TSTP Solution File: LCL211-10 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL211-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n025.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 07:51:46 EDT 2022
% Result : Unsatisfiable 216.04s 216.48s
% Output : Refutation 216.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LCL211-10 : TPTP v8.1.0. Released v7.5.0.
% 0.04/0.13 % Command : bliksem %s
% 0.12/0.33 % Computer : n025.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 : Sat Jul 2 21:19:10 EDT 2022
% 0.12/0.34 % CPUTime :
% 216.04/216.48 *** allocated 10000 integers for termspace/termends
% 216.04/216.48 *** allocated 10000 integers for clauses
% 216.04/216.48 *** allocated 10000 integers for justifications
% 216.04/216.48 Bliksem 1.12
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 Automatic Strategy Selection
% 216.04/216.48
% 216.04/216.48 Clauses:
% 216.04/216.48 [
% 216.04/216.48 [ =( ifeq( X, X, Y, Z ), Y ) ],
% 216.04/216.48 [ =( axiom( implies( or( X, X ), X ) ), true ) ],
% 216.04/216.48 [ =( axiom( implies( X, or( Y, X ) ) ), true ) ],
% 216.04/216.48 [ =( axiom( implies( or( X, Y ), or( Y, X ) ) ), true ) ],
% 216.04/216.48 [ =( axiom( implies( or( X, or( Y, Z ) ), or( Y, or( X, Z ) ) ) ), true
% 216.04/216.48 ) ],
% 216.04/216.48 [ =( axiom( implies( implies( X, Y ), implies( or( Z, X ), or( Z, Y ) )
% 216.04/216.48 ) ), true ) ],
% 216.04/216.48 [ =( implies( X, Y ), or( not( X ), Y ) ) ],
% 216.04/216.48 [ =( ifeq( axiom( X ), true, theorem( X ), true ), true ) ],
% 216.04/216.48 [ =( ifeq( theorem( implies( X, Y ) ), true, ifeq( theorem( X ), true,
% 216.04/216.48 theorem( Y ), true ), true ), true ) ],
% 216.04/216.48 [ ~( =( theorem( implies( not( q ), implies( or( p, q ), p ) ) ), true )
% 216.04/216.48 ) ]
% 216.04/216.48 ] .
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 percentage equality = 1.000000, percentage horn = 1.000000
% 216.04/216.48 This is a pure equality problem
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 Options Used:
% 216.04/216.48
% 216.04/216.48 useres = 1
% 216.04/216.48 useparamod = 1
% 216.04/216.48 useeqrefl = 1
% 216.04/216.48 useeqfact = 1
% 216.04/216.48 usefactor = 1
% 216.04/216.48 usesimpsplitting = 0
% 216.04/216.48 usesimpdemod = 5
% 216.04/216.48 usesimpres = 3
% 216.04/216.48
% 216.04/216.48 resimpinuse = 1000
% 216.04/216.48 resimpclauses = 20000
% 216.04/216.48 substype = eqrewr
% 216.04/216.48 backwardsubs = 1
% 216.04/216.48 selectoldest = 5
% 216.04/216.48
% 216.04/216.48 litorderings [0] = split
% 216.04/216.48 litorderings [1] = extend the termordering, first sorting on arguments
% 216.04/216.48
% 216.04/216.48 termordering = kbo
% 216.04/216.48
% 216.04/216.48 litapriori = 0
% 216.04/216.48 termapriori = 1
% 216.04/216.48 litaposteriori = 0
% 216.04/216.48 termaposteriori = 0
% 216.04/216.48 demodaposteriori = 0
% 216.04/216.48 ordereqreflfact = 0
% 216.04/216.48
% 216.04/216.48 litselect = negord
% 216.04/216.48
% 216.04/216.48 maxweight = 15
% 216.04/216.48 maxdepth = 30000
% 216.04/216.48 maxlength = 115
% 216.04/216.48 maxnrvars = 195
% 216.04/216.48 excuselevel = 1
% 216.04/216.48 increasemaxweight = 1
% 216.04/216.48
% 216.04/216.48 maxselected = 10000000
% 216.04/216.48 maxnrclauses = 10000000
% 216.04/216.48
% 216.04/216.48 showgenerated = 0
% 216.04/216.48 showkept = 0
% 216.04/216.48 showselected = 0
% 216.04/216.48 showdeleted = 0
% 216.04/216.48 showresimp = 1
% 216.04/216.48 showstatus = 2000
% 216.04/216.48
% 216.04/216.48 prologoutput = 1
% 216.04/216.48 nrgoals = 5000000
% 216.04/216.48 totalproof = 1
% 216.04/216.48
% 216.04/216.48 Symbols occurring in the translation:
% 216.04/216.48
% 216.04/216.48 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 216.04/216.48 . [1, 2] (w:1, o:25, a:1, s:1, b:0),
% 216.04/216.48 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 216.04/216.48 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 216.04/216.48 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 216.04/216.48 ifeq [42, 4] (w:1, o:52, a:1, s:1, b:0),
% 216.04/216.48 or [43, 2] (w:1, o:50, a:1, s:1, b:0),
% 216.04/216.48 implies [44, 2] (w:1, o:51, a:1, s:1, b:0),
% 216.04/216.48 axiom [45, 1] (w:1, o:22, a:1, s:1, b:0),
% 216.04/216.48 true [46, 0] (w:1, o:12, a:1, s:1, b:0),
% 216.04/216.48 not [49, 1] (w:1, o:23, a:1, s:1, b:0),
% 216.04/216.48 theorem [50, 1] (w:1, o:24, a:1, s:1, b:0),
% 216.04/216.48 q [51, 0] (w:1, o:16, a:1, s:1, b:0),
% 216.04/216.48 p [52, 0] (w:1, o:15, a:1, s:1, b:0).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 Starting Search:
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 Intermediate Status:
% 216.04/216.48 Generated: 51292
% 216.04/216.48 Kept: 2004
% 216.04/216.48 Inuse: 544
% 216.04/216.48 Deleted: 44
% 216.04/216.48 Deletedinuse: 5
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 Intermediate Status:
% 216.04/216.48 Generated: 125925
% 216.04/216.48 Kept: 4004
% 216.04/216.48 Inuse: 939
% 216.04/216.48 Deleted: 62
% 216.04/216.48 Deletedinuse: 10
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 Intermediate Status:
% 216.04/216.48 Generated: 605664
% 216.04/216.48 Kept: 6004
% 216.04/216.48 Inuse: 2033
% 216.04/216.48 Deleted: 133
% 216.04/216.48 Deletedinuse: 17
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 Intermediate Status:
% 216.04/216.48 Generated: 2549458
% 216.04/216.48 Kept: 8037
% 216.04/216.48 Inuse: 4357
% 216.04/216.48 Deleted: 324
% 216.04/216.48 Deletedinuse: 62
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 Intermediate Status:
% 216.04/216.48 Generated: 5570084
% 216.04/216.48 Kept: 10040
% 216.04/216.48 Inuse: 6714
% 216.04/216.48 Deleted: 476
% 216.04/216.48 Deletedinuse: 63
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48 Failed to find proof!
% 216.04/216.48 maxweight = 15
% 216.04/216.48 maxnrclauses = 10000000
% 216.04/216.48 Generated: 14062928
% 216.04/216.48 Kept: 10825
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 The strategy used was not complete!
% 216.04/216.48
% 216.04/216.48 Increased maxweight to 16
% 216.04/216.48
% 216.04/216.48 Starting Search:
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 Intermediate Status:
% 216.04/216.48 Generated: 24525
% 216.04/216.48 Kept: 2148
% 216.04/216.48 Inuse: 399
% 216.04/216.48 Deleted: 21
% 216.04/216.48 Deletedinuse: 2
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 Intermediate Status:
% 216.04/216.48 Generated: 83181
% 216.04/216.48 Kept: 4340
% 216.04/216.48 Inuse: 718
% 216.04/216.48 Deleted: 51
% 216.04/216.48 Deletedinuse: 9
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 Intermediate Status:
% 216.04/216.48 Generated: 170130
% 216.04/216.48 Kept: 6355
% 216.04/216.48 Inuse: 1009
% 216.04/216.48 Deleted: 55
% 216.04/216.48 Deletedinuse: 9
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 Intermediate Status:
% 216.04/216.48 Generated: 215698
% 216.04/216.48 Kept: 8563
% 216.04/216.48 Inuse: 1202
% 216.04/216.48 Deleted: 78
% 216.04/216.48 Deletedinuse: 12
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 Intermediate Status:
% 216.04/216.48 Generated: 397556
% 216.04/216.48 Kept: 10566
% 216.04/216.48 Inuse: 1730
% 216.04/216.48 Deleted: 114
% 216.04/216.48 Deletedinuse: 20
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 Intermediate Status:
% 216.04/216.48 Generated: 952730
% 216.04/216.48 Kept: 12569
% 216.04/216.48 Inuse: 2606
% 216.04/216.48 Deleted: 189
% 216.04/216.48 Deletedinuse: 20
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 Intermediate Status:
% 216.04/216.48 Generated: 2032021
% 216.04/216.48 Kept: 14574
% 216.04/216.48 Inuse: 4000
% 216.04/216.48 Deleted: 316
% 216.04/216.48 Deletedinuse: 54
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 Intermediate Status:
% 216.04/216.48 Generated: 2592612
% 216.04/216.48 Kept: 16574
% 216.04/216.48 Inuse: 4462
% 216.04/216.48 Deleted: 333
% 216.04/216.48 Deletedinuse: 64
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 Intermediate Status:
% 216.04/216.48 Generated: 2868679
% 216.04/216.48 Kept: 18574
% 216.04/216.48 Inuse: 4789
% 216.04/216.48 Deleted: 340
% 216.04/216.48 Deletedinuse: 64
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48 Resimplifying clauses:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 Intermediate Status:
% 216.04/216.48 Generated: 5268640
% 216.04/216.48 Kept: 20586
% 216.04/216.48 Inuse: 6528
% 216.04/216.48 Deleted: 831
% 216.04/216.48 Deletedinuse: 64
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 Intermediate Status:
% 216.04/216.48 Generated: 5942367
% 216.04/216.48 Kept: 22588
% 216.04/216.48 Inuse: 6927
% 216.04/216.48 Deleted: 845
% 216.04/216.48 Deletedinuse: 65
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 Intermediate Status:
% 216.04/216.48 Generated: 10482297
% 216.04/216.48 Kept: 24588
% 216.04/216.48 Inuse: 8635
% 216.04/216.48 Deleted: 856
% 216.04/216.48 Deletedinuse: 65
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 Intermediate Status:
% 216.04/216.48 Generated: 20513019
% 216.04/216.48 Kept: 26588
% 216.04/216.48 Inuse: 12475
% 216.04/216.48 Deleted: 888
% 216.04/216.48 Deletedinuse: 75
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 Intermediate Status:
% 216.04/216.48 Generated: 38233482
% 216.04/216.48 Kept: 28592
% 216.04/216.48 Inuse: 17228
% 216.04/216.48 Deleted: 1044
% 216.04/216.48 Deletedinuse: 85
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48 Failed to find proof!
% 216.04/216.48 maxweight = 16
% 216.04/216.48 maxnrclauses = 10000000
% 216.04/216.48 Generated: 106704162
% 216.04/216.48 Kept: 30588
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 The strategy used was not complete!
% 216.04/216.48
% 216.04/216.48 Increased maxweight to 17
% 216.04/216.48
% 216.04/216.48 Starting Search:
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 Intermediate Status:
% 216.04/216.48 Generated: 33749
% 216.04/216.48 Kept: 2003
% 216.04/216.48 Inuse: 428
% 216.04/216.48 Deleted: 19
% 216.04/216.48 Deletedinuse: 4
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 Intermediate Status:
% 216.04/216.48 Generated: 56825
% 216.04/216.48 Kept: 4009
% 216.04/216.48 Inuse: 592
% 216.04/216.48 Deleted: 37
% 216.04/216.48 Deletedinuse: 9
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 Intermediate Status:
% 216.04/216.48 Generated: 97583
% 216.04/216.48 Kept: 6014
% 216.04/216.48 Inuse: 772
% 216.04/216.48 Deleted: 63
% 216.04/216.48 Deletedinuse: 10
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 Intermediate Status:
% 216.04/216.48 Generated: 107348
% 216.04/216.48 Kept: 8319
% 216.04/216.48 Inuse: 804
% 216.04/216.48 Deleted: 65
% 216.04/216.48 Deletedinuse: 10
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 Intermediate Status:
% 216.04/216.48 Generated: 141160
% 216.04/216.48 Kept: 10329
% 216.04/216.48 Inuse: 955
% 216.04/216.48 Deleted: 65
% 216.04/216.48 Deletedinuse: 10
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 Intermediate Status:
% 216.04/216.48 Generated: 217332
% 216.04/216.48 Kept: 12333
% 216.04/216.48 Inuse: 1151
% 216.04/216.48 Deleted: 67
% 216.04/216.48 Deletedinuse: 10
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 Intermediate Status:
% 216.04/216.48 Generated: 274926
% 216.04/216.48 Kept: 14335
% 216.04/216.48 Inuse: 1280
% 216.04/216.48 Deleted: 70
% 216.04/216.48 Deletedinuse: 11
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 Intermediate Status:
% 216.04/216.48 Generated: 319444
% 216.04/216.48 Kept: 16351
% 216.04/216.48 Inuse: 1360
% 216.04/216.48 Deleted: 74
% 216.04/216.48 Deletedinuse: 12
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 Intermediate Status:
% 216.04/216.48 Generated: 363638
% 216.04/216.48 Kept: 18711
% 216.04/216.48 Inuse: 1445
% 216.04/216.48 Deleted: 74
% 216.04/216.48 Deletedinuse: 12
% 216.04/216.48
% 216.04/216.48 Resimplifying inuse:
% 216.04/216.48 Done
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 Bliksems!, er is een bewijs:
% 216.04/216.48 % SZS status Unsatisfiable
% 216.04/216.48 % SZS output start Refutation
% 216.04/216.48
% 216.04/216.48 clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 216.04/216.48 .
% 216.04/216.48 clause( 1, [ =( axiom( implies( or( X, X ), X ) ), true ) ] )
% 216.04/216.48 .
% 216.04/216.48 clause( 2, [ =( axiom( implies( X, or( Y, X ) ) ), true ) ] )
% 216.04/216.48 .
% 216.04/216.48 clause( 3, [ =( axiom( implies( or( X, Y ), or( Y, X ) ) ), true ) ] )
% 216.04/216.48 .
% 216.04/216.48 clause( 4, [ =( axiom( implies( or( X, or( Y, Z ) ), or( Y, or( X, Z ) ) )
% 216.04/216.48 ), true ) ] )
% 216.04/216.48 .
% 216.04/216.48 clause( 5, [ =( axiom( implies( implies( X, Y ), implies( or( Z, X ), or( Z
% 216.04/216.48 , Y ) ) ) ), true ) ] )
% 216.04/216.48 .
% 216.04/216.48 clause( 6, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 216.04/216.48 .
% 216.04/216.48 clause( 7, [ =( ifeq( axiom( X ), true, theorem( X ), true ), true ) ] )
% 216.04/216.48 .
% 216.04/216.48 clause( 8, [ =( ifeq( theorem( implies( X, Y ) ), true, ifeq( theorem( X )
% 216.04/216.48 , true, theorem( Y ), true ), true ), true ) ] )
% 216.04/216.48 .
% 216.04/216.48 clause( 9, [ ~( =( theorem( implies( not( q ), implies( or( p, q ), p ) ) )
% 216.04/216.48 , true ) ) ] )
% 216.04/216.48 .
% 216.04/216.48 clause( 14, [ =( theorem( implies( or( X, Y ), or( Y, X ) ) ), true ) ] )
% 216.04/216.48 .
% 216.04/216.48 clause( 15, [ =( theorem( implies( or( X, X ), X ) ), true ) ] )
% 216.04/216.48 .
% 216.04/216.48 clause( 17, [ =( theorem( implies( X, or( Y, X ) ) ), true ) ] )
% 216.04/216.48 .
% 216.04/216.48 clause( 19, [ =( theorem( implies( or( X, or( Y, Z ) ), or( Y, or( X, Z ) )
% 216.04/216.48 ) ), true ) ] )
% 216.04/216.48 .
% 216.04/216.48 clause( 22, [ =( theorem( implies( implies( X, Y ), or( Y, not( X ) ) ) ),
% 216.04/216.48 true ) ] )
% 216.04/216.48 .
% 216.04/216.48 clause( 25, [ =( theorem( implies( implies( X, Y ), implies( or( Z, X ), or(
% 216.04/216.48 Z, Y ) ) ) ), true ) ] )
% 216.04/216.48 .
% 216.04/216.48 clause( 29, [ =( ifeq( theorem( implies( X, Y ) ), true, theorem( or( Y,
% 216.04/216.48 not( X ) ) ), true ), true ) ] )
% 216.04/216.48 .
% 216.04/216.48 clause( 32, [ =( ifeq( theorem( or( X, Y ) ), true, theorem( or( Y, X ) ),
% 216.04/216.48 true ), true ) ] )
% 216.04/216.48 .
% 216.04/216.48 clause( 33, [ =( ifeq( theorem( implies( implies( or( X, Y ), or( Y, X ) )
% 216.04/216.48 , Z ) ), true, theorem( Z ), true ), true ) ] )
% 216.04/216.48 .
% 216.04/216.48 clause( 35, [ =( ifeq( theorem( implies( implies( or( X, X ), X ), Y ) ),
% 216.04/216.48 true, theorem( Y ), true ), true ) ] )
% 216.04/216.48 .
% 216.04/216.48 clause( 37, [ =( ifeq( theorem( implies( implies( X, or( Y, X ) ), Z ) ),
% 216.04/216.48 true, theorem( Z ), true ), true ) ] )
% 216.04/216.48 .
% 216.04/216.48 clause( 58, [ =( theorem( implies( implies( X, or( Y, Z ) ), or( Y, implies(
% 216.04/216.48 X, Z ) ) ) ), true ) ] )
% 216.04/216.48 .
% 216.04/216.48 clause( 102, [ =( ifeq( theorem( implies( X, Y ) ), true, theorem( implies(
% 216.04/216.48 or( Z, X ), or( Z, Y ) ) ), true ), true ) ] )
% 216.04/216.48 .
% 216.04/216.48 clause( 250, [ =( theorem( implies( or( Y, or( X, X ) ), or( Y, X ) ) ),
% 216.04/216.48 true ) ] )
% 216.04/216.48 .
% 216.04/216.48 clause( 261, [ =( theorem( implies( implies( X, or( Y, Y ) ), implies( X, Y
% 216.04/216.48 ) ) ), true ) ] )
% 216.04/216.48 .
% 216.04/216.48 clause( 406, [ =( theorem( implies( X, X ) ), true ) ] )
% 216.04/216.48 .
% 216.04/216.48 clause( 414, [ =( theorem( or( X, not( X ) ) ), true ) ] )
% 216.04/216.48 .
% 216.04/216.48 clause( 424, [ =( theorem( implies( X, not( not( X ) ) ) ), true ) ] )
% 216.04/216.48 .
% 216.04/216.48 clause( 490, [ =( theorem( or( Y, implies( or( X, Y ), X ) ) ), true ) ] )
% 216.04/216.48 .
% 216.04/216.48 clause( 547, [ =( theorem( or( implies( or( Y, X ), Y ), X ) ), true ) ] )
% 216.04/216.48 .
% 216.04/216.48 clause( 557, [ =( ifeq( theorem( implies( or( implies( or( X, Y ), X ), Y )
% 216.04/216.48 , Z ) ), true, theorem( Z ), true ), true ) ] )
% 216.04/216.48 .
% 216.04/216.48 clause( 1246, [ =( theorem( implies( or( Y, X ), or( Y, not( not( X ) ) ) )
% 216.04/216.48 ), true ) ] )
% 216.04/216.48 .
% 216.04/216.48 clause( 18854, [ =( theorem( or( implies( or( X, Y ), X ), not( not( Y ) )
% 216.04/216.48 ) ), true ) ] )
% 216.04/216.48 .
% 216.04/216.48 clause( 18935, [ =( theorem( implies( not( Y ), implies( or( X, Y ), X ) )
% 216.04/216.48 ), true ) ] )
% 216.04/216.48 .
% 216.04/216.48 clause( 18940, [] )
% 216.04/216.48 .
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 % SZS output end Refutation
% 216.04/216.48 found a proof!
% 216.04/216.48
% 216.04/216.48 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 216.04/216.48
% 216.04/216.48 initialclauses(
% 216.04/216.48 [ clause( 18942, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 216.04/216.48 , clause( 18943, [ =( axiom( implies( or( X, X ), X ) ), true ) ] )
% 216.04/216.48 , clause( 18944, [ =( axiom( implies( X, or( Y, X ) ) ), true ) ] )
% 216.04/216.48 , clause( 18945, [ =( axiom( implies( or( X, Y ), or( Y, X ) ) ), true ) ]
% 216.04/216.48 )
% 216.04/216.48 , clause( 18946, [ =( axiom( implies( or( X, or( Y, Z ) ), or( Y, or( X, Z
% 216.04/216.48 ) ) ) ), true ) ] )
% 216.04/216.48 , clause( 18947, [ =( axiom( implies( implies( X, Y ), implies( or( Z, X )
% 216.04/216.48 , or( Z, Y ) ) ) ), true ) ] )
% 216.04/216.48 , clause( 18948, [ =( implies( X, Y ), or( not( X ), Y ) ) ] )
% 216.04/216.48 , clause( 18949, [ =( ifeq( axiom( X ), true, theorem( X ), true ), true )
% 216.04/216.48 ] )
% 216.04/216.48 , clause( 18950, [ =( ifeq( theorem( implies( X, Y ) ), true, ifeq( theorem(
% 216.04/216.48 X ), true, theorem( Y ), true ), true ), true ) ] )
% 216.04/216.48 , clause( 18951, [ ~( =( theorem( implies( not( q ), implies( or( p, q ), p
% 216.04/216.48 ) ) ), true ) ) ] )
% 216.04/216.48 ] ).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 subsumption(
% 216.04/216.48 clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 216.04/216.48 , clause( 18942, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 216.04/216.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 216.04/216.48 permutation( 0, [ ==>( 0, 0 )] ) ).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 subsumption(
% 216.04/216.48 clause( 1, [ =( axiom( implies( or( X, X ), X ) ), true ) ] )
% 216.04/216.48 , clause( 18943, [ =( axiom( implies( or( X, X ), X ) ), true ) ] )
% 216.04/216.48 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 subsumption(
% 216.04/216.48 clause( 2, [ =( axiom( implies( X, or( Y, X ) ) ), true ) ] )
% 216.04/216.48 , clause( 18944, [ =( axiom( implies( X, or( Y, X ) ) ), true ) ] )
% 216.04/216.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 216.04/216.48 )] ) ).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 subsumption(
% 216.04/216.48 clause( 3, [ =( axiom( implies( or( X, Y ), or( Y, X ) ) ), true ) ] )
% 216.04/216.48 , clause( 18945, [ =( axiom( implies( or( X, Y ), or( Y, X ) ) ), true ) ]
% 216.04/216.48 )
% 216.04/216.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 216.04/216.48 )] ) ).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 subsumption(
% 216.04/216.48 clause( 4, [ =( axiom( implies( or( X, or( Y, Z ) ), or( Y, or( X, Z ) ) )
% 216.04/216.48 ), true ) ] )
% 216.04/216.48 , clause( 18946, [ =( axiom( implies( or( X, or( Y, Z ) ), or( Y, or( X, Z
% 216.04/216.48 ) ) ) ), true ) ] )
% 216.04/216.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 216.04/216.48 permutation( 0, [ ==>( 0, 0 )] ) ).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 subsumption(
% 216.04/216.48 clause( 5, [ =( axiom( implies( implies( X, Y ), implies( or( Z, X ), or( Z
% 216.04/216.48 , Y ) ) ) ), true ) ] )
% 216.04/216.48 , clause( 18947, [ =( axiom( implies( implies( X, Y ), implies( or( Z, X )
% 216.04/216.48 , or( Z, Y ) ) ) ), true ) ] )
% 216.04/216.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 216.04/216.48 permutation( 0, [ ==>( 0, 0 )] ) ).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 18979, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 216.04/216.48 , clause( 18948, [ =( implies( X, Y ), or( not( X ), Y ) ) ] )
% 216.04/216.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 subsumption(
% 216.04/216.48 clause( 6, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 216.04/216.48 , clause( 18979, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 216.04/216.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 216.04/216.48 )] ) ).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 subsumption(
% 216.04/216.48 clause( 7, [ =( ifeq( axiom( X ), true, theorem( X ), true ), true ) ] )
% 216.04/216.48 , clause( 18949, [ =( ifeq( axiom( X ), true, theorem( X ), true ), true )
% 216.04/216.48 ] )
% 216.04/216.48 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 subsumption(
% 216.04/216.48 clause( 8, [ =( ifeq( theorem( implies( X, Y ) ), true, ifeq( theorem( X )
% 216.04/216.48 , true, theorem( Y ), true ), true ), true ) ] )
% 216.04/216.48 , clause( 18950, [ =( ifeq( theorem( implies( X, Y ) ), true, ifeq( theorem(
% 216.04/216.48 X ), true, theorem( Y ), true ), true ), true ) ] )
% 216.04/216.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 216.04/216.48 )] ) ).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 subsumption(
% 216.04/216.48 clause( 9, [ ~( =( theorem( implies( not( q ), implies( or( p, q ), p ) ) )
% 216.04/216.48 , true ) ) ] )
% 216.04/216.48 , clause( 18951, [ ~( =( theorem( implies( not( q ), implies( or( p, q ), p
% 216.04/216.48 ) ) ), true ) ) ] )
% 216.04/216.48 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 19008, [ =( true, ifeq( axiom( X ), true, theorem( X ), true ) ) ]
% 216.04/216.48 )
% 216.04/216.48 , clause( 7, [ =( ifeq( axiom( X ), true, theorem( X ), true ), true ) ] )
% 216.04/216.48 , 0, substitution( 0, [ :=( X, X )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 paramod(
% 216.04/216.48 clause( 19010, [ =( true, ifeq( true, true, theorem( implies( or( X, Y ),
% 216.04/216.48 or( Y, X ) ) ), true ) ) ] )
% 216.04/216.48 , clause( 3, [ =( axiom( implies( or( X, Y ), or( Y, X ) ) ), true ) ] )
% 216.04/216.48 , 0, clause( 19008, [ =( true, ifeq( axiom( X ), true, theorem( X ), true )
% 216.04/216.48 ) ] )
% 216.04/216.48 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 216.04/216.48 :=( X, implies( or( X, Y ), or( Y, X ) ) )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 paramod(
% 216.04/216.48 clause( 19011, [ =( true, theorem( implies( or( X, Y ), or( Y, X ) ) ) ) ]
% 216.04/216.48 )
% 216.04/216.48 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 216.04/216.48 , 0, clause( 19010, [ =( true, ifeq( true, true, theorem( implies( or( X, Y
% 216.04/216.48 ), or( Y, X ) ) ), true ) ) ] )
% 216.04/216.48 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, theorem( implies( or( X, Y
% 216.04/216.48 ), or( Y, X ) ) ) ), :=( Z, true )] ), substitution( 1, [ :=( X, X ),
% 216.04/216.48 :=( Y, Y )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 19012, [ =( theorem( implies( or( X, Y ), or( Y, X ) ) ), true ) ]
% 216.04/216.48 )
% 216.04/216.48 , clause( 19011, [ =( true, theorem( implies( or( X, Y ), or( Y, X ) ) ) )
% 216.04/216.48 ] )
% 216.04/216.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 subsumption(
% 216.04/216.48 clause( 14, [ =( theorem( implies( or( X, Y ), or( Y, X ) ) ), true ) ] )
% 216.04/216.48 , clause( 19012, [ =( theorem( implies( or( X, Y ), or( Y, X ) ) ), true )
% 216.04/216.48 ] )
% 216.04/216.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 216.04/216.48 )] ) ).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 19014, [ =( true, ifeq( axiom( X ), true, theorem( X ), true ) ) ]
% 216.04/216.48 )
% 216.04/216.48 , clause( 7, [ =( ifeq( axiom( X ), true, theorem( X ), true ), true ) ] )
% 216.04/216.48 , 0, substitution( 0, [ :=( X, X )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 paramod(
% 216.04/216.48 clause( 19016, [ =( true, ifeq( true, true, theorem( implies( or( X, X ), X
% 216.04/216.48 ) ), true ) ) ] )
% 216.04/216.48 , clause( 1, [ =( axiom( implies( or( X, X ), X ) ), true ) ] )
% 216.04/216.48 , 0, clause( 19014, [ =( true, ifeq( axiom( X ), true, theorem( X ), true )
% 216.04/216.48 ) ] )
% 216.04/216.48 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, implies(
% 216.04/216.48 or( X, X ), X ) )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 paramod(
% 216.04/216.48 clause( 19017, [ =( true, theorem( implies( or( X, X ), X ) ) ) ] )
% 216.04/216.48 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 216.04/216.48 , 0, clause( 19016, [ =( true, ifeq( true, true, theorem( implies( or( X, X
% 216.04/216.48 ), X ) ), true ) ) ] )
% 216.04/216.48 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, theorem( implies( or( X, X
% 216.04/216.48 ), X ) ) ), :=( Z, true )] ), substitution( 1, [ :=( X, X )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 19018, [ =( theorem( implies( or( X, X ), X ) ), true ) ] )
% 216.04/216.48 , clause( 19017, [ =( true, theorem( implies( or( X, X ), X ) ) ) ] )
% 216.04/216.48 , 0, substitution( 0, [ :=( X, X )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 subsumption(
% 216.04/216.48 clause( 15, [ =( theorem( implies( or( X, X ), X ) ), true ) ] )
% 216.04/216.48 , clause( 19018, [ =( theorem( implies( or( X, X ), X ) ), true ) ] )
% 216.04/216.48 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 19020, [ =( true, ifeq( axiom( X ), true, theorem( X ), true ) ) ]
% 216.04/216.48 )
% 216.04/216.48 , clause( 7, [ =( ifeq( axiom( X ), true, theorem( X ), true ), true ) ] )
% 216.04/216.48 , 0, substitution( 0, [ :=( X, X )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 paramod(
% 216.04/216.48 clause( 19022, [ =( true, ifeq( true, true, theorem( implies( X, or( Y, X )
% 216.04/216.48 ) ), true ) ) ] )
% 216.04/216.48 , clause( 2, [ =( axiom( implies( X, or( Y, X ) ) ), true ) ] )
% 216.04/216.48 , 0, clause( 19020, [ =( true, ifeq( axiom( X ), true, theorem( X ), true )
% 216.04/216.48 ) ] )
% 216.04/216.48 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 216.04/216.48 :=( X, implies( X, or( Y, X ) ) )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 paramod(
% 216.04/216.48 clause( 19023, [ =( true, theorem( implies( X, or( Y, X ) ) ) ) ] )
% 216.04/216.48 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 216.04/216.48 , 0, clause( 19022, [ =( true, ifeq( true, true, theorem( implies( X, or( Y
% 216.04/216.48 , X ) ) ), true ) ) ] )
% 216.04/216.48 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, theorem( implies( X, or( Y
% 216.04/216.48 , X ) ) ) ), :=( Z, true )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 216.04/216.48 ).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 19024, [ =( theorem( implies( X, or( Y, X ) ) ), true ) ] )
% 216.04/216.48 , clause( 19023, [ =( true, theorem( implies( X, or( Y, X ) ) ) ) ] )
% 216.04/216.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 subsumption(
% 216.04/216.48 clause( 17, [ =( theorem( implies( X, or( Y, X ) ) ), true ) ] )
% 216.04/216.48 , clause( 19024, [ =( theorem( implies( X, or( Y, X ) ) ), true ) ] )
% 216.04/216.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 216.04/216.48 )] ) ).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 19026, [ =( true, ifeq( axiom( X ), true, theorem( X ), true ) ) ]
% 216.04/216.48 )
% 216.04/216.48 , clause( 7, [ =( ifeq( axiom( X ), true, theorem( X ), true ), true ) ] )
% 216.04/216.48 , 0, substitution( 0, [ :=( X, X )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 paramod(
% 216.04/216.48 clause( 19028, [ =( true, ifeq( true, true, theorem( implies( or( X, or( Y
% 216.04/216.48 , Z ) ), or( Y, or( X, Z ) ) ) ), true ) ) ] )
% 216.04/216.48 , clause( 4, [ =( axiom( implies( or( X, or( Y, Z ) ), or( Y, or( X, Z ) )
% 216.04/216.48 ) ), true ) ] )
% 216.04/216.48 , 0, clause( 19026, [ =( true, ifeq( axiom( X ), true, theorem( X ), true )
% 216.04/216.48 ) ] )
% 216.04/216.48 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 216.04/216.48 substitution( 1, [ :=( X, implies( or( X, or( Y, Z ) ), or( Y, or( X, Z )
% 216.04/216.48 ) ) )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 paramod(
% 216.04/216.48 clause( 19029, [ =( true, theorem( implies( or( X, or( Y, Z ) ), or( Y, or(
% 216.04/216.48 X, Z ) ) ) ) ) ] )
% 216.04/216.48 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 216.04/216.48 , 0, clause( 19028, [ =( true, ifeq( true, true, theorem( implies( or( X,
% 216.04/216.48 or( Y, Z ) ), or( Y, or( X, Z ) ) ) ), true ) ) ] )
% 216.04/216.48 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, theorem( implies( or( X,
% 216.04/216.48 or( Y, Z ) ), or( Y, or( X, Z ) ) ) ) ), :=( Z, true )] ), substitution(
% 216.04/216.48 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 19030, [ =( theorem( implies( or( X, or( Y, Z ) ), or( Y, or( X, Z
% 216.04/216.48 ) ) ) ), true ) ] )
% 216.04/216.48 , clause( 19029, [ =( true, theorem( implies( or( X, or( Y, Z ) ), or( Y,
% 216.04/216.48 or( X, Z ) ) ) ) ) ] )
% 216.04/216.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 subsumption(
% 216.04/216.48 clause( 19, [ =( theorem( implies( or( X, or( Y, Z ) ), or( Y, or( X, Z ) )
% 216.04/216.48 ) ), true ) ] )
% 216.04/216.48 , clause( 19030, [ =( theorem( implies( or( X, or( Y, Z ) ), or( Y, or( X,
% 216.04/216.48 Z ) ) ) ), true ) ] )
% 216.04/216.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 216.04/216.48 permutation( 0, [ ==>( 0, 0 )] ) ).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 19032, [ =( true, theorem( implies( or( X, Y ), or( Y, X ) ) ) ) ]
% 216.04/216.48 )
% 216.04/216.48 , clause( 14, [ =( theorem( implies( or( X, Y ), or( Y, X ) ) ), true ) ]
% 216.04/216.48 )
% 216.04/216.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 paramod(
% 216.04/216.48 clause( 19033, [ =( true, theorem( implies( implies( X, Y ), or( Y, not( X
% 216.04/216.48 ) ) ) ) ) ] )
% 216.04/216.48 , clause( 6, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 216.04/216.48 , 0, clause( 19032, [ =( true, theorem( implies( or( X, Y ), or( Y, X ) ) )
% 216.04/216.48 ) ] )
% 216.04/216.48 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 216.04/216.48 :=( X, not( X ) ), :=( Y, Y )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 19035, [ =( theorem( implies( implies( X, Y ), or( Y, not( X ) ) )
% 216.04/216.48 ), true ) ] )
% 216.04/216.48 , clause( 19033, [ =( true, theorem( implies( implies( X, Y ), or( Y, not(
% 216.04/216.48 X ) ) ) ) ) ] )
% 216.04/216.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 subsumption(
% 216.04/216.48 clause( 22, [ =( theorem( implies( implies( X, Y ), or( Y, not( X ) ) ) ),
% 216.04/216.48 true ) ] )
% 216.04/216.48 , clause( 19035, [ =( theorem( implies( implies( X, Y ), or( Y, not( X ) )
% 216.04/216.48 ) ), true ) ] )
% 216.04/216.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 216.04/216.48 )] ) ).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 19038, [ =( true, ifeq( axiom( X ), true, theorem( X ), true ) ) ]
% 216.04/216.48 )
% 216.04/216.48 , clause( 7, [ =( ifeq( axiom( X ), true, theorem( X ), true ), true ) ] )
% 216.04/216.48 , 0, substitution( 0, [ :=( X, X )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 paramod(
% 216.04/216.48 clause( 19040, [ =( true, ifeq( true, true, theorem( implies( implies( X, Y
% 216.04/216.48 ), implies( or( Z, X ), or( Z, Y ) ) ) ), true ) ) ] )
% 216.04/216.48 , clause( 5, [ =( axiom( implies( implies( X, Y ), implies( or( Z, X ), or(
% 216.04/216.48 Z, Y ) ) ) ), true ) ] )
% 216.04/216.48 , 0, clause( 19038, [ =( true, ifeq( axiom( X ), true, theorem( X ), true )
% 216.04/216.48 ) ] )
% 216.04/216.48 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 216.04/216.48 substitution( 1, [ :=( X, implies( implies( X, Y ), implies( or( Z, X ),
% 216.04/216.48 or( Z, Y ) ) ) )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 paramod(
% 216.04/216.48 clause( 19041, [ =( true, theorem( implies( implies( X, Y ), implies( or( Z
% 216.04/216.48 , X ), or( Z, Y ) ) ) ) ) ] )
% 216.04/216.48 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 216.04/216.48 , 0, clause( 19040, [ =( true, ifeq( true, true, theorem( implies( implies(
% 216.04/216.48 X, Y ), implies( or( Z, X ), or( Z, Y ) ) ) ), true ) ) ] )
% 216.04/216.48 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, theorem( implies( implies(
% 216.04/216.48 X, Y ), implies( or( Z, X ), or( Z, Y ) ) ) ) ), :=( Z, true )] ),
% 216.04/216.48 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 19042, [ =( theorem( implies( implies( X, Y ), implies( or( Z, X )
% 216.04/216.48 , or( Z, Y ) ) ) ), true ) ] )
% 216.04/216.48 , clause( 19041, [ =( true, theorem( implies( implies( X, Y ), implies( or(
% 216.04/216.48 Z, X ), or( Z, Y ) ) ) ) ) ] )
% 216.04/216.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 subsumption(
% 216.04/216.48 clause( 25, [ =( theorem( implies( implies( X, Y ), implies( or( Z, X ), or(
% 216.04/216.48 Z, Y ) ) ) ), true ) ] )
% 216.04/216.48 , clause( 19042, [ =( theorem( implies( implies( X, Y ), implies( or( Z, X
% 216.04/216.48 ), or( Z, Y ) ) ) ), true ) ] )
% 216.04/216.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 216.04/216.48 permutation( 0, [ ==>( 0, 0 )] ) ).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 19044, [ =( true, ifeq( theorem( implies( X, Y ) ), true, ifeq(
% 216.04/216.48 theorem( X ), true, theorem( Y ), true ), true ) ) ] )
% 216.04/216.48 , clause( 8, [ =( ifeq( theorem( implies( X, Y ) ), true, ifeq( theorem( X
% 216.04/216.48 ), true, theorem( Y ), true ), true ), true ) ] )
% 216.04/216.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 paramod(
% 216.04/216.48 clause( 19046, [ =( true, ifeq( true, true, ifeq( theorem( implies( X, Y )
% 216.04/216.48 ), true, theorem( or( Y, not( X ) ) ), true ), true ) ) ] )
% 216.04/216.48 , clause( 22, [ =( theorem( implies( implies( X, Y ), or( Y, not( X ) ) ) )
% 216.04/216.48 , true ) ] )
% 216.04/216.48 , 0, clause( 19044, [ =( true, ifeq( theorem( implies( X, Y ) ), true, ifeq(
% 216.04/216.48 theorem( X ), true, theorem( Y ), true ), true ) ) ] )
% 216.04/216.48 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 216.04/216.48 :=( X, implies( X, Y ) ), :=( Y, or( Y, not( X ) ) )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 paramod(
% 216.04/216.48 clause( 19051, [ =( true, ifeq( theorem( implies( X, Y ) ), true, theorem(
% 216.04/216.48 or( Y, not( X ) ) ), true ) ) ] )
% 216.04/216.48 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 216.04/216.48 , 0, clause( 19046, [ =( true, ifeq( true, true, ifeq( theorem( implies( X
% 216.04/216.48 , Y ) ), true, theorem( or( Y, not( X ) ) ), true ), true ) ) ] )
% 216.04/216.48 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, ifeq( theorem( implies( X
% 216.04/216.48 , Y ) ), true, theorem( or( Y, not( X ) ) ), true ) ), :=( Z, true )] ),
% 216.04/216.48 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 19052, [ =( ifeq( theorem( implies( X, Y ) ), true, theorem( or( Y
% 216.04/216.48 , not( X ) ) ), true ), true ) ] )
% 216.04/216.48 , clause( 19051, [ =( true, ifeq( theorem( implies( X, Y ) ), true, theorem(
% 216.04/216.48 or( Y, not( X ) ) ), true ) ) ] )
% 216.04/216.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 subsumption(
% 216.04/216.48 clause( 29, [ =( ifeq( theorem( implies( X, Y ) ), true, theorem( or( Y,
% 216.04/216.48 not( X ) ) ), true ), true ) ] )
% 216.04/216.48 , clause( 19052, [ =( ifeq( theorem( implies( X, Y ) ), true, theorem( or(
% 216.04/216.48 Y, not( X ) ) ), true ), true ) ] )
% 216.04/216.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 216.04/216.48 )] ) ).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 19054, [ =( true, ifeq( theorem( implies( X, Y ) ), true, ifeq(
% 216.04/216.48 theorem( X ), true, theorem( Y ), true ), true ) ) ] )
% 216.04/216.48 , clause( 8, [ =( ifeq( theorem( implies( X, Y ) ), true, ifeq( theorem( X
% 216.04/216.48 ), true, theorem( Y ), true ), true ), true ) ] )
% 216.04/216.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 paramod(
% 216.04/216.48 clause( 19056, [ =( true, ifeq( true, true, ifeq( theorem( or( X, Y ) ),
% 216.04/216.48 true, theorem( or( Y, X ) ), true ), true ) ) ] )
% 216.04/216.48 , clause( 14, [ =( theorem( implies( or( X, Y ), or( Y, X ) ) ), true ) ]
% 216.04/216.48 )
% 216.04/216.48 , 0, clause( 19054, [ =( true, ifeq( theorem( implies( X, Y ) ), true, ifeq(
% 216.04/216.48 theorem( X ), true, theorem( Y ), true ), true ) ) ] )
% 216.04/216.48 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 216.04/216.48 :=( X, or( X, Y ) ), :=( Y, or( Y, X ) )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 paramod(
% 216.04/216.48 clause( 19061, [ =( true, ifeq( theorem( or( X, Y ) ), true, theorem( or( Y
% 216.04/216.48 , X ) ), true ) ) ] )
% 216.04/216.48 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 216.04/216.48 , 0, clause( 19056, [ =( true, ifeq( true, true, ifeq( theorem( or( X, Y )
% 216.04/216.48 ), true, theorem( or( Y, X ) ), true ), true ) ) ] )
% 216.04/216.48 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, ifeq( theorem( or( X, Y )
% 216.04/216.48 ), true, theorem( or( Y, X ) ), true ) ), :=( Z, true )] ),
% 216.04/216.48 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 19062, [ =( ifeq( theorem( or( X, Y ) ), true, theorem( or( Y, X )
% 216.04/216.48 ), true ), true ) ] )
% 216.04/216.48 , clause( 19061, [ =( true, ifeq( theorem( or( X, Y ) ), true, theorem( or(
% 216.04/216.48 Y, X ) ), true ) ) ] )
% 216.04/216.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 subsumption(
% 216.04/216.48 clause( 32, [ =( ifeq( theorem( or( X, Y ) ), true, theorem( or( Y, X ) ),
% 216.04/216.48 true ), true ) ] )
% 216.04/216.48 , clause( 19062, [ =( ifeq( theorem( or( X, Y ) ), true, theorem( or( Y, X
% 216.04/216.48 ) ), true ), true ) ] )
% 216.04/216.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 216.04/216.48 )] ) ).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 19064, [ =( true, ifeq( theorem( implies( X, Y ) ), true, ifeq(
% 216.04/216.48 theorem( X ), true, theorem( Y ), true ), true ) ) ] )
% 216.04/216.48 , clause( 8, [ =( ifeq( theorem( implies( X, Y ) ), true, ifeq( theorem( X
% 216.04/216.48 ), true, theorem( Y ), true ), true ), true ) ] )
% 216.04/216.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 paramod(
% 216.04/216.48 clause( 19067, [ =( true, ifeq( theorem( implies( implies( or( X, Y ), or(
% 216.04/216.48 Y, X ) ), Z ) ), true, ifeq( true, true, theorem( Z ), true ), true ) ) ]
% 216.04/216.48 )
% 216.04/216.48 , clause( 14, [ =( theorem( implies( or( X, Y ), or( Y, X ) ) ), true ) ]
% 216.04/216.48 )
% 216.04/216.48 , 0, clause( 19064, [ =( true, ifeq( theorem( implies( X, Y ) ), true, ifeq(
% 216.04/216.48 theorem( X ), true, theorem( Y ), true ), true ) ) ] )
% 216.04/216.48 , 0, 15, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 216.04/216.48 :=( X, implies( or( X, Y ), or( Y, X ) ) ), :=( Y, Z )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 paramod(
% 216.04/216.48 clause( 19069, [ =( true, ifeq( theorem( implies( implies( or( X, Y ), or(
% 216.04/216.48 Y, X ) ), Z ) ), true, theorem( Z ), true ) ) ] )
% 216.04/216.48 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 216.04/216.48 , 0, clause( 19067, [ =( true, ifeq( theorem( implies( implies( or( X, Y )
% 216.04/216.48 , or( Y, X ) ), Z ) ), true, ifeq( true, true, theorem( Z ), true ), true
% 216.04/216.48 ) ) ] )
% 216.04/216.48 , 0, 14, substitution( 0, [ :=( X, true ), :=( Y, theorem( Z ) ), :=( Z,
% 216.04/216.48 true )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 19070, [ =( ifeq( theorem( implies( implies( or( X, Y ), or( Y, X )
% 216.04/216.48 ), Z ) ), true, theorem( Z ), true ), true ) ] )
% 216.04/216.48 , clause( 19069, [ =( true, ifeq( theorem( implies( implies( or( X, Y ), or(
% 216.04/216.48 Y, X ) ), Z ) ), true, theorem( Z ), true ) ) ] )
% 216.04/216.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 subsumption(
% 216.04/216.48 clause( 33, [ =( ifeq( theorem( implies( implies( or( X, Y ), or( Y, X ) )
% 216.04/216.48 , Z ) ), true, theorem( Z ), true ), true ) ] )
% 216.04/216.48 , clause( 19070, [ =( ifeq( theorem( implies( implies( or( X, Y ), or( Y, X
% 216.04/216.48 ) ), Z ) ), true, theorem( Z ), true ), true ) ] )
% 216.04/216.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 216.04/216.48 permutation( 0, [ ==>( 0, 0 )] ) ).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 19072, [ =( true, ifeq( theorem( implies( X, Y ) ), true, ifeq(
% 216.04/216.48 theorem( X ), true, theorem( Y ), true ), true ) ) ] )
% 216.04/216.48 , clause( 8, [ =( ifeq( theorem( implies( X, Y ) ), true, ifeq( theorem( X
% 216.04/216.48 ), true, theorem( Y ), true ), true ), true ) ] )
% 216.04/216.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 paramod(
% 216.04/216.48 clause( 19075, [ =( true, ifeq( theorem( implies( implies( or( X, X ), X )
% 216.04/216.48 , Y ) ), true, ifeq( true, true, theorem( Y ), true ), true ) ) ] )
% 216.04/216.48 , clause( 15, [ =( theorem( implies( or( X, X ), X ) ), true ) ] )
% 216.04/216.48 , 0, clause( 19072, [ =( true, ifeq( theorem( implies( X, Y ) ), true, ifeq(
% 216.04/216.48 theorem( X ), true, theorem( Y ), true ), true ) ) ] )
% 216.04/216.48 , 0, 13, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 216.04/216.48 implies( or( X, X ), X ) ), :=( Y, Y )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 paramod(
% 216.04/216.48 clause( 19077, [ =( true, ifeq( theorem( implies( implies( or( X, X ), X )
% 216.04/216.48 , Y ) ), true, theorem( Y ), true ) ) ] )
% 216.04/216.48 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 216.04/216.48 , 0, clause( 19075, [ =( true, ifeq( theorem( implies( implies( or( X, X )
% 216.04/216.48 , X ), Y ) ), true, ifeq( true, true, theorem( Y ), true ), true ) ) ] )
% 216.04/216.48 , 0, 12, substitution( 0, [ :=( X, true ), :=( Y, theorem( Y ) ), :=( Z,
% 216.04/216.48 true )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 19078, [ =( ifeq( theorem( implies( implies( or( X, X ), X ), Y ) )
% 216.04/216.48 , true, theorem( Y ), true ), true ) ] )
% 216.04/216.48 , clause( 19077, [ =( true, ifeq( theorem( implies( implies( or( X, X ), X
% 216.04/216.48 ), Y ) ), true, theorem( Y ), true ) ) ] )
% 216.04/216.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 subsumption(
% 216.04/216.48 clause( 35, [ =( ifeq( theorem( implies( implies( or( X, X ), X ), Y ) ),
% 216.04/216.48 true, theorem( Y ), true ), true ) ] )
% 216.04/216.48 , clause( 19078, [ =( ifeq( theorem( implies( implies( or( X, X ), X ), Y )
% 216.04/216.48 ), true, theorem( Y ), true ), true ) ] )
% 216.04/216.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 216.04/216.48 )] ) ).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 19080, [ =( true, ifeq( theorem( implies( X, Y ) ), true, ifeq(
% 216.04/216.48 theorem( X ), true, theorem( Y ), true ), true ) ) ] )
% 216.04/216.48 , clause( 8, [ =( ifeq( theorem( implies( X, Y ) ), true, ifeq( theorem( X
% 216.04/216.48 ), true, theorem( Y ), true ), true ), true ) ] )
% 216.04/216.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 paramod(
% 216.04/216.48 clause( 19083, [ =( true, ifeq( theorem( implies( implies( X, or( Y, X ) )
% 216.04/216.48 , Z ) ), true, ifeq( true, true, theorem( Z ), true ), true ) ) ] )
% 216.04/216.48 , clause( 17, [ =( theorem( implies( X, or( Y, X ) ) ), true ) ] )
% 216.04/216.48 , 0, clause( 19080, [ =( true, ifeq( theorem( implies( X, Y ) ), true, ifeq(
% 216.04/216.48 theorem( X ), true, theorem( Y ), true ), true ) ) ] )
% 216.04/216.48 , 0, 13, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 216.04/216.48 :=( X, implies( X, or( Y, X ) ) ), :=( Y, Z )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 paramod(
% 216.04/216.48 clause( 19085, [ =( true, ifeq( theorem( implies( implies( X, or( Y, X ) )
% 216.04/216.48 , Z ) ), true, theorem( Z ), true ) ) ] )
% 216.04/216.48 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 216.04/216.48 , 0, clause( 19083, [ =( true, ifeq( theorem( implies( implies( X, or( Y, X
% 216.04/216.48 ) ), Z ) ), true, ifeq( true, true, theorem( Z ), true ), true ) ) ] )
% 216.04/216.48 , 0, 12, substitution( 0, [ :=( X, true ), :=( Y, theorem( Z ) ), :=( Z,
% 216.04/216.48 true )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 19086, [ =( ifeq( theorem( implies( implies( X, or( Y, X ) ), Z ) )
% 216.04/216.48 , true, theorem( Z ), true ), true ) ] )
% 216.04/216.48 , clause( 19085, [ =( true, ifeq( theorem( implies( implies( X, or( Y, X )
% 216.04/216.48 ), Z ) ), true, theorem( Z ), true ) ) ] )
% 216.04/216.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 subsumption(
% 216.04/216.48 clause( 37, [ =( ifeq( theorem( implies( implies( X, or( Y, X ) ), Z ) ),
% 216.04/216.48 true, theorem( Z ), true ), true ) ] )
% 216.04/216.48 , clause( 19086, [ =( ifeq( theorem( implies( implies( X, or( Y, X ) ), Z )
% 216.04/216.48 ), true, theorem( Z ), true ), true ) ] )
% 216.04/216.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 216.04/216.48 permutation( 0, [ ==>( 0, 0 )] ) ).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 19088, [ =( true, theorem( implies( or( X, or( Y, Z ) ), or( Y, or(
% 216.04/216.48 X, Z ) ) ) ) ) ] )
% 216.04/216.48 , clause( 19, [ =( theorem( implies( or( X, or( Y, Z ) ), or( Y, or( X, Z )
% 216.04/216.48 ) ) ), true ) ] )
% 216.04/216.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 paramod(
% 216.04/216.48 clause( 19093, [ =( true, theorem( implies( or( not( X ), or( Y, Z ) ), or(
% 216.04/216.48 Y, implies( X, Z ) ) ) ) ) ] )
% 216.04/216.48 , clause( 6, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 216.04/216.48 , 0, clause( 19088, [ =( true, theorem( implies( or( X, or( Y, Z ) ), or( Y
% 216.04/216.48 , or( X, Z ) ) ) ) ) ] )
% 216.04/216.48 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [
% 216.04/216.48 :=( X, not( X ) ), :=( Y, Y ), :=( Z, Z )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 paramod(
% 216.04/216.48 clause( 19096, [ =( true, theorem( implies( implies( X, or( Y, Z ) ), or( Y
% 216.04/216.48 , implies( X, Z ) ) ) ) ) ] )
% 216.04/216.48 , clause( 6, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 216.04/216.48 , 0, clause( 19093, [ =( true, theorem( implies( or( not( X ), or( Y, Z ) )
% 216.04/216.48 , or( Y, implies( X, Z ) ) ) ) ) ] )
% 216.04/216.48 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, or( Y, Z ) )] ),
% 216.04/216.48 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 19097, [ =( theorem( implies( implies( X, or( Y, Z ) ), or( Y,
% 216.04/216.48 implies( X, Z ) ) ) ), true ) ] )
% 216.04/216.48 , clause( 19096, [ =( true, theorem( implies( implies( X, or( Y, Z ) ), or(
% 216.04/216.48 Y, implies( X, Z ) ) ) ) ) ] )
% 216.04/216.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 subsumption(
% 216.04/216.48 clause( 58, [ =( theorem( implies( implies( X, or( Y, Z ) ), or( Y, implies(
% 216.04/216.48 X, Z ) ) ) ), true ) ] )
% 216.04/216.48 , clause( 19097, [ =( theorem( implies( implies( X, or( Y, Z ) ), or( Y,
% 216.04/216.48 implies( X, Z ) ) ) ), true ) ] )
% 216.04/216.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 216.04/216.48 permutation( 0, [ ==>( 0, 0 )] ) ).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 19099, [ =( true, ifeq( theorem( implies( X, Y ) ), true, ifeq(
% 216.04/216.48 theorem( X ), true, theorem( Y ), true ), true ) ) ] )
% 216.04/216.48 , clause( 8, [ =( ifeq( theorem( implies( X, Y ) ), true, ifeq( theorem( X
% 216.04/216.48 ), true, theorem( Y ), true ), true ), true ) ] )
% 216.04/216.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 paramod(
% 216.04/216.48 clause( 19101, [ =( true, ifeq( true, true, ifeq( theorem( implies( X, Y )
% 216.04/216.48 ), true, theorem( implies( or( Z, X ), or( Z, Y ) ) ), true ), true ) )
% 216.04/216.48 ] )
% 216.04/216.48 , clause( 25, [ =( theorem( implies( implies( X, Y ), implies( or( Z, X ),
% 216.04/216.48 or( Z, Y ) ) ) ), true ) ] )
% 216.04/216.48 , 0, clause( 19099, [ =( true, ifeq( theorem( implies( X, Y ) ), true, ifeq(
% 216.04/216.48 theorem( X ), true, theorem( Y ), true ), true ) ) ] )
% 216.04/216.48 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 216.04/216.48 substitution( 1, [ :=( X, implies( X, Y ) ), :=( Y, implies( or( Z, X ),
% 216.04/216.48 or( Z, Y ) ) )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 paramod(
% 216.04/216.48 clause( 19106, [ =( true, ifeq( theorem( implies( X, Y ) ), true, theorem(
% 216.04/216.48 implies( or( Z, X ), or( Z, Y ) ) ), true ) ) ] )
% 216.04/216.48 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 216.04/216.48 , 0, clause( 19101, [ =( true, ifeq( true, true, ifeq( theorem( implies( X
% 216.04/216.48 , Y ) ), true, theorem( implies( or( Z, X ), or( Z, Y ) ) ), true ), true
% 216.04/216.48 ) ) ] )
% 216.04/216.48 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, ifeq( theorem( implies( X
% 216.04/216.48 , Y ) ), true, theorem( implies( or( Z, X ), or( Z, Y ) ) ), true ) ),
% 216.04/216.48 :=( Z, true )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 216.04/216.48 ).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 19107, [ =( ifeq( theorem( implies( X, Y ) ), true, theorem(
% 216.04/216.48 implies( or( Z, X ), or( Z, Y ) ) ), true ), true ) ] )
% 216.04/216.48 , clause( 19106, [ =( true, ifeq( theorem( implies( X, Y ) ), true, theorem(
% 216.04/216.48 implies( or( Z, X ), or( Z, Y ) ) ), true ) ) ] )
% 216.04/216.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 subsumption(
% 216.04/216.48 clause( 102, [ =( ifeq( theorem( implies( X, Y ) ), true, theorem( implies(
% 216.04/216.48 or( Z, X ), or( Z, Y ) ) ), true ), true ) ] )
% 216.04/216.48 , clause( 19107, [ =( ifeq( theorem( implies( X, Y ) ), true, theorem(
% 216.04/216.48 implies( or( Z, X ), or( Z, Y ) ) ), true ), true ) ] )
% 216.04/216.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 216.04/216.48 permutation( 0, [ ==>( 0, 0 )] ) ).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 19109, [ =( true, ifeq( theorem( implies( implies( or( X, X ), X )
% 216.04/216.48 , Y ) ), true, theorem( Y ), true ) ) ] )
% 216.04/216.48 , clause( 35, [ =( ifeq( theorem( implies( implies( or( X, X ), X ), Y ) )
% 216.04/216.48 , true, theorem( Y ), true ), true ) ] )
% 216.04/216.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 paramod(
% 216.04/216.48 clause( 19111, [ =( true, ifeq( true, true, theorem( implies( or( Y, or( X
% 216.04/216.48 , X ) ), or( Y, X ) ) ), true ) ) ] )
% 216.04/216.48 , clause( 25, [ =( theorem( implies( implies( X, Y ), implies( or( Z, X ),
% 216.04/216.48 or( Z, Y ) ) ) ), true ) ] )
% 216.04/216.48 , 0, clause( 19109, [ =( true, ifeq( theorem( implies( implies( or( X, X )
% 216.04/216.48 , X ), Y ) ), true, theorem( Y ), true ) ) ] )
% 216.04/216.48 , 0, 3, substitution( 0, [ :=( X, or( X, X ) ), :=( Y, X ), :=( Z, Y )] ),
% 216.04/216.48 substitution( 1, [ :=( X, X ), :=( Y, implies( or( Y, or( X, X ) ), or( Y
% 216.04/216.48 , X ) ) )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 paramod(
% 216.04/216.48 clause( 19113, [ =( true, theorem( implies( or( X, or( Y, Y ) ), or( X, Y )
% 216.04/216.48 ) ) ) ] )
% 216.04/216.48 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 216.04/216.48 , 0, clause( 19111, [ =( true, ifeq( true, true, theorem( implies( or( Y,
% 216.04/216.48 or( X, X ) ), or( Y, X ) ) ), true ) ) ] )
% 216.04/216.48 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, theorem( implies( or( X,
% 216.04/216.48 or( Y, Y ) ), or( X, Y ) ) ) ), :=( Z, true )] ), substitution( 1, [ :=(
% 216.04/216.48 X, Y ), :=( Y, X )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 19114, [ =( theorem( implies( or( X, or( Y, Y ) ), or( X, Y ) ) ),
% 216.04/216.48 true ) ] )
% 216.04/216.48 , clause( 19113, [ =( true, theorem( implies( or( X, or( Y, Y ) ), or( X, Y
% 216.04/216.48 ) ) ) ) ] )
% 216.04/216.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 subsumption(
% 216.04/216.48 clause( 250, [ =( theorem( implies( or( Y, or( X, X ) ), or( Y, X ) ) ),
% 216.04/216.48 true ) ] )
% 216.04/216.48 , clause( 19114, [ =( theorem( implies( or( X, or( Y, Y ) ), or( X, Y ) ) )
% 216.04/216.48 , true ) ] )
% 216.04/216.48 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 216.04/216.48 )] ) ).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 19116, [ =( true, theorem( implies( or( X, or( Y, Y ) ), or( X, Y )
% 216.04/216.48 ) ) ) ] )
% 216.04/216.48 , clause( 250, [ =( theorem( implies( or( Y, or( X, X ) ), or( Y, X ) ) ),
% 216.04/216.48 true ) ] )
% 216.04/216.48 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 paramod(
% 216.04/216.48 clause( 19120, [ =( true, theorem( implies( or( not( X ), or( Y, Y ) ),
% 216.04/216.48 implies( X, Y ) ) ) ) ] )
% 216.04/216.48 , clause( 6, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 216.04/216.48 , 0, clause( 19116, [ =( true, theorem( implies( or( X, or( Y, Y ) ), or( X
% 216.04/216.48 , Y ) ) ) ) ] )
% 216.04/216.48 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 216.04/216.48 :=( X, not( X ) ), :=( Y, Y )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 paramod(
% 216.04/216.48 clause( 19122, [ =( true, theorem( implies( implies( X, or( Y, Y ) ),
% 216.04/216.48 implies( X, Y ) ) ) ) ] )
% 216.04/216.48 , clause( 6, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 216.04/216.48 , 0, clause( 19120, [ =( true, theorem( implies( or( not( X ), or( Y, Y ) )
% 216.04/216.48 , implies( X, Y ) ) ) ) ] )
% 216.04/216.48 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, or( Y, Y ) )] ),
% 216.04/216.48 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 19123, [ =( theorem( implies( implies( X, or( Y, Y ) ), implies( X
% 216.04/216.48 , Y ) ) ), true ) ] )
% 216.04/216.48 , clause( 19122, [ =( true, theorem( implies( implies( X, or( Y, Y ) ),
% 216.04/216.48 implies( X, Y ) ) ) ) ] )
% 216.04/216.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 subsumption(
% 216.04/216.48 clause( 261, [ =( theorem( implies( implies( X, or( Y, Y ) ), implies( X, Y
% 216.04/216.48 ) ) ), true ) ] )
% 216.04/216.48 , clause( 19123, [ =( theorem( implies( implies( X, or( Y, Y ) ), implies(
% 216.04/216.48 X, Y ) ) ), true ) ] )
% 216.04/216.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 216.04/216.48 )] ) ).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 19125, [ =( true, ifeq( theorem( implies( implies( X, or( Y, X ) )
% 216.04/216.48 , Z ) ), true, theorem( Z ), true ) ) ] )
% 216.04/216.48 , clause( 37, [ =( ifeq( theorem( implies( implies( X, or( Y, X ) ), Z ) )
% 216.04/216.48 , true, theorem( Z ), true ), true ) ] )
% 216.04/216.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 paramod(
% 216.04/216.48 clause( 19127, [ =( true, ifeq( true, true, theorem( implies( X, X ) ),
% 216.04/216.48 true ) ) ] )
% 216.04/216.48 , clause( 261, [ =( theorem( implies( implies( X, or( Y, Y ) ), implies( X
% 216.04/216.48 , Y ) ) ), true ) ] )
% 216.04/216.48 , 0, clause( 19125, [ =( true, ifeq( theorem( implies( implies( X, or( Y, X
% 216.04/216.48 ) ), Z ) ), true, theorem( Z ), true ) ) ] )
% 216.04/216.48 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 216.04/216.48 :=( X, X ), :=( Y, X ), :=( Z, implies( X, X ) )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 paramod(
% 216.04/216.48 clause( 19129, [ =( true, theorem( implies( X, X ) ) ) ] )
% 216.04/216.48 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 216.04/216.48 , 0, clause( 19127, [ =( true, ifeq( true, true, theorem( implies( X, X ) )
% 216.04/216.48 , true ) ) ] )
% 216.04/216.48 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, theorem( implies( X, X ) )
% 216.04/216.48 ), :=( Z, true )] ), substitution( 1, [ :=( X, X )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 19130, [ =( theorem( implies( X, X ) ), true ) ] )
% 216.04/216.48 , clause( 19129, [ =( true, theorem( implies( X, X ) ) ) ] )
% 216.04/216.48 , 0, substitution( 0, [ :=( X, X )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 subsumption(
% 216.04/216.48 clause( 406, [ =( theorem( implies( X, X ) ), true ) ] )
% 216.04/216.48 , clause( 19130, [ =( theorem( implies( X, X ) ), true ) ] )
% 216.04/216.48 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 19132, [ =( true, ifeq( theorem( implies( X, Y ) ), true, theorem(
% 216.04/216.48 or( Y, not( X ) ) ), true ) ) ] )
% 216.04/216.48 , clause( 29, [ =( ifeq( theorem( implies( X, Y ) ), true, theorem( or( Y,
% 216.04/216.48 not( X ) ) ), true ), true ) ] )
% 216.04/216.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 paramod(
% 216.04/216.48 clause( 19134, [ =( true, ifeq( true, true, theorem( or( X, not( X ) ) ),
% 216.04/216.48 true ) ) ] )
% 216.04/216.48 , clause( 406, [ =( theorem( implies( X, X ) ), true ) ] )
% 216.04/216.48 , 0, clause( 19132, [ =( true, ifeq( theorem( implies( X, Y ) ), true,
% 216.04/216.48 theorem( or( Y, not( X ) ) ), true ) ) ] )
% 216.04/216.48 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 216.04/216.48 :=( Y, X )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 paramod(
% 216.04/216.48 clause( 19135, [ =( true, theorem( or( X, not( X ) ) ) ) ] )
% 216.04/216.48 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 216.04/216.48 , 0, clause( 19134, [ =( true, ifeq( true, true, theorem( or( X, not( X ) )
% 216.04/216.48 ), true ) ) ] )
% 216.04/216.48 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, theorem( or( X, not( X ) )
% 216.04/216.48 ) ), :=( Z, true )] ), substitution( 1, [ :=( X, X )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 19136, [ =( theorem( or( X, not( X ) ) ), true ) ] )
% 216.04/216.48 , clause( 19135, [ =( true, theorem( or( X, not( X ) ) ) ) ] )
% 216.04/216.48 , 0, substitution( 0, [ :=( X, X )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 subsumption(
% 216.04/216.48 clause( 414, [ =( theorem( or( X, not( X ) ) ), true ) ] )
% 216.04/216.48 , clause( 19136, [ =( theorem( or( X, not( X ) ) ), true ) ] )
% 216.04/216.48 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 19138, [ =( true, theorem( or( X, not( X ) ) ) ) ] )
% 216.04/216.48 , clause( 414, [ =( theorem( or( X, not( X ) ) ), true ) ] )
% 216.04/216.48 , 0, substitution( 0, [ :=( X, X )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 paramod(
% 216.04/216.48 clause( 19139, [ =( true, theorem( implies( X, not( not( X ) ) ) ) ) ] )
% 216.04/216.48 , clause( 6, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 216.04/216.48 , 0, clause( 19138, [ =( true, theorem( or( X, not( X ) ) ) ) ] )
% 216.04/216.48 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, not( not( X ) ) )] ),
% 216.04/216.48 substitution( 1, [ :=( X, not( X ) )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 19140, [ =( theorem( implies( X, not( not( X ) ) ) ), true ) ] )
% 216.04/216.48 , clause( 19139, [ =( true, theorem( implies( X, not( not( X ) ) ) ) ) ] )
% 216.04/216.48 , 0, substitution( 0, [ :=( X, X )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 subsumption(
% 216.04/216.48 clause( 424, [ =( theorem( implies( X, not( not( X ) ) ) ), true ) ] )
% 216.04/216.48 , clause( 19140, [ =( theorem( implies( X, not( not( X ) ) ) ), true ) ] )
% 216.04/216.48 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 19142, [ =( true, ifeq( theorem( implies( implies( or( X, Y ), or(
% 216.04/216.48 Y, X ) ), Z ) ), true, theorem( Z ), true ) ) ] )
% 216.04/216.48 , clause( 33, [ =( ifeq( theorem( implies( implies( or( X, Y ), or( Y, X )
% 216.04/216.48 ), Z ) ), true, theorem( Z ), true ), true ) ] )
% 216.04/216.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 paramod(
% 216.04/216.48 clause( 19144, [ =( true, ifeq( true, true, theorem( or( Y, implies( or( X
% 216.04/216.48 , Y ), X ) ) ), true ) ) ] )
% 216.04/216.48 , clause( 58, [ =( theorem( implies( implies( X, or( Y, Z ) ), or( Y,
% 216.04/216.48 implies( X, Z ) ) ) ), true ) ] )
% 216.04/216.48 , 0, clause( 19142, [ =( true, ifeq( theorem( implies( implies( or( X, Y )
% 216.04/216.48 , or( Y, X ) ), Z ) ), true, theorem( Z ), true ) ) ] )
% 216.04/216.48 , 0, 3, substitution( 0, [ :=( X, or( X, Y ) ), :=( Y, Y ), :=( Z, X )] ),
% 216.04/216.48 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, or( Y, implies( or( X,
% 216.04/216.48 Y ), X ) ) )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 paramod(
% 216.04/216.48 clause( 19146, [ =( true, theorem( or( X, implies( or( Y, X ), Y ) ) ) ) ]
% 216.04/216.48 )
% 216.04/216.48 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 216.04/216.48 , 0, clause( 19144, [ =( true, ifeq( true, true, theorem( or( Y, implies(
% 216.04/216.48 or( X, Y ), X ) ) ), true ) ) ] )
% 216.04/216.48 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, theorem( or( X, implies(
% 216.04/216.48 or( Y, X ), Y ) ) ) ), :=( Z, true )] ), substitution( 1, [ :=( X, Y ),
% 216.04/216.48 :=( Y, X )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 19147, [ =( theorem( or( X, implies( or( Y, X ), Y ) ) ), true ) ]
% 216.04/216.48 )
% 216.04/216.48 , clause( 19146, [ =( true, theorem( or( X, implies( or( Y, X ), Y ) ) ) )
% 216.04/216.48 ] )
% 216.04/216.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 subsumption(
% 216.04/216.48 clause( 490, [ =( theorem( or( Y, implies( or( X, Y ), X ) ) ), true ) ] )
% 216.04/216.48 , clause( 19147, [ =( theorem( or( X, implies( or( Y, X ), Y ) ) ), true )
% 216.04/216.48 ] )
% 216.04/216.48 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 216.04/216.48 )] ) ).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 19149, [ =( true, ifeq( theorem( or( X, Y ) ), true, theorem( or( Y
% 216.04/216.48 , X ) ), true ) ) ] )
% 216.04/216.48 , clause( 32, [ =( ifeq( theorem( or( X, Y ) ), true, theorem( or( Y, X ) )
% 216.04/216.48 , true ), true ) ] )
% 216.04/216.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 paramod(
% 216.04/216.48 clause( 19151, [ =( true, ifeq( true, true, theorem( or( implies( or( Y, X
% 216.04/216.48 ), Y ), X ) ), true ) ) ] )
% 216.04/216.48 , clause( 490, [ =( theorem( or( Y, implies( or( X, Y ), X ) ) ), true ) ]
% 216.04/216.48 )
% 216.04/216.48 , 0, clause( 19149, [ =( true, ifeq( theorem( or( X, Y ) ), true, theorem(
% 216.04/216.48 or( Y, X ) ), true ) ) ] )
% 216.04/216.48 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 216.04/216.48 :=( X, X ), :=( Y, implies( or( Y, X ), Y ) )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 paramod(
% 216.04/216.48 clause( 19153, [ =( true, theorem( or( implies( or( X, Y ), X ), Y ) ) ) ]
% 216.04/216.48 )
% 216.04/216.48 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 216.04/216.48 , 0, clause( 19151, [ =( true, ifeq( true, true, theorem( or( implies( or(
% 216.04/216.48 Y, X ), Y ), X ) ), true ) ) ] )
% 216.04/216.48 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, theorem( or( implies( or(
% 216.04/216.48 X, Y ), X ), Y ) ) ), :=( Z, true )] ), substitution( 1, [ :=( X, Y ),
% 216.04/216.48 :=( Y, X )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 19154, [ =( theorem( or( implies( or( X, Y ), X ), Y ) ), true ) ]
% 216.04/216.48 )
% 216.04/216.48 , clause( 19153, [ =( true, theorem( or( implies( or( X, Y ), X ), Y ) ) )
% 216.04/216.48 ] )
% 216.04/216.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 subsumption(
% 216.04/216.48 clause( 547, [ =( theorem( or( implies( or( Y, X ), Y ), X ) ), true ) ] )
% 216.04/216.48 , clause( 19154, [ =( theorem( or( implies( or( X, Y ), X ), Y ) ), true )
% 216.04/216.48 ] )
% 216.04/216.48 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 216.04/216.48 )] ) ).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 19156, [ =( true, ifeq( theorem( implies( X, Y ) ), true, ifeq(
% 216.04/216.48 theorem( X ), true, theorem( Y ), true ), true ) ) ] )
% 216.04/216.48 , clause( 8, [ =( ifeq( theorem( implies( X, Y ) ), true, ifeq( theorem( X
% 216.04/216.48 ), true, theorem( Y ), true ), true ), true ) ] )
% 216.04/216.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 paramod(
% 216.04/216.48 clause( 19158, [ =( true, ifeq( theorem( implies( or( implies( or( X, Y ),
% 216.04/216.48 X ), Y ), Z ) ), true, ifeq( true, true, theorem( Z ), true ), true ) ) ]
% 216.04/216.48 )
% 216.04/216.48 , clause( 547, [ =( theorem( or( implies( or( Y, X ), Y ), X ) ), true ) ]
% 216.04/216.48 )
% 216.04/216.48 , 0, clause( 19156, [ =( true, ifeq( theorem( implies( X, Y ) ), true, ifeq(
% 216.04/216.48 theorem( X ), true, theorem( Y ), true ), true ) ) ] )
% 216.04/216.48 , 0, 15, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 216.04/216.48 :=( X, or( implies( or( X, Y ), X ), Y ) ), :=( Y, Z )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 paramod(
% 216.04/216.48 clause( 19160, [ =( true, ifeq( theorem( implies( or( implies( or( X, Y ),
% 216.04/216.48 X ), Y ), Z ) ), true, theorem( Z ), true ) ) ] )
% 216.04/216.48 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 216.04/216.48 , 0, clause( 19158, [ =( true, ifeq( theorem( implies( or( implies( or( X,
% 216.04/216.48 Y ), X ), Y ), Z ) ), true, ifeq( true, true, theorem( Z ), true ), true
% 216.04/216.48 ) ) ] )
% 216.04/216.48 , 0, 14, substitution( 0, [ :=( X, true ), :=( Y, theorem( Z ) ), :=( Z,
% 216.04/216.48 true )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 19161, [ =( ifeq( theorem( implies( or( implies( or( X, Y ), X ), Y
% 216.04/216.48 ), Z ) ), true, theorem( Z ), true ), true ) ] )
% 216.04/216.48 , clause( 19160, [ =( true, ifeq( theorem( implies( or( implies( or( X, Y )
% 216.04/216.48 , X ), Y ), Z ) ), true, theorem( Z ), true ) ) ] )
% 216.04/216.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 subsumption(
% 216.04/216.48 clause( 557, [ =( ifeq( theorem( implies( or( implies( or( X, Y ), X ), Y )
% 216.04/216.48 , Z ) ), true, theorem( Z ), true ), true ) ] )
% 216.04/216.48 , clause( 19161, [ =( ifeq( theorem( implies( or( implies( or( X, Y ), X )
% 216.04/216.48 , Y ), Z ) ), true, theorem( Z ), true ), true ) ] )
% 216.04/216.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 216.04/216.48 permutation( 0, [ ==>( 0, 0 )] ) ).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 19163, [ =( true, ifeq( theorem( implies( X, Y ) ), true, theorem(
% 216.04/216.48 implies( or( Z, X ), or( Z, Y ) ) ), true ) ) ] )
% 216.04/216.48 , clause( 102, [ =( ifeq( theorem( implies( X, Y ) ), true, theorem(
% 216.04/216.48 implies( or( Z, X ), or( Z, Y ) ) ), true ), true ) ] )
% 216.04/216.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 paramod(
% 216.04/216.48 clause( 19165, [ =( true, ifeq( true, true, theorem( implies( or( Y, X ),
% 216.04/216.48 or( Y, not( not( X ) ) ) ) ), true ) ) ] )
% 216.04/216.48 , clause( 424, [ =( theorem( implies( X, not( not( X ) ) ) ), true ) ] )
% 216.04/216.48 , 0, clause( 19163, [ =( true, ifeq( theorem( implies( X, Y ) ), true,
% 216.04/216.48 theorem( implies( or( Z, X ), or( Z, Y ) ) ), true ) ) ] )
% 216.04/216.48 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 216.04/216.48 :=( Y, not( not( X ) ) ), :=( Z, Y )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 paramod(
% 216.04/216.48 clause( 19166, [ =( true, theorem( implies( or( X, Y ), or( X, not( not( Y
% 216.04/216.48 ) ) ) ) ) ) ] )
% 216.04/216.48 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 216.04/216.48 , 0, clause( 19165, [ =( true, ifeq( true, true, theorem( implies( or( Y, X
% 216.04/216.48 ), or( Y, not( not( X ) ) ) ) ), true ) ) ] )
% 216.04/216.48 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, theorem( implies( or( X, Y
% 216.04/216.48 ), or( X, not( not( Y ) ) ) ) ) ), :=( Z, true )] ), substitution( 1, [
% 216.04/216.48 :=( X, Y ), :=( Y, X )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 19167, [ =( theorem( implies( or( X, Y ), or( X, not( not( Y ) ) )
% 216.04/216.48 ) ), true ) ] )
% 216.04/216.48 , clause( 19166, [ =( true, theorem( implies( or( X, Y ), or( X, not( not(
% 216.04/216.48 Y ) ) ) ) ) ) ] )
% 216.04/216.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 subsumption(
% 216.04/216.48 clause( 1246, [ =( theorem( implies( or( Y, X ), or( Y, not( not( X ) ) ) )
% 216.04/216.48 ), true ) ] )
% 216.04/216.48 , clause( 19167, [ =( theorem( implies( or( X, Y ), or( X, not( not( Y ) )
% 216.04/216.48 ) ) ), true ) ] )
% 216.04/216.48 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 216.04/216.48 )] ) ).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 19169, [ =( true, ifeq( theorem( implies( or( implies( or( X, Y ),
% 216.04/216.48 X ), Y ), Z ) ), true, theorem( Z ), true ) ) ] )
% 216.04/216.48 , clause( 557, [ =( ifeq( theorem( implies( or( implies( or( X, Y ), X ), Y
% 216.04/216.48 ), Z ) ), true, theorem( Z ), true ), true ) ] )
% 216.04/216.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 paramod(
% 216.04/216.48 clause( 19171, [ =( true, ifeq( true, true, theorem( or( implies( or( X, Y
% 216.04/216.48 ), X ), not( not( Y ) ) ) ), true ) ) ] )
% 216.04/216.48 , clause( 1246, [ =( theorem( implies( or( Y, X ), or( Y, not( not( X ) ) )
% 216.04/216.48 ) ), true ) ] )
% 216.04/216.48 , 0, clause( 19169, [ =( true, ifeq( theorem( implies( or( implies( or( X,
% 216.04/216.48 Y ), X ), Y ), Z ) ), true, theorem( Z ), true ) ) ] )
% 216.04/216.48 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, implies( or( X, Y ), X ) )] )
% 216.04/216.48 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, or( implies( or( X, Y
% 216.04/216.48 ), X ), not( not( Y ) ) ) )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 paramod(
% 216.04/216.48 clause( 19173, [ =( true, theorem( or( implies( or( X, Y ), X ), not( not(
% 216.04/216.48 Y ) ) ) ) ) ] )
% 216.04/216.48 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 216.04/216.48 , 0, clause( 19171, [ =( true, ifeq( true, true, theorem( or( implies( or(
% 216.04/216.48 X, Y ), X ), not( not( Y ) ) ) ), true ) ) ] )
% 216.04/216.48 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, theorem( or( implies( or(
% 216.04/216.48 X, Y ), X ), not( not( Y ) ) ) ) ), :=( Z, true )] ), substitution( 1, [
% 216.04/216.48 :=( X, X ), :=( Y, Y )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 19174, [ =( theorem( or( implies( or( X, Y ), X ), not( not( Y ) )
% 216.04/216.48 ) ), true ) ] )
% 216.04/216.48 , clause( 19173, [ =( true, theorem( or( implies( or( X, Y ), X ), not( not(
% 216.04/216.48 Y ) ) ) ) ) ] )
% 216.04/216.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 subsumption(
% 216.04/216.48 clause( 18854, [ =( theorem( or( implies( or( X, Y ), X ), not( not( Y ) )
% 216.04/216.48 ) ), true ) ] )
% 216.04/216.48 , clause( 19174, [ =( theorem( or( implies( or( X, Y ), X ), not( not( Y )
% 216.04/216.48 ) ) ), true ) ] )
% 216.04/216.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 216.04/216.48 )] ) ).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 19176, [ =( true, ifeq( theorem( or( X, Y ) ), true, theorem( or( Y
% 216.04/216.48 , X ) ), true ) ) ] )
% 216.04/216.48 , clause( 32, [ =( ifeq( theorem( or( X, Y ) ), true, theorem( or( Y, X ) )
% 216.04/216.48 , true ), true ) ] )
% 216.04/216.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 paramod(
% 216.04/216.48 clause( 19179, [ =( true, ifeq( true, true, theorem( or( not( not( Y ) ),
% 216.04/216.48 implies( or( X, Y ), X ) ) ), true ) ) ] )
% 216.04/216.48 , clause( 18854, [ =( theorem( or( implies( or( X, Y ), X ), not( not( Y )
% 216.04/216.48 ) ) ), true ) ] )
% 216.04/216.48 , 0, clause( 19176, [ =( true, ifeq( theorem( or( X, Y ) ), true, theorem(
% 216.04/216.48 or( Y, X ) ), true ) ) ] )
% 216.04/216.48 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 216.04/216.48 :=( X, implies( or( X, Y ), X ) ), :=( Y, not( not( Y ) ) )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 paramod(
% 216.04/216.48 clause( 19181, [ =( true, theorem( or( not( not( X ) ), implies( or( Y, X )
% 216.04/216.48 , Y ) ) ) ) ] )
% 216.04/216.48 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 216.04/216.48 , 0, clause( 19179, [ =( true, ifeq( true, true, theorem( or( not( not( Y )
% 216.04/216.48 ), implies( or( X, Y ), X ) ) ), true ) ) ] )
% 216.04/216.48 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, theorem( or( not( not( X )
% 216.04/216.48 ), implies( or( Y, X ), Y ) ) ) ), :=( Z, true )] ), substitution( 1, [
% 216.04/216.48 :=( X, Y ), :=( Y, X )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 paramod(
% 216.04/216.48 clause( 19182, [ =( true, theorem( implies( not( X ), implies( or( Y, X ),
% 216.04/216.48 Y ) ) ) ) ] )
% 216.04/216.48 , clause( 6, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 216.04/216.48 , 0, clause( 19181, [ =( true, theorem( or( not( not( X ) ), implies( or( Y
% 216.04/216.48 , X ), Y ) ) ) ) ] )
% 216.04/216.48 , 0, 3, substitution( 0, [ :=( X, not( X ) ), :=( Y, implies( or( Y, X ), Y
% 216.04/216.48 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 19183, [ =( theorem( implies( not( X ), implies( or( Y, X ), Y ) )
% 216.04/216.48 ), true ) ] )
% 216.04/216.48 , clause( 19182, [ =( true, theorem( implies( not( X ), implies( or( Y, X )
% 216.04/216.48 , Y ) ) ) ) ] )
% 216.04/216.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 subsumption(
% 216.04/216.48 clause( 18935, [ =( theorem( implies( not( Y ), implies( or( X, Y ), X ) )
% 216.04/216.48 ), true ) ] )
% 216.04/216.48 , clause( 19183, [ =( theorem( implies( not( X ), implies( or( Y, X ), Y )
% 216.04/216.48 ) ), true ) ] )
% 216.04/216.48 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 216.04/216.48 )] ) ).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 19184, [ =( true, theorem( implies( not( X ), implies( or( Y, X ),
% 216.04/216.48 Y ) ) ) ) ] )
% 216.04/216.48 , clause( 18935, [ =( theorem( implies( not( Y ), implies( or( X, Y ), X )
% 216.04/216.48 ) ), true ) ] )
% 216.04/216.48 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 eqswap(
% 216.04/216.48 clause( 19185, [ ~( =( true, theorem( implies( not( q ), implies( or( p, q
% 216.04/216.48 ), p ) ) ) ) ) ] )
% 216.04/216.48 , clause( 9, [ ~( =( theorem( implies( not( q ), implies( or( p, q ), p ) )
% 216.04/216.48 ), true ) ) ] )
% 216.04/216.48 , 0, substitution( 0, [] )).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 resolution(
% 216.04/216.48 clause( 19186, [] )
% 216.04/216.48 , clause( 19185, [ ~( =( true, theorem( implies( not( q ), implies( or( p,
% 216.04/216.48 q ), p ) ) ) ) ) ] )
% 216.04/216.48 , 0, clause( 19184, [ =( true, theorem( implies( not( X ), implies( or( Y,
% 216.04/216.48 X ), Y ) ) ) ) ] )
% 216.04/216.48 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, q ), :=( Y, p )] )
% 216.04/216.48 ).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 subsumption(
% 216.04/216.48 clause( 18940, [] )
% 216.04/216.48 , clause( 19186, [] )
% 216.04/216.48 , substitution( 0, [] ), permutation( 0, [] ) ).
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 end.
% 216.04/216.48
% 216.04/216.48 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 216.04/216.48
% 216.04/216.48 Memory use:
% 216.04/216.48
% 216.04/216.48 space for terms: 290138
% 216.04/216.48 space for clauses: 1983918
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 clauses generated: 369011
% 216.04/216.48 clauses kept: 18941
% 216.04/216.48 clauses selected: 1460
% 216.04/216.48 clauses deleted: 74
% 216.04/216.48 clauses inuse deleted: 12
% 216.04/216.48
% 216.04/216.48 subsentry: 768
% 216.04/216.48 literals s-matched: 343
% 216.04/216.48 literals matched: 343
% 216.04/216.48 full subsumption: 0
% 216.04/216.48
% 216.04/216.48 checksum: -1919727277
% 216.04/216.48
% 216.04/216.48
% 216.04/216.48 Bliksem ended
%------------------------------------------------------------------------------