TSTP Solution File: HEN011-4 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : HEN011-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.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 12:47:13 EDT 2022
% Result : Unsatisfiable 37.56s 37.97s
% Output : Refutation 37.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HEN011-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n013.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 14:06:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 37.56/37.97 *** allocated 10000 integers for termspace/termends
% 37.56/37.97 *** allocated 10000 integers for clauses
% 37.56/37.97 *** allocated 10000 integers for justifications
% 37.56/37.97 Bliksem 1.12
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 Automatic Strategy Selection
% 37.56/37.97
% 37.56/37.97 Clauses:
% 37.56/37.97 [
% 37.56/37.97 [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ],
% 37.56/37.97 [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ],
% 37.56/37.97 [ 'less_equal'( divide( X, Y ), X ) ],
% 37.56/37.97 [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), divide( divide(
% 37.56/37.97 X, Z ), Y ) ) ],
% 37.56/37.97 [ 'less_equal'( zero, X ) ],
% 37.56/37.97 [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y ) ],
% 37.56/37.97 [ 'less_equal'( X, identity ) ],
% 37.56/37.97 [ =( divide( X, identity ), zero ) ],
% 37.56/37.97 [ =( divide( zero, X ), zero ) ],
% 37.56/37.97 [ =( divide( X, X ), zero ) ],
% 37.56/37.97 [ =( divide( a, zero ), a ) ],
% 37.56/37.97 [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, Z ) ), 'less_equal'( X
% 37.56/37.97 , Z ) ],
% 37.56/37.97 [ ~( 'less_equal'( divide( X, Y ), Z ) ), 'less_equal'( divide( X, Z ),
% 37.56/37.97 Y ) ],
% 37.56/37.97 [ ~( 'less_equal'( X, Y ) ), 'less_equal'( divide( Z, Y ), divide( Z, X
% 37.56/37.97 ) ) ],
% 37.56/37.97 [ ~( 'less_equal'( X, Y ) ), 'less_equal'( divide( X, Z ), divide( Y, Z
% 37.56/37.97 ) ) ],
% 37.56/37.97 [ =( divide( identity, divide( identity, divide( identity, X ) ) ),
% 37.56/37.97 divide( identity, X ) ) ],
% 37.56/37.97 [ =( divide( divide( identity, X ), divide( identity, divide( identity,
% 37.56/37.97 X ) ) ), divide( identity, X ) ) ],
% 37.56/37.97 [ ~( =( divide( divide( identity, a ), divide( identity, divide(
% 37.56/37.97 identity, b ) ) ), divide( divide( identity, b ), divide( identity,
% 37.56/37.97 divide( identity, a ) ) ) ) ) ]
% 37.56/37.97 ] .
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 percentage equality = 0.370370, percentage horn = 1.000000
% 37.56/37.97 This is a problem with some equality
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 Options Used:
% 37.56/37.97
% 37.56/37.97 useres = 1
% 37.56/37.97 useparamod = 1
% 37.56/37.97 useeqrefl = 1
% 37.56/37.97 useeqfact = 1
% 37.56/37.97 usefactor = 1
% 37.56/37.97 usesimpsplitting = 0
% 37.56/37.97 usesimpdemod = 5
% 37.56/37.97 usesimpres = 3
% 37.56/37.97
% 37.56/37.97 resimpinuse = 1000
% 37.56/37.97 resimpclauses = 20000
% 37.56/37.97 substype = eqrewr
% 37.56/37.97 backwardsubs = 1
% 37.56/37.97 selectoldest = 5
% 37.56/37.97
% 37.56/37.97 litorderings [0] = split
% 37.56/37.97 litorderings [1] = extend the termordering, first sorting on arguments
% 37.56/37.97
% 37.56/37.97 termordering = kbo
% 37.56/37.97
% 37.56/37.97 litapriori = 0
% 37.56/37.97 termapriori = 1
% 37.56/37.97 litaposteriori = 0
% 37.56/37.97 termaposteriori = 0
% 37.56/37.97 demodaposteriori = 0
% 37.56/37.97 ordereqreflfact = 0
% 37.56/37.97
% 37.56/37.97 litselect = negord
% 37.56/37.97
% 37.56/37.97 maxweight = 15
% 37.56/37.97 maxdepth = 30000
% 37.56/37.97 maxlength = 115
% 37.56/37.97 maxnrvars = 195
% 37.56/37.97 excuselevel = 1
% 37.56/37.97 increasemaxweight = 1
% 37.56/37.97
% 37.56/37.97 maxselected = 10000000
% 37.56/37.97 maxnrclauses = 10000000
% 37.56/37.97
% 37.56/37.97 showgenerated = 0
% 37.56/37.97 showkept = 0
% 37.56/37.97 showselected = 0
% 37.56/37.97 showdeleted = 0
% 37.56/37.97 showresimp = 1
% 37.56/37.97 showstatus = 2000
% 37.56/37.97
% 37.56/37.97 prologoutput = 1
% 37.56/37.97 nrgoals = 5000000
% 37.56/37.97 totalproof = 1
% 37.56/37.97
% 37.56/37.97 Symbols occurring in the translation:
% 37.56/37.97
% 37.56/37.97 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 37.56/37.97 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 37.56/37.97 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 37.56/37.97 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 37.56/37.97 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 37.56/37.97 'less_equal' [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 37.56/37.97 divide [42, 2] (w:1, o:47, a:1, s:1, b:0),
% 37.56/37.97 zero [43, 0] (w:1, o:11, a:1, s:1, b:0),
% 37.56/37.97 identity [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 37.56/37.97 a [46, 0] (w:1, o:14, a:1, s:1, b:0),
% 37.56/37.97 b [47, 0] (w:1, o:15, a:1, s:1, b:0).
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 Starting Search:
% 37.56/37.97
% 37.56/37.97 Resimplifying inuse:
% 37.56/37.97 Done
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 Intermediate Status:
% 37.56/37.97 Generated: 35107
% 37.56/37.97 Kept: 2024
% 37.56/37.97 Inuse: 207
% 37.56/37.97 Deleted: 69
% 37.56/37.97 Deletedinuse: 18
% 37.56/37.97
% 37.56/37.97 Resimplifying inuse:
% 37.56/37.97 Done
% 37.56/37.97
% 37.56/37.97 Resimplifying inuse:
% 37.56/37.97 Done
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 Intermediate Status:
% 37.56/37.97 Generated: 60191
% 37.56/37.97 Kept: 4028
% 37.56/37.97 Inuse: 291
% 37.56/37.97 Deleted: 109
% 37.56/37.97 Deletedinuse: 29
% 37.56/37.97
% 37.56/37.97 Resimplifying inuse:
% 37.56/37.97 Done
% 37.56/37.97
% 37.56/37.97 Resimplifying inuse:
% 37.56/37.97 Done
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 Intermediate Status:
% 37.56/37.97 Generated: 89919
% 37.56/37.97 Kept: 6038
% 37.56/37.97 Inuse: 371
% 37.56/37.97 Deleted: 126
% 37.56/37.97 Deletedinuse: 31
% 37.56/37.97
% 37.56/37.97 Resimplifying inuse:
% 37.56/37.97 Done
% 37.56/37.97
% 37.56/37.97 Resimplifying inuse:
% 37.56/37.97 Done
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 Intermediate Status:
% 37.56/37.97 Generated: 127195
% 37.56/37.97 Kept: 8046
% 37.56/37.97 Inuse: 457
% 37.56/37.97 Deleted: 171
% 37.56/37.97 Deletedinuse: 45
% 37.56/37.97
% 37.56/37.97 Resimplifying inuse:
% 37.56/37.97 Done
% 37.56/37.97
% 37.56/37.97 Resimplifying inuse:
% 37.56/37.97 Done
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 Intermediate Status:
% 37.56/37.97 Generated: 172847
% 37.56/37.97 Kept: 10063
% 37.56/37.97 Inuse: 549
% 37.56/37.97 Deleted: 195
% 37.56/37.97 Deletedinuse: 48
% 37.56/37.97
% 37.56/37.97 Resimplifying inuse:
% 37.56/37.97 Done
% 37.56/37.97
% 37.56/37.97 Resimplifying inuse:
% 37.56/37.97 Done
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 Intermediate Status:
% 37.56/37.97 Generated: 212475
% 37.56/37.97 Kept: 12128
% 37.56/37.97 Inuse: 606
% 37.56/37.97 Deleted: 203
% 37.56/37.97 Deletedinuse: 48
% 37.56/37.97
% 37.56/37.97 Resimplifying inuse:
% 37.56/37.97 Done
% 37.56/37.97
% 37.56/37.97 Resimplifying inuse:
% 37.56/37.97 Done
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 Intermediate Status:
% 37.56/37.97 Generated: 304987
% 37.56/37.97 Kept: 14148
% 37.56/37.97 Inuse: 706
% 37.56/37.97 Deleted: 220
% 37.56/37.97 Deletedinuse: 48
% 37.56/37.97
% 37.56/37.97 Resimplifying inuse:
% 37.56/37.97 Done
% 37.56/37.97
% 37.56/37.97 Resimplifying inuse:
% 37.56/37.97 Done
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 Intermediate Status:
% 37.56/37.97 Generated: 365949
% 37.56/37.97 Kept: 16171
% 37.56/37.97 Inuse: 787
% 37.56/37.97 Deleted: 238
% 37.56/37.97 Deletedinuse: 56
% 37.56/37.97
% 37.56/37.97 Resimplifying inuse:
% 37.56/37.97 Done
% 37.56/37.97
% 37.56/37.97 Resimplifying inuse:
% 37.56/37.97 Done
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 Intermediate Status:
% 37.56/37.97 Generated: 431565
% 37.56/37.97 Kept: 18182
% 37.56/37.97 Inuse: 860
% 37.56/37.97 Deleted: 242
% 37.56/37.97 Deletedinuse: 58
% 37.56/37.97
% 37.56/37.97 Resimplifying inuse:
% 37.56/37.97 Done
% 37.56/37.97
% 37.56/37.97 Resimplifying inuse:
% 37.56/37.97 Done
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 Intermediate Status:
% 37.56/37.97 Generated: 477607
% 37.56/37.97 Kept: 20203
% 37.56/37.97 Inuse: 903
% 37.56/37.97 Deleted: 248
% 37.56/37.97 Deletedinuse: 58
% 37.56/37.97
% 37.56/37.97 Resimplifying clauses:
% 37.56/37.97 Done
% 37.56/37.97
% 37.56/37.97 Resimplifying inuse:
% 37.56/37.97 Done
% 37.56/37.97
% 37.56/37.97 Resimplifying inuse:
% 37.56/37.97 Done
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 Intermediate Status:
% 37.56/37.97 Generated: 523336
% 37.56/37.97 Kept: 22257
% 37.56/37.97 Inuse: 951
% 37.56/37.97 Deleted: 1876
% 37.56/37.97 Deletedinuse: 58
% 37.56/37.97
% 37.56/37.97 Resimplifying inuse:
% 37.56/37.97 Done
% 37.56/37.97
% 37.56/37.97 Resimplifying inuse:
% 37.56/37.97 Done
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 Intermediate Status:
% 37.56/37.97 Generated: 621208
% 37.56/37.97 Kept: 24514
% 37.56/37.97 Inuse: 993
% 37.56/37.97 Deleted: 1876
% 37.56/37.97 Deletedinuse: 58
% 37.56/37.97
% 37.56/37.97 Resimplifying inuse:
% 37.56/37.97 Done
% 37.56/37.97
% 37.56/37.97 Resimplifying inuse:
% 37.56/37.97 Done
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 Intermediate Status:
% 37.56/37.97 Generated: 729937
% 37.56/37.97 Kept: 26538
% 37.56/37.97 Inuse: 1086
% 37.56/37.97 Deleted: 1876
% 37.56/37.97 Deletedinuse: 58
% 37.56/37.97
% 37.56/37.97 Resimplifying inuse:
% 37.56/37.97 Done
% 37.56/37.97
% 37.56/37.97 Resimplifying inuse:
% 37.56/37.97 Done
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 Intermediate Status:
% 37.56/37.97 Generated: 1095939
% 37.56/37.97 Kept: 28557
% 37.56/37.97 Inuse: 1292
% 37.56/37.97 Deleted: 1876
% 37.56/37.97 Deletedinuse: 58
% 37.56/37.97
% 37.56/37.97 Resimplifying inuse:
% 37.56/37.97 Done
% 37.56/37.97
% 37.56/37.97 Resimplifying inuse:
% 37.56/37.97 Done
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 Intermediate Status:
% 37.56/37.97 Generated: 1152121
% 37.56/37.97 Kept: 30587
% 37.56/37.97 Inuse: 1335
% 37.56/37.97 Deleted: 1883
% 37.56/37.97 Deletedinuse: 65
% 37.56/37.97
% 37.56/37.97 Resimplifying inuse:
% 37.56/37.97 Done
% 37.56/37.97
% 37.56/37.97 Resimplifying inuse:
% 37.56/37.97 Done
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 Intermediate Status:
% 37.56/37.97 Generated: 1255999
% 37.56/37.97 Kept: 32646
% 37.56/37.97 Inuse: 1414
% 37.56/37.97 Deleted: 1902
% 37.56/37.97 Deletedinuse: 80
% 37.56/37.97
% 37.56/37.97 Resimplifying inuse:
% 37.56/37.97 Done
% 37.56/37.97
% 37.56/37.97 Resimplifying inuse:
% 37.56/37.97 Done
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 Intermediate Status:
% 37.56/37.97 Generated: 1460093
% 37.56/37.97 Kept: 34689
% 37.56/37.97 Inuse: 1574
% 37.56/37.97 Deleted: 1911
% 37.56/37.97 Deletedinuse: 84
% 37.56/37.97
% 37.56/37.97 Resimplifying inuse:
% 37.56/37.97 Done
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 Bliksems!, er is een bewijs:
% 37.56/37.97 % SZS status Unsatisfiable
% 37.56/37.97 % SZS output start Refutation
% 37.56/37.97
% 37.56/37.97 clause( 1, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 37.56/37.97 .
% 37.56/37.97 clause( 2, [ 'less_equal'( divide( X, Y ), X ) ] )
% 37.56/37.97 .
% 37.56/37.97 clause( 3, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), divide(
% 37.56/37.97 divide( X, Z ), Y ) ) ] )
% 37.56/37.97 .
% 37.56/37.97 clause( 4, [ 'less_equal'( zero, X ) ] )
% 37.56/37.97 .
% 37.56/37.97 clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y
% 37.56/37.97 ) ] )
% 37.56/37.97 .
% 37.56/37.97 clause( 9, [ =( divide( X, X ), zero ) ] )
% 37.56/37.97 .
% 37.56/37.97 clause( 11, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, Z ) ),
% 37.56/37.97 'less_equal'( X, Z ) ] )
% 37.56/37.97 .
% 37.56/37.97 clause( 12, [ ~( 'less_equal'( divide( X, Y ), Z ) ), 'less_equal'( divide(
% 37.56/37.97 X, Z ), Y ) ] )
% 37.56/37.97 .
% 37.56/37.97 clause( 13, [ ~( 'less_equal'( X, Y ) ), 'less_equal'( divide( Z, Y ),
% 37.56/37.97 divide( Z, X ) ) ] )
% 37.56/37.97 .
% 37.56/37.97 clause( 14, [ ~( 'less_equal'( X, Y ) ), 'less_equal'( divide( X, Z ),
% 37.56/37.97 divide( Y, Z ) ) ] )
% 37.56/37.97 .
% 37.56/37.97 clause( 17, [ ~( =( divide( divide( identity, a ), divide( identity, divide(
% 37.56/37.97 identity, b ) ) ), divide( divide( identity, b ), divide( identity,
% 37.56/37.97 divide( identity, a ) ) ) ) ) ] )
% 37.56/37.97 .
% 37.56/37.97 clause( 21, [ 'less_equal'( X, X ) ] )
% 37.56/37.97 .
% 37.56/37.97 clause( 30, [ ~( 'less_equal'( X, Y ) ), 'less_equal'( divide( X, Z ), Y )
% 37.56/37.97 ] )
% 37.56/37.97 .
% 37.56/37.97 clause( 35, [ ~( 'less_equal'( X, divide( divide( Y, Z ), divide( T, Z ) )
% 37.56/37.97 ) ), 'less_equal'( X, divide( divide( Y, T ), Z ) ) ] )
% 37.56/37.97 .
% 37.56/37.97 clause( 65, [ ~( 'less_equal'( divide( divide( X, Y ), Z ), divide( divide(
% 37.56/37.97 X, Z ), divide( Y, Z ) ) ) ), =( divide( divide( X, Z ), divide( Y, Z ) )
% 37.56/37.97 , divide( divide( X, Y ), Z ) ) ] )
% 37.56/37.97 .
% 37.56/37.97 clause( 70, [ ~( 'less_equal'( X, zero ) ), =( zero, X ) ] )
% 37.56/37.97 .
% 37.56/37.97 clause( 94, [ ~( 'less_equal'( divide( X, Y ), Z ) ), ~( 'less_equal'( Y,
% 37.56/37.97 divide( X, Z ) ) ), =( divide( X, Z ), Y ) ] )
% 37.56/37.97 .
% 37.56/37.97 clause( 100, [ 'less_equal'( divide( X, divide( X, Y ) ), Y ) ] )
% 37.56/37.97 .
% 37.56/37.97 clause( 110, [ =( divide( X, divide( X, zero ) ), zero ) ] )
% 37.56/37.97 .
% 37.56/37.97 clause( 111, [ ~( 'less_equal'( X, divide( Y, divide( Y, X ) ) ) ), =(
% 37.56/37.97 divide( Y, divide( Y, X ) ), X ) ] )
% 37.56/37.97 .
% 37.56/37.97 clause( 115, [ 'less_equal'( X, divide( X, zero ) ) ] )
% 37.56/37.97 .
% 37.56/37.97 clause( 132, [ 'less_equal'( divide( X, Y ), divide( X, divide( Y, Z ) ) )
% 37.56/37.97 ] )
% 37.56/37.97 .
% 37.56/37.97 clause( 138, [ =( divide( X, zero ), X ) ] )
% 37.56/37.97 .
% 37.56/37.97 clause( 166, [ 'less_equal'( divide( divide( X, Y ), Z ), divide( X, Z ) )
% 37.56/37.97 ] )
% 37.56/37.97 .
% 37.56/37.97 clause( 300, [ ~( =( divide( divide( identity, X ), divide( identity,
% 37.56/37.97 divide( identity, b ) ) ), divide( divide( identity, b ), divide(
% 37.56/37.97 identity, divide( identity, X ) ) ) ) ), ~( 'less_equal'( a, X ) ), ~(
% 37.56/37.97 'less_equal'( X, a ) ) ] )
% 37.56/37.97 .
% 37.56/37.97 clause( 1303, [ =( divide( divide( X, Y ), Y ), divide( X, Y ) ) ] )
% 37.56/37.97 .
% 37.56/37.97 clause( 2009, [ 'less_equal'( divide( divide( X, Y ), divide( X, Z ) ), Z )
% 37.56/37.97 ] )
% 37.56/37.97 .
% 37.56/37.97 clause( 2054, [ 'less_equal'( divide( divide( divide( X, Y ), divide( X, Z
% 37.56/37.97 ) ), T ), Z ) ] )
% 37.56/37.97 .
% 37.56/37.97 clause( 2082, [ 'less_equal'( divide( divide( X, Y ), Z ), divide( divide(
% 37.56/37.97 X, Z ), Y ) ) ] )
% 37.56/37.97 .
% 37.56/37.97 clause( 2091, [ 'less_equal'( divide( divide( X, Y ), Z ), divide( X,
% 37.56/37.97 divide( Y, T ) ) ) ] )
% 37.56/37.97 .
% 37.56/37.97 clause( 2141, [ =( divide( divide( X, Y ), divide( Z, Y ) ), divide( divide(
% 37.56/37.97 divide( X, Y ), Z ), Y ) ) ] )
% 37.56/37.97 .
% 37.56/37.97 clause( 3175, [ =( divide( X, divide( X, divide( X, Y ) ) ), divide( X, Y )
% 37.56/37.97 ) ] )
% 37.56/37.97 .
% 37.56/37.97 clause( 28334, [ =( divide( divide( X, Y ), Z ), divide( divide( X, Z ), Y
% 37.56/37.97 ) ) ] )
% 37.56/37.97 .
% 37.56/37.97 clause( 34434, [ =( divide( divide( X, Z ), divide( X, divide( X, Y ) ) ),
% 37.56/37.97 divide( divide( X, Y ), Z ) ) ] )
% 37.56/37.97 .
% 37.56/37.97 clause( 35378, [ ~( 'less_equal'( a, X ) ), ~( 'less_equal'( X, a ) ) ] )
% 37.56/37.97 .
% 37.56/37.97 clause( 35381, [] )
% 37.56/37.97 .
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 % SZS output end Refutation
% 37.56/37.97 found a proof!
% 37.56/37.97
% 37.56/37.97 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 37.56/37.97
% 37.56/37.97 initialclauses(
% 37.56/37.97 [ clause( 35383, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ]
% 37.56/37.97 )
% 37.56/37.97 , clause( 35384, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ]
% 37.56/37.97 )
% 37.56/37.97 , clause( 35385, [ 'less_equal'( divide( X, Y ), X ) ] )
% 37.56/37.97 , clause( 35386, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ),
% 37.56/37.97 divide( divide( X, Z ), Y ) ) ] )
% 37.56/37.97 , clause( 35387, [ 'less_equal'( zero, X ) ] )
% 37.56/37.97 , clause( 35388, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ),
% 37.56/37.97 =( X, Y ) ] )
% 37.56/37.97 , clause( 35389, [ 'less_equal'( X, identity ) ] )
% 37.56/37.97 , clause( 35390, [ =( divide( X, identity ), zero ) ] )
% 37.56/37.97 , clause( 35391, [ =( divide( zero, X ), zero ) ] )
% 37.56/37.97 , clause( 35392, [ =( divide( X, X ), zero ) ] )
% 37.56/37.97 , clause( 35393, [ =( divide( a, zero ), a ) ] )
% 37.56/37.97 , clause( 35394, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, Z ) ),
% 37.56/37.97 'less_equal'( X, Z ) ] )
% 37.56/37.97 , clause( 35395, [ ~( 'less_equal'( divide( X, Y ), Z ) ), 'less_equal'(
% 37.56/37.97 divide( X, Z ), Y ) ] )
% 37.56/37.97 , clause( 35396, [ ~( 'less_equal'( X, Y ) ), 'less_equal'( divide( Z, Y )
% 37.56/37.97 , divide( Z, X ) ) ] )
% 37.56/37.97 , clause( 35397, [ ~( 'less_equal'( X, Y ) ), 'less_equal'( divide( X, Z )
% 37.56/37.97 , divide( Y, Z ) ) ] )
% 37.56/37.97 , clause( 35398, [ =( divide( identity, divide( identity, divide( identity
% 37.56/37.97 , X ) ) ), divide( identity, X ) ) ] )
% 37.56/37.97 , clause( 35399, [ =( divide( divide( identity, X ), divide( identity,
% 37.56/37.97 divide( identity, X ) ) ), divide( identity, X ) ) ] )
% 37.56/37.97 , clause( 35400, [ ~( =( divide( divide( identity, a ), divide( identity,
% 37.56/37.97 divide( identity, b ) ) ), divide( divide( identity, b ), divide(
% 37.56/37.97 identity, divide( identity, a ) ) ) ) ) ] )
% 37.56/37.97 ] ).
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 subsumption(
% 37.56/37.97 clause( 1, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 37.56/37.97 , clause( 35384, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ]
% 37.56/37.97 )
% 37.56/37.97 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 37.56/37.97 ), ==>( 1, 1 )] ) ).
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 subsumption(
% 37.56/37.97 clause( 2, [ 'less_equal'( divide( X, Y ), X ) ] )
% 37.56/37.97 , clause( 35385, [ 'less_equal'( divide( X, Y ), X ) ] )
% 37.56/37.97 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 37.56/37.97 )] ) ).
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 subsumption(
% 37.56/37.97 clause( 3, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), divide(
% 37.56/37.97 divide( X, Z ), Y ) ) ] )
% 37.56/37.97 , clause( 35386, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ),
% 37.56/37.97 divide( divide( X, Z ), Y ) ) ] )
% 37.56/37.97 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 37.56/37.97 permutation( 0, [ ==>( 0, 0 )] ) ).
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 subsumption(
% 37.56/37.97 clause( 4, [ 'less_equal'( zero, X ) ] )
% 37.56/37.97 , clause( 35387, [ 'less_equal'( zero, X ) ] )
% 37.56/37.97 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 subsumption(
% 37.56/37.97 clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y
% 37.56/37.97 ) ] )
% 37.56/37.97 , clause( 35388, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ),
% 37.56/37.97 =( X, Y ) ] )
% 37.56/37.97 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 37.56/37.97 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 subsumption(
% 37.56/37.97 clause( 9, [ =( divide( X, X ), zero ) ] )
% 37.56/37.97 , clause( 35392, [ =( divide( X, X ), zero ) ] )
% 37.56/37.97 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 subsumption(
% 37.56/37.97 clause( 11, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, Z ) ),
% 37.56/37.97 'less_equal'( X, Z ) ] )
% 37.56/37.97 , clause( 35394, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, Z ) ),
% 37.56/37.97 'less_equal'( X, Z ) ] )
% 37.56/37.97 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 37.56/37.97 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 subsumption(
% 37.56/37.97 clause( 12, [ ~( 'less_equal'( divide( X, Y ), Z ) ), 'less_equal'( divide(
% 37.56/37.97 X, Z ), Y ) ] )
% 37.56/37.97 , clause( 35395, [ ~( 'less_equal'( divide( X, Y ), Z ) ), 'less_equal'(
% 37.56/37.97 divide( X, Z ), Y ) ] )
% 37.56/37.97 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 37.56/37.97 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 subsumption(
% 37.56/37.97 clause( 13, [ ~( 'less_equal'( X, Y ) ), 'less_equal'( divide( Z, Y ),
% 37.56/37.97 divide( Z, X ) ) ] )
% 37.56/37.97 , clause( 35396, [ ~( 'less_equal'( X, Y ) ), 'less_equal'( divide( Z, Y )
% 37.56/37.97 , divide( Z, X ) ) ] )
% 37.56/37.97 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 37.56/37.97 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 subsumption(
% 37.56/37.97 clause( 14, [ ~( 'less_equal'( X, Y ) ), 'less_equal'( divide( X, Z ),
% 37.56/37.97 divide( Y, Z ) ) ] )
% 37.56/37.97 , clause( 35397, [ ~( 'less_equal'( X, Y ) ), 'less_equal'( divide( X, Z )
% 37.56/37.97 , divide( Y, Z ) ) ] )
% 37.56/37.97 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 37.56/37.97 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 subsumption(
% 37.56/37.97 clause( 17, [ ~( =( divide( divide( identity, a ), divide( identity, divide(
% 37.56/37.97 identity, b ) ) ), divide( divide( identity, b ), divide( identity,
% 37.56/37.97 divide( identity, a ) ) ) ) ) ] )
% 37.56/37.97 , clause( 35400, [ ~( =( divide( divide( identity, a ), divide( identity,
% 37.56/37.97 divide( identity, b ) ) ), divide( divide( identity, b ), divide(
% 37.56/37.97 identity, divide( identity, a ) ) ) ) ) ] )
% 37.56/37.97 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 eqswap(
% 37.56/37.97 clause( 35461, [ ~( =( zero, divide( X, Y ) ) ), 'less_equal'( X, Y ) ] )
% 37.56/37.97 , clause( 1, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 37.56/37.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 eqswap(
% 37.56/37.97 clause( 35462, [ =( zero, divide( X, X ) ) ] )
% 37.56/37.97 , clause( 9, [ =( divide( X, X ), zero ) ] )
% 37.56/37.97 , 0, substitution( 0, [ :=( X, X )] )).
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 resolution(
% 37.56/37.97 clause( 35463, [ 'less_equal'( X, X ) ] )
% 37.56/37.97 , clause( 35461, [ ~( =( zero, divide( X, Y ) ) ), 'less_equal'( X, Y ) ]
% 37.56/37.97 )
% 37.56/37.97 , 0, clause( 35462, [ =( zero, divide( X, X ) ) ] )
% 37.56/37.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [ :=( X
% 37.56/37.97 , X )] )).
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 subsumption(
% 37.56/37.97 clause( 21, [ 'less_equal'( X, X ) ] )
% 37.56/37.97 , clause( 35463, [ 'less_equal'( X, X ) ] )
% 37.56/37.97 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 resolution(
% 37.56/37.97 clause( 35464, [ ~( 'less_equal'( X, Z ) ), 'less_equal'( divide( X, Y ), Z
% 37.56/37.97 ) ] )
% 37.56/37.97 , clause( 11, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, Z ) ),
% 37.56/37.97 'less_equal'( X, Z ) ] )
% 37.56/37.97 , 0, clause( 2, [ 'less_equal'( divide( X, Y ), X ) ] )
% 37.56/37.97 , 0, substitution( 0, [ :=( X, divide( X, Y ) ), :=( Y, X ), :=( Z, Z )] )
% 37.56/37.97 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 subsumption(
% 37.56/37.97 clause( 30, [ ~( 'less_equal'( X, Y ) ), 'less_equal'( divide( X, Z ), Y )
% 37.56/37.97 ] )
% 37.56/37.97 , clause( 35464, [ ~( 'less_equal'( X, Z ) ), 'less_equal'( divide( X, Y )
% 37.56/37.97 , Z ) ] )
% 37.56/37.97 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 37.56/37.97 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 resolution(
% 37.56/37.97 clause( 35467, [ ~( 'less_equal'( X, divide( divide( Y, Z ), divide( T, Z )
% 37.56/37.97 ) ) ), 'less_equal'( X, divide( divide( Y, T ), Z ) ) ] )
% 37.56/37.97 , clause( 11, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, Z ) ),
% 37.56/37.97 'less_equal'( X, Z ) ] )
% 37.56/37.97 , 1, clause( 3, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ),
% 37.56/37.97 divide( divide( X, Z ), Y ) ) ] )
% 37.56/37.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, divide( divide( Y, Z ), divide(
% 37.56/37.97 T, Z ) ) ), :=( Z, divide( divide( Y, T ), Z ) )] ), substitution( 1, [
% 37.56/37.97 :=( X, Y ), :=( Y, Z ), :=( Z, T )] )).
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 subsumption(
% 37.56/37.97 clause( 35, [ ~( 'less_equal'( X, divide( divide( Y, Z ), divide( T, Z ) )
% 37.56/37.97 ) ), 'less_equal'( X, divide( divide( Y, T ), Z ) ) ] )
% 37.56/37.97 , clause( 35467, [ ~( 'less_equal'( X, divide( divide( Y, Z ), divide( T, Z
% 37.56/37.97 ) ) ) ), 'less_equal'( X, divide( divide( Y, T ), Z ) ) ] )
% 37.56/37.97 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 37.56/37.97 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 resolution(
% 37.56/37.97 clause( 35468, [ ~( 'less_equal'( divide( divide( X, Z ), Y ), divide(
% 37.56/37.97 divide( X, Y ), divide( Z, Y ) ) ) ), =( divide( divide( X, Y ), divide(
% 37.56/37.97 Z, Y ) ), divide( divide( X, Z ), Y ) ) ] )
% 37.56/37.97 , clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X,
% 37.56/37.97 Y ) ] )
% 37.56/37.97 , 0, clause( 3, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ),
% 37.56/37.97 divide( divide( X, Z ), Y ) ) ] )
% 37.56/37.97 , 0, substitution( 0, [ :=( X, divide( divide( X, Y ), divide( Z, Y ) ) ),
% 37.56/37.97 :=( Y, divide( divide( X, Z ), Y ) )] ), substitution( 1, [ :=( X, X ),
% 37.56/37.97 :=( Y, Y ), :=( Z, Z )] )).
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 subsumption(
% 37.56/37.97 clause( 65, [ ~( 'less_equal'( divide( divide( X, Y ), Z ), divide( divide(
% 37.56/37.97 X, Z ), divide( Y, Z ) ) ) ), =( divide( divide( X, Z ), divide( Y, Z ) )
% 37.56/37.97 , divide( divide( X, Y ), Z ) ) ] )
% 37.56/37.97 , clause( 35468, [ ~( 'less_equal'( divide( divide( X, Z ), Y ), divide(
% 37.56/37.97 divide( X, Y ), divide( Z, Y ) ) ) ), =( divide( divide( X, Y ), divide(
% 37.56/37.97 Z, Y ) ), divide( divide( X, Z ), Y ) ) ] )
% 37.56/37.97 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 37.56/37.97 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 resolution(
% 37.56/37.97 clause( 35470, [ ~( 'less_equal'( X, zero ) ), =( zero, X ) ] )
% 37.56/37.97 , clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X,
% 37.56/37.97 Y ) ] )
% 37.56/37.97 , 0, clause( 4, [ 'less_equal'( zero, X ) ] )
% 37.56/37.97 , 0, substitution( 0, [ :=( X, zero ), :=( Y, X )] ), substitution( 1, [
% 37.56/37.97 :=( X, X )] )).
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 subsumption(
% 37.56/37.97 clause( 70, [ ~( 'less_equal'( X, zero ) ), =( zero, X ) ] )
% 37.56/37.97 , clause( 35470, [ ~( 'less_equal'( X, zero ) ), =( zero, X ) ] )
% 37.56/37.97 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 37.56/37.97 1 )] ) ).
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 resolution(
% 37.56/37.97 clause( 35472, [ ~( 'less_equal'( Z, divide( X, Y ) ) ), =( divide( X, Y )
% 37.56/37.97 , Z ), ~( 'less_equal'( divide( X, Z ), Y ) ) ] )
% 37.56/37.97 , clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X,
% 37.56/37.97 Y ) ] )
% 37.56/37.97 , 0, clause( 12, [ ~( 'less_equal'( divide( X, Y ), Z ) ), 'less_equal'(
% 37.56/37.97 divide( X, Z ), Y ) ] )
% 37.56/37.97 , 1, substitution( 0, [ :=( X, divide( X, Y ) ), :=( Y, Z )] ),
% 37.56/37.97 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 subsumption(
% 37.56/37.97 clause( 94, [ ~( 'less_equal'( divide( X, Y ), Z ) ), ~( 'less_equal'( Y,
% 37.56/37.97 divide( X, Z ) ) ), =( divide( X, Z ), Y ) ] )
% 37.56/37.97 , clause( 35472, [ ~( 'less_equal'( Z, divide( X, Y ) ) ), =( divide( X, Y
% 37.56/37.97 ), Z ), ~( 'less_equal'( divide( X, Z ), Y ) ) ] )
% 37.56/37.97 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 37.56/37.97 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 resolution(
% 37.56/37.97 clause( 35474, [ 'less_equal'( divide( X, divide( X, Y ) ), Y ) ] )
% 37.56/37.97 , clause( 12, [ ~( 'less_equal'( divide( X, Y ), Z ) ), 'less_equal'(
% 37.56/37.97 divide( X, Z ), Y ) ] )
% 37.56/37.97 , 0, clause( 21, [ 'less_equal'( X, X ) ] )
% 37.56/37.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, divide( X, Y ) )] )
% 37.56/37.97 , substitution( 1, [ :=( X, divide( X, Y ) )] )).
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 subsumption(
% 37.56/37.97 clause( 100, [ 'less_equal'( divide( X, divide( X, Y ) ), Y ) ] )
% 37.56/37.97 , clause( 35474, [ 'less_equal'( divide( X, divide( X, Y ) ), Y ) ] )
% 37.56/37.97 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 37.56/37.97 )] ) ).
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 eqswap(
% 37.56/37.97 clause( 35475, [ =( X, zero ), ~( 'less_equal'( X, zero ) ) ] )
% 37.56/37.97 , clause( 70, [ ~( 'less_equal'( X, zero ) ), =( zero, X ) ] )
% 37.56/37.97 , 1, substitution( 0, [ :=( X, X )] )).
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 resolution(
% 37.56/37.97 clause( 35476, [ =( divide( X, divide( X, zero ) ), zero ) ] )
% 37.56/37.97 , clause( 35475, [ =( X, zero ), ~( 'less_equal'( X, zero ) ) ] )
% 37.56/37.97 , 1, clause( 100, [ 'less_equal'( divide( X, divide( X, Y ) ), Y ) ] )
% 37.56/37.97 , 0, substitution( 0, [ :=( X, divide( X, divide( X, zero ) ) )] ),
% 37.56/37.97 substitution( 1, [ :=( X, X ), :=( Y, zero )] )).
% 37.56/37.97
% 37.56/37.97
% 37.56/37.97 subsumption(
% 37.56/37.97 clause( 110, [ =( divide( X, divide( X, zero ) ), zeroCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------