TSTP Solution File: LCL222-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL222-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.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 69.99s 70.39s
% Output : Refutation 69.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : LCL222-1 : TPTP v8.1.0. Released v1.1.0.
% 0.08/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n021.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 : Mon Jul 4 14:49:32 EDT 2022
% 0.12/0.34 % CPUTime :
% 13.64/14.07 *** allocated 10000 integers for termspace/termends
% 13.64/14.07 *** allocated 10000 integers for clauses
% 13.64/14.07 *** allocated 10000 integers for justifications
% 13.64/14.07 Bliksem 1.12
% 13.64/14.07
% 13.64/14.07
% 13.64/14.07 Automatic Strategy Selection
% 13.64/14.07
% 13.64/14.07 Clauses:
% 13.64/14.07 [
% 13.64/14.07 [ axiom( or( not( or( X, X ) ), X ) ) ],
% 13.64/14.07 [ axiom( or( not( X ), or( Y, X ) ) ) ],
% 13.64/14.07 [ axiom( or( not( or( X, Y ) ), or( Y, X ) ) ) ],
% 13.64/14.07 [ axiom( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z ) ) ) ) ],
% 13.64/14.07 [ axiom( or( not( or( not( X ), Y ) ), or( not( or( Z, X ) ), or( Z, Y )
% 13.64/14.07 ) ) ) ],
% 13.64/14.07 [ theorem( X ), ~( axiom( X ) ) ],
% 13.64/14.07 [ theorem( X ), ~( axiom( or( not( Y ), X ) ) ), ~( theorem( Y ) ) ]
% 13.64/14.07 ,
% 13.64/14.07 [ theorem( or( not( X ), Y ) ), ~( axiom( or( not( X ), Z ) ) ), ~(
% 13.64/14.07 theorem( or( not( Z ), Y ) ) ) ],
% 13.64/14.07 [ ~( theorem( or( not( or( not( q ), p ) ), or( not( or( or( p, q ), r )
% 13.64/14.07 ), or( p, r ) ) ) ) ) ]
% 13.64/14.07 ] .
% 13.64/14.07
% 13.64/14.07
% 13.64/14.07 percentage equality = 0.000000, percentage horn = 1.000000
% 13.64/14.07 This is a near-Horn, non-equality problem
% 13.64/14.07
% 13.64/14.07
% 13.64/14.07 Options Used:
% 13.64/14.07
% 13.64/14.07 useres = 1
% 13.64/14.07 useparamod = 0
% 13.64/14.07 useeqrefl = 0
% 13.64/14.07 useeqfact = 0
% 13.64/14.07 usefactor = 1
% 13.64/14.07 usesimpsplitting = 0
% 13.64/14.07 usesimpdemod = 0
% 13.64/14.07 usesimpres = 4
% 13.64/14.07
% 13.64/14.07 resimpinuse = 1000
% 13.64/14.07 resimpclauses = 20000
% 13.64/14.07 substype = standard
% 13.64/14.07 backwardsubs = 1
% 13.64/14.07 selectoldest = 5
% 13.64/14.07
% 13.64/14.07 litorderings [0] = split
% 13.64/14.07 litorderings [1] = liftord
% 13.64/14.07
% 13.64/14.07 termordering = none
% 13.64/14.07
% 13.64/14.07 litapriori = 1
% 13.64/14.07 termapriori = 0
% 13.64/14.07 litaposteriori = 0
% 13.64/14.07 termaposteriori = 0
% 13.64/14.07 demodaposteriori = 0
% 13.64/14.07 ordereqreflfact = 0
% 13.64/14.07
% 13.64/14.07 litselect = negative
% 13.64/14.07
% 13.64/14.07 maxweight = 30000
% 13.64/14.07 maxdepth = 30000
% 13.64/14.07 maxlength = 115
% 13.64/14.07 maxnrvars = 195
% 13.64/14.07 excuselevel = 0
% 13.64/14.07 increasemaxweight = 0
% 13.64/14.07
% 13.64/14.07 maxselected = 10000000
% 13.64/14.07 maxnrclauses = 10000000
% 13.64/14.07
% 13.64/14.07 showgenerated = 0
% 13.64/14.07 showkept = 0
% 13.64/14.07 showselected = 0
% 13.64/14.07 showdeleted = 0
% 13.64/14.07 showresimp = 1
% 13.64/14.07 showstatus = 2000
% 13.64/14.07
% 13.64/14.07 prologoutput = 1
% 13.64/14.07 nrgoals = 5000000
% 13.64/14.07 totalproof = 1
% 13.64/14.07
% 13.64/14.07 Symbols occurring in the translation:
% 13.64/14.07
% 13.64/14.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 13.64/14.07 . [1, 2] (w:1, o:26, a:1, s:1, b:0),
% 13.64/14.07 ! [4, 1] (w:1, o:18, a:1, s:1, b:0),
% 13.64/14.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 13.64/14.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 13.64/14.07 or [40, 2] (w:1, o:51, a:1, s:1, b:0),
% 13.64/14.07 not [41, 1] (w:1, o:23, a:1, s:1, b:0),
% 13.64/14.07 axiom [42, 1] (w:1, o:24, a:1, s:1, b:0),
% 13.64/14.07 theorem [46, 1] (w:1, o:25, a:1, s:1, b:0),
% 13.64/14.07 q [49, 0] (w:1, o:16, a:1, s:1, b:0),
% 13.64/14.07 p [50, 0] (w:1, o:15, a:1, s:1, b:0),
% 13.64/14.07 r [51, 0] (w:1, o:17, a:1, s:1, b:0).
% 13.64/14.07
% 13.64/14.07
% 13.64/14.07 Starting Search:
% 13.64/14.07
% 13.64/14.07 Resimplifying inuse:
% 13.64/14.07 Done
% 13.64/14.07
% 13.64/14.07
% 13.64/14.07 Intermediate Status:
% 13.64/14.07 Generated: 3552
% 13.64/14.07 Kept: 2003
% 13.64/14.07 Inuse: 579
% 13.64/14.07 Deleted: 7
% 13.64/14.07 Deletedinuse: 0
% 13.64/14.07
% 13.64/14.07 Resimplifying inuse:
% 13.64/14.07 Done
% 13.64/14.07
% 13.64/14.07 Resimplifying inuse:
% 13.64/14.07 Done
% 13.64/14.07
% 13.64/14.07
% 13.64/14.07 Intermediate Status:
% 13.64/14.07 Generated: 7011
% 13.64/14.07 Kept: 4004
% 13.64/14.07 Inuse: 1159
% 13.64/14.07 Deleted: 22
% 13.64/14.07 Deletedinuse: 0
% 13.64/14.07
% 13.64/14.07 Resimplifying inuse:
% 13.64/14.07 Done
% 13.64/14.07
% 13.64/14.07 Resimplifying inuse:
% 13.64/14.07 Done
% 13.64/14.07
% 13.64/14.07
% 13.64/14.07 Intermediate Status:
% 13.64/14.07 Generated: 10535
% 13.64/14.07 Kept: 6005
% 13.64/14.07 Inuse: 1749
% 13.64/14.07 Deleted: 36
% 13.64/14.07 Deletedinuse: 0
% 13.64/14.07
% 13.64/14.07 Resimplifying inuse:
% 13.64/14.07 Done
% 13.64/14.07
% 13.64/14.07 Resimplifying inuse:
% 13.64/14.07 Done
% 13.64/14.07
% 13.64/14.07
% 13.64/14.07 Intermediate Status:
% 13.64/14.07 Generated: 13970
% 13.64/14.07 Kept: 8008
% 13.64/14.07 Inuse: 2286
% 13.64/14.07 Deleted: 54
% 13.64/14.07 Deletedinuse: 0
% 13.64/14.07
% 13.64/14.07 Resimplifying inuse:
% 13.64/14.07 Done
% 13.64/14.07
% 13.64/14.07 Resimplifying inuse:
% 13.64/14.07 Done
% 13.64/14.07
% 13.64/14.07
% 13.64/14.07 Intermediate Status:
% 13.64/14.07 Generated: 17352
% 13.64/14.07 Kept: 10008
% 13.64/14.07 Inuse: 2812
% 13.64/14.07 Deleted: 63
% 13.64/14.07 Deletedinuse: 0
% 13.64/14.07
% 13.64/14.07 Resimplifying inuse:
% 13.64/14.07 Done
% 13.64/14.07
% 13.64/14.07 Resimplifying inuse:
% 13.64/14.07 Done
% 13.64/14.07
% 13.64/14.07
% 13.64/14.07 Intermediate Status:
% 13.64/14.07 Generated: 20537
% 13.64/14.07 Kept: 12010
% 13.64/14.07 Inuse: 3393
% 13.64/14.07 Deleted: 83
% 13.64/14.07 Deletedinuse: 0
% 13.64/14.07
% 13.64/14.07 Resimplifying inuse:
% 13.64/14.07 Done
% 13.64/14.07
% 13.64/14.07 Resimplifying inuse:
% 13.64/14.07 Done
% 13.64/14.07
% 13.64/14.07
% 13.64/14.07 Intermediate Status:
% 13.64/14.07 Generated: 24245
% 13.64/14.07 Kept: 14010
% 13.64/14.07 Inuse: 4013
% 13.64/14.07 Deleted: 89
% 13.64/14.07 Deletedinuse: 0
% 13.64/14.07
% 13.64/14.07 Resimplifying inuse:
% 13.64/14.07 Done
% 13.64/14.07
% 13.64/14.07 Resimplifying inuse:
% 13.64/14.07 Done
% 13.64/14.07
% 13.64/14.07
% 13.64/14.07 Intermediate Status:
% 13.64/14.07 Generated: 27742
% 13.64/14.07 Kept: 16011
% 13.64/14.07 Inuse: 4575
% 13.64/14.07 Deleted: 95
% 13.64/14.07 Deletedinuse: 0
% 13.64/14.07
% 13.64/14.07 Resimplifying inuse:
% 13.64/14.07 Done
% 13.64/14.07
% 13.64/14.07 Resimplifying inuse:
% 13.64/14.07 Done
% 13.64/14.07
% 13.64/14.07
% 13.64/14.07 Intermediate Status:
% 13.64/14.07 Generated: 31389
% 13.64/14.07 Kept: 18016
% 13.64/14.07 Inuse: 5173
% 13.64/14.07 Deleted: 107
% 13.64/14.07 Deletedinuse: 0
% 13.64/14.07
% 13.64/14.07 Resimplifying inuse:
% 13.64/14.07 Done
% 13.64/14.07
% 13.64/14.07 Resimplifying inuse:
% 13.64/14.07 Done
% 13.64/14.07
% 13.64/14.07 Resimplifying clauses:
% 13.64/14.07 Done
% 13.64/14.07
% 13.64/14.07
% 13.64/14.07 Intermediate Status:
% 53.96/54.42 Generated: 35129
% 53.96/54.42 Kept: 20020
% 53.96/54.42 Inuse: 5808
% 53.96/54.42 Deleted: 1058
% 53.96/54.42 Deletedinuse: 0
% 53.96/54.42
% 53.96/54.42 Resimplifying inuse:
% 53.96/54.42 Done
% 53.96/54.42
% 53.96/54.42 Resimplifying inuse:
% 53.96/54.42 Done
% 53.96/54.42
% 53.96/54.42
% 53.96/54.42 Intermediate Status:
% 53.96/54.42 Generated: 38407
% 53.96/54.42 Kept: 22020
% 53.96/54.42 Inuse: 6379
% 53.96/54.42 Deleted: 1058
% 53.96/54.42 Deletedinuse: 0
% 53.96/54.42
% 53.96/54.42 Resimplifying inuse:
% 53.96/54.42 Done
% 53.96/54.42
% 53.96/54.42 Resimplifying inuse:
% 53.96/54.42 Done
% 53.96/54.42
% 53.96/54.42
% 53.96/54.42 Intermediate Status:
% 53.96/54.42 Generated: 41584
% 53.96/54.42 Kept: 24023
% 53.96/54.42 Inuse: 6938
% 53.96/54.42 Deleted: 1058
% 53.96/54.42 Deletedinuse: 0
% 53.96/54.42
% 53.96/54.42 Resimplifying inuse:
% 53.96/54.42 Done
% 53.96/54.42
% 53.96/54.42 Resimplifying inuse:
% 53.96/54.42 Done
% 53.96/54.42
% 53.96/54.42
% 53.96/54.42 Intermediate Status:
% 53.96/54.42 Generated: 44451
% 53.96/54.42 Kept: 26028
% 53.96/54.42 Inuse: 7447
% 53.96/54.42 Deleted: 1058
% 53.96/54.42 Deletedinuse: 0
% 53.96/54.42
% 53.96/54.42 Resimplifying inuse:
% 53.96/54.42 Done
% 53.96/54.42
% 53.96/54.42 Resimplifying inuse:
% 53.96/54.42 Done
% 53.96/54.42
% 53.96/54.42
% 53.96/54.42 Intermediate Status:
% 53.96/54.42 Generated: 47635
% 53.96/54.42 Kept: 28030
% 53.96/54.42 Inuse: 7999
% 53.96/54.42 Deleted: 1058
% 53.96/54.42 Deletedinuse: 0
% 53.96/54.42
% 53.96/54.42 Resimplifying inuse:
% 53.96/54.42 Done
% 53.96/54.42
% 53.96/54.42 Resimplifying inuse:
% 53.96/54.42 Done
% 53.96/54.42
% 53.96/54.42
% 53.96/54.42 Intermediate Status:
% 53.96/54.42 Generated: 50657
% 53.96/54.42 Kept: 30031
% 53.96/54.42 Inuse: 8517
% 53.96/54.42 Deleted: 1058
% 53.96/54.42 Deletedinuse: 0
% 53.96/54.42
% 53.96/54.42 Resimplifying inuse:
% 53.96/54.42 Done
% 53.96/54.42
% 53.96/54.42 Resimplifying inuse:
% 53.96/54.42 Done
% 53.96/54.42
% 53.96/54.42
% 53.96/54.42 Intermediate Status:
% 53.96/54.42 Generated: 54128
% 53.96/54.42 Kept: 32033
% 53.96/54.42 Inuse: 9110
% 53.96/54.42 Deleted: 1058
% 53.96/54.42 Deletedinuse: 0
% 53.96/54.42
% 53.96/54.42 Resimplifying inuse:
% 53.96/54.42 Done
% 53.96/54.42
% 53.96/54.42 Resimplifying inuse:
% 53.96/54.42 Done
% 53.96/54.42
% 53.96/54.42
% 53.96/54.42 Intermediate Status:
% 53.96/54.42 Generated: 58048
% 53.96/54.42 Kept: 34033
% 53.96/54.42 Inuse: 9785
% 53.96/54.42 Deleted: 1058
% 53.96/54.42 Deletedinuse: 0
% 53.96/54.42
% 53.96/54.42 Resimplifying inuse:
% 53.96/54.42 Done
% 53.96/54.42
% 53.96/54.42 Resimplifying inuse:
% 53.96/54.42 Done
% 53.96/54.42
% 53.96/54.42
% 53.96/54.42 Intermediate Status:
% 53.96/54.42 Generated: 62120
% 53.96/54.42 Kept: 36035
% 53.96/54.42 Inuse: 10440
% 53.96/54.42 Deleted: 1058
% 53.96/54.42 Deletedinuse: 0
% 53.96/54.42
% 53.96/54.42 Resimplifying inuse:
% 53.96/54.42 Done
% 53.96/54.42
% 53.96/54.42 Resimplifying inuse:
% 53.96/54.42 Done
% 53.96/54.42
% 53.96/54.42
% 53.96/54.42 Intermediate Status:
% 53.96/54.42 Generated: 66132
% 53.96/54.42 Kept: 38035
% 53.96/54.42 Inuse: 11057
% 53.96/54.42 Deleted: 1058
% 53.96/54.42 Deletedinuse: 0
% 53.96/54.42
% 53.96/54.42 Resimplifying inuse:
% 53.96/54.42 Done
% 53.96/54.42
% 53.96/54.42 Resimplifying inuse:
% 53.96/54.42 Done
% 53.96/54.42
% 53.96/54.42 Resimplifying clauses:
% 53.96/54.42 Done
% 53.96/54.42
% 53.96/54.42
% 53.96/54.42 Intermediate Status:
% 53.96/54.42 Generated: 69628
% 53.96/54.42 Kept: 40036
% 53.96/54.42 Inuse: 11653
% 53.96/54.42 Deleted: 2092
% 53.96/54.42 Deletedinuse: 24
% 53.96/54.42
% 53.96/54.42 Resimplifying inuse:
% 53.96/54.42 Done
% 53.96/54.42
% 53.96/54.42 Resimplifying inuse:
% 53.96/54.42 Done
% 53.96/54.42
% 53.96/54.42
% 53.96/54.42 Intermediate Status:
% 53.96/54.42 Generated: 72662
% 53.96/54.42 Kept: 42038
% 53.96/54.42 Inuse: 12203
% 53.96/54.42 Deleted: 2092
% 53.96/54.42 Deletedinuse: 24
% 53.96/54.42
% 53.96/54.42 Resimplifying inuse:
% 53.96/54.42 Done
% 53.96/54.42
% 53.96/54.42 Resimplifying inuse:
% 53.96/54.42 Done
% 53.96/54.42
% 53.96/54.42
% 53.96/54.42 Intermediate Status:
% 53.96/54.42 Generated: 76686
% 53.96/54.42 Kept: 44039
% 53.96/54.42 Inuse: 12847
% 53.96/54.42 Deleted: 2092
% 53.96/54.42 Deletedinuse: 24
% 53.96/54.42
% 53.96/54.42 Resimplifying inuse:
% 53.96/54.42 Done
% 53.96/54.42
% 53.96/54.42 Resimplifying inuse:
% 53.96/54.42 Done
% 53.96/54.42
% 53.96/54.42
% 53.96/54.42 Intermediate Status:
% 53.96/54.42 Generated: 80859
% 53.96/54.42 Kept: 46040
% 53.96/54.42 Inuse: 13497
% 53.96/54.42 Deleted: 2092
% 53.96/54.42 Deletedinuse: 24
% 53.96/54.42
% 53.96/54.42 Resimplifying inuse:
% 53.96/54.42 Done
% 53.96/54.42
% 53.96/54.42 Resimplifying inuse:
% 53.96/54.42 Done
% 53.96/54.42
% 53.96/54.42
% 53.96/54.42 Intermediate Status:
% 53.96/54.42 Generated: 83891
% 53.96/54.42 Kept: 48040
% 53.96/54.42 Inuse: 13996
% 53.96/54.42 Deleted: 2092
% 53.96/54.42 Deletedinuse: 24
% 53.96/54.42
% 53.96/54.42 Resimplifying inuse:
% 53.96/54.42 Done
% 53.96/54.42
% 53.96/54.42 Resimplifying inuse:
% 53.96/54.42 Done
% 53.96/54.42
% 53.96/54.42
% 53.96/54.42 Intermediate Status:
% 53.96/54.42 Generated: 86825
% 53.96/54.42 Kept: 50040
% 53.96/54.42 Inuse: 14495
% 53.96/54.42 Deleted: 2092
% 53.96/54.42 Deletedinuse: 24
% 53.96/54.42
% 53.96/54.42 Resimplifying inuse:
% 53.96/54.42 Done
% 53.96/54.42
% 53.96/54.42 Resimplifying inuse:
% 53.96/54.42 Done
% 53.96/54.42
% 53.96/54.42
% 53.96/54.42 Intermediate Status:
% 53.96/54.42 Generated: 90235
% 53.96/54.42 Kept: 52045
% 53.96/54.42 Inuse: 15051
% 53.96/54.42 Deleted: 2092
% 53.96/54.42 Deletedinuse: 24
% 53.96/54.42
% 53.96/54.42 Resimplifying inuse:
% 53.96/54.42 Done
% 53.96/54.42
% 53.96/54.42 Resimplifying inuse:
% 53.96/54.42 Done
% 53.96/54.42
% 53.96/54.42
% 53.96/54.42 Intermediate Status:
% 53.96/54.42 Generated: 93069
% 53.96/54.42 Kept: 54045
% 53.96/54.42 Inuse: 15516
% 53.96/54.42 Deleted: 2092
% 53.96/54.42 Deletedinuse: 24
% 53.96/54.42
% 53.96/54.42 Resimplifying inuse:
% 53.96/54.42 Done
% 53.96/54.42
% 53.96/54.42 Resimplifying inuse:
% 53.96/54.42 Done
% 53.96/54.42
% 53.96/54.42
% 53.96/54.42 Intermediate Status:
% 53.96/54.42 Generated: 97023
% 53.96/54.42 Kept: 56050
% 53.96/54.42 Inuse: 16083
% 53.96/54.42 Deleted: 2092
% 53.96/54.42 Deletedinuse: 24
% 53.96/54.42
% 53.96/54.42 Resimplifying inuse:
% 53.96/54.42 Done
% 53.96/54.42
% 53.96/54.42 Resimplifying inuse:
% 53.96/54.42 Done
% 53.96/54.42
% 53.96/54.42
% 53.96/54.42 Intermediate Status:
% 53.96/54.42 Generated: 100983
% 53.96/54.42 Kept: 58050
% 53.96/54.42 Inuse: 16673
% 53.96/54.42 Deleted: 2092
% 53.96/54.42 Deletedinuse: 24
% 53.96/54.42
% 53.96/54.42 Resimplifying inuse:
% 53.96/54.42 Done
% 53.96/54.42
% 53.96/54.42 Resimplifying inuse:
% 53.96/54.42 Done
% 53.96/54.42
% 53.96/54.42 Resimplifying clauses:
% 53.96/54.42 Done
% 53.96/54.42
% 53.96/54.42
% 53.96/54.42 Intermediate Status:
% 53.96/54.42 Generated: 104403
% 53.96/54.42 Kept: 60055
% 53.96/54.42 Inuse: 17188
% 53.96/54.42 Deleted: 3183
% 53.96/54.42 Deletedinuse: 24
% 53.96/54.42
% 53.96/54.42 Resimplifying inuse:
% 53.96/54.42 Done
% 53.96/54.42
% 53.96/54.42 Resimplifying inuse:
% 53.96/54.42 Done
% 53.96/54.42
% 53.96/54.42
% 53.96/54.42 Intermediate Status:
% 53.96/54.42 Generated: 107568
% 53.96/54.42 Kept: 62062
% 53.96/54.42 Inuse: 17700
% 53.96/54.42 Deleted: 3183
% 53.96/54.42 Deletedinuse: 24
% 53.96/54.42
% 53.96/54.42 Resimplifying inuse:
% 53.96/54.42 Done
% 53.96/54.42
% 53.96/54.42 Resimplifying inuse:
% 53.96/54.42 Done
% 53.96/54.42
% 53.96/54.42
% 53.96/54.42 Intermediate Status:
% 53.96/54.42 Generated: 111127
% 53.96/54.42 Kept: 64064
% 53.96/54.42 Inuse: 18250
% 53.96/54.42 Deleted: 3183
% 53.96/54.42 Deletedinuse: 24
% 53.96/54.42
% 53.96/54.42 Resimplifying inuse:
% 53.96/54.42 Done
% 53.96/54.42
% 53.96/54.42 Resimplifying inuse:
% 53.96/54.42 Done
% 53.96/54.42
% 53.96/54.42
% 53.96/54.42 Intermediate Status:
% 53.96/54.42 Generated: 114570
% 53.96/54.42 Kept: 66067
% 53.96/54.42 Inuse: 18760
% 53.96/54.42 Deleted: 3183
% 69.99/70.39 Deletedinuse: 24
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39
% 69.99/70.39 Intermediate Status:
% 69.99/70.39 Generated: 117869
% 69.99/70.39 Kept: 68068
% 69.99/70.39 Inuse: 19258
% 69.99/70.39 Deleted: 3183
% 69.99/70.39 Deletedinuse: 24
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39
% 69.99/70.39 Intermediate Status:
% 69.99/70.39 Generated: 121114
% 69.99/70.39 Kept: 70068
% 69.99/70.39 Inuse: 19812
% 69.99/70.39 Deleted: 3183
% 69.99/70.39 Deletedinuse: 24
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39
% 69.99/70.39 Intermediate Status:
% 69.99/70.39 Generated: 124426
% 69.99/70.39 Kept: 72075
% 69.99/70.39 Inuse: 20344
% 69.99/70.39 Deleted: 3183
% 69.99/70.39 Deletedinuse: 24
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39
% 69.99/70.39 Intermediate Status:
% 69.99/70.39 Generated: 127125
% 69.99/70.39 Kept: 74075
% 69.99/70.39 Inuse: 20848
% 69.99/70.39 Deleted: 3183
% 69.99/70.39 Deletedinuse: 24
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39
% 69.99/70.39 Intermediate Status:
% 69.99/70.39 Generated: 130821
% 69.99/70.39 Kept: 76075
% 69.99/70.39 Inuse: 21487
% 69.99/70.39 Deleted: 3183
% 69.99/70.39 Deletedinuse: 24
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39
% 69.99/70.39 Intermediate Status:
% 69.99/70.39 Generated: 134681
% 69.99/70.39 Kept: 78075
% 69.99/70.39 Inuse: 22141
% 69.99/70.39 Deleted: 3183
% 69.99/70.39 Deletedinuse: 24
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39 Resimplifying clauses:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39
% 69.99/70.39 Intermediate Status:
% 69.99/70.39 Generated: 138291
% 69.99/70.39 Kept: 80082
% 69.99/70.39 Inuse: 22743
% 69.99/70.39 Deleted: 4122
% 69.99/70.39 Deletedinuse: 24
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39
% 69.99/70.39 Intermediate Status:
% 69.99/70.39 Generated: 142087
% 69.99/70.39 Kept: 82084
% 69.99/70.39 Inuse: 23373
% 69.99/70.39 Deleted: 4122
% 69.99/70.39 Deletedinuse: 24
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39
% 69.99/70.39 Intermediate Status:
% 69.99/70.39 Generated: 145508
% 69.99/70.39 Kept: 84084
% 69.99/70.39 Inuse: 23943
% 69.99/70.39 Deleted: 4122
% 69.99/70.39 Deletedinuse: 24
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39
% 69.99/70.39 Intermediate Status:
% 69.99/70.39 Generated: 148887
% 69.99/70.39 Kept: 86089
% 69.99/70.39 Inuse: 24503
% 69.99/70.39 Deleted: 4122
% 69.99/70.39 Deletedinuse: 24
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39
% 69.99/70.39 Intermediate Status:
% 69.99/70.39 Generated: 152363
% 69.99/70.39 Kept: 88089
% 69.99/70.39 Inuse: 25092
% 69.99/70.39 Deleted: 4122
% 69.99/70.39 Deletedinuse: 24
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39
% 69.99/70.39 Intermediate Status:
% 69.99/70.39 Generated: 155461
% 69.99/70.39 Kept: 90091
% 69.99/70.39 Inuse: 25619
% 69.99/70.39 Deleted: 4122
% 69.99/70.39 Deletedinuse: 24
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39
% 69.99/70.39 Intermediate Status:
% 69.99/70.39 Generated: 158290
% 69.99/70.39 Kept: 92091
% 69.99/70.39 Inuse: 26095
% 69.99/70.39 Deleted: 4122
% 69.99/70.39 Deletedinuse: 24
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39
% 69.99/70.39 Intermediate Status:
% 69.99/70.39 Generated: 161534
% 69.99/70.39 Kept: 94091
% 69.99/70.39 Inuse: 26650
% 69.99/70.39 Deleted: 4122
% 69.99/70.39 Deletedinuse: 24
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39
% 69.99/70.39 Intermediate Status:
% 69.99/70.39 Generated: 165517
% 69.99/70.39 Kept: 96094
% 69.99/70.39 Inuse: 27308
% 69.99/70.39 Deleted: 4122
% 69.99/70.39 Deletedinuse: 24
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39
% 69.99/70.39 Intermediate Status:
% 69.99/70.39 Generated: 168777
% 69.99/70.39 Kept: 98094
% 69.99/70.39 Inuse: 27890
% 69.99/70.39 Deleted: 4122
% 69.99/70.39 Deletedinuse: 24
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39 Resimplifying clauses:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39
% 69.99/70.39 Intermediate Status:
% 69.99/70.39 Generated: 171671
% 69.99/70.39 Kept: 100095
% 69.99/70.39 Inuse: 28402
% 69.99/70.39 Deleted: 4946
% 69.99/70.39 Deletedinuse: 24
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39
% 69.99/70.39 Intermediate Status:
% 69.99/70.39 Generated: 174558
% 69.99/70.39 Kept: 102097
% 69.99/70.39 Inuse: 28918
% 69.99/70.39 Deleted: 4946
% 69.99/70.39 Deletedinuse: 24
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39
% 69.99/70.39 Intermediate Status:
% 69.99/70.39 Generated: 177689
% 69.99/70.39 Kept: 104101
% 69.99/70.39 Inuse: 29498
% 69.99/70.39 Deleted: 4946
% 69.99/70.39 Deletedinuse: 24
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39
% 69.99/70.39 Intermediate Status:
% 69.99/70.39 Generated: 180957
% 69.99/70.39 Kept: 106107
% 69.99/70.39 Inuse: 30108
% 69.99/70.39 Deleted: 4946
% 69.99/70.39 Deletedinuse: 24
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39
% 69.99/70.39 Intermediate Status:
% 69.99/70.39 Generated: 184284
% 69.99/70.39 Kept: 108110
% 69.99/70.39 Inuse: 30673
% 69.99/70.39 Deleted: 4946
% 69.99/70.39 Deletedinuse: 24
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39
% 69.99/70.39 Intermediate Status:
% 69.99/70.39 Generated: 187646
% 69.99/70.39 Kept: 110110
% 69.99/70.39 Inuse: 31260
% 69.99/70.39 Deleted: 4946
% 69.99/70.39 Deletedinuse: 24
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39
% 69.99/70.39 Intermediate Status:
% 69.99/70.39 Generated: 191035
% 69.99/70.39 Kept: 112113
% 69.99/70.39 Inuse: 31835
% 69.99/70.39 Deleted: 4946
% 69.99/70.39 Deletedinuse: 24
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39
% 69.99/70.39 Intermediate Status:
% 69.99/70.39 Generated: 194324
% 69.99/70.39 Kept: 114113
% 69.99/70.39 Inuse: 32421
% 69.99/70.39 Deleted: 4946
% 69.99/70.39 Deletedinuse: 24
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39
% 69.99/70.39 Intermediate Status:
% 69.99/70.39 Generated: 197948
% 69.99/70.39 Kept: 116116
% 69.99/70.39 Inuse: 33046
% 69.99/70.39 Deleted: 4946
% 69.99/70.39 Deletedinuse: 24
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39
% 69.99/70.39 Intermediate Status:
% 69.99/70.39 Generated: 201338
% 69.99/70.39 Kept: 118119
% 69.99/70.39 Inuse: 33611
% 69.99/70.39 Deleted: 4946
% 69.99/70.39 Deletedinuse: 24
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39 Resimplifying clauses:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39
% 69.99/70.39 Intermediate Status:
% 69.99/70.39 Generated: 204747
% 69.99/70.39 Kept: 120121
% 69.99/70.39 Inuse: 34194
% 69.99/70.39 Deleted: 5743
% 69.99/70.39 Deletedinuse: 24
% 69.99/70.39
% 69.99/70.39 Resimplifying inuse:
% 69.99/70.39 Done
% 69.99/70.39
% 69.99/70.39
% 69.99/70.39 Bliksems!, er is een bewijs:
% 69.99/70.39 % SZS status Unsatisfiable
% 69.99/70.39 % SZS output start Refutation
% 69.99/70.39
% 69.99/70.39 clause( 0, [ axiom( or( not( or( X, X ) ), X ) ) ] )
% 69.99/70.39 .
% 69.99/70.39 clause( 1, [ axiom( or( not( X ), or( Y, X ) ) ) ] )
% 69.99/70.39 .
% 69.99/70.39 clause( 2, [ axiom( or( not( or( X, Y ) ), or( Y, X ) ) ) ] )
% 69.99/70.39 .
% 69.99/70.39 clause( 3, [ axiom( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z ) ) ) )
% 69.99/70.39 ] )
% 69.99/70.39 .
% 69.99/70.39 clause( 4, [ axiom( or( not( or( not( X ), Y ) ), or( not( or( Z, X ) ), or(
% 69.99/70.39 Z, Y ) ) ) ) ] )
% 69.99/70.39 .
% 69.99/70.39 clause( 5, [ theorem( X ), ~( axiom( X ) ) ] )
% 69.99/70.39 .
% 69.99/70.39 clause( 6, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( or( not( Y ), X ) )
% 69.99/70.39 ) ] )
% 69.99/70.39 .
% 69.99/70.39 clause( 7, [ theorem( or( not( X ), Y ) ), ~( theorem( or( not( Z ), Y ) )
% 69.99/70.39 ), ~( axiom( or( not( X ), Z ) ) ) ] )
% 69.99/70.39 .
% 69.99/70.39 clause( 8, [ ~( theorem( or( not( or( not( q ), p ) ), or( not( or( or( p,
% 69.99/70.39 q ), r ) ), or( p, r ) ) ) ) ) ] )
% 69.99/70.39 .
% 69.99/70.39 clause( 11, [ theorem( or( not( or( X, Y ) ), or( Y, X ) ) ) ] )
% 69.99/70.39 .
% 69.99/70.39 clause( 18, [ theorem( or( X, or( Y, Z ) ) ), ~( theorem( or( Y, or( X, Z )
% 69.99/70.39 ) ) ) ] )
% 69.99/70.39 .
% 69.99/70.39 clause( 27, [ theorem( or( not( or( X, Y ) ), or( X, Z ) ) ), ~( theorem(
% 69.99/70.39 or( not( Y ), Z ) ) ) ] )
% 69.99/70.39 .
% 69.99/70.39 clause( 34, [ theorem( or( not( or( not( X ), Y ) ), Z ) ), ~( theorem( or(
% 69.99/70.39 not( or( not( or( T, X ) ), or( T, Y ) ) ), Z ) ) ) ] )
% 69.99/70.39 .
% 69.99/70.39 clause( 35, [ theorem( or( not( or( X, or( Y, Z ) ) ), T ) ), ~( theorem(
% 69.99/70.39 or( not( or( Y, or( X, Z ) ) ), T ) ) ) ] )
% 69.99/70.39 .
% 69.99/70.39 clause( 36, [ theorem( or( not( or( X, Y ) ), Z ) ), ~( theorem( or( not(
% 69.99/70.39 or( Y, X ) ), Z ) ) ) ] )
% 69.99/70.39 .
% 69.99/70.39 clause( 37, [ theorem( or( not( or( X, X ) ), Y ) ), ~( theorem( or( not( X
% 69.99/70.39 ), Y ) ) ) ] )
% 69.99/70.39 .
% 69.99/70.39 clause( 38, [ theorem( or( not( X ), Y ) ), ~( theorem( or( not( or( Z, X )
% 69.99/70.39 ), Y ) ) ) ] )
% 69.99/70.39 .
% 69.99/70.39 clause( 193, [ theorem( or( not( or( or( X, Y ), or( X, Y ) ) ), or( Y, X )
% 69.99/70.39 ) ) ] )
% 69.99/70.39 .
% 69.99/70.39 clause( 1939, [ theorem( or( not( or( X, or( or( X, Y ), Y ) ) ), or( Y, X
% 69.99/70.39 ) ) ) ] )
% 69.99/70.39 .
% 69.99/70.39 clause( 6467, [ theorem( or( not( or( or( X, Y ), Y ) ), or( Y, X ) ) ) ]
% 69.99/70.39 )
% 69.99/70.39 .
% 69.99/70.39 clause( 6475, [ theorem( or( not( or( X, or( Y, X ) ) ), or( X, Y ) ) ) ]
% 69.99/70.39 )
% 69.99/70.39 .
% 69.99/70.39 clause( 6482, [ theorem( or( not( or( X, or( Y, Y ) ) ), or( Y, X ) ) ) ]
% 69.99/70.39 )
% 69.99/70.39 .
% 69.99/70.39 clause( 6491, [ theorem( or( not( or( X, or( Y, or( Z, Z ) ) ) ), or( X, or(
% 69.99/70.39 Z, Y ) ) ) ) ] )
% 69.99/70.39 .
% 69.99/70.39 clause( 28474, [ theorem( or( not( or( not( X ), or( Y, Y ) ) ), or( not(
% 69.99/70.39 or( Z, X ) ), or( Y, Z ) ) ) ) ] )
% 69.99/70.39 .
% 69.99/70.39 clause( 74285, [ theorem( or( not( or( or( X, X ), not( Y ) ) ), or( not(
% 69.99/70.39 or( Z, Y ) ), or( X, Z ) ) ) ) ] )
% 69.99/70.39 .
% 69.99/70.39 clause( 74294, [ theorem( or( not( or( X, Y ) ), or( not( or( or( Z, Z ),
% 69.99/70.39 not( Y ) ) ), or( Z, X ) ) ) ) ] )
% 69.99/70.39 .
% 69.99/70.39 clause( 120935, [ theorem( or( not( or( X, Y ) ), or( not( or( or( Z, Z ),
% 69.99/70.39 not( X ) ) ), or( Z, Y ) ) ) ) ] )
% 69.99/70.39 .
% 69.99/70.39 clause( 120945, [ theorem( or( not( or( or( X, X ), not( Y ) ) ), or( not(
% 69.99/70.39 or( Y, Z ) ), or( X, Z ) ) ) ) ] )
% 69.99/70.39 .
% 69.99/70.39 clause( 120949, [ theorem( or( not( or( not( X ), or( Y, Y ) ) ), or( not(
% 69.99/70.39 or( X, Z ) ), or( Y, Z ) ) ) ) ] )
% 69.99/70.39 .
% 69.99/70.39 clause( 120962, [ theorem( or( not( or( not( X ), Y ) ), or( not( or( or( Y
% 69.99/70.39 , X ), Z ) ), or( Y, Z ) ) ) ) ] )
% 69.99/70.39 .
% 69.99/70.39 clause( 120998, [] )
% 69.99/70.39 .
% 69.99/70.39
% 69.99/70.39
% 69.99/70.39 % SZS output end Refutation
% 69.99/70.39 found a proof!
% 69.99/70.39
% 69.99/70.39 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 69.99/70.39
% 69.99/70.39 initialclauses(
% 69.99/70.39 [ clause( 121000, [ axiom( or( not( or( X, X ) ), X ) ) ] )
% 69.99/70.39 , clause( 121001, [ axiom( or( not( X ), or( Y, X ) ) ) ] )
% 69.99/70.39 , clause( 121002, [ axiom( or( not( or( X, Y ) ), or( Y, X ) ) ) ] )
% 69.99/70.39 , clause( 121003, [ axiom( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z
% 69.99/70.39 ) ) ) ) ] )
% 69.99/70.39 , clause( 121004, [ axiom( or( not( or( not( X ), Y ) ), or( not( or( Z, X
% 69.99/70.39 ) ), or( Z, Y ) ) ) ) ] )
% 69.99/70.39 , clause( 121005, [ theorem( X ), ~( axiom( X ) ) ] )
% 69.99/70.39 , clause( 121006, [ theorem( X ), ~( axiom( or( not( Y ), X ) ) ), ~(
% 69.99/70.39 theorem( Y ) ) ] )
% 69.99/70.39 , clause( 121007, [ theorem( or( not( X ), Y ) ), ~( axiom( or( not( X ), Z
% 69.99/70.39 ) ) ), ~( theorem( or( not( Z ), Y ) ) ) ] )
% 69.99/70.39 , clause( 121008, [ ~( theorem( or( not( or( not( q ), p ) ), or( not( or(
% 69.99/70.39 or( p, q ), r ) ), or( p, r ) ) ) ) ) ] )
% 69.99/70.39 ] ).
% 69.99/70.39
% 69.99/70.39
% 69.99/70.39
% 69.99/70.39 subsumption(
% 69.99/70.39 clause( 0, [ axiom( or( not( or( X, X ) ), X ) ) ] )
% 69.99/70.39 , clause( 121000, [ axiom( or( not( or( X, X ) ), X ) ) ] )
% 69.99/70.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 69.99/70.39
% 69.99/70.39
% 69.99/70.39 subsumption(
% 69.99/70.39 clause( 1, [ axiom( or( not( X ), or( Y, X ) ) ) ] )
% 69.99/70.39 , clause( 121001, [ axiom( or( not( X ), or( Y, X ) ) ) ] )
% 69.99/70.39 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 69.99/70.39 )] ) ).
% 69.99/70.39
% 69.99/70.39
% 69.99/70.39 subsumption(
% 69.99/70.39 clause( 2, [ axiom( or( not( or( X, Y ) ), or( Y, X ) ) ) ] )
% 69.99/70.39 , clause( 121002, [ axiom( or( not( or( X, Y ) ), or( Y, X ) ) ) ] )
% 69.99/70.39 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 69.99/70.39 )] ) ).
% 69.99/70.39
% 69.99/70.39
% 69.99/70.39 subsumption(
% 69.99/70.39 clause( 3, [ axiom( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z ) ) ) )
% 69.99/70.39 ] )
% 69.99/70.39 , clause( 121003, [ axiom( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z
% 69.99/70.39 ) ) ) ) ] )
% 69.99/70.39 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 69.99/70.39 permutation( 0, [ ==>( 0, 0 )] ) ).
% 69.99/70.39
% 69.99/70.39
% 69.99/70.39 subsumption(
% 69.99/70.39 clause( 4, [ axiom( or( not( or( not( X ), Y ) ), or( not( or( Z, X ) ), or(
% 69.99/70.39 Z, Y ) ) ) ) ] )
% 69.99/70.39 , clause( 121004, [ axiom( or( not( or( not( X ), Y ) ), or( not( or( Z, X
% 69.99/70.39 ) ), or( Z, Y ) ) ) ) ] )
% 69.99/70.39 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 69.99/70.39 permutation( 0, [ ==>( 0, 0 )] ) ).
% 69.99/70.39
% 69.99/70.39
% 69.99/70.39 subsumption(
% 69.99/70.39 clause( 5, [ theorem( X ), ~( axiom( X ) ) ] )
% 69.99/70.39 , clause( 121005, [ theorem( X ), ~( axiom( X ) ) ] )
% 69.99/70.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 69.99/70.39 1 )] ) ).
% 69.99/70.39
% 69.99/70.39
% 69.99/70.39 subsumption(
% 69.99/70.39 clause( 6, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( or( not( Y ), X ) )
% 69.99/70.39 ) ] )
% 69.99/70.39 , clause( 121006, [ theorem( X ), ~( axiom( or( not( Y ), X ) ) ), ~(
% 69.99/70.39 theorem( Y ) ) ] )
% 69.99/70.39 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 69.99/70.39 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 69.99/70.39
% 69.99/70.39
% 69.99/70.39 subsumption(
% 69.99/70.39 clause( 7, [ theorem( or( not( X ), Y ) ), ~( theorem( or( not( Z ), Y ) )
% 69.99/70.39 ), ~( axiom( or( not( X ), Z ) ) ) ] )
% 69.99/70.39 , clause( 121007, [ theorem( or( not( X ), Y ) ), ~( axiom( or( not( X ), Z
% 69.99/70.39 ) ) ), ~( theorem( or( not( Z ), Y ) ) ) ] )
% 69.99/70.39 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 69.99/70.39 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 69.99/70.39
% 69.99/70.39
% 69.99/70.39 subsumption(
% 69.99/70.39 clause( 8, [ ~( theorem( or( not( or( not( q ), p ) ), or( not( or( or( p,
% 69.99/70.39 q ), r ) ), or( p, r ) ) ) ) ) ] )
% 69.99/70.39 , clause( 121008, [ ~( theorem( or( not( or( not( q ), p ) ), or( not( or(
% 69.99/70.39 or( p, q ), r ) ), or( p, r ) ) ) ) ) ] )
% 69.99/70.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 69.99/70.39
% 69.99/70.39
% 69.99/70.39 resolution(
% 69.99/70.39 clause( 121009, [ theorem( or( not( or( X, Y ) ), or( Y, X ) ) ) ] )
% 69.99/70.39 , clause( 5, [ theorem( X ), ~( axiom( X ) ) ] )
% 69.99/70.39 , 1, clause( 2, [ axiom( or( not( or( X, Y ) ), or( Y, X ) ) ) ] )
% 69.99/70.39 , 0, substitution( 0, [ :=( X, or( not( or( X, Y ) ), or( Y, X ) ) )] ),
% 69.99/70.39 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 69.99/70.39
% 69.99/70.39
% 69.99/70.39 subsumption(
% 69.99/70.39 clause( 11, [ theorem( or( not( or( X, Y ) ), or( Y, X ) ) ) ] )
% 69.99/70.39 , clause( 121009, [ theorem( or( not( or( X, Y ) ), or( Y, X ) ) ) ] )
% 69.99/70.39 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 69.99/70.39 )] ) ).
% 69.99/70.39
% 69.99/70.39
% 69.99/70.39 resolution(
% 69.99/70.39 clause( 121010, [ theorem( or( X, or( Y, Z ) ) ), ~( theorem( or( Y, or( X
% 69.99/70.39 , Z ) ) ) ) ] )
% 69.99/70.39 , clause( 6, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( or( not( Y ), X )
% 69.99/70.39 ) ) ] )
% 69.99/70.39 , 2, clause( 3, [ axiom( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z )
% 69.99/70.39 ) ) ) ] )
% 69.99/70.39 , 0, substitution( 0, [ :=( X, or( X, or( Y, Z ) ) ), :=( Y, or( Y, or( X,
% 69.99/70.39 Z ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 69.99/70.39
% 69.99/70.39
% 69.99/70.39 subsumption(
% 69.99/70.39 clause( 18, [ theorem( or( X, or( Y, Z ) ) ), ~( theorem( or( Y, or( X, Z )
% 69.99/70.39 ) ) ) ] )
% 69.99/70.39 , clause( 121010, [ theorem( or( X, or( Y, Z ) ) ), ~( theorem( or( Y, or(
% 69.99/70.39 X, Z ) ) ) ) ] )
% 69.99/70.39 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 69.99/70.39 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 69.99/70.39
% 69.99/70.39
% 69.99/70.39 resolution(
% 69.99/70.39 clause( 121011, [ theorem( or( not( or( X, Y ) ), or( X, Z ) ) ), ~(
% 69.99/70.39 theorem( or( not( Y ), Z ) ) ) ] )
% 69.99/70.39 , clause( 6, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( or( not( Y ), X )
% 69.99/70.39 ) ) ] )
% 69.99/70.39 , 2, clause( 4, [ axiom( or( not( or( not( X ), Y ) ), or( not( or( Z, X )
% 69.99/70.39 ), or( Z, Y ) ) ) ) ] )
% 69.99/70.39 , 0, substitution( 0, [ :=( X, or( not( or( X, Y ) ), or( X, Z ) ) ), :=( Y
% 69.99/70.39 , or( not( Y ), Z ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=(
% 69.99/70.39 Z, X )] )).
% 69.99/70.39
% 69.99/70.39
% 69.99/70.39 subsumption(
% 69.99/70.39 clause( 27, [ theorem( or( not( or( X, Y ) ), or( X, Z ) ) ), ~( theorem(
% 69.99/70.39 or( not( Y ), Z ) ) ) ] )
% 69.99/70.39 , clause( 121011, [ theorem( or( not( or( X, Y ) ), or( X, Z ) ) ), ~(
% 69.99/70.39 theorem( or( not( Y ), Z ) ) ) ] )
% 69.99/70.39 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 69.99/70.39 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 69.99/70.39
% 69.99/70.39
% 69.99/70.39 resolution(
% 69.99/70.39 clause( 121012, [ theorem( or( not( or( not( X ), Y ) ), Z ) ), ~( theorem(
% 69.99/70.39 or( not( or( not( or( T, X ) ), or( T, Y ) ) ), Z ) ) ) ] )
% 69.99/70.39 , clause( 7, [ theorem( or( not( X ), Y ) ), ~( theorem( or( not( Z ), Y )
% 69.99/70.39 ) ), ~( axiom( or( not( X ), Z ) ) ) ] )
% 69.99/70.39 , 2, clause( 4, [ axiom( or( not( or( not( X ), Y ) ), or( not( or( Z, X )
% 69.99/70.39 ), or( Z, Y ) ) ) ) ] )
% 69.99/70.39 , 0, substitution( 0, [ :=( X, or( not( X ), Y ) ), :=( Y, Z ), :=( Z, or(
% 69.99/70.39 not( or( T, X ) ), or( T, Y ) ) )] ), substitution( 1, [ :=( X, X ), :=(
% 69.99/70.39 Y, Y ), :=( Z, T )] )).
% 69.99/70.39
% 69.99/70.39
% 69.99/70.39 subsumption(
% 69.99/70.39 clause( 34, [ theorem( or( not( or( not( X ), Y ) ), Z ) ), ~( theorem( or(
% 69.99/70.39 not( or( not( or( T, X ) ), or( T, Y ) ) ), Z ) ) ) ] )
% 69.99/70.39 , clause( 121012, [ theorem( or( not( or( not( X ), Y ) ), Z ) ), ~(
% 69.99/70.39 theorem( or( not( or( not( or( T, X ) ), or( T, Y ) ) ), Z ) ) ) ] )
% 69.99/70.39 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 69.99/70.39 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 69.99/70.39
% 69.99/70.39
% 69.99/70.39 resolution(
% 69.99/70.39 clause( 121013, [ theorem( or( not( or( X, or( Y, Z ) ) ), T ) ), ~(
% 69.99/70.39 theorem( or( not( or( Y, or( X, Z ) ) ), T ) ) ) ] )
% 69.99/70.39 , clause( 7, [ theorem( or( not( X ), Y ) ), ~( theorem( or( not( Z ), Y )
% 69.99/70.39 ) ), ~( axiom( or( not( X ), Z ) ) ) ] )
% 69.99/70.39 , 2, clause( 3, [ axiom( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z )
% 69.99/70.39 ) ) ) ] )
% 69.99/70.39 , 0, substitution( 0, [ :=( X, or( X, or( Y, Z ) ) ), :=( Y, T ), :=( Z, or(
% 69.99/70.39 Y, or( X, Z ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z
% 69.99/70.39 )] )).
% 69.99/70.39
% 69.99/70.39
% 69.99/70.39 subsumption(
% 69.99/70.39 clause( 35, [ theorem( or( not( or( X, or( Y, Z ) ) ), T ) ), ~( theorem(
% 69.99/70.39 or( not( or( Y, or( X, Z ) ) ), T ) ) ) ] )
% 69.99/70.39 , clause( 121013, [ theorem( or( not( or( X, or( Y, Z ) ) ), T ) ), ~(
% 69.99/70.39 theorem( or( not( or( Y, or( X, Z ) ) ), T ) ) ) ] )
% 69.99/70.39 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 69.99/70.39 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 69.99/70.39
% 69.99/70.39
% 69.99/70.39 resolution(
% 69.99/70.39 clause( 121014, [ theorem( or( not( or( X, Y ) ), Z ) ), ~( theorem( or(
% 69.99/70.39 not( or( Y, X ) ), Z ) ) ) ] )
% 69.99/70.39 , clause( 7, [ theorem( or( not( X ), Y ) ), ~( theorem( or( not( Z ), Y )
% 69.99/70.39 ) ), ~( axiom( or( not( X ), Z ) ) ) ] )
% 69.99/70.40 , 2, clause( 2, [ axiom( or( not( or( X, Y ) ), or( Y, X ) ) ) ] )
% 69.99/70.40 , 0, substitution( 0, [ :=( X, or( X, Y ) ), :=( Y, Z ), :=( Z, or( Y, X )
% 69.99/70.40 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 69.99/70.40
% 69.99/70.40
% 69.99/70.40 subsumption(
% 69.99/70.40 clause( 36, [ theorem( or( not( or( X, Y ) ), Z ) ), ~( theorem( or( not(
% 69.99/70.40 or( Y, X ) ), Z ) ) ) ] )
% 69.99/70.40 , clause( 121014, [ theorem( or( not( or( X, Y ) ), Z ) ), ~( theorem( or(
% 69.99/70.40 not( or( Y, X ) ), Z ) ) ) ] )
% 69.99/70.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 69.99/70.40 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 69.99/70.40
% 69.99/70.40
% 69.99/70.40 resolution(
% 69.99/70.40 clause( 121015, [ theorem( or( not( or( X, X ) ), Y ) ), ~( theorem( or(
% 69.99/70.40 not( X ), Y ) ) ) ] )
% 69.99/70.40 , clause( 7, [ theorem( or( not( X ), Y ) ), ~( theorem( or( not( Z ), Y )
% 69.99/70.40 ) ), ~( axiom( or( not( X ), Z ) ) ) ] )
% 69.99/70.40 , 2, clause( 0, [ axiom( or( not( or( X, X ) ), X ) ) ] )
% 69.99/70.40 , 0, substitution( 0, [ :=( X, or( X, X ) ), :=( Y, Y ), :=( Z, X )] ),
% 69.99/70.40 substitution( 1, [ :=( X, X )] )).
% 69.99/70.40
% 69.99/70.40
% 69.99/70.40 subsumption(
% 69.99/70.40 clause( 37, [ theorem( or( not( or( X, X ) ), Y ) ), ~( theorem( or( not( X
% 69.99/70.40 ), Y ) ) ) ] )
% 69.99/70.40 , clause( 121015, [ theorem( or( not( or( X, X ) ), Y ) ), ~( theorem( or(
% 69.99/70.40 not( X ), Y ) ) ) ] )
% 69.99/70.40 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 69.99/70.40 ), ==>( 1, 1 )] ) ).
% 69.99/70.40
% 69.99/70.40
% 69.99/70.40 resolution(
% 69.99/70.40 clause( 121016, [ theorem( or( not( X ), Y ) ), ~( theorem( or( not( or( Z
% 69.99/70.40 , X ) ), Y ) ) ) ] )
% 69.99/70.40 , clause( 7, [ theorem( or( not( X ), Y ) ), ~( theorem( or( not( Z ), Y )
% 69.99/70.40 ) ), ~( axiom( or( not( X ), Z ) ) ) ] )
% 69.99/70.40 , 2, clause( 1, [ axiom( or( not( X ), or( Y, X ) ) ) ] )
% 69.99/70.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, or( Z, X ) )] ),
% 69.99/70.40 substitution( 1, [ :=( X, X ), :=( Y, Z )] )).
% 69.99/70.40
% 69.99/70.40
% 69.99/70.40 subsumption(
% 69.99/70.40 clause( 38, [ theorem( or( not( X ), Y ) ), ~( theorem( or( not( or( Z, X )
% 69.99/70.40 ), Y ) ) ) ] )
% 69.99/70.40 , clause( 121016, [ theorem( or( not( X ), Y ) ), ~( theorem( or( not( or(
% 69.99/70.40 Z, X ) ), Y ) ) ) ] )
% 69.99/70.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 69.99/70.40 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 69.99/70.40
% 69.99/70.40
% 69.99/70.40 resolution(
% 69.99/70.40 clause( 121017, [ theorem( or( not( or( or( X, Y ), or( X, Y ) ) ), or( Y,
% 69.99/70.40 X ) ) ) ] )
% 69.99/70.40 , clause( 37, [ theorem( or( not( or( X, X ) ), Y ) ), ~( theorem( or( not(
% 69.99/70.40 X ), Y ) ) ) ] )
% 69.99/70.40 , 1, clause( 11, [ theorem( or( not( or( X, Y ) ), or( Y, X ) ) ) ] )
% 69.99/70.40 , 0, substitution( 0, [ :=( X, or( X, Y ) ), :=( Y, or( Y, X ) )] ),
% 69.99/70.40 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 69.99/70.40
% 69.99/70.40
% 69.99/70.40 subsumption(
% 69.99/70.40 clause( 193, [ theorem( or( not( or( or( X, Y ), or( X, Y ) ) ), or( Y, X )
% 69.99/70.40 ) ) ] )
% 69.99/70.40 , clause( 121017, [ theorem( or( not( or( or( X, Y ), or( X, Y ) ) ), or( Y
% 69.99/70.40 , X ) ) ) ] )
% 69.99/70.40 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 69.99/70.40 )] ) ).
% 69.99/70.40
% 69.99/70.40
% 69.99/70.40 resolution(
% 69.99/70.40 clause( 121018, [ theorem( or( not( or( X, or( or( X, Y ), Y ) ) ), or( Y,
% 69.99/70.40 X ) ) ) ] )
% 69.99/70.40 , clause( 35, [ theorem( or( not( or( X, or( Y, Z ) ) ), T ) ), ~( theorem(
% 69.99/70.40 or( not( or( Y, or( X, Z ) ) ), T ) ) ) ] )
% 69.99/70.40 , 1, clause( 193, [ theorem( or( not( or( or( X, Y ), or( X, Y ) ) ), or( Y
% 69.99/70.40 , X ) ) ) ] )
% 69.99/70.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, or( X, Y ) ), :=( Z, Y ), :=( T
% 69.99/70.40 , or( Y, X ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 69.99/70.40
% 69.99/70.40
% 69.99/70.40 subsumption(
% 69.99/70.40 clause( 1939, [ theorem( or( not( or( X, or( or( X, Y ), Y ) ) ), or( Y, X
% 69.99/70.40 ) ) ) ] )
% 69.99/70.40 , clause( 121018, [ theorem( or( not( or( X, or( or( X, Y ), Y ) ) ), or( Y
% 69.99/70.40 , X ) ) ) ] )
% 69.99/70.40 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 69.99/70.40 )] ) ).
% 69.99/70.40
% 69.99/70.40
% 69.99/70.40 resolution(
% 69.99/70.40 clause( 121019, [ theorem( or( not( or( or( X, Y ), Y ) ), or( Y, X ) ) ) ]
% 69.99/70.40 )
% 69.99/70.40 , clause( 38, [ theorem( or( not( X ), Y ) ), ~( theorem( or( not( or( Z, X
% 69.99/70.40 ) ), Y ) ) ) ] )
% 69.99/70.40 , 1, clause( 1939, [ theorem( or( not( or( X, or( or( X, Y ), Y ) ) ), or(
% 69.99/70.40 Y, X ) ) ) ] )
% 69.99/70.40 , 0, substitution( 0, [ :=( X, or( or( X, Y ), Y ) ), :=( Y, or( Y, X ) ),
% 69.99/70.40 :=( Z, X )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 69.99/70.40
% 69.99/70.40
% 69.99/70.40 subsumption(
% 69.99/70.40 clause( 6467, [ theorem( or( not( or( or( X, Y ), Y ) ), or( Y, X ) ) ) ]
% 69.99/70.40 )
% 69.99/70.40 , clause( 121019, [ theorem( or( not( or( or( X, Y ), Y ) ), or( Y, X ) ) )
% 69.99/70.40 ] )
% 69.99/70.40 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 69.99/70.40 )] ) ).
% 69.99/70.40
% 69.99/70.40
% 69.99/70.40 resolution(
% 69.99/70.40 clause( 121020, [ theorem( or( not( or( X, or( Y, X ) ) ), or( X, Y ) ) ) ]
% 69.99/70.40 )
% 69.99/70.40 , clause( 36, [ theorem( or( not( or( X, Y ) ), Z ) ), ~( theorem( or( not(
% 69.99/70.40 or( Y, X ) ), Z ) ) ) ] )
% 69.99/70.40 , 1, clause( 6467, [ theorem( or( not( or( or( X, Y ), Y ) ), or( Y, X ) )
% 69.99/70.40 ) ] )
% 69.99/70.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, or( Y, X ) ), :=( Z, or( X, Y )
% 69.99/70.40 )] ), substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 69.99/70.40
% 69.99/70.40
% 69.99/70.40 subsumption(
% 69.99/70.40 clause( 6475, [ theorem( or( not( or( X, or( Y, X ) ) ), or( X, Y ) ) ) ]
% 69.99/70.40 )
% 69.99/70.40 , clause( 121020, [ theorem( or( not( or( X, or( Y, X ) ) ), or( X, Y ) ) )
% 69.99/70.40 ] )
% 69.99/70.40 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 69.99/70.40 )] ) ).
% 69.99/70.40
% 69.99/70.40
% 69.99/70.40 resolution(
% 69.99/70.40 clause( 121021, [ theorem( or( not( or( X, or( Y, Y ) ) ), or( Y, X ) ) ) ]
% 69.99/70.40 )
% 69.99/70.40 , clause( 35, [ theorem( or( not( or( X, or( Y, Z ) ) ), T ) ), ~( theorem(
% 69.99/70.40 or( not( or( Y, or( X, Z ) ) ), T ) ) ) ] )
% 69.99/70.40 , 1, clause( 6475, [ theorem( or( not( or( X, or( Y, X ) ) ), or( X, Y ) )
% 69.99/70.40 ) ] )
% 69.99/70.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, or( Y, X
% 69.99/70.40 ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 69.99/70.40
% 69.99/70.40
% 69.99/70.40 subsumption(
% 69.99/70.40 clause( 6482, [ theorem( or( not( or( X, or( Y, Y ) ) ), or( Y, X ) ) ) ]
% 69.99/70.40 )
% 69.99/70.40 , clause( 121021, [ theorem( or( not( or( X, or( Y, Y ) ) ), or( Y, X ) ) )
% 69.99/70.40 ] )
% 69.99/70.40 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 69.99/70.40 )] ) ).
% 69.99/70.40
% 69.99/70.40
% 69.99/70.40 resolution(
% 69.99/70.40 clause( 121022, [ theorem( or( not( or( X, or( Y, or( Z, Z ) ) ) ), or( X,
% 69.99/70.40 or( Z, Y ) ) ) ) ] )
% 69.99/70.40 , clause( 27, [ theorem( or( not( or( X, Y ) ), or( X, Z ) ) ), ~( theorem(
% 69.99/70.40 or( not( Y ), Z ) ) ) ] )
% 69.99/70.40 , 1, clause( 6482, [ theorem( or( not( or( X, or( Y, Y ) ) ), or( Y, X ) )
% 69.99/70.40 ) ] )
% 69.99/70.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, or( Y, or( Z, Z ) ) ), :=( Z, or(
% 69.99/70.40 Z, Y ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z )] )).
% 69.99/70.40
% 69.99/70.40
% 69.99/70.40 subsumption(
% 69.99/70.40 clause( 6491, [ theorem( or( not( or( X, or( Y, or( Z, Z ) ) ) ), or( X, or(
% 69.99/70.40 Z, Y ) ) ) ) ] )
% 69.99/70.40 , clause( 121022, [ theorem( or( not( or( X, or( Y, or( Z, Z ) ) ) ), or( X
% 69.99/70.40 , or( Z, Y ) ) ) ) ] )
% 69.99/70.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 69.99/70.40 permutation( 0, [ ==>( 0, 0 )] ) ).
% 69.99/70.40
% 69.99/70.40
% 69.99/70.40 resolution(
% 69.99/70.40 clause( 121023, [ theorem( or( not( or( not( X ), or( Y, Y ) ) ), or( not(
% 69.99/70.40 or( Z, X ) ), or( Y, Z ) ) ) ) ] )
% 69.99/70.40 , clause( 34, [ theorem( or( not( or( not( X ), Y ) ), Z ) ), ~( theorem(
% 69.99/70.40 or( not( or( not( or( T, X ) ), or( T, Y ) ) ), Z ) ) ) ] )
% 69.99/70.40 , 1, clause( 6491, [ theorem( or( not( or( X, or( Y, or( Z, Z ) ) ) ), or(
% 69.99/70.40 X, or( Z, Y ) ) ) ) ] )
% 69.99/70.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, or( Y, Y ) ), :=( Z, or( not( or(
% 69.99/70.40 Z, X ) ), or( Y, Z ) ) ), :=( T, Z )] ), substitution( 1, [ :=( X, not(
% 69.99/70.40 or( Z, X ) ) ), :=( Y, Z ), :=( Z, Y )] )).
% 69.99/70.40
% 69.99/70.40
% 69.99/70.40 subsumption(
% 69.99/70.40 clause( 28474, [ theorem( or( not( or( not( X ), or( Y, Y ) ) ), or( not(
% 69.99/70.40 or( Z, X ) ), or( Y, Z ) ) ) ) ] )
% 69.99/70.40 , clause( 121023, [ theorem( or( not( or( not( X ), or( Y, Y ) ) ), or( not(
% 69.99/70.40 or( Z, X ) ), or( Y, Z ) ) ) ) ] )
% 69.99/70.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 69.99/70.40 permutation( 0, [ ==>( 0, 0 )] ) ).
% 69.99/70.40
% 69.99/70.40
% 69.99/70.40 resolution(
% 69.99/70.40 clause( 121024, [ theorem( or( not( or( or( X, X ), not( Y ) ) ), or( not(
% 69.99/70.40 or( Z, Y ) ), or( X, Z ) ) ) ) ] )
% 69.99/70.40 , clause( 36, [ theorem( or( not( or( X, Y ) ), Z ) ), ~( theorem( or( not(
% 69.99/70.40 or( Y, X ) ), Z ) ) ) ] )
% 69.99/70.40 , 1, clause( 28474, [ theorem( or( not( or( not( X ), or( Y, Y ) ) ), or(
% 69.99/70.40 not( or( Z, X ) ), or( Y, Z ) ) ) ) ] )
% 69.99/70.40 , 0, substitution( 0, [ :=( X, or( X, X ) ), :=( Y, not( Y ) ), :=( Z, or(
% 69.99/70.40 not( or( Z, Y ) ), or( X, Z ) ) )] ), substitution( 1, [ :=( X, Y ), :=(
% 69.99/70.40 Y, X ), :=( Z, Z )] )).
% 69.99/70.40
% 69.99/70.40
% 69.99/70.40 subsumption(
% 69.99/70.40 clause( 74285, [ theorem( or( not( or( or( X, X ), not( Y ) ) ), or( not(
% 69.99/70.40 or( Z, Y ) ), or( X, Z ) ) ) ) ] )
% 69.99/70.40 , clause( 121024, [ theorem( or( not( or( or( X, X ), not( Y ) ) ), or( not(
% 69.99/70.40 or( Z, Y ) ), or( X, Z ) ) ) ) ] )
% 69.99/70.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 69.99/70.40 permutation( 0, [ ==>( 0, 0 )] ) ).
% 69.99/70.40
% 69.99/70.40
% 69.99/70.40 resolution(
% 69.99/70.40 clause( 121025, [ theorem( or( not( or( X, Y ) ), or( not( or( or( Z, Z ),
% 69.99/70.40 not( Y ) ) ), or( Z, X ) ) ) ) ] )
% 69.99/70.40 , clause( 18, [ theorem( or( X, or( Y, Z ) ) ), ~( theorem( or( Y, or( X, Z
% 69.99/70.40 ) ) ) ) ] )
% 69.99/70.40 , 1, clause( 74285, [ theorem( or( not( or( or( X, X ), not( Y ) ) ), or(
% 69.99/70.40 not( or( Z, Y ) ), or( X, Z ) ) ) ) ] )
% 69.99/70.40 , 0, substitution( 0, [ :=( X, not( or( X, Y ) ) ), :=( Y, not( or( or( Z,
% 69.99/70.40 Z ), not( Y ) ) ) ), :=( Z, or( Z, X ) )] ), substitution( 1, [ :=( X, Z
% 69.99/70.40 ), :=( Y, Y ), :=( Z, X )] )).
% 69.99/70.40
% 69.99/70.40
% 69.99/70.40 subsumption(
% 69.99/70.40 clause( 74294, [ theorem( or( not( or( X, Y ) ), or( not( or( or( Z, Z ),
% 69.99/70.40 not( Y ) ) ), or( Z, X ) ) ) ) ] )
% 69.99/70.40 , clause( 121025, [ theorem( or( not( or( X, Y ) ), or( not( or( or( Z, Z )
% 69.99/70.40 , not( Y ) ) ), or( Z, X ) ) ) ) ] )
% 69.99/70.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 69.99/70.40 permutation( 0, [ ==>( 0, 0 )] ) ).
% 69.99/70.40
% 69.99/70.40
% 69.99/70.40 resolution(
% 69.99/70.40 clause( 121026, [ theorem( or( not( or( X, Y ) ), or( not( or( or( Z, Z ),
% 69.99/70.40 not( X ) ) ), or( Z, Y ) ) ) ) ] )
% 69.99/70.40 , clause( 36, [ theorem( or( not( or( X, Y ) ), Z ) ), ~( theorem( or( not(
% 69.99/70.40 or( Y, X ) ), Z ) ) ) ] )
% 69.99/70.40 , 1, clause( 74294, [ theorem( or( not( or( X, Y ) ), or( not( or( or( Z, Z
% 69.99/70.40 ), not( Y ) ) ), or( Z, X ) ) ) ) ] )
% 69.99/70.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, or( not( or( or( Z,
% 69.99/70.40 Z ), not( X ) ) ), or( Z, Y ) ) )] ), substitution( 1, [ :=( X, Y ), :=(
% 69.99/70.40 Y, X ), :=( Z, Z )] )).
% 69.99/70.40
% 69.99/70.40
% 69.99/70.40 subsumption(
% 69.99/70.40 clause( 120935, [ theorem( or( not( or( X, Y ) ), or( not( or( or( Z, Z ),
% 69.99/70.40 not( X ) ) ), or( Z, Y ) ) ) ) ] )
% 69.99/70.40 , clause( 121026, [ theorem( or( not( or( X, Y ) ), or( not( or( or( Z, Z )
% 69.99/70.40 , not( X ) ) ), or( Z, Y ) ) ) ) ] )
% 69.99/70.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 69.99/70.40 permutation( 0, [ ==>( 0, 0 )] ) ).
% 69.99/70.40
% 69.99/70.40
% 69.99/70.40 resolution(
% 69.99/70.40 clause( 121027, [ theorem( or( not( or( or( X, X ), not( Y ) ) ), or( not(
% 69.99/70.40 or( Y, Z ) ), or( X, Z ) ) ) ) ] )
% 69.99/70.40 , clause( 18, [ theorem( or( X, or( Y, Z ) ) ), ~( theorem( or( Y, or( X, Z
% 69.99/70.40 ) ) ) ) ] )
% 69.99/70.40 , 1, clause( 120935, [ theorem( or( not( or( X, Y ) ), or( not( or( or( Z,
% 69.99/70.40 Z ), not( X ) ) ), or( Z, Y ) ) ) ) ] )
% 69.99/70.40 , 0, substitution( 0, [ :=( X, not( or( or( X, X ), not( Y ) ) ) ), :=( Y,
% 69.99/70.40 not( or( Y, Z ) ) ), :=( Z, or( X, Z ) )] ), substitution( 1, [ :=( X, Y
% 69.99/70.40 ), :=( Y, Z ), :=( Z, X )] )).
% 69.99/70.40
% 69.99/70.40
% 69.99/70.40 subsumption(
% 69.99/70.40 clause( 120945, [ theorem( or( not( or( or( X, X ), not( Y ) ) ), or( not(
% 69.99/70.40 or( Y, Z ) ), or( X, Z ) ) ) ) ] )
% 69.99/70.40 , clause( 121027, [ theorem( or( not( or( or( X, X ), not( Y ) ) ), or( not(
% 69.99/70.40 or( Y, Z ) ), or( X, Z ) ) ) ) ] )
% 69.99/70.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 69.99/70.40 permutation( 0, [ ==>( 0, 0 )] ) ).
% 69.99/70.40
% 69.99/70.40
% 69.99/70.40 resolution(
% 69.99/70.40 clause( 121028, [ theorem( or( not( or( not( X ), or( Y, Y ) ) ), or( not(
% 69.99/70.40 or( X, Z ) ), or( Y, Z ) ) ) ) ] )
% 69.99/70.40 , clause( 36, [ theorem( or( not( or( X, Y ) ), Z ) ), ~( theorem( or( not(
% 69.99/70.40 or( Y, X ) ), Z ) ) ) ] )
% 69.99/70.40 , 1, clause( 120945, [ theorem( or( not( or( or( X, X ), not( Y ) ) ), or(
% 69.99/70.40 not( or( Y, Z ) ), or( X, Z ) ) ) ) ] )
% 69.99/70.40 , 0, substitution( 0, [ :=( X, not( X ) ), :=( Y, or( Y, Y ) ), :=( Z, or(
% 69.99/70.40 not( or( X, Z ) ), or( Y, Z ) ) )] ), substitution( 1, [ :=( X, Y ), :=(
% 69.99/70.40 Y, X ), :=( Z, Z )] )).
% 69.99/70.40
% 69.99/70.40
% 69.99/70.40 subsumption(
% 69.99/70.40 clause( 120949, [ theorem( or( not( or( not( X ), or( Y, Y ) ) ), or( not(
% 69.99/70.40 or( X, Z ) ), or( Y, Z ) ) ) ) ] )
% 69.99/70.40 , clause( 121028, [ theorem( or( not( or( not( X ), or( Y, Y ) ) ), or( not(
% 69.99/70.40 or( X, Z ) ), or( Y, Z ) ) ) ) ] )
% 69.99/70.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 69.99/70.40 permutation( 0, [ ==>( 0, 0 )] ) ).
% 69.99/70.40
% 69.99/70.40
% 69.99/70.40 resolution(
% 69.99/70.40 clause( 121029, [ theorem( or( not( or( not( X ), Y ) ), or( not( or( or( Y
% 69.99/70.40 , X ), Z ) ), or( Y, Z ) ) ) ) ] )
% 69.99/70.40 , clause( 34, [ theorem( or( not( or( not( X ), Y ) ), Z ) ), ~( theorem(
% 69.99/70.40 or( not( or( not( or( T, X ) ), or( T, Y ) ) ), Z ) ) ) ] )
% 69.99/70.40 , 1, clause( 120949, [ theorem( or( not( or( not( X ), or( Y, Y ) ) ), or(
% 69.99/70.40 not( or( X, Z ) ), or( Y, Z ) ) ) ) ] )
% 69.99/70.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, or( not( or( or( Y,
% 69.99/70.40 X ), Z ) ), or( Y, Z ) ) ), :=( T, Y )] ), substitution( 1, [ :=( X, or(
% 69.99/70.40 Y, X ) ), :=( Y, Y ), :=( Z, Z )] )).
% 69.99/70.40
% 69.99/70.40
% 69.99/70.40 subsumption(
% 69.99/70.40 clause( 120962, [ theorem( or( not( or( not( X ), Y ) ), or( not( or( or( Y
% 69.99/70.40 , X ), Z ) ), or( Y, Z ) ) ) ) ] )
% 69.99/70.40 , clause( 121029, [ theorem( or( not( or( not( X ), Y ) ), or( not( or( or(
% 69.99/70.40 Y, X ), Z ) ), or( Y, Z ) ) ) ) ] )
% 69.99/70.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 69.99/70.40 permutation( 0, [ ==>( 0, 0 )] ) ).
% 69.99/70.40
% 69.99/70.40
% 69.99/70.40 resolution(
% 69.99/70.40 clause( 121030, [] )
% 69.99/70.40 , clause( 8, [ ~( theorem( or( not( or( not( q ), p ) ), or( not( or( or( p
% 69.99/70.40 , q ), r ) ), or( p, r ) ) ) ) ) ] )
% 69.99/70.40 , 0, clause( 120962, [ theorem( or( not( or( not( X ), Y ) ), or( not( or(
% 69.99/70.40 or( Y, X ), Z ) ), or( Y, Z ) ) ) ) ] )
% 69.99/70.40 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, q ), :=( Y, p ), :=(
% 69.99/70.40 Z, r )] )).
% 69.99/70.40
% 69.99/70.40
% 69.99/70.40 subsumption(
% 69.99/70.40 clause( 120998, [] )
% 69.99/70.40 , clause( 121030, [] )
% 69.99/70.40 , substitution( 0, [] ), permutation( 0, [] ) ).
% 69.99/70.40
% 69.99/70.40
% 69.99/70.40 end.
% 69.99/70.40
% 69.99/70.40 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 69.99/70.40
% 69.99/70.40 Memory use:
% 69.99/70.40
% 69.99/70.40 space for terms: 2423544
% 69.99/70.40 space for clauses: 9478239
% 69.99/70.40
% 69.99/70.40
% 69.99/70.40 clauses generated: 206193
% 69.99/70.40 clauses kept: 120999
% 69.99/70.40 clauses selected: 34442
% 69.99/70.40 clauses deleted: 5743
% 69.99/70.40 clauses inuse deleted: 24
% 69.99/70.40
% 69.99/70.40 subsentry: 94000
% 69.99/70.40 literals s-matched: 93979
% 69.99/70.40 literals matched: 93979
% 69.99/70.40 full subsumption: 0
% 69.99/70.40
% 69.99/70.40 checksum: -1410491032
% 69.99/70.40
% 69.99/70.40
% 69.99/70.40 Bliksem ended
%------------------------------------------------------------------------------