TSTP Solution File: HEN010-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : HEN010-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n011.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 12:47:11 EDT 2022
% Result : Unsatisfiable 11.70s 12.09s
% Output : Refutation 11.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : HEN010-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n011.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Fri Jul 1 14:17:19 EDT 2022
% 0.13/0.33 % CPUTime :
% 11.70/12.09 *** allocated 10000 integers for termspace/termends
% 11.70/12.09 *** allocated 10000 integers for clauses
% 11.70/12.09 *** allocated 10000 integers for justifications
% 11.70/12.09 Bliksem 1.12
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 Automatic Strategy Selection
% 11.70/12.09
% 11.70/12.09 Clauses:
% 11.70/12.09 [
% 11.70/12.09 [ ~( 'less_equal'( X, Y ) ), quotient( X, Y, zero ) ],
% 11.70/12.09 [ ~( quotient( X, Y, zero ) ), 'less_equal'( X, Y ) ],
% 11.70/12.09 [ ~( quotient( X, Y, Z ) ), 'less_equal'( Z, X ) ],
% 11.70/12.09 [ ~( quotient( X, Y, Z ) ), ~( quotient( Y, T, U ) ), ~( quotient( X, T
% 11.70/12.09 , W ) ), ~( quotient( W, U, V0 ) ), ~( quotient( Z, T, V1 ) ),
% 11.70/12.09 'less_equal'( V0, V1 ) ],
% 11.70/12.09 [ 'less_equal'( zero, X ) ],
% 11.70/12.09 [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y ) ],
% 11.70/12.09 [ 'less_equal'( X, identity ) ],
% 11.70/12.09 [ quotient( X, Y, divide( X, Y ) ) ],
% 11.70/12.09 [ ~( quotient( X, Y, Z ) ), ~( quotient( X, Y, T ) ), =( Z, T ) ],
% 11.70/12.09 [ quotient( X, identity, zero ) ],
% 11.70/12.09 [ quotient( zero, X, zero ) ],
% 11.70/12.09 [ quotient( X, X, zero ) ],
% 11.70/12.09 [ quotient( X, zero, X ) ],
% 11.70/12.09 [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, Z ) ), 'less_equal'( X
% 11.70/12.09 , Z ) ],
% 11.70/12.09 [ ~( quotient( X, Y, Z ) ), ~( 'less_equal'( Z, T ) ), ~( quotient( X, T
% 11.70/12.09 , U ) ), 'less_equal'( U, Y ) ],
% 11.70/12.09 [ ~( 'less_equal'( X, Y ) ), ~( quotient( Z, Y, T ) ), ~( quotient( Z, X
% 11.70/12.09 , U ) ), 'less_equal'( T, U ) ],
% 11.70/12.09 [ ~( 'less_equal'( X, Y ) ), ~( quotient( X, Z, T ) ), ~( quotient( Y, Z
% 11.70/12.09 , U ) ), 'less_equal'( T, U ) ],
% 11.70/12.09 [ ~( quotient( identity, X, Y ) ), ~( quotient( identity, Y, Z ) ), ~(
% 11.70/12.09 quotient( identity, Z, T ) ), =( Y, T ) ],
% 11.70/12.09 [ quotient( identity, a, idQa ) ],
% 11.70/12.09 [ quotient( identity, idQa, 'idQ_idQa' ) ],
% 11.70/12.09 [ quotient( idQa, 'idQ_idQa', 'idQa_Q__idQ_idQa' ) ],
% 11.70/12.09 [ ~( =( idQa, 'idQa_Q__idQ_idQa' ) ) ]
% 11.70/12.09 ] .
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 percentage equality = 0.083333, percentage horn = 1.000000
% 11.70/12.09 This is a problem with some equality
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 Options Used:
% 11.70/12.09
% 11.70/12.09 useres = 1
% 11.70/12.09 useparamod = 1
% 11.70/12.09 useeqrefl = 1
% 11.70/12.09 useeqfact = 1
% 11.70/12.09 usefactor = 1
% 11.70/12.09 usesimpsplitting = 0
% 11.70/12.09 usesimpdemod = 5
% 11.70/12.09 usesimpres = 3
% 11.70/12.09
% 11.70/12.09 resimpinuse = 1000
% 11.70/12.09 resimpclauses = 20000
% 11.70/12.09 substype = eqrewr
% 11.70/12.09 backwardsubs = 1
% 11.70/12.09 selectoldest = 5
% 11.70/12.09
% 11.70/12.09 litorderings [0] = split
% 11.70/12.09 litorderings [1] = extend the termordering, first sorting on arguments
% 11.70/12.09
% 11.70/12.09 termordering = kbo
% 11.70/12.09
% 11.70/12.09 litapriori = 0
% 11.70/12.09 termapriori = 1
% 11.70/12.09 litaposteriori = 0
% 11.70/12.09 termaposteriori = 0
% 11.70/12.09 demodaposteriori = 0
% 11.70/12.09 ordereqreflfact = 0
% 11.70/12.09
% 11.70/12.09 litselect = negord
% 11.70/12.09
% 11.70/12.09 maxweight = 15
% 11.70/12.09 maxdepth = 30000
% 11.70/12.09 maxlength = 115
% 11.70/12.09 maxnrvars = 195
% 11.70/12.09 excuselevel = 1
% 11.70/12.09 increasemaxweight = 1
% 11.70/12.09
% 11.70/12.09 maxselected = 10000000
% 11.70/12.09 maxnrclauses = 10000000
% 11.70/12.09
% 11.70/12.09 showgenerated = 0
% 11.70/12.09 showkept = 0
% 11.70/12.09 showselected = 0
% 11.70/12.09 showdeleted = 0
% 11.70/12.09 showresimp = 1
% 11.70/12.09 showstatus = 2000
% 11.70/12.09
% 11.70/12.09 prologoutput = 1
% 11.70/12.09 nrgoals = 5000000
% 11.70/12.09 totalproof = 1
% 11.70/12.09
% 11.70/12.09 Symbols occurring in the translation:
% 11.70/12.09
% 11.70/12.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 11.70/12.09 . [1, 2] (w:1, o:34, a:1, s:1, b:0),
% 11.70/12.09 ! [4, 1] (w:0, o:29, a:1, s:1, b:0),
% 11.70/12.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 11.70/12.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 11.70/12.09 'less_equal' [41, 2] (w:1, o:59, a:1, s:1, b:0),
% 11.70/12.09 zero [42, 0] (w:1, o:14, a:1, s:1, b:0),
% 11.70/12.09 quotient [43, 3] (w:1, o:61, a:1, s:1, b:0),
% 11.70/12.09 identity [50, 0] (w:1, o:24, a:1, s:1, b:0),
% 11.70/12.09 divide [51, 2] (w:1, o:60, a:1, s:1, b:0),
% 11.70/12.09 a [58, 0] (w:1, o:25, a:1, s:1, b:0),
% 11.70/12.09 idQa [59, 0] (w:1, o:26, a:1, s:1, b:0),
% 11.70/12.09 'idQ_idQa' [60, 0] (w:1, o:27, a:1, s:1, b:0),
% 11.70/12.09 'idQa_Q__idQ_idQa' [61, 0] (w:1, o:28, a:1, s:1, b:0).
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 Starting Search:
% 11.70/12.09
% 11.70/12.09 Resimplifying inuse:
% 11.70/12.09 Done
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 Intermediate Status:
% 11.70/12.09 Generated: 9752
% 11.70/12.09 Kept: 2002
% 11.70/12.09 Inuse: 141
% 11.70/12.09 Deleted: 22
% 11.70/12.09 Deletedinuse: 3
% 11.70/12.09
% 11.70/12.09 Resimplifying inuse:
% 11.70/12.09 Done
% 11.70/12.09
% 11.70/12.09 Resimplifying inuse:
% 11.70/12.09 Done
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 Intermediate Status:
% 11.70/12.09 Generated: 28244
% 11.70/12.09 Kept: 4014
% 11.70/12.09 Inuse: 284
% 11.70/12.09 Deleted: 92
% 11.70/12.09 Deletedinuse: 26
% 11.70/12.09
% 11.70/12.09 Resimplifying inuse:
% 11.70/12.09 Done
% 11.70/12.09
% 11.70/12.09 Resimplifying inuse:
% 11.70/12.09 Done
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 Intermediate Status:
% 11.70/12.09 Generated: 42596
% 11.70/12.09 Kept: 6042
% 11.70/12.09 Inuse: 377
% 11.70/12.09 Deleted: 139
% 11.70/12.09 Deletedinuse: 31
% 11.70/12.09
% 11.70/12.09 Resimplifying inuse:
% 11.70/12.09 Done
% 11.70/12.09
% 11.70/12.09 Resimplifying inuse:
% 11.70/12.09 Done
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 Intermediate Status:
% 11.70/12.09 Generated: 56958
% 11.70/12.09 Kept: 8068
% 11.70/12.09 Inuse: 454
% 11.70/12.09 Deleted: 195
% 11.70/12.09 Deletedinuse: 41
% 11.70/12.09
% 11.70/12.09 Resimplifying inuse:
% 11.70/12.09 Done
% 11.70/12.09
% 11.70/12.09 Resimplifying inuse:
% 11.70/12.09 Done
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 Intermediate Status:
% 11.70/12.09 Generated: 71177
% 11.70/12.09 Kept: 10068
% 11.70/12.09 Inuse: 516
% 11.70/12.09 Deleted: 233
% 11.70/12.09 Deletedinuse: 60
% 11.70/12.09
% 11.70/12.09 Resimplifying inuse:
% 11.70/12.09 Done
% 11.70/12.09
% 11.70/12.09 Resimplifying inuse:
% 11.70/12.09 Done
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 Intermediate Status:
% 11.70/12.09 Generated: 85954
% 11.70/12.09 Kept: 12093
% 11.70/12.09 Inuse: 610
% 11.70/12.09 Deleted: 321
% 11.70/12.09 Deletedinuse: 96
% 11.70/12.09
% 11.70/12.09 Resimplifying inuse:
% 11.70/12.09 Done
% 11.70/12.09
% 11.70/12.09 Resimplifying inuse:
% 11.70/12.09 Done
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 Intermediate Status:
% 11.70/12.09 Generated: 101180
% 11.70/12.09 Kept: 14096
% 11.70/12.09 Inuse: 694
% 11.70/12.09 Deleted: 381
% 11.70/12.09 Deletedinuse: 121
% 11.70/12.09
% 11.70/12.09 Resimplifying inuse:
% 11.70/12.09 Done
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 Intermediate Status:
% 11.70/12.09 Generated: 112476
% 11.70/12.09 Kept: 16485
% 11.70/12.09 Inuse: 701
% 11.70/12.09 Deleted: 386
% 11.70/12.09 Deletedinuse: 121
% 11.70/12.09
% 11.70/12.09 Resimplifying inuse:
% 11.70/12.09 Done
% 11.70/12.09
% 11.70/12.09 Resimplifying inuse:
% 11.70/12.09 Done
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 Intermediate Status:
% 11.70/12.09 Generated: 135594
% 11.70/12.09 Kept: 18721
% 11.70/12.09 Inuse: 761
% 11.70/12.09 Deleted: 461
% 11.70/12.09 Deletedinuse: 121
% 11.70/12.09
% 11.70/12.09 Resimplifying inuse:
% 11.70/12.09 Done
% 11.70/12.09
% 11.70/12.09 Resimplifying inuse:
% 11.70/12.09 Done
% 11.70/12.09
% 11.70/12.09 Resimplifying clauses:
% 11.70/12.09 Done
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 Intermediate Status:
% 11.70/12.09 Generated: 141757
% 11.70/12.09 Kept: 20821
% 11.70/12.09 Inuse: 771
% 11.70/12.09 Deleted: 4917
% 11.70/12.09 Deletedinuse: 124
% 11.70/12.09
% 11.70/12.09 Resimplifying inuse:
% 11.70/12.09 Done
% 11.70/12.09
% 11.70/12.09 Resimplifying inuse:
% 11.70/12.09 Done
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 Intermediate Status:
% 11.70/12.09 Generated: 155010
% 11.70/12.09 Kept: 22826
% 11.70/12.09 Inuse: 821
% 11.70/12.09 Deleted: 4917
% 11.70/12.09 Deletedinuse: 124
% 11.70/12.09
% 11.70/12.09 Resimplifying inuse:
% 11.70/12.09 Done
% 11.70/12.09
% 11.70/12.09 Resimplifying inuse:
% 11.70/12.09 Done
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 Intermediate Status:
% 11.70/12.09 Generated: 202173
% 11.70/12.09 Kept: 24845
% 11.70/12.09 Inuse: 940
% 11.70/12.09 Deleted: 4917
% 11.70/12.09 Deletedinuse: 124
% 11.70/12.09
% 11.70/12.09 Resimplifying inuse:
% 11.70/12.09 Done
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 Intermediate Status:
% 11.70/12.09 Generated: 223182
% 11.70/12.09 Kept: 27438
% 11.70/12.09 Inuse: 985
% 11.70/12.09 Deleted: 4921
% 11.70/12.09 Deletedinuse: 127
% 11.70/12.09
% 11.70/12.09 Resimplifying inuse:
% 11.70/12.09 Done
% 11.70/12.09
% 11.70/12.09 Resimplifying inuse:
% 11.70/12.09 Done
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 Intermediate Status:
% 11.70/12.09 Generated: 237017
% 11.70/12.09 Kept: 29461
% 11.70/12.09 Inuse: 1021
% 11.70/12.09 Deleted: 4924
% 11.70/12.09 Deletedinuse: 130
% 11.70/12.09
% 11.70/12.09 Resimplifying inuse:
% 11.70/12.09 Done
% 11.70/12.09
% 11.70/12.09 Resimplifying inuse:
% 11.70/12.09 Done
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 Intermediate Status:
% 11.70/12.09 Generated: 269741
% 11.70/12.09 Kept: 31490
% 11.70/12.09 Inuse: 1095
% 11.70/12.09 Deleted: 4929
% 11.70/12.09 Deletedinuse: 134
% 11.70/12.09
% 11.70/12.09 Resimplifying inuse:
% 11.70/12.09 Done
% 11.70/12.09
% 11.70/12.09 Resimplifying inuse:
% 11.70/12.09 Done
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 Intermediate Status:
% 11.70/12.09 Generated: 289340
% 11.70/12.09 Kept: 33505
% 11.70/12.09 Inuse: 1136
% 11.70/12.09 Deleted: 4930
% 11.70/12.09 Deletedinuse: 135
% 11.70/12.09
% 11.70/12.09 Resimplifying inuse:
% 11.70/12.09 Done
% 11.70/12.09
% 11.70/12.09 Resimplifying inuse:
% 11.70/12.09 Done
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 Bliksems!, er is een bewijs:
% 11.70/12.09 % SZS status Unsatisfiable
% 11.70/12.09 % SZS output start Refutation
% 11.70/12.09
% 11.70/12.09 clause( 1, [ ~( quotient( X, Y, zero ) ), 'less_equal'( X, Y ) ] )
% 11.70/12.09 .
% 11.70/12.09 clause( 2, [ ~( quotient( X, Y, Z ) ), 'less_equal'( Z, X ) ] )
% 11.70/12.09 .
% 11.70/12.09 clause( 3, [ ~( quotient( X, Y, Z ) ), ~( quotient( Y, T, U ) ), ~(
% 11.70/12.09 quotient( X, T, W ) ), ~( quotient( W, U, V0 ) ), ~( quotient( Z, T, V1 )
% 11.70/12.09 ), 'less_equal'( V0, V1 ) ] )
% 11.70/12.09 .
% 11.70/12.09 clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y
% 11.70/12.09 ) ] )
% 11.70/12.09 .
% 11.70/12.09 clause( 6, [ 'less_equal'( X, identity ) ] )
% 11.70/12.09 .
% 11.70/12.09 clause( 7, [ quotient( X, Y, divide( X, Y ) ) ] )
% 11.70/12.09 .
% 11.70/12.09 clause( 8, [ ~( quotient( X, Y, Z ) ), ~( quotient( X, Y, T ) ), =( Z, T )
% 11.70/12.09 ] )
% 11.70/12.09 .
% 11.70/12.09 clause( 11, [ quotient( X, X, zero ) ] )
% 11.70/12.09 .
% 11.70/12.09 clause( 12, [ quotient( X, zero, X ) ] )
% 11.70/12.09 .
% 11.70/12.09 clause( 13, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, Z ) ),
% 11.70/12.09 'less_equal'( X, Z ) ] )
% 11.70/12.09 .
% 11.70/12.09 clause( 14, [ ~( quotient( X, Y, Z ) ), ~( 'less_equal'( Z, T ) ), ~(
% 11.70/12.09 quotient( X, T, U ) ), 'less_equal'( U, Y ) ] )
% 11.70/12.09 .
% 11.70/12.09 clause( 16, [ ~( 'less_equal'( X, Y ) ), ~( quotient( X, Z, T ) ), ~(
% 11.70/12.09 quotient( Y, Z, U ) ), 'less_equal'( T, U ) ] )
% 11.70/12.09 .
% 11.70/12.09 clause( 18, [ quotient( identity, a, idQa ) ] )
% 11.70/12.09 .
% 11.70/12.09 clause( 19, [ quotient( identity, idQa, 'idQ_idQa' ) ] )
% 11.70/12.09 .
% 11.70/12.09 clause( 20, [ quotient( idQa, 'idQ_idQa', 'idQa_Q__idQ_idQa' ) ] )
% 11.70/12.09 .
% 11.70/12.09 clause( 21, [ ~( =( 'idQa_Q__idQ_idQa', idQa ) ) ] )
% 11.70/12.09 .
% 11.70/12.09 clause( 46, [ 'less_equal'( X, X ) ] )
% 11.70/12.09 .
% 11.70/12.09 clause( 47, [ 'less_equal'( divide( X, Y ), X ) ] )
% 11.70/12.09 .
% 11.70/12.09 clause( 48, [ 'less_equal'( 'idQa_Q__idQ_idQa', idQa ) ] )
% 11.70/12.09 .
% 11.70/12.09 clause( 90, [ ~( quotient( X, Y, Z ) ), ~( quotient( Y, T, zero ) ), ~(
% 11.70/12.09 quotient( X, T, U ) ), ~( quotient( Z, T, W ) ), 'less_equal'( U, W ) ]
% 11.70/12.09 )
% 11.70/12.09 .
% 11.70/12.09 clause( 96, [ ~( quotient( X, Y, Z ) ), ~( quotient( Z, Y, T ) ),
% 11.70/12.09 'less_equal'( Z, T ) ] )
% 11.70/12.09 .
% 11.70/12.09 clause( 209, [ ~( 'less_equal'( idQa, 'idQa_Q__idQ_idQa' ) ), =(
% 11.70/12.09 'idQa_Q__idQ_idQa', idQa ) ] )
% 11.70/12.09 .
% 11.70/12.09 clause( 224, [ quotient( X, a, idQa ), ~( 'less_equal'( identity, X ) ) ]
% 11.70/12.09 )
% 11.70/12.09 .
% 11.70/12.09 clause( 240, [ ~( =( X, idQa ) ), ~( 'less_equal'( 'idQa_Q__idQ_idQa', X )
% 11.70/12.09 ), ~( 'less_equal'( X, 'idQa_Q__idQ_idQa' ) ) ] )
% 11.70/12.09 .
% 11.70/12.09 clause( 243, [ ~( 'less_equal'( idQa, 'idQa_Q__idQ_idQa' ) ) ] )
% 11.70/12.09 .
% 11.70/12.09 clause( 264, [ ~( quotient( identity, idQa, X ) ), =( 'idQ_idQa', X ) ] )
% 11.70/12.09 .
% 11.70/12.09 clause( 368, [ ~( quotient( X, Y, Z ) ), ~( quotient( X, T, U ) ),
% 11.70/12.09 'less_equal'( U, Y ), ~( 'less_equal'( Z, W ) ), ~( 'less_equal'( W, T )
% 11.70/12.09 ) ] )
% 11.70/12.09 .
% 11.70/12.09 clause( 374, [ ~( quotient( X, 'idQa_Q__idQ_idQa', Y ) ), ~( 'less_equal'(
% 11.70/12.09 Y, Z ) ), ~( quotient( X, Z, idQa ) ) ] )
% 11.70/12.09 .
% 11.70/12.09 clause( 4967, [ ~( quotient( idQa, a, X ) ), 'less_equal'( idQa, X ) ] )
% 11.70/12.09 .
% 11.70/12.09 clause( 5045, [ 'less_equal'( idQa, divide( idQa, a ) ) ] )
% 11.70/12.09 .
% 11.70/12.09 clause( 5128, [ =( divide( idQa, a ), idQa ) ] )
% 11.70/12.09 .
% 11.70/12.09 clause( 5146, [ quotient( idQa, a, idQa ) ] )
% 11.70/12.09 .
% 11.70/12.09 clause( 8624, [ =( divide( identity, idQa ), 'idQ_idQa' ) ] )
% 11.70/12.09 .
% 11.70/12.09 clause( 9538, [ ~( 'less_equal'( identity, X ) ), ~( 'less_equal'( X, Y ) )
% 11.70/12.09 , ~( quotient( Y, a, Z ) ), 'less_equal'( idQa, Z ) ] )
% 11.70/12.09 .
% 11.70/12.09 clause( 9566, [ ~( quotient( identity, a, X ) ), 'less_equal'( idQa, X ) ]
% 11.70/12.09 )
% 11.70/12.09 .
% 11.70/12.09 clause( 9569, [ ~( quotient( identity, a, X ) ), ~( quotient( Y, Z, idQa )
% 11.70/12.09 ), ~( quotient( Y, X, T ) ), 'less_equal'( T, Z ) ] )
% 11.70/12.09 .
% 11.70/12.09 clause( 9588, [ ~( quotient( identity, idQa, X ) ), 'less_equal'( X, a ) ]
% 11.70/12.09 )
% 11.70/12.09 .
% 11.70/12.09 clause( 9611, [ 'less_equal'( 'idQ_idQa', a ) ] )
% 11.70/12.09 .
% 11.70/12.09 clause( 9673, [ ~( 'less_equal'( X, 'idQ_idQa' ) ), 'less_equal'( X, a ) ]
% 11.70/12.09 )
% 11.70/12.09 .
% 11.70/12.09 clause( 31393, [ ~( quotient( idQa, X, Y ) ), 'less_equal'( Y, 'idQ_idQa' )
% 11.70/12.09 , ~( 'less_equal'( 'idQa_Q__idQ_idQa', Z ) ), ~( 'less_equal'( Z, X ) ) ]
% 11.70/12.09 )
% 11.70/12.09 .
% 11.70/12.09 clause( 31395, [ ~( quotient( idQa, 'idQa_Q__idQ_idQa', X ) ), 'less_equal'(
% 11.70/12.09 X, 'idQ_idQa' ) ] )
% 11.70/12.09 .
% 11.70/12.09 clause( 32880, [ ~( quotient( idQa, 'idQa_Q__idQ_idQa', X ) ), ~(
% 11.70/12.09 'less_equal'( X, a ) ) ] )
% 11.70/12.09 .
% 11.70/12.09 clause( 34583, [ ~( quotient( idQa, 'idQa_Q__idQ_idQa', X ) ) ] )
% 11.70/12.09 .
% 11.70/12.09 clause( 34714, [] )
% 11.70/12.09 .
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 % SZS output end Refutation
% 11.70/12.09 found a proof!
% 11.70/12.09
% 11.70/12.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 11.70/12.09
% 11.70/12.09 initialclauses(
% 11.70/12.09 [ clause( 34716, [ ~( 'less_equal'( X, Y ) ), quotient( X, Y, zero ) ] )
% 11.70/12.09 , clause( 34717, [ ~( quotient( X, Y, zero ) ), 'less_equal'( X, Y ) ] )
% 11.70/12.09 , clause( 34718, [ ~( quotient( X, Y, Z ) ), 'less_equal'( Z, X ) ] )
% 11.70/12.09 , clause( 34719, [ ~( quotient( X, Y, Z ) ), ~( quotient( Y, T, U ) ), ~(
% 11.70/12.09 quotient( X, T, W ) ), ~( quotient( W, U, V0 ) ), ~( quotient( Z, T, V1 )
% 11.70/12.09 ), 'less_equal'( V0, V1 ) ] )
% 11.70/12.09 , clause( 34720, [ 'less_equal'( zero, X ) ] )
% 11.70/12.09 , clause( 34721, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ),
% 11.70/12.09 =( X, Y ) ] )
% 11.70/12.09 , clause( 34722, [ 'less_equal'( X, identity ) ] )
% 11.70/12.09 , clause( 34723, [ quotient( X, Y, divide( X, Y ) ) ] )
% 11.70/12.09 , clause( 34724, [ ~( quotient( X, Y, Z ) ), ~( quotient( X, Y, T ) ), =( Z
% 11.70/12.09 , T ) ] )
% 11.70/12.09 , clause( 34725, [ quotient( X, identity, zero ) ] )
% 11.70/12.09 , clause( 34726, [ quotient( zero, X, zero ) ] )
% 11.70/12.09 , clause( 34727, [ quotient( X, X, zero ) ] )
% 11.70/12.09 , clause( 34728, [ quotient( X, zero, X ) ] )
% 11.70/12.09 , clause( 34729, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, Z ) ),
% 11.70/12.09 'less_equal'( X, Z ) ] )
% 11.70/12.09 , clause( 34730, [ ~( quotient( X, Y, Z ) ), ~( 'less_equal'( Z, T ) ), ~(
% 11.70/12.09 quotient( X, T, U ) ), 'less_equal'( U, Y ) ] )
% 11.70/12.09 , clause( 34731, [ ~( 'less_equal'( X, Y ) ), ~( quotient( Z, Y, T ) ), ~(
% 11.70/12.09 quotient( Z, X, U ) ), 'less_equal'( T, U ) ] )
% 11.70/12.09 , clause( 34732, [ ~( 'less_equal'( X, Y ) ), ~( quotient( X, Z, T ) ), ~(
% 11.70/12.09 quotient( Y, Z, U ) ), 'less_equal'( T, U ) ] )
% 11.70/12.09 , clause( 34733, [ ~( quotient( identity, X, Y ) ), ~( quotient( identity,
% 11.70/12.09 Y, Z ) ), ~( quotient( identity, Z, T ) ), =( Y, T ) ] )
% 11.70/12.09 , clause( 34734, [ quotient( identity, a, idQa ) ] )
% 11.70/12.09 , clause( 34735, [ quotient( identity, idQa, 'idQ_idQa' ) ] )
% 11.70/12.09 , clause( 34736, [ quotient( idQa, 'idQ_idQa', 'idQa_Q__idQ_idQa' ) ] )
% 11.70/12.09 , clause( 34737, [ ~( =( idQa, 'idQa_Q__idQ_idQa' ) ) ] )
% 11.70/12.09 ] ).
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 subsumption(
% 11.70/12.09 clause( 1, [ ~( quotient( X, Y, zero ) ), 'less_equal'( X, Y ) ] )
% 11.70/12.09 , clause( 34717, [ ~( quotient( X, Y, zero ) ), 'less_equal'( X, Y ) ] )
% 11.70/12.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 11.70/12.09 ), ==>( 1, 1 )] ) ).
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 subsumption(
% 11.70/12.09 clause( 2, [ ~( quotient( X, Y, Z ) ), 'less_equal'( Z, X ) ] )
% 11.70/12.09 , clause( 34718, [ ~( quotient( X, Y, Z ) ), 'less_equal'( Z, X ) ] )
% 11.70/12.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 11.70/12.09 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 subsumption(
% 11.70/12.09 clause( 3, [ ~( quotient( X, Y, Z ) ), ~( quotient( Y, T, U ) ), ~(
% 11.70/12.09 quotient( X, T, W ) ), ~( quotient( W, U, V0 ) ), ~( quotient( Z, T, V1 )
% 11.70/12.09 ), 'less_equal'( V0, V1 ) ] )
% 11.70/12.09 , clause( 34719, [ ~( quotient( X, Y, Z ) ), ~( quotient( Y, T, U ) ), ~(
% 11.70/12.09 quotient( X, T, W ) ), ~( quotient( W, U, V0 ) ), ~( quotient( Z, T, V1 )
% 11.70/12.09 ), 'less_equal'( V0, V1 ) ] )
% 11.70/12.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 11.70/12.09 , U ), :=( W, W ), :=( V0, V0 ), :=( V1, V1 )] ), permutation( 0, [ ==>(
% 11.70/12.09 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 ), ==>( 5, 5 )] )
% 11.70/12.09 ).
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 subsumption(
% 11.70/12.09 clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y
% 11.70/12.09 ) ] )
% 11.70/12.09 , clause( 34721, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ),
% 11.70/12.09 =( X, Y ) ] )
% 11.70/12.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 11.70/12.09 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 subsumption(
% 11.70/12.09 clause( 6, [ 'less_equal'( X, identity ) ] )
% 11.70/12.09 , clause( 34722, [ 'less_equal'( X, identity ) ] )
% 11.70/12.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 subsumption(
% 11.70/12.09 clause( 7, [ quotient( X, Y, divide( X, Y ) ) ] )
% 11.70/12.09 , clause( 34723, [ quotient( X, Y, divide( X, Y ) ) ] )
% 11.70/12.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 11.70/12.09 )] ) ).
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 subsumption(
% 11.70/12.09 clause( 8, [ ~( quotient( X, Y, Z ) ), ~( quotient( X, Y, T ) ), =( Z, T )
% 11.70/12.09 ] )
% 11.70/12.09 , clause( 34724, [ ~( quotient( X, Y, Z ) ), ~( quotient( X, Y, T ) ), =( Z
% 11.70/12.09 , T ) ] )
% 11.70/12.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 11.70/12.09 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 subsumption(
% 11.70/12.09 clause( 11, [ quotient( X, X, zero ) ] )
% 11.70/12.09 , clause( 34727, [ quotient( X, X, zero ) ] )
% 11.70/12.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 subsumption(
% 11.70/12.09 clause( 12, [ quotient( X, zero, X ) ] )
% 11.70/12.09 , clause( 34728, [ quotient( X, zero, X ) ] )
% 11.70/12.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 subsumption(
% 11.70/12.09 clause( 13, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, Z ) ),
% 11.70/12.09 'less_equal'( X, Z ) ] )
% 11.70/12.09 , clause( 34729, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, Z ) ),
% 11.70/12.09 'less_equal'( X, Z ) ] )
% 11.70/12.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 11.70/12.09 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 subsumption(
% 11.70/12.09 clause( 14, [ ~( quotient( X, Y, Z ) ), ~( 'less_equal'( Z, T ) ), ~(
% 11.70/12.09 quotient( X, T, U ) ), 'less_equal'( U, Y ) ] )
% 11.70/12.09 , clause( 34730, [ ~( quotient( X, Y, Z ) ), ~( 'less_equal'( Z, T ) ), ~(
% 11.70/12.09 quotient( X, T, U ) ), 'less_equal'( U, Y ) ] )
% 11.70/12.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 11.70/12.09 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3
% 11.70/12.09 , 3 )] ) ).
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 subsumption(
% 11.70/12.09 clause( 16, [ ~( 'less_equal'( X, Y ) ), ~( quotient( X, Z, T ) ), ~(
% 11.70/12.09 quotient( Y, Z, U ) ), 'less_equal'( T, U ) ] )
% 11.70/12.09 , clause( 34732, [ ~( 'less_equal'( X, Y ) ), ~( quotient( X, Z, T ) ), ~(
% 11.70/12.09 quotient( Y, Z, U ) ), 'less_equal'( T, U ) ] )
% 11.70/12.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 11.70/12.09 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3
% 11.70/12.09 , 3 )] ) ).
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 subsumption(
% 11.70/12.09 clause( 18, [ quotient( identity, a, idQa ) ] )
% 11.70/12.09 , clause( 34734, [ quotient( identity, a, idQa ) ] )
% 11.70/12.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 subsumption(
% 11.70/12.09 clause( 19, [ quotient( identity, idQa, 'idQ_idQa' ) ] )
% 11.70/12.09 , clause( 34735, [ quotient( identity, idQa, 'idQ_idQa' ) ] )
% 11.70/12.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 subsumption(
% 11.70/12.09 clause( 20, [ quotient( idQa, 'idQ_idQa', 'idQa_Q__idQ_idQa' ) ] )
% 11.70/12.09 , clause( 34736, [ quotient( idQa, 'idQ_idQa', 'idQa_Q__idQ_idQa' ) ] )
% 11.70/12.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 eqswap(
% 11.70/12.09 clause( 35308, [ ~( =( 'idQa_Q__idQ_idQa', idQa ) ) ] )
% 11.70/12.09 , clause( 34737, [ ~( =( idQa, 'idQa_Q__idQ_idQa' ) ) ] )
% 11.70/12.09 , 0, substitution( 0, [] )).
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 subsumption(
% 11.70/12.09 clause( 21, [ ~( =( 'idQa_Q__idQ_idQa', idQa ) ) ] )
% 11.70/12.09 , clause( 35308, [ ~( =( 'idQa_Q__idQ_idQa', idQa ) ) ] )
% 11.70/12.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 resolution(
% 11.70/12.09 clause( 35309, [ 'less_equal'( X, X ) ] )
% 11.70/12.09 , clause( 1, [ ~( quotient( X, Y, zero ) ), 'less_equal'( X, Y ) ] )
% 11.70/12.09 , 0, clause( 11, [ quotient( X, X, zero ) ] )
% 11.70/12.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [ :=( X
% 11.70/12.09 , X )] )).
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 subsumption(
% 11.70/12.09 clause( 46, [ 'less_equal'( X, X ) ] )
% 11.70/12.09 , clause( 35309, [ 'less_equal'( X, X ) ] )
% 11.70/12.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 resolution(
% 11.70/12.09 clause( 35310, [ 'less_equal'( divide( X, Y ), X ) ] )
% 11.70/12.09 , clause( 2, [ ~( quotient( X, Y, Z ) ), 'less_equal'( Z, X ) ] )
% 11.70/12.09 , 0, clause( 7, [ quotient( X, Y, divide( X, Y ) ) ] )
% 11.70/12.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, divide( X, Y ) )] )
% 11.70/12.09 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 subsumption(
% 11.70/12.09 clause( 47, [ 'less_equal'( divide( X, Y ), X ) ] )
% 11.70/12.09 , clause( 35310, [ 'less_equal'( divide( X, Y ), X ) ] )
% 11.70/12.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 11.70/12.09 )] ) ).
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 resolution(
% 11.70/12.09 clause( 35311, [ 'less_equal'( 'idQa_Q__idQ_idQa', idQa ) ] )
% 11.70/12.09 , clause( 2, [ ~( quotient( X, Y, Z ) ), 'less_equal'( Z, X ) ] )
% 11.70/12.09 , 0, clause( 20, [ quotient( idQa, 'idQ_idQa', 'idQa_Q__idQ_idQa' ) ] )
% 11.70/12.09 , 0, substitution( 0, [ :=( X, idQa ), :=( Y, 'idQ_idQa' ), :=( Z,
% 11.70/12.09 'idQa_Q__idQ_idQa' )] ), substitution( 1, [] )).
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 subsumption(
% 11.70/12.09 clause( 48, [ 'less_equal'( 'idQa_Q__idQ_idQa', idQa ) ] )
% 11.70/12.09 , clause( 35311, [ 'less_equal'( 'idQa_Q__idQ_idQa', idQa ) ] )
% 11.70/12.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 resolution(
% 11.70/12.09 clause( 35315, [ ~( quotient( X, Y, Z ) ), ~( quotient( Y, T, zero ) ), ~(
% 11.70/12.09 quotient( X, T, U ) ), ~( quotient( Z, T, W ) ), 'less_equal'( U, W ) ]
% 11.70/12.09 )
% 11.70/12.09 , clause( 3, [ ~( quotient( X, Y, Z ) ), ~( quotient( Y, T, U ) ), ~(
% 11.70/12.09 quotient( X, T, W ) ), ~( quotient( W, U, V0 ) ), ~( quotient( Z, T, V1 )
% 11.70/12.09 ), 'less_equal'( V0, V1 ) ] )
% 11.70/12.09 , 3, clause( 12, [ quotient( X, zero, X ) ] )
% 11.70/12.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 11.70/12.09 :=( U, zero ), :=( W, U ), :=( V0, U ), :=( V1, W )] ), substitution( 1
% 11.70/12.09 , [ :=( X, U )] )).
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 subsumption(
% 11.70/12.09 clause( 90, [ ~( quotient( X, Y, Z ) ), ~( quotient( Y, T, zero ) ), ~(
% 11.70/12.09 quotient( X, T, U ) ), ~( quotient( Z, T, W ) ), 'less_equal'( U, W ) ]
% 11.70/12.09 )
% 11.70/12.09 , clause( 35315, [ ~( quotient( X, Y, Z ) ), ~( quotient( Y, T, zero ) ),
% 11.70/12.09 ~( quotient( X, T, U ) ), ~( quotient( Z, T, W ) ), 'less_equal'( U, W )
% 11.70/12.09 ] )
% 11.70/12.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 11.70/12.09 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 11.70/12.09 , 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 factor(
% 11.70/12.09 clause( 35363, [ ~( quotient( X, Y, Z ) ), ~( quotient( Y, Y, zero ) ), ~(
% 11.70/12.09 quotient( Z, Y, T ) ), 'less_equal'( Z, T ) ] )
% 11.70/12.09 , clause( 90, [ ~( quotient( X, Y, Z ) ), ~( quotient( Y, T, zero ) ), ~(
% 11.70/12.09 quotient( X, T, U ) ), ~( quotient( Z, T, W ) ), 'less_equal'( U, W ) ]
% 11.70/12.09 )
% 11.70/12.09 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Y ),
% 11.70/12.09 :=( U, Z ), :=( W, T )] )).
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 resolution(
% 11.70/12.09 clause( 35378, [ ~( quotient( X, Y, Z ) ), ~( quotient( Z, Y, T ) ),
% 11.70/12.09 'less_equal'( Z, T ) ] )
% 11.70/12.09 , clause( 35363, [ ~( quotient( X, Y, Z ) ), ~( quotient( Y, Y, zero ) ),
% 11.70/12.09 ~( quotient( Z, Y, T ) ), 'less_equal'( Z, T ) ] )
% 11.70/12.09 , 1, clause( 11, [ quotient( X, X, zero ) ] )
% 11.70/12.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 11.70/12.09 substitution( 1, [ :=( X, Y )] )).
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 subsumption(
% 11.70/12.09 clause( 96, [ ~( quotient( X, Y, Z ) ), ~( quotient( Z, Y, T ) ),
% 11.70/12.09 'less_equal'( Z, T ) ] )
% 11.70/12.09 , clause( 35378, [ ~( quotient( X, Y, Z ) ), ~( quotient( Z, Y, T ) ),
% 11.70/12.09 'less_equal'( Z, T ) ] )
% 11.70/12.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 11.70/12.09 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 11.70/12.09
% 11.70/12.09
% 11.70/12.09 resolution(
% 11.70/12.09 clause( 35380, [ ~( 'less_equal'( idQa, 'idQa_Q__idQ_idQa' ) ), =(
% 11.70/12.09 'idQa_Q__idQ_idQa', idQa ) ] )
% 11.70/12.09 , clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X,
% 11.70/12.09 Y ) ] )
% 11.70/12.09 , 0, clause( 48, [ 'less_equal'( 'idQa_Q__idQ_idQa'Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------