14, [ =( divide( X, identity ), zero ) ] )
% 2.24/2.63 , 0, clause( 7885, [ 'less_equal'( divide( divide( X, a ), b ), divide(
% 2.24/2.63 divide( X, identity ), a ) ) ] )
% 2.24/2.63 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.24/2.63 ).
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 paramod(
% 2.24/2.63 clause( 7888, [ 'less_equal'( divide( divide( X, a ), b ), zero ) ] )
% 2.24/2.63 , clause( 13, [ =( divide( zero, X ), zero ) ] )
% 2.24/2.63 , 0, clause( 7887, [ 'less_equal'( divide( divide( X, a ), b ), divide(
% 2.24/2.63 zero, a ) ) ] )
% 2.24/2.63 , 0, 6, substitution( 0, [ :=( X, a )] ), substitution( 1, [ :=( X, X )] )
% 2.24/2.63 ).
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 subsumption(
% 2.24/2.63 clause( 25, [ 'less_equal'( divide( divide( X, a ), b ), zero ) ] )
% 2.24/2.63 , clause( 7888, [ 'less_equal'( divide( divide( X, a ), b ), zero ) ] )
% 2.24/2.63 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 paramod(
% 2.24/2.63 clause( 7892, [ 'less_equal'( divide( divide( identity, X ), divide( a, X )
% 2.24/2.63 ), divide( b, X ) ) ] )
% 2.24/2.63 , clause( 8, [ =( divide( identity, a ), b ) ] )
% 2.24/2.63 , 0, clause( 3, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ),
% 2.24/2.63 divide( divide( X, Z ), Y ) ) ] )
% 2.24/2.63 , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X, identity ), :=( Y
% 2.24/2.63 , X ), :=( Z, a )] )).
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 subsumption(
% 2.24/2.63 clause( 26, [ 'less_equal'( divide( divide( identity, X ), divide( a, X ) )
% 2.24/2.63 , divide( b, X ) ) ] )
% 2.24/2.63 , clause( 7892, [ 'less_equal'( divide( divide( identity, X ), divide( a, X
% 2.24/2.63 ) ), divide( b, X ) ) ] )
% 2.24/2.63 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 paramod(
% 2.24/2.63 clause( 7894, [ 'less_equal'( divide( c, divide( X, b ) ), divide( divide(
% 2.24/2.63 identity, X ), b ) ) ] )
% 2.24/2.63 , clause( 9, [ =( divide( identity, b ), c ) ] )
% 2.24/2.63 , 0, clause( 3, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ),
% 2.24/2.63 divide( divide( X, Z ), Y ) ) ] )
% 2.24/2.63 , 0, 2, substitution( 0, [] ), substitution( 1, [ :=( X, identity ), :=( Y
% 2.24/2.63 , b ), :=( Z, X )] )).
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 subsumption(
% 2.24/2.63 clause( 27, [ 'less_equal'( divide( c, divide( X, b ) ), divide( divide(
% 2.24/2.63 identity, X ), b ) ) ] )
% 2.24/2.63 , clause( 7894, [ 'less_equal'( divide( c, divide( X, b ) ), divide( divide(
% 2.24/2.63 identity, X ), b ) ) ] )
% 2.24/2.63 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 paramod(
% 2.24/2.63 clause( 7901, [ 'less_equal'( divide( divide( X, b ), c ), divide( divide(
% 2.24/2.63 X, identity ), b ) ) ] )
% 2.24/2.63 , clause( 9, [ =( divide( identity, b ), c ) ] )
% 2.24/2.63 , 0, clause( 3, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ),
% 2.24/2.63 divide( divide( X, Z ), Y ) ) ] )
% 2.24/2.63 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, b ),
% 2.24/2.63 :=( Z, identity )] )).
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 paramod(
% 2.24/2.63 clause( 7903, [ 'less_equal'( divide( divide( X, b ), c ), divide( zero, b
% 2.24/2.63 ) ) ] )
% 2.24/2.63 , clause( 14, [ =( divide( X, identity ), zero ) ] )
% 2.24/2.63 , 0, clause( 7901, [ 'less_equal'( divide( divide( X, b ), c ), divide(
% 2.24/2.63 divide( X, identity ), b ) ) ] )
% 2.24/2.63 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.24/2.63 ).
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 paramod(
% 2.24/2.63 clause( 7904, [ 'less_equal'( divide( divide( X, b ), c ), zero ) ] )
% 2.24/2.63 , clause( 13, [ =( divide( zero, X ), zero ) ] )
% 2.24/2.63 , 0, clause( 7903, [ 'less_equal'( divide( divide( X, b ), c ), divide(
% 2.24/2.63 zero, b ) ) ] )
% 2.24/2.63 , 0, 6, substitution( 0, [ :=( X, b )] ), substitution( 1, [ :=( X, X )] )
% 2.24/2.63 ).
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 subsumption(
% 2.24/2.63 clause( 28, [ 'less_equal'( divide( divide( X, b ), c ), zero ) ] )
% 2.24/2.63 , clause( 7904, [ 'less_equal'( divide( divide( X, b ), c ), zero ) ] )
% 2.24/2.63 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 paramod(
% 2.24/2.63 clause( 7908, [ 'less_equal'( divide( divide( identity, X ), divide( b, X )
% 2.24/2.63 ), divide( c, X ) ) ] )
% 2.24/2.63 , clause( 9, [ =( divide( identity, b ), c ) ] )
% 2.24/2.63 , 0, clause( 3, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ),
% 2.24/2.63 divide( divide( X, Z ), Y ) ) ] )
% 2.24/2.63 , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X, identity ), :=( Y
% 2.24/2.63 , X ), :=( Z, b )] )).
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 subsumption(
% 2.24/2.63 clause( 29, [ 'less_equal'( divide( divide( identity, X ), divide( b, X ) )
% 2.24/2.63 , divide( c, X ) ) ] )
% 2.24/2.63 , clause( 7908, [ 'less_equal'( divide( divide( identity, X ), divide( b, X
% 2.24/2.63 ) ), divide( c, X ) ) ] )
% 2.24/2.63 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 paramod(
% 2.24/2.63 clause( 7911, [ 'less_equal'( divide( divide( X, Y ), zero ), divide(
% 2.24/2.63 divide( X, zero ), Y ) ) ] )
% 2.24/2.63 , clause( 13, [ =( divide( zero, X ), zero ) ] )
% 2.24/2.63 , 0, clause( 3, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ),
% 2.24/2.63 divide( divide( X, Z ), Y ) ) ] )
% 2.24/2.63 , 0, 5, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 2.24/2.63 :=( Y, Y ), :=( Z, zero )] )).
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 subsumption(
% 2.24/2.63 clause( 31, [ 'less_equal'( divide( divide( Y, X ), zero ), divide( divide(
% 2.24/2.63 Y, zero ), X ) ) ] )
% 2.24/2.63 , clause( 7911, [ 'less_equal'( divide( divide( X, Y ), zero ), divide(
% 2.24/2.63 divide( X, zero ), Y ) ) ] )
% 2.24/2.63 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 2.24/2.63 )] ) ).
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 paramod(
% 2.24/2.63 clause( 7923, [ 'less_equal'( divide( divide( X, c ), d ), divide( divide(
% 2.24/2.63 X, identity ), c ) ) ] )
% 2.24/2.63 , clause( 10, [ =( divide( identity, c ), d ) ] )
% 2.24/2.63 , 0, clause( 3, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ),
% 2.24/2.63 divide( divide( X, Z ), Y ) ) ] )
% 2.24/2.63 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, c ),
% 2.24/2.63 :=( Z, identity )] )).
% 2.24/2.63
% 2.24/2.63
% 2.24/2.63 paramod(
% 2.24/2.63 clause( 7925, [ 'less_equal'( divide( divide( X, c ), d ), divide( zero, c
% 2.24/2.63 ) ) ] )
% 2.24/2.63 , clause( 14, [ =( divide( X, identity ), zero ) ] )
% 2.24/2.63 , 0, clause( 7923, [ 'less_equal'( divide( divide( X, c ), d ), divide(
% 2.24/2.63 divide( X, identity ), c ) ) ] )
% 2.24/2.63 , 0, 7, substitution( 0, [ :=( X, X )]Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------