TSTP Solution File: HEN010-7 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : HEN010-7 : 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 12:47:12 EDT 2022
% Result : Unsatisfiable 11.32s 11.74s
% Output : Refutation 11.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : HEN010-7 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n026.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 13:32:19 EDT 2022
% 0.13/0.34 % CPUTime :
% 11.32/11.73 *** allocated 10000 integers for termspace/termends
% 11.32/11.73 *** allocated 10000 integers for clauses
% 11.32/11.73 *** allocated 10000 integers for justifications
% 11.32/11.73 Bliksem 1.12
% 11.32/11.73
% 11.32/11.73
% 11.32/11.73 Automatic Strategy Selection
% 11.32/11.73
% 11.32/11.73 Clauses:
% 11.32/11.73 [
% 11.32/11.73 [ ~( 'less_equal'( X, Y ) ), quotient( X, Y, zero ) ],
% 11.32/11.73 [ ~( quotient( X, Y, zero ) ), 'less_equal'( X, Y ) ],
% 11.32/11.73 [ ~( quotient( X, Y, Z ) ), 'less_equal'( Z, X ) ],
% 11.32/11.73 [ ~( quotient( X, Y, Z ) ), ~( quotient( Y, T, U ) ), ~( quotient( X, T
% 11.32/11.73 , W ) ), ~( quotient( W, U, V0 ) ), ~( quotient( Z, T, V1 ) ),
% 11.32/11.73 'less_equal'( V0, V1 ) ],
% 11.32/11.73 [ 'less_equal'( zero, X ) ],
% 11.32/11.73 [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y ) ],
% 11.32/11.73 [ 'less_equal'( X, identity ) ],
% 11.32/11.73 [ quotient( X, Y, divide( X, Y ) ) ],
% 11.32/11.73 [ ~( quotient( X, Y, Z ) ), ~( quotient( X, Y, T ) ), =( Z, T ) ],
% 11.32/11.73 [ quotient( X, identity, zero ) ],
% 11.32/11.73 [ quotient( zero, X, zero ) ],
% 11.32/11.73 [ quotient( X, X, zero ) ],
% 11.32/11.73 [ quotient( X, zero, X ) ],
% 11.32/11.73 [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, Z ) ), 'less_equal'( X
% 11.32/11.73 , Z ) ],
% 11.32/11.73 [ ~( quotient( X, Y, Z ) ), ~( 'less_equal'( Z, T ) ), ~( quotient( X, T
% 11.32/11.73 , U ) ), 'less_equal'( U, Y ) ],
% 11.32/11.73 [ ~( 'less_equal'( X, Y ) ), ~( quotient( Z, Y, T ) ), ~( quotient( Z, X
% 11.32/11.73 , U ) ), 'less_equal'( T, U ) ],
% 11.32/11.73 [ ~( 'less_equal'( X, Y ) ), ~( quotient( X, Z, T ) ), ~( quotient( Y, Z
% 11.32/11.73 , U ) ), 'less_equal'( T, U ) ],
% 11.32/11.73 [ quotient( identity, a, idQa ) ],
% 11.32/11.73 [ quotient( identity, idQa, 'idQ_idQa' ) ],
% 11.32/11.73 [ quotient( idQa, 'idQ_idQa', 'idQa_Q__idQ_idQa' ) ],
% 11.32/11.73 [ ~( =( idQa, 'idQa_Q__idQ_idQa' ) ) ]
% 11.32/11.73 ] .
% 11.32/11.73
% 11.32/11.73
% 11.32/11.73 percentage equality = 0.068182, percentage horn = 1.000000
% 11.32/11.73 This is a problem with some equality
% 11.32/11.73
% 11.32/11.73
% 11.32/11.73
% 11.32/11.73 Options Used:
% 11.32/11.73
% 11.32/11.73 useres = 1
% 11.32/11.73 useparamod = 1
% 11.32/11.73 useeqrefl = 1
% 11.32/11.73 useeqfact = 1
% 11.32/11.73 usefactor = 1
% 11.32/11.73 usesimpsplitting = 0
% 11.32/11.73 usesimpdemod = 5
% 11.32/11.73 usesimpres = 3
% 11.32/11.73
% 11.32/11.73 resimpinuse = 1000
% 11.32/11.73 resimpclauses = 20000
% 11.32/11.73 substype = eqrewr
% 11.32/11.73 backwardsubs = 1
% 11.32/11.73 selectoldest = 5
% 11.32/11.73
% 11.32/11.73 litorderings [0] = split
% 11.32/11.73 litorderings [1] = extend the termordering, first sorting on arguments
% 11.32/11.73
% 11.32/11.73 termordering = kbo
% 11.32/11.74
% 11.32/11.74 litapriori = 0
% 11.32/11.74 termapriori = 1
% 11.32/11.74 litaposteriori = 0
% 11.32/11.74 termaposteriori = 0
% 11.32/11.74 demodaposteriori = 0
% 11.32/11.74 ordereqreflfact = 0
% 11.32/11.74
% 11.32/11.74 litselect = negord
% 11.32/11.74
% 11.32/11.74 maxweight = 15
% 11.32/11.74 maxdepth = 30000
% 11.32/11.74 maxlength = 115
% 11.32/11.74 maxnrvars = 195
% 11.32/11.74 excuselevel = 1
% 11.32/11.74 increasemaxweight = 1
% 11.32/11.74
% 11.32/11.74 maxselected = 10000000
% 11.32/11.74 maxnrclauses = 10000000
% 11.32/11.74
% 11.32/11.74 showgenerated = 0
% 11.32/11.74 showkept = 0
% 11.32/11.74 showselected = 0
% 11.32/11.74 showdeleted = 0
% 11.32/11.74 showresimp = 1
% 11.32/11.74 showstatus = 2000
% 11.32/11.74
% 11.32/11.74 prologoutput = 1
% 11.32/11.74 nrgoals = 5000000
% 11.32/11.74 totalproof = 1
% 11.32/11.74
% 11.32/11.74 Symbols occurring in the translation:
% 11.32/11.74
% 11.32/11.74 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 11.32/11.74 . [1, 2] (w:1, o:31, a:1, s:1, b:0),
% 11.32/11.74 ! [4, 1] (w:0, o:26, a:1, s:1, b:0),
% 11.32/11.74 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 11.32/11.74 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 11.32/11.74 'less_equal' [41, 2] (w:1, o:56, a:1, s:1, b:0),
% 11.32/11.74 zero [42, 0] (w:1, o:14, a:1, s:1, b:0),
% 11.32/11.74 quotient [43, 3] (w:1, o:58, a:1, s:1, b:0),
% 11.32/11.74 identity [50, 0] (w:1, o:21, a:1, s:1, b:0),
% 11.32/11.74 divide [51, 2] (w:1, o:57, a:1, s:1, b:0),
% 11.32/11.74 a [55, 0] (w:1, o:22, a:1, s:1, b:0),
% 11.32/11.74 idQa [56, 0] (w:1, o:23, a:1, s:1, b:0),
% 11.32/11.74 'idQ_idQa' [57, 0] (w:1, o:24, a:1, s:1, b:0),
% 11.32/11.74 'idQa_Q__idQ_idQa' [58, 0] (w:1, o:25, a:1, s:1, b:0).
% 11.32/11.74
% 11.32/11.74
% 11.32/11.74 Starting Search:
% 11.32/11.74
% 11.32/11.74 Resimplifying inuse:
% 11.32/11.74 Done
% 11.32/11.74
% 11.32/11.74
% 11.32/11.74 Intermediate Status:
% 11.32/11.74 Generated: 9337
% 11.32/11.74 Kept: 2008
% 11.32/11.74 Inuse: 145
% 11.32/11.74 Deleted: 25
% 11.32/11.74 Deletedinuse: 3
% 11.32/11.74
% 11.32/11.74 Resimplifying inuse:
% 11.32/11.74 Done
% 11.32/11.74
% 11.32/11.74 Resimplifying inuse:
% 11.32/11.74 Done
% 11.32/11.74
% 11.32/11.74
% 11.32/11.74 Intermediate Status:
% 11.32/11.74 Generated: 27637
% 11.32/11.74 Kept: 4027
% 11.32/11.74 Inuse: 291
% 11.32/11.74 Deleted: 93
% 11.32/11.74 Deletedinuse: 26
% 11.32/11.74
% 11.32/11.74 Resimplifying inuse:
% 11.32/11.74 Done
% 11.32/11.74
% 11.32/11.74 Resimplifying inuse:
% 11.32/11.74 Done
% 11.32/11.74
% 11.32/11.74
% 11.32/11.74 Intermediate Status:
% 11.32/11.74 Generated: 41231
% 11.32/11.74 Kept: 6034
% 11.32/11.74 Inuse: 382
% 11.32/11.74 Deleted: 142
% 11.32/11.74 Deletedinuse: 32
% 11.32/11.74
% 11.32/11.74 Resimplifying inuse:
% 11.32/11.74 Done
% 11.32/11.74
% 11.32/11.74 Resimplifying inuse:
% 11.32/11.74 Done
% 11.32/11.74
% 11.32/11.74
% 11.32/11.74 Intermediate Status:
% 11.32/11.74 Generated: 54970
% 11.32/11.74 Kept: 8042
% 11.32/11.74 Inuse: 457
% 11.32/11.74 Deleted: 197
% 11.32/11.74 Deletedinuse: 41
% 11.32/11.74
% 11.32/11.74 Resimplifying inuse:
% 11.32/11.74 Done
% 11.32/11.74
% 11.32/11.74 Resimplifying inuse:
% 11.32/11.74 Done
% 11.32/11.74
% 11.32/11.74
% 11.32/11.74 Intermediate Status:
% 11.32/11.74 Generated: 68699
% 11.32/11.74 Kept: 10043
% 11.32/11.74 Inuse: 519
% 11.32/11.74 Deleted: 235
% 11.32/11.74 Deletedinuse: 60
% 11.32/11.74
% 11.32/11.74 Resimplifying inuse:
% 11.32/11.74 Done
% 11.32/11.74
% 11.32/11.74 Resimplifying inuse:
% 11.32/11.74 Done
% 11.32/11.74
% 11.32/11.74
% 11.32/11.74 Intermediate Status:
% 11.32/11.74 Generated: 83174
% 11.32/11.74 Kept: 12061
% 11.32/11.74 Inuse: 613
% 11.32/11.74 Deleted: 323
% 11.32/11.74 Deletedinuse: 96
% 11.32/11.74
% 11.32/11.74 Resimplifying inuse:
% 11.32/11.74 Done
% 11.32/11.74
% 11.32/11.74 Resimplifying inuse:
% 11.32/11.74 Done
% 11.32/11.74
% 11.32/11.74
% 11.32/11.74 Intermediate Status:
% 11.32/11.74 Generated: 103735
% 11.32/11.74 Kept: 15050
% 11.32/11.74 Inuse: 695
% 11.32/11.74 Deleted: 382
% 11.32/11.74 Deletedinuse: 121
% 11.32/11.74
% 11.32/11.74 Resimplifying inuse:
% 11.32/11.74 Done
% 11.32/11.74
% 11.32/11.74 Resimplifying inuse:
% 11.32/11.74 Done
% 11.32/11.74
% 11.32/11.74
% 11.32/11.74 Intermediate Status:
% 11.32/11.74 Generated: 114606
% 11.32/11.74 Kept: 17056
% 11.32/11.74 Inuse: 721
% 11.32/11.74 Deleted: 407
% 11.32/11.74 Deletedinuse: 121
% 11.32/11.74
% 11.32/11.74 Resimplifying inuse:
% 11.32/11.74 Done
% 11.32/11.74
% 11.32/11.74 Resimplifying inuse:
% 11.32/11.74 Done
% 11.32/11.74
% 11.32/11.74
% 11.32/11.74 Intermediate Status:
% 11.32/11.74 Generated: 133363
% 11.32/11.74 Kept: 20179
% 11.32/11.74 Inuse: 765
% 11.32/11.74 Deleted: 460
% 11.32/11.74 Deletedinuse: 124
% 11.32/11.74
% 11.32/11.74 Resimplifying inuse:
% 11.32/11.74 Done
% 11.32/11.74
% 11.32/11.74 Resimplifying clauses:
% 11.32/11.74 Done
% 11.32/11.74
% 11.32/11.74 Resimplifying inuse:
% 11.32/11.74 Done
% 11.32/11.74
% 11.32/11.74
% 11.32/11.74 Intermediate Status:
% 11.32/11.74 Generated: 146791
% 11.32/11.74 Kept: 22180
% 11.32/11.74 Inuse: 811
% 11.32/11.74 Deleted: 4890
% 11.32/11.74 Deletedinuse: 124
% 11.32/11.74
% 11.32/11.74 Resimplifying inuse:
% 11.32/11.74 Done
% 11.32/11.74
% 11.32/11.74 Resimplifying inuse:
% 11.32/11.74 Done
% 11.32/11.74
% 11.32/11.74
% 11.32/11.74 Intermediate Status:
% 11.32/11.74 Generated: 179819
% 11.32/11.74 Kept: 24181
% 11.32/11.74 Inuse: 908
% 11.32/11.74 Deleted: 4890
% 11.32/11.74 Deletedinuse: 124
% 11.32/11.74
% 11.32/11.74 Resimplifying inuse:
% 11.32/11.74 Done
% 11.32/11.74
% 11.32/11.74 Resimplifying inuse:
% 11.32/11.74 Done
% 11.32/11.74
% 11.32/11.74
% 11.32/11.74 Intermediate Status:
% 11.32/11.74 Generated: 217173
% 11.32/11.74 Kept: 27274
% 11.32/11.74 Inuse: 984
% 11.32/11.74 Deleted: 4894
% 11.32/11.74 Deletedinuse: 127
% 11.32/11.74
% 11.32/11.74 Resimplifying inuse:
% 11.32/11.74 Done
% 11.32/11.74
% 11.32/11.74 Resimplifying inuse:
% 11.32/11.74 Done
% 11.32/11.74
% 11.32/11.74
% 11.32/11.74 Intermediate Status:
% 11.32/11.74 Generated: 230772
% 11.32/11.74 Kept: 29297
% 11.32/11.74 Inuse: 1020
% 11.32/11.74 Deleted: 4897
% 11.32/11.74 Deletedinuse: 130
% 11.32/11.74
% 11.32/11.74 Resimplifying inuse:
% 11.32/11.74 Done
% 11.32/11.74
% 11.32/11.74 Resimplifying inuse:
% 11.32/11.74 Done
% 11.32/11.74
% 11.32/11.74
% 11.32/11.74 Intermediate Status:
% 11.32/11.74 Generated: 263105
% 11.32/11.74 Kept: 31324
% 11.32/11.74 Inuse: 1094
% 11.32/11.74 Deleted: 4902
% 11.32/11.74 Deletedinuse: 134
% 11.32/11.74
% 11.32/11.74 Resimplifying inuse:
% 11.32/11.74 Done
% 11.32/11.74
% 11.32/11.74 Resimplifying inuse:
% 11.32/11.74 Done
% 11.32/11.74
% 11.32/11.74
% 11.32/11.74 Intermediate Status:
% 11.32/11.74 Generated: 282444
% 11.32/11.74 Kept: 33339
% 11.32/11.74 Inuse: 1135
% 11.32/11.74 Deleted: 4903
% 11.32/11.74 Deletedinuse: 135
% 11.32/11.74
% 11.32/11.74 Resimplifying inuse:
% 11.32/11.74 Done
% 11.32/11.74
% 11.32/11.74 Resimplifying inuse:
% 11.32/11.74 Done
% 11.32/11.74
% 11.32/11.74
% 11.32/11.74 Bliksems!, er is een bewijs:
% 11.32/11.74 % SZS status Unsatisfiable
% 11.32/11.74 % SZS output start Refutation
% 11.32/11.74
% 11.32/11.74 clause( 1, [ ~( quotient( X, Y, zero ) ), 'less_equal'( X, Y ) ] )
% 11.32/11.74 .
% 11.32/11.74 clause( 2, [ ~( quotient( X, Y, Z ) ), 'less_equal'( Z, X ) ] )
% 11.32/11.74 .
% 11.32/11.74 clause( 3, [ ~( quotient( X, Y, Z ) ), ~( quotient( Y, T, U ) ), ~(
% 11.32/11.74 quotient( X, T, W ) ), ~( quotient( W, U, V0 ) ), ~( quotient( Z, T, V1 )
% 11.32/11.74 ), 'less_equal'( V0, V1 ) ] )
% 11.32/11.74 .
% 11.32/11.74 clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y
% 11.32/11.74 ) ] )
% 11.32/11.74 .
% 11.32/11.74 clause( 6, [ 'less_equal'( X, identity ) ] )
% 11.32/11.74 .
% 11.32/11.74 clause( 7, [ quotient( X, Y, divide( X, Y ) ) ] )
% 11.32/11.74 .
% 11.32/11.74 clause( 8, [ ~( quotient( X, Y, Z ) ), ~( quotient( X, Y, T ) ), =( Z, T )
% 11.32/11.74 ] )
% 11.32/11.74 .
% 11.32/11.74 clause( 11, [ quotient( X, X, zero ) ] )
% 11.32/11.74 .
% 11.32/11.74 clause( 12, [ quotient( X, zero, X ) ] )
% 11.32/11.74 .
% 11.32/11.74 clause( 13, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, Z ) ),
% 11.32/11.74 'less_equal'( X, Z ) ] )
% 11.32/11.74 .
% 11.32/11.74 clause( 14, [ ~( quotient( X, Y, Z ) ), ~( 'less_equal'( Z, T ) ), ~(
% 11.32/11.74 quotient( X, T, U ) ), 'less_equal'( U, Y ) ] )
% 11.32/11.74 .
% 11.32/11.74 clause( 16, [ ~( 'less_equal'( X, Y ) ), ~( quotient( X, Z, T ) ), ~(
% 11.32/11.74 quotient( Y, Z, U ) ), 'less_equal'( T, U ) ] )
% 11.32/11.74 .
% 11.32/11.74 clause( 17, [ quotient( identity, a, idQa ) ] )
% 11.32/11.74 .
% 11.32/11.74 clause( 18, [ quotient( identity, idQa, 'idQ_idQa' ) ] )
% 11.32/11.74 .
% 11.32/11.74 clause( 19, [ quotient( idQa, 'idQ_idQa', 'idQa_Q__idQ_idQa' ) ] )
% 11.32/11.74 .
% 11.32/11.74 clause( 20, [ ~( =( 'idQa_Q__idQ_idQa', idQa ) ) ] )
% 11.32/11.74 .
% 11.32/11.74 clause( 45, [ 'less_equal'( X, X ) ] )
% 11.32/11.74 .
% 11.32/11.74 clause( 46, [ 'less_equal'( divide( X, Y ), X ) ] )
% 11.32/11.74 .
% 11.32/11.74 clause( 47, [ 'less_equal'( 'idQa_Q__idQ_idQa', idQa ) ] )
% 11.32/11.74 .
% 11.32/11.74 clause( 89, [ ~( quotient( X, Y, Z ) ), ~( quotient( Y, T, zero ) ), ~(
% 11.32/11.74 quotient( X, T, U ) ), ~( quotient( Z, T, W ) ), 'less_equal'( U, W ) ]
% 11.32/11.74 )
% 11.32/11.74 .
% 11.32/11.74 clause( 95, [ ~( quotient( X, Y, Z ) ), ~( quotient( Z, Y, T ) ),
% 11.32/11.74 'less_equal'( Z, T ) ] )
% 11.32/11.74 .
% 11.32/11.74 clause( 208, [ ~( 'less_equal'( idQa, 'idQa_Q__idQ_idQa' ) ), =(
% 11.32/11.74 'idQa_Q__idQ_idQa', idQa ) ] )
% 11.32/11.74 .
% 11.32/11.74 clause( 223, [ quotient( X, a, idQa ), ~( 'less_equal'( identity, X ) ) ]
% 11.32/11.74 )
% 11.32/11.74 .
% 11.32/11.74 clause( 239, [ ~( =( X, idQa ) ), ~( 'less_equal'( 'idQa_Q__idQ_idQa', X )
% 11.32/11.74 ), ~( 'less_equal'( X, 'idQa_Q__idQ_idQa' ) ) ] )
% 11.32/11.74 .
% 11.32/11.74 clause( 242, [ ~( 'less_equal'( idQa, 'idQa_Q__idQ_idQa' ) ) ] )
% 11.32/11.74 .
% 11.32/11.74 clause( 263, [ ~( quotient( identity, idQa, X ) ), =( 'idQ_idQa', X ) ] )
% 11.32/11.74 .
% 11.32/11.74 clause( 367, [ ~( quotient( X, Y, Z ) ), ~( quotient( X, T, U ) ),
% 11.32/11.74 'less_equal'( U, Y ), ~( 'less_equal'( Z, W ) ), ~( 'less_equal'( W, T )
% 11.32/11.74 ) ] )
% 11.32/11.74 .
% 11.32/11.74 clause( 373, [ ~( quotient( X, 'idQa_Q__idQ_idQa', Y ) ), ~( 'less_equal'(
% 11.32/11.74 Y, Z ) ), ~( quotient( X, Z, idQa ) ) ] )
% 11.32/11.74 .
% 11.32/11.74 clause( 4782, [ ~( quotient( idQa, a, X ) ), 'less_equal'( idQa, X ) ] )
% 11.32/11.74 .
% 11.32/11.74 clause( 4942, [ 'less_equal'( idQa, divide( idQa, a ) ) ] )
% 11.32/11.74 .
% 11.32/11.74 clause( 5021, [ =( divide( idQa, a ), idQa ) ] )
% 11.32/11.74 .
% 11.32/11.74 clause( 5038, [ quotient( idQa, a, idQa ) ] )
% 11.32/11.74 .
% 11.32/11.74 clause( 8506, [ =( divide( identity, idQa ), 'idQ_idQa' ) ] )
% 11.32/11.74 .
% 11.32/11.74 clause( 9420, [ ~( 'less_equal'( identity, X ) ), ~( 'less_equal'( X, Y ) )
% 11.32/11.74 , ~( quotient( Y, a, Z ) ), 'less_equal'( idQa, Z ) ] )
% 11.32/11.74 .
% 11.32/11.74 clause( 9448, [ ~( quotient( identity, a, X ) ), 'less_equal'( idQa, X ) ]
% 11.32/11.74 )
% 11.32/11.74 .
% 11.32/11.74 clause( 9451, [ ~( quotient( identity, a, X ) ), ~( quotient( Y, Z, idQa )
% 11.32/11.74 ), ~( quotient( Y, X, T ) ), 'less_equal'( T, Z ) ] )
% 11.32/11.74 .
% 11.32/11.74 clause( 9470, [ ~( quotient( identity, idQa, X ) ), 'less_equal'( X, a ) ]
% 11.32/11.74 )
% 11.32/11.74 .
% 11.32/11.74 clause( 9493, [ 'less_equal'( 'idQ_idQa', a ) ] )
% 11.32/11.74 .
% 11.32/11.74 clause( 9548, [ ~( 'less_equal'( X, 'idQ_idQa' ) ), 'less_equal'( X, a ) ]
% 11.32/11.74 )
% 11.32/11.74 .
% 11.32/11.74 clause( 31227, [ ~( quotient( idQa, X, Y ) ), 'less_equal'( Y, 'idQ_idQa' )
% 11.32/11.74 , ~( 'less_equal'( 'idQa_Q__idQ_idQa', Z ) ), ~( 'less_equal'( Z, X ) ) ]
% 11.32/11.74 )
% 11.32/11.74 .
% 11.32/11.74 clause( 31229, [ ~( quotient( idQa, 'idQa_Q__idQ_idQa', X ) ), 'less_equal'(
% 11.32/11.74 X, 'idQ_idQa' ) ] )
% 11.32/11.74 .
% 11.32/11.74 clause( 32714, [ ~( quotient( idQa, 'idQa_Q__idQ_idQa', X ) ), ~(
% 11.32/11.74 'less_equal'( X, a ) ) ] )
% 11.32/11.74 .
% 11.32/11.74 clause( 34417, [ ~( quotient( idQa, 'idQa_Q__idQ_idQa', X ) ) ] )
% 11.32/11.74 .
% 11.32/11.74 clause( 34548, [] )
% 11.32/11.74 .
% 11.32/11.74
% 11.32/11.74
% 11.32/11.74 % SZS output end Refutation
% 11.32/11.74 found a proof!
% 11.32/11.74
% 11.32/11.74 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 11.32/11.74
% 11.32/11.74 initialclauses(
% 11.32/11.74 [ clause( 34550, [ ~( 'less_equal'( X, Y ) ), quotient( X, Y, zero ) ] )
% 11.32/11.74 , clause( 34551, [ ~( quotient( X, Y, zero ) ), 'less_equal'( X, Y ) ] )
% 11.32/11.74 , clause( 34552, [ ~( quotient( X, Y, Z ) ), 'less_equal'( Z, X ) ] )
% 11.32/11.74 , clause( 34553, [ ~( quotient( X, Y, Z ) ), ~( quotient( Y, T, U ) ), ~(
% 11.32/11.74 quotient( X, T, W ) ), ~( quotient( W, U, V0 ) ), ~( quotient( Z, T, V1 )
% 11.32/11.74 ), 'less_equal'( V0, V1 ) ] )
% 11.32/11.74 , clause( 34554, [ 'less_equal'( zero, X ) ] )
% 11.32/11.74 , clause( 34555, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ),
% 11.32/11.74 =( X, Y ) ] )
% 11.32/11.74 , clause( 34556, [ 'less_equal'( X, identity ) ] )
% 11.32/11.74 , clause( 34557, [ quotient( X, Y, divide( X, Y ) ) ] )
% 11.32/11.74 , clause( 34558, [ ~( quotient( X, Y, Z ) ), ~( quotient( X, Y, T ) ), =( Z
% 11.32/11.74 , T ) ] )
% 11.32/11.74 , clause( 34559, [ quotient( X, identity, zero ) ] )
% 11.32/11.74 , clause( 34560, [ quotient( zero, X, zero ) ] )
% 11.32/11.74 , clause( 34561, [ quotient( X, X, zero ) ] )
% 11.32/11.74 , clause( 34562, [ quotient( X, zero, X ) ] )
% 11.32/11.74 , clause( 34563, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, Z ) ),
% 11.32/11.74 'less_equal'( X, Z ) ] )
% 11.32/11.74 , clause( 34564, [ ~( quotient( X, Y, Z ) ), ~( 'less_equal'( Z, T ) ), ~(
% 11.32/11.74 quotient( X, T, U ) ), 'less_equal'( U, Y ) ] )
% 11.32/11.74 , clause( 34565, [ ~( 'less_equal'( X, Y ) ), ~( quotient( Z, Y, T ) ), ~(
% 11.32/11.74 quotient( Z, X, U ) ), 'less_equal'( T, U ) ] )
% 11.32/11.74 , clause( 34566, [ ~( 'less_equal'( X, Y ) ), ~( quotient( X, Z, T ) ), ~(
% 11.32/11.74 quotient( Y, Z, U ) ), 'less_equal'( T, U ) ] )
% 11.32/11.74 , clause( 34567, [ quotient( identity, a, idQa ) ] )
% 11.32/11.74 , clause( 34568, [ quotient( identity, idQa, 'idQ_idQa' ) ] )
% 11.32/11.74 , clause( 34569, [ quotient( idQa, 'idQ_idQa', 'idQa_Q__idQ_idQa' ) ] )
% 11.32/11.74 , clause( 34570, [ ~( =( idQa, 'idQa_Q__idQ_idQa' ) ) ] )
% 11.32/11.74 ] ).
% 11.32/11.74
% 11.32/11.74
% 11.32/11.74
% 11.32/11.74 subsumption(
% 11.32/11.74 clause( 1, [ ~( quotient( X, Y, zero ) ), 'less_equal'( X, Y ) ] )
% 11.32/11.74 , clause( 34551, [ ~( quotient( X, Y, zero ) ), 'less_equal'( X, Y ) ] )
% 11.32/11.74 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 11.32/11.74 ), ==>( 1, 1 )] ) ).
% 11.32/11.74
% 11.32/11.74
% 11.32/11.74 subsumption(
% 11.32/11.74 clause( 2, [ ~( quotient( X, Y, Z ) ), 'less_equal'( Z, X ) ] )
% 11.32/11.74 , clause( 34552, [ ~( quotient( X, Y, Z ) ), 'less_equal'( Z, X ) ] )
% 11.32/11.74 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 11.32/11.74 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 11.32/11.74
% 11.32/11.74
% 11.32/11.74 subsumption(
% 11.32/11.74 clause( 3, [ ~( quotient( X, Y, Z ) ), ~( quotient( Y, T, U ) ), ~(
% 11.32/11.74 quotient( X, T, W ) ), ~( quotient( W, U, V0 ) ), ~( quotient( Z, T, V1 )
% 11.32/11.74 ), 'less_equal'( V0, V1 ) ] )
% 11.32/11.74 , clause( 34553, [ ~( quotient( X, Y, Z ) ), ~( quotient( Y, T, U ) ), ~(
% 11.32/11.74 quotient( X, T, W ) ), ~( quotient( W, U, V0 ) ), ~( quotient( Z, T, V1 )
% 11.32/11.74 ), 'less_equal'( V0, V1 ) ] )
% 11.32/11.74 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 11.32/11.74 , U ), :=( W, W ), :=( V0, V0 ), :=( V1, V1 )] ), permutation( 0, [ ==>(
% 11.32/11.74 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 ), ==>( 5, 5 )] )
% 11.32/11.74 ).
% 11.32/11.74
% 11.32/11.74
% 11.32/11.74 subsumption(
% 11.32/11.74 clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y
% 11.32/11.74 ) ] )
% 11.32/11.74 , clause( 34555, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ),
% 11.32/11.74 =( X, Y ) ] )
% 11.32/11.74 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 11.32/11.74 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 11.32/11.74
% 11.32/11.74
% 11.32/11.74 subsumption(
% 11.32/11.74 clause( 6, [ 'less_equal'( X, identity ) ] )
% 11.32/11.74 , clause( 34556, [ 'less_equal'( X, identity ) ] )
% 11.32/11.74 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 11.32/11.74
% 11.32/11.74
% 11.32/11.74 subsumption(
% 11.32/11.74 clause( 7, [ quotient( X, Y, divide( X, Y ) ) ] )
% 11.32/11.74 , clause( 34557, [ quotient( X, Y, divide( X, Y ) ) ] )
% 11.32/11.74 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 11.32/11.74 )] ) ).
% 11.32/11.74
% 11.32/11.74
% 11.32/11.74 subsumption(
% 11.32/11.74 clause( 8, [ ~( quotient( X, Y, Z ) ), ~( quotient( X, Y, T ) ), =( Z, T )
% 11.32/11.74 ] )
% 11.32/11.74 , clause( 34558, [ ~( quotient( X, Y, Z ) ), ~( quotient( X, Y, T ) ), =( Z
% 11.32/11.74 , T ) ] )
% 11.32/11.74 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 11.32/11.74 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 11.32/11.74
% 11.32/11.74
% 11.32/11.74 subsumption(
% 11.32/11.74 clause( 11, [ quotient( X, X, zero ) ] )
% 11.32/11.74 , clause( 34561, [ quotient( X, X, zero ) ] )
% 11.32/11.74 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 11.32/11.74
% 11.32/11.74
% 11.32/11.74 subsumption(
% 11.32/11.74 clause( 12, [ quotient( X, zero, X ) ] )
% 11.32/11.74 , clause( 34562, [ quotient( X, zero, X ) ] )
% 11.32/11.74 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 11.32/11.74
% 11.32/11.74
% 11.32/11.74 subsumption(
% 11.32/11.74 clause( 13, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, Z ) ),
% 11.32/11.74 'less_equal'( X, Z ) ] )
% 11.32/11.74 , clause( 34563, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, Z ) ),
% 11.32/11.74 'less_equal'( X, Z ) ] )
% 11.32/11.74 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 11.32/11.74 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 11.32/11.74
% 11.32/11.74
% 11.32/11.74 subsumption(
% 11.32/11.74 clause( 14, [ ~( quotient( X, Y, Z ) ), ~( 'less_equal'( Z, T ) ), ~(
% 11.32/11.74 quotient( X, T, U ) ), 'less_equal'( U, Y ) ] )
% 11.32/11.74 , clause( 34564, [ ~( quotient( X, Y, Z ) ), ~( 'less_equal'( Z, T ) ), ~(
% 11.32/11.74 quotient( X, T, U ) ), 'less_equal'( U, Y ) ] )
% 11.32/11.74 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 11.32/11.74 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3
% 11.32/11.74 , 3 )] ) ).
% 11.32/11.74
% 11.32/11.74
% 11.32/11.74 subsumption(
% 11.32/11.74 clause( 16, [ ~( 'less_equal'( X, Y ) ), ~( quotient( X, Z, T ) ), ~(
% 11.32/11.74 quotient( Y, Z, U ) ), 'less_equal'( T, U ) ] )
% 11.32/11.74 , clause( 34566, [ ~( 'less_equal'( X, Y ) ), ~( quotient( X, Z, T ) ), ~(
% 11.32/11.74 quotient( Y, Z, U ) ), 'less_equal'( T, U ) ] )
% 11.32/11.74 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 11.32/11.74 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3
% 11.32/11.74 , 3 )] ) ).
% 11.32/11.74
% 11.32/11.74
% 11.32/11.74 subsumption(
% 11.32/11.74 clause( 17, [ quotient( identity, a, idQa ) ] )
% 11.32/11.74 , clause( 34567, [ quotient( identity, a, idQa ) ] )
% 11.32/11.74 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 11.32/11.74
% 11.32/11.74
% 11.32/11.74 subsumption(
% 11.32/11.74 clause( 18, [ quotient( identity, idQa, 'idQ_idQa' ) ] )
% 11.32/11.74 , clause( 34568, [ quotient( identity, idQa, 'idQ_idQa' ) ] )
% 11.32/11.74 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 11.32/11.74
% 11.32/11.74
% 11.32/11.74 subsumption(
% 11.32/11.74 clause( 19, [ quotient( idQa, 'idQ_idQa', 'idQa_Q__idQ_idQa' ) ] )
% 11.32/11.74 , clause( 34569, [ quotient( idQa, 'idQ_idQa', 'idQa_Q__idQ_idQa' ) ] )
% 11.32/11.74 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 11.32/11.74
% 11.32/11.74
% 11.32/11.74 eqswap(
% 11.32/11.74 clause( 35121, [ ~( =( 'idQa_Q__idQ_idQa', idQa ) ) ] )
% 11.32/11.74 , clause( 34570, [ ~( =( idQa, 'idQa_Q__idQ_idQa' ) ) ] )
% 11.32/11.74 , 0, substitution( 0, [] )).
% 11.32/11.74
% 11.32/11.74
% 11.32/11.74 subsumption(
% 11.32/11.74 clause( 20, [ ~( =( 'idQa_Q__idQ_idQa', idQa ) ) ] )
% 11.32/11.74 , clause( 35121, [ ~( =( 'idQa_Q__idQ_idQa', idQa ) ) ] )
% 11.32/11.74 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 11.32/11.74
% 11.32/11.74
% 11.32/11.74 resolution(
% 11.32/11.74 clause( 35122, [ 'less_equal'( X, X ) ] )
% 11.32/11.74 , clause( 1, [ ~( quotient( X, Y, zero ) ), 'less_equal'( X, Y ) ] )
% 11.32/11.74 , 0, clause( 11, [ quotient( X, X, zero ) ] )
% 11.32/11.74 , 0, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------