TSTP Solution File: LCL223-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL223-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.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 07:51:55 EDT 2022
% Result : Unsatisfiable 51.20s 51.62s
% Output : Refutation 51.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL223-1 : TPTP v8.1.0. Released v1.1.0.
% 0.06/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sun Jul 3 10:52:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 13.15/13.55 *** allocated 10000 integers for termspace/termends
% 13.15/13.55 *** allocated 10000 integers for clauses
% 13.15/13.55 *** allocated 10000 integers for justifications
% 13.15/13.55 Bliksem 1.12
% 13.15/13.55
% 13.15/13.55
% 13.15/13.55 Automatic Strategy Selection
% 13.15/13.55
% 13.15/13.55 Clauses:
% 13.15/13.55 [
% 13.15/13.55 [ axiom( or( not( or( X, X ) ), X ) ) ],
% 13.15/13.55 [ axiom( or( not( X ), or( Y, X ) ) ) ],
% 13.15/13.55 [ axiom( or( not( or( X, Y ) ), or( Y, X ) ) ) ],
% 13.15/13.55 [ axiom( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z ) ) ) ) ],
% 13.15/13.55 [ axiom( or( not( or( not( X ), Y ) ), or( not( or( Z, X ) ), or( Z, Y )
% 13.15/13.55 ) ) ) ],
% 13.15/13.55 [ theorem( X ), ~( axiom( X ) ) ],
% 13.15/13.55 [ theorem( X ), ~( axiom( or( not( Y ), X ) ) ), ~( theorem( Y ) ) ]
% 13.15/13.55 ,
% 13.15/13.55 [ theorem( or( not( X ), Y ) ), ~( axiom( or( not( X ), Z ) ) ), ~(
% 13.15/13.55 theorem( or( not( Z ), Y ) ) ) ],
% 13.15/13.55 [ ~( theorem( or( not( or( p, q ) ), or( not( or( p, or( not( q ), r ) )
% 13.15/13.55 ), or( p, r ) ) ) ) ) ]
% 13.15/13.55 ] .
% 13.15/13.55
% 13.15/13.55
% 13.15/13.55 percentage equality = 0.000000, percentage horn = 1.000000
% 13.15/13.55 This is a near-Horn, non-equality problem
% 13.15/13.55
% 13.15/13.55
% 13.15/13.55 Options Used:
% 13.15/13.55
% 13.15/13.55 useres = 1
% 13.15/13.55 useparamod = 0
% 13.15/13.55 useeqrefl = 0
% 13.15/13.55 useeqfact = 0
% 13.15/13.55 usefactor = 1
% 13.15/13.55 usesimpsplitting = 0
% 13.15/13.55 usesimpdemod = 0
% 13.15/13.55 usesimpres = 4
% 13.15/13.55
% 13.15/13.55 resimpinuse = 1000
% 13.15/13.55 resimpclauses = 20000
% 13.15/13.55 substype = standard
% 13.15/13.55 backwardsubs = 1
% 13.15/13.55 selectoldest = 5
% 13.15/13.55
% 13.15/13.55 litorderings [0] = split
% 13.15/13.55 litorderings [1] = liftord
% 13.15/13.55
% 13.15/13.55 termordering = none
% 13.15/13.55
% 13.15/13.55 litapriori = 1
% 13.15/13.55 termapriori = 0
% 13.15/13.55 litaposteriori = 0
% 13.15/13.55 termaposteriori = 0
% 13.15/13.55 demodaposteriori = 0
% 13.15/13.55 ordereqreflfact = 0
% 13.15/13.55
% 13.15/13.55 litselect = negative
% 13.15/13.55
% 13.15/13.55 maxweight = 30000
% 13.15/13.55 maxdepth = 30000
% 13.15/13.55 maxlength = 115
% 13.15/13.55 maxnrvars = 195
% 13.15/13.55 excuselevel = 0
% 13.15/13.55 increasemaxweight = 0
% 13.15/13.55
% 13.15/13.55 maxselected = 10000000
% 13.15/13.55 maxnrclauses = 10000000
% 13.15/13.55
% 13.15/13.55 showgenerated = 0
% 13.15/13.55 showkept = 0
% 13.15/13.55 showselected = 0
% 13.15/13.55 showdeleted = 0
% 13.15/13.55 showresimp = 1
% 13.15/13.55 showstatus = 2000
% 13.15/13.55
% 13.15/13.55 prologoutput = 1
% 13.15/13.55 nrgoals = 5000000
% 13.15/13.55 totalproof = 1
% 13.15/13.55
% 13.15/13.55 Symbols occurring in the translation:
% 13.15/13.55
% 13.15/13.55 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 13.15/13.55 . [1, 2] (w:1, o:26, a:1, s:1, b:0),
% 13.15/13.55 ! [4, 1] (w:1, o:18, a:1, s:1, b:0),
% 13.15/13.55 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 13.15/13.55 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 13.15/13.55 or [40, 2] (w:1, o:51, a:1, s:1, b:0),
% 13.15/13.55 not [41, 1] (w:1, o:23, a:1, s:1, b:0),
% 13.15/13.55 axiom [42, 1] (w:1, o:24, a:1, s:1, b:0),
% 13.15/13.55 theorem [46, 1] (w:1, o:25, a:1, s:1, b:0),
% 13.15/13.55 p [49, 0] (w:1, o:15, a:1, s:1, b:0),
% 13.15/13.55 q [50, 0] (w:1, o:16, a:1, s:1, b:0),
% 13.15/13.55 r [51, 0] (w:1, o:17, a:1, s:1, b:0).
% 13.15/13.55
% 13.15/13.55
% 13.15/13.55 Starting Search:
% 13.15/13.55
% 13.15/13.55 Resimplifying inuse:
% 13.15/13.55 Done
% 13.15/13.55
% 13.15/13.55
% 13.15/13.55 Intermediate Status:
% 13.15/13.55 Generated: 3552
% 13.15/13.55 Kept: 2003
% 13.15/13.55 Inuse: 579
% 13.15/13.55 Deleted: 7
% 13.15/13.55 Deletedinuse: 0
% 13.15/13.55
% 13.15/13.55 Resimplifying inuse:
% 13.15/13.55 Done
% 13.15/13.55
% 13.15/13.55 Resimplifying inuse:
% 13.15/13.55 Done
% 13.15/13.55
% 13.15/13.55
% 13.15/13.55 Intermediate Status:
% 13.15/13.55 Generated: 7011
% 13.15/13.55 Kept: 4004
% 13.15/13.55 Inuse: 1159
% 13.15/13.55 Deleted: 22
% 13.15/13.55 Deletedinuse: 0
% 13.15/13.55
% 13.15/13.55 Resimplifying inuse:
% 13.15/13.55 Done
% 13.15/13.55
% 13.15/13.55 Resimplifying inuse:
% 13.15/13.55 Done
% 13.15/13.55
% 13.15/13.55
% 13.15/13.55 Intermediate Status:
% 13.15/13.55 Generated: 10535
% 13.15/13.55 Kept: 6005
% 13.15/13.55 Inuse: 1749
% 13.15/13.55 Deleted: 36
% 13.15/13.55 Deletedinuse: 0
% 13.15/13.55
% 13.15/13.55 Resimplifying inuse:
% 13.15/13.55 Done
% 13.15/13.55
% 13.15/13.55 Resimplifying inuse:
% 13.15/13.55 Done
% 13.15/13.55
% 13.15/13.55
% 13.15/13.55 Intermediate Status:
% 13.15/13.55 Generated: 13970
% 13.15/13.55 Kept: 8008
% 13.15/13.55 Inuse: 2286
% 13.15/13.55 Deleted: 54
% 13.15/13.55 Deletedinuse: 0
% 13.15/13.55
% 13.15/13.55 Resimplifying inuse:
% 13.15/13.55 Done
% 13.15/13.55
% 13.15/13.55 Resimplifying inuse:
% 13.15/13.55 Done
% 13.15/13.55
% 13.15/13.55
% 13.15/13.55 Intermediate Status:
% 13.15/13.55 Generated: 17352
% 13.15/13.55 Kept: 10008
% 13.15/13.55 Inuse: 2812
% 13.15/13.55 Deleted: 63
% 13.15/13.55 Deletedinuse: 0
% 13.15/13.55
% 13.15/13.55 Resimplifying inuse:
% 13.15/13.55 Done
% 13.15/13.55
% 13.15/13.55 Resimplifying inuse:
% 13.15/13.55 Done
% 13.15/13.55
% 13.15/13.55
% 13.15/13.55 Intermediate Status:
% 13.15/13.55 Generated: 20537
% 13.15/13.55 Kept: 12010
% 13.15/13.55 Inuse: 3393
% 13.15/13.55 Deleted: 83
% 13.15/13.55 Deletedinuse: 0
% 13.15/13.55
% 13.15/13.55 Resimplifying inuse:
% 13.15/13.55 Done
% 13.15/13.55
% 13.15/13.55 Resimplifying inuse:
% 13.15/13.55 Done
% 13.15/13.55
% 13.15/13.55
% 13.15/13.55 Intermediate Status:
% 13.15/13.55 Generated: 24245
% 13.15/13.55 Kept: 14010
% 13.15/13.55 Inuse: 4013
% 13.15/13.55 Deleted: 89
% 13.15/13.55 Deletedinuse: 0
% 13.15/13.55
% 13.15/13.55 Resimplifying inuse:
% 13.15/13.55 Done
% 13.15/13.55
% 13.15/13.55 Resimplifying inuse:
% 13.15/13.55 Done
% 13.15/13.55
% 13.15/13.55
% 13.15/13.55 Intermediate Status:
% 13.15/13.55 Generated: 27742
% 13.15/13.55 Kept: 16011
% 13.15/13.55 Inuse: 4575
% 13.15/13.55 Deleted: 95
% 13.15/13.55 Deletedinuse: 0
% 13.15/13.55
% 13.15/13.55 Resimplifying inuse:
% 13.15/13.55 Done
% 13.15/13.55
% 13.15/13.55 Resimplifying inuse:
% 13.15/13.55 Done
% 13.15/13.55
% 13.15/13.55
% 13.15/13.55 Intermediate Status:
% 13.15/13.55 Generated: 31389
% 13.15/13.55 Kept: 18016
% 13.15/13.55 Inuse: 5173
% 13.15/13.55 Deleted: 107
% 13.15/13.55 Deletedinuse: 0
% 13.15/13.55
% 13.15/13.55 Resimplifying inuse:
% 13.15/13.55 Done
% 13.15/13.55
% 13.15/13.55 Resimplifying inuse:
% 13.15/13.55 Done
% 13.15/13.55
% 13.15/13.55 Resimplifying clauses:
% 13.15/13.55 Done
% 13.15/13.55
% 13.15/13.55
% 13.15/13.55 Intermediate Status:
% 40.62/41.01 Generated: 35129
% 40.62/41.01 Kept: 20020
% 40.62/41.01 Inuse: 5808
% 40.62/41.01 Deleted: 1058
% 40.62/41.01 Deletedinuse: 0
% 40.62/41.01
% 40.62/41.01 Resimplifying inuse:
% 40.62/41.01 Done
% 40.62/41.01
% 40.62/41.01 Resimplifying inuse:
% 40.62/41.01 Done
% 40.62/41.01
% 40.62/41.01
% 40.62/41.01 Intermediate Status:
% 40.62/41.01 Generated: 38407
% 40.62/41.01 Kept: 22020
% 40.62/41.01 Inuse: 6379
% 40.62/41.01 Deleted: 1058
% 40.62/41.01 Deletedinuse: 0
% 40.62/41.01
% 40.62/41.01 Resimplifying inuse:
% 40.62/41.01 Done
% 40.62/41.01
% 40.62/41.01 Resimplifying inuse:
% 40.62/41.01 Done
% 40.62/41.01
% 40.62/41.01
% 40.62/41.01 Intermediate Status:
% 40.62/41.01 Generated: 41584
% 40.62/41.01 Kept: 24023
% 40.62/41.01 Inuse: 6938
% 40.62/41.01 Deleted: 1058
% 40.62/41.01 Deletedinuse: 0
% 40.62/41.01
% 40.62/41.01 Resimplifying inuse:
% 40.62/41.01 Done
% 40.62/41.01
% 40.62/41.01 Resimplifying inuse:
% 40.62/41.01 Done
% 40.62/41.01
% 40.62/41.01
% 40.62/41.01 Intermediate Status:
% 40.62/41.01 Generated: 44451
% 40.62/41.01 Kept: 26028
% 40.62/41.01 Inuse: 7447
% 40.62/41.01 Deleted: 1058
% 40.62/41.01 Deletedinuse: 0
% 40.62/41.01
% 40.62/41.01 Resimplifying inuse:
% 40.62/41.01 Done
% 40.62/41.01
% 40.62/41.01 Resimplifying inuse:
% 40.62/41.01 Done
% 40.62/41.01
% 40.62/41.01
% 40.62/41.01 Intermediate Status:
% 40.62/41.01 Generated: 47635
% 40.62/41.01 Kept: 28030
% 40.62/41.01 Inuse: 7999
% 40.62/41.01 Deleted: 1058
% 40.62/41.01 Deletedinuse: 0
% 40.62/41.01
% 40.62/41.01 Resimplifying inuse:
% 40.62/41.01 Done
% 40.62/41.01
% 40.62/41.01 Resimplifying inuse:
% 40.62/41.01 Done
% 40.62/41.01
% 40.62/41.01
% 40.62/41.01 Intermediate Status:
% 40.62/41.01 Generated: 50657
% 40.62/41.01 Kept: 30031
% 40.62/41.01 Inuse: 8517
% 40.62/41.01 Deleted: 1058
% 40.62/41.01 Deletedinuse: 0
% 40.62/41.01
% 40.62/41.01 Resimplifying inuse:
% 40.62/41.01 Done
% 40.62/41.01
% 40.62/41.01 Resimplifying inuse:
% 40.62/41.01 Done
% 40.62/41.01
% 40.62/41.01
% 40.62/41.01 Intermediate Status:
% 40.62/41.01 Generated: 54128
% 40.62/41.01 Kept: 32033
% 40.62/41.01 Inuse: 9110
% 40.62/41.01 Deleted: 1058
% 40.62/41.01 Deletedinuse: 0
% 40.62/41.01
% 40.62/41.01 Resimplifying inuse:
% 40.62/41.01 Done
% 40.62/41.01
% 40.62/41.01 Resimplifying inuse:
% 40.62/41.01 Done
% 40.62/41.01
% 40.62/41.01
% 40.62/41.01 Intermediate Status:
% 40.62/41.01 Generated: 58048
% 40.62/41.01 Kept: 34033
% 40.62/41.01 Inuse: 9785
% 40.62/41.01 Deleted: 1058
% 40.62/41.01 Deletedinuse: 0
% 40.62/41.01
% 40.62/41.01 Resimplifying inuse:
% 40.62/41.01 Done
% 40.62/41.01
% 40.62/41.01 Resimplifying inuse:
% 40.62/41.01 Done
% 40.62/41.01
% 40.62/41.01
% 40.62/41.01 Intermediate Status:
% 40.62/41.01 Generated: 62120
% 40.62/41.01 Kept: 36035
% 40.62/41.01 Inuse: 10440
% 40.62/41.01 Deleted: 1058
% 40.62/41.01 Deletedinuse: 0
% 40.62/41.01
% 40.62/41.01 Resimplifying inuse:
% 40.62/41.01 Done
% 40.62/41.01
% 40.62/41.01 Resimplifying inuse:
% 40.62/41.01 Done
% 40.62/41.01
% 40.62/41.01
% 40.62/41.01 Intermediate Status:
% 40.62/41.01 Generated: 66132
% 40.62/41.01 Kept: 38035
% 40.62/41.01 Inuse: 11057
% 40.62/41.01 Deleted: 1058
% 40.62/41.01 Deletedinuse: 0
% 40.62/41.01
% 40.62/41.01 Resimplifying inuse:
% 40.62/41.01 Done
% 40.62/41.01
% 40.62/41.01 Resimplifying inuse:
% 40.62/41.01 Done
% 40.62/41.01
% 40.62/41.01 Resimplifying clauses:
% 40.62/41.01 Done
% 40.62/41.01
% 40.62/41.01
% 40.62/41.01 Intermediate Status:
% 40.62/41.01 Generated: 69628
% 40.62/41.01 Kept: 40036
% 40.62/41.01 Inuse: 11653
% 40.62/41.01 Deleted: 2092
% 40.62/41.01 Deletedinuse: 24
% 40.62/41.01
% 40.62/41.01 Resimplifying inuse:
% 40.62/41.01 Done
% 40.62/41.01
% 40.62/41.01 Resimplifying inuse:
% 40.62/41.01 Done
% 40.62/41.01
% 40.62/41.01
% 40.62/41.01 Intermediate Status:
% 40.62/41.01 Generated: 72662
% 40.62/41.01 Kept: 42038
% 40.62/41.01 Inuse: 12203
% 40.62/41.01 Deleted: 2092
% 40.62/41.01 Deletedinuse: 24
% 40.62/41.01
% 40.62/41.01 Resimplifying inuse:
% 40.62/41.01 Done
% 40.62/41.01
% 40.62/41.01 Resimplifying inuse:
% 40.62/41.01 Done
% 40.62/41.01
% 40.62/41.01
% 40.62/41.01 Intermediate Status:
% 40.62/41.01 Generated: 76686
% 40.62/41.01 Kept: 44039
% 40.62/41.01 Inuse: 12847
% 40.62/41.01 Deleted: 2092
% 40.62/41.01 Deletedinuse: 24
% 40.62/41.01
% 40.62/41.01 Resimplifying inuse:
% 40.62/41.01 Done
% 40.62/41.01
% 40.62/41.01 Resimplifying inuse:
% 40.62/41.01 Done
% 40.62/41.01
% 40.62/41.01
% 40.62/41.01 Intermediate Status:
% 40.62/41.01 Generated: 80859
% 40.62/41.01 Kept: 46040
% 40.62/41.01 Inuse: 13497
% 40.62/41.01 Deleted: 2092
% 40.62/41.01 Deletedinuse: 24
% 40.62/41.01
% 40.62/41.01 Resimplifying inuse:
% 40.62/41.01 Done
% 40.62/41.01
% 40.62/41.01 Resimplifying inuse:
% 40.62/41.01 Done
% 40.62/41.01
% 40.62/41.01
% 40.62/41.01 Intermediate Status:
% 40.62/41.01 Generated: 83891
% 40.62/41.01 Kept: 48040
% 40.62/41.01 Inuse: 13996
% 40.62/41.01 Deleted: 2092
% 40.62/41.01 Deletedinuse: 24
% 40.62/41.01
% 40.62/41.01 Resimplifying inuse:
% 40.62/41.01 Done
% 40.62/41.01
% 40.62/41.01 Resimplifying inuse:
% 40.62/41.01 Done
% 40.62/41.01
% 40.62/41.01
% 40.62/41.01 Intermediate Status:
% 40.62/41.01 Generated: 86825
% 40.62/41.01 Kept: 50040
% 40.62/41.01 Inuse: 14495
% 40.62/41.01 Deleted: 2092
% 40.62/41.01 Deletedinuse: 24
% 40.62/41.01
% 40.62/41.01 Resimplifying inuse:
% 40.62/41.01 Done
% 40.62/41.01
% 40.62/41.01 Resimplifying inuse:
% 40.62/41.01 Done
% 40.62/41.01
% 40.62/41.01
% 40.62/41.01 Intermediate Status:
% 40.62/41.01 Generated: 90235
% 40.62/41.01 Kept: 52045
% 40.62/41.01 Inuse: 15051
% 40.62/41.01 Deleted: 2092
% 40.62/41.01 Deletedinuse: 24
% 40.62/41.01
% 40.62/41.01 Resimplifying inuse:
% 40.62/41.01 Done
% 40.62/41.01
% 40.62/41.01 Resimplifying inuse:
% 40.62/41.01 Done
% 40.62/41.01
% 40.62/41.01
% 40.62/41.01 Intermediate Status:
% 40.62/41.01 Generated: 93069
% 40.62/41.01 Kept: 54045
% 40.62/41.01 Inuse: 15516
% 40.62/41.01 Deleted: 2092
% 40.62/41.01 Deletedinuse: 24
% 40.62/41.01
% 40.62/41.01 Resimplifying inuse:
% 40.62/41.01 Done
% 40.62/41.01
% 40.62/41.01 Resimplifying inuse:
% 40.62/41.01 Done
% 40.62/41.01
% 40.62/41.01
% 40.62/41.01 Intermediate Status:
% 40.62/41.01 Generated: 97023
% 40.62/41.01 Kept: 56050
% 40.62/41.01 Inuse: 16083
% 40.62/41.01 Deleted: 2092
% 40.62/41.01 Deletedinuse: 24
% 40.62/41.01
% 40.62/41.01 Resimplifying inuse:
% 40.62/41.01 Done
% 40.62/41.01
% 40.62/41.01 Resimplifying inuse:
% 40.62/41.01 Done
% 40.62/41.01
% 40.62/41.01
% 40.62/41.01 Intermediate Status:
% 40.62/41.01 Generated: 100983
% 40.62/41.01 Kept: 58050
% 40.62/41.01 Inuse: 16673
% 40.62/41.01 Deleted: 2092
% 40.62/41.01 Deletedinuse: 24
% 40.62/41.01
% 40.62/41.01 Resimplifying inuse:
% 40.62/41.01 Done
% 40.62/41.01
% 40.62/41.01 Resimplifying inuse:
% 40.62/41.01 Done
% 40.62/41.01
% 40.62/41.01 Resimplifying clauses:
% 40.62/41.01 Done
% 40.62/41.01
% 40.62/41.01
% 40.62/41.01 Intermediate Status:
% 40.62/41.01 Generated: 104403
% 40.62/41.01 Kept: 60055
% 40.62/41.01 Inuse: 17188
% 40.62/41.01 Deleted: 3183
% 40.62/41.01 Deletedinuse: 24
% 40.62/41.01
% 40.62/41.01 Resimplifying inuse:
% 40.62/41.01 Done
% 40.62/41.01
% 40.62/41.01 Resimplifying inuse:
% 40.62/41.01 Done
% 40.62/41.01
% 40.62/41.01
% 40.62/41.01 Intermediate Status:
% 40.62/41.01 Generated: 107568
% 40.62/41.01 Kept: 62062
% 40.62/41.01 Inuse: 17700
% 40.62/41.01 Deleted: 3183
% 40.62/41.01 Deletedinuse: 24
% 40.62/41.01
% 40.62/41.01 Resimplifying inuse:
% 40.62/41.01 Done
% 40.62/41.01
% 40.62/41.01 Resimplifying inuse:
% 40.62/41.01 Done
% 40.62/41.01
% 40.62/41.01
% 40.62/41.01 Intermediate Status:
% 40.62/41.01 Generated: 111127
% 40.62/41.01 Kept: 64064
% 40.62/41.01 Inuse: 18250
% 40.62/41.01 Deleted: 3183
% 40.62/41.01 Deletedinuse: 24
% 40.62/41.01
% 40.62/41.01 Resimplifying inuse:
% 40.62/41.01 Done
% 40.62/41.01
% 40.62/41.01 Resimplifying inuse:
% 40.62/41.01 Done
% 40.62/41.01
% 40.62/41.01
% 40.62/41.01 Intermediate Status:
% 40.62/41.01 Generated: 114570
% 40.62/41.01 Kept: 66067
% 40.62/41.01 Inuse: 18760
% 40.62/41.01 Deleted: 3183
% 51.20/51.62 Deletedinuse: 24
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 Intermediate Status:
% 51.20/51.62 Generated: 117869
% 51.20/51.62 Kept: 68068
% 51.20/51.62 Inuse: 19258
% 51.20/51.62 Deleted: 3183
% 51.20/51.62 Deletedinuse: 24
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 Intermediate Status:
% 51.20/51.62 Generated: 121114
% 51.20/51.62 Kept: 70068
% 51.20/51.62 Inuse: 19812
% 51.20/51.62 Deleted: 3183
% 51.20/51.62 Deletedinuse: 24
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 Intermediate Status:
% 51.20/51.62 Generated: 124426
% 51.20/51.62 Kept: 72075
% 51.20/51.62 Inuse: 20344
% 51.20/51.62 Deleted: 3183
% 51.20/51.62 Deletedinuse: 24
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 Intermediate Status:
% 51.20/51.62 Generated: 127125
% 51.20/51.62 Kept: 74075
% 51.20/51.62 Inuse: 20848
% 51.20/51.62 Deleted: 3183
% 51.20/51.62 Deletedinuse: 24
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 Intermediate Status:
% 51.20/51.62 Generated: 130821
% 51.20/51.62 Kept: 76075
% 51.20/51.62 Inuse: 21487
% 51.20/51.62 Deleted: 3183
% 51.20/51.62 Deletedinuse: 24
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 Intermediate Status:
% 51.20/51.62 Generated: 134681
% 51.20/51.62 Kept: 78075
% 51.20/51.62 Inuse: 22141
% 51.20/51.62 Deleted: 3183
% 51.20/51.62 Deletedinuse: 24
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62 Resimplifying clauses:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 Intermediate Status:
% 51.20/51.62 Generated: 138291
% 51.20/51.62 Kept: 80082
% 51.20/51.62 Inuse: 22743
% 51.20/51.62 Deleted: 4122
% 51.20/51.62 Deletedinuse: 24
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 Intermediate Status:
% 51.20/51.62 Generated: 142087
% 51.20/51.62 Kept: 82084
% 51.20/51.62 Inuse: 23373
% 51.20/51.62 Deleted: 4122
% 51.20/51.62 Deletedinuse: 24
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 Intermediate Status:
% 51.20/51.62 Generated: 145508
% 51.20/51.62 Kept: 84084
% 51.20/51.62 Inuse: 23943
% 51.20/51.62 Deleted: 4122
% 51.20/51.62 Deletedinuse: 24
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 Intermediate Status:
% 51.20/51.62 Generated: 148887
% 51.20/51.62 Kept: 86089
% 51.20/51.62 Inuse: 24503
% 51.20/51.62 Deleted: 4122
% 51.20/51.62 Deletedinuse: 24
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 Intermediate Status:
% 51.20/51.62 Generated: 152363
% 51.20/51.62 Kept: 88089
% 51.20/51.62 Inuse: 25092
% 51.20/51.62 Deleted: 4122
% 51.20/51.62 Deletedinuse: 24
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 Intermediate Status:
% 51.20/51.62 Generated: 155461
% 51.20/51.62 Kept: 90091
% 51.20/51.62 Inuse: 25619
% 51.20/51.62 Deleted: 4122
% 51.20/51.62 Deletedinuse: 24
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 Intermediate Status:
% 51.20/51.62 Generated: 158290
% 51.20/51.62 Kept: 92091
% 51.20/51.62 Inuse: 26095
% 51.20/51.62 Deleted: 4122
% 51.20/51.62 Deletedinuse: 24
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 Intermediate Status:
% 51.20/51.62 Generated: 161534
% 51.20/51.62 Kept: 94091
% 51.20/51.62 Inuse: 26650
% 51.20/51.62 Deleted: 4122
% 51.20/51.62 Deletedinuse: 24
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 Intermediate Status:
% 51.20/51.62 Generated: 165517
% 51.20/51.62 Kept: 96094
% 51.20/51.62 Inuse: 27308
% 51.20/51.62 Deleted: 4122
% 51.20/51.62 Deletedinuse: 24
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 Intermediate Status:
% 51.20/51.62 Generated: 168777
% 51.20/51.62 Kept: 98094
% 51.20/51.62 Inuse: 27890
% 51.20/51.62 Deleted: 4122
% 51.20/51.62 Deletedinuse: 24
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62 Resimplifying clauses:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 Intermediate Status:
% 51.20/51.62 Generated: 171671
% 51.20/51.62 Kept: 100095
% 51.20/51.62 Inuse: 28402
% 51.20/51.62 Deleted: 4946
% 51.20/51.62 Deletedinuse: 24
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 Intermediate Status:
% 51.20/51.62 Generated: 174558
% 51.20/51.62 Kept: 102097
% 51.20/51.62 Inuse: 28918
% 51.20/51.62 Deleted: 4946
% 51.20/51.62 Deletedinuse: 24
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 Intermediate Status:
% 51.20/51.62 Generated: 177689
% 51.20/51.62 Kept: 104101
% 51.20/51.62 Inuse: 29498
% 51.20/51.62 Deleted: 4946
% 51.20/51.62 Deletedinuse: 24
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 Intermediate Status:
% 51.20/51.62 Generated: 180957
% 51.20/51.62 Kept: 106107
% 51.20/51.62 Inuse: 30108
% 51.20/51.62 Deleted: 4946
% 51.20/51.62 Deletedinuse: 24
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 Intermediate Status:
% 51.20/51.62 Generated: 184284
% 51.20/51.62 Kept: 108110
% 51.20/51.62 Inuse: 30673
% 51.20/51.62 Deleted: 4946
% 51.20/51.62 Deletedinuse: 24
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 Intermediate Status:
% 51.20/51.62 Generated: 187646
% 51.20/51.62 Kept: 110110
% 51.20/51.62 Inuse: 31260
% 51.20/51.62 Deleted: 4946
% 51.20/51.62 Deletedinuse: 24
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 Intermediate Status:
% 51.20/51.62 Generated: 191035
% 51.20/51.62 Kept: 112113
% 51.20/51.62 Inuse: 31835
% 51.20/51.62 Deleted: 4946
% 51.20/51.62 Deletedinuse: 24
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 Intermediate Status:
% 51.20/51.62 Generated: 194324
% 51.20/51.62 Kept: 114113
% 51.20/51.62 Inuse: 32421
% 51.20/51.62 Deleted: 4946
% 51.20/51.62 Deletedinuse: 24
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 Intermediate Status:
% 51.20/51.62 Generated: 197948
% 51.20/51.62 Kept: 116116
% 51.20/51.62 Inuse: 33046
% 51.20/51.62 Deleted: 4946
% 51.20/51.62 Deletedinuse: 24
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 Intermediate Status:
% 51.20/51.62 Generated: 201338
% 51.20/51.62 Kept: 118119
% 51.20/51.62 Inuse: 33611
% 51.20/51.62 Deleted: 4946
% 51.20/51.62 Deletedinuse: 24
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62 Resimplifying clauses:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 Intermediate Status:
% 51.20/51.62 Generated: 204747
% 51.20/51.62 Kept: 120121
% 51.20/51.62 Inuse: 34194
% 51.20/51.62 Deleted: 5743
% 51.20/51.62 Deletedinuse: 24
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62 Done
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 Intermediate Status:
% 51.20/51.62 Generated: 208065
% 51.20/51.62 Kept: 122121
% 51.20/51.62 Inuse: 34761
% 51.20/51.62 Deleted: 5743
% 51.20/51.62 Deletedinuse: 24
% 51.20/51.62
% 51.20/51.62 Resimplifying inuse:
% 51.20/51.62
% 51.20/51.62 Bliksems!, er is een bewijs:
% 51.20/51.62 % SZS status Unsatisfiable
% 51.20/51.62 % SZS output start Refutation
% 51.20/51.62
% 51.20/51.62 clause( 0, [ axiom( or( not( or( X, X ) ), X ) ) ] )
% 51.20/51.62 .
% 51.20/51.62 clause( 1, [ axiom( or( not( X ), or( Y, X ) ) ) ] )
% 51.20/51.62 .
% 51.20/51.62 clause( 2, [ axiom( or( not( or( X, Y ) ), or( Y, X ) ) ) ] )
% 51.20/51.62 .
% 51.20/51.62 clause( 3, [ axiom( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z ) ) ) )
% 51.20/51.62 ] )
% 51.20/51.62 .
% 51.20/51.62 clause( 4, [ axiom( or( not( or( not( X ), Y ) ), or( not( or( Z, X ) ), or(
% 51.20/51.62 Z, Y ) ) ) ) ] )
% 51.20/51.62 .
% 51.20/51.62 clause( 5, [ theorem( X ), ~( axiom( X ) ) ] )
% 51.20/51.62 .
% 51.20/51.62 clause( 6, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( or( not( Y ), X ) )
% 51.20/51.62 ) ] )
% 51.20/51.62 .
% 51.20/51.62 clause( 7, [ theorem( or( not( X ), Y ) ), ~( theorem( or( not( Z ), Y ) )
% 51.20/51.62 ), ~( axiom( or( not( X ), Z ) ) ) ] )
% 51.20/51.62 .
% 51.20/51.62 clause( 8, [ ~( theorem( or( not( or( p, q ) ), or( not( or( p, or( not( q
% 51.20/51.62 ), r ) ) ), or( p, r ) ) ) ) ) ] )
% 51.20/51.62 .
% 51.20/51.62 clause( 11, [ theorem( or( not( or( X, Y ) ), or( Y, X ) ) ) ] )
% 51.20/51.62 .
% 51.20/51.62 clause( 13, [ theorem( X ), ~( theorem( or( X, X ) ) ) ] )
% 51.20/51.62 .
% 51.20/51.62 clause( 18, [ theorem( or( X, or( Y, Z ) ) ), ~( theorem( or( Y, or( X, Z )
% 51.20/51.62 ) ) ) ] )
% 51.20/51.62 .
% 51.20/51.62 clause( 27, [ theorem( or( not( or( X, Y ) ), or( X, Z ) ) ), ~( theorem(
% 51.20/51.62 or( not( Y ), Z ) ) ) ] )
% 51.20/51.62 .
% 51.20/51.62 clause( 34, [ theorem( or( not( or( not( X ), Y ) ), Z ) ), ~( theorem( or(
% 51.20/51.62 not( or( not( or( T, X ) ), or( T, Y ) ) ), Z ) ) ) ] )
% 51.20/51.62 .
% 51.20/51.62 clause( 35, [ theorem( or( not( or( X, or( Y, Z ) ) ), T ) ), ~( theorem(
% 51.20/51.62 or( not( or( Y, or( X, Z ) ) ), T ) ) ) ] )
% 51.20/51.62 .
% 51.20/51.62 clause( 36, [ theorem( or( not( or( X, Y ) ), Z ) ), ~( theorem( or( not(
% 51.20/51.62 or( Y, X ) ), Z ) ) ) ] )
% 51.20/51.62 .
% 51.20/51.62 clause( 38, [ theorem( or( not( X ), Y ) ), ~( theorem( or( not( or( Z, X )
% 51.20/51.62 ), Y ) ) ) ] )
% 51.20/51.62 .
% 51.20/51.62 clause( 220, [ theorem( or( not( X ), or( X, Y ) ) ) ] )
% 51.20/51.62 .
% 51.20/51.62 clause( 226, [ theorem( or( not( or( X, Y ) ), or( X, or( Y, Z ) ) ) ) ] )
% 51.20/51.62 .
% 51.20/51.62 clause( 419, [ theorem( or( not( or( X, Y ) ), or( Y, or( X, Z ) ) ) ) ] )
% 51.20/51.62 .
% 51.20/51.62 clause( 427, [ theorem( or( not( or( X, or( Y, Z ) ) ), or( or( X, Z ), or(
% 51.20/51.62 Y, T ) ) ) ) ] )
% 51.20/51.62 .
% 51.20/51.62 clause( 3909, [ theorem( or( not( or( X, Y ) ), or( or( Z, Y ), or( X, T )
% 51.20/51.62 ) ) ) ] )
% 51.20/51.62 .
% 51.20/51.62 clause( 3918, [ theorem( or( not( or( X, Y ) ), or( or( Z, X ), or( Y, T )
% 51.20/51.62 ) ) ) ] )
% 51.20/51.62 .
% 51.20/51.62 clause( 3929, [ theorem( or( or( X, Y ), or( not( or( Y, Z ) ), or( Z, T )
% 51.20/51.62 ) ) ) ] )
% 51.20/51.62 .
% 51.20/51.62 clause( 3943, [ theorem( or( not( or( or( X, Y ), X ) ), or( X, Y ) ) ) ]
% 51.20/51.62 )
% 51.20/51.62 .
% 51.20/51.62 clause( 3946, [ theorem( or( not( or( X, or( X, Y ) ) ), or( X, Y ) ) ) ]
% 51.20/51.62 )
% 51.20/51.62 .
% 51.20/51.62 clause( 3953, [ theorem( or( not( or( X, or( Y, or( Y, Z ) ) ) ), or( X, or(
% 51.20/51.62 Y, Z ) ) ) ) ] )
% 51.20/51.62 .
% 51.20/51.62 clause( 29152, [ theorem( or( not( or( not( X ), or( Y, Z ) ) ), or( not(
% 51.20/51.62 or( Y, X ) ), or( Y, Z ) ) ) ) ] )
% 51.20/51.62 .
% 51.20/51.62 clause( 74225, [ theorem( or( not( or( X, or( not( Y ), Z ) ) ), or( not(
% 51.20/51.62 or( X, Y ) ), or( X, Z ) ) ) ) ] )
% 51.20/51.62 .
% 51.20/51.62 clause( 121924, [ theorem( or( not( or( X, Y ) ), or( not( or( X, or( not(
% 51.20/51.62 Y ), Z ) ) ), or( X, Z ) ) ) ) ] )
% 51.20/51.62 .
% 51.20/51.62 clause( 122248, [] )
% 51.20/51.62 .
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 % SZS output end Refutation
% 51.20/51.62 found a proof!
% 51.20/51.62
% 51.20/51.62 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 51.20/51.62
% 51.20/51.62 initialclauses(
% 51.20/51.62 [ clause( 122250, [ axiom( or( not( or( X, X ) ), X ) ) ] )
% 51.20/51.62 , clause( 122251, [ axiom( or( not( X ), or( Y, X ) ) ) ] )
% 51.20/51.62 , clause( 122252, [ axiom( or( not( or( X, Y ) ), or( Y, X ) ) ) ] )
% 51.20/51.62 , clause( 122253, [ axiom( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z
% 51.20/51.62 ) ) ) ) ] )
% 51.20/51.62 , clause( 122254, [ axiom( or( not( or( not( X ), Y ) ), or( not( or( Z, X
% 51.20/51.62 ) ), or( Z, Y ) ) ) ) ] )
% 51.20/51.62 , clause( 122255, [ theorem( X ), ~( axiom( X ) ) ] )
% 51.20/51.62 , clause( 122256, [ theorem( X ), ~( axiom( or( not( Y ), X ) ) ), ~(
% 51.20/51.62 theorem( Y ) ) ] )
% 51.20/51.62 , clause( 122257, [ theorem( or( not( X ), Y ) ), ~( axiom( or( not( X ), Z
% 51.20/51.62 ) ) ), ~( theorem( or( not( Z ), Y ) ) ) ] )
% 51.20/51.62 , clause( 122258, [ ~( theorem( or( not( or( p, q ) ), or( not( or( p, or(
% 51.20/51.62 not( q ), r ) ) ), or( p, r ) ) ) ) ) ] )
% 51.20/51.62 ] ).
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 subsumption(
% 51.20/51.62 clause( 0, [ axiom( or( not( or( X, X ) ), X ) ) ] )
% 51.20/51.62 , clause( 122250, [ axiom( or( not( or( X, X ) ), X ) ) ] )
% 51.20/51.62 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 subsumption(
% 51.20/51.62 clause( 1, [ axiom( or( not( X ), or( Y, X ) ) ) ] )
% 51.20/51.62 , clause( 122251, [ axiom( or( not( X ), or( Y, X ) ) ) ] )
% 51.20/51.62 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 51.20/51.62 )] ) ).
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 subsumption(
% 51.20/51.62 clause( 2, [ axiom( or( not( or( X, Y ) ), or( Y, X ) ) ) ] )
% 51.20/51.62 , clause( 122252, [ axiom( or( not( or( X, Y ) ), or( Y, X ) ) ) ] )
% 51.20/51.62 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 51.20/51.62 )] ) ).
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 subsumption(
% 51.20/51.62 clause( 3, [ axiom( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z ) ) ) )
% 51.20/51.62 ] )
% 51.20/51.62 , clause( 122253, [ axiom( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z
% 51.20/51.62 ) ) ) ) ] )
% 51.20/51.62 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 51.20/51.62 permutation( 0, [ ==>( 0, 0 )] ) ).
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 subsumption(
% 51.20/51.62 clause( 4, [ axiom( or( not( or( not( X ), Y ) ), or( not( or( Z, X ) ), or(
% 51.20/51.62 Z, Y ) ) ) ) ] )
% 51.20/51.62 , clause( 122254, [ axiom( or( not( or( not( X ), Y ) ), or( not( or( Z, X
% 51.20/51.62 ) ), or( Z, Y ) ) ) ) ] )
% 51.20/51.62 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 51.20/51.62 permutation( 0, [ ==>( 0, 0 )] ) ).
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 subsumption(
% 51.20/51.62 clause( 5, [ theorem( X ), ~( axiom( X ) ) ] )
% 51.20/51.62 , clause( 122255, [ theorem( X ), ~( axiom( X ) ) ] )
% 51.20/51.62 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 51.20/51.62 1 )] ) ).
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 subsumption(
% 51.20/51.62 clause( 6, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( or( not( Y ), X ) )
% 51.20/51.62 ) ] )
% 51.20/51.62 , clause( 122256, [ theorem( X ), ~( axiom( or( not( Y ), X ) ) ), ~(
% 51.20/51.62 theorem( Y ) ) ] )
% 51.20/51.62 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 51.20/51.62 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 subsumption(
% 51.20/51.62 clause( 7, [ theorem( or( not( X ), Y ) ), ~( theorem( or( not( Z ), Y ) )
% 51.20/51.62 ), ~( axiom( or( not( X ), Z ) ) ) ] )
% 51.20/51.62 , clause( 122257, [ theorem( or( not( X ), Y ) ), ~( axiom( or( not( X ), Z
% 51.20/51.62 ) ) ), ~( theorem( or( not( Z ), Y ) ) ) ] )
% 51.20/51.62 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 51.20/51.62 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 subsumption(
% 51.20/51.62 clause( 8, [ ~( theorem( or( not( or( p, q ) ), or( not( or( p, or( not( q
% 51.20/51.62 ), r ) ) ), or( p, r ) ) ) ) ) ] )
% 51.20/51.62 , clause( 122258, [ ~( theorem( or( not( or( p, q ) ), or( not( or( p, or(
% 51.20/51.62 not( q ), r ) ) ), or( p, r ) ) ) ) ) ] )
% 51.20/51.62 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 resolution(
% 51.20/51.62 clause( 122259, [ theorem( or( not( or( X, Y ) ), or( Y, X ) ) ) ] )
% 51.20/51.62 , clause( 5, [ theorem( X ), ~( axiom( X ) ) ] )
% 51.20/51.62 , 1, clause( 2, [ axiom( or( not( or( X, Y ) ), or( Y, X ) ) ) ] )
% 51.20/51.62 , 0, substitution( 0, [ :=( X, or( not( or( X, Y ) ), or( Y, X ) ) )] ),
% 51.20/51.62 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 subsumption(
% 51.20/51.62 clause( 11, [ theorem( or( not( or( X, Y ) ), or( Y, X ) ) ) ] )
% 51.20/51.62 , clause( 122259, [ theorem( or( not( or( X, Y ) ), or( Y, X ) ) ) ] )
% 51.20/51.62 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 51.20/51.62 )] ) ).
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 resolution(
% 51.20/51.62 clause( 122260, [ theorem( X ), ~( theorem( or( X, X ) ) ) ] )
% 51.20/51.62 , clause( 6, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( or( not( Y ), X )
% 51.20/51.62 ) ) ] )
% 51.20/51.62 , 2, clause( 0, [ axiom( or( not( or( X, X ) ), X ) ) ] )
% 51.20/51.62 , 0, substitution( 0, [ :=( X, X ), :=( Y, or( X, X ) )] ), substitution( 1
% 51.20/51.62 , [ :=( X, X )] )).
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 subsumption(
% 51.20/51.62 clause( 13, [ theorem( X ), ~( theorem( or( X, X ) ) ) ] )
% 51.20/51.62 , clause( 122260, [ theorem( X ), ~( theorem( or( X, X ) ) ) ] )
% 51.20/51.62 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 51.20/51.62 1 )] ) ).
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 resolution(
% 51.20/51.62 clause( 122261, [ theorem( or( X, or( Y, Z ) ) ), ~( theorem( or( Y, or( X
% 51.20/51.62 , Z ) ) ) ) ] )
% 51.20/51.62 , clause( 6, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( or( not( Y ), X )
% 51.20/51.62 ) ) ] )
% 51.20/51.62 , 2, clause( 3, [ axiom( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z )
% 51.20/51.62 ) ) ) ] )
% 51.20/51.62 , 0, substitution( 0, [ :=( X, or( X, or( Y, Z ) ) ), :=( Y, or( Y, or( X,
% 51.20/51.62 Z ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 subsumption(
% 51.20/51.62 clause( 18, [ theorem( or( X, or( Y, Z ) ) ), ~( theorem( or( Y, or( X, Z )
% 51.20/51.62 ) ) ) ] )
% 51.20/51.62 , clause( 122261, [ theorem( or( X, or( Y, Z ) ) ), ~( theorem( or( Y, or(
% 51.20/51.62 X, Z ) ) ) ) ] )
% 51.20/51.62 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 51.20/51.62 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 resolution(
% 51.20/51.62 clause( 122262, [ theorem( or( not( or( X, Y ) ), or( X, Z ) ) ), ~(
% 51.20/51.62 theorem( or( not( Y ), Z ) ) ) ] )
% 51.20/51.62 , clause( 6, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( or( not( Y ), X )
% 51.20/51.62 ) ) ] )
% 51.20/51.62 , 2, clause( 4, [ axiom( or( not( or( not( X ), Y ) ), or( not( or( Z, X )
% 51.20/51.62 ), or( Z, Y ) ) ) ) ] )
% 51.20/51.62 , 0, substitution( 0, [ :=( X, or( not( or( X, Y ) ), or( X, Z ) ) ), :=( Y
% 51.20/51.62 , or( not( Y ), Z ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=(
% 51.20/51.62 Z, X )] )).
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 subsumption(
% 51.20/51.62 clause( 27, [ theorem( or( not( or( X, Y ) ), or( X, Z ) ) ), ~( theorem(
% 51.20/51.62 or( not( Y ), Z ) ) ) ] )
% 51.20/51.62 , clause( 122262, [ theorem( or( not( or( X, Y ) ), or( X, Z ) ) ), ~(
% 51.20/51.62 theorem( or( not( Y ), Z ) ) ) ] )
% 51.20/51.62 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 51.20/51.62 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 resolution(
% 51.20/51.62 clause( 122263, [ theorem( or( not( or( not( X ), Y ) ), Z ) ), ~( theorem(
% 51.20/51.62 or( not( or( not( or( T, X ) ), or( T, Y ) ) ), Z ) ) ) ] )
% 51.20/51.62 , clause( 7, [ theorem( or( not( X ), Y ) ), ~( theorem( or( not( Z ), Y )
% 51.20/51.62 ) ), ~( axiom( or( not( X ), Z ) ) ) ] )
% 51.20/51.62 , 2, clause( 4, [ axiom( or( not( or( not( X ), Y ) ), or( not( or( Z, X )
% 51.20/51.62 ), or( Z, Y ) ) ) ) ] )
% 51.20/51.62 , 0, substitution( 0, [ :=( X, or( not( X ), Y ) ), :=( Y, Z ), :=( Z, or(
% 51.20/51.62 not( or( T, X ) ), or( T, Y ) ) )] ), substitution( 1, [ :=( X, X ), :=(
% 51.20/51.62 Y, Y ), :=( Z, T )] )).
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 subsumption(
% 51.20/51.62 clause( 34, [ theorem( or( not( or( not( X ), Y ) ), Z ) ), ~( theorem( or(
% 51.20/51.62 not( or( not( or( T, X ) ), or( T, Y ) ) ), Z ) ) ) ] )
% 51.20/51.62 , clause( 122263, [ theorem( or( not( or( not( X ), Y ) ), Z ) ), ~(
% 51.20/51.62 theorem( or( not( or( not( or( T, X ) ), or( T, Y ) ) ), Z ) ) ) ] )
% 51.20/51.62 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 51.20/51.62 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 resolution(
% 51.20/51.62 clause( 122264, [ theorem( or( not( or( X, or( Y, Z ) ) ), T ) ), ~(
% 51.20/51.62 theorem( or( not( or( Y, or( X, Z ) ) ), T ) ) ) ] )
% 51.20/51.62 , clause( 7, [ theorem( or( not( X ), Y ) ), ~( theorem( or( not( Z ), Y )
% 51.20/51.62 ) ), ~( axiom( or( not( X ), Z ) ) ) ] )
% 51.20/51.62 , 2, clause( 3, [ axiom( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z )
% 51.20/51.62 ) ) ) ] )
% 51.20/51.62 , 0, substitution( 0, [ :=( X, or( X, or( Y, Z ) ) ), :=( Y, T ), :=( Z, or(
% 51.20/51.62 Y, or( X, Z ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z
% 51.20/51.62 )] )).
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 subsumption(
% 51.20/51.62 clause( 35, [ theorem( or( not( or( X, or( Y, Z ) ) ), T ) ), ~( theorem(
% 51.20/51.62 or( not( or( Y, or( X, Z ) ) ), T ) ) ) ] )
% 51.20/51.62 , clause( 122264, [ theorem( or( not( or( X, or( Y, Z ) ) ), T ) ), ~(
% 51.20/51.62 theorem( or( not( or( Y, or( X, Z ) ) ), T ) ) ) ] )
% 51.20/51.62 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 51.20/51.62 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 resolution(
% 51.20/51.62 clause( 122265, [ theorem( or( not( or( X, Y ) ), Z ) ), ~( theorem( or(
% 51.20/51.62 not( or( Y, X ) ), Z ) ) ) ] )
% 51.20/51.62 , clause( 7, [ theorem( or( not( X ), Y ) ), ~( theorem( or( not( Z ), Y )
% 51.20/51.62 ) ), ~( axiom( or( not( X ), Z ) ) ) ] )
% 51.20/51.62 , 2, clause( 2, [ axiom( or( not( or( X, Y ) ), or( Y, X ) ) ) ] )
% 51.20/51.62 , 0, substitution( 0, [ :=( X, or( X, Y ) ), :=( Y, Z ), :=( Z, or( Y, X )
% 51.20/51.62 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 subsumption(
% 51.20/51.62 clause( 36, [ theorem( or( not( or( X, Y ) ), Z ) ), ~( theorem( or( not(
% 51.20/51.62 or( Y, X ) ), Z ) ) ) ] )
% 51.20/51.62 , clause( 122265, [ theorem( or( not( or( X, Y ) ), Z ) ), ~( theorem( or(
% 51.20/51.62 not( or( Y, X ) ), Z ) ) ) ] )
% 51.20/51.62 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 51.20/51.62 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 resolution(
% 51.20/51.62 clause( 122266, [ theorem( or( not( X ), Y ) ), ~( theorem( or( not( or( Z
% 51.20/51.62 , X ) ), Y ) ) ) ] )
% 51.20/51.62 , clause( 7, [ theorem( or( not( X ), Y ) ), ~( theorem( or( not( Z ), Y )
% 51.20/51.62 ) ), ~( axiom( or( not( X ), Z ) ) ) ] )
% 51.20/51.62 , 2, clause( 1, [ axiom( or( not( X ), or( Y, X ) ) ) ] )
% 51.20/51.62 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, or( Z, X ) )] ),
% 51.20/51.62 substitution( 1, [ :=( X, X ), :=( Y, Z )] )).
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 subsumption(
% 51.20/51.62 clause( 38, [ theorem( or( not( X ), Y ) ), ~( theorem( or( not( or( Z, X )
% 51.20/51.62 ), Y ) ) ) ] )
% 51.20/51.62 , clause( 122266, [ theorem( or( not( X ), Y ) ), ~( theorem( or( not( or(
% 51.20/51.62 Z, X ) ), Y ) ) ) ] )
% 51.20/51.62 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 51.20/51.62 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 resolution(
% 51.20/51.62 clause( 122267, [ theorem( or( not( X ), or( X, Y ) ) ) ] )
% 51.20/51.62 , clause( 38, [ theorem( or( not( X ), Y ) ), ~( theorem( or( not( or( Z, X
% 51.20/51.62 ) ), Y ) ) ) ] )
% 51.20/51.62 , 1, clause( 11, [ theorem( or( not( or( X, Y ) ), or( Y, X ) ) ) ] )
% 51.20/51.62 , 0, substitution( 0, [ :=( X, X ), :=( Y, or( X, Y ) ), :=( Z, Y )] ),
% 51.20/51.62 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 subsumption(
% 51.20/51.62 clause( 220, [ theorem( or( not( X ), or( X, Y ) ) ) ] )
% 51.20/51.62 , clause( 122267, [ theorem( or( not( X ), or( X, Y ) ) ) ] )
% 51.20/51.62 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 51.20/51.62 )] ) ).
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 resolution(
% 51.20/51.62 clause( 122268, [ theorem( or( not( or( X, Y ) ), or( X, or( Y, Z ) ) ) ) ]
% 51.20/51.62 )
% 51.20/51.62 , clause( 27, [ theorem( or( not( or( X, Y ) ), or( X, Z ) ) ), ~( theorem(
% 51.20/51.62 or( not( Y ), Z ) ) ) ] )
% 51.20/51.62 , 1, clause( 220, [ theorem( or( not( X ), or( X, Y ) ) ) ] )
% 51.20/51.62 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, or( Y, Z ) )] ),
% 51.20/51.62 substitution( 1, [ :=( X, Y ), :=( Y, Z )] )).
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 subsumption(
% 51.20/51.62 clause( 226, [ theorem( or( not( or( X, Y ) ), or( X, or( Y, Z ) ) ) ) ] )
% 51.20/51.62 , clause( 122268, [ theorem( or( not( or( X, Y ) ), or( X, or( Y, Z ) ) ) )
% 51.20/51.62 ] )
% 51.20/51.62 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 51.20/51.62 permutation( 0, [ ==>( 0, 0 )] ) ).
% 51.20/51.62
% 51.20/51.62
% 51.20/51.62 resolution(
% 51.20/51.63 clause( 122269, [ theorem( or( not( or( X, Y ) ), or( Y, or( X, Z ) ) ) ) ]
% 51.20/51.63 )
% 51.20/51.63 , clause( 36, [ theorem( or( not( or( X, Y ) ), Z ) ), ~( theorem( or( not(
% 51.20/51.63 or( Y, X ) ), Z ) ) ) ] )
% 51.20/51.63 , 1, clause( 226, [ theorem( or( not( or( X, Y ) ), or( X, or( Y, Z ) ) ) )
% 51.20/51.63 ] )
% 51.20/51.63 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, or( Y, or( X, Z ) )
% 51.20/51.63 )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 51.20/51.63
% 51.20/51.63
% 51.20/51.63 subsumption(
% 51.20/51.63 clause( 419, [ theorem( or( not( or( X, Y ) ), or( Y, or( X, Z ) ) ) ) ] )
% 51.20/51.63 , clause( 122269, [ theorem( or( not( or( X, Y ) ), or( Y, or( X, Z ) ) ) )
% 51.20/51.63 ] )
% 51.20/51.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 51.20/51.63 permutation( 0, [ ==>( 0, 0 )] ) ).
% 51.20/51.63
% 51.20/51.63
% 51.20/51.63 resolution(
% 51.20/51.63 clause( 122270, [ theorem( or( not( or( X, or( Y, Z ) ) ), or( or( X, Z ),
% 51.20/51.63 or( Y, T ) ) ) ) ] )
% 51.20/51.63 , clause( 35, [ theorem( or( not( or( X, or( Y, Z ) ) ), T ) ), ~( theorem(
% 51.20/51.63 or( not( or( Y, or( X, Z ) ) ), T ) ) ) ] )
% 51.20/51.63 , 1, clause( 419, [ theorem( or( not( or( X, Y ) ), or( Y, or( X, Z ) ) ) )
% 51.20/51.63 ] )
% 51.20/51.63 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, or( or(
% 51.20/51.63 X, Z ), or( Y, T ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, or( X, Z
% 51.20/51.63 ) ), :=( Z, T )] )).
% 51.20/51.63
% 51.20/51.63
% 51.20/51.63 subsumption(
% 51.20/51.63 clause( 427, [ theorem( or( not( or( X, or( Y, Z ) ) ), or( or( X, Z ), or(
% 51.20/51.63 Y, T ) ) ) ) ] )
% 51.20/51.63 , clause( 122270, [ theorem( or( not( or( X, or( Y, Z ) ) ), or( or( X, Z )
% 51.20/51.63 , or( Y, T ) ) ) ) ] )
% 51.20/51.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 51.20/51.63 permutation( 0, [ ==>( 0, 0 )] ) ).
% 51.20/51.63
% 51.20/51.63
% 51.20/51.63 resolution(
% 51.20/51.63 clause( 122271, [ theorem( or( not( or( X, Y ) ), or( or( Z, Y ), or( X, T
% 51.20/51.63 ) ) ) ) ] )
% 51.20/51.63 , clause( 38, [ theorem( or( not( X ), Y ) ), ~( theorem( or( not( or( Z, X
% 51.20/51.63 ) ), Y ) ) ) ] )
% 51.20/51.63 , 1, clause( 427, [ theorem( or( not( or( X, or( Y, Z ) ) ), or( or( X, Z )
% 51.20/51.63 , or( Y, T ) ) ) ) ] )
% 51.20/51.63 , 0, substitution( 0, [ :=( X, or( X, Y ) ), :=( Y, or( or( Z, Y ), or( X,
% 51.20/51.63 T ) ) ), :=( Z, Z )] ), substitution( 1, [ :=( X, Z ), :=( Y, X ), :=( Z
% 51.20/51.63 , Y ), :=( T, T )] )).
% 51.20/51.63
% 51.20/51.63
% 51.20/51.63 subsumption(
% 51.20/51.63 clause( 3909, [ theorem( or( not( or( X, Y ) ), or( or( Z, Y ), or( X, T )
% 51.20/51.63 ) ) ) ] )
% 51.20/51.63 , clause( 122271, [ theorem( or( not( or( X, Y ) ), or( or( Z, Y ), or( X,
% 51.20/51.63 T ) ) ) ) ] )
% 51.20/51.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 51.20/51.63 permutation( 0, [ ==>( 0, 0 )] ) ).
% 51.20/51.63
% 51.20/51.63
% 51.20/51.63 resolution(
% 51.20/51.63 clause( 122272, [ theorem( or( not( or( X, Y ) ), or( or( Z, X ), or( Y, T
% 51.20/51.63 ) ) ) ) ] )
% 51.20/51.63 , clause( 36, [ theorem( or( not( or( X, Y ) ), Z ) ), ~( theorem( or( not(
% 51.20/51.63 or( Y, X ) ), Z ) ) ) ] )
% 51.20/51.63 , 1, clause( 3909, [ theorem( or( not( or( X, Y ) ), or( or( Z, Y ), or( X
% 51.20/51.63 , T ) ) ) ) ] )
% 51.20/51.63 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, or( or( Z, X ), or(
% 51.20/51.63 Y, T ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ),
% 51.20/51.63 :=( T, T )] )).
% 51.20/51.63
% 51.20/51.63
% 51.20/51.63 subsumption(
% 51.20/51.63 clause( 3918, [ theorem( or( not( or( X, Y ) ), or( or( Z, X ), or( Y, T )
% 51.20/51.63 ) ) ) ] )
% 51.20/51.63 , clause( 122272, [ theorem( or( not( or( X, Y ) ), or( or( Z, X ), or( Y,
% 51.20/51.63 T ) ) ) ) ] )
% 51.20/51.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 51.20/51.63 permutation( 0, [ ==>( 0, 0 )] ) ).
% 51.20/51.63
% 51.20/51.63
% 51.20/51.63 resolution(
% 51.20/51.63 clause( 122273, [ theorem( or( or( X, Y ), or( not( or( Y, Z ) ), or( Z, T
% 51.20/51.63 ) ) ) ) ] )
% 51.20/51.63 , clause( 18, [ theorem( or( X, or( Y, Z ) ) ), ~( theorem( or( Y, or( X, Z
% 51.20/51.63 ) ) ) ) ] )
% 51.20/51.63 , 1, clause( 3918, [ theorem( or( not( or( X, Y ) ), or( or( Z, X ), or( Y
% 51.20/51.63 , T ) ) ) ) ] )
% 51.20/51.63 , 0, substitution( 0, [ :=( X, or( X, Y ) ), :=( Y, not( or( Y, Z ) ) ),
% 51.20/51.63 :=( Z, or( Z, T ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z
% 51.20/51.63 , X ), :=( T, T )] )).
% 51.20/51.63
% 51.20/51.63
% 51.20/51.63 subsumption(
% 51.20/51.63 clause( 3929, [ theorem( or( or( X, Y ), or( not( or( Y, Z ) ), or( Z, T )
% 51.20/51.63 ) ) ) ] )
% 51.20/51.63 , clause( 122273, [ theorem( or( or( X, Y ), or( not( or( Y, Z ) ), or( Z,
% 51.20/51.63 T ) ) ) ) ] )
% 51.20/51.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 51.20/51.63 permutation( 0, [ ==>( 0, 0 )] ) ).
% 51.20/51.63
% 51.20/51.63
% 51.20/51.63 resolution(
% 51.20/51.63 clause( 122274, [ theorem( or( not( or( or( X, Y ), X ) ), or( X, Y ) ) ) ]
% 51.20/51.63 )
% 51.20/51.63 , clause( 13, [ theorem( X ), ~( theorem( or( X, X ) ) ) ] )
% 51.20/51.63 , 1, clause( 3929, [ theorem( or( or( X, Y ), or( not( or( Y, Z ) ), or( Z
% 51.20/51.63 , T ) ) ) ) ] )
% 51.20/51.63 , 0, substitution( 0, [ :=( X, or( not( or( or( X, Y ), X ) ), or( X, Y ) )
% 51.20/51.63 )] ), substitution( 1, [ :=( X, not( or( or( X, Y ), X ) ) ), :=( Y, or(
% 51.20/51.63 X, Y ) ), :=( Z, X ), :=( T, Y )] )).
% 51.20/51.63
% 51.20/51.63
% 51.20/51.63 subsumption(
% 51.20/51.63 clause( 3943, [ theorem( or( not( or( or( X, Y ), X ) ), or( X, Y ) ) ) ]
% 51.20/51.63 )
% 51.20/51.63 , clause( 122274, [ theorem( or( not( or( or( X, Y ), X ) ), or( X, Y ) ) )
% 51.20/51.63 ] )
% 51.20/51.63 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 51.20/51.63 )] ) ).
% 51.20/51.63
% 51.20/51.63
% 51.20/51.63 resolution(
% 51.20/51.63 clause( 122275, [ theorem( or( not( or( X, or( X, Y ) ) ), or( X, Y ) ) ) ]
% 51.20/51.63 )
% 51.20/51.63 , clause( 36, [ theorem( or( not( or( X, Y ) ), Z ) ), ~( theorem( or( not(
% 51.20/51.63 or( Y, X ) ), Z ) ) ) ] )
% 51.20/51.63 , 1, clause( 3943, [ theorem( or( not( or( or( X, Y ), X ) ), or( X, Y ) )
% 51.20/51.63 ) ] )
% 51.20/51.63 , 0, substitution( 0, [ :=( X, X ), :=( Y, or( X, Y ) ), :=( Z, or( X, Y )
% 51.20/51.63 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 51.20/51.63
% 51.20/51.63
% 51.20/51.63 subsumption(
% 51.20/51.63 clause( 3946, [ theorem( or( not( or( X, or( X, Y ) ) ), or( X, Y ) ) ) ]
% 51.20/51.63 )
% 51.20/51.63 , clause( 122275, [ theorem( or( not( or( X, or( X, Y ) ) ), or( X, Y ) ) )
% 51.20/51.63 ] )
% 51.20/51.63 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 51.20/51.63 )] ) ).
% 51.20/51.63
% 51.20/51.63
% 51.20/51.63 resolution(
% 51.20/51.63 clause( 122276, [ theorem( or( not( or( X, or( Y, or( Y, Z ) ) ) ), or( X,
% 51.20/51.63 or( Y, Z ) ) ) ) ] )
% 51.20/51.63 , clause( 27, [ theorem( or( not( or( X, Y ) ), or( X, Z ) ) ), ~( theorem(
% 51.20/51.63 or( not( Y ), Z ) ) ) ] )
% 51.20/51.63 , 1, clause( 3946, [ theorem( or( not( or( X, or( X, Y ) ) ), or( X, Y ) )
% 51.20/51.63 ) ] )
% 51.20/51.63 , 0, substitution( 0, [ :=( X, X ), :=( Y, or( Y, or( Y, Z ) ) ), :=( Z, or(
% 51.20/51.63 Y, Z ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z )] )).
% 51.20/51.63
% 51.20/51.63
% 51.20/51.63 subsumption(
% 51.20/51.63 clause( 3953, [ theorem( or( not( or( X, or( Y, or( Y, Z ) ) ) ), or( X, or(
% 51.20/51.63 Y, Z ) ) ) ) ] )
% 51.20/51.63 , clause( 122276, [ theorem( or( not( or( X, or( Y, or( Y, Z ) ) ) ), or( X
% 51.20/51.63 , or( Y, Z ) ) ) ) ] )
% 51.20/51.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 51.20/51.63 permutation( 0, [ ==>( 0, 0 )] ) ).
% 51.20/51.63
% 51.20/51.63
% 51.20/51.63 resolution(
% 51.20/51.63 clause( 122277, [ theorem( or( not( or( not( X ), or( Y, Z ) ) ), or( not(
% 51.20/51.63 or( Y, X ) ), or( Y, Z ) ) ) ) ] )
% 51.20/51.63 , clause( 34, [ theorem( or( not( or( not( X ), Y ) ), Z ) ), ~( theorem(
% 51.20/51.63 or( not( or( not( or( T, X ) ), or( T, Y ) ) ), Z ) ) ) ] )
% 51.20/51.63 , 1, clause( 3953, [ theorem( or( not( or( X, or( Y, or( Y, Z ) ) ) ), or(
% 51.20/51.63 X, or( Y, Z ) ) ) ) ] )
% 51.20/51.63 , 0, substitution( 0, [ :=( X, X ), :=( Y, or( Y, Z ) ), :=( Z, or( not( or(
% 51.20/51.63 Y, X ) ), or( Y, Z ) ) ), :=( T, Y )] ), substitution( 1, [ :=( X, not(
% 51.20/51.63 or( Y, X ) ) ), :=( Y, Y ), :=( Z, Z )] )).
% 51.20/51.63
% 51.20/51.63
% 51.20/51.63 subsumption(
% 51.20/51.63 clause( 29152, [ theorem( or( not( or( not( X ), or( Y, Z ) ) ), or( not(
% 51.20/51.63 or( Y, X ) ), or( Y, Z ) ) ) ) ] )
% 51.20/51.63 , clause( 122277, [ theorem( or( not( or( not( X ), or( Y, Z ) ) ), or( not(
% 51.20/51.63 or( Y, X ) ), or( Y, Z ) ) ) ) ] )
% 51.20/51.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 51.20/51.63 permutation( 0, [ ==>( 0, 0 )] ) ).
% 51.20/51.63
% 51.20/51.63
% 51.20/51.63 resolution(
% 51.20/51.63 clause( 122278, [ theorem( or( not( or( X, or( not( Y ), Z ) ) ), or( not(
% 51.20/51.63 or( X, Y ) ), or( X, Z ) ) ) ) ] )
% 51.20/51.63 , clause( 35, [ theorem( or( not( or( X, or( Y, Z ) ) ), T ) ), ~( theorem(
% 51.20/51.63 or( not( or( Y, or( X, Z ) ) ), T ) ) ) ] )
% 51.20/51.63 , 1, clause( 29152, [ theorem( or( not( or( not( X ), or( Y, Z ) ) ), or(
% 51.20/51.63 not( or( Y, X ) ), or( Y, Z ) ) ) ) ] )
% 51.20/51.63 , 0, substitution( 0, [ :=( X, X ), :=( Y, not( Y ) ), :=( Z, Z ), :=( T,
% 51.20/51.63 or( not( or( X, Y ) ), or( X, Z ) ) )] ), substitution( 1, [ :=( X, Y ),
% 51.20/51.63 :=( Y, X ), :=( Z, Z )] )).
% 51.20/51.63
% 51.20/51.63
% 51.20/51.63 subsumption(
% 51.20/51.63 clause( 74225, [ theorem( or( not( or( X, or( not( Y ), Z ) ) ), or( not(
% 51.20/51.63 or( X, Y ) ), or( X, Z ) ) ) ) ] )
% 51.20/51.63 , clause( 122278, [ theorem( or( not( or( X, or( not( Y ), Z ) ) ), or( not(
% 51.20/51.63 or( X, Y ) ), or( X, Z ) ) ) ) ] )
% 51.20/51.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 51.20/51.63 permutation( 0, [ ==>( 0, 0 )] ) ).
% 51.20/51.63
% 51.20/51.63
% 51.20/51.63 resolution(
% 51.20/51.63 clause( 122279, [ theorem( or( not( or( X, Y ) ), or( not( or( X, or( not(
% 51.20/51.63 Y ), Z ) ) ), or( X, Z ) ) ) ) ] )
% 51.20/51.63 , clause( 18, [ theorem( or( X, or( Y, Z ) ) ), ~( theorem( or( Y, or( X, Z
% 51.20/51.63 ) ) ) ) ] )
% 51.20/51.63 , 1, clause( 74225, [ theorem( or( not( or( X, or( not( Y ), Z ) ) ), or(
% 51.20/51.63 not( or( X, Y ) ), or( X, Z ) ) ) ) ] )
% 51.20/51.63 , 0, substitution( 0, [ :=( X, not( or( X, Y ) ) ), :=( Y, not( or( X, or(
% 51.20/51.63 not( Y ), Z ) ) ) ), :=( Z, or( X, Z ) )] ), substitution( 1, [ :=( X, X
% 51.20/51.63 ), :=( Y, Y ), :=( Z, Z )] )).
% 51.20/51.63
% 51.20/51.63
% 51.20/51.63 subsumption(
% 51.20/51.63 clause( 121924, [ theorem( or( not( or( X, Y ) ), or( not( or( X, or( not(
% 51.20/51.63 Y ), Z ) ) ), or( X, Z ) ) ) ) ] )
% 51.20/51.63 , clause( 122279, [ theorem( or( not( or( X, Y ) ), or( not( or( X, or( not(
% 51.20/51.63 Y ), Z ) ) ), or( X, Z ) ) ) ) ] )
% 51.20/51.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 51.20/51.63 permutation( 0, [ ==>( 0, 0 )] ) ).
% 51.20/51.63
% 51.20/51.63
% 51.20/51.63 resolution(
% 51.20/51.63 clause( 122280, [] )
% 51.20/51.63 , clause( 8, [ ~( theorem( or( not( or( p, q ) ), or( not( or( p, or( not(
% 51.20/51.63 q ), r ) ) ), or( p, r ) ) ) ) ) ] )
% 51.20/51.63 , 0, clause( 121924, [ theorem( or( not( or( X, Y ) ), or( not( or( X, or(
% 51.20/51.63 not( Y ), Z ) ) ), or( X, Z ) ) ) ) ] )
% 51.20/51.63 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, p ), :=( Y, q ), :=(
% 51.20/51.63 Z, r )] )).
% 51.20/51.63
% 51.20/51.63
% 51.20/51.63 subsumption(
% 51.20/51.63 clause( 122248, [] )
% 51.20/51.63 , clause( 122280, [] )
% 51.20/51.63 , substitution( 0, [] ), permutation( 0, [] ) ).
% 51.20/51.63
% 51.20/51.63
% 51.20/51.63 end.
% 51.20/51.63
% 51.20/51.63 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 51.20/51.63
% 51.20/51.63 Memory use:
% 51.20/51.63
% 51.20/51.63 space for terms: 2450048
% 51.20/51.63 space for clauses: 9576084
% 51.20/51.63
% 51.20/51.63
% 51.20/51.63 clauses generated: 208264
% 51.20/51.63 clauses kept: 122249
% 51.20/51.63 clauses selected: 34802
% 51.20/51.63 clauses deleted: 5744
% 51.20/51.63 clauses inuse deleted: 25
% 51.20/51.63
% 51.20/51.63 subsentry: 94865
% 51.20/51.63 literals s-matched: 94844
% 51.20/51.63 literals matched: 94844
% 51.20/51.63 full subsumption: 0
% 51.20/51.63
% 51.20/51.63 checksum: -768815531
% 51.20/51.63
% 51.20/51.63
% 51.20/51.63 Bliksem ended
%------------------------------------------------------------------------------