TSTP Solution File: LCL180-3 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL180-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n010.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 07:51:18 EDT 2022
% Result : Unsatisfiable 4.04s 4.44s
% Output : Refutation 4.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL180-3 : TPTP v8.1.0. Released v2.3.0.
% 0.12/0.13 % Command : bliksem %s
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Mon Jul 4 00:17:32 EDT 2022
% 0.12/0.34 % CPUTime :
% 4.04/4.44 *** allocated 10000 integers for termspace/termends
% 4.04/4.44 *** allocated 10000 integers for clauses
% 4.04/4.44 *** allocated 10000 integers for justifications
% 4.04/4.44 Bliksem 1.12
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 Automatic Strategy Selection
% 4.04/4.44
% 4.04/4.44 Clauses:
% 4.04/4.44 [
% 4.04/4.44 [ axiom( implies( or( X, X ), X ) ) ],
% 4.04/4.44 [ axiom( implies( X, or( Y, X ) ) ) ],
% 4.04/4.44 [ axiom( implies( or( X, Y ), or( Y, X ) ) ) ],
% 4.04/4.44 [ axiom( implies( or( X, or( Y, Z ) ), or( Y, or( X, Z ) ) ) ) ],
% 4.04/4.44 [ axiom( implies( implies( X, Y ), implies( or( Z, X ), or( Z, Y ) ) ) )
% 4.04/4.44 ],
% 4.04/4.44 [ =( implies( X, Y ), or( not( X ), Y ) ) ],
% 4.04/4.44 [ theorem( X ), ~( axiom( X ) ) ],
% 4.04/4.44 [ theorem( X ), ~( theorem( implies( Y, X ) ) ), ~( theorem( Y ) ) ]
% 4.04/4.44 ,
% 4.04/4.44 [ ~( theorem( implies( not( not( p ) ), p ) ) ) ]
% 4.04/4.44 ] .
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 percentage equality = 0.083333, percentage horn = 1.000000
% 4.04/4.44 This is a problem with some equality
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 Options Used:
% 4.04/4.44
% 4.04/4.44 useres = 1
% 4.04/4.44 useparamod = 1
% 4.04/4.44 useeqrefl = 1
% 4.04/4.44 useeqfact = 1
% 4.04/4.44 usefactor = 1
% 4.04/4.44 usesimpsplitting = 0
% 4.04/4.44 usesimpdemod = 5
% 4.04/4.44 usesimpres = 3
% 4.04/4.44
% 4.04/4.44 resimpinuse = 1000
% 4.04/4.44 resimpclauses = 20000
% 4.04/4.44 substype = eqrewr
% 4.04/4.44 backwardsubs = 1
% 4.04/4.44 selectoldest = 5
% 4.04/4.44
% 4.04/4.44 litorderings [0] = split
% 4.04/4.44 litorderings [1] = extend the termordering, first sorting on arguments
% 4.04/4.44
% 4.04/4.44 termordering = kbo
% 4.04/4.44
% 4.04/4.44 litapriori = 0
% 4.04/4.44 termapriori = 1
% 4.04/4.44 litaposteriori = 0
% 4.04/4.44 termaposteriori = 0
% 4.04/4.44 demodaposteriori = 0
% 4.04/4.44 ordereqreflfact = 0
% 4.04/4.44
% 4.04/4.44 litselect = negord
% 4.04/4.44
% 4.04/4.44 maxweight = 15
% 4.04/4.44 maxdepth = 30000
% 4.04/4.44 maxlength = 115
% 4.04/4.44 maxnrvars = 195
% 4.04/4.44 excuselevel = 1
% 4.04/4.44 increasemaxweight = 1
% 4.04/4.44
% 4.04/4.44 maxselected = 10000000
% 4.04/4.44 maxnrclauses = 10000000
% 4.04/4.44
% 4.04/4.44 showgenerated = 0
% 4.04/4.44 showkept = 0
% 4.04/4.44 showselected = 0
% 4.04/4.44 showdeleted = 0
% 4.04/4.44 showresimp = 1
% 4.04/4.44 showstatus = 2000
% 4.04/4.44
% 4.04/4.44 prologoutput = 1
% 4.04/4.44 nrgoals = 5000000
% 4.04/4.44 totalproof = 1
% 4.04/4.44
% 4.04/4.44 Symbols occurring in the translation:
% 4.04/4.44
% 4.04/4.44 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 4.04/4.44 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 4.04/4.44 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 4.04/4.44 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.04/4.44 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.04/4.44 or [40, 2] (w:1, o:48, a:1, s:1, b:0),
% 4.04/4.44 implies [41, 2] (w:1, o:49, a:1, s:1, b:0),
% 4.04/4.44 axiom [42, 1] (w:1, o:20, a:1, s:1, b:0),
% 4.04/4.44 not [47, 1] (w:1, o:21, a:1, s:1, b:0),
% 4.04/4.44 theorem [48, 1] (w:1, o:22, a:1, s:1, b:0),
% 4.04/4.44 p [49, 0] (w:1, o:14, a:1, s:1, b:0).
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 Starting Search:
% 4.04/4.44
% 4.04/4.44 Resimplifying inuse:
% 4.04/4.44 Done
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 Intermediate Status:
% 4.04/4.44 Generated: 3642
% 4.04/4.44 Kept: 2033
% 4.04/4.44 Inuse: 111
% 4.04/4.44 Deleted: 0
% 4.04/4.44 Deletedinuse: 0
% 4.04/4.44
% 4.04/4.44 Resimplifying inuse:
% 4.04/4.44 Done
% 4.04/4.44
% 4.04/4.44 Resimplifying inuse:
% 4.04/4.44 Done
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 Intermediate Status:
% 4.04/4.44 Generated: 8117
% 4.04/4.44 Kept: 4068
% 4.04/4.44 Inuse: 179
% 4.04/4.44 Deleted: 0
% 4.04/4.44 Deletedinuse: 0
% 4.04/4.44
% 4.04/4.44 Resimplifying inuse:
% 4.04/4.44 Done
% 4.04/4.44
% 4.04/4.44 Resimplifying inuse:
% 4.04/4.44 Done
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 Intermediate Status:
% 4.04/4.44 Generated: 13291
% 4.04/4.44 Kept: 6074
% 4.04/4.44 Inuse: 241
% 4.04/4.44 Deleted: 0
% 4.04/4.44 Deletedinuse: 0
% 4.04/4.44
% 4.04/4.44 Resimplifying inuse:
% 4.04/4.44 Done
% 4.04/4.44
% 4.04/4.44 Resimplifying inuse:
% 4.04/4.44 Done
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 Intermediate Status:
% 4.04/4.44 Generated: 18605
% 4.04/4.44 Kept: 8139
% 4.04/4.44 Inuse: 291
% 4.04/4.44 Deleted: 0
% 4.04/4.44 Deletedinuse: 0
% 4.04/4.44
% 4.04/4.44 Resimplifying inuse:
% 4.04/4.44 Done
% 4.04/4.44
% 4.04/4.44 Resimplifying inuse:
% 4.04/4.44 Done
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 Intermediate Status:
% 4.04/4.44 Generated: 24788
% 4.04/4.44 Kept: 10139
% 4.04/4.44 Inuse: 339
% 4.04/4.44 Deleted: 0
% 4.04/4.44 Deletedinuse: 0
% 4.04/4.44
% 4.04/4.44 Resimplifying inuse:
% 4.04/4.44 Done
% 4.04/4.44
% 4.04/4.44 Resimplifying inuse:
% 4.04/4.44 Done
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 Intermediate Status:
% 4.04/4.44 Generated: 28757
% 4.04/4.44 Kept: 12258
% 4.04/4.44 Inuse: 360
% 4.04/4.44 Deleted: 0
% 4.04/4.44 Deletedinuse: 0
% 4.04/4.44
% 4.04/4.44 Resimplifying inuse:
% 4.04/4.44 Done
% 4.04/4.44
% 4.04/4.44 Resimplifying inuse:
% 4.04/4.44 Done
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 Intermediate Status:
% 4.04/4.44 Generated: 32803
% 4.04/4.44 Kept: 14303
% 4.04/4.44 Inuse: 383
% 4.04/4.44 Deleted: 0
% 4.04/4.44 Deletedinuse: 0
% 4.04/4.44
% 4.04/4.44 Resimplifying inuse:
% 4.04/4.44 Done
% 4.04/4.44
% 4.04/4.44 Resimplifying inuse:
% 4.04/4.44 Done
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 Intermediate Status:
% 4.04/4.44 Generated: 36223
% 4.04/4.44 Kept: 16369
% 4.04/4.44 Inuse: 418
% 4.04/4.44 Deleted: 0
% 4.04/4.44 Deletedinuse: 0
% 4.04/4.44
% 4.04/4.44 Resimplifying inuse:
% 4.04/4.44 Done
% 4.04/4.44
% 4.04/4.44 Resimplifying inuse:
% 4.04/4.44 Done
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 Intermediate Status:
% 4.04/4.44 Generated: 39638
% 4.04/4.44 Kept: 18457
% 4.04/4.44 Inuse: 436
% 4.04/4.44 Deleted: 0
% 4.04/4.44 Deletedinuse: 0
% 4.04/4.44
% 4.04/4.44 Resimplifying inuse:
% 4.04/4.44 Done
% 4.04/4.44
% 4.04/4.44 Resimplifying clauses:
% 4.04/4.44 Done
% 4.04/4.44
% 4.04/4.44 Resimplifying inuse:
% 4.04/4.44 Done
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 Intermediate Status:
% 4.04/4.44 Generated: 43697
% 4.04/4.44 Kept: 20471
% 4.04/4.44 Inuse: 470
% 4.04/4.44 Deleted: 61
% 4.04/4.44 Deletedinuse: 0
% 4.04/4.44
% 4.04/4.44 Resimplifying inuse:
% 4.04/4.44 Done
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 Intermediate Status:
% 4.04/4.44 Generated: 47445
% 4.04/4.44 Kept: 22482
% 4.04/4.44 Inuse: 491
% 4.04/4.44 Deleted: 61
% 4.04/4.44 Deletedinuse: 0
% 4.04/4.44
% 4.04/4.44 Resimplifying inuse:
% 4.04/4.44 Done
% 4.04/4.44
% 4.04/4.44 Resimplifying inuse:
% 4.04/4.44 Done
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 Intermediate Status:
% 4.04/4.44 Generated: 51552
% 4.04/4.44 Kept: 24541
% 4.04/4.44 Inuse: 511
% 4.04/4.44 Deleted: 61
% 4.04/4.44 Deletedinuse: 0
% 4.04/4.44
% 4.04/4.44 Resimplifying inuse:
% 4.04/4.44 Done
% 4.04/4.44
% 4.04/4.44 Resimplifying inuse:
% 4.04/4.44 Done
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 Intermediate Status:
% 4.04/4.44 Generated: 55719
% 4.04/4.44 Kept: 26659
% 4.04/4.44 Inuse: 546
% 4.04/4.44 Deleted: 61
% 4.04/4.44 Deletedinuse: 0
% 4.04/4.44
% 4.04/4.44 Resimplifying inuse:
% 4.04/4.44 Done
% 4.04/4.44
% 4.04/4.44 Resimplifying inuse:
% 4.04/4.44 Done
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 Intermediate Status:
% 4.04/4.44 Generated: 62885
% 4.04/4.44 Kept: 28817
% 4.04/4.44 Inuse: 573
% 4.04/4.44 Deleted: 61
% 4.04/4.44 Deletedinuse: 0
% 4.04/4.44
% 4.04/4.44 Resimplifying inuse:
% 4.04/4.44 Done
% 4.04/4.44
% 4.04/4.44 Resimplifying inuse:
% 4.04/4.44 Done
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 Intermediate Status:
% 4.04/4.44 Generated: 68016
% 4.04/4.44 Kept: 30882
% 4.04/4.44 Inuse: 590
% 4.04/4.44 Deleted: 61
% 4.04/4.44 Deletedinuse: 0
% 4.04/4.44
% 4.04/4.44 Resimplifying inuse:
% 4.04/4.44 Done
% 4.04/4.44
% 4.04/4.44 Resimplifying inuse:
% 4.04/4.44 Done
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 Intermediate Status:
% 4.04/4.44 Generated: 81849
% 4.04/4.44 Kept: 32898
% 4.04/4.44 Inuse: 645
% 4.04/4.44 Deleted: 61
% 4.04/4.44 Deletedinuse: 0
% 4.04/4.44
% 4.04/4.44 Resimplifying inuse:
% 4.04/4.44 Done
% 4.04/4.44
% 4.04/4.44 Resimplifying inuse:
% 4.04/4.44 Done
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 Intermediate Status:
% 4.04/4.44 Generated: 91698
% 4.04/4.44 Kept: 35070
% 4.04/4.44 Inuse: 673
% 4.04/4.44 Deleted: 61
% 4.04/4.44 Deletedinuse: 0
% 4.04/4.44
% 4.04/4.44 Resimplifying inuse:
% 4.04/4.44 Done
% 4.04/4.44
% 4.04/4.44 Resimplifying inuse:
% 4.04/4.44 Done
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 Intermediate Status:
% 4.04/4.44 Generated: 103291
% 4.04/4.44 Kept: 37090
% 4.04/4.44 Inuse: 717
% 4.04/4.44 Deleted: 61
% 4.04/4.44 Deletedinuse: 0
% 4.04/4.44
% 4.04/4.44 Resimplifying inuse:
% 4.04/4.44 Done
% 4.04/4.44
% 4.04/4.44 Resimplifying inuse:
% 4.04/4.44 Done
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 Intermediate Status:
% 4.04/4.44 Generated: 111598
% 4.04/4.44 Kept: 39351
% 4.04/4.44 Inuse: 745
% 4.04/4.44 Deleted: 65
% 4.04/4.44 Deletedinuse: 0
% 4.04/4.44
% 4.04/4.44 Resimplifying inuse:
% 4.04/4.44 Done
% 4.04/4.44
% 4.04/4.44 Resimplifying clauses:
% 4.04/4.44 Done
% 4.04/4.44
% 4.04/4.44 Resimplifying inuse:
% 4.04/4.44 Done
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 Intermediate Status:
% 4.04/4.44 Generated: 117675
% 4.04/4.44 Kept: 41361
% 4.04/4.44 Inuse: 761
% 4.04/4.44 Deleted: 83
% 4.04/4.44 Deletedinuse: 0
% 4.04/4.44
% 4.04/4.44 Resimplifying inuse:
% 4.04/4.44 Done
% 4.04/4.44
% 4.04/4.44 Resimplifying inuse:
% 4.04/4.44 Done
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 Intermediate Status:
% 4.04/4.44 Generated: 123995
% 4.04/4.44 Kept: 43444
% 4.04/4.44 Inuse: 783
% 4.04/4.44 Deleted: 83
% 4.04/4.44 Deletedinuse: 0
% 4.04/4.44
% 4.04/4.44 Resimplifying inuse:
% 4.04/4.44 Done
% 4.04/4.44
% 4.04/4.44 Resimplifying inuse:
% 4.04/4.44 Done
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 Intermediate Status:
% 4.04/4.44 Generated: 129253
% 4.04/4.44 Kept: 45745
% 4.04/4.44 Inuse: 803
% 4.04/4.44 Deleted: 83
% 4.04/4.44 Deletedinuse: 0
% 4.04/4.44
% 4.04/4.44 Resimplifying inuse:
% 4.04/4.44 Done
% 4.04/4.44
% 4.04/4.44 Resimplifying inuse:
% 4.04/4.44 Done
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 Intermediate Status:
% 4.04/4.44 Generated: 133539
% 4.04/4.44 Kept: 47897
% 4.04/4.44 Inuse: 820
% 4.04/4.44 Deleted: 83
% 4.04/4.44 Deletedinuse: 0
% 4.04/4.44
% 4.04/4.44 Resimplifying inuse:
% 4.04/4.44 Done
% 4.04/4.44
% 4.04/4.44 Resimplifying inuse:
% 4.04/4.44 Done
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 Bliksems!, er is een bewijs:
% 4.04/4.44 % SZS status Unsatisfiable
% 4.04/4.44 % SZS output start Refutation
% 4.04/4.44
% 4.04/4.44 clause( 0, [ axiom( implies( or( X, X ), X ) ) ] )
% 4.04/4.44 .
% 4.04/4.44 clause( 1, [ axiom( implies( X, or( Y, X ) ) ) ] )
% 4.04/4.44 .
% 4.04/4.44 clause( 2, [ axiom( implies( or( X, Y ), or( Y, X ) ) ) ] )
% 4.04/4.44 .
% 4.04/4.44 clause( 3, [ axiom( implies( or( X, or( Y, Z ) ), or( Y, or( X, Z ) ) ) ) ]
% 4.04/4.44 )
% 4.04/4.44 .
% 4.04/4.44 clause( 4, [ axiom( implies( implies( X, Y ), implies( or( Z, X ), or( Z, Y
% 4.04/4.44 ) ) ) ) ] )
% 4.04/4.44 .
% 4.04/4.44 clause( 5, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 4.04/4.44 .
% 4.04/4.44 clause( 6, [ theorem( X ), ~( axiom( X ) ) ] )
% 4.04/4.44 .
% 4.04/4.44 clause( 7, [ theorem( X ), ~( theorem( implies( Y, X ) ) ), ~( theorem( Y )
% 4.04/4.44 ) ] )
% 4.04/4.44 .
% 4.04/4.44 clause( 8, [ ~( theorem( implies( not( not( p ) ), p ) ) ) ] )
% 4.04/4.44 .
% 4.04/4.44 clause( 9, [ theorem( implies( X, or( Y, X ) ) ) ] )
% 4.04/4.44 .
% 4.04/4.44 clause( 10, [ theorem( implies( or( X, X ), X ) ) ] )
% 4.04/4.44 .
% 4.04/4.44 clause( 16, [ theorem( X ), ~( theorem( or( X, X ) ) ) ] )
% 4.04/4.44 .
% 4.04/4.44 clause( 20, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( implies( Y, X ) )
% 4.04/4.44 ) ] )
% 4.04/4.44 .
% 4.04/4.44 clause( 59, [ theorem( implies( or( X, Y ), or( X, Z ) ) ), ~( theorem(
% 4.04/4.44 implies( Y, Z ) ) ) ] )
% 4.04/4.44 .
% 4.04/4.44 clause( 72, [ theorem( or( X, Y ) ), ~( theorem( or( Y, X ) ) ) ] )
% 4.04/4.44 .
% 4.04/4.44 clause( 74, [ theorem( X ), ~( axiom( implies( implies( Y, or( Z, Y ) ), X
% 4.04/4.44 ) ) ) ] )
% 4.04/4.44 .
% 4.04/4.44 clause( 99, [ theorem( implies( X, Y ) ), ~( theorem( or( Y, not( X ) ) ) )
% 4.04/4.44 ] )
% 4.04/4.44 .
% 4.04/4.44 clause( 100, [ theorem( or( Y, not( X ) ) ), ~( theorem( implies( X, Y ) )
% 4.04/4.44 ) ] )
% 4.04/4.44 .
% 4.04/4.44 clause( 109, [ axiom( implies( implies( X, or( Y, Z ) ), or( Y, implies( X
% 4.04/4.44 , Z ) ) ) ) ] )
% 4.04/4.44 .
% 4.04/4.44 clause( 8362, [ ~( theorem( or( p, not( not( not( p ) ) ) ) ) ) ] )
% 4.04/4.44 .
% 4.04/4.44 clause( 14408, [ theorem( or( X, implies( Y, Y ) ) ) ] )
% 4.04/4.44 .
% 4.04/4.44 clause( 14535, [ theorem( implies( X, X ) ) ] )
% 4.04/4.44 .
% 4.04/4.44 clause( 14557, [ theorem( or( X, not( X ) ) ) ] )
% 4.04/4.44 .
% 4.04/4.44 clause( 14759, [ theorem( X ), ~( theorem( implies( or( Y, not( Y ) ), X )
% 4.04/4.44 ) ) ] )
% 4.04/4.44 .
% 4.04/4.44 clause( 14760, [ theorem( implies( X, not( not( X ) ) ) ) ] )
% 4.04/4.44 .
% 4.04/4.44 clause( 49636, [ theorem( or( X, Y ) ), ~( theorem( implies( not( X ), Y )
% 4.04/4.44 ) ) ] )
% 4.04/4.44 .
% 4.04/4.44 clause( 49913, [] )
% 4.04/4.44 .
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 % SZS output end Refutation
% 4.04/4.44 found a proof!
% 4.04/4.44
% 4.04/4.44 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 4.04/4.44
% 4.04/4.44 initialclauses(
% 4.04/4.44 [ clause( 49915, [ axiom( implies( or( X, X ), X ) ) ] )
% 4.04/4.44 , clause( 49916, [ axiom( implies( X, or( Y, X ) ) ) ] )
% 4.04/4.44 , clause( 49917, [ axiom( implies( or( X, Y ), or( Y, X ) ) ) ] )
% 4.04/4.44 , clause( 49918, [ axiom( implies( or( X, or( Y, Z ) ), or( Y, or( X, Z ) )
% 4.04/4.44 ) ) ] )
% 4.04/4.44 , clause( 49919, [ axiom( implies( implies( X, Y ), implies( or( Z, X ), or(
% 4.04/4.44 Z, Y ) ) ) ) ] )
% 4.04/4.44 , clause( 49920, [ =( implies( X, Y ), or( not( X ), Y ) ) ] )
% 4.04/4.44 , clause( 49921, [ theorem( X ), ~( axiom( X ) ) ] )
% 4.04/4.44 , clause( 49922, [ theorem( X ), ~( theorem( implies( Y, X ) ) ), ~(
% 4.04/4.44 theorem( Y ) ) ] )
% 4.04/4.44 , clause( 49923, [ ~( theorem( implies( not( not( p ) ), p ) ) ) ] )
% 4.04/4.44 ] ).
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 subsumption(
% 4.04/4.44 clause( 0, [ axiom( implies( or( X, X ), X ) ) ] )
% 4.04/4.44 , clause( 49915, [ axiom( implies( or( X, X ), X ) ) ] )
% 4.04/4.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 subsumption(
% 4.04/4.44 clause( 1, [ axiom( implies( X, or( Y, X ) ) ) ] )
% 4.04/4.44 , clause( 49916, [ axiom( implies( X, or( Y, X ) ) ) ] )
% 4.04/4.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.04/4.44 )] ) ).
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 subsumption(
% 4.04/4.44 clause( 2, [ axiom( implies( or( X, Y ), or( Y, X ) ) ) ] )
% 4.04/4.44 , clause( 49917, [ axiom( implies( or( X, Y ), or( Y, X ) ) ) ] )
% 4.04/4.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.04/4.44 )] ) ).
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 subsumption(
% 4.04/4.44 clause( 3, [ axiom( implies( or( X, or( Y, Z ) ), or( Y, or( X, Z ) ) ) ) ]
% 4.04/4.44 )
% 4.04/4.44 , clause( 49918, [ axiom( implies( or( X, or( Y, Z ) ), or( Y, or( X, Z ) )
% 4.04/4.44 ) ) ] )
% 4.04/4.44 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.04/4.44 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 subsumption(
% 4.04/4.44 clause( 4, [ axiom( implies( implies( X, Y ), implies( or( Z, X ), or( Z, Y
% 4.04/4.44 ) ) ) ) ] )
% 4.04/4.44 , clause( 49919, [ axiom( implies( implies( X, Y ), implies( or( Z, X ), or(
% 4.04/4.44 Z, Y ) ) ) ) ] )
% 4.04/4.44 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.04/4.44 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 eqswap(
% 4.04/4.44 clause( 49924, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 4.04/4.44 , clause( 49920, [ =( implies( X, Y ), or( not( X ), Y ) ) ] )
% 4.04/4.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 subsumption(
% 4.04/4.44 clause( 5, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 4.04/4.44 , clause( 49924, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 4.04/4.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.04/4.44 )] ) ).
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 subsumption(
% 4.04/4.44 clause( 6, [ theorem( X ), ~( axiom( X ) ) ] )
% 4.04/4.44 , clause( 49921, [ theorem( X ), ~( axiom( X ) ) ] )
% 4.04/4.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 4.04/4.44 1 )] ) ).
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 subsumption(
% 4.04/4.44 clause( 7, [ theorem( X ), ~( theorem( implies( Y, X ) ) ), ~( theorem( Y )
% 4.04/4.44 ) ] )
% 4.04/4.44 , clause( 49922, [ theorem( X ), ~( theorem( implies( Y, X ) ) ), ~(
% 4.04/4.44 theorem( Y ) ) ] )
% 4.04/4.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.04/4.44 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 subsumption(
% 4.04/4.44 clause( 8, [ ~( theorem( implies( not( not( p ) ), p ) ) ) ] )
% 4.04/4.44 , clause( 49923, [ ~( theorem( implies( not( not( p ) ), p ) ) ) ] )
% 4.04/4.44 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 resolution(
% 4.04/4.44 clause( 49928, [ theorem( implies( X, or( Y, X ) ) ) ] )
% 4.04/4.44 , clause( 6, [ theorem( X ), ~( axiom( X ) ) ] )
% 4.04/4.44 , 1, clause( 1, [ axiom( implies( X, or( Y, X ) ) ) ] )
% 4.04/4.44 , 0, substitution( 0, [ :=( X, implies( X, or( Y, X ) ) )] ),
% 4.04/4.44 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 subsumption(
% 4.04/4.44 clause( 9, [ theorem( implies( X, or( Y, X ) ) ) ] )
% 4.04/4.44 , clause( 49928, [ theorem( implies( X, or( Y, X ) ) ) ] )
% 4.04/4.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.04/4.44 )] ) ).
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 resolution(
% 4.04/4.44 clause( 49929, [ theorem( implies( or( X, X ), X ) ) ] )
% 4.04/4.44 , clause( 6, [ theorem( X ), ~( axiom( X ) ) ] )
% 4.04/4.44 , 1, clause( 0, [ axiom( implies( or( X, X ), X ) ) ] )
% 4.04/4.44 , 0, substitution( 0, [ :=( X, implies( or( X, X ), X ) )] ),
% 4.04/4.44 substitution( 1, [ :=( X, X )] )).
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 subsumption(
% 4.04/4.44 clause( 10, [ theorem( implies( or( X, X ), X ) ) ] )
% 4.04/4.44 , clause( 49929, [ theorem( implies( or( X, X ), X ) ) ] )
% 4.04/4.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 resolution(
% 4.04/4.44 clause( 49930, [ theorem( X ), ~( theorem( or( X, X ) ) ) ] )
% 4.04/4.44 , clause( 7, [ theorem( X ), ~( theorem( implies( Y, X ) ) ), ~( theorem( Y
% 4.04/4.44 ) ) ] )
% 4.04/4.44 , 1, clause( 10, [ theorem( implies( or( X, X ), X ) ) ] )
% 4.04/4.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, or( X, X ) )] ), substitution( 1
% 4.04/4.44 , [ :=( X, X )] )).
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 subsumption(
% 4.04/4.44 clause( 16, [ theorem( X ), ~( theorem( or( X, X ) ) ) ] )
% 4.04/4.44 , clause( 49930, [ theorem( X ), ~( theorem( or( X, X ) ) ) ] )
% 4.04/4.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 4.04/4.44 1 )] ) ).
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 resolution(
% 4.04/4.44 clause( 49932, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( implies( Y, X )
% 4.04/4.44 ) ) ] )
% 4.04/4.44 , clause( 7, [ theorem( X ), ~( theorem( implies( Y, X ) ) ), ~( theorem( Y
% 4.04/4.44 ) ) ] )
% 4.04/4.44 , 1, clause( 6, [ theorem( X ), ~( axiom( X ) ) ] )
% 4.04/4.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 4.04/4.44 , implies( Y, X ) )] )).
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 subsumption(
% 4.04/4.44 clause( 20, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( implies( Y, X ) )
% 4.04/4.44 ) ] )
% 4.04/4.44 , clause( 49932, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( implies( Y, X
% 4.04/4.44 ) ) ) ] )
% 4.04/4.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.04/4.44 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 resolution(
% 4.04/4.44 clause( 49934, [ theorem( implies( or( X, Y ), or( X, Z ) ) ), ~( theorem(
% 4.04/4.44 implies( Y, Z ) ) ) ] )
% 4.04/4.44 , clause( 20, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( implies( Y, X )
% 4.04/4.44 ) ) ] )
% 4.04/4.44 , 2, clause( 4, [ axiom( implies( implies( X, Y ), implies( or( Z, X ), or(
% 4.04/4.44 Z, Y ) ) ) ) ] )
% 4.04/4.44 , 0, substitution( 0, [ :=( X, implies( or( X, Y ), or( X, Z ) ) ), :=( Y,
% 4.04/4.44 implies( Y, Z ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, X
% 4.04/4.44 )] )).
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 subsumption(
% 4.04/4.44 clause( 59, [ theorem( implies( or( X, Y ), or( X, Z ) ) ), ~( theorem(
% 4.04/4.44 implies( Y, Z ) ) ) ] )
% 4.04/4.44 , clause( 49934, [ theorem( implies( or( X, Y ), or( X, Z ) ) ), ~( theorem(
% 4.04/4.44 implies( Y, Z ) ) ) ] )
% 4.04/4.44 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.04/4.44 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 resolution(
% 4.04/4.44 clause( 49935, [ theorem( or( X, Y ) ), ~( theorem( or( Y, X ) ) ) ] )
% 4.04/4.44 , clause( 20, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( implies( Y, X )
% 4.04/4.44 ) ) ] )
% 4.04/4.44 , 2, clause( 2, [ axiom( implies( or( X, Y ), or( Y, X ) ) ) ] )
% 4.04/4.44 , 0, substitution( 0, [ :=( X, or( X, Y ) ), :=( Y, or( Y, X ) )] ),
% 4.04/4.44 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 subsumption(
% 4.04/4.44 clause( 72, [ theorem( or( X, Y ) ), ~( theorem( or( Y, X ) ) ) ] )
% 4.04/4.44 , clause( 49935, [ theorem( or( X, Y ) ), ~( theorem( or( Y, X ) ) ) ] )
% 4.04/4.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.04/4.44 ), ==>( 1, 1 )] ) ).
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 resolution(
% 4.04/4.44 clause( 49936, [ theorem( X ), ~( axiom( implies( implies( Y, or( Z, Y ) )
% 4.04/4.44 , X ) ) ) ] )
% 4.04/4.44 , clause( 20, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( implies( Y, X )
% 4.04/4.44 ) ) ] )
% 4.04/4.44 , 1, clause( 9, [ theorem( implies( X, or( Y, X ) ) ) ] )
% 4.04/4.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( Y, or( Z, Y ) ) )] ),
% 4.04/4.44 substitution( 1, [ :=( X, Y ), :=( Y, Z )] )).
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 subsumption(
% 4.04/4.44 clause( 74, [ theorem( X ), ~( axiom( implies( implies( Y, or( Z, Y ) ), X
% 4.04/4.44 ) ) ) ] )
% 4.04/4.44 , clause( 49936, [ theorem( X ), ~( axiom( implies( implies( Y, or( Z, Y )
% 4.04/4.44 ), X ) ) ) ] )
% 4.04/4.44 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.04/4.44 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 paramod(
% 4.04/4.44 clause( 49938, [ theorem( implies( X, Y ) ), ~( theorem( or( Y, not( X ) )
% 4.04/4.44 ) ) ] )
% 4.04/4.44 , clause( 5, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 4.04/4.44 , 0, clause( 72, [ theorem( or( X, Y ) ), ~( theorem( or( Y, X ) ) ) ] )
% 4.04/4.44 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 4.04/4.44 :=( X, not( X ) ), :=( Y, Y )] )).
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 subsumption(
% 4.04/4.44 clause( 99, [ theorem( implies( X, Y ) ), ~( theorem( or( Y, not( X ) ) ) )
% 4.04/4.44 ] )
% 4.04/4.44 , clause( 49938, [ theorem( implies( X, Y ) ), ~( theorem( or( Y, not( X )
% 4.04/4.44 ) ) ) ] )
% 4.04/4.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.04/4.44 ), ==>( 1, 1 )] ) ).
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 paramod(
% 4.04/4.44 clause( 49942, [ ~( theorem( implies( X, Y ) ) ), theorem( or( Y, not( X )
% 4.04/4.44 ) ) ] )
% 4.04/4.44 , clause( 5, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 4.04/4.44 , 0, clause( 72, [ theorem( or( X, Y ) ), ~( theorem( or( Y, X ) ) ) ] )
% 4.04/4.44 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 4.04/4.44 :=( X, Y ), :=( Y, not( X ) )] )).
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 subsumption(
% 4.04/4.44 clause( 100, [ theorem( or( Y, not( X ) ) ), ~( theorem( implies( X, Y ) )
% 4.04/4.44 ) ] )
% 4.04/4.44 , clause( 49942, [ ~( theorem( implies( X, Y ) ) ), theorem( or( Y, not( X
% 4.04/4.44 ) ) ) ] )
% 4.04/4.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 4.04/4.44 ), ==>( 1, 0 )] ) ).
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 paramod(
% 4.04/4.44 clause( 49948, [ axiom( implies( or( not( X ), or( Y, Z ) ), or( Y, implies(
% 4.04/4.44 X, Z ) ) ) ) ] )
% 4.04/4.44 , clause( 5, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 4.04/4.44 , 0, clause( 3, [ axiom( implies( or( X, or( Y, Z ) ), or( Y, or( X, Z ) )
% 4.04/4.44 ) ) ] )
% 4.04/4.44 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [
% 4.04/4.44 :=( X, not( X ) ), :=( Y, Y ), :=( Z, Z )] )).
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 paramod(
% 4.04/4.44 clause( 49951, [ axiom( implies( implies( X, or( Y, Z ) ), or( Y, implies(
% 4.04/4.44 X, Z ) ) ) ) ] )
% 4.04/4.44 , clause( 5, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 4.04/4.44 , 0, clause( 49948, [ axiom( implies( or( not( X ), or( Y, Z ) ), or( Y,
% 4.04/4.44 implies( X, Z ) ) ) ) ] )
% 4.04/4.44 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, or( Y, Z ) )] ),
% 4.04/4.44 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 subsumption(
% 4.04/4.44 clause( 109, [ axiom( implies( implies( X, or( Y, Z ) ), or( Y, implies( X
% 4.04/4.44 , Z ) ) ) ) ] )
% 4.04/4.44 , clause( 49951, [ axiom( implies( implies( X, or( Y, Z ) ), or( Y, implies(
% 4.04/4.44 X, Z ) ) ) ) ] )
% 4.04/4.44 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.04/4.44 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 resolution(
% 4.04/4.44 clause( 49952, [ ~( theorem( or( p, not( not( not( p ) ) ) ) ) ) ] )
% 4.04/4.44 , clause( 8, [ ~( theorem( implies( not( not( p ) ), p ) ) ) ] )
% 4.04/4.44 , 0, clause( 99, [ theorem( implies( X, Y ) ), ~( theorem( or( Y, not( X )
% 4.04/4.44 ) ) ) ] )
% 4.04/4.44 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, not( not( p ) ) ),
% 4.04/4.44 :=( Y, p )] )).
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 subsumption(
% 4.04/4.44 clause( 8362, [ ~( theorem( or( p, not( not( not( p ) ) ) ) ) ) ] )
% 4.04/4.44 , clause( 49952, [ ~( theorem( or( p, not( not( not( p ) ) ) ) ) ) ] )
% 4.04/4.44 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 resolution(
% 4.04/4.44 clause( 49953, [ theorem( or( X, implies( Y, Y ) ) ) ] )
% 4.04/4.44 , clause( 74, [ theorem( X ), ~( axiom( implies( implies( Y, or( Z, Y ) ),
% 4.04/4.44 X ) ) ) ] )
% 4.04/4.44 , 1, clause( 109, [ axiom( implies( implies( X, or( Y, Z ) ), or( Y,
% 4.04/4.44 implies( X, Z ) ) ) ) ] )
% 4.04/4.44 , 0, substitution( 0, [ :=( X, or( X, implies( Y, Y ) ) ), :=( Y, Y ), :=(
% 4.04/4.44 Z, X )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Y )] )).
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 subsumption(
% 4.04/4.44 clause( 14408, [ theorem( or( X, implies( Y, Y ) ) ) ] )
% 4.04/4.44 , clause( 49953, [ theorem( or( X, implies( Y, Y ) ) ) ] )
% 4.04/4.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.04/4.44 )] ) ).
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 resolution(
% 4.04/4.44 clause( 49954, [ theorem( implies( X, X ) ) ] )
% 4.04/4.44 , clause( 16, [ theorem( X ), ~( theorem( or( X, X ) ) ) ] )
% 4.04/4.44 , 1, clause( 14408, [ theorem( or( X, implies( Y, Y ) ) ) ] )
% 4.04/4.44 , 0, substitution( 0, [ :=( X, implies( X, X ) )] ), substitution( 1, [
% 4.04/4.44 :=( X, implies( X, X ) ), :=( Y, X )] )).
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 subsumption(
% 4.04/4.44 clause( 14535, [ theorem( implies( X, X ) ) ] )
% 4.04/4.44 , clause( 49954, [ theorem( implies( X, X ) ) ] )
% 4.04/4.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 resolution(
% 4.04/4.44 clause( 49955, [ theorem( or( X, not( X ) ) ) ] )
% 4.04/4.44 , clause( 100, [ theorem( or( Y, not( X ) ) ), ~( theorem( implies( X, Y )
% 4.04/4.44 ) ) ] )
% 4.04/4.44 , 1, clause( 14535, [ theorem( implies( X, X ) ) ] )
% 4.04/4.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [ :=( X
% 4.04/4.44 , X )] )).
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 subsumption(
% 4.04/4.44 clause( 14557, [ theorem( or( X, not( X ) ) ) ] )
% 4.04/4.44 , clause( 49955, [ theorem( or( X, not( X ) ) ) ] )
% 4.04/4.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 resolution(
% 4.04/4.44 clause( 49956, [ theorem( X ), ~( theorem( implies( or( Y, not( Y ) ), X )
% 4.04/4.44 ) ) ] )
% 4.04/4.44 , clause( 7, [ theorem( X ), ~( theorem( implies( Y, X ) ) ), ~( theorem( Y
% 4.04/4.44 ) ) ] )
% 4.04/4.44 , 2, clause( 14557, [ theorem( or( X, not( X ) ) ) ] )
% 4.04/4.44 , 0, substitution( 0, [ :=( X, X ), :=( Y, or( Y, not( Y ) ) )] ),
% 4.04/4.44 substitution( 1, [ :=( X, Y )] )).
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 subsumption(
% 4.04/4.44 clause( 14759, [ theorem( X ), ~( theorem( implies( or( Y, not( Y ) ), X )
% 4.04/4.44 ) ) ] )
% 4.04/4.44 , clause( 49956, [ theorem( X ), ~( theorem( implies( or( Y, not( Y ) ), X
% 4.04/4.44 ) ) ) ] )
% 4.04/4.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.04/4.44 ), ==>( 1, 1 )] ) ).
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 paramod(
% 4.04/4.44 clause( 49958, [ theorem( implies( X, not( not( X ) ) ) ) ] )
% 4.04/4.44 , clause( 5, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 4.04/4.44 , 0, clause( 14557, [ theorem( or( X, not( X ) ) ) ] )
% 4.04/4.44 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, not( not( X ) ) )] ),
% 4.04/4.44 substitution( 1, [ :=( X, not( X ) )] )).
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 subsumption(
% 4.04/4.44 clause( 14760, [ theorem( implies( X, not( not( X ) ) ) ) ] )
% 4.04/4.44 , clause( 49958, [ theorem( implies( X, not( not( X ) ) ) ) ] )
% 4.04/4.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 resolution(
% 4.04/4.44 clause( 49959, [ theorem( or( X, Y ) ), ~( theorem( implies( not( X ), Y )
% 4.04/4.44 ) ) ] )
% 4.04/4.44 , clause( 14759, [ theorem( X ), ~( theorem( implies( or( Y, not( Y ) ), X
% 4.04/4.44 ) ) ) ] )
% 4.04/4.44 , 1, clause( 59, [ theorem( implies( or( X, Y ), or( X, Z ) ) ), ~( theorem(
% 4.04/4.44 implies( Y, Z ) ) ) ] )
% 4.04/4.44 , 0, substitution( 0, [ :=( X, or( X, Y ) ), :=( Y, X )] ), substitution( 1
% 4.04/4.44 , [ :=( X, X ), :=( Y, not( X ) ), :=( Z, Y )] )).
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 subsumption(
% 4.04/4.44 clause( 49636, [ theorem( or( X, Y ) ), ~( theorem( implies( not( X ), Y )
% 4.04/4.44 ) ) ] )
% 4.04/4.44 , clause( 49959, [ theorem( or( X, Y ) ), ~( theorem( implies( not( X ), Y
% 4.04/4.44 ) ) ) ] )
% 4.04/4.44 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.04/4.44 ), ==>( 1, 1 )] ) ).
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 resolution(
% 4.04/4.44 clause( 49960, [ ~( theorem( implies( not( p ), not( not( not( p ) ) ) ) )
% 4.04/4.44 ) ] )
% 4.04/4.44 , clause( 8362, [ ~( theorem( or( p, not( not( not( p ) ) ) ) ) ) ] )
% 4.04/4.44 , 0, clause( 49636, [ theorem( or( X, Y ) ), ~( theorem( implies( not( X )
% 4.04/4.44 , Y ) ) ) ] )
% 4.04/4.44 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, p ), :=( Y, not( not(
% 4.04/4.44 not( p ) ) ) )] )).
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 resolution(
% 4.04/4.44 clause( 49961, [] )
% 4.04/4.44 , clause( 49960, [ ~( theorem( implies( not( p ), not( not( not( p ) ) ) )
% 4.04/4.44 ) ) ] )
% 4.04/4.44 , 0, clause( 14760, [ theorem( implies( X, not( not( X ) ) ) ) ] )
% 4.04/4.44 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, not( p ) )] )).
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 subsumption(
% 4.04/4.44 clause( 49913, [] )
% 4.04/4.44 , clause( 49961, [] )
% 4.04/4.44 , substitution( 0, [] ), permutation( 0, [] ) ).
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 end.
% 4.04/4.44
% 4.04/4.44 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 4.04/4.44
% 4.04/4.44 Memory use:
% 4.04/4.44
% 4.04/4.44 space for terms: 757162
% 4.04/4.44 space for clauses: 2425573
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 clauses generated: 137726
% 4.04/4.44 clauses kept: 49914
% 4.04/4.44 clauses selected: 831
% 4.04/4.44 clauses deleted: 83
% 4.04/4.44 clauses inuse deleted: 0
% 4.04/4.44
% 4.04/4.44 subsentry: 2926503
% 4.04/4.44 literals s-matched: 1055658
% 4.04/4.44 literals matched: 976220
% 4.04/4.44 full subsumption: 452925
% 4.04/4.44
% 4.04/4.44 checksum: 1120945677
% 4.04/4.44
% 4.04/4.44
% 4.04/4.44 Bliksem ended
%------------------------------------------------------------------------------