TSTP Solution File: LCL221-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL221-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n023.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 : Sun Jul 17 07:51:54 EDT 2022
% Result : Unsatisfiable 61.63s 62.07s
% Output : Refutation 61.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL221-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n023.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 : Sun Jul 3 00:58:28 EDT 2022
% 0.13/0.33 % CPUTime :
% 12.97/13.37 *** allocated 10000 integers for termspace/termends
% 12.97/13.37 *** allocated 10000 integers for clauses
% 12.97/13.37 *** allocated 10000 integers for justifications
% 12.97/13.37 Bliksem 1.12
% 12.97/13.37
% 12.97/13.37
% 12.97/13.37 Automatic Strategy Selection
% 12.97/13.37
% 12.97/13.37 Clauses:
% 12.97/13.37 [
% 12.97/13.37 [ axiom( or( not( or( X, X ) ), X ) ) ],
% 12.97/13.37 [ axiom( or( not( X ), or( Y, X ) ) ) ],
% 12.97/13.37 [ axiom( or( not( or( X, Y ) ), or( Y, X ) ) ) ],
% 12.97/13.37 [ axiom( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z ) ) ) ) ],
% 12.97/13.37 [ axiom( or( not( or( not( X ), Y ) ), or( not( or( Z, X ) ), or( Z, Y )
% 12.97/13.37 ) ) ) ],
% 12.97/13.37 [ theorem( X ), ~( axiom( X ) ) ],
% 12.97/13.37 [ theorem( X ), ~( axiom( or( not( Y ), X ) ) ), ~( theorem( Y ) ) ]
% 12.97/13.37 ,
% 12.97/13.37 [ theorem( or( not( X ), Y ) ), ~( axiom( or( not( X ), Z ) ) ), ~(
% 12.97/13.37 theorem( or( not( Z ), Y ) ) ) ],
% 12.97/13.37 [ ~( theorem( or( not( or( not( p ), q ) ), or( not( or( or( p, q ), r )
% 12.97/13.37 ), or( q, r ) ) ) ) ) ]
% 12.97/13.37 ] .
% 12.97/13.37
% 12.97/13.37
% 12.97/13.37 percentage equality = 0.000000, percentage horn = 1.000000
% 12.97/13.37 This is a near-Horn, non-equality problem
% 12.97/13.37
% 12.97/13.37
% 12.97/13.37 Options Used:
% 12.97/13.37
% 12.97/13.37 useres = 1
% 12.97/13.37 useparamod = 0
% 12.97/13.37 useeqrefl = 0
% 12.97/13.37 useeqfact = 0
% 12.97/13.37 usefactor = 1
% 12.97/13.37 usesimpsplitting = 0
% 12.97/13.37 usesimpdemod = 0
% 12.97/13.37 usesimpres = 4
% 12.97/13.37
% 12.97/13.37 resimpinuse = 1000
% 12.97/13.37 resimpclauses = 20000
% 12.97/13.37 substype = standard
% 12.97/13.37 backwardsubs = 1
% 12.97/13.37 selectoldest = 5
% 12.97/13.37
% 12.97/13.37 litorderings [0] = split
% 12.97/13.37 litorderings [1] = liftord
% 12.97/13.37
% 12.97/13.37 termordering = none
% 12.97/13.37
% 12.97/13.37 litapriori = 1
% 12.97/13.37 termapriori = 0
% 12.97/13.37 litaposteriori = 0
% 12.97/13.37 termaposteriori = 0
% 12.97/13.37 demodaposteriori = 0
% 12.97/13.37 ordereqreflfact = 0
% 12.97/13.37
% 12.97/13.37 litselect = negative
% 12.97/13.37
% 12.97/13.37 maxweight = 30000
% 12.97/13.37 maxdepth = 30000
% 12.97/13.37 maxlength = 115
% 12.97/13.37 maxnrvars = 195
% 12.97/13.37 excuselevel = 0
% 12.97/13.37 increasemaxweight = 0
% 12.97/13.37
% 12.97/13.37 maxselected = 10000000
% 12.97/13.37 maxnrclauses = 10000000
% 12.97/13.37
% 12.97/13.37 showgenerated = 0
% 12.97/13.37 showkept = 0
% 12.97/13.37 showselected = 0
% 12.97/13.37 showdeleted = 0
% 12.97/13.37 showresimp = 1
% 12.97/13.37 showstatus = 2000
% 12.97/13.37
% 12.97/13.37 prologoutput = 1
% 12.97/13.37 nrgoals = 5000000
% 12.97/13.37 totalproof = 1
% 12.97/13.37
% 12.97/13.37 Symbols occurring in the translation:
% 12.97/13.37
% 12.97/13.37 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 12.97/13.37 . [1, 2] (w:1, o:26, a:1, s:1, b:0),
% 12.97/13.37 ! [4, 1] (w:1, o:18, a:1, s:1, b:0),
% 12.97/13.37 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 12.97/13.37 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 12.97/13.37 or [40, 2] (w:1, o:51, a:1, s:1, b:0),
% 12.97/13.37 not [41, 1] (w:1, o:23, a:1, s:1, b:0),
% 12.97/13.37 axiom [42, 1] (w:1, o:24, a:1, s:1, b:0),
% 12.97/13.37 theorem [46, 1] (w:1, o:25, a:1, s:1, b:0),
% 12.97/13.37 p [49, 0] (w:1, o:15, a:1, s:1, b:0),
% 12.97/13.37 q [50, 0] (w:1, o:16, a:1, s:1, b:0),
% 12.97/13.37 r [51, 0] (w:1, o:17, a:1, s:1, b:0).
% 12.97/13.37
% 12.97/13.37
% 12.97/13.37 Starting Search:
% 12.97/13.37
% 12.97/13.37 Resimplifying inuse:
% 12.97/13.37 Done
% 12.97/13.37
% 12.97/13.37
% 12.97/13.37 Intermediate Status:
% 12.97/13.37 Generated: 3552
% 12.97/13.37 Kept: 2003
% 12.97/13.37 Inuse: 579
% 12.97/13.37 Deleted: 7
% 12.97/13.37 Deletedinuse: 0
% 12.97/13.37
% 12.97/13.37 Resimplifying inuse:
% 12.97/13.37 Done
% 12.97/13.37
% 12.97/13.37 Resimplifying inuse:
% 12.97/13.37 Done
% 12.97/13.37
% 12.97/13.37
% 12.97/13.37 Intermediate Status:
% 12.97/13.37 Generated: 7011
% 12.97/13.37 Kept: 4004
% 12.97/13.37 Inuse: 1159
% 12.97/13.37 Deleted: 22
% 12.97/13.37 Deletedinuse: 0
% 12.97/13.37
% 12.97/13.37 Resimplifying inuse:
% 12.97/13.37 Done
% 12.97/13.37
% 12.97/13.37 Resimplifying inuse:
% 12.97/13.37 Done
% 12.97/13.37
% 12.97/13.37
% 12.97/13.37 Intermediate Status:
% 12.97/13.37 Generated: 10535
% 12.97/13.37 Kept: 6005
% 12.97/13.37 Inuse: 1749
% 12.97/13.37 Deleted: 36
% 12.97/13.37 Deletedinuse: 0
% 12.97/13.37
% 12.97/13.37 Resimplifying inuse:
% 12.97/13.37 Done
% 12.97/13.37
% 12.97/13.37 Resimplifying inuse:
% 12.97/13.37 Done
% 12.97/13.37
% 12.97/13.37
% 12.97/13.37 Intermediate Status:
% 12.97/13.37 Generated: 13970
% 12.97/13.37 Kept: 8008
% 12.97/13.37 Inuse: 2286
% 12.97/13.37 Deleted: 54
% 12.97/13.37 Deletedinuse: 0
% 12.97/13.37
% 12.97/13.37 Resimplifying inuse:
% 12.97/13.37 Done
% 12.97/13.37
% 12.97/13.37 Resimplifying inuse:
% 12.97/13.37 Done
% 12.97/13.37
% 12.97/13.37
% 12.97/13.37 Intermediate Status:
% 12.97/13.37 Generated: 17352
% 12.97/13.37 Kept: 10008
% 12.97/13.37 Inuse: 2812
% 12.97/13.37 Deleted: 63
% 12.97/13.37 Deletedinuse: 0
% 12.97/13.37
% 12.97/13.37 Resimplifying inuse:
% 12.97/13.37 Done
% 12.97/13.37
% 12.97/13.37 Resimplifying inuse:
% 12.97/13.37 Done
% 12.97/13.37
% 12.97/13.37
% 12.97/13.37 Intermediate Status:
% 12.97/13.37 Generated: 20537
% 12.97/13.37 Kept: 12010
% 12.97/13.37 Inuse: 3393
% 12.97/13.37 Deleted: 83
% 12.97/13.37 Deletedinuse: 0
% 12.97/13.37
% 12.97/13.37 Resimplifying inuse:
% 12.97/13.37 Done
% 12.97/13.37
% 12.97/13.37 Resimplifying inuse:
% 12.97/13.37 Done
% 12.97/13.37
% 12.97/13.37
% 12.97/13.37 Intermediate Status:
% 12.97/13.37 Generated: 24245
% 12.97/13.37 Kept: 14010
% 12.97/13.37 Inuse: 4013
% 12.97/13.37 Deleted: 89
% 12.97/13.37 Deletedinuse: 0
% 12.97/13.37
% 12.97/13.37 Resimplifying inuse:
% 12.97/13.37 Done
% 12.97/13.37
% 12.97/13.37 Resimplifying inuse:
% 12.97/13.37 Done
% 12.97/13.37
% 12.97/13.37
% 12.97/13.37 Intermediate Status:
% 12.97/13.37 Generated: 27742
% 12.97/13.37 Kept: 16011
% 12.97/13.37 Inuse: 4575
% 12.97/13.37 Deleted: 95
% 12.97/13.37 Deletedinuse: 0
% 12.97/13.37
% 12.97/13.37 Resimplifying inuse:
% 12.97/13.37 Done
% 12.97/13.37
% 12.97/13.37 Resimplifying inuse:
% 12.97/13.37 Done
% 12.97/13.37
% 12.97/13.37
% 12.97/13.37 Intermediate Status:
% 12.97/13.37 Generated: 31389
% 12.97/13.37 Kept: 18016
% 12.97/13.37 Inuse: 5173
% 12.97/13.37 Deleted: 107
% 12.97/13.37 Deletedinuse: 0
% 12.97/13.37
% 12.97/13.37 Resimplifying inuse:
% 12.97/13.37 Done
% 12.97/13.37
% 12.97/13.37 Resimplifying inuse:
% 12.97/13.37 Done
% 12.97/13.37
% 12.97/13.37 Resimplifying clauses:
% 12.97/13.37 Done
% 12.97/13.37
% 12.97/13.37
% 12.97/13.37 Intermediate Status:
% 40.51/40.92 Generated: 35129
% 40.51/40.92 Kept: 20020
% 40.51/40.92 Inuse: 5808
% 40.51/40.92 Deleted: 1058
% 40.51/40.92 Deletedinuse: 0
% 40.51/40.92
% 40.51/40.92 Resimplifying inuse:
% 40.51/40.92 Done
% 40.51/40.92
% 40.51/40.92 Resimplifying inuse:
% 40.51/40.92 Done
% 40.51/40.92
% 40.51/40.92
% 40.51/40.92 Intermediate Status:
% 40.51/40.92 Generated: 38407
% 40.51/40.92 Kept: 22020
% 40.51/40.92 Inuse: 6379
% 40.51/40.92 Deleted: 1058
% 40.51/40.92 Deletedinuse: 0
% 40.51/40.92
% 40.51/40.92 Resimplifying inuse:
% 40.51/40.92 Done
% 40.51/40.92
% 40.51/40.92 Resimplifying inuse:
% 40.51/40.92 Done
% 40.51/40.92
% 40.51/40.92
% 40.51/40.92 Intermediate Status:
% 40.51/40.92 Generated: 41584
% 40.51/40.92 Kept: 24023
% 40.51/40.92 Inuse: 6938
% 40.51/40.92 Deleted: 1058
% 40.51/40.92 Deletedinuse: 0
% 40.51/40.92
% 40.51/40.92 Resimplifying inuse:
% 40.51/40.92 Done
% 40.51/40.92
% 40.51/40.92 Resimplifying inuse:
% 40.51/40.92 Done
% 40.51/40.92
% 40.51/40.92
% 40.51/40.92 Intermediate Status:
% 40.51/40.92 Generated: 44451
% 40.51/40.92 Kept: 26028
% 40.51/40.92 Inuse: 7447
% 40.51/40.92 Deleted: 1058
% 40.51/40.92 Deletedinuse: 0
% 40.51/40.92
% 40.51/40.92 Resimplifying inuse:
% 40.51/40.92 Done
% 40.51/40.92
% 40.51/40.92 Resimplifying inuse:
% 40.51/40.92 Done
% 40.51/40.92
% 40.51/40.92
% 40.51/40.92 Intermediate Status:
% 40.51/40.92 Generated: 47635
% 40.51/40.92 Kept: 28030
% 40.51/40.92 Inuse: 7999
% 40.51/40.92 Deleted: 1058
% 40.51/40.92 Deletedinuse: 0
% 40.51/40.92
% 40.51/40.92 Resimplifying inuse:
% 40.51/40.92 Done
% 40.51/40.92
% 40.51/40.92 Resimplifying inuse:
% 40.51/40.92 Done
% 40.51/40.92
% 40.51/40.92
% 40.51/40.92 Intermediate Status:
% 40.51/40.92 Generated: 50657
% 40.51/40.92 Kept: 30031
% 40.51/40.92 Inuse: 8517
% 40.51/40.92 Deleted: 1058
% 40.51/40.92 Deletedinuse: 0
% 40.51/40.92
% 40.51/40.92 Resimplifying inuse:
% 40.51/40.92 Done
% 40.51/40.92
% 40.51/40.92 Resimplifying inuse:
% 40.51/40.92 Done
% 40.51/40.92
% 40.51/40.92
% 40.51/40.92 Intermediate Status:
% 40.51/40.92 Generated: 54128
% 40.51/40.92 Kept: 32033
% 40.51/40.92 Inuse: 9110
% 40.51/40.92 Deleted: 1058
% 40.51/40.92 Deletedinuse: 0
% 40.51/40.92
% 40.51/40.92 Resimplifying inuse:
% 40.51/40.92 Done
% 40.51/40.92
% 40.51/40.92 Resimplifying inuse:
% 40.51/40.92 Done
% 40.51/40.92
% 40.51/40.92
% 40.51/40.92 Intermediate Status:
% 40.51/40.92 Generated: 58048
% 40.51/40.92 Kept: 34033
% 40.51/40.92 Inuse: 9785
% 40.51/40.92 Deleted: 1058
% 40.51/40.92 Deletedinuse: 0
% 40.51/40.92
% 40.51/40.92 Resimplifying inuse:
% 40.51/40.92 Done
% 40.51/40.92
% 40.51/40.92 Resimplifying inuse:
% 40.51/40.92 Done
% 40.51/40.92
% 40.51/40.92
% 40.51/40.92 Intermediate Status:
% 40.51/40.92 Generated: 62120
% 40.51/40.92 Kept: 36035
% 40.51/40.92 Inuse: 10440
% 40.51/40.92 Deleted: 1058
% 40.51/40.92 Deletedinuse: 0
% 40.51/40.92
% 40.51/40.92 Resimplifying inuse:
% 40.51/40.92 Done
% 40.51/40.92
% 40.51/40.92 Resimplifying inuse:
% 40.51/40.92 Done
% 40.51/40.92
% 40.51/40.92
% 40.51/40.92 Intermediate Status:
% 40.51/40.92 Generated: 66132
% 40.51/40.92 Kept: 38035
% 40.51/40.92 Inuse: 11057
% 40.51/40.92 Deleted: 1058
% 40.51/40.92 Deletedinuse: 0
% 40.51/40.92
% 40.51/40.92 Resimplifying inuse:
% 40.51/40.92 Done
% 40.51/40.92
% 40.51/40.92 Resimplifying inuse:
% 40.51/40.92 Done
% 40.51/40.92
% 40.51/40.92 Resimplifying clauses:
% 40.51/40.92 Done
% 40.51/40.92
% 40.51/40.92
% 40.51/40.92 Intermediate Status:
% 40.51/40.92 Generated: 69628
% 40.51/40.92 Kept: 40036
% 40.51/40.92 Inuse: 11653
% 40.51/40.92 Deleted: 2092
% 40.51/40.92 Deletedinuse: 24
% 40.51/40.92
% 40.51/40.92 Resimplifying inuse:
% 40.51/40.92 Done
% 40.51/40.92
% 40.51/40.92 Resimplifying inuse:
% 40.51/40.92 Done
% 40.51/40.92
% 40.51/40.92
% 40.51/40.92 Intermediate Status:
% 40.51/40.92 Generated: 72662
% 40.51/40.92 Kept: 42038
% 40.51/40.92 Inuse: 12203
% 40.51/40.92 Deleted: 2092
% 40.51/40.92 Deletedinuse: 24
% 40.51/40.92
% 40.51/40.92 Resimplifying inuse:
% 40.51/40.92 Done
% 40.51/40.92
% 40.51/40.92 Resimplifying inuse:
% 40.51/40.92 Done
% 40.51/40.92
% 40.51/40.92
% 40.51/40.92 Intermediate Status:
% 40.51/40.92 Generated: 76686
% 40.51/40.92 Kept: 44039
% 40.51/40.92 Inuse: 12847
% 40.51/40.92 Deleted: 2092
% 40.51/40.92 Deletedinuse: 24
% 40.51/40.92
% 40.51/40.92 Resimplifying inuse:
% 40.51/40.92 Done
% 40.51/40.92
% 40.51/40.92 Resimplifying inuse:
% 40.51/40.92 Done
% 40.51/40.92
% 40.51/40.92
% 40.51/40.92 Intermediate Status:
% 40.51/40.92 Generated: 80859
% 40.51/40.92 Kept: 46040
% 40.51/40.92 Inuse: 13497
% 40.51/40.92 Deleted: 2092
% 40.51/40.92 Deletedinuse: 24
% 40.51/40.92
% 40.51/40.92 Resimplifying inuse:
% 40.51/40.92 Done
% 40.51/40.92
% 40.51/40.92 Resimplifying inuse:
% 40.51/40.92 Done
% 40.51/40.92
% 40.51/40.92
% 40.51/40.92 Intermediate Status:
% 40.51/40.92 Generated: 83891
% 40.51/40.92 Kept: 48040
% 40.51/40.92 Inuse: 13996
% 40.51/40.92 Deleted: 2092
% 40.51/40.92 Deletedinuse: 24
% 40.51/40.92
% 40.51/40.92 Resimplifying inuse:
% 40.51/40.92 Done
% 40.51/40.92
% 40.51/40.92 Resimplifying inuse:
% 40.51/40.92 Done
% 40.51/40.92
% 40.51/40.92
% 40.51/40.92 Intermediate Status:
% 40.51/40.92 Generated: 86825
% 40.51/40.92 Kept: 50040
% 40.51/40.92 Inuse: 14495
% 40.51/40.92 Deleted: 2092
% 40.51/40.92 Deletedinuse: 24
% 40.51/40.92
% 40.51/40.92 Resimplifying inuse:
% 40.51/40.92 Done
% 40.51/40.92
% 40.51/40.92 Resimplifying inuse:
% 40.51/40.92 Done
% 40.51/40.92
% 40.51/40.92
% 40.51/40.92 Intermediate Status:
% 40.51/40.92 Generated: 90235
% 40.51/40.92 Kept: 52045
% 40.51/40.92 Inuse: 15051
% 40.51/40.92 Deleted: 2092
% 40.51/40.92 Deletedinuse: 24
% 40.51/40.92
% 40.51/40.92 Resimplifying inuse:
% 40.51/40.92 Done
% 40.51/40.92
% 40.51/40.92 Resimplifying inuse:
% 40.51/40.92 Done
% 40.51/40.92
% 40.51/40.92
% 40.51/40.92 Intermediate Status:
% 40.51/40.92 Generated: 93069
% 40.51/40.92 Kept: 54045
% 40.51/40.92 Inuse: 15516
% 40.51/40.92 Deleted: 2092
% 40.51/40.92 Deletedinuse: 24
% 40.51/40.92
% 40.51/40.92 Resimplifying inuse:
% 40.51/40.92 Done
% 40.51/40.92
% 40.51/40.92 Resimplifying inuse:
% 40.51/40.92 Done
% 40.51/40.92
% 40.51/40.92
% 40.51/40.92 Intermediate Status:
% 40.51/40.92 Generated: 97023
% 40.51/40.92 Kept: 56050
% 40.51/40.92 Inuse: 16083
% 40.51/40.92 Deleted: 2092
% 40.51/40.92 Deletedinuse: 24
% 40.51/40.92
% 40.51/40.92 Resimplifying inuse:
% 40.51/40.92 Done
% 40.51/40.92
% 40.51/40.92 Resimplifying inuse:
% 40.51/40.92 Done
% 40.51/40.92
% 40.51/40.92
% 40.51/40.92 Intermediate Status:
% 40.51/40.92 Generated: 100983
% 40.51/40.92 Kept: 58050
% 40.51/40.92 Inuse: 16673
% 40.51/40.92 Deleted: 2092
% 40.51/40.92 Deletedinuse: 24
% 40.51/40.92
% 40.51/40.92 Resimplifying inuse:
% 40.51/40.92 Done
% 40.51/40.92
% 40.51/40.92 Resimplifying inuse:
% 40.51/40.92 Done
% 40.51/40.92
% 40.51/40.92 Resimplifying clauses:
% 40.51/40.92 Done
% 40.51/40.92
% 40.51/40.92
% 40.51/40.92 Intermediate Status:
% 40.51/40.92 Generated: 104403
% 40.51/40.92 Kept: 60055
% 40.51/40.92 Inuse: 17188
% 40.51/40.92 Deleted: 3183
% 40.51/40.92 Deletedinuse: 24
% 40.51/40.92
% 40.51/40.92 Resimplifying inuse:
% 40.51/40.92 Done
% 40.51/40.92
% 40.51/40.92 Resimplifying inuse:
% 40.51/40.92 Done
% 40.51/40.92
% 40.51/40.92
% 40.51/40.92 Intermediate Status:
% 40.51/40.92 Generated: 107568
% 40.51/40.92 Kept: 62062
% 40.51/40.92 Inuse: 17700
% 40.51/40.92 Deleted: 3183
% 40.51/40.92 Deletedinuse: 24
% 40.51/40.92
% 40.51/40.92 Resimplifying inuse:
% 40.51/40.92 Done
% 40.51/40.92
% 40.51/40.92 Resimplifying inuse:
% 40.51/40.92 Done
% 40.51/40.92
% 40.51/40.92
% 40.51/40.92 Intermediate Status:
% 40.51/40.92 Generated: 111127
% 40.51/40.92 Kept: 64064
% 40.51/40.92 Inuse: 18250
% 40.51/40.92 Deleted: 3183
% 40.51/40.92 Deletedinuse: 24
% 40.51/40.92
% 40.51/40.92 Resimplifying inuse:
% 40.51/40.92 Done
% 40.51/40.92
% 40.51/40.92 Resimplifying inuse:
% 40.51/40.92 Done
% 40.51/40.92
% 40.51/40.92
% 40.51/40.92 Intermediate Status:
% 40.51/40.92 Generated: 114570
% 40.51/40.92 Kept: 66067
% 40.51/40.92 Inuse: 18760
% 40.51/40.92 Deleted: 3183
% 61.63/62.07 Deletedinuse: 24
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07 Intermediate Status:
% 61.63/62.07 Generated: 117869
% 61.63/62.07 Kept: 68068
% 61.63/62.07 Inuse: 19258
% 61.63/62.07 Deleted: 3183
% 61.63/62.07 Deletedinuse: 24
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07 Intermediate Status:
% 61.63/62.07 Generated: 121114
% 61.63/62.07 Kept: 70068
% 61.63/62.07 Inuse: 19812
% 61.63/62.07 Deleted: 3183
% 61.63/62.07 Deletedinuse: 24
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07 Intermediate Status:
% 61.63/62.07 Generated: 124426
% 61.63/62.07 Kept: 72075
% 61.63/62.07 Inuse: 20344
% 61.63/62.07 Deleted: 3183
% 61.63/62.07 Deletedinuse: 24
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07 Intermediate Status:
% 61.63/62.07 Generated: 127125
% 61.63/62.07 Kept: 74075
% 61.63/62.07 Inuse: 20848
% 61.63/62.07 Deleted: 3183
% 61.63/62.07 Deletedinuse: 24
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07 Intermediate Status:
% 61.63/62.07 Generated: 130821
% 61.63/62.07 Kept: 76075
% 61.63/62.07 Inuse: 21487
% 61.63/62.07 Deleted: 3183
% 61.63/62.07 Deletedinuse: 24
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07 Intermediate Status:
% 61.63/62.07 Generated: 134681
% 61.63/62.07 Kept: 78075
% 61.63/62.07 Inuse: 22141
% 61.63/62.07 Deleted: 3183
% 61.63/62.07 Deletedinuse: 24
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07 Resimplifying clauses:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07 Intermediate Status:
% 61.63/62.07 Generated: 138291
% 61.63/62.07 Kept: 80082
% 61.63/62.07 Inuse: 22743
% 61.63/62.07 Deleted: 4122
% 61.63/62.07 Deletedinuse: 24
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07 Intermediate Status:
% 61.63/62.07 Generated: 142087
% 61.63/62.07 Kept: 82084
% 61.63/62.07 Inuse: 23373
% 61.63/62.07 Deleted: 4122
% 61.63/62.07 Deletedinuse: 24
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07 Intermediate Status:
% 61.63/62.07 Generated: 145508
% 61.63/62.07 Kept: 84084
% 61.63/62.07 Inuse: 23943
% 61.63/62.07 Deleted: 4122
% 61.63/62.07 Deletedinuse: 24
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07 Intermediate Status:
% 61.63/62.07 Generated: 148887
% 61.63/62.07 Kept: 86089
% 61.63/62.07 Inuse: 24503
% 61.63/62.07 Deleted: 4122
% 61.63/62.07 Deletedinuse: 24
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07 Intermediate Status:
% 61.63/62.07 Generated: 152363
% 61.63/62.07 Kept: 88089
% 61.63/62.07 Inuse: 25092
% 61.63/62.07 Deleted: 4122
% 61.63/62.07 Deletedinuse: 24
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07 Intermediate Status:
% 61.63/62.07 Generated: 155461
% 61.63/62.07 Kept: 90091
% 61.63/62.07 Inuse: 25619
% 61.63/62.07 Deleted: 4122
% 61.63/62.07 Deletedinuse: 24
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07 Intermediate Status:
% 61.63/62.07 Generated: 158290
% 61.63/62.07 Kept: 92091
% 61.63/62.07 Inuse: 26095
% 61.63/62.07 Deleted: 4122
% 61.63/62.07 Deletedinuse: 24
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07 Intermediate Status:
% 61.63/62.07 Generated: 161534
% 61.63/62.07 Kept: 94091
% 61.63/62.07 Inuse: 26650
% 61.63/62.07 Deleted: 4122
% 61.63/62.07 Deletedinuse: 24
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07 Intermediate Status:
% 61.63/62.07 Generated: 165517
% 61.63/62.07 Kept: 96094
% 61.63/62.07 Inuse: 27308
% 61.63/62.07 Deleted: 4122
% 61.63/62.07 Deletedinuse: 24
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07 Intermediate Status:
% 61.63/62.07 Generated: 168777
% 61.63/62.07 Kept: 98094
% 61.63/62.07 Inuse: 27890
% 61.63/62.07 Deleted: 4122
% 61.63/62.07 Deletedinuse: 24
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07 Resimplifying clauses:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07 Intermediate Status:
% 61.63/62.07 Generated: 171671
% 61.63/62.07 Kept: 100095
% 61.63/62.07 Inuse: 28402
% 61.63/62.07 Deleted: 4946
% 61.63/62.07 Deletedinuse: 24
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07 Intermediate Status:
% 61.63/62.07 Generated: 174558
% 61.63/62.07 Kept: 102097
% 61.63/62.07 Inuse: 28918
% 61.63/62.07 Deleted: 4946
% 61.63/62.07 Deletedinuse: 24
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07 Intermediate Status:
% 61.63/62.07 Generated: 177689
% 61.63/62.07 Kept: 104101
% 61.63/62.07 Inuse: 29498
% 61.63/62.07 Deleted: 4946
% 61.63/62.07 Deletedinuse: 24
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07 Intermediate Status:
% 61.63/62.07 Generated: 180957
% 61.63/62.07 Kept: 106107
% 61.63/62.07 Inuse: 30108
% 61.63/62.07 Deleted: 4946
% 61.63/62.07 Deletedinuse: 24
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07 Intermediate Status:
% 61.63/62.07 Generated: 184284
% 61.63/62.07 Kept: 108110
% 61.63/62.07 Inuse: 30673
% 61.63/62.07 Deleted: 4946
% 61.63/62.07 Deletedinuse: 24
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07 Intermediate Status:
% 61.63/62.07 Generated: 187646
% 61.63/62.07 Kept: 110110
% 61.63/62.07 Inuse: 31260
% 61.63/62.07 Deleted: 4946
% 61.63/62.07 Deletedinuse: 24
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07 Intermediate Status:
% 61.63/62.07 Generated: 191035
% 61.63/62.07 Kept: 112113
% 61.63/62.07 Inuse: 31835
% 61.63/62.07 Deleted: 4946
% 61.63/62.07 Deletedinuse: 24
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07 Intermediate Status:
% 61.63/62.07 Generated: 194324
% 61.63/62.07 Kept: 114113
% 61.63/62.07 Inuse: 32421
% 61.63/62.07 Deleted: 4946
% 61.63/62.07 Deletedinuse: 24
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07 Intermediate Status:
% 61.63/62.07 Generated: 197948
% 61.63/62.07 Kept: 116116
% 61.63/62.07 Inuse: 33046
% 61.63/62.07 Deleted: 4946
% 61.63/62.07 Deletedinuse: 24
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07 Intermediate Status:
% 61.63/62.07 Generated: 201338
% 61.63/62.07 Kept: 118119
% 61.63/62.07 Inuse: 33611
% 61.63/62.07 Deleted: 4946
% 61.63/62.07 Deletedinuse: 24
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07 Resimplifying clauses:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07 Intermediate Status:
% 61.63/62.07 Generated: 204747
% 61.63/62.07 Kept: 120121
% 61.63/62.07 Inuse: 34194
% 61.63/62.07 Deleted: 5743
% 61.63/62.07 Deletedinuse: 24
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07 Intermediate Status:
% 61.63/62.07 Generated: 208065
% 61.63/62.07 Kept: 122121
% 61.63/62.07 Inuse: 34761
% 61.63/62.07 Deleted: 5743
% 61.63/62.07 Deletedinuse: 24
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07 Intermediate Status:
% 61.63/62.07 Generated: 211073
% 61.63/62.07 Kept: 124122
% 61.63/62.07 Inuse: 35303
% 61.63/62.07 Deleted: 5743
% 61.63/62.07 Deletedinuse: 24
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07 Intermediate Status:
% 61.63/62.07 Generated: 213955
% 61.63/62.07 Kept: 126123
% 61.63/62.07 Inuse: 35805
% 61.63/62.07 Deleted: 5743
% 61.63/62.07 Deletedinuse: 24
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07 Intermediate Status:
% 61.63/62.07 Generated: 216880
% 61.63/62.07 Kept: 128127
% 61.63/62.07 Inuse: 36330
% 61.63/62.07 Deleted: 5743
% 61.63/62.07 Deletedinuse: 24
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07 Intermediate Status:
% 61.63/62.07 Generated: 219831
% 61.63/62.07 Kept: 130130
% 61.63/62.07 Inuse: 36833
% 61.63/62.07 Deleted: 5743
% 61.63/62.07 Deletedinuse: 24
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07 Resimplifying inuse:
% 61.63/62.07 Done
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07 Bliksems!, er is een bewijs:
% 61.63/62.07 % SZS status Unsatisfiable
% 61.63/62.07 % SZS output start Refutation
% 61.63/62.07
% 61.63/62.07 clause( 0, [ axiom( or( not( or( X, X ) ), X ) ) ] )
% 61.63/62.07 .
% 61.63/62.07 clause( 1, [ axiom( or( not( X ), or( Y, X ) ) ) ] )
% 61.63/62.07 .
% 61.63/62.07 clause( 2, [ axiom( or( not( or( X, Y ) ), or( Y, X ) ) ) ] )
% 61.63/62.07 .
% 61.63/62.07 clause( 3, [ axiom( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z ) ) ) )
% 61.63/62.07 ] )
% 61.63/62.07 .
% 61.63/62.07 clause( 4, [ axiom( or( not( or( not( X ), Y ) ), or( not( or( Z, X ) ), or(
% 61.63/62.07 Z, Y ) ) ) ) ] )
% 61.63/62.07 .
% 61.63/62.07 clause( 5, [ theorem( X ), ~( axiom( X ) ) ] )
% 61.63/62.07 .
% 61.63/62.07 clause( 6, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( or( not( Y ), X ) )
% 61.63/62.07 ) ] )
% 61.63/62.07 .
% 61.63/62.07 clause( 7, [ theorem( or( not( X ), Y ) ), ~( theorem( or( not( Z ), Y ) )
% 61.63/62.07 ), ~( axiom( or( not( X ), Z ) ) ) ] )
% 61.63/62.07 .
% 61.63/62.07 clause( 8, [ ~( theorem( or( not( or( not( p ), q ) ), or( not( or( or( p,
% 61.63/62.07 q ), r ) ), or( q, r ) ) ) ) ) ] )
% 61.63/62.07 .
% 61.63/62.07 clause( 11, [ theorem( or( not( or( X, Y ) ), or( Y, X ) ) ) ] )
% 61.63/62.07 .
% 61.63/62.07 clause( 18, [ theorem( or( X, or( Y, Z ) ) ), ~( theorem( or( Y, or( X, Z )
% 61.63/62.07 ) ) ) ] )
% 61.63/62.07 .
% 61.63/62.07 clause( 27, [ theorem( or( not( or( X, Y ) ), or( X, Z ) ) ), ~( theorem(
% 61.63/62.07 or( not( Y ), Z ) ) ) ] )
% 61.63/62.07 .
% 61.63/62.07 clause( 34, [ theorem( or( not( or( not( X ), Y ) ), Z ) ), ~( theorem( or(
% 61.63/62.07 not( or( not( or( T, X ) ), or( T, Y ) ) ), Z ) ) ) ] )
% 61.63/62.07 .
% 61.63/62.07 clause( 35, [ theorem( or( not( or( X, or( Y, Z ) ) ), T ) ), ~( theorem(
% 61.63/62.07 or( not( or( Y, or( X, Z ) ) ), T ) ) ) ] )
% 61.63/62.07 .
% 61.63/62.07 clause( 36, [ theorem( or( not( or( X, Y ) ), Z ) ), ~( theorem( or( not(
% 61.63/62.07 or( Y, X ) ), Z ) ) ) ] )
% 61.63/62.07 .
% 61.63/62.07 clause( 37, [ theorem( or( not( or( X, X ) ), Y ) ), ~( theorem( or( not( X
% 61.63/62.07 ), Y ) ) ) ] )
% 61.63/62.07 .
% 61.63/62.07 clause( 38, [ theorem( or( not( X ), Y ) ), ~( theorem( or( not( or( Z, X )
% 61.63/62.07 ), Y ) ) ) ] )
% 61.63/62.07 .
% 61.63/62.07 clause( 193, [ theorem( or( not( or( or( X, Y ), or( X, Y ) ) ), or( Y, X )
% 61.63/62.07 ) ) ] )
% 61.63/62.07 .
% 61.63/62.07 clause( 1939, [ theorem( or( not( or( X, or( or( X, Y ), Y ) ) ), or( Y, X
% 61.63/62.07 ) ) ) ] )
% 61.63/62.07 .
% 61.63/62.07 clause( 6467, [ theorem( or( not( or( or( X, Y ), Y ) ), or( Y, X ) ) ) ]
% 61.63/62.07 )
% 61.63/62.07 .
% 61.63/62.07 clause( 6477, [ theorem( or( not( or( X, or( or( Y, Z ), Z ) ) ), or( X, or(
% 61.63/62.07 Z, Y ) ) ) ) ] )
% 61.63/62.07 .
% 61.63/62.07 clause( 28578, [ theorem( or( not( or( not( X ), Y ) ), or( not( or( or( Z
% 61.63/62.07 , Y ), X ) ), or( Y, Z ) ) ) ) ] )
% 61.63/62.07 .
% 61.63/62.07 clause( 131044, [ theorem( or( not( or( X, not( Y ) ) ), or( not( or( or( Z
% 61.63/62.07 , X ), Y ) ), or( X, Z ) ) ) ) ] )
% 61.63/62.07 .
% 61.63/62.07 clause( 131054, [ theorem( or( not( or( or( X, Y ), Z ) ), or( not( or( Y,
% 61.63/62.07 not( Z ) ) ), or( Y, X ) ) ) ) ] )
% 61.63/62.07 .
% 61.63/62.07 clause( 131290, [ theorem( or( not( or( X, or( Y, Z ) ) ), or( not( or( Z,
% 61.63/62.07 not( X ) ) ), or( Z, Y ) ) ) ) ] )
% 61.63/62.07 .
% 61.63/62.07 clause( 131296, [ theorem( or( not( or( X, or( Y, Z ) ) ), or( not( or( Z,
% 61.63/62.07 not( Y ) ) ), or( Z, X ) ) ) ) ] )
% 61.63/62.07 .
% 61.63/62.07 clause( 131303, [ theorem( or( not( or( or( X, Y ), Z ) ), or( not( or( Y,
% 61.63/62.07 not( X ) ) ), or( Y, Z ) ) ) ) ] )
% 61.63/62.07 .
% 61.63/62.07 clause( 131315, [ theorem( or( not( or( X, not( Y ) ) ), or( not( or( or( Y
% 61.63/62.07 , X ), Z ) ), or( X, Z ) ) ) ) ] )
% 61.63/62.07 .
% 61.63/62.07 clause( 131319, [ theorem( or( not( or( not( X ), Y ) ), or( not( or( or( X
% 61.63/62.07 , Y ), Z ) ), or( Y, Z ) ) ) ) ] )
% 61.63/62.07 .
% 61.63/62.07 clause( 131328, [] )
% 61.63/62.07 .
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07 % SZS output end Refutation
% 61.63/62.07 found a proof!
% 61.63/62.07
% 61.63/62.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 61.63/62.07
% 61.63/62.07 initialclauses(
% 61.63/62.07 [ clause( 131330, [ axiom( or( not( or( X, X ) ), X ) ) ] )
% 61.63/62.07 , clause( 131331, [ axiom( or( not( X ), or( Y, X ) ) ) ] )
% 61.63/62.07 , clause( 131332, [ axiom( or( not( or( X, Y ) ), or( Y, X ) ) ) ] )
% 61.63/62.07 , clause( 131333, [ axiom( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z
% 61.63/62.07 ) ) ) ) ] )
% 61.63/62.07 , clause( 131334, [ axiom( or( not( or( not( X ), Y ) ), or( not( or( Z, X
% 61.63/62.07 ) ), or( Z, Y ) ) ) ) ] )
% 61.63/62.07 , clause( 131335, [ theorem( X ), ~( axiom( X ) ) ] )
% 61.63/62.07 , clause( 131336, [ theorem( X ), ~( axiom( or( not( Y ), X ) ) ), ~(
% 61.63/62.07 theorem( Y ) ) ] )
% 61.63/62.07 , clause( 131337, [ theorem( or( not( X ), Y ) ), ~( axiom( or( not( X ), Z
% 61.63/62.07 ) ) ), ~( theorem( or( not( Z ), Y ) ) ) ] )
% 61.63/62.07 , clause( 131338, [ ~( theorem( or( not( or( not( p ), q ) ), or( not( or(
% 61.63/62.07 or( p, q ), r ) ), or( q, r ) ) ) ) ) ] )
% 61.63/62.07 ] ).
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07 subsumption(
% 61.63/62.07 clause( 0, [ axiom( or( not( or( X, X ) ), X ) ) ] )
% 61.63/62.07 , clause( 131330, [ axiom( or( not( or( X, X ) ), X ) ) ] )
% 61.63/62.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07 subsumption(
% 61.63/62.07 clause( 1, [ axiom( or( not( X ), or( Y, X ) ) ) ] )
% 61.63/62.07 , clause( 131331, [ axiom( or( not( X ), or( Y, X ) ) ) ] )
% 61.63/62.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 61.63/62.07 )] ) ).
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07 subsumption(
% 61.63/62.07 clause( 2, [ axiom( or( not( or( X, Y ) ), or( Y, X ) ) ) ] )
% 61.63/62.07 , clause( 131332, [ axiom( or( not( or( X, Y ) ), or( Y, X ) ) ) ] )
% 61.63/62.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 61.63/62.07 )] ) ).
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07 subsumption(
% 61.63/62.07 clause( 3, [ axiom( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z ) ) ) )
% 61.63/62.07 ] )
% 61.63/62.07 , clause( 131333, [ axiom( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z
% 61.63/62.07 ) ) ) ) ] )
% 61.63/62.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 61.63/62.07 permutation( 0, [ ==>( 0, 0 )] ) ).
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07 subsumption(
% 61.63/62.07 clause( 4, [ axiom( or( not( or( not( X ), Y ) ), or( not( or( Z, X ) ), or(
% 61.63/62.07 Z, Y ) ) ) ) ] )
% 61.63/62.07 , clause( 131334, [ axiom( or( not( or( not( X ), Y ) ), or( not( or( Z, X
% 61.63/62.07 ) ), or( Z, Y ) ) ) ) ] )
% 61.63/62.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 61.63/62.07 permutation( 0, [ ==>( 0, 0 )] ) ).
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07 subsumption(
% 61.63/62.07 clause( 5, [ theorem( X ), ~( axiom( X ) ) ] )
% 61.63/62.07 , clause( 131335, [ theorem( X ), ~( axiom( X ) ) ] )
% 61.63/62.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 61.63/62.07 1 )] ) ).
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07 subsumption(
% 61.63/62.07 clause( 6, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( or( not( Y ), X ) )
% 61.63/62.07 ) ] )
% 61.63/62.07 , clause( 131336, [ theorem( X ), ~( axiom( or( not( Y ), X ) ) ), ~(
% 61.63/62.07 theorem( Y ) ) ] )
% 61.63/62.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 61.63/62.07 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07 subsumption(
% 61.63/62.07 clause( 7, [ theorem( or( not( X ), Y ) ), ~( theorem( or( not( Z ), Y ) )
% 61.63/62.07 ), ~( axiom( or( not( X ), Z ) ) ) ] )
% 61.63/62.07 , clause( 131337, [ theorem( or( not( X ), Y ) ), ~( axiom( or( not( X ), Z
% 61.63/62.07 ) ) ), ~( theorem( or( not( Z ), Y ) ) ) ] )
% 61.63/62.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 61.63/62.07 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07 subsumption(
% 61.63/62.07 clause( 8, [ ~( theorem( or( not( or( not( p ), q ) ), or( not( or( or( p,
% 61.63/62.07 q ), r ) ), or( q, r ) ) ) ) ) ] )
% 61.63/62.07 , clause( 131338, [ ~( theorem( or( not( or( not( p ), q ) ), or( not( or(
% 61.63/62.07 or( p, q ), r ) ), or( q, r ) ) ) ) ) ] )
% 61.63/62.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07 resolution(
% 61.63/62.07 clause( 131339, [ theorem( or( not( or( X, Y ) ), or( Y, X ) ) ) ] )
% 61.63/62.07 , clause( 5, [ theorem( X ), ~( axiom( X ) ) ] )
% 61.63/62.07 , 1, clause( 2, [ axiom( or( not( or( X, Y ) ), or( Y, X ) ) ) ] )
% 61.63/62.07 , 0, substitution( 0, [ :=( X, or( not( or( X, Y ) ), or( Y, X ) ) )] ),
% 61.63/62.07 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07 subsumption(
% 61.63/62.07 clause( 11, [ theorem( or( not( or( X, Y ) ), or( Y, X ) ) ) ] )
% 61.63/62.07 , clause( 131339, [ theorem( or( not( or( X, Y ) ), or( Y, X ) ) ) ] )
% 61.63/62.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 61.63/62.07 )] ) ).
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07 resolution(
% 61.63/62.07 clause( 131340, [ theorem( or( X, or( Y, Z ) ) ), ~( theorem( or( Y, or( X
% 61.63/62.07 , Z ) ) ) ) ] )
% 61.63/62.07 , clause( 6, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( or( not( Y ), X )
% 61.63/62.07 ) ) ] )
% 61.63/62.07 , 2, clause( 3, [ axiom( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z )
% 61.63/62.07 ) ) ) ] )
% 61.63/62.07 , 0, substitution( 0, [ :=( X, or( X, or( Y, Z ) ) ), :=( Y, or( Y, or( X,
% 61.63/62.07 Z ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07 subsumption(
% 61.63/62.07 clause( 18, [ theorem( or( X, or( Y, Z ) ) ), ~( theorem( or( Y, or( X, Z )
% 61.63/62.07 ) ) ) ] )
% 61.63/62.07 , clause( 131340, [ theorem( or( X, or( Y, Z ) ) ), ~( theorem( or( Y, or(
% 61.63/62.07 X, Z ) ) ) ) ] )
% 61.63/62.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 61.63/62.07 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07 resolution(
% 61.63/62.07 clause( 131341, [ theorem( or( not( or( X, Y ) ), or( X, Z ) ) ), ~(
% 61.63/62.07 theorem( or( not( Y ), Z ) ) ) ] )
% 61.63/62.07 , clause( 6, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( or( not( Y ), X )
% 61.63/62.07 ) ) ] )
% 61.63/62.07 , 2, clause( 4, [ axiom( or( not( or( not( X ), Y ) ), or( not( or( Z, X )
% 61.63/62.07 ), or( Z, Y ) ) ) ) ] )
% 61.63/62.07 , 0, substitution( 0, [ :=( X, or( not( or( X, Y ) ), or( X, Z ) ) ), :=( Y
% 61.63/62.07 , or( not( Y ), Z ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=(
% 61.63/62.07 Z, X )] )).
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07 subsumption(
% 61.63/62.07 clause( 27, [ theorem( or( not( or( X, Y ) ), or( X, Z ) ) ), ~( theorem(
% 61.63/62.07 or( not( Y ), Z ) ) ) ] )
% 61.63/62.07 , clause( 131341, [ theorem( or( not( or( X, Y ) ), or( X, Z ) ) ), ~(
% 61.63/62.07 theorem( or( not( Y ), Z ) ) ) ] )
% 61.63/62.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 61.63/62.07 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 61.63/62.07
% 61.63/62.07
% 61.63/62.07 resolution(
% 61.63/62.07 clause( 131342, [ theorem( or( not( or( not( X ), Y ) ), Z ) ), ~( theorem(
% 61.63/62.07 or( not( or( not( or( T, X ) ), or( T, Y ) ) ), Z ) ) ) ] )
% 61.63/62.07 , clause( 7, [ theorem( or( not( X ), Y ) ), ~( theorem( or( not( Z ), Y )
% 61.63/62.08 ) ), ~( axiom( or( not( X ), Z ) ) ) ] )
% 61.63/62.08 , 2, clause( 4, [ axiom( or( not( or( not( X ), Y ) ), or( not( or( Z, X )
% 61.63/62.08 ), or( Z, Y ) ) ) ) ] )
% 61.63/62.08 , 0, substitution( 0, [ :=( X, or( not( X ), Y ) ), :=( Y, Z ), :=( Z, or(
% 61.63/62.08 not( or( T, X ) ), or( T, Y ) ) )] ), substitution( 1, [ :=( X, X ), :=(
% 61.63/62.08 Y, Y ), :=( Z, T )] )).
% 61.63/62.08
% 61.63/62.08
% 61.63/62.08 subsumption(
% 61.63/62.08 clause( 34, [ theorem( or( not( or( not( X ), Y ) ), Z ) ), ~( theorem( or(
% 61.63/62.08 not( or( not( or( T, X ) ), or( T, Y ) ) ), Z ) ) ) ] )
% 61.63/62.08 , clause( 131342, [ theorem( or( not( or( not( X ), Y ) ), Z ) ), ~(
% 61.63/62.08 theorem( or( not( or( not( or( T, X ) ), or( T, Y ) ) ), Z ) ) ) ] )
% 61.63/62.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 61.63/62.08 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 61.63/62.08
% 61.63/62.08
% 61.63/62.08 resolution(
% 61.63/62.08 clause( 131343, [ theorem( or( not( or( X, or( Y, Z ) ) ), T ) ), ~(
% 61.63/62.08 theorem( or( not( or( Y, or( X, Z ) ) ), T ) ) ) ] )
% 61.63/62.08 , clause( 7, [ theorem( or( not( X ), Y ) ), ~( theorem( or( not( Z ), Y )
% 61.63/62.08 ) ), ~( axiom( or( not( X ), Z ) ) ) ] )
% 61.63/62.08 , 2, clause( 3, [ axiom( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z )
% 61.63/62.08 ) ) ) ] )
% 61.63/62.08 , 0, substitution( 0, [ :=( X, or( X, or( Y, Z ) ) ), :=( Y, T ), :=( Z, or(
% 61.63/62.08 Y, or( X, Z ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z
% 61.63/62.08 )] )).
% 61.63/62.08
% 61.63/62.08
% 61.63/62.08 subsumption(
% 61.63/62.08 clause( 35, [ theorem( or( not( or( X, or( Y, Z ) ) ), T ) ), ~( theorem(
% 61.63/62.08 or( not( or( Y, or( X, Z ) ) ), T ) ) ) ] )
% 61.63/62.08 , clause( 131343, [ theorem( or( not( or( X, or( Y, Z ) ) ), T ) ), ~(
% 61.63/62.08 theorem( or( not( or( Y, or( X, Z ) ) ), T ) ) ) ] )
% 61.63/62.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 61.63/62.08 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 61.63/62.08
% 61.63/62.08
% 61.63/62.08 resolution(
% 61.63/62.08 clause( 131344, [ theorem( or( not( or( X, Y ) ), Z ) ), ~( theorem( or(
% 61.63/62.08 not( or( Y, X ) ), Z ) ) ) ] )
% 61.63/62.08 , clause( 7, [ theorem( or( not( X ), Y ) ), ~( theorem( or( not( Z ), Y )
% 61.63/62.08 ) ), ~( axiom( or( not( X ), Z ) ) ) ] )
% 61.63/62.08 , 2, clause( 2, [ axiom( or( not( or( X, Y ) ), or( Y, X ) ) ) ] )
% 61.63/62.08 , 0, substitution( 0, [ :=( X, or( X, Y ) ), :=( Y, Z ), :=( Z, or( Y, X )
% 61.63/62.08 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 61.63/62.08
% 61.63/62.08
% 61.63/62.08 subsumption(
% 61.63/62.08 clause( 36, [ theorem( or( not( or( X, Y ) ), Z ) ), ~( theorem( or( not(
% 61.63/62.08 or( Y, X ) ), Z ) ) ) ] )
% 61.63/62.08 , clause( 131344, [ theorem( or( not( or( X, Y ) ), Z ) ), ~( theorem( or(
% 61.63/62.08 not( or( Y, X ) ), Z ) ) ) ] )
% 61.63/62.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 61.63/62.08 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 61.63/62.08
% 61.63/62.08
% 61.63/62.08 resolution(
% 61.63/62.08 clause( 131345, [ theorem( or( not( or( X, X ) ), Y ) ), ~( theorem( or(
% 61.63/62.08 not( X ), Y ) ) ) ] )
% 61.63/62.08 , clause( 7, [ theorem( or( not( X ), Y ) ), ~( theorem( or( not( Z ), Y )
% 61.63/62.08 ) ), ~( axiom( or( not( X ), Z ) ) ) ] )
% 61.63/62.08 , 2, clause( 0, [ axiom( or( not( or( X, X ) ), X ) ) ] )
% 61.63/62.08 , 0, substitution( 0, [ :=( X, or( X, X ) ), :=( Y, Y ), :=( Z, X )] ),
% 61.63/62.08 substitution( 1, [ :=( X, X )] )).
% 61.63/62.08
% 61.63/62.08
% 61.63/62.08 subsumption(
% 61.63/62.08 clause( 37, [ theorem( or( not( or( X, X ) ), Y ) ), ~( theorem( or( not( X
% 61.63/62.08 ), Y ) ) ) ] )
% 61.63/62.08 , clause( 131345, [ theorem( or( not( or( X, X ) ), Y ) ), ~( theorem( or(
% 61.63/62.08 not( X ), Y ) ) ) ] )
% 61.63/62.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 61.63/62.08 ), ==>( 1, 1 )] ) ).
% 61.63/62.08
% 61.63/62.08
% 61.63/62.08 resolution(
% 61.63/62.08 clause( 131346, [ theorem( or( not( X ), Y ) ), ~( theorem( or( not( or( Z
% 61.63/62.08 , X ) ), Y ) ) ) ] )
% 61.63/62.08 , clause( 7, [ theorem( or( not( X ), Y ) ), ~( theorem( or( not( Z ), Y )
% 61.63/62.08 ) ), ~( axiom( or( not( X ), Z ) ) ) ] )
% 61.63/62.08 , 2, clause( 1, [ axiom( or( not( X ), or( Y, X ) ) ) ] )
% 61.63/62.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, or( Z, X ) )] ),
% 61.63/62.08 substitution( 1, [ :=( X, X ), :=( Y, Z )] )).
% 61.63/62.08
% 61.63/62.08
% 61.63/62.08 subsumption(
% 61.63/62.08 clause( 38, [ theorem( or( not( X ), Y ) ), ~( theorem( or( not( or( Z, X )
% 61.63/62.08 ), Y ) ) ) ] )
% 61.63/62.08 , clause( 131346, [ theorem( or( not( X ), Y ) ), ~( theorem( or( not( or(
% 61.63/62.08 Z, X ) ), Y ) ) ) ] )
% 61.63/62.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 61.63/62.08 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 61.63/62.08
% 61.63/62.08
% 61.63/62.08 resolution(
% 61.63/62.08 clause( 131347, [ theorem( or( not( or( or( X, Y ), or( X, Y ) ) ), or( Y,
% 61.63/62.08 X ) ) ) ] )
% 61.63/62.08 , clause( 37, [ theorem( or( not( or( X, X ) ), Y ) ), ~( theorem( or( not(
% 61.63/62.08 X ), Y ) ) ) ] )
% 61.63/62.08 , 1, clause( 11, [ theorem( or( not( or( X, Y ) ), or( Y, X ) ) ) ] )
% 61.63/62.08 , 0, substitution( 0, [ :=( X, or( X, Y ) ), :=( Y, or( Y, X ) )] ),
% 61.63/62.08 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 61.63/62.08
% 61.63/62.08
% 61.63/62.08 subsumption(
% 61.63/62.08 clause( 193, [ theorem( or( not( or( or( X, Y ), or( X, Y ) ) ), or( Y, X )
% 61.63/62.08 ) ) ] )
% 61.63/62.08 , clause( 131347, [ theorem( or( not( or( or( X, Y ), or( X, Y ) ) ), or( Y
% 61.63/62.08 , X ) ) ) ] )
% 61.63/62.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 61.63/62.08 )] ) ).
% 61.63/62.08
% 61.63/62.08
% 61.63/62.08 resolution(
% 61.63/62.08 clause( 131348, [ theorem( or( not( or( X, or( or( X, Y ), Y ) ) ), or( Y,
% 61.63/62.08 X ) ) ) ] )
% 61.63/62.08 , clause( 35, [ theorem( or( not( or( X, or( Y, Z ) ) ), T ) ), ~( theorem(
% 61.63/62.08 or( not( or( Y, or( X, Z ) ) ), T ) ) ) ] )
% 61.63/62.08 , 1, clause( 193, [ theorem( or( not( or( or( X, Y ), or( X, Y ) ) ), or( Y
% 61.63/62.08 , X ) ) ) ] )
% 61.63/62.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, or( X, Y ) ), :=( Z, Y ), :=( T
% 61.63/62.08 , or( Y, X ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 61.63/62.08
% 61.63/62.08
% 61.63/62.08 subsumption(
% 61.63/62.08 clause( 1939, [ theorem( or( not( or( X, or( or( X, Y ), Y ) ) ), or( Y, X
% 61.63/62.08 ) ) ) ] )
% 61.63/62.08 , clause( 131348, [ theorem( or( not( or( X, or( or( X, Y ), Y ) ) ), or( Y
% 61.63/62.08 , X ) ) ) ] )
% 61.63/62.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 61.63/62.08 )] ) ).
% 61.63/62.08
% 61.63/62.08
% 61.63/62.08 resolution(
% 61.63/62.08 clause( 131349, [ theorem( or( not( or( or( X, Y ), Y ) ), or( Y, X ) ) ) ]
% 61.63/62.08 )
% 61.63/62.08 , clause( 38, [ theorem( or( not( X ), Y ) ), ~( theorem( or( not( or( Z, X
% 61.63/62.08 ) ), Y ) ) ) ] )
% 61.63/62.08 , 1, clause( 1939, [ theorem( or( not( or( X, or( or( X, Y ), Y ) ) ), or(
% 61.63/62.08 Y, X ) ) ) ] )
% 61.63/62.08 , 0, substitution( 0, [ :=( X, or( or( X, Y ), Y ) ), :=( Y, or( Y, X ) ),
% 61.63/62.08 :=( Z, X )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 61.63/62.08
% 61.63/62.08
% 61.63/62.08 subsumption(
% 61.63/62.08 clause( 6467, [ theorem( or( not( or( or( X, Y ), Y ) ), or( Y, X ) ) ) ]
% 61.63/62.08 )
% 61.63/62.08 , clause( 131349, [ theorem( or( not( or( or( X, Y ), Y ) ), or( Y, X ) ) )
% 61.63/62.08 ] )
% 61.63/62.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 61.63/62.08 )] ) ).
% 61.63/62.08
% 61.63/62.08
% 61.63/62.08 resolution(
% 61.63/62.08 clause( 131350, [ theorem( or( not( or( X, or( or( Y, Z ), Z ) ) ), or( X,
% 61.63/62.08 or( Z, Y ) ) ) ) ] )
% 61.63/62.08 , clause( 27, [ theorem( or( not( or( X, Y ) ), or( X, Z ) ) ), ~( theorem(
% 61.63/62.08 or( not( Y ), Z ) ) ) ] )
% 61.63/62.08 , 1, clause( 6467, [ theorem( or( not( or( or( X, Y ), Y ) ), or( Y, X ) )
% 61.63/62.08 ) ] )
% 61.63/62.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, or( or( Y, Z ), Z ) ), :=( Z, or(
% 61.63/62.08 Z, Y ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z )] )).
% 61.63/62.08
% 61.63/62.08
% 61.63/62.08 subsumption(
% 61.63/62.08 clause( 6477, [ theorem( or( not( or( X, or( or( Y, Z ), Z ) ) ), or( X, or(
% 61.63/62.08 Z, Y ) ) ) ) ] )
% 61.63/62.08 , clause( 131350, [ theorem( or( not( or( X, or( or( Y, Z ), Z ) ) ), or( X
% 61.63/62.08 , or( Z, Y ) ) ) ) ] )
% 61.63/62.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 61.63/62.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 61.63/62.08
% 61.63/62.08
% 61.63/62.08 resolution(
% 61.63/62.08 clause( 131351, [ theorem( or( not( or( not( X ), Y ) ), or( not( or( or( Z
% 61.63/62.08 , Y ), X ) ), or( Y, Z ) ) ) ) ] )
% 61.63/62.08 , clause( 34, [ theorem( or( not( or( not( X ), Y ) ), Z ) ), ~( theorem(
% 61.63/62.08 or( not( or( not( or( T, X ) ), or( T, Y ) ) ), Z ) ) ) ] )
% 61.63/62.08 , 1, clause( 6477, [ theorem( or( not( or( X, or( or( Y, Z ), Z ) ) ), or(
% 61.63/62.08 X, or( Z, Y ) ) ) ) ] )
% 61.63/62.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, or( not( or( or( Z,
% 61.63/62.08 Y ), X ) ), or( Y, Z ) ) ), :=( T, or( Z, Y ) )] ), substitution( 1, [
% 61.63/62.08 :=( X, not( or( or( Z, Y ), X ) ) ), :=( Y, Z ), :=( Z, Y )] )).
% 61.63/62.08
% 61.63/62.08
% 61.63/62.08 subsumption(
% 61.63/62.08 clause( 28578, [ theorem( or( not( or( not( X ), Y ) ), or( not( or( or( Z
% 61.63/62.08 , Y ), X ) ), or( Y, Z ) ) ) ) ] )
% 61.63/62.08 , clause( 131351, [ theorem( or( not( or( not( X ), Y ) ), or( not( or( or(
% 61.63/62.08 Z, Y ), X ) ), or( Y, Z ) ) ) ) ] )
% 61.63/62.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 61.63/62.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 61.63/62.08
% 61.63/62.08
% 61.63/62.08 resolution(
% 61.63/62.08 clause( 131352, [ theorem( or( not( or( X, not( Y ) ) ), or( not( or( or( Z
% 61.63/62.08 , X ), Y ) ), or( X, Z ) ) ) ) ] )
% 61.63/62.08 , clause( 36, [ theorem( or( not( or( X, Y ) ), Z ) ), ~( theorem( or( not(
% 61.63/62.08 or( Y, X ) ), Z ) ) ) ] )
% 61.63/62.08 , 1, clause( 28578, [ theorem( or( not( or( not( X ), Y ) ), or( not( or(
% 61.63/62.08 or( Z, Y ), X ) ), or( Y, Z ) ) ) ) ] )
% 61.63/62.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, not( Y ) ), :=( Z, or( not( or(
% 61.63/62.08 or( Z, X ), Y ) ), or( X, Z ) ) )] ), substitution( 1, [ :=( X, Y ), :=(
% 61.63/62.08 Y, X ), :=( Z, Z )] )).
% 61.63/62.08
% 61.63/62.08
% 61.63/62.08 subsumption(
% 61.63/62.08 clause( 131044, [ theorem( or( not( or( X, not( Y ) ) ), or( not( or( or( Z
% 61.63/62.08 , X ), Y ) ), or( X, Z ) ) ) ) ] )
% 61.63/62.08 , clause( 131352, [ theorem( or( not( or( X, not( Y ) ) ), or( not( or( or(
% 61.63/62.08 Z, X ), Y ) ), or( X, Z ) ) ) ) ] )
% 61.63/62.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 61.63/62.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 61.63/62.08
% 61.63/62.08
% 61.63/62.08 resolution(
% 61.63/62.08 clause( 131353, [ theorem( or( not( or( or( X, Y ), Z ) ), or( not( or( Y,
% 61.63/62.08 not( Z ) ) ), or( Y, X ) ) ) ) ] )
% 61.63/62.08 , clause( 18, [ theorem( or( X, or( Y, Z ) ) ), ~( theorem( or( Y, or( X, Z
% 61.63/62.08 ) ) ) ) ] )
% 61.63/62.08 , 1, clause( 131044, [ theorem( or( not( or( X, not( Y ) ) ), or( not( or(
% 61.63/62.08 or( Z, X ), Y ) ), or( X, Z ) ) ) ) ] )
% 61.63/62.08 , 0, substitution( 0, [ :=( X, not( or( or( X, Y ), Z ) ) ), :=( Y, not( or(
% 61.63/62.08 Y, not( Z ) ) ) ), :=( Z, or( Y, X ) )] ), substitution( 1, [ :=( X, Y )
% 61.63/62.08 , :=( Y, Z ), :=( Z, X )] )).
% 61.63/62.08
% 61.63/62.08
% 61.63/62.08 subsumption(
% 61.63/62.08 clause( 131054, [ theorem( or( not( or( or( X, Y ), Z ) ), or( not( or( Y,
% 61.63/62.08 not( Z ) ) ), or( Y, X ) ) ) ) ] )
% 61.63/62.08 , clause( 131353, [ theorem( or( not( or( or( X, Y ), Z ) ), or( not( or( Y
% 61.63/62.08 , not( Z ) ) ), or( Y, X ) ) ) ) ] )
% 61.63/62.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 61.63/62.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 61.63/62.08
% 61.63/62.08
% 61.63/62.08 resolution(
% 61.63/62.08 clause( 131354, [ theorem( or( not( or( X, or( Y, Z ) ) ), or( not( or( Z,
% 61.63/62.08 not( X ) ) ), or( Z, Y ) ) ) ) ] )
% 61.63/62.08 , clause( 36, [ theorem( or( not( or( X, Y ) ), Z ) ), ~( theorem( or( not(
% 61.63/62.08 or( Y, X ) ), Z ) ) ) ] )
% 61.63/62.08 , 1, clause( 131054, [ theorem( or( not( or( or( X, Y ), Z ) ), or( not( or(
% 61.63/62.08 Y, not( Z ) ) ), or( Y, X ) ) ) ) ] )
% 61.63/62.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, or( Y, Z ) ), :=( Z, or( not( or(
% 61.63/62.08 Z, not( X ) ) ), or( Z, Y ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y
% 61.63/62.08 , Z ), :=( Z, X )] )).
% 61.63/62.08
% 61.63/62.08
% 61.63/62.08 subsumption(
% 61.63/62.08 clause( 131290, [ theorem( or( not( or( X, or( Y, Z ) ) ), or( not( or( Z,
% 61.63/62.08 not( X ) ) ), or( Z, Y ) ) ) ) ] )
% 61.63/62.08 , clause( 131354, [ theorem( or( not( or( X, or( Y, Z ) ) ), or( not( or( Z
% 61.63/62.08 , not( X ) ) ), or( Z, Y ) ) ) ) ] )
% 61.63/62.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 61.63/62.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 61.63/62.08
% 61.63/62.08
% 61.63/62.08 resolution(
% 61.63/62.08 clause( 131355, [ theorem( or( not( or( X, or( Y, Z ) ) ), or( not( or( Z,
% 61.63/62.08 not( Y ) ) ), or( Z, X ) ) ) ) ] )
% 61.63/62.08 , clause( 35, [ theorem( or( not( or( X, or( Y, Z ) ) ), T ) ), ~( theorem(
% 61.63/62.08 or( not( or( Y, or( X, Z ) ) ), T ) ) ) ] )
% 61.63/62.08 , 1, clause( 131290, [ theorem( or( not( or( X, or( Y, Z ) ) ), or( not( or(
% 61.63/62.08 Z, not( X ) ) ), or( Z, Y ) ) ) ) ] )
% 61.63/62.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, or( not(
% 61.63/62.08 or( Z, not( Y ) ) ), or( Z, X ) ) )] ), substitution( 1, [ :=( X, Y ),
% 61.63/62.08 :=( Y, X ), :=( Z, Z )] )).
% 61.63/62.08
% 61.63/62.08
% 61.63/62.08 subsumption(
% 61.63/62.08 clause( 131296, [ theorem( or( not( or( X, or( Y, Z ) ) ), or( not( or( Z,
% 61.63/62.08 not( Y ) ) ), or( Z, X ) ) ) ) ] )
% 61.63/62.08 , clause( 131355, [ theorem( or( not( or( X, or( Y, Z ) ) ), or( not( or( Z
% 61.63/62.08 , not( Y ) ) ), or( Z, X ) ) ) ) ] )
% 61.63/62.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 61.63/62.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 61.63/62.08
% 61.63/62.08
% 61.63/62.08 resolution(
% 61.63/62.08 clause( 131356, [ theorem( or( not( or( or( X, Y ), Z ) ), or( not( or( Y,
% 61.63/62.08 not( X ) ) ), or( Y, Z ) ) ) ) ] )
% 61.63/62.08 , clause( 36, [ theorem( or( not( or( X, Y ) ), Z ) ), ~( theorem( or( not(
% 61.63/62.08 or( Y, X ) ), Z ) ) ) ] )
% 61.63/62.08 , 1, clause( 131296, [ theorem( or( not( or( X, or( Y, Z ) ) ), or( not( or(
% 61.63/62.08 Z, not( Y ) ) ), or( Z, X ) ) ) ) ] )
% 61.63/62.08 , 0, substitution( 0, [ :=( X, or( X, Y ) ), :=( Y, Z ), :=( Z, or( not( or(
% 61.63/62.08 Y, not( X ) ) ), or( Y, Z ) ) )] ), substitution( 1, [ :=( X, Z ), :=( Y
% 61.63/62.08 , X ), :=( Z, Y )] )).
% 61.63/62.08
% 61.63/62.08
% 61.63/62.08 subsumption(
% 61.63/62.08 clause( 131303, [ theorem( or( not( or( or( X, Y ), Z ) ), or( not( or( Y,
% 61.63/62.08 not( X ) ) ), or( Y, Z ) ) ) ) ] )
% 61.63/62.08 , clause( 131356, [ theorem( or( not( or( or( X, Y ), Z ) ), or( not( or( Y
% 61.63/62.08 , not( X ) ) ), or( Y, Z ) ) ) ) ] )
% 61.63/62.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 61.63/62.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 61.63/62.08
% 61.63/62.08
% 61.63/62.08 resolution(
% 61.63/62.08 clause( 131357, [ theorem( or( not( or( X, not( Y ) ) ), or( not( or( or( Y
% 61.63/62.08 , X ), Z ) ), or( X, Z ) ) ) ) ] )
% 61.63/62.08 , clause( 18, [ theorem( or( X, or( Y, Z ) ) ), ~( theorem( or( Y, or( X, Z
% 61.63/62.08 ) ) ) ) ] )
% 61.63/62.08 , 1, clause( 131303, [ theorem( or( not( or( or( X, Y ), Z ) ), or( not( or(
% 61.63/62.08 Y, not( X ) ) ), or( Y, Z ) ) ) ) ] )
% 61.63/62.08 , 0, substitution( 0, [ :=( X, not( or( X, not( Y ) ) ) ), :=( Y, not( or(
% 61.63/62.08 or( Y, X ), Z ) ) ), :=( Z, or( X, Z ) )] ), substitution( 1, [ :=( X, Y
% 61.63/62.08 ), :=( Y, X ), :=( Z, Z )] )).
% 61.63/62.08
% 61.63/62.08
% 61.63/62.08 subsumption(
% 61.63/62.08 clause( 131315, [ theorem( or( not( or( X, not( Y ) ) ), or( not( or( or( Y
% 61.63/62.08 , X ), Z ) ), or( X, Z ) ) ) ) ] )
% 61.63/62.08 , clause( 131357, [ theorem( or( not( or( X, not( Y ) ) ), or( not( or( or(
% 61.63/62.08 Y, X ), Z ) ), or( X, Z ) ) ) ) ] )
% 61.63/62.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 61.63/62.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 61.63/62.08
% 61.63/62.08
% 61.63/62.08 resolution(
% 61.63/62.08 clause( 131358, [ theorem( or( not( or( not( X ), Y ) ), or( not( or( or( X
% 61.63/62.08 , Y ), Z ) ), or( Y, Z ) ) ) ) ] )
% 61.63/62.08 , clause( 36, [ theorem( or( not( or( X, Y ) ), Z ) ), ~( theorem( or( not(
% 61.63/62.08 or( Y, X ) ), Z ) ) ) ] )
% 61.63/62.08 , 1, clause( 131315, [ theorem( or( not( or( X, not( Y ) ) ), or( not( or(
% 61.63/62.08 or( Y, X ), Z ) ), or( X, Z ) ) ) ) ] )
% 61.63/62.08 , 0, substitution( 0, [ :=( X, not( X ) ), :=( Y, Y ), :=( Z, or( not( or(
% 61.63/62.08 or( X, Y ), Z ) ), or( Y, Z ) ) )] ), substitution( 1, [ :=( X, Y ), :=(
% 61.63/62.08 Y, X ), :=( Z, Z )] )).
% 61.63/62.08
% 61.63/62.08
% 61.63/62.08 subsumption(
% 61.63/62.08 clause( 131319, [ theorem( or( not( or( not( X ), Y ) ), or( not( or( or( X
% 61.63/62.08 , Y ), Z ) ), or( Y, Z ) ) ) ) ] )
% 61.63/62.08 , clause( 131358, [ theorem( or( not( or( not( X ), Y ) ), or( not( or( or(
% 61.63/62.08 X, Y ), Z ) ), or( Y, Z ) ) ) ) ] )
% 61.63/62.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 61.63/62.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 61.63/62.08
% 61.63/62.08
% 61.63/62.08 resolution(
% 61.63/62.08 clause( 131359, [] )
% 61.63/62.08 , clause( 8, [ ~( theorem( or( not( or( not( p ), q ) ), or( not( or( or( p
% 61.63/62.08 , q ), r ) ), or( q, r ) ) ) ) ) ] )
% 61.63/62.08 , 0, clause( 131319, [ theorem( or( not( or( not( X ), Y ) ), or( not( or(
% 61.63/62.08 or( X, Y ), Z ) ), or( Y, Z ) ) ) ) ] )
% 61.63/62.08 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, p ), :=( Y, q ), :=(
% 61.63/62.08 Z, r )] )).
% 61.63/62.08
% 61.63/62.08
% 61.63/62.08 subsumption(
% 61.63/62.08 clause( 131328, [] )
% 61.63/62.08 , clause( 131359, [] )
% 61.63/62.08 , substitution( 0, [] ), permutation( 0, [] ) ).
% 61.63/62.08
% 61.63/62.08
% 61.63/62.08 end.
% 61.63/62.08
% 61.63/62.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 61.63/62.08
% 61.63/62.08 Memory use:
% 61.63/62.08
% 61.63/62.08 space for terms: 2638802
% 61.63/62.08 space for clauses: 10237677
% 61.63/62.08
% 61.63/62.08
% 61.63/62.08 clauses generated: 221716
% 61.63/62.08 clauses kept: 131329
% 61.63/62.08 clauses selected: 37161
% 61.63/62.08 clauses deleted: 5743
% 61.63/62.08 clauses inuse deleted: 24
% 61.63/62.08
% 61.63/62.08 subsentry: 99468
% 61.63/62.08 literals s-matched: 99447
% 61.63/62.08 literals matched: 99447
% 61.63/62.08 full subsumption: 0
% 61.63/62.08
% 61.63/62.08 checksum: -1272802473
% 61.63/62.08
% 61.63/62.08
% 61.63/62.08 Bliksem ended
%------------------------------------------------------------------------------