TSTP Solution File: LCL230-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL230-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n003.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 07:52:00 EDT 2022
% Result : Unsatisfiable 8.23s 8.62s
% Output : Refutation 8.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LCL230-1 : TPTP v8.1.0. Released v1.1.0.
% 0.06/0.11 % Command : bliksem %s
% 0.11/0.32 % Computer : n003.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % DateTime : Mon Jul 4 14:37:25 EDT 2022
% 0.11/0.33 % CPUTime :
% 8.23/8.62 *** allocated 10000 integers for termspace/termends
% 8.23/8.62 *** allocated 10000 integers for clauses
% 8.23/8.62 *** allocated 10000 integers for justifications
% 8.23/8.62 Bliksem 1.12
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 Automatic Strategy Selection
% 8.23/8.62
% 8.23/8.62 Clauses:
% 8.23/8.62 [
% 8.23/8.62 [ axiom( or( not( or( X, X ) ), X ) ) ],
% 8.23/8.62 [ axiom( or( not( X ), or( Y, X ) ) ) ],
% 8.23/8.62 [ axiom( or( not( or( X, Y ) ), or( Y, X ) ) ) ],
% 8.23/8.62 [ axiom( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z ) ) ) ) ],
% 8.23/8.62 [ axiom( or( not( or( not( X ), Y ) ), or( not( or( Z, X ) ), or( Z, Y )
% 8.23/8.62 ) ) ) ],
% 8.23/8.62 [ theorem( X ), ~( axiom( X ) ) ],
% 8.23/8.62 [ theorem( X ), ~( axiom( or( not( Y ), X ) ) ), ~( theorem( Y ) ) ]
% 8.23/8.62 ,
% 8.23/8.62 [ theorem( or( not( X ), Y ) ), ~( axiom( or( not( X ), Z ) ) ), ~(
% 8.23/8.62 theorem( or( not( Z ), Y ) ) ) ],
% 8.23/8.62 [ ~( theorem( or( not( or( not( or( p, q ) ), or( p, r ) ) ), or( p, or(
% 8.23/8.62 not( q ), r ) ) ) ) ) ]
% 8.23/8.62 ] .
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 percentage equality = 0.000000, percentage horn = 1.000000
% 8.23/8.62 This is a near-Horn, non-equality problem
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 Options Used:
% 8.23/8.62
% 8.23/8.62 useres = 1
% 8.23/8.62 useparamod = 0
% 8.23/8.62 useeqrefl = 0
% 8.23/8.62 useeqfact = 0
% 8.23/8.62 usefactor = 1
% 8.23/8.62 usesimpsplitting = 0
% 8.23/8.62 usesimpdemod = 0
% 8.23/8.62 usesimpres = 4
% 8.23/8.62
% 8.23/8.62 resimpinuse = 1000
% 8.23/8.62 resimpclauses = 20000
% 8.23/8.62 substype = standard
% 8.23/8.62 backwardsubs = 1
% 8.23/8.62 selectoldest = 5
% 8.23/8.62
% 8.23/8.62 litorderings [0] = split
% 8.23/8.62 litorderings [1] = liftord
% 8.23/8.62
% 8.23/8.62 termordering = none
% 8.23/8.62
% 8.23/8.62 litapriori = 1
% 8.23/8.62 termapriori = 0
% 8.23/8.62 litaposteriori = 0
% 8.23/8.62 termaposteriori = 0
% 8.23/8.62 demodaposteriori = 0
% 8.23/8.62 ordereqreflfact = 0
% 8.23/8.62
% 8.23/8.62 litselect = negative
% 8.23/8.62
% 8.23/8.62 maxweight = 30000
% 8.23/8.62 maxdepth = 30000
% 8.23/8.62 maxlength = 115
% 8.23/8.62 maxnrvars = 195
% 8.23/8.62 excuselevel = 0
% 8.23/8.62 increasemaxweight = 0
% 8.23/8.62
% 8.23/8.62 maxselected = 10000000
% 8.23/8.62 maxnrclauses = 10000000
% 8.23/8.62
% 8.23/8.62 showgenerated = 0
% 8.23/8.62 showkept = 0
% 8.23/8.62 showselected = 0
% 8.23/8.62 showdeleted = 0
% 8.23/8.62 showresimp = 1
% 8.23/8.62 showstatus = 2000
% 8.23/8.62
% 8.23/8.62 prologoutput = 1
% 8.23/8.62 nrgoals = 5000000
% 8.23/8.62 totalproof = 1
% 8.23/8.62
% 8.23/8.62 Symbols occurring in the translation:
% 8.23/8.62
% 8.23/8.62 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 8.23/8.62 . [1, 2] (w:1, o:26, a:1, s:1, b:0),
% 8.23/8.62 ! [4, 1] (w:1, o:18, a:1, s:1, b:0),
% 8.23/8.62 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 8.23/8.62 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 8.23/8.62 or [40, 2] (w:1, o:51, a:1, s:1, b:0),
% 8.23/8.62 not [41, 1] (w:1, o:23, a:1, s:1, b:0),
% 8.23/8.62 axiom [42, 1] (w:1, o:24, a:1, s:1, b:0),
% 8.23/8.62 theorem [46, 1] (w:1, o:25, a:1, s:1, b:0),
% 8.23/8.62 p [49, 0] (w:1, o:15, a:1, s:1, b:0),
% 8.23/8.62 q [50, 0] (w:1, o:16, a:1, s:1, b:0),
% 8.23/8.62 r [51, 0] (w:1, o:17, a:1, s:1, b:0).
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 Starting Search:
% 8.23/8.62
% 8.23/8.62 Resimplifying inuse:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 Intermediate Status:
% 8.23/8.62 Generated: 3552
% 8.23/8.62 Kept: 2003
% 8.23/8.62 Inuse: 579
% 8.23/8.62 Deleted: 7
% 8.23/8.62 Deletedinuse: 0
% 8.23/8.62
% 8.23/8.62 Resimplifying inuse:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62 Resimplifying inuse:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 Intermediate Status:
% 8.23/8.62 Generated: 7011
% 8.23/8.62 Kept: 4004
% 8.23/8.62 Inuse: 1159
% 8.23/8.62 Deleted: 22
% 8.23/8.62 Deletedinuse: 0
% 8.23/8.62
% 8.23/8.62 Resimplifying inuse:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62 Resimplifying inuse:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 Intermediate Status:
% 8.23/8.62 Generated: 10535
% 8.23/8.62 Kept: 6005
% 8.23/8.62 Inuse: 1749
% 8.23/8.62 Deleted: 36
% 8.23/8.62 Deletedinuse: 0
% 8.23/8.62
% 8.23/8.62 Resimplifying inuse:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62 Resimplifying inuse:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 Intermediate Status:
% 8.23/8.62 Generated: 13970
% 8.23/8.62 Kept: 8008
% 8.23/8.62 Inuse: 2286
% 8.23/8.62 Deleted: 54
% 8.23/8.62 Deletedinuse: 0
% 8.23/8.62
% 8.23/8.62 Resimplifying inuse:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62 Resimplifying inuse:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 Intermediate Status:
% 8.23/8.62 Generated: 17352
% 8.23/8.62 Kept: 10008
% 8.23/8.62 Inuse: 2812
% 8.23/8.62 Deleted: 63
% 8.23/8.62 Deletedinuse: 0
% 8.23/8.62
% 8.23/8.62 Resimplifying inuse:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62 Resimplifying inuse:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 Intermediate Status:
% 8.23/8.62 Generated: 20537
% 8.23/8.62 Kept: 12010
% 8.23/8.62 Inuse: 3393
% 8.23/8.62 Deleted: 83
% 8.23/8.62 Deletedinuse: 0
% 8.23/8.62
% 8.23/8.62 Resimplifying inuse:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62 Resimplifying inuse:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 Intermediate Status:
% 8.23/8.62 Generated: 24245
% 8.23/8.62 Kept: 14010
% 8.23/8.62 Inuse: 4013
% 8.23/8.62 Deleted: 89
% 8.23/8.62 Deletedinuse: 0
% 8.23/8.62
% 8.23/8.62 Resimplifying inuse:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62 Resimplifying inuse:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 Intermediate Status:
% 8.23/8.62 Generated: 27742
% 8.23/8.62 Kept: 16011
% 8.23/8.62 Inuse: 4575
% 8.23/8.62 Deleted: 95
% 8.23/8.62 Deletedinuse: 0
% 8.23/8.62
% 8.23/8.62 Resimplifying inuse:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62 Resimplifying inuse:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 Intermediate Status:
% 8.23/8.62 Generated: 31389
% 8.23/8.62 Kept: 18016
% 8.23/8.62 Inuse: 5173
% 8.23/8.62 Deleted: 107
% 8.23/8.62 Deletedinuse: 0
% 8.23/8.62
% 8.23/8.62 Resimplifying inuse:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62 Resimplifying inuse:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62 Resimplifying clauses:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 Intermediate Status:
% 8.23/8.62 Generated: 35129
% 8.23/8.62 Kept: 20020
% 8.23/8.62 Inuse: 5808
% 8.23/8.62 Deleted: 1058
% 8.23/8.62 Deletedinuse: 0
% 8.23/8.62
% 8.23/8.62 Resimplifying inuse:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62 Resimplifying inuse:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 Intermediate Status:
% 8.23/8.62 Generated: 38407
% 8.23/8.62 Kept: 22020
% 8.23/8.62 Inuse: 6379
% 8.23/8.62 Deleted: 1058
% 8.23/8.62 Deletedinuse: 0
% 8.23/8.62
% 8.23/8.62 Resimplifying inuse:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62 Resimplifying inuse:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 Intermediate Status:
% 8.23/8.62 Generated: 41584
% 8.23/8.62 Kept: 24023
% 8.23/8.62 Inuse: 6938
% 8.23/8.62 Deleted: 1058
% 8.23/8.62 Deletedinuse: 0
% 8.23/8.62
% 8.23/8.62 Resimplifying inuse:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62 Resimplifying inuse:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 Intermediate Status:
% 8.23/8.62 Generated: 44451
% 8.23/8.62 Kept: 26028
% 8.23/8.62 Inuse: 7447
% 8.23/8.62 Deleted: 1058
% 8.23/8.62 Deletedinuse: 0
% 8.23/8.62
% 8.23/8.62 Resimplifying inuse:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62 Resimplifying inuse:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 Intermediate Status:
% 8.23/8.62 Generated: 47635
% 8.23/8.62 Kept: 28030
% 8.23/8.62 Inuse: 7999
% 8.23/8.62 Deleted: 1058
% 8.23/8.62 Deletedinuse: 0
% 8.23/8.62
% 8.23/8.62 Resimplifying inuse:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62 Resimplifying inuse:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 Intermediate Status:
% 8.23/8.62 Generated: 50657
% 8.23/8.62 Kept: 30031
% 8.23/8.62 Inuse: 8517
% 8.23/8.62 Deleted: 1058
% 8.23/8.62 Deletedinuse: 0
% 8.23/8.62
% 8.23/8.62 Resimplifying inuse:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62 Resimplifying inuse:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 Intermediate Status:
% 8.23/8.62 Generated: 54128
% 8.23/8.62 Kept: 32033
% 8.23/8.62 Inuse: 9110
% 8.23/8.62 Deleted: 1058
% 8.23/8.62 Deletedinuse: 0
% 8.23/8.62
% 8.23/8.62 Resimplifying inuse:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62 Resimplifying inuse:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 Intermediate Status:
% 8.23/8.62 Generated: 58048
% 8.23/8.62 Kept: 34033
% 8.23/8.62 Inuse: 9785
% 8.23/8.62 Deleted: 1058
% 8.23/8.62 Deletedinuse: 0
% 8.23/8.62
% 8.23/8.62 Resimplifying inuse:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62 Resimplifying inuse:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 Intermediate Status:
% 8.23/8.62 Generated: 62120
% 8.23/8.62 Kept: 36035
% 8.23/8.62 Inuse: 10440
% 8.23/8.62 Deleted: 1058
% 8.23/8.62 Deletedinuse: 0
% 8.23/8.62
% 8.23/8.62 Resimplifying inuse:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62 Resimplifying inuse:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 Intermediate Status:
% 8.23/8.62 Generated: 66132
% 8.23/8.62 Kept: 38035
% 8.23/8.62 Inuse: 11057
% 8.23/8.62 Deleted: 1058
% 8.23/8.62 Deletedinuse: 0
% 8.23/8.62
% 8.23/8.62 Resimplifying inuse:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62 Resimplifying inuse:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62 Resimplifying clauses:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 Intermediate Status:
% 8.23/8.62 Generated: 69628
% 8.23/8.62 Kept: 40036
% 8.23/8.62 Inuse: 11653
% 8.23/8.62 Deleted: 2092
% 8.23/8.62 Deletedinuse: 24
% 8.23/8.62
% 8.23/8.62 Resimplifying inuse:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62 Resimplifying inuse:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 Intermediate Status:
% 8.23/8.62 Generated: 72662
% 8.23/8.62 Kept: 42038
% 8.23/8.62 Inuse: 12203
% 8.23/8.62 Deleted: 2092
% 8.23/8.62 Deletedinuse: 24
% 8.23/8.62
% 8.23/8.62 Resimplifying inuse:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62 Resimplifying inuse:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 Intermediate Status:
% 8.23/8.62 Generated: 76686
% 8.23/8.62 Kept: 44039
% 8.23/8.62 Inuse: 12847
% 8.23/8.62 Deleted: 2092
% 8.23/8.62 Deletedinuse: 24
% 8.23/8.62
% 8.23/8.62 Resimplifying inuse:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62 Resimplifying inuse:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 Intermediate Status:
% 8.23/8.62 Generated: 80859
% 8.23/8.62 Kept: 46040
% 8.23/8.62 Inuse: 13497
% 8.23/8.62 Deleted: 2092
% 8.23/8.62 Deletedinuse: 24
% 8.23/8.62
% 8.23/8.62 Resimplifying inuse:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62 Resimplifying inuse:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 Intermediate Status:
% 8.23/8.62 Generated: 83891
% 8.23/8.62 Kept: 48040
% 8.23/8.62 Inuse: 13996
% 8.23/8.62 Deleted: 2092
% 8.23/8.62 Deletedinuse: 24
% 8.23/8.62
% 8.23/8.62 Resimplifying inuse:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62 Resimplifying inuse:
% 8.23/8.62 Done
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 Intermediate Status:
% 8.23/8.62 Generated: 86825
% 8.23/8.62 Kept: 50040
% 8.23/8.62 Inuse: 14495
% 8.23/8.62 Deleted: 2092
% 8.23/8.62 Deletedinuse: 24
% 8.23/8.62
% 8.23/8.62 Resimplifying inuse:
% 8.23/8.62
% 8.23/8.62 Bliksems!, er is een bewijs:
% 8.23/8.62 % SZS status Unsatisfiable
% 8.23/8.62 % SZS output start Refutation
% 8.23/8.62
% 8.23/8.62 clause( 0, [ axiom( or( not( or( X, X ) ), X ) ) ] )
% 8.23/8.62 .
% 8.23/8.62 clause( 1, [ axiom( or( not( X ), or( Y, X ) ) ) ] )
% 8.23/8.62 .
% 8.23/8.62 clause( 3, [ axiom( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z ) ) ) )
% 8.23/8.62 ] )
% 8.23/8.62 .
% 8.23/8.62 clause( 4, [ axiom( or( not( or( not( X ), Y ) ), or( not( or( Z, X ) ), or(
% 8.23/8.62 Z, Y ) ) ) ) ] )
% 8.23/8.62 .
% 8.23/8.62 clause( 5, [ theorem( X ), ~( axiom( X ) ) ] )
% 8.23/8.62 .
% 8.23/8.62 clause( 6, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( or( not( Y ), X ) )
% 8.23/8.62 ) ] )
% 8.23/8.62 .
% 8.23/8.62 clause( 7, [ theorem( or( not( X ), Y ) ), ~( theorem( or( not( Z ), Y ) )
% 8.23/8.62 ), ~( axiom( or( not( X ), Z ) ) ) ] )
% 8.23/8.62 .
% 8.23/8.62 clause( 8, [ ~( theorem( or( not( or( not( or( p, q ) ), or( p, r ) ) ), or(
% 8.23/8.62 p, or( not( q ), r ) ) ) ) ) ] )
% 8.23/8.62 .
% 8.23/8.62 clause( 9, [ theorem( or( not( X ), or( Y, X ) ) ) ] )
% 8.23/8.62 .
% 8.23/8.62 clause( 13, [ theorem( X ), ~( theorem( or( X, X ) ) ) ] )
% 8.23/8.62 .
% 8.23/8.62 clause( 18, [ theorem( or( X, or( Y, Z ) ) ), ~( theorem( or( Y, or( X, Z )
% 8.23/8.62 ) ) ) ] )
% 8.23/8.62 .
% 8.23/8.62 clause( 27, [ theorem( or( not( or( X, Y ) ), or( X, Z ) ) ), ~( theorem(
% 8.23/8.62 or( not( Y ), Z ) ) ) ] )
% 8.23/8.62 .
% 8.23/8.62 clause( 35, [ theorem( or( not( or( X, or( Y, Z ) ) ), T ) ), ~( theorem(
% 8.23/8.62 or( not( or( Y, or( X, Z ) ) ), T ) ) ) ] )
% 8.23/8.62 .
% 8.23/8.62 clause( 38, [ theorem( or( not( X ), Y ) ), ~( theorem( or( not( or( Z, X )
% 8.23/8.62 ), Y ) ) ) ] )
% 8.23/8.62 .
% 8.23/8.62 clause( 66, [ theorem( or( X, or( not( Y ), Y ) ) ) ] )
% 8.23/8.62 .
% 8.23/8.62 clause( 68, [ theorem( or( not( X ), X ) ) ] )
% 8.23/8.62 .
% 8.23/8.62 clause( 70, [ theorem( or( X, or( not( or( X, Y ) ), Y ) ) ) ] )
% 8.23/8.62 .
% 8.23/8.62 clause( 214, [ theorem( or( not( X ), or( not( or( not( or( Y, X ) ), Z ) )
% 8.23/8.62 , Z ) ) ) ] )
% 8.23/8.62 .
% 8.23/8.62 clause( 2172, [ theorem( or( not( or( not( or( X, Y ) ), Z ) ), or( not( Y
% 8.23/8.62 ), Z ) ) ) ] )
% 8.23/8.62 .
% 8.23/8.62 clause( 5501, [ theorem( or( not( or( X, or( not( or( Y, Z ) ), T ) ) ), or(
% 8.23/8.62 X, or( not( Z ), T ) ) ) ) ] )
% 8.23/8.62 .
% 8.23/8.62 clause( 49398, [ theorem( or( not( or( not( or( X, Y ) ), or( Z, T ) ) ),
% 8.23/8.62 or( Z, or( not( Y ), T ) ) ) ) ] )
% 8.23/8.62 .
% 8.23/8.62 clause( 50113, [] )
% 8.23/8.62 .
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 % SZS output end Refutation
% 8.23/8.62 found a proof!
% 8.23/8.62
% 8.23/8.62 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 8.23/8.62
% 8.23/8.62 initialclauses(
% 8.23/8.62 [ clause( 50115, [ axiom( or( not( or( X, X ) ), X ) ) ] )
% 8.23/8.62 , clause( 50116, [ axiom( or( not( X ), or( Y, X ) ) ) ] )
% 8.23/8.62 , clause( 50117, [ axiom( or( not( or( X, Y ) ), or( Y, X ) ) ) ] )
% 8.23/8.62 , clause( 50118, [ axiom( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z )
% 8.23/8.62 ) ) ) ] )
% 8.23/8.62 , clause( 50119, [ axiom( or( not( or( not( X ), Y ) ), or( not( or( Z, X )
% 8.23/8.62 ), or( Z, Y ) ) ) ) ] )
% 8.23/8.62 , clause( 50120, [ theorem( X ), ~( axiom( X ) ) ] )
% 8.23/8.62 , clause( 50121, [ theorem( X ), ~( axiom( or( not( Y ), X ) ) ), ~(
% 8.23/8.62 theorem( Y ) ) ] )
% 8.23/8.62 , clause( 50122, [ theorem( or( not( X ), Y ) ), ~( axiom( or( not( X ), Z
% 8.23/8.62 ) ) ), ~( theorem( or( not( Z ), Y ) ) ) ] )
% 8.23/8.62 , clause( 50123, [ ~( theorem( or( not( or( not( or( p, q ) ), or( p, r ) )
% 8.23/8.62 ), or( p, or( not( q ), r ) ) ) ) ) ] )
% 8.23/8.62 ] ).
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 subsumption(
% 8.23/8.62 clause( 0, [ axiom( or( not( or( X, X ) ), X ) ) ] )
% 8.23/8.62 , clause( 50115, [ axiom( or( not( or( X, X ) ), X ) ) ] )
% 8.23/8.62 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 subsumption(
% 8.23/8.62 clause( 1, [ axiom( or( not( X ), or( Y, X ) ) ) ] )
% 8.23/8.62 , clause( 50116, [ axiom( or( not( X ), or( Y, X ) ) ) ] )
% 8.23/8.62 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 8.23/8.62 )] ) ).
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 subsumption(
% 8.23/8.62 clause( 3, [ axiom( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z ) ) ) )
% 8.23/8.62 ] )
% 8.23/8.62 , clause( 50118, [ axiom( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z )
% 8.23/8.62 ) ) ) ] )
% 8.23/8.62 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 8.23/8.62 permutation( 0, [ ==>( 0, 0 )] ) ).
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 subsumption(
% 8.23/8.62 clause( 4, [ axiom( or( not( or( not( X ), Y ) ), or( not( or( Z, X ) ), or(
% 8.23/8.62 Z, Y ) ) ) ) ] )
% 8.23/8.62 , clause( 50119, [ axiom( or( not( or( not( X ), Y ) ), or( not( or( Z, X )
% 8.23/8.62 ), or( Z, Y ) ) ) ) ] )
% 8.23/8.62 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 8.23/8.62 permutation( 0, [ ==>( 0, 0 )] ) ).
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 subsumption(
% 8.23/8.62 clause( 5, [ theorem( X ), ~( axiom( X ) ) ] )
% 8.23/8.62 , clause( 50120, [ theorem( X ), ~( axiom( X ) ) ] )
% 8.23/8.62 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 8.23/8.62 1 )] ) ).
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 subsumption(
% 8.23/8.62 clause( 6, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( or( not( Y ), X ) )
% 8.23/8.62 ) ] )
% 8.23/8.62 , clause( 50121, [ theorem( X ), ~( axiom( or( not( Y ), X ) ) ), ~(
% 8.23/8.62 theorem( Y ) ) ] )
% 8.23/8.62 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 8.23/8.62 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 subsumption(
% 8.23/8.62 clause( 7, [ theorem( or( not( X ), Y ) ), ~( theorem( or( not( Z ), Y ) )
% 8.23/8.62 ), ~( axiom( or( not( X ), Z ) ) ) ] )
% 8.23/8.62 , clause( 50122, [ theorem( or( not( X ), Y ) ), ~( axiom( or( not( X ), Z
% 8.23/8.62 ) ) ), ~( theorem( or( not( Z ), Y ) ) ) ] )
% 8.23/8.62 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 8.23/8.62 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 subsumption(
% 8.23/8.62 clause( 8, [ ~( theorem( or( not( or( not( or( p, q ) ), or( p, r ) ) ), or(
% 8.23/8.62 p, or( not( q ), r ) ) ) ) ) ] )
% 8.23/8.62 , clause( 50123, [ ~( theorem( or( not( or( not( or( p, q ) ), or( p, r ) )
% 8.23/8.62 ), or( p, or( not( q ), r ) ) ) ) ) ] )
% 8.23/8.62 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 resolution(
% 8.23/8.62 clause( 50124, [ theorem( or( not( X ), or( Y, X ) ) ) ] )
% 8.23/8.62 , clause( 5, [ theorem( X ), ~( axiom( X ) ) ] )
% 8.23/8.62 , 1, clause( 1, [ axiom( or( not( X ), or( Y, X ) ) ) ] )
% 8.23/8.62 , 0, substitution( 0, [ :=( X, or( not( X ), or( Y, X ) ) )] ),
% 8.23/8.62 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 subsumption(
% 8.23/8.62 clause( 9, [ theorem( or( not( X ), or( Y, X ) ) ) ] )
% 8.23/8.62 , clause( 50124, [ theorem( or( not( X ), or( Y, X ) ) ) ] )
% 8.23/8.62 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 8.23/8.62 )] ) ).
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 resolution(
% 8.23/8.62 clause( 50125, [ theorem( X ), ~( theorem( or( X, X ) ) ) ] )
% 8.23/8.62 , clause( 6, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( or( not( Y ), X )
% 8.23/8.62 ) ) ] )
% 8.23/8.62 , 2, clause( 0, [ axiom( or( not( or( X, X ) ), X ) ) ] )
% 8.23/8.62 , 0, substitution( 0, [ :=( X, X ), :=( Y, or( X, X ) )] ), substitution( 1
% 8.23/8.62 , [ :=( X, X )] )).
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 subsumption(
% 8.23/8.62 clause( 13, [ theorem( X ), ~( theorem( or( X, X ) ) ) ] )
% 8.23/8.62 , clause( 50125, [ theorem( X ), ~( theorem( or( X, X ) ) ) ] )
% 8.23/8.62 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 8.23/8.62 1 )] ) ).
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 resolution(
% 8.23/8.62 clause( 50126, [ theorem( or( X, or( Y, Z ) ) ), ~( theorem( or( Y, or( X,
% 8.23/8.62 Z ) ) ) ) ] )
% 8.23/8.62 , clause( 6, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( or( not( Y ), X )
% 8.23/8.62 ) ) ] )
% 8.23/8.62 , 2, clause( 3, [ axiom( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z )
% 8.23/8.62 ) ) ) ] )
% 8.23/8.62 , 0, substitution( 0, [ :=( X, or( X, or( Y, Z ) ) ), :=( Y, or( Y, or( X,
% 8.23/8.62 Z ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 subsumption(
% 8.23/8.62 clause( 18, [ theorem( or( X, or( Y, Z ) ) ), ~( theorem( or( Y, or( X, Z )
% 8.23/8.62 ) ) ) ] )
% 8.23/8.62 , clause( 50126, [ theorem( or( X, or( Y, Z ) ) ), ~( theorem( or( Y, or( X
% 8.23/8.62 , Z ) ) ) ) ] )
% 8.23/8.62 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 8.23/8.62 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 resolution(
% 8.23/8.62 clause( 50127, [ theorem( or( not( or( X, Y ) ), or( X, Z ) ) ), ~( theorem(
% 8.23/8.62 or( not( Y ), Z ) ) ) ] )
% 8.23/8.62 , clause( 6, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( or( not( Y ), X )
% 8.23/8.62 ) ) ] )
% 8.23/8.62 , 2, clause( 4, [ axiom( or( not( or( not( X ), Y ) ), or( not( or( Z, X )
% 8.23/8.62 ), or( Z, Y ) ) ) ) ] )
% 8.23/8.62 , 0, substitution( 0, [ :=( X, or( not( or( X, Y ) ), or( X, Z ) ) ), :=( Y
% 8.23/8.62 , or( not( Y ), Z ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=(
% 8.23/8.62 Z, X )] )).
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 subsumption(
% 8.23/8.62 clause( 27, [ theorem( or( not( or( X, Y ) ), or( X, Z ) ) ), ~( theorem(
% 8.23/8.62 or( not( Y ), Z ) ) ) ] )
% 8.23/8.62 , clause( 50127, [ theorem( or( not( or( X, Y ) ), or( X, Z ) ) ), ~(
% 8.23/8.62 theorem( or( not( Y ), Z ) ) ) ] )
% 8.23/8.62 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 8.23/8.62 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 resolution(
% 8.23/8.62 clause( 50128, [ theorem( or( not( or( X, or( Y, Z ) ) ), T ) ), ~( theorem(
% 8.23/8.62 or( not( or( Y, or( X, Z ) ) ), T ) ) ) ] )
% 8.23/8.62 , clause( 7, [ theorem( or( not( X ), Y ) ), ~( theorem( or( not( Z ), Y )
% 8.23/8.62 ) ), ~( axiom( or( not( X ), Z ) ) ) ] )
% 8.23/8.62 , 2, clause( 3, [ axiom( or( not( or( X, or( Y, Z ) ) ), or( Y, or( X, Z )
% 8.23/8.62 ) ) ) ] )
% 8.23/8.62 , 0, substitution( 0, [ :=( X, or( X, or( Y, Z ) ) ), :=( Y, T ), :=( Z, or(
% 8.23/8.62 Y, or( X, Z ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z
% 8.23/8.62 )] )).
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 subsumption(
% 8.23/8.62 clause( 35, [ theorem( or( not( or( X, or( Y, Z ) ) ), T ) ), ~( theorem(
% 8.23/8.62 or( not( or( Y, or( X, Z ) ) ), T ) ) ) ] )
% 8.23/8.62 , clause( 50128, [ theorem( or( not( or( X, or( Y, Z ) ) ), T ) ), ~(
% 8.23/8.62 theorem( or( not( or( Y, or( X, Z ) ) ), T ) ) ) ] )
% 8.23/8.62 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 8.23/8.62 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 resolution(
% 8.23/8.62 clause( 50129, [ theorem( or( not( X ), Y ) ), ~( theorem( or( not( or( Z,
% 8.23/8.62 X ) ), Y ) ) ) ] )
% 8.23/8.62 , clause( 7, [ theorem( or( not( X ), Y ) ), ~( theorem( or( not( Z ), Y )
% 8.23/8.62 ) ), ~( axiom( or( not( X ), Z ) ) ) ] )
% 8.23/8.62 , 2, clause( 1, [ axiom( or( not( X ), or( Y, X ) ) ) ] )
% 8.23/8.62 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, or( Z, X ) )] ),
% 8.23/8.62 substitution( 1, [ :=( X, X ), :=( Y, Z )] )).
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 subsumption(
% 8.23/8.62 clause( 38, [ theorem( or( not( X ), Y ) ), ~( theorem( or( not( or( Z, X )
% 8.23/8.62 ), Y ) ) ) ] )
% 8.23/8.62 , clause( 50129, [ theorem( or( not( X ), Y ) ), ~( theorem( or( not( or( Z
% 8.23/8.62 , X ) ), Y ) ) ) ] )
% 8.23/8.62 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 8.23/8.62 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 resolution(
% 8.23/8.62 clause( 50130, [ theorem( or( X, or( not( Y ), Y ) ) ) ] )
% 8.23/8.62 , clause( 18, [ theorem( or( X, or( Y, Z ) ) ), ~( theorem( or( Y, or( X, Z
% 8.23/8.62 ) ) ) ) ] )
% 8.23/8.62 , 1, clause( 9, [ theorem( or( not( X ), or( Y, X ) ) ) ] )
% 8.23/8.62 , 0, substitution( 0, [ :=( X, X ), :=( Y, not( Y ) ), :=( Z, Y )] ),
% 8.23/8.62 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 subsumption(
% 8.23/8.62 clause( 66, [ theorem( or( X, or( not( Y ), Y ) ) ) ] )
% 8.23/8.62 , clause( 50130, [ theorem( or( X, or( not( Y ), Y ) ) ) ] )
% 8.23/8.62 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 8.23/8.62 )] ) ).
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 resolution(
% 8.23/8.62 clause( 50131, [ theorem( or( not( X ), X ) ) ] )
% 8.23/8.62 , clause( 13, [ theorem( X ), ~( theorem( or( X, X ) ) ) ] )
% 8.23/8.62 , 1, clause( 66, [ theorem( or( X, or( not( Y ), Y ) ) ) ] )
% 8.23/8.62 , 0, substitution( 0, [ :=( X, or( not( X ), X ) )] ), substitution( 1, [
% 8.23/8.62 :=( X, or( not( X ), X ) ), :=( Y, X )] )).
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 subsumption(
% 8.23/8.62 clause( 68, [ theorem( or( not( X ), X ) ) ] )
% 8.23/8.62 , clause( 50131, [ theorem( or( not( X ), X ) ) ] )
% 8.23/8.62 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 resolution(
% 8.23/8.62 clause( 50132, [ theorem( or( X, or( not( or( X, Y ) ), Y ) ) ) ] )
% 8.23/8.62 , clause( 18, [ theorem( or( X, or( Y, Z ) ) ), ~( theorem( or( Y, or( X, Z
% 8.23/8.62 ) ) ) ) ] )
% 8.23/8.62 , 1, clause( 68, [ theorem( or( not( X ), X ) ) ] )
% 8.23/8.62 , 0, substitution( 0, [ :=( X, X ), :=( Y, not( or( X, Y ) ) ), :=( Z, Y )] )
% 8.23/8.62 , substitution( 1, [ :=( X, or( X, Y ) )] )).
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 subsumption(
% 8.23/8.62 clause( 70, [ theorem( or( X, or( not( or( X, Y ) ), Y ) ) ) ] )
% 8.23/8.62 , clause( 50132, [ theorem( or( X, or( not( or( X, Y ) ), Y ) ) ) ] )
% 8.23/8.62 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 8.23/8.62 )] ) ).
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 resolution(
% 8.23/8.62 clause( 50133, [ theorem( or( not( X ), or( not( or( not( or( Y, X ) ), Z )
% 8.23/8.62 ), Z ) ) ) ] )
% 8.23/8.62 , clause( 38, [ theorem( or( not( X ), Y ) ), ~( theorem( or( not( or( Z, X
% 8.23/8.62 ) ), Y ) ) ) ] )
% 8.23/8.62 , 1, clause( 70, [ theorem( or( X, or( not( or( X, Y ) ), Y ) ) ) ] )
% 8.23/8.62 , 0, substitution( 0, [ :=( X, X ), :=( Y, or( not( or( not( or( Y, X ) ),
% 8.23/8.62 Z ) ), Z ) ), :=( Z, Y )] ), substitution( 1, [ :=( X, not( or( Y, X ) )
% 8.23/8.62 ), :=( Y, Z )] )).
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 subsumption(
% 8.23/8.62 clause( 214, [ theorem( or( not( X ), or( not( or( not( or( Y, X ) ), Z ) )
% 8.23/8.62 , Z ) ) ) ] )
% 8.23/8.62 , clause( 50133, [ theorem( or( not( X ), or( not( or( not( or( Y, X ) ), Z
% 8.23/8.62 ) ), Z ) ) ) ] )
% 8.23/8.62 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 8.23/8.62 permutation( 0, [ ==>( 0, 0 )] ) ).
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 resolution(
% 8.23/8.62 clause( 50134, [ theorem( or( not( or( not( or( X, Y ) ), Z ) ), or( not( Y
% 8.23/8.62 ), Z ) ) ) ] )
% 8.23/8.62 , clause( 18, [ theorem( or( X, or( Y, Z ) ) ), ~( theorem( or( Y, or( X, Z
% 8.23/8.62 ) ) ) ) ] )
% 8.23/8.62 , 1, clause( 214, [ theorem( or( not( X ), or( not( or( not( or( Y, X ) ),
% 8.23/8.62 Z ) ), Z ) ) ) ] )
% 8.23/8.62 , 0, substitution( 0, [ :=( X, not( or( not( or( X, Y ) ), Z ) ) ), :=( Y,
% 8.23/8.62 not( Y ) ), :=( Z, Z )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ),
% 8.23/8.62 :=( Z, Z )] )).
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 subsumption(
% 8.23/8.62 clause( 2172, [ theorem( or( not( or( not( or( X, Y ) ), Z ) ), or( not( Y
% 8.23/8.62 ), Z ) ) ) ] )
% 8.23/8.62 , clause( 50134, [ theorem( or( not( or( not( or( X, Y ) ), Z ) ), or( not(
% 8.23/8.62 Y ), Z ) ) ) ] )
% 8.23/8.62 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 8.23/8.62 permutation( 0, [ ==>( 0, 0 )] ) ).
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 resolution(
% 8.23/8.62 clause( 50135, [ theorem( or( not( or( X, or( not( or( Y, Z ) ), T ) ) ),
% 8.23/8.62 or( X, or( not( Z ), T ) ) ) ) ] )
% 8.23/8.62 , clause( 27, [ theorem( or( not( or( X, Y ) ), or( X, Z ) ) ), ~( theorem(
% 8.23/8.62 or( not( Y ), Z ) ) ) ] )
% 8.23/8.62 , 1, clause( 2172, [ theorem( or( not( or( not( or( X, Y ) ), Z ) ), or(
% 8.23/8.62 not( Y ), Z ) ) ) ] )
% 8.23/8.62 , 0, substitution( 0, [ :=( X, X ), :=( Y, or( not( or( Y, Z ) ), T ) ),
% 8.23/8.62 :=( Z, or( not( Z ), T ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z )
% 8.23/8.62 , :=( Z, T )] )).
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 subsumption(
% 8.23/8.62 clause( 5501, [ theorem( or( not( or( X, or( not( or( Y, Z ) ), T ) ) ), or(
% 8.23/8.62 X, or( not( Z ), T ) ) ) ) ] )
% 8.23/8.62 , clause( 50135, [ theorem( or( not( or( X, or( not( or( Y, Z ) ), T ) ) )
% 8.23/8.62 , or( X, or( not( Z ), T ) ) ) ) ] )
% 8.23/8.62 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 8.23/8.62 permutation( 0, [ ==>( 0, 0 )] ) ).
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 resolution(
% 8.23/8.62 clause( 50136, [ theorem( or( not( or( not( or( X, Y ) ), or( Z, T ) ) ),
% 8.23/8.62 or( Z, or( not( Y ), T ) ) ) ) ] )
% 8.23/8.62 , clause( 35, [ theorem( or( not( or( X, or( Y, Z ) ) ), T ) ), ~( theorem(
% 8.23/8.62 or( not( or( Y, or( X, Z ) ) ), T ) ) ) ] )
% 8.23/8.62 , 1, clause( 5501, [ theorem( or( not( or( X, or( not( or( Y, Z ) ), T ) )
% 8.23/8.62 ), or( X, or( not( Z ), T ) ) ) ) ] )
% 8.23/8.62 , 0, substitution( 0, [ :=( X, not( or( X, Y ) ) ), :=( Y, Z ), :=( Z, T )
% 8.23/8.62 , :=( T, or( Z, or( not( Y ), T ) ) )] ), substitution( 1, [ :=( X, Z ),
% 8.23/8.62 :=( Y, X ), :=( Z, Y ), :=( T, T )] )).
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 subsumption(
% 8.23/8.62 clause( 49398, [ theorem( or( not( or( not( or( X, Y ) ), or( Z, T ) ) ),
% 8.23/8.62 or( Z, or( not( Y ), T ) ) ) ) ] )
% 8.23/8.62 , clause( 50136, [ theorem( or( not( or( not( or( X, Y ) ), or( Z, T ) ) )
% 8.23/8.62 , or( Z, or( not( Y ), T ) ) ) ) ] )
% 8.23/8.62 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 8.23/8.62 permutation( 0, [ ==>( 0, 0 )] ) ).
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 resolution(
% 8.23/8.62 clause( 50137, [] )
% 8.23/8.62 , clause( 8, [ ~( theorem( or( not( or( not( or( p, q ) ), or( p, r ) ) ),
% 8.23/8.62 or( p, or( not( q ), r ) ) ) ) ) ] )
% 8.23/8.62 , 0, clause( 49398, [ theorem( or( not( or( not( or( X, Y ) ), or( Z, T ) )
% 8.23/8.62 ), or( Z, or( not( Y ), T ) ) ) ) ] )
% 8.23/8.62 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, p ), :=( Y, q ), :=(
% 8.23/8.62 Z, p ), :=( T, r )] )).
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 subsumption(
% 8.23/8.62 clause( 50113, [] )
% 8.23/8.62 , clause( 50137, [] )
% 8.23/8.62 , substitution( 0, [] ), permutation( 0, [] ) ).
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 end.
% 8.23/8.62
% 8.23/8.62 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 8.23/8.62
% 8.23/8.62 Memory use:
% 8.23/8.62
% 8.23/8.62 space for terms: 942508
% 8.23/8.62 space for clauses: 3863493
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 clauses generated: 86919
% 8.23/8.62 clauses kept: 50114
% 8.23/8.62 clauses selected: 14510
% 8.23/8.62 clauses deleted: 2093
% 8.23/8.62 clauses inuse deleted: 25
% 8.23/8.62
% 8.23/8.62 subsentry: 40183
% 8.23/8.62 literals s-matched: 40183
% 8.23/8.62 literals matched: 40183
% 8.23/8.62 full subsumption: 0
% 8.23/8.62
% 8.23/8.62 checksum: 1940658097
% 8.23/8.62
% 8.23/8.62
% 8.23/8.62 Bliksem ended
%------------------------------------------------------------------------------