TSTP Solution File: HEN009-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : HEN009-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.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 10.15s 10.53s
% Output : Refutation 10.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HEN009-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Fri Jul 1 14:32:24 EDT 2022
% 0.14/0.34 % CPUTime :
% 10.15/10.53 *** allocated 10000 integers for termspace/termends
% 10.15/10.53 *** allocated 10000 integers for clauses
% 10.15/10.53 *** allocated 10000 integers for justifications
% 10.15/10.53 Bliksem 1.12
% 10.15/10.53
% 10.15/10.53
% 10.15/10.53 Automatic Strategy Selection
% 10.15/10.53
% 10.15/10.53 Clauses:
% 10.15/10.53 [
% 10.15/10.53 [ ~( 'less_equal'( X, Y ) ), quotient( X, Y, zero ) ],
% 10.15/10.53 [ ~( quotient( X, Y, zero ) ), 'less_equal'( X, Y ) ],
% 10.15/10.53 [ ~( quotient( X, Y, Z ) ), 'less_equal'( Z, X ) ],
% 10.15/10.53 [ ~( quotient( X, Y, Z ) ), ~( quotient( Y, T, U ) ), ~( quotient( X, T
% 10.15/10.53 , W ) ), ~( quotient( W, U, V0 ) ), ~( quotient( Z, T, V1 ) ),
% 10.15/10.53 'less_equal'( V0, V1 ) ],
% 10.15/10.53 [ 'less_equal'( zero, X ) ],
% 10.15/10.53 [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y ) ],
% 10.15/10.53 [ 'less_equal'( X, identity ) ],
% 10.15/10.53 [ quotient( X, Y, divide( X, Y ) ) ],
% 10.15/10.53 [ ~( quotient( X, Y, Z ) ), ~( quotient( X, Y, T ) ), =( Z, T ) ],
% 10.15/10.53 [ quotient( X, identity, zero ) ],
% 10.15/10.53 [ quotient( zero, X, zero ) ],
% 10.15/10.53 [ quotient( X, X, zero ) ],
% 10.15/10.53 [ quotient( X, zero, X ) ],
% 10.15/10.53 [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, Z ) ), 'less_equal'( X
% 10.15/10.53 , Z ) ],
% 10.15/10.53 [ ~( quotient( X, Y, Z ) ), ~( 'less_equal'( Z, T ) ), ~( quotient( X, T
% 10.15/10.53 , U ) ), 'less_equal'( U, Y ) ],
% 10.15/10.53 [ ~( 'less_equal'( X, Y ) ), ~( quotient( Z, Y, T ) ), ~( quotient( Z, X
% 10.15/10.53 , U ) ), 'less_equal'( T, U ) ],
% 10.15/10.53 [ ~( 'less_equal'( X, Y ) ), ~( quotient( X, Z, T ) ), ~( quotient( Y, Z
% 10.15/10.53 , U ) ), 'less_equal'( T, U ) ],
% 10.15/10.53 [ quotient( identity, a, idQa ) ],
% 10.15/10.53 [ quotient( identity, idQa, 'idQ_idQa' ) ],
% 10.15/10.53 [ quotient( identity, 'idQ_idQa', 'idQ__idQ_idQa' ) ],
% 10.15/10.53 [ ~( =( idQa, 'idQ__idQ_idQa' ) ) ]
% 10.15/10.53 ] .
% 10.15/10.53
% 10.15/10.53
% 10.15/10.53 percentage equality = 0.068182, percentage horn = 1.000000
% 10.15/10.53 This is a problem with some equality
% 10.15/10.53
% 10.15/10.53
% 10.15/10.53
% 10.15/10.53 Options Used:
% 10.15/10.53
% 10.15/10.53 useres = 1
% 10.15/10.53 useparamod = 1
% 10.15/10.53 useeqrefl = 1
% 10.15/10.53 useeqfact = 1
% 10.15/10.53 usefactor = 1
% 10.15/10.53 usesimpsplitting = 0
% 10.15/10.53 usesimpdemod = 5
% 10.15/10.53 usesimpres = 3
% 10.15/10.53
% 10.15/10.53 resimpinuse = 1000
% 10.15/10.53 resimpclauses = 20000
% 10.15/10.53 substype = eqrewr
% 10.15/10.53 backwardsubs = 1
% 10.15/10.53 selectoldest = 5
% 10.15/10.53
% 10.15/10.53 litorderings [0] = split
% 10.15/10.53 litorderings [1] = extend the termordering, first sorting on arguments
% 10.15/10.53
% 10.15/10.53 termordering = kbo
% 10.15/10.53
% 10.15/10.53 litapriori = 0
% 10.15/10.53 termapriori = 1
% 10.15/10.53 litaposteriori = 0
% 10.15/10.53 termaposteriori = 0
% 10.15/10.53 demodaposteriori = 0
% 10.15/10.53 ordereqreflfact = 0
% 10.15/10.53
% 10.15/10.53 litselect = negord
% 10.15/10.53
% 10.15/10.53 maxweight = 15
% 10.15/10.53 maxdepth = 30000
% 10.15/10.53 maxlength = 115
% 10.15/10.53 maxnrvars = 195
% 10.15/10.53 excuselevel = 1
% 10.15/10.53 increasemaxweight = 1
% 10.15/10.53
% 10.15/10.53 maxselected = 10000000
% 10.15/10.53 maxnrclauses = 10000000
% 10.15/10.53
% 10.15/10.53 showgenerated = 0
% 10.15/10.53 showkept = 0
% 10.15/10.53 showselected = 0
% 10.15/10.53 showdeleted = 0
% 10.15/10.53 showresimp = 1
% 10.15/10.53 showstatus = 2000
% 10.15/10.53
% 10.15/10.53 prologoutput = 1
% 10.15/10.53 nrgoals = 5000000
% 10.15/10.53 totalproof = 1
% 10.15/10.53
% 10.15/10.53 Symbols occurring in the translation:
% 10.15/10.53
% 10.15/10.53 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 10.15/10.53 . [1, 2] (w:1, o:31, a:1, s:1, b:0),
% 10.15/10.53 ! [4, 1] (w:0, o:26, a:1, s:1, b:0),
% 10.15/10.53 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 10.15/10.53 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 10.15/10.53 'less_equal' [41, 2] (w:1, o:56, a:1, s:1, b:0),
% 10.15/10.53 zero [42, 0] (w:1, o:14, a:1, s:1, b:0),
% 10.15/10.53 quotient [43, 3] (w:1, o:58, a:1, s:1, b:0),
% 10.15/10.53 identity [50, 0] (w:1, o:21, a:1, s:1, b:0),
% 10.15/10.53 divide [51, 2] (w:1, o:57, a:1, s:1, b:0),
% 10.15/10.53 a [55, 0] (w:1, o:22, a:1, s:1, b:0),
% 10.15/10.53 idQa [56, 0] (w:1, o:23, a:1, s:1, b:0),
% 10.15/10.53 'idQ_idQa' [57, 0] (w:1, o:24, a:1, s:1, b:0),
% 10.15/10.53 'idQ__idQ_idQa' [58, 0] (w:1, o:25, a:1, s:1, b:0).
% 10.15/10.53
% 10.15/10.53
% 10.15/10.53 Starting Search:
% 10.15/10.53
% 10.15/10.53 Resimplifying inuse:
% 10.15/10.53 Done
% 10.15/10.53
% 10.15/10.53
% 10.15/10.53 Intermediate Status:
% 10.15/10.53 Generated: 9447
% 10.15/10.53 Kept: 2005
% 10.15/10.53 Inuse: 149
% 10.15/10.53 Deleted: 43
% 10.15/10.53 Deletedinuse: 7
% 10.15/10.53
% 10.15/10.53 Resimplifying inuse:
% 10.15/10.53 Done
% 10.15/10.53
% 10.15/10.53 Resimplifying inuse:
% 10.15/10.53 Done
% 10.15/10.53
% 10.15/10.53
% 10.15/10.53 Intermediate Status:
% 10.15/10.53 Generated: 24365
% 10.15/10.53 Kept: 4020
% 10.15/10.53 Inuse: 258
% 10.15/10.53 Deleted: 98
% 10.15/10.53 Deletedinuse: 33
% 10.15/10.53
% 10.15/10.53 Resimplifying inuse:
% 10.15/10.53 Done
% 10.15/10.53
% 10.15/10.53 Resimplifying inuse:
% 10.15/10.53 Done
% 10.15/10.53
% 10.15/10.53
% 10.15/10.53 Intermediate Status:
% 10.15/10.53 Generated: 38400
% 10.15/10.53 Kept: 6024
% 10.15/10.53 Inuse: 352
% 10.15/10.53 Deleted: 152
% 10.15/10.53 Deletedinuse: 40
% 10.15/10.53
% 10.15/10.53 Resimplifying inuse:
% 10.15/10.53 Done
% 10.15/10.53
% 10.15/10.53 Resimplifying inuse:
% 10.15/10.53 Done
% 10.15/10.53
% 10.15/10.53
% 10.15/10.53 Intermediate Status:
% 10.15/10.53 Generated: 50656
% 10.15/10.53 Kept: 8033
% 10.15/10.53 Inuse: 427
% 10.15/10.53 Deleted: 274
% 10.15/10.53 Deletedinuse: 94
% 10.15/10.53
% 10.15/10.53 Resimplifying inuse:
% 10.15/10.53 Done
% 10.15/10.53
% 10.15/10.53 Resimplifying inuse:
% 10.15/10.53 Done
% 10.15/10.53
% 10.15/10.53
% 10.15/10.53 Intermediate Status:
% 10.15/10.53 Generated: 62514
% 10.15/10.53 Kept: 10035
% 10.15/10.53 Inuse: 486
% 10.15/10.53 Deleted: 322
% 10.15/10.53 Deletedinuse: 105
% 10.15/10.53
% 10.15/10.53 Resimplifying inuse:
% 10.15/10.53 Done
% 10.15/10.53
% 10.15/10.53 Resimplifying inuse:
% 10.15/10.53 Done
% 10.15/10.53
% 10.15/10.53
% 10.15/10.53 Intermediate Status:
% 10.15/10.53 Generated: 74415
% 10.15/10.53 Kept: 12042
% 10.15/10.53 Inuse: 579
% 10.15/10.53 Deleted: 392
% 10.15/10.53 Deletedinuse: 148
% 10.15/10.53
% 10.15/10.53 Resimplifying inuse:
% 10.15/10.53 Done
% 10.15/10.53
% 10.15/10.53 Resimplifying inuse:
% 10.15/10.53 Done
% 10.15/10.53
% 10.15/10.53
% 10.15/10.53 Intermediate Status:
% 10.15/10.53 Generated: 94989
% 10.15/10.53 Kept: 14875
% 10.15/10.53 Inuse: 662
% 10.15/10.53 Deleted: 478
% 10.15/10.53 Deletedinuse: 179
% 10.15/10.53
% 10.15/10.53 Resimplifying inuse:
% 10.15/10.53 Done
% 10.15/10.53
% 10.15/10.53 Resimplifying inuse:
% 10.15/10.53 Done
% 10.15/10.53
% 10.15/10.53
% 10.15/10.53 Intermediate Status:
% 10.15/10.53 Generated: 106046
% 10.15/10.53 Kept: 16988
% 10.15/10.53 Inuse: 699
% 10.15/10.53 Deleted: 491
% 10.15/10.53 Deletedinuse: 179
% 10.15/10.53
% 10.15/10.53 Resimplifying inuse:
% 10.15/10.53 Done
% 10.15/10.53
% 10.15/10.53 Resimplifying inuse:
% 10.15/10.53 Done
% 10.15/10.53
% 10.15/10.53
% 10.15/10.53 Intermediate Status:
% 10.15/10.53 Generated: 122606
% 10.15/10.53 Kept: 18993
% 10.15/10.53 Inuse: 765
% 10.15/10.53 Deleted: 519
% 10.15/10.53 Deletedinuse: 204
% 10.15/10.53
% 10.15/10.53 Resimplifying inuse:
% 10.15/10.53 Done
% 10.15/10.53
% 10.15/10.53 Resimplifying inuse:
% 10.15/10.53 Done
% 10.15/10.53
% 10.15/10.53 Resimplifying clauses:
% 10.15/10.53 Done
% 10.15/10.53
% 10.15/10.53
% 10.15/10.53 Intermediate Status:
% 10.15/10.53 Generated: 132244
% 10.15/10.53 Kept: 21017
% 10.15/10.53 Inuse: 784
% 10.15/10.53 Deleted: 7654
% 10.15/10.53 Deletedinuse: 204
% 10.15/10.53
% 10.15/10.53 Resimplifying inuse:
% 10.15/10.53 Done
% 10.15/10.53
% 10.15/10.53 Resimplifying inuse:
% 10.15/10.53 Done
% 10.15/10.53
% 10.15/10.53
% 10.15/10.53 Intermediate Status:
% 10.15/10.53 Generated: 148687
% 10.15/10.53 Kept: 23067
% 10.15/10.53 Inuse: 836
% 10.15/10.53 Deleted: 7655
% 10.15/10.53 Deletedinuse: 205
% 10.15/10.53
% 10.15/10.53 Resimplifying inuse:
% 10.15/10.53 Done
% 10.15/10.53
% 10.15/10.53 Resimplifying inuse:
% 10.15/10.53 Done
% 10.15/10.53
% 10.15/10.53
% 10.15/10.53 Intermediate Status:
% 10.15/10.53 Generated: 166159
% 10.15/10.53 Kept: 25095
% 10.15/10.53 Inuse: 896
% 10.15/10.53 Deleted: 7664
% 10.15/10.53 Deletedinuse: 211
% 10.15/10.53
% 10.15/10.53 Resimplifying inuse:
% 10.15/10.53 Done
% 10.15/10.53
% 10.15/10.53 Resimplifying inuse:
% 10.15/10.53 Done
% 10.15/10.53
% 10.15/10.53
% 10.15/10.53 Intermediate Status:
% 10.15/10.53 Generated: 187455
% 10.15/10.53 Kept: 27107
% 10.15/10.53 Inuse: 958
% 10.15/10.53 Deleted: 7665
% 10.15/10.53 Deletedinuse: 211
% 10.15/10.53
% 10.15/10.53 Resimplifying inuse:
% 10.15/10.53 Done
% 10.15/10.53
% 10.15/10.53
% 10.15/10.53 Intermediate Status:
% 10.15/10.53 Generated: 198789
% 10.15/10.53 Kept: 29116
% 10.15/10.53 Inuse: 968
% 10.15/10.53 Deleted: 7665
% 10.15/10.53 Deletedinuse: 211
% 10.15/10.53
% 10.15/10.53 Resimplifying inuse:
% 10.15/10.53 Done
% 10.15/10.53
% 10.15/10.53
% 10.15/10.53 Intermediate Status:
% 10.15/10.53 Generated: 211307
% 10.15/10.53 Kept: 31267
% 10.15/10.53 Inuse: 1002
% 10.15/10.53 Deleted: 7665
% 10.15/10.53 Deletedinuse: 211
% 10.15/10.53
% 10.15/10.53 Resimplifying inuse:
% 10.15/10.53 Done
% 10.15/10.53
% 10.15/10.53 Resimplifying inuse:
% 10.15/10.53 Done
% 10.15/10.53
% 10.15/10.53
% 10.15/10.53 Intermediate Status:
% 10.15/10.53 Generated: 228402
% 10.15/10.53 Kept: 33273
% 10.15/10.53 Inuse: 1048
% 10.15/10.53 Deleted: 7672
% 10.15/10.53 Deletedinuse: 218
% 10.15/10.53
% 10.15/10.53 Resimplifying inuse:
% 10.15/10.53 Done
% 10.15/10.53
% 10.15/10.53 Resimplifying inuse:
% 10.15/10.53 Done
% 10.15/10.53
% 10.15/10.53
% 10.15/10.53 Intermediate Status:
% 10.15/10.53 Generated: 246288
% 10.15/10.53 Kept: 35290
% 10.15/10.53 Inuse: 1101
% 10.15/10.53 Deleted: 7672
% 10.15/10.53 Deletedinuse: 218
% 10.15/10.53
% 10.15/10.53 Resimplifying inuse:
% 10.15/10.53 Done
% 10.15/10.53
% 10.15/10.53 Resimplifying inuse:
% 10.15/10.53 Done
% 10.15/10.53
% 10.15/10.53
% 10.15/10.53 Bliksems!, er is een bewijs:
% 10.15/10.53 % SZS status Unsatisfiable
% 10.15/10.53 % SZS output start Refutation
% 10.15/10.53
% 10.15/10.53 clause( 1, [ ~( quotient( X, Y, zero ) ), 'less_equal'( X, Y ) ] )
% 10.15/10.53 .
% 10.15/10.53 clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y
% 10.15/10.53 ) ] )
% 10.15/10.53 .
% 10.15/10.53 clause( 6, [ 'less_equal'( X, identity ) ] )
% 10.15/10.53 .
% 10.15/10.53 clause( 7, [ quotient( X, Y, divide( X, Y ) ) ] )
% 10.15/10.53 .
% 10.15/10.53 clause( 8, [ ~( quotient( X, Y, Z ) ), ~( quotient( X, Y, T ) ), =( Z, T )
% 10.15/10.53 ] )
% 10.15/10.53 .
% 10.15/10.53 clause( 11, [ quotient( X, X, zero ) ] )
% 10.15/10.53 .
% 10.15/10.53 clause( 13, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, Z ) ),
% 10.15/10.53 'less_equal'( X, Z ) ] )
% 10.15/10.53 .
% 10.15/10.53 clause( 14, [ ~( quotient( X, Y, Z ) ), ~( 'less_equal'( Z, T ) ), ~(
% 10.15/10.53 quotient( X, T, U ) ), 'less_equal'( U, Y ) ] )
% 10.15/10.53 .
% 10.15/10.53 clause( 16, [ ~( 'less_equal'( X, Y ) ), ~( quotient( X, Z, T ) ), ~(
% 10.15/10.53 quotient( Y, Z, U ) ), 'less_equal'( T, U ) ] )
% 10.15/10.53 .
% 10.15/10.53 clause( 17, [ quotient( identity, a, idQa ) ] )
% 10.15/10.53 .
% 10.15/10.53 clause( 18, [ quotient( identity, idQa, 'idQ_idQa' ) ] )
% 10.15/10.53 .
% 10.15/10.53 clause( 19, [ quotient( identity, 'idQ_idQa', 'idQ__idQ_idQa' ) ] )
% 10.15/10.53 .
% 10.15/10.53 clause( 20, [ ~( =( 'idQ__idQ_idQa', idQa ) ) ] )
% 10.15/10.53 .
% 10.15/10.53 clause( 45, [ 'less_equal'( X, X ) ] )
% 10.15/10.53 .
% 10.15/10.53 clause( 221, [ quotient( X, a, idQa ), ~( 'less_equal'( identity, X ) ) ]
% 10.15/10.53 )
% 10.15/10.53 .
% 10.15/10.53 clause( 222, [ quotient( identity, X, idQa ), ~( 'less_equal'( a, X ) ),
% 10.15/10.53 ~( 'less_equal'( X, a ) ) ] )
% 10.15/10.53 .
% 10.15/10.53 clause( 225, [ quotient( X, idQa, 'idQ_idQa' ), ~( 'less_equal'( identity,
% 10.15/10.53 X ) ) ] )
% 10.15/10.53 .
% 10.15/10.53 clause( 228, [ quotient( X, 'idQ_idQa', 'idQ__idQ_idQa' ), ~( 'less_equal'(
% 10.15/10.53 identity, X ) ) ] )
% 10.15/10.53 .
% 10.15/10.53 clause( 237, [ ~( =( X, idQa ) ), ~( 'less_equal'( 'idQ__idQ_idQa', X ) ),
% 10.15/10.53 ~( 'less_equal'( X, 'idQ__idQ_idQa' ) ) ] )
% 10.15/10.53 .
% 10.15/10.53 clause( 240, [ ~( 'less_equal'( 'idQ__idQ_idQa', idQa ) ), ~( 'less_equal'(
% 10.15/10.53 idQa, 'idQ__idQ_idQa' ) ) ] )
% 10.15/10.53 .
% 10.15/10.53 clause( 260, [ ~( quotient( identity, a, X ) ), =( idQa, X ) ] )
% 10.15/10.53 .
% 10.15/10.53 clause( 261, [ ~( quotient( identity, idQa, X ) ), =( 'idQ_idQa', X ) ] )
% 10.15/10.53 .
% 10.15/10.53 clause( 380, [ ~( 'less_equal'( divide( X, Y ), Z ) ), ~( quotient( X, Z, T
% 10.15/10.53 ) ), 'less_equal'( T, Y ) ] )
% 10.15/10.53 .
% 10.15/10.53 clause( 9125, [ =( divide( identity, idQa ), 'idQ_idQa' ) ] )
% 10.15/10.53 .
% 10.15/10.53 clause( 9864, [ ~( 'less_equal'( identity, X ) ), ~( 'less_equal'( X, Y ) )
% 10.15/10.53 , ~( quotient( Y, a, Z ) ), 'less_equal'( idQa, Z ) ] )
% 10.15/10.53 .
% 10.15/10.53 clause( 9894, [ ~( quotient( identity, a, X ) ), 'less_equal'( idQa, X ) ]
% 10.15/10.53 )
% 10.15/10.53 .
% 10.15/10.53 clause( 9897, [ ~( quotient( identity, a, X ) ), ~( quotient( Y, Z, idQa )
% 10.15/10.53 ), ~( quotient( Y, X, T ) ), 'less_equal'( T, Z ) ] )
% 10.15/10.53 .
% 10.15/10.53 clause( 9918, [ ~( quotient( identity, idQa, X ) ), 'less_equal'( X, a ) ]
% 10.15/10.53 )
% 10.15/10.53 .
% 10.15/10.53 clause( 9937, [ 'less_equal'( 'idQ_idQa', a ) ] )
% 10.15/10.53 .
% 10.15/10.53 clause( 9981, [ ~( 'less_equal'( X, 'idQ_idQa' ) ), 'less_equal'( X, a ) ]
% 10.15/10.53 )
% 10.15/10.53 .
% 10.15/10.53 clause( 16059, [ ~( 'less_equal'( identity, X ) ), ~( 'less_equal'( X, Y )
% 10.15/10.53 ), ~( quotient( Y, idQa, Z ) ), 'less_equal'( 'idQ_idQa', Z ) ] )
% 10.15/10.53 .
% 10.15/10.53 clause( 16093, [ ~( quotient( identity, idQa, X ) ), 'less_equal'(
% 10.15/10.53 'idQ_idQa', X ) ] )
% 10.15/10.53 .
% 10.15/10.53 clause( 16096, [ ~( quotient( identity, idQa, X ) ), ~( quotient( Y, Z,
% 10.15/10.53 'idQ_idQa' ) ), ~( quotient( Y, X, T ) ), 'less_equal'( T, Z ) ] )
% 10.15/10.53 .
% 10.15/10.53 clause( 16117, [ ~( quotient( identity, 'idQ_idQa', X ) ), 'less_equal'( X
% 10.15/10.53 , idQa ) ] )
% 10.15/10.53 .
% 10.15/10.53 clause( 16188, [ ~( 'less_equal'( idQa, 'idQ__idQ_idQa' ) ) ] )
% 10.15/10.53 .
% 10.15/10.53 clause( 16232, [ ~( 'less_equal'( X, 'idQ__idQ_idQa' ) ), ~( quotient(
% 10.15/10.53 identity, a, X ) ) ] )
% 10.15/10.53 .
% 10.15/10.53 clause( 17505, [ ~( 'less_equal'( identity, X ) ), ~( 'less_equal'( X, Y )
% 10.15/10.53 ), ~( quotient( Y, 'idQ_idQa', Z ) ), 'less_equal'( 'idQ__idQ_idQa', Z )
% 10.15/10.53 ] )
% 10.15/10.53 .
% 10.15/10.53 clause( 17538, [ ~( quotient( identity, 'idQ_idQa', X ) ), 'less_equal'(
% 10.15/10.53 'idQ__idQ_idQa', X ) ] )
% 10.15/10.53 .
% 10.15/10.53 clause( 23324, [ ~( quotient( identity, 'idQ_idQa', X ) ), ~( quotient( Y,
% 10.15/10.53 Z, 'idQ__idQ_idQa' ) ), ~( quotient( Y, X, T ) ), 'less_equal'( T, Z ) ]
% 10.15/10.53 )
% 10.15/10.53 .
% 10.15/10.53 clause( 23347, [ ~( quotient( identity, 'idQ__idQ_idQa', X ) ),
% 10.15/10.53 'less_equal'( X, 'idQ_idQa' ) ] )
% 10.15/10.53 .
% 10.15/10.53 clause( 23396, [ 'less_equal'( divide( identity, 'idQ__idQ_idQa' ),
% 10.15/10.53 'idQ_idQa' ) ] )
% 10.15/10.53 .
% 10.15/10.53 clause( 23545, [ 'less_equal'( divide( identity, 'idQ__idQ_idQa' ), a ) ]
% 10.15/10.53 )
% 10.15/10.53 .
% 10.15/10.53 clause( 36945, [ ~( quotient( identity, a, X ) ) ] )
% 10.15/10.53 .
% 10.15/10.53 clause( 37212, [] )
% 10.15/10.53 .
% 10.15/10.53
% 10.15/10.53
% 10.15/10.53 % SZS output end Refutation
% 10.15/10.53 found a proof!
% 10.15/10.53
% 10.15/10.53 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 10.15/10.53
% 10.15/10.53 initialclauses(
% 10.15/10.53 [ clause( 37214, [ ~( 'less_equal'( X, Y ) ), quotient( X, Y, zero ) ] )
% 10.15/10.53 , clause( 37215, [ ~( quotient( X, Y, zero ) ), 'less_equal'( X, Y ) ] )
% 10.15/10.53 , clause( 37216, [ ~( quotient( X, Y, Z ) ), 'less_equal'( Z, X ) ] )
% 10.15/10.53 , clause( 37217, [ ~( quotient( X, Y, Z ) ), ~( quotient( Y, T, U ) ), ~(
% 10.15/10.53 quotient( X, T, W ) ), ~( quotient( W, U, V0 ) ), ~( quotient( Z, T, V1 )
% 10.15/10.53 ), 'less_equal'( V0, V1 ) ] )
% 10.15/10.53 , clause( 37218, [ 'less_equal'( zero, X ) ] )
% 10.15/10.53 , clause( 37219, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ),
% 10.15/10.53 =( X, Y ) ] )
% 10.15/10.53 , clause( 37220, [ 'less_equal'( X, identity ) ] )
% 10.15/10.53 , clause( 37221, [ quotient( X, Y, divide( X, Y ) ) ] )
% 10.15/10.53 , clause( 37222, [ ~( quotient( X, Y, Z ) ), ~( quotient( X, Y, T ) ), =( Z
% 10.15/10.53 , T ) ] )
% 10.15/10.53 , clause( 37223, [ quotient( X, identity, zero ) ] )
% 10.15/10.53 , clause( 37224, [ quotient( zero, X, zero ) ] )
% 10.15/10.53 , clause( 37225, [ quotient( X, X, zero ) ] )
% 10.15/10.53 , clause( 37226, [ quotient( X, zero, X ) ] )
% 10.15/10.53 , clause( 37227, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, Z ) ),
% 10.15/10.53 'less_equal'( X, Z ) ] )
% 10.15/10.53 , clause( 37228, [ ~( quotient( X, Y, Z ) ), ~( 'less_equal'( Z, T ) ), ~(
% 10.15/10.53 quotient( X, T, U ) ), 'less_equal'( U, Y ) ] )
% 10.15/10.53 , clause( 37229, [ ~( 'less_equal'( X, Y ) ), ~( quotient( Z, Y, T ) ), ~(
% 10.15/10.53 quotient( Z, X, U ) ), 'less_equal'( T, U ) ] )
% 10.15/10.53 , clause( 37230, [ ~( 'less_equal'( X, Y ) ), ~( quotient( X, Z, T ) ), ~(
% 10.15/10.53 quotient( Y, Z, U ) ), 'less_equal'( T, U ) ] )
% 10.15/10.53 , clause( 37231, [ quotient( identity, a, idQa ) ] )
% 10.15/10.53 , clause( 37232, [ quotient( identity, idQa, 'idQ_idQa' ) ] )
% 10.15/10.53 , clause( 37233, [ quotient( identity, 'idQ_idQa', 'idQ__idQ_idQa' ) ] )
% 10.15/10.53 , clause( 37234, [ ~( =( idQa, 'idQ__idQ_idQa' ) ) ] )
% 10.15/10.53 ] ).
% 10.15/10.53
% 10.15/10.53
% 10.15/10.53
% 10.15/10.53 subsumption(
% 10.15/10.53 clause( 1, [ ~( quotient( X, Y, zero ) ), 'less_equal'( X, Y ) ] )
% 10.15/10.53 , clause( 37215, [ ~( quotient( X, Y, zero ) ), 'less_equal'( X, Y ) ] )
% 10.15/10.53 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 10.15/10.53 ), ==>( 1, 1 )] ) ).Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------