TSTP Solution File: LCL385-10 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL385-10 : TPTP v8.1.0. Released v7.5.0.
% 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 07:53:12 EDT 2022
% Result : Unsatisfiable 44.41s 44.80s
% Output : Refutation 44.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL385-10 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.12 % 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 : Sat Jul 2 13:34:48 EDT 2022
% 0.12/0.34 % CPUTime :
% 30.62/31.05 *** allocated 10000 integers for termspace/termends
% 30.62/31.05 *** allocated 10000 integers for clauses
% 30.62/31.05 *** allocated 10000 integers for justifications
% 30.62/31.05 Bliksem 1.12
% 30.62/31.05
% 30.62/31.05
% 30.62/31.05 Automatic Strategy Selection
% 30.62/31.05
% 30.62/31.05 Clauses:
% 30.62/31.05 [
% 30.62/31.05 [ =( ifeq( X, X, Y, Z ), Y ) ],
% 30.62/31.05 [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true, ifeq( 'is_a_theorem'(
% 30.62/31.05 X ), true, 'is_a_theorem'( Y ), true ), true ), true ) ],
% 30.62/31.05 [ =( 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y, Z )
% 30.62/31.05 , implies( X, Z ) ) ) ), true ) ],
% 30.62/31.05 [ =( 'is_a_theorem'( implies( implies( not( X ), X ), X ) ), true ) ]
% 30.62/31.05 ,
% 30.62/31.05 [ =( 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ), true ) ]
% 30.62/31.05 ,
% 30.62/31.05 [ ~( =( 'is_a_theorem'( implies( implies( x, not( y ) ), implies( y, not(
% 30.62/31.05 x ) ) ) ), true ) ) ]
% 30.62/31.05 ] .
% 30.62/31.05
% 30.62/31.05
% 30.62/31.05 percentage equality = 1.000000, percentage horn = 1.000000
% 30.62/31.05 This is a pure equality problem
% 30.62/31.05
% 30.62/31.05
% 30.62/31.05
% 30.62/31.05 Options Used:
% 30.62/31.05
% 30.62/31.05 useres = 1
% 30.62/31.05 useparamod = 1
% 30.62/31.05 useeqrefl = 1
% 30.62/31.05 useeqfact = 1
% 30.62/31.05 usefactor = 1
% 30.62/31.05 usesimpsplitting = 0
% 30.62/31.05 usesimpdemod = 5
% 30.62/31.05 usesimpres = 3
% 30.62/31.05
% 30.62/31.05 resimpinuse = 1000
% 30.62/31.05 resimpclauses = 20000
% 30.62/31.05 substype = eqrewr
% 30.62/31.05 backwardsubs = 1
% 30.62/31.05 selectoldest = 5
% 30.62/31.05
% 30.62/31.05 litorderings [0] = split
% 30.62/31.05 litorderings [1] = extend the termordering, first sorting on arguments
% 30.62/31.05
% 30.62/31.05 termordering = kbo
% 30.62/31.05
% 30.62/31.05 litapriori = 0
% 30.62/31.05 termapriori = 1
% 30.62/31.05 litaposteriori = 0
% 30.62/31.05 termaposteriori = 0
% 30.62/31.05 demodaposteriori = 0
% 30.62/31.05 ordereqreflfact = 0
% 30.62/31.05
% 30.62/31.05 litselect = negord
% 30.62/31.05
% 30.62/31.05 maxweight = 15
% 30.62/31.05 maxdepth = 30000
% 30.62/31.05 maxlength = 115
% 30.62/31.05 maxnrvars = 195
% 30.62/31.05 excuselevel = 1
% 30.62/31.05 increasemaxweight = 1
% 30.62/31.05
% 30.62/31.05 maxselected = 10000000
% 30.62/31.05 maxnrclauses = 10000000
% 30.62/31.05
% 30.62/31.05 showgenerated = 0
% 30.62/31.05 showkept = 0
% 30.62/31.05 showselected = 0
% 30.62/31.05 showdeleted = 0
% 30.62/31.05 showresimp = 1
% 30.62/31.05 showstatus = 2000
% 30.62/31.05
% 30.62/31.05 prologoutput = 1
% 30.62/31.05 nrgoals = 5000000
% 30.62/31.05 totalproof = 1
% 30.62/31.05
% 30.62/31.05 Symbols occurring in the translation:
% 30.62/31.05
% 30.62/31.05 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 30.62/31.05 . [1, 2] (w:1, o:25, a:1, s:1, b:0),
% 30.62/31.05 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 30.62/31.05 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 30.62/31.05 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 30.62/31.05 ifeq [42, 4] (w:1, o:51, a:1, s:1, b:0),
% 30.62/31.05 implies [45, 2] (w:1, o:50, a:1, s:1, b:0),
% 30.62/31.05 'is_a_theorem' [46, 1] (w:1, o:23, a:1, s:1, b:0),
% 30.62/31.05 true [47, 0] (w:1, o:14, a:1, s:1, b:0),
% 30.62/31.05 not [49, 1] (w:1, o:24, a:1, s:1, b:0),
% 30.62/31.05 x [50, 0] (w:1, o:16, a:1, s:1, b:0),
% 30.62/31.05 y [51, 0] (w:1, o:17, a:1, s:1, b:0).
% 30.62/31.05
% 30.62/31.05
% 30.62/31.05 Starting Search:
% 30.62/31.05
% 30.62/31.05 Resimplifying inuse:
% 30.62/31.05 Done
% 30.62/31.05
% 30.62/31.05 Failed to find proof!
% 30.62/31.05 maxweight = 15
% 30.62/31.05 maxnrclauses = 10000000
% 30.62/31.05 Generated: 696
% 30.62/31.05 Kept: 41
% 30.62/31.05
% 30.62/31.05
% 30.62/31.05 The strategy used was not complete!
% 30.62/31.05
% 30.62/31.05 Increased maxweight to 16
% 30.62/31.05
% 30.62/31.05 Starting Search:
% 30.62/31.05
% 30.62/31.05 Resimplifying inuse:
% 30.62/31.05 Done
% 30.62/31.05
% 30.62/31.05 Failed to find proof!
% 30.62/31.05 maxweight = 16
% 30.62/31.05 maxnrclauses = 10000000
% 30.62/31.05 Generated: 10726
% 30.62/31.05 Kept: 142
% 30.62/31.05
% 30.62/31.05
% 30.62/31.05 The strategy used was not complete!
% 30.62/31.05
% 30.62/31.05 Increased maxweight to 17
% 30.62/31.05
% 30.62/31.05 Starting Search:
% 30.62/31.05
% 30.62/31.05 Resimplifying inuse:
% 30.62/31.05 Done
% 30.62/31.05
% 30.62/31.05 Failed to find proof!
% 30.62/31.05 maxweight = 17
% 30.62/31.05 maxnrclauses = 10000000
% 30.62/31.05 Generated: 30725
% 30.62/31.05 Kept: 246
% 30.62/31.05
% 30.62/31.05
% 30.62/31.05 The strategy used was not complete!
% 30.62/31.05
% 30.62/31.05 Increased maxweight to 18
% 30.62/31.05
% 30.62/31.05 Starting Search:
% 30.62/31.05
% 30.62/31.05 Resimplifying inuse:
% 30.62/31.05 Done
% 30.62/31.05
% 30.62/31.05 Failed to find proof!
% 30.62/31.05 maxweight = 18
% 30.62/31.05 maxnrclauses = 10000000
% 30.62/31.05 Generated: 102375
% 30.62/31.05 Kept: 433
% 30.62/31.05
% 30.62/31.05
% 30.62/31.05 The strategy used was not complete!
% 30.62/31.05
% 30.62/31.05 Increased maxweight to 19
% 30.62/31.05
% 30.62/31.05 Starting Search:
% 30.62/31.05
% 30.62/31.05 Resimplifying inuse:
% 30.62/31.05 Done
% 30.62/31.05
% 30.62/31.05 Resimplifying inuse:
% 30.62/31.05 Done
% 30.62/31.05
% 30.62/31.05 Failed to find proof!
% 30.62/31.05 maxweight = 19
% 30.62/31.05 maxnrclauses = 10000000
% 30.62/31.05 Generated: 959597
% 30.62/31.05 Kept: 1324
% 30.62/31.05
% 30.62/31.05
% 30.62/31.05 The strategy used was not complete!
% 30.62/31.05
% 30.62/31.05 Increased maxweight to 20
% 30.62/31.05
% 30.62/31.05 Starting Search:
% 30.62/31.05
% 30.62/31.05 Resimplifying inuse:
% 30.62/31.05 Done
% 30.62/31.05
% 30.62/31.05
% 30.62/31.05 Intermediate Status:
% 30.62/31.05 Generated: 235177
% 30.62/31.05 Kept: 2006
% 30.62/31.05 Inuse: 643
% 30.62/31.05 Deleted: 52
% 30.62/31.05 Deletedinuse: 8
% 30.62/31.05
% 30.62/31.05 Resimplifying inuse:
% 30.62/31.05 Done
% 30.62/31.05
% 30.62/31.05 Resimplifying inuse:
% 30.62/31.05 Done
% 30.62/31.05
% 30.62/31.05
% 30.62/31.05 Intermediate Status:
% 30.62/31.05 Generated: 4685998
% 30.62/31.05 Kept: 4027
% 30.62/31.05 Inuse: 2966
% 30.62/31.05 Deleted: 100
% 30.62/31.05 Deletedinuse: 18
% 30.62/31.05
% 30.62/31.05 Resimplifying inuse:
% 30.62/31.05 Done
% 30.62/31.05
% 30.62/31.05 Resimplifying inuse:
% 30.62/31.05 Done
% 30.62/31.05
% 30.62/31.05
% 30.62/31.05 Intermediate Status:
% 30.62/31.05 Generated: 5067596
% 30.62/31.05 Kept: 6029
% 30.62/31.05 Inuse: 3109
% 30.62/31.05 Deleted: 236
% 30.62/31.05 Deletedinuse: 150
% 30.62/31.05
% 30.62/31.05 Resimplifying inuse:
% 30.62/31.05 Done
% 30.62/31.05
% 30.62/31.05 Resimplifying inuse:
% 30.62/31.05 Done
% 30.62/31.05
% 30.62/31.05
% 30.62/31.05 Intermediate Status:
% 30.62/31.05 Generated: 5244591
% 30.62/31.05 Kept: 8041
% 44.41/44.80 Inuse: 3173
% 44.41/44.80 Deleted: 248
% 44.41/44.80 Deletedinuse: 162
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 Intermediate Status:
% 44.41/44.80 Generated: 5406151
% 44.41/44.80 Kept: 10067
% 44.41/44.80 Inuse: 3249
% 44.41/44.80 Deleted: 252
% 44.41/44.80 Deletedinuse: 163
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 Intermediate Status:
% 44.41/44.80 Generated: 5752578
% 44.41/44.80 Kept: 12074
% 44.41/44.80 Inuse: 3392
% 44.41/44.80 Deleted: 256
% 44.41/44.80 Deletedinuse: 166
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 Intermediate Status:
% 44.41/44.80 Generated: 6159142
% 44.41/44.80 Kept: 14076
% 44.41/44.80 Inuse: 3554
% 44.41/44.80 Deleted: 266
% 44.41/44.80 Deletedinuse: 170
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 Intermediate Status:
% 44.41/44.80 Generated: 6279209
% 44.41/44.80 Kept: 16231
% 44.41/44.80 Inuse: 3598
% 44.41/44.80 Deleted: 273
% 44.41/44.80 Deletedinuse: 177
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 Intermediate Status:
% 44.41/44.80 Generated: 6501734
% 44.41/44.80 Kept: 18251
% 44.41/44.80 Inuse: 3683
% 44.41/44.80 Deleted: 274
% 44.41/44.80 Deletedinuse: 177
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80 Resimplifying clauses:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 Intermediate Status:
% 44.41/44.80 Generated: 6672824
% 44.41/44.80 Kept: 20255
% 44.41/44.80 Inuse: 3764
% 44.41/44.80 Deleted: 518
% 44.41/44.80 Deletedinuse: 177
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 Intermediate Status:
% 44.41/44.80 Generated: 6973997
% 44.41/44.80 Kept: 22382
% 44.41/44.80 Inuse: 3860
% 44.41/44.80 Deleted: 518
% 44.41/44.80 Deletedinuse: 177
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 Intermediate Status:
% 44.41/44.80 Generated: 7569387
% 44.41/44.80 Kept: 24386
% 44.41/44.80 Inuse: 4070
% 44.41/44.80 Deleted: 520
% 44.41/44.80 Deletedinuse: 177
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 Intermediate Status:
% 44.41/44.80 Generated: 7903914
% 44.41/44.80 Kept: 26387
% 44.41/44.80 Inuse: 4180
% 44.41/44.80 Deleted: 521
% 44.41/44.80 Deletedinuse: 178
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 Intermediate Status:
% 44.41/44.80 Generated: 8661396
% 44.41/44.80 Kept: 28389
% 44.41/44.80 Inuse: 4449
% 44.41/44.80 Deleted: 525
% 44.41/44.80 Deletedinuse: 181
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 Intermediate Status:
% 44.41/44.80 Generated: 9080626
% 44.41/44.80 Kept: 30423
% 44.41/44.80 Inuse: 4616
% 44.41/44.80 Deleted: 528
% 44.41/44.80 Deletedinuse: 183
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 Intermediate Status:
% 44.41/44.80 Generated: 9354047
% 44.41/44.80 Kept: 32530
% 44.41/44.80 Inuse: 4719
% 44.41/44.80 Deleted: 532
% 44.41/44.80 Deletedinuse: 187
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 Intermediate Status:
% 44.41/44.80 Generated: 9700141
% 44.41/44.80 Kept: 34595
% 44.41/44.80 Inuse: 4842
% 44.41/44.80 Deleted: 534
% 44.41/44.80 Deletedinuse: 189
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 Intermediate Status:
% 44.41/44.80 Generated: 9878150
% 44.41/44.80 Kept: 36661
% 44.41/44.80 Inuse: 4897
% 44.41/44.80 Deleted: 548
% 44.41/44.80 Deletedinuse: 203
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 Intermediate Status:
% 44.41/44.80 Generated: 10102040
% 44.41/44.80 Kept: 38665
% 44.41/44.80 Inuse: 4965
% 44.41/44.80 Deleted: 549
% 44.41/44.80 Deletedinuse: 204
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80 Resimplifying clauses:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 Intermediate Status:
% 44.41/44.80 Generated: 10336282
% 44.41/44.80 Kept: 40673
% 44.41/44.80 Inuse: 5041
% 44.41/44.80 Deleted: 983
% 44.41/44.80 Deletedinuse: 204
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 Intermediate Status:
% 44.41/44.80 Generated: 10591368
% 44.41/44.80 Kept: 43319
% 44.41/44.80 Inuse: 5129
% 44.41/44.80 Deleted: 983
% 44.41/44.80 Deletedinuse: 204
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 Intermediate Status:
% 44.41/44.80 Generated: 10876167
% 44.41/44.80 Kept: 45331
% 44.41/44.80 Inuse: 5222
% 44.41/44.80 Deleted: 983
% 44.41/44.80 Deletedinuse: 204
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 Intermediate Status:
% 44.41/44.80 Generated: 11222812
% 44.41/44.80 Kept: 47343
% 44.41/44.80 Inuse: 5326
% 44.41/44.80 Deleted: 984
% 44.41/44.80 Deletedinuse: 205
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 Intermediate Status:
% 44.41/44.80 Generated: 11572313
% 44.41/44.80 Kept: 49684
% 44.41/44.80 Inuse: 5430
% 44.41/44.80 Deleted: 984
% 44.41/44.80 Deletedinuse: 205
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 Intermediate Status:
% 44.41/44.80 Generated: 12122425
% 44.41/44.80 Kept: 51690
% 44.41/44.80 Inuse: 5581
% 44.41/44.80 Deleted: 985
% 44.41/44.80 Deletedinuse: 205
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 Intermediate Status:
% 44.41/44.80 Generated: 12753546
% 44.41/44.80 Kept: 53696
% 44.41/44.80 Inuse: 5768
% 44.41/44.80 Deleted: 986
% 44.41/44.80 Deletedinuse: 205
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 Intermediate Status:
% 44.41/44.80 Generated: 13200603
% 44.41/44.80 Kept: 55710
% 44.41/44.80 Inuse: 5887
% 44.41/44.80 Deleted: 986
% 44.41/44.80 Deletedinuse: 205
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 Intermediate Status:
% 44.41/44.80 Generated: 13537666
% 44.41/44.80 Kept: 57712
% 44.41/44.80 Inuse: 5982
% 44.41/44.80 Deleted: 988
% 44.41/44.80 Deletedinuse: 207
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 Intermediate Status:
% 44.41/44.80 Generated: 14702021
% 44.41/44.80 Kept: 59748
% 44.41/44.80 Inuse: 6238
% 44.41/44.80 Deleted: 988
% 44.41/44.80 Deletedinuse: 207
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80 Resimplifying clauses:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 Intermediate Status:
% 44.41/44.80 Generated: 15359058
% 44.41/44.80 Kept: 64397
% 44.41/44.80 Inuse: 6398
% 44.41/44.80 Deleted: 1172
% 44.41/44.80 Deletedinuse: 207
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 Intermediate Status:
% 44.41/44.80 Generated: 15567327
% 44.41/44.80 Kept: 66413
% 44.41/44.80 Inuse: 6445
% 44.41/44.80 Deleted: 1172
% 44.41/44.80 Deletedinuse: 207
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 Intermediate Status:
% 44.41/44.80 Generated: 15784946
% 44.41/44.80 Kept: 68955
% 44.41/44.80 Inuse: 6498
% 44.41/44.80 Deleted: 1173
% 44.41/44.80 Deletedinuse: 207
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 Intermediate Status:
% 44.41/44.80 Generated: 16024454
% 44.41/44.80 Kept: 71447
% 44.41/44.80 Inuse: 6556
% 44.41/44.80 Deleted: 1173
% 44.41/44.80 Deletedinuse: 207
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 Intermediate Status:
% 44.41/44.80 Generated: 16470186
% 44.41/44.80 Kept: 73450
% 44.41/44.80 Inuse: 6654
% 44.41/44.80 Deleted: 1173
% 44.41/44.80 Deletedinuse: 207
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 Intermediate Status:
% 44.41/44.80 Generated: 16706296
% 44.41/44.80 Kept: 75462
% 44.41/44.80 Inuse: 6713
% 44.41/44.80 Deleted: 1173
% 44.41/44.80 Deletedinuse: 207
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 Intermediate Status:
% 44.41/44.80 Generated: 17078074
% 44.41/44.80 Kept: 77467
% 44.41/44.80 Inuse: 6806
% 44.41/44.80 Deleted: 1173
% 44.41/44.80 Deletedinuse: 207
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 Intermediate Status:
% 44.41/44.80 Generated: 17583870
% 44.41/44.80 Kept: 79480
% 44.41/44.80 Inuse: 6916
% 44.41/44.80 Deleted: 1173
% 44.41/44.80 Deletedinuse: 207
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80 Resimplifying clauses:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 Intermediate Status:
% 44.41/44.80 Generated: 18145905
% 44.41/44.80 Kept: 81485
% 44.41/44.80 Inuse: 7057
% 44.41/44.80 Deleted: 1193
% 44.41/44.80 Deletedinuse: 207
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80 Resimplifying inuse:
% 44.41/44.80 Done
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 Intermediate Status:
% 44.41/44.80 Generated: 18655033
% 44.41/44.80 Kept: 83502
% 44.41/44.80 Inuse: 7184
% 44.41/44.80 Deleted: 1193
% 44.41/44.80 Deletedinuse: 207
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 Bliksems!, er is een bewijs:
% 44.41/44.80 % SZS status Unsatisfiable
% 44.41/44.80 % SZS output start Refutation
% 44.41/44.80
% 44.41/44.80 clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 1, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true, ifeq(
% 44.41/44.80 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ), true ) ]
% 44.41/44.80 )
% 44.41/44.80 .
% 44.41/44.80 clause( 2, [ =( 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 44.41/44.80 Y, Z ), implies( X, Z ) ) ) ), true ) ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 3, [ =( 'is_a_theorem'( implies( implies( not( X ), X ), X ) ),
% 44.41/44.80 true ) ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 4, [ =( 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ),
% 44.41/44.80 true ) ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 5, [ ~( =( 'is_a_theorem'( implies( implies( x, not( y ) ), implies(
% 44.41/44.80 y, not( x ) ) ) ), true ) ) ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 6, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 44.41/44.80 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true ),
% 44.41/44.80 true ) ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 7, [ =( ifeq( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 44.41/44.80 implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ), true,
% 44.41/44.80 'is_a_theorem'( T ), true ), true ) ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 10, [ =( ifeq( 'is_a_theorem'( implies( implies( implies( not( X )
% 44.41/44.80 , X ), X ), Y ) ), true, 'is_a_theorem'( Y ), true ), true ) ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 23, [ =( 'is_a_theorem'( implies( implies( implies( implies( Y, Z )
% 44.41/44.80 , implies( X, Z ) ), T ), implies( implies( X, Y ), T ) ) ), true ) ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 24, [ =( 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 44.41/44.80 not( X ), X ), Y ) ) ), true ) ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 25, [ =( 'is_a_theorem'( implies( implies( implies( not( X ), Y ),
% 44.41/44.80 Z ), implies( X, Z ) ) ), true ) ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 32, [ =( ifeq( 'is_a_theorem'( implies( implies( not( X ), Y ), Z )
% 44.41/44.80 ), true, 'is_a_theorem'( implies( X, Z ) ), true ), true ) ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 33, [ =( ifeq( 'is_a_theorem'( implies( implies( implies( implies(
% 44.41/44.80 not( X ), Y ), Z ), implies( X, Z ) ), T ) ), true, 'is_a_theorem'( T ),
% 44.41/44.80 true ), true ) ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 34, [ =( 'is_a_theorem'( implies( implies( implies( implies( not( X
% 44.41/44.80 ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ), true ) ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 39, [ =( 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 44.41/44.80 implies( not( X ), Z ) ) ) ), true ) ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 42, [ =( ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( implies(
% 44.41/44.80 implies( Y, Z ), implies( not( X ), Z ) ) ), true ), true ) ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 55, [ =( 'is_a_theorem'( implies( X, X ) ), true ) ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 57, [ =( 'is_a_theorem'( implies( implies( Y, Z ), implies( not(
% 44.41/44.80 implies( X, X ) ), Z ) ) ), true ) ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 77, [ =( 'is_a_theorem'( implies( X, implies( not( implies( Z, Z )
% 44.41/44.80 ), Y ) ) ), true ) ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 83, [ =( 'is_a_theorem'( implies( implies( implies( not( implies( Y
% 44.41/44.80 , Y ) ), Z ), T ), implies( X, T ) ) ), true ) ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 102, [ =( 'is_a_theorem'( implies( Y, implies( X, X ) ) ), true ) ]
% 44.41/44.80 )
% 44.41/44.80 .
% 44.41/44.80 clause( 108, [ =( 'is_a_theorem'( implies( implies( implies( Y, Y ), Z ),
% 44.41/44.80 implies( X, Z ) ) ), true ) ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 116, [ =( 'is_a_theorem'( implies( implies( implies( Z, Y ), T ),
% 44.41/44.80 implies( implies( implies( X, X ), Y ), T ) ) ), true ) ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 118, [ =( ifeq( 'is_a_theorem'( implies( implies( X, X ), Y ) ),
% 44.41/44.80 true, 'is_a_theorem'( implies( Z, Y ) ), true ), true ) ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 128, [ =( 'is_a_theorem'( implies( Y, implies( implies( not( X ), X
% 44.41/44.80 ), X ) ) ), true ) ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 139, [ =( 'is_a_theorem'( implies( implies( implies( implies( not(
% 44.41/44.80 Y ), Y ), Y ), Z ), implies( X, Z ) ) ), true ) ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 199, [ =( 'is_a_theorem'( implies( implies( implies( Z, Y ), T ),
% 44.41/44.80 implies( implies( implies( implies( not( X ), X ), X ), Y ), T ) ) ),
% 44.41/44.80 true ) ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 246, [ =( 'is_a_theorem'( implies( implies( Z, not( X ) ), implies(
% 44.41/44.80 X, implies( Z, Y ) ) ) ), true ) ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 248, [ =( 'is_a_theorem'( implies( X, implies( Y, implies( not( X )
% 44.41/44.80 , Z ) ) ) ), true ) ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 250, [ =( 'is_a_theorem'( implies( implies( implies( Y, implies( X
% 44.41/44.80 , Z ) ), T ), implies( implies( X, not( Y ) ), T ) ) ), true ) ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 261, [ =( 'is_a_theorem'( implies( implies( implies( Y, implies(
% 44.41/44.80 not( X ), Z ) ), T ), implies( X, T ) ) ), true ) ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 314, [ =( ifeq( 'is_a_theorem'( implies( implies( implies( not( X )
% 44.41/44.80 , X ), Y ), Z ) ), true, 'is_a_theorem'( implies( implies( X, Y ), Z ) )
% 44.41/44.80 , true ), true ) ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 325, [ =( 'is_a_theorem'( implies( Y, implies( implies( implies(
% 44.41/44.80 not( Y ), Z ), T ), implies( X, T ) ) ) ), true ) ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 346, [ =( 'is_a_theorem'( implies( implies( implies( implies(
% 44.41/44.80 implies( not( X ), Y ), Z ), implies( T, Z ) ), U ), implies( X, U ) ) )
% 44.41/44.80 , true ) ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 404, [ =( 'is_a_theorem'( implies( implies( implies( Y, Y ), X ), X
% 44.41/44.80 ) ), true ) ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 408, [ =( ifeq( 'is_a_theorem'( implies( implies( X, Y ), Z ) ),
% 44.41/44.80 true, 'is_a_theorem'( implies( implies( implies( T, T ), Y ), Z ) ), true
% 44.41/44.80 ), true ) ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 415, [ =( ifeq( 'is_a_theorem'( implies( implies( implies( implies(
% 44.41/44.80 X, X ), Y ), Y ), Z ) ), true, 'is_a_theorem'( Z ), true ), true ) ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 653, [ =( ifeq( 'is_a_theorem'( implies( implies( X, implies( Y, Z
% 44.41/44.80 ) ), T ) ), true, 'is_a_theorem'( implies( implies( Y, not( X ) ), T ) )
% 44.41/44.80 , true ), true ) ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 1575, [ =( 'is_a_theorem'( implies( implies( implies( implies( not(
% 44.41/44.80 Z ), Z ), Z ), Y ), Y ) ), true ) ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 1589, [ =( ifeq( 'is_a_theorem'( implies( implies( implies( implies(
% 44.41/44.80 implies( not( X ), X ), X ), Y ), Y ), Z ) ), true, 'is_a_theorem'( Z ),
% 44.41/44.80 true ), true ) ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 3432, [ =( 'is_a_theorem'( implies( X, implies( Y, X ) ) ), true )
% 44.41/44.80 ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 3434, [ =( 'is_a_theorem'( implies( implies( Y, implies( not( X ),
% 44.41/44.80 X ) ), implies( Y, X ) ) ), true ) ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 3487, [ =( 'is_a_theorem'( implies( implies( implies( Y, X ), Z ),
% 44.41/44.80 implies( X, Z ) ) ), true ) ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 3628, [ =( ifeq( 'is_a_theorem'( implies( implies( X, Y ), Z ) ),
% 44.41/44.80 true, 'is_a_theorem'( implies( Y, Z ) ), true ), true ) ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 3817, [ =( 'is_a_theorem'( implies( implies( not( Y ), not( X ) ),
% 44.41/44.80 implies( X, Y ) ) ), true ) ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 3852, [ =( 'is_a_theorem'( implies( implies( implies( Z, Z ), not(
% 44.41/44.80 Y ) ), implies( Y, X ) ) ), true ) ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 3867, [ =( ifeq( 'is_a_theorem'( implies( implies( implies( not( X
% 44.41/44.80 ), not( Y ) ), implies( Y, X ) ), Z ) ), true, 'is_a_theorem'( Z ), true
% 44.41/44.80 ), true ) ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 4156, [ =( 'is_a_theorem'( implies( not( Y ), implies( Y, Z ) ) ),
% 44.41/44.80 true ) ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 4370, [ =( 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 44.41/44.80 implies( not( X ), Z ) ) ), true ) ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 4568, [ =( 'is_a_theorem'( implies( implies( X, Y ), implies( not(
% 44.41/44.80 not( X ) ), Y ) ) ), true ) ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 5117, [ =( 'is_a_theorem'( implies( implies( implies( not( not( X )
% 44.41/44.80 ), Y ), Z ), implies( implies( X, Y ), Z ) ) ), true ) ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 83701, [ =( 'is_a_theorem'( implies( implies( X, not( Y ) ),
% 44.41/44.80 implies( Y, not( X ) ) ) ), true ) ] )
% 44.41/44.80 .
% 44.41/44.80 clause( 83730, [] )
% 44.41/44.80 .
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 % SZS output end Refutation
% 44.41/44.80 found a proof!
% 44.41/44.80
% 44.41/44.80 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 44.41/44.80
% 44.41/44.80 initialclauses(
% 44.41/44.80 [ clause( 83732, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.80 , clause( 83733, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true, ifeq(
% 44.41/44.80 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ), true ) ]
% 44.41/44.80 )
% 44.41/44.80 , clause( 83734, [ =( 'is_a_theorem'( implies( implies( X, Y ), implies(
% 44.41/44.80 implies( Y, Z ), implies( X, Z ) ) ) ), true ) ] )
% 44.41/44.80 , clause( 83735, [ =( 'is_a_theorem'( implies( implies( not( X ), X ), X )
% 44.41/44.80 ), true ) ] )
% 44.41/44.80 , clause( 83736, [ =( 'is_a_theorem'( implies( X, implies( not( X ), Y ) )
% 44.41/44.80 ), true ) ] )
% 44.41/44.80 , clause( 83737, [ ~( =( 'is_a_theorem'( implies( implies( x, not( y ) ),
% 44.41/44.80 implies( y, not( x ) ) ) ), true ) ) ] )
% 44.41/44.80 ] ).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 subsumption(
% 44.41/44.80 clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.80 , clause( 83732, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.80 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 44.41/44.80 permutation( 0, [ ==>( 0, 0 )] ) ).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 subsumption(
% 44.41/44.80 clause( 1, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true, ifeq(
% 44.41/44.80 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ), true ) ]
% 44.41/44.80 )
% 44.41/44.80 , clause( 83733, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true, ifeq(
% 44.41/44.80 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ), true ) ]
% 44.41/44.80 )
% 44.41/44.80 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 44.41/44.80 )] ) ).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 subsumption(
% 44.41/44.80 clause( 2, [ =( 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 44.41/44.80 Y, Z ), implies( X, Z ) ) ) ), true ) ] )
% 44.41/44.80 , clause( 83734, [ =( 'is_a_theorem'( implies( implies( X, Y ), implies(
% 44.41/44.80 implies( Y, Z ), implies( X, Z ) ) ) ), true ) ] )
% 44.41/44.80 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 44.41/44.80 permutation( 0, [ ==>( 0, 0 )] ) ).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 subsumption(
% 44.41/44.80 clause( 3, [ =( 'is_a_theorem'( implies( implies( not( X ), X ), X ) ),
% 44.41/44.80 true ) ] )
% 44.41/44.80 , clause( 83735, [ =( 'is_a_theorem'( implies( implies( not( X ), X ), X )
% 44.41/44.80 ), true ) ] )
% 44.41/44.80 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 subsumption(
% 44.41/44.80 clause( 4, [ =( 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ),
% 44.41/44.80 true ) ] )
% 44.41/44.80 , clause( 83736, [ =( 'is_a_theorem'( implies( X, implies( not( X ), Y ) )
% 44.41/44.80 ), true ) ] )
% 44.41/44.80 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 44.41/44.80 )] ) ).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 subsumption(
% 44.41/44.80 clause( 5, [ ~( =( 'is_a_theorem'( implies( implies( x, not( y ) ), implies(
% 44.41/44.80 y, not( x ) ) ) ), true ) ) ] )
% 44.41/44.80 , clause( 83737, [ ~( =( 'is_a_theorem'( implies( implies( x, not( y ) ),
% 44.41/44.80 implies( y, not( x ) ) ) ), true ) ) ] )
% 44.41/44.80 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 eqswap(
% 44.41/44.80 clause( 83760, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 44.41/44.80 ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ) ) ]
% 44.41/44.80 )
% 44.41/44.80 , clause( 1, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true, ifeq(
% 44.41/44.80 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ), true ) ]
% 44.41/44.80 )
% 44.41/44.80 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 paramod(
% 44.41/44.80 clause( 83762, [ =( true, ifeq( true, true, ifeq( 'is_a_theorem'( implies(
% 44.41/44.80 X, Y ) ), true, 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z )
% 44.41/44.80 ) ), true ), true ) ) ] )
% 44.41/44.80 , clause( 2, [ =( 'is_a_theorem'( implies( implies( X, Y ), implies(
% 44.41/44.80 implies( Y, Z ), implies( X, Z ) ) ) ), true ) ] )
% 44.41/44.80 , 0, clause( 83760, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ),
% 44.41/44.80 true, ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true
% 44.41/44.80 ) ) ] )
% 44.41/44.80 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 44.41/44.80 substitution( 1, [ :=( X, implies( X, Y ) ), :=( Y, implies( implies( Y,
% 44.41/44.80 Z ), implies( X, Z ) ) )] )).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 paramod(
% 44.41/44.80 clause( 83767, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 44.41/44.80 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true ) ) ]
% 44.41/44.80 )
% 44.41/44.80 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.80 , 0, clause( 83762, [ =( true, ifeq( true, true, ifeq( 'is_a_theorem'(
% 44.41/44.80 implies( X, Y ) ), true, 'is_a_theorem'( implies( implies( Y, Z ),
% 44.41/44.80 implies( X, Z ) ) ), true ), true ) ) ] )
% 44.41/44.80 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, ifeq( 'is_a_theorem'(
% 44.41/44.80 implies( X, Y ) ), true, 'is_a_theorem'( implies( implies( Y, Z ),
% 44.41/44.80 implies( X, Z ) ) ), true ) ), :=( Z, true )] ), substitution( 1, [ :=( X
% 44.41/44.80 , X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 eqswap(
% 44.41/44.80 clause( 83768, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 44.41/44.80 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true ),
% 44.41/44.80 true ) ] )
% 44.41/44.80 , clause( 83767, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 44.41/44.80 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true ) ) ]
% 44.41/44.80 )
% 44.41/44.80 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 subsumption(
% 44.41/44.80 clause( 6, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 44.41/44.80 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true ),
% 44.41/44.80 true ) ] )
% 44.41/44.80 , clause( 83768, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 44.41/44.80 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true ),
% 44.41/44.80 true ) ] )
% 44.41/44.80 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 44.41/44.80 permutation( 0, [ ==>( 0, 0 )] ) ).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 eqswap(
% 44.41/44.80 clause( 83770, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 44.41/44.80 ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ) ) ]
% 44.41/44.80 )
% 44.41/44.80 , clause( 1, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true, ifeq(
% 44.41/44.80 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ), true ) ]
% 44.41/44.80 )
% 44.41/44.80 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 paramod(
% 44.41/44.80 clause( 83773, [ =( true, ifeq( 'is_a_theorem'( implies( implies( implies(
% 44.41/44.80 X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ), true, ifeq(
% 44.41/44.80 true, true, 'is_a_theorem'( T ), true ), true ) ) ] )
% 44.41/44.80 , clause( 2, [ =( 'is_a_theorem'( implies( implies( X, Y ), implies(
% 44.41/44.80 implies( Y, Z ), implies( X, Z ) ) ) ), true ) ] )
% 44.41/44.80 , 0, clause( 83770, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ),
% 44.41/44.80 true, ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true
% 44.41/44.80 ) ) ] )
% 44.41/44.80 , 0, 19, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 44.41/44.80 substitution( 1, [ :=( X, implies( implies( X, Y ), implies( implies( Y,
% 44.41/44.80 Z ), implies( X, Z ) ) ) ), :=( Y, T )] )).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 paramod(
% 44.41/44.80 clause( 83775, [ =( true, ifeq( 'is_a_theorem'( implies( implies( implies(
% 44.41/44.80 X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ), true,
% 44.41/44.80 'is_a_theorem'( T ), true ) ) ] )
% 44.41/44.80 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.80 , 0, clause( 83773, [ =( true, ifeq( 'is_a_theorem'( implies( implies(
% 44.41/44.80 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ),
% 44.41/44.80 true, ifeq( true, true, 'is_a_theorem'( T ), true ), true ) ) ] )
% 44.41/44.80 , 0, 18, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( T ) ),
% 44.41/44.80 :=( Z, true )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ),
% 44.41/44.80 :=( T, T )] )).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 eqswap(
% 44.41/44.80 clause( 83776, [ =( ifeq( 'is_a_theorem'( implies( implies( implies( X, Y )
% 44.41/44.80 , implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ), true,
% 44.41/44.80 'is_a_theorem'( T ), true ), true ) ] )
% 44.41/44.80 , clause( 83775, [ =( true, ifeq( 'is_a_theorem'( implies( implies( implies(
% 44.41/44.80 X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ), true,
% 44.41/44.80 'is_a_theorem'( T ), true ) ) ] )
% 44.41/44.80 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 44.41/44.80 ).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 subsumption(
% 44.41/44.80 clause( 7, [ =( ifeq( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 44.41/44.80 implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ), true,
% 44.41/44.80 'is_a_theorem'( T ), true ), true ) ] )
% 44.41/44.80 , clause( 83776, [ =( ifeq( 'is_a_theorem'( implies( implies( implies( X, Y
% 44.41/44.80 ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ), true,
% 44.41/44.80 'is_a_theorem'( T ), true ), true ) ] )
% 44.41/44.80 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 44.41/44.80 permutation( 0, [ ==>( 0, 0 )] ) ).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 eqswap(
% 44.41/44.80 clause( 83778, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 44.41/44.80 ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ) ) ]
% 44.41/44.80 )
% 44.41/44.80 , clause( 1, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true, ifeq(
% 44.41/44.80 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ), true ) ]
% 44.41/44.80 )
% 44.41/44.80 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 paramod(
% 44.41/44.80 clause( 83781, [ =( true, ifeq( 'is_a_theorem'( implies( implies( implies(
% 44.41/44.80 not( X ), X ), X ), Y ) ), true, ifeq( true, true, 'is_a_theorem'( Y ),
% 44.41/44.80 true ), true ) ) ] )
% 44.41/44.80 , clause( 3, [ =( 'is_a_theorem'( implies( implies( not( X ), X ), X ) ),
% 44.41/44.80 true ) ] )
% 44.41/44.80 , 0, clause( 83778, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ),
% 44.41/44.80 true, ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true
% 44.41/44.80 ) ) ] )
% 44.41/44.80 , 0, 14, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 44.41/44.80 implies( implies( not( X ), X ), X ) ), :=( Y, Y )] )).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 paramod(
% 44.41/44.80 clause( 83783, [ =( true, ifeq( 'is_a_theorem'( implies( implies( implies(
% 44.41/44.80 not( X ), X ), X ), Y ) ), true, 'is_a_theorem'( Y ), true ) ) ] )
% 44.41/44.80 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.80 , 0, clause( 83781, [ =( true, ifeq( 'is_a_theorem'( implies( implies(
% 44.41/44.80 implies( not( X ), X ), X ), Y ) ), true, ifeq( true, true,
% 44.41/44.80 'is_a_theorem'( Y ), true ), true ) ) ] )
% 44.41/44.80 , 0, 13, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( Y ) ),
% 44.41/44.80 :=( Z, true )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 eqswap(
% 44.41/44.80 clause( 83784, [ =( ifeq( 'is_a_theorem'( implies( implies( implies( not( X
% 44.41/44.80 ), X ), X ), Y ) ), true, 'is_a_theorem'( Y ), true ), true ) ] )
% 44.41/44.80 , clause( 83783, [ =( true, ifeq( 'is_a_theorem'( implies( implies( implies(
% 44.41/44.80 not( X ), X ), X ), Y ) ), true, 'is_a_theorem'( Y ), true ) ) ] )
% 44.41/44.80 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 subsumption(
% 44.41/44.80 clause( 10, [ =( ifeq( 'is_a_theorem'( implies( implies( implies( not( X )
% 44.41/44.80 , X ), X ), Y ) ), true, 'is_a_theorem'( Y ), true ), true ) ] )
% 44.41/44.80 , clause( 83784, [ =( ifeq( 'is_a_theorem'( implies( implies( implies( not(
% 44.41/44.80 X ), X ), X ), Y ) ), true, 'is_a_theorem'( Y ), true ), true ) ] )
% 44.41/44.80 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 44.41/44.80 )] ) ).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 eqswap(
% 44.41/44.80 clause( 83786, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 44.41/44.80 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true ) ) ]
% 44.41/44.80 )
% 44.41/44.80 , clause( 6, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 44.41/44.80 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true ),
% 44.41/44.80 true ) ] )
% 44.41/44.80 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 paramod(
% 44.41/44.80 clause( 83788, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 44.41/44.80 implies( implies( implies( Y, Z ), implies( X, Z ) ), T ), implies(
% 44.41/44.80 implies( X, Y ), T ) ) ), true ) ) ] )
% 44.41/44.80 , clause( 2, [ =( 'is_a_theorem'( implies( implies( X, Y ), implies(
% 44.41/44.80 implies( Y, Z ), implies( X, Z ) ) ) ), true ) ] )
% 44.41/44.80 , 0, clause( 83786, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ),
% 44.41/44.80 true, 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true
% 44.41/44.80 ) ) ] )
% 44.41/44.80 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 44.41/44.80 substitution( 1, [ :=( X, implies( X, Y ) ), :=( Y, implies( implies( Y,
% 44.41/44.80 Z ), implies( X, Z ) ) ), :=( Z, T )] )).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 paramod(
% 44.41/44.80 clause( 83790, [ =( true, 'is_a_theorem'( implies( implies( implies(
% 44.41/44.80 implies( X, Y ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) )
% 44.41/44.80 ) ) ] )
% 44.41/44.80 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.80 , 0, clause( 83788, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 44.41/44.80 implies( implies( implies( Y, Z ), implies( X, Z ) ), T ), implies(
% 44.41/44.80 implies( X, Y ), T ) ) ), true ) ) ] )
% 44.41/44.80 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies(
% 44.41/44.80 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 44.41/44.80 implies( Z, X ), T ) ) ) ), :=( Z, true )] ), substitution( 1, [ :=( X, Z
% 44.41/44.80 ), :=( Y, X ), :=( Z, Y ), :=( T, T )] )).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 eqswap(
% 44.41/44.80 clause( 83791, [ =( 'is_a_theorem'( implies( implies( implies( implies( X,
% 44.41/44.80 Y ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ), true ) ]
% 44.41/44.80 )
% 44.41/44.80 , clause( 83790, [ =( true, 'is_a_theorem'( implies( implies( implies(
% 44.41/44.80 implies( X, Y ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) )
% 44.41/44.80 ) ) ] )
% 44.41/44.80 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 44.41/44.80 ).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 subsumption(
% 44.41/44.80 clause( 23, [ =( 'is_a_theorem'( implies( implies( implies( implies( Y, Z )
% 44.41/44.80 , implies( X, Z ) ), T ), implies( implies( X, Y ), T ) ) ), true ) ] )
% 44.41/44.80 , clause( 83791, [ =( 'is_a_theorem'( implies( implies( implies( implies( X
% 44.41/44.80 , Y ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ), true )
% 44.41/44.80 ] )
% 44.41/44.80 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, T )] ),
% 44.41/44.80 permutation( 0, [ ==>( 0, 0 )] ) ).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 eqswap(
% 44.41/44.80 clause( 83793, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 44.41/44.80 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true ) ) ]
% 44.41/44.80 )
% 44.41/44.80 , clause( 6, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 44.41/44.80 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true ),
% 44.41/44.80 true ) ] )
% 44.41/44.80 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 paramod(
% 44.41/44.80 clause( 83795, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 44.41/44.80 implies( X, Y ), implies( implies( not( X ), X ), Y ) ) ), true ) ) ] )
% 44.41/44.80 , clause( 3, [ =( 'is_a_theorem'( implies( implies( not( X ), X ), X ) ),
% 44.41/44.80 true ) ] )
% 44.41/44.80 , 0, clause( 83793, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ),
% 44.41/44.80 true, 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true
% 44.41/44.80 ) ) ] )
% 44.41/44.80 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, implies(
% 44.41/44.80 not( X ), X ) ), :=( Y, X ), :=( Z, Y )] )).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 paramod(
% 44.41/44.80 clause( 83796, [ =( true, 'is_a_theorem'( implies( implies( X, Y ), implies(
% 44.41/44.80 implies( not( X ), X ), Y ) ) ) ) ] )
% 44.41/44.80 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.80 , 0, clause( 83795, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 44.41/44.80 implies( X, Y ), implies( implies( not( X ), X ), Y ) ) ), true ) ) ] )
% 44.41/44.80 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies(
% 44.41/44.80 implies( X, Y ), implies( implies( not( X ), X ), Y ) ) ) ), :=( Z, true
% 44.41/44.80 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 eqswap(
% 44.41/44.80 clause( 83797, [ =( 'is_a_theorem'( implies( implies( X, Y ), implies(
% 44.41/44.80 implies( not( X ), X ), Y ) ) ), true ) ] )
% 44.41/44.80 , clause( 83796, [ =( true, 'is_a_theorem'( implies( implies( X, Y ),
% 44.41/44.80 implies( implies( not( X ), X ), Y ) ) ) ) ] )
% 44.41/44.80 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 subsumption(
% 44.41/44.80 clause( 24, [ =( 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 44.41/44.80 not( X ), X ), Y ) ) ), true ) ] )
% 44.41/44.80 , clause( 83797, [ =( 'is_a_theorem'( implies( implies( X, Y ), implies(
% 44.41/44.80 implies( not( X ), X ), Y ) ) ), true ) ] )
% 44.41/44.80 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 44.41/44.80 )] ) ).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 eqswap(
% 44.41/44.80 clause( 83799, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 44.41/44.80 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true ) ) ]
% 44.41/44.80 )
% 44.41/44.80 , clause( 6, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 44.41/44.80 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true ),
% 44.41/44.80 true ) ] )
% 44.41/44.80 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 paramod(
% 44.41/44.80 clause( 83801, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 44.41/44.80 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ) ), true ) ) ] )
% 44.41/44.80 , clause( 4, [ =( 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ),
% 44.41/44.80 true ) ] )
% 44.41/44.80 , 0, clause( 83799, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ),
% 44.41/44.80 true, 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true
% 44.41/44.80 ) ) ] )
% 44.41/44.80 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 44.41/44.80 :=( X, X ), :=( Y, implies( not( X ), Y ) ), :=( Z, Z )] )).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 paramod(
% 44.41/44.80 clause( 83803, [ =( true, 'is_a_theorem'( implies( implies( implies( not( X
% 44.41/44.80 ), Y ), Z ), implies( X, Z ) ) ) ) ] )
% 44.41/44.80 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.80 , 0, clause( 83801, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 44.41/44.80 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ) ), true ) ) ] )
% 44.41/44.80 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies(
% 44.41/44.80 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ) ) ), :=( Z, true
% 44.41/44.80 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 eqswap(
% 44.41/44.80 clause( 83804, [ =( 'is_a_theorem'( implies( implies( implies( not( X ), Y
% 44.41/44.80 ), Z ), implies( X, Z ) ) ), true ) ] )
% 44.41/44.80 , clause( 83803, [ =( true, 'is_a_theorem'( implies( implies( implies( not(
% 44.41/44.80 X ), Y ), Z ), implies( X, Z ) ) ) ) ] )
% 44.41/44.80 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 subsumption(
% 44.41/44.80 clause( 25, [ =( 'is_a_theorem'( implies( implies( implies( not( X ), Y ),
% 44.41/44.80 Z ), implies( X, Z ) ) ), true ) ] )
% 44.41/44.80 , clause( 83804, [ =( 'is_a_theorem'( implies( implies( implies( not( X ),
% 44.41/44.80 Y ), Z ), implies( X, Z ) ) ), true ) ] )
% 44.41/44.80 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 44.41/44.80 permutation( 0, [ ==>( 0, 0 )] ) ).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 eqswap(
% 44.41/44.80 clause( 83806, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 44.41/44.80 ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ) ) ]
% 44.41/44.80 )
% 44.41/44.80 , clause( 1, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true, ifeq(
% 44.41/44.80 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ), true ) ]
% 44.41/44.80 )
% 44.41/44.80 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 paramod(
% 44.41/44.80 clause( 83808, [ =( true, ifeq( true, true, ifeq( 'is_a_theorem'( implies(
% 44.41/44.80 implies( not( X ), Y ), Z ) ), true, 'is_a_theorem'( implies( X, Z ) ),
% 44.41/44.80 true ), true ) ) ] )
% 44.41/44.80 , clause( 25, [ =( 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 44.41/44.80 , Z ), implies( X, Z ) ) ), true ) ] )
% 44.41/44.80 , 0, clause( 83806, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ),
% 44.41/44.80 true, ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true
% 44.41/44.80 ) ) ] )
% 44.41/44.80 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 44.41/44.80 substitution( 1, [ :=( X, implies( implies( not( X ), Y ), Z ) ), :=( Y,
% 44.41/44.80 implies( X, Z ) )] )).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 paramod(
% 44.41/44.80 clause( 83813, [ =( true, ifeq( 'is_a_theorem'( implies( implies( not( X )
% 44.41/44.80 , Y ), Z ) ), true, 'is_a_theorem'( implies( X, Z ) ), true ) ) ] )
% 44.41/44.80 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.80 , 0, clause( 83808, [ =( true, ifeq( true, true, ifeq( 'is_a_theorem'(
% 44.41/44.80 implies( implies( not( X ), Y ), Z ) ), true, 'is_a_theorem'( implies( X
% 44.41/44.80 , Z ) ), true ), true ) ) ] )
% 44.41/44.80 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, ifeq( 'is_a_theorem'(
% 44.41/44.80 implies( implies( not( X ), Y ), Z ) ), true, 'is_a_theorem'( implies( X
% 44.41/44.80 , Z ) ), true ) ), :=( Z, true )] ), substitution( 1, [ :=( X, X ), :=( Y
% 44.41/44.80 , Y ), :=( Z, Z )] )).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 eqswap(
% 44.41/44.80 clause( 83814, [ =( ifeq( 'is_a_theorem'( implies( implies( not( X ), Y ),
% 44.41/44.80 Z ) ), true, 'is_a_theorem'( implies( X, Z ) ), true ), true ) ] )
% 44.41/44.80 , clause( 83813, [ =( true, ifeq( 'is_a_theorem'( implies( implies( not( X
% 44.41/44.80 ), Y ), Z ) ), true, 'is_a_theorem'( implies( X, Z ) ), true ) ) ] )
% 44.41/44.80 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 subsumption(
% 44.41/44.80 clause( 32, [ =( ifeq( 'is_a_theorem'( implies( implies( not( X ), Y ), Z )
% 44.41/44.80 ), true, 'is_a_theorem'( implies( X, Z ) ), true ), true ) ] )
% 44.41/44.80 , clause( 83814, [ =( ifeq( 'is_a_theorem'( implies( implies( not( X ), Y )
% 44.41/44.80 , Z ) ), true, 'is_a_theorem'( implies( X, Z ) ), true ), true ) ] )
% 44.41/44.80 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 44.41/44.80 permutation( 0, [ ==>( 0, 0 )] ) ).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 eqswap(
% 44.41/44.80 clause( 83816, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 44.41/44.80 ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ) ) ]
% 44.41/44.80 )
% 44.41/44.80 , clause( 1, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true, ifeq(
% 44.41/44.80 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ), true ) ]
% 44.41/44.80 )
% 44.41/44.80 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 paramod(
% 44.41/44.80 clause( 83819, [ =( true, ifeq( 'is_a_theorem'( implies( implies( implies(
% 44.41/44.80 implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ), true, ifeq( true,
% 44.41/44.80 true, 'is_a_theorem'( T ), true ), true ) ) ] )
% 44.41/44.80 , clause( 25, [ =( 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 44.41/44.80 , Z ), implies( X, Z ) ) ), true ) ] )
% 44.41/44.80 , 0, clause( 83816, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ),
% 44.41/44.80 true, ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true
% 44.41/44.80 ) ) ] )
% 44.41/44.80 , 0, 18, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 44.41/44.80 substitution( 1, [ :=( X, implies( implies( implies( not( X ), Y ), Z ),
% 44.41/44.80 implies( X, Z ) ) ), :=( Y, T )] )).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 paramod(
% 44.41/44.80 clause( 83821, [ =( true, ifeq( 'is_a_theorem'( implies( implies( implies(
% 44.41/44.80 implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ), true,
% 44.41/44.80 'is_a_theorem'( T ), true ) ) ] )
% 44.41/44.80 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.80 , 0, clause( 83819, [ =( true, ifeq( 'is_a_theorem'( implies( implies(
% 44.41/44.80 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ), true,
% 44.41/44.80 ifeq( true, true, 'is_a_theorem'( T ), true ), true ) ) ] )
% 44.41/44.80 , 0, 17, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( T ) ),
% 44.41/44.80 :=( Z, true )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ),
% 44.41/44.80 :=( T, T )] )).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 eqswap(
% 44.41/44.80 clause( 83822, [ =( ifeq( 'is_a_theorem'( implies( implies( implies(
% 44.41/44.80 implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ), true,
% 44.41/44.80 'is_a_theorem'( T ), true ), true ) ] )
% 44.41/44.80 , clause( 83821, [ =( true, ifeq( 'is_a_theorem'( implies( implies( implies(
% 44.41/44.80 implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ), true,
% 44.41/44.80 'is_a_theorem'( T ), true ) ) ] )
% 44.41/44.80 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 44.41/44.80 ).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 subsumption(
% 44.41/44.80 clause( 33, [ =( ifeq( 'is_a_theorem'( implies( implies( implies( implies(
% 44.41/44.80 not( X ), Y ), Z ), implies( X, Z ) ), T ) ), true, 'is_a_theorem'( T ),
% 44.41/44.80 true ), true ) ] )
% 44.41/44.80 , clause( 83822, [ =( ifeq( 'is_a_theorem'( implies( implies( implies(
% 44.41/44.80 implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ), true,
% 44.41/44.80 'is_a_theorem'( T ), true ), true ) ] )
% 44.41/44.80 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 44.41/44.80 permutation( 0, [ ==>( 0, 0 )] ) ).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 eqswap(
% 44.41/44.80 clause( 83824, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 44.41/44.80 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true ) ) ]
% 44.41/44.80 )
% 44.41/44.80 , clause( 6, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 44.41/44.80 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true ),
% 44.41/44.80 true ) ] )
% 44.41/44.80 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 paramod(
% 44.41/44.80 clause( 83826, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 44.41/44.80 implies( implies( implies( not( X ), X ), Y ), Z ), implies( implies( X,
% 44.41/44.80 Y ), Z ) ) ), true ) ) ] )
% 44.41/44.80 , clause( 24, [ =( 'is_a_theorem'( implies( implies( X, Y ), implies(
% 44.41/44.80 implies( not( X ), X ), Y ) ) ), true ) ] )
% 44.41/44.80 , 0, clause( 83824, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ),
% 44.41/44.80 true, 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true
% 44.41/44.80 ) ) ] )
% 44.41/44.80 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 44.41/44.80 :=( X, implies( X, Y ) ), :=( Y, implies( implies( not( X ), X ), Y ) ),
% 44.41/44.80 :=( Z, Z )] )).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 paramod(
% 44.41/44.80 clause( 83828, [ =( true, 'is_a_theorem'( implies( implies( implies(
% 44.41/44.80 implies( not( X ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ) ]
% 44.41/44.80 )
% 44.41/44.80 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.80 , 0, clause( 83826, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 44.41/44.80 implies( implies( implies( not( X ), X ), Y ), Z ), implies( implies( X,
% 44.41/44.80 Y ), Z ) ) ), true ) ) ] )
% 44.41/44.80 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies(
% 44.41/44.80 implies( implies( implies( not( X ), X ), Y ), Z ), implies( implies( X,
% 44.41/44.80 Y ), Z ) ) ) ), :=( Z, true )] ), substitution( 1, [ :=( X, X ), :=( Y, Y
% 44.41/44.80 ), :=( Z, Z )] )).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 eqswap(
% 44.41/44.80 clause( 83829, [ =( 'is_a_theorem'( implies( implies( implies( implies( not(
% 44.41/44.80 X ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ), true ) ] )
% 44.41/44.80 , clause( 83828, [ =( true, 'is_a_theorem'( implies( implies( implies(
% 44.41/44.80 implies( not( X ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ) ]
% 44.41/44.80 )
% 44.41/44.80 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 subsumption(
% 44.41/44.80 clause( 34, [ =( 'is_a_theorem'( implies( implies( implies( implies( not( X
% 44.41/44.80 ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ), true ) ] )
% 44.41/44.80 , clause( 83829, [ =( 'is_a_theorem'( implies( implies( implies( implies(
% 44.41/44.80 not( X ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ), true ) ] )
% 44.41/44.80 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 44.41/44.80 permutation( 0, [ ==>( 0, 0 )] ) ).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 eqswap(
% 44.41/44.80 clause( 83831, [ =( true, ifeq( 'is_a_theorem'( implies( implies( implies(
% 44.41/44.80 X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ), true,
% 44.41/44.80 'is_a_theorem'( T ), true ) ) ] )
% 44.41/44.80 , clause( 7, [ =( ifeq( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 44.41/44.80 implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ), true,
% 44.41/44.80 'is_a_theorem'( T ), true ), true ) ] )
% 44.41/44.80 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 44.41/44.80 ).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 paramod(
% 44.41/44.80 clause( 83833, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( X,
% 44.41/44.80 implies( implies( Y, Z ), implies( not( X ), Z ) ) ) ), true ) ) ] )
% 44.41/44.80 , clause( 25, [ =( 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 44.41/44.80 , Z ), implies( X, Z ) ) ), true ) ] )
% 44.41/44.80 , 0, clause( 83831, [ =( true, ifeq( 'is_a_theorem'( implies( implies(
% 44.41/44.80 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ),
% 44.41/44.80 true, 'is_a_theorem'( T ), true ) ) ] )
% 44.41/44.80 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( implies(
% 44.41/44.80 Y, Z ), implies( not( X ), Z ) ) )] ), substitution( 1, [ :=( X, not( X )
% 44.41/44.80 ), :=( Y, Y ), :=( Z, Z ), :=( T, implies( X, implies( implies( Y, Z ),
% 44.41/44.80 implies( not( X ), Z ) ) ) )] )).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 paramod(
% 44.41/44.80 clause( 83835, [ =( true, 'is_a_theorem'( implies( X, implies( implies( Y,
% 44.41/44.80 Z ), implies( not( X ), Z ) ) ) ) ) ] )
% 44.41/44.80 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.80 , 0, clause( 83833, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( X
% 44.41/44.80 , implies( implies( Y, Z ), implies( not( X ), Z ) ) ) ), true ) ) ] )
% 44.41/44.80 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies( X
% 44.41/44.80 , implies( implies( Y, Z ), implies( not( X ), Z ) ) ) ) ), :=( Z, true )] )
% 44.41/44.80 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 eqswap(
% 44.41/44.80 clause( 83836, [ =( 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 44.41/44.80 implies( not( X ), Z ) ) ) ), true ) ] )
% 44.41/44.80 , clause( 83835, [ =( true, 'is_a_theorem'( implies( X, implies( implies( Y
% 44.41/44.80 , Z ), implies( not( X ), Z ) ) ) ) ) ] )
% 44.41/44.80 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 subsumption(
% 44.41/44.80 clause( 39, [ =( 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 44.41/44.80 implies( not( X ), Z ) ) ) ), true ) ] )
% 44.41/44.80 , clause( 83836, [ =( 'is_a_theorem'( implies( X, implies( implies( Y, Z )
% 44.41/44.80 , implies( not( X ), Z ) ) ) ), true ) ] )
% 44.41/44.80 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 44.41/44.80 permutation( 0, [ ==>( 0, 0 )] ) ).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 eqswap(
% 44.41/44.80 clause( 83838, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 44.41/44.80 ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ) ) ]
% 44.41/44.80 )
% 44.41/44.80 , clause( 1, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true, ifeq(
% 44.41/44.80 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ), true ) ]
% 44.41/44.80 )
% 44.41/44.80 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 paramod(
% 44.41/44.80 clause( 83840, [ =( true, ifeq( true, true, ifeq( 'is_a_theorem'( X ), true
% 44.41/44.80 , 'is_a_theorem'( implies( implies( Y, Z ), implies( not( X ), Z ) ) ),
% 44.41/44.80 true ), true ) ) ] )
% 44.41/44.80 , clause( 39, [ =( 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 44.41/44.80 implies( not( X ), Z ) ) ) ), true ) ] )
% 44.41/44.80 , 0, clause( 83838, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ),
% 44.41/44.80 true, ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true
% 44.41/44.80 ) ) ] )
% 44.41/44.80 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 44.41/44.80 substitution( 1, [ :=( X, X ), :=( Y, implies( implies( Y, Z ), implies(
% 44.41/44.80 not( X ), Z ) ) )] )).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 paramod(
% 44.41/44.80 clause( 83845, [ =( true, ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'(
% 44.41/44.80 implies( implies( Y, Z ), implies( not( X ), Z ) ) ), true ) ) ] )
% 44.41/44.80 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.80 , 0, clause( 83840, [ =( true, ifeq( true, true, ifeq( 'is_a_theorem'( X )
% 44.41/44.80 , true, 'is_a_theorem'( implies( implies( Y, Z ), implies( not( X ), Z )
% 44.41/44.80 ) ), true ), true ) ) ] )
% 44.41/44.80 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, ifeq( 'is_a_theorem'( X )
% 44.41/44.80 , true, 'is_a_theorem'( implies( implies( Y, Z ), implies( not( X ), Z )
% 44.41/44.80 ) ), true ) ), :=( Z, true )] ), substitution( 1, [ :=( X, X ), :=( Y, Y
% 44.41/44.80 ), :=( Z, Z )] )).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 eqswap(
% 44.41/44.80 clause( 83846, [ =( ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'(
% 44.41/44.80 implies( implies( Y, Z ), implies( not( X ), Z ) ) ), true ), true ) ] )
% 44.41/44.80 , clause( 83845, [ =( true, ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'(
% 44.41/44.80 implies( implies( Y, Z ), implies( not( X ), Z ) ) ), true ) ) ] )
% 44.41/44.80 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 subsumption(
% 44.41/44.80 clause( 42, [ =( ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( implies(
% 44.41/44.80 implies( Y, Z ), implies( not( X ), Z ) ) ), true ), true ) ] )
% 44.41/44.80 , clause( 83846, [ =( ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'(
% 44.41/44.80 implies( implies( Y, Z ), implies( not( X ), Z ) ) ), true ), true ) ] )
% 44.41/44.80 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 44.41/44.80 permutation( 0, [ ==>( 0, 0 )] ) ).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 eqswap(
% 44.41/44.80 clause( 83848, [ =( true, ifeq( 'is_a_theorem'( implies( implies( not( X )
% 44.41/44.80 , Y ), Z ) ), true, 'is_a_theorem'( implies( X, Z ) ), true ) ) ] )
% 44.41/44.80 , clause( 32, [ =( ifeq( 'is_a_theorem'( implies( implies( not( X ), Y ), Z
% 44.41/44.80 ) ), true, 'is_a_theorem'( implies( X, Z ) ), true ), true ) ] )
% 44.41/44.80 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 paramod(
% 44.41/44.80 clause( 83850, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( X, X )
% 44.41/44.80 ), true ) ) ] )
% 44.41/44.80 , clause( 3, [ =( 'is_a_theorem'( implies( implies( not( X ), X ), X ) ),
% 44.41/44.80 true ) ] )
% 44.41/44.80 , 0, clause( 83848, [ =( true, ifeq( 'is_a_theorem'( implies( implies( not(
% 44.41/44.80 X ), Y ), Z ) ), true, 'is_a_theorem'( implies( X, Z ) ), true ) ) ] )
% 44.41/44.80 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 44.41/44.80 :=( Y, X ), :=( Z, X )] )).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 paramod(
% 44.41/44.80 clause( 83852, [ =( true, 'is_a_theorem'( implies( X, X ) ) ) ] )
% 44.41/44.80 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.80 , 0, clause( 83850, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( X
% 44.41/44.80 , X ) ), true ) ) ] )
% 44.41/44.80 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies( X
% 44.41/44.80 , X ) ) ), :=( Z, true )] ), substitution( 1, [ :=( X, X )] )).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 eqswap(
% 44.41/44.80 clause( 83853, [ =( 'is_a_theorem'( implies( X, X ) ), true ) ] )
% 44.41/44.80 , clause( 83852, [ =( true, 'is_a_theorem'( implies( X, X ) ) ) ] )
% 44.41/44.80 , 0, substitution( 0, [ :=( X, X )] )).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 subsumption(
% 44.41/44.80 clause( 55, [ =( 'is_a_theorem'( implies( X, X ) ), true ) ] )
% 44.41/44.80 , clause( 83853, [ =( 'is_a_theorem'( implies( X, X ) ), true ) ] )
% 44.41/44.80 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 eqswap(
% 44.41/44.80 clause( 83855, [ =( true, ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'(
% 44.41/44.80 implies( implies( Y, Z ), implies( not( X ), Z ) ) ), true ) ) ] )
% 44.41/44.80 , clause( 42, [ =( ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( implies(
% 44.41/44.80 implies( Y, Z ), implies( not( X ), Z ) ) ), true ), true ) ] )
% 44.41/44.80 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 paramod(
% 44.41/44.80 clause( 83857, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 44.41/44.80 implies( Y, Z ), implies( not( implies( X, X ) ), Z ) ) ), true ) ) ] )
% 44.41/44.80 , clause( 55, [ =( 'is_a_theorem'( implies( X, X ) ), true ) ] )
% 44.41/44.80 , 0, clause( 83855, [ =( true, ifeq( 'is_a_theorem'( X ), true,
% 44.41/44.80 'is_a_theorem'( implies( implies( Y, Z ), implies( not( X ), Z ) ) ),
% 44.41/44.80 true ) ) ] )
% 44.41/44.80 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, implies(
% 44.41/44.80 X, X ) ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 paramod(
% 44.41/44.80 clause( 83859, [ =( true, 'is_a_theorem'( implies( implies( X, Y ), implies(
% 44.41/44.80 not( implies( Z, Z ) ), Y ) ) ) ) ] )
% 44.41/44.80 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.80 , 0, clause( 83857, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 44.41/44.80 implies( Y, Z ), implies( not( implies( X, X ) ), Z ) ) ), true ) ) ] )
% 44.41/44.80 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies(
% 44.41/44.80 implies( X, Y ), implies( not( implies( Z, Z ) ), Y ) ) ) ), :=( Z, true
% 44.41/44.80 )] ), substitution( 1, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 eqswap(
% 44.41/44.80 clause( 83860, [ =( 'is_a_theorem'( implies( implies( X, Y ), implies( not(
% 44.41/44.80 implies( Z, Z ) ), Y ) ) ), true ) ] )
% 44.41/44.80 , clause( 83859, [ =( true, 'is_a_theorem'( implies( implies( X, Y ),
% 44.41/44.80 implies( not( implies( Z, Z ) ), Y ) ) ) ) ] )
% 44.41/44.80 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 subsumption(
% 44.41/44.80 clause( 57, [ =( 'is_a_theorem'( implies( implies( Y, Z ), implies( not(
% 44.41/44.80 implies( X, X ) ), Z ) ) ), true ) ] )
% 44.41/44.80 , clause( 83860, [ =( 'is_a_theorem'( implies( implies( X, Y ), implies(
% 44.41/44.80 not( implies( Z, Z ) ), Y ) ) ), true ) ] )
% 44.41/44.80 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 44.41/44.80 permutation( 0, [ ==>( 0, 0 )] ) ).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 eqswap(
% 44.41/44.80 clause( 83862, [ =( true, ifeq( 'is_a_theorem'( implies( implies( not( X )
% 44.41/44.80 , Y ), Z ) ), true, 'is_a_theorem'( implies( X, Z ) ), true ) ) ] )
% 44.41/44.80 , clause( 32, [ =( ifeq( 'is_a_theorem'( implies( implies( not( X ), Y ), Z
% 44.41/44.80 ) ), true, 'is_a_theorem'( implies( X, Z ) ), true ), true ) ] )
% 44.41/44.80 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.80
% 44.41/44.80
% 44.41/44.80 paramod(
% 44.41/44.80 clause( 83864, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( X,
% 44.41/44.80 implies( not( implies( Z, Z ) ), Y ) ) ), true ) ) ] )
% 44.41/44.80 , clause( 57, [ =( 'is_a_theorem'( implies( implies( Y, Z ), implies( not(
% 44.41/44.81 implies( X, X ) ), Z ) ) ), true ) ] )
% 44.41/44.81 , 0, clause( 83862, [ =( true, ifeq( 'is_a_theorem'( implies( implies( not(
% 44.41/44.81 X ), Y ), Z ) ), true, 'is_a_theorem'( implies( X, Z ) ), true ) ) ] )
% 44.41/44.81 , 0, 3, substitution( 0, [ :=( X, Z ), :=( Y, not( X ) ), :=( Z, Y )] ),
% 44.41/44.81 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( not( implies(
% 44.41/44.81 Z, Z ) ), Y ) )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 83866, [ =( true, 'is_a_theorem'( implies( X, implies( not( implies(
% 44.41/44.81 Y, Y ) ), Z ) ) ) ) ] )
% 44.41/44.81 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.81 , 0, clause( 83864, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( X
% 44.41/44.81 , implies( not( implies( Z, Z ) ), Y ) ) ), true ) ) ] )
% 44.41/44.81 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies( X
% 44.41/44.81 , implies( not( implies( Y, Y ) ), Z ) ) ) ), :=( Z, true )] ),
% 44.41/44.81 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 83867, [ =( 'is_a_theorem'( implies( X, implies( not( implies( Y, Y
% 44.41/44.81 ) ), Z ) ) ), true ) ] )
% 44.41/44.81 , clause( 83866, [ =( true, 'is_a_theorem'( implies( X, implies( not(
% 44.41/44.81 implies( Y, Y ) ), Z ) ) ) ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 subsumption(
% 44.41/44.81 clause( 77, [ =( 'is_a_theorem'( implies( X, implies( not( implies( Z, Z )
% 44.41/44.81 ), Y ) ) ), true ) ] )
% 44.41/44.81 , clause( 83867, [ =( 'is_a_theorem'( implies( X, implies( not( implies( Y
% 44.41/44.81 , Y ) ), Z ) ) ), true ) ] )
% 44.41/44.81 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 44.41/44.81 permutation( 0, [ ==>( 0, 0 )] ) ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 83869, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 44.41/44.81 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true ) ) ]
% 44.41/44.81 )
% 44.41/44.81 , clause( 6, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 44.41/44.81 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true ),
% 44.41/44.81 true ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 83871, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 44.41/44.81 implies( implies( not( implies( Y, Y ) ), Z ), T ), implies( X, T ) ) ),
% 44.41/44.81 true ) ) ] )
% 44.41/44.81 , clause( 77, [ =( 'is_a_theorem'( implies( X, implies( not( implies( Z, Z
% 44.41/44.81 ) ), Y ) ) ), true ) ] )
% 44.41/44.81 , 0, clause( 83869, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ),
% 44.41/44.81 true, 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true
% 44.41/44.81 ) ) ] )
% 44.41/44.81 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 44.41/44.81 substitution( 1, [ :=( X, X ), :=( Y, implies( not( implies( Y, Y ) ), Z
% 44.41/44.81 ) ), :=( Z, T )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 83873, [ =( true, 'is_a_theorem'( implies( implies( implies( not(
% 44.41/44.81 implies( X, X ) ), Y ), Z ), implies( T, Z ) ) ) ) ] )
% 44.41/44.81 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.81 , 0, clause( 83871, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 44.41/44.81 implies( implies( not( implies( Y, Y ) ), Z ), T ), implies( X, T ) ) ),
% 44.41/44.81 true ) ) ] )
% 44.41/44.81 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies(
% 44.41/44.81 implies( implies( not( implies( X, X ) ), Y ), Z ), implies( T, Z ) ) ) )
% 44.41/44.81 , :=( Z, true )] ), substitution( 1, [ :=( X, T ), :=( Y, X ), :=( Z, Y )
% 44.41/44.81 , :=( T, Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 83874, [ =( 'is_a_theorem'( implies( implies( implies( not( implies(
% 44.41/44.81 X, X ) ), Y ), Z ), implies( T, Z ) ) ), true ) ] )
% 44.41/44.81 , clause( 83873, [ =( true, 'is_a_theorem'( implies( implies( implies( not(
% 44.41/44.81 implies( X, X ) ), Y ), Z ), implies( T, Z ) ) ) ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 44.41/44.81 ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 subsumption(
% 44.41/44.81 clause( 83, [ =( 'is_a_theorem'( implies( implies( implies( not( implies( Y
% 44.41/44.81 , Y ) ), Z ), T ), implies( X, T ) ) ), true ) ] )
% 44.41/44.81 , clause( 83874, [ =( 'is_a_theorem'( implies( implies( implies( not(
% 44.41/44.81 implies( X, X ) ), Y ), Z ), implies( T, Z ) ) ), true ) ] )
% 44.41/44.81 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, X )] ),
% 44.41/44.81 permutation( 0, [ ==>( 0, 0 )] ) ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 83876, [ =( true, ifeq( 'is_a_theorem'( implies( implies( implies(
% 44.41/44.81 not( X ), X ), X ), Y ) ), true, 'is_a_theorem'( Y ), true ) ) ] )
% 44.41/44.81 , clause( 10, [ =( ifeq( 'is_a_theorem'( implies( implies( implies( not( X
% 44.41/44.81 ), X ), X ), Y ) ), true, 'is_a_theorem'( Y ), true ), true ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 83878, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( Y,
% 44.41/44.81 implies( X, X ) ) ), true ) ) ] )
% 44.41/44.81 , clause( 83, [ =( 'is_a_theorem'( implies( implies( implies( not( implies(
% 44.41/44.81 Y, Y ) ), Z ), T ), implies( X, T ) ) ), true ) ] )
% 44.41/44.81 , 0, clause( 83876, [ =( true, ifeq( 'is_a_theorem'( implies( implies(
% 44.41/44.81 implies( not( X ), X ), X ), Y ) ), true, 'is_a_theorem'( Y ), true ) ) ]
% 44.41/44.81 )
% 44.41/44.81 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, implies( X, X ) )
% 44.41/44.81 , :=( T, implies( X, X ) )] ), substitution( 1, [ :=( X, implies( X, X )
% 44.41/44.81 ), :=( Y, implies( Y, implies( X, X ) ) )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 83880, [ =( true, 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) )
% 44.41/44.81 ] )
% 44.41/44.81 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.81 , 0, clause( 83878, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( Y
% 44.41/44.81 , implies( X, X ) ) ), true ) ) ] )
% 44.41/44.81 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies( X
% 44.41/44.81 , implies( Y, Y ) ) ) ), :=( Z, true )] ), substitution( 1, [ :=( X, Y )
% 44.41/44.81 , :=( Y, X )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 83881, [ =( 'is_a_theorem'( implies( X, implies( Y, Y ) ) ), true )
% 44.41/44.81 ] )
% 44.41/44.81 , clause( 83880, [ =( true, 'is_a_theorem'( implies( X, implies( Y, Y ) ) )
% 44.41/44.81 ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 subsumption(
% 44.41/44.81 clause( 102, [ =( 'is_a_theorem'( implies( Y, implies( X, X ) ) ), true ) ]
% 44.41/44.81 )
% 44.41/44.81 , clause( 83881, [ =( 'is_a_theorem'( implies( X, implies( Y, Y ) ) ), true
% 44.41/44.81 ) ] )
% 44.41/44.81 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 44.41/44.81 )] ) ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 83883, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 44.41/44.81 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true ) ) ]
% 44.41/44.81 )
% 44.41/44.81 , clause( 6, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 44.41/44.81 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true ),
% 44.41/44.81 true ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 83885, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 44.41/44.81 implies( implies( Y, Y ), Z ), implies( X, Z ) ) ), true ) ) ] )
% 44.41/44.81 , clause( 102, [ =( 'is_a_theorem'( implies( Y, implies( X, X ) ) ), true )
% 44.41/44.81 ] )
% 44.41/44.81 , 0, clause( 83883, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ),
% 44.41/44.81 true, 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true
% 44.41/44.81 ) ) ] )
% 44.41/44.81 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 44.41/44.81 :=( X, X ), :=( Y, implies( Y, Y ) ), :=( Z, Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 83887, [ =( true, 'is_a_theorem'( implies( implies( implies( X, X )
% 44.41/44.81 , Y ), implies( Z, Y ) ) ) ) ] )
% 44.41/44.81 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.81 , 0, clause( 83885, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 44.41/44.81 implies( implies( Y, Y ), Z ), implies( X, Z ) ) ), true ) ) ] )
% 44.41/44.81 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies(
% 44.41/44.81 implies( implies( X, X ), Y ), implies( Z, Y ) ) ) ), :=( Z, true )] ),
% 44.41/44.81 substitution( 1, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 83888, [ =( 'is_a_theorem'( implies( implies( implies( X, X ), Y )
% 44.41/44.81 , implies( Z, Y ) ) ), true ) ] )
% 44.41/44.81 , clause( 83887, [ =( true, 'is_a_theorem'( implies( implies( implies( X, X
% 44.41/44.81 ), Y ), implies( Z, Y ) ) ) ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 subsumption(
% 44.41/44.81 clause( 108, [ =( 'is_a_theorem'( implies( implies( implies( Y, Y ), Z ),
% 44.41/44.81 implies( X, Z ) ) ), true ) ] )
% 44.41/44.81 , clause( 83888, [ =( 'is_a_theorem'( implies( implies( implies( X, X ), Y
% 44.41/44.81 ), implies( Z, Y ) ) ), true ) ] )
% 44.41/44.81 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 44.41/44.81 permutation( 0, [ ==>( 0, 0 )] ) ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 83890, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 44.41/44.81 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true ) ) ]
% 44.41/44.81 )
% 44.41/44.81 , clause( 6, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 44.41/44.81 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true ),
% 44.41/44.81 true ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 83892, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 44.41/44.81 implies( implies( Z, Y ), T ), implies( implies( implies( X, X ), Y ), T
% 44.41/44.81 ) ) ), true ) ) ] )
% 44.41/44.81 , clause( 108, [ =( 'is_a_theorem'( implies( implies( implies( Y, Y ), Z )
% 44.41/44.81 , implies( X, Z ) ) ), true ) ] )
% 44.41/44.81 , 0, clause( 83890, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ),
% 44.41/44.81 true, 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true
% 44.41/44.81 ) ) ] )
% 44.41/44.81 , 0, 3, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 44.41/44.81 substitution( 1, [ :=( X, implies( implies( X, X ), Y ) ), :=( Y, implies(
% 44.41/44.81 Z, Y ) ), :=( Z, T )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 83894, [ =( true, 'is_a_theorem'( implies( implies( implies( X, Y )
% 44.41/44.81 , Z ), implies( implies( implies( T, T ), Y ), Z ) ) ) ) ] )
% 44.41/44.81 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.81 , 0, clause( 83892, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 44.41/44.81 implies( implies( Z, Y ), T ), implies( implies( implies( X, X ), Y ), T
% 44.41/44.81 ) ) ), true ) ) ] )
% 44.41/44.81 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies(
% 44.41/44.81 implies( implies( X, Y ), Z ), implies( implies( implies( T, T ), Y ), Z
% 44.41/44.81 ) ) ) ), :=( Z, true )] ), substitution( 1, [ :=( X, T ), :=( Y, Y ),
% 44.41/44.81 :=( Z, X ), :=( T, Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 83895, [ =( 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 44.41/44.81 , implies( implies( implies( T, T ), Y ), Z ) ) ), true ) ] )
% 44.41/44.81 , clause( 83894, [ =( true, 'is_a_theorem'( implies( implies( implies( X, Y
% 44.41/44.81 ), Z ), implies( implies( implies( T, T ), Y ), Z ) ) ) ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 44.41/44.81 ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 subsumption(
% 44.41/44.81 clause( 116, [ =( 'is_a_theorem'( implies( implies( implies( Z, Y ), T ),
% 44.41/44.81 implies( implies( implies( X, X ), Y ), T ) ) ), true ) ] )
% 44.41/44.81 , clause( 83895, [ =( 'is_a_theorem'( implies( implies( implies( X, Y ), Z
% 44.41/44.81 ), implies( implies( implies( T, T ), Y ), Z ) ) ), true ) ] )
% 44.41/44.81 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, T ), :=( T, X )] ),
% 44.41/44.81 permutation( 0, [ ==>( 0, 0 )] ) ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 83897, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 44.41/44.81 ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ) ) ]
% 44.41/44.81 )
% 44.41/44.81 , clause( 1, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true, ifeq(
% 44.41/44.81 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ), true ) ]
% 44.41/44.81 )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 83899, [ =( true, ifeq( true, true, ifeq( 'is_a_theorem'( implies(
% 44.41/44.81 implies( X, X ), Y ) ), true, 'is_a_theorem'( implies( Z, Y ) ), true ),
% 44.41/44.81 true ) ) ] )
% 44.41/44.81 , clause( 108, [ =( 'is_a_theorem'( implies( implies( implies( Y, Y ), Z )
% 44.41/44.81 , implies( X, Z ) ) ), true ) ] )
% 44.41/44.81 , 0, clause( 83897, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ),
% 44.41/44.81 true, ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true
% 44.41/44.81 ) ) ] )
% 44.41/44.81 , 0, 3, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 44.41/44.81 substitution( 1, [ :=( X, implies( implies( X, X ), Y ) ), :=( Y, implies(
% 44.41/44.81 Z, Y ) )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 83904, [ =( true, ifeq( 'is_a_theorem'( implies( implies( X, X ), Y
% 44.41/44.81 ) ), true, 'is_a_theorem'( implies( Z, Y ) ), true ) ) ] )
% 44.41/44.81 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.81 , 0, clause( 83899, [ =( true, ifeq( true, true, ifeq( 'is_a_theorem'(
% 44.41/44.81 implies( implies( X, X ), Y ) ), true, 'is_a_theorem'( implies( Z, Y ) )
% 44.41/44.81 , true ), true ) ) ] )
% 44.41/44.81 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, ifeq( 'is_a_theorem'(
% 44.41/44.81 implies( implies( X, X ), Y ) ), true, 'is_a_theorem'( implies( Z, Y ) )
% 44.41/44.81 , true ) ), :=( Z, true )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 44.41/44.81 :=( Z, Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 83905, [ =( ifeq( 'is_a_theorem'( implies( implies( X, X ), Y ) ),
% 44.41/44.81 true, 'is_a_theorem'( implies( Z, Y ) ), true ), true ) ] )
% 44.41/44.81 , clause( 83904, [ =( true, ifeq( 'is_a_theorem'( implies( implies( X, X )
% 44.41/44.81 , Y ) ), true, 'is_a_theorem'( implies( Z, Y ) ), true ) ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 subsumption(
% 44.41/44.81 clause( 118, [ =( ifeq( 'is_a_theorem'( implies( implies( X, X ), Y ) ),
% 44.41/44.81 true, 'is_a_theorem'( implies( Z, Y ) ), true ), true ) ] )
% 44.41/44.81 , clause( 83905, [ =( ifeq( 'is_a_theorem'( implies( implies( X, X ), Y ) )
% 44.41/44.81 , true, 'is_a_theorem'( implies( Z, Y ) ), true ), true ) ] )
% 44.41/44.81 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 44.41/44.81 permutation( 0, [ ==>( 0, 0 )] ) ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 83907, [ =( true, ifeq( 'is_a_theorem'( implies( implies( X, X ), Y
% 44.41/44.81 ) ), true, 'is_a_theorem'( implies( Z, Y ) ), true ) ) ] )
% 44.41/44.81 , clause( 118, [ =( ifeq( 'is_a_theorem'( implies( implies( X, X ), Y ) ),
% 44.41/44.81 true, 'is_a_theorem'( implies( Z, Y ) ), true ), true ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 83909, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( Y,
% 44.41/44.81 implies( implies( not( X ), X ), X ) ) ), true ) ) ] )
% 44.41/44.81 , clause( 24, [ =( 'is_a_theorem'( implies( implies( X, Y ), implies(
% 44.41/44.81 implies( not( X ), X ), Y ) ) ), true ) ] )
% 44.41/44.81 , 0, clause( 83907, [ =( true, ifeq( 'is_a_theorem'( implies( implies( X, X
% 44.41/44.81 ), Y ) ), true, 'is_a_theorem'( implies( Z, Y ) ), true ) ) ] )
% 44.41/44.81 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 44.41/44.81 :=( X, X ), :=( Y, implies( implies( not( X ), X ), X ) ), :=( Z, Y )] )
% 44.41/44.81 ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 83911, [ =( true, 'is_a_theorem'( implies( X, implies( implies( not(
% 44.41/44.81 Y ), Y ), Y ) ) ) ) ] )
% 44.41/44.81 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.81 , 0, clause( 83909, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( Y
% 44.41/44.81 , implies( implies( not( X ), X ), X ) ) ), true ) ) ] )
% 44.41/44.81 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies( X
% 44.41/44.81 , implies( implies( not( Y ), Y ), Y ) ) ) ), :=( Z, true )] ),
% 44.41/44.81 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 83912, [ =( 'is_a_theorem'( implies( X, implies( implies( not( Y )
% 44.41/44.81 , Y ), Y ) ) ), true ) ] )
% 44.41/44.81 , clause( 83911, [ =( true, 'is_a_theorem'( implies( X, implies( implies(
% 44.41/44.81 not( Y ), Y ), Y ) ) ) ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 subsumption(
% 44.41/44.81 clause( 128, [ =( 'is_a_theorem'( implies( Y, implies( implies( not( X ), X
% 44.41/44.81 ), X ) ) ), true ) ] )
% 44.41/44.81 , clause( 83912, [ =( 'is_a_theorem'( implies( X, implies( implies( not( Y
% 44.41/44.81 ), Y ), Y ) ) ), true ) ] )
% 44.41/44.81 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 44.41/44.81 )] ) ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 83914, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 44.41/44.81 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true ) ) ]
% 44.41/44.81 )
% 44.41/44.81 , clause( 6, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 44.41/44.81 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true ),
% 44.41/44.81 true ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 83916, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 44.41/44.81 implies( implies( implies( not( Y ), Y ), Y ), Z ), implies( X, Z ) ) ),
% 44.41/44.81 true ) ) ] )
% 44.41/44.81 , clause( 128, [ =( 'is_a_theorem'( implies( Y, implies( implies( not( X )
% 44.41/44.81 , X ), X ) ) ), true ) ] )
% 44.41/44.81 , 0, clause( 83914, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ),
% 44.41/44.81 true, 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true
% 44.41/44.81 ) ) ] )
% 44.41/44.81 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 44.41/44.81 :=( X, X ), :=( Y, implies( implies( not( Y ), Y ), Y ) ), :=( Z, Z )] )
% 44.41/44.81 ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 83918, [ =( true, 'is_a_theorem'( implies( implies( implies(
% 44.41/44.81 implies( not( X ), X ), X ), Y ), implies( Z, Y ) ) ) ) ] )
% 44.41/44.81 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.81 , 0, clause( 83916, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 44.41/44.81 implies( implies( implies( not( Y ), Y ), Y ), Z ), implies( X, Z ) ) ),
% 44.41/44.81 true ) ) ] )
% 44.41/44.81 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies(
% 44.41/44.81 implies( implies( implies( not( X ), X ), X ), Y ), implies( Z, Y ) ) ) )
% 44.41/44.81 , :=( Z, true )] ), substitution( 1, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )
% 44.41/44.81 ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 83919, [ =( 'is_a_theorem'( implies( implies( implies( implies( not(
% 44.41/44.81 X ), X ), X ), Y ), implies( Z, Y ) ) ), true ) ] )
% 44.41/44.81 , clause( 83918, [ =( true, 'is_a_theorem'( implies( implies( implies(
% 44.41/44.81 implies( not( X ), X ), X ), Y ), implies( Z, Y ) ) ) ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 subsumption(
% 44.41/44.81 clause( 139, [ =( 'is_a_theorem'( implies( implies( implies( implies( not(
% 44.41/44.81 Y ), Y ), Y ), Z ), implies( X, Z ) ) ), true ) ] )
% 44.41/44.81 , clause( 83919, [ =( 'is_a_theorem'( implies( implies( implies( implies(
% 44.41/44.81 not( X ), X ), X ), Y ), implies( Z, Y ) ) ), true ) ] )
% 44.41/44.81 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 44.41/44.81 permutation( 0, [ ==>( 0, 0 )] ) ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 83921, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 44.41/44.81 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true ) ) ]
% 44.41/44.81 )
% 44.41/44.81 , clause( 6, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 44.41/44.81 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true ),
% 44.41/44.81 true ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 83923, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 44.41/44.81 implies( implies( Z, Y ), T ), implies( implies( implies( implies( not( X
% 44.41/44.81 ), X ), X ), Y ), T ) ) ), true ) ) ] )
% 44.41/44.81 , clause( 139, [ =( 'is_a_theorem'( implies( implies( implies( implies( not(
% 44.41/44.81 Y ), Y ), Y ), Z ), implies( X, Z ) ) ), true ) ] )
% 44.41/44.81 , 0, clause( 83921, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ),
% 44.41/44.81 true, 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true
% 44.41/44.81 ) ) ] )
% 44.41/44.81 , 0, 3, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 44.41/44.81 substitution( 1, [ :=( X, implies( implies( implies( not( X ), X ), X ),
% 44.41/44.81 Y ) ), :=( Y, implies( Z, Y ) ), :=( Z, T )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 83925, [ =( true, 'is_a_theorem'( implies( implies( implies( X, Y )
% 44.41/44.81 , Z ), implies( implies( implies( implies( not( T ), T ), T ), Y ), Z ) )
% 44.41/44.81 ) ) ] )
% 44.41/44.81 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.81 , 0, clause( 83923, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 44.41/44.81 implies( implies( Z, Y ), T ), implies( implies( implies( implies( not( X
% 44.41/44.81 ), X ), X ), Y ), T ) ) ), true ) ) ] )
% 44.41/44.81 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies(
% 44.41/44.81 implies( implies( X, Y ), Z ), implies( implies( implies( implies( not( T
% 44.41/44.81 ), T ), T ), Y ), Z ) ) ) ), :=( Z, true )] ), substitution( 1, [ :=( X
% 44.41/44.81 , T ), :=( Y, Y ), :=( Z, X ), :=( T, Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 83926, [ =( 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 44.41/44.81 , implies( implies( implies( implies( not( T ), T ), T ), Y ), Z ) ) ),
% 44.41/44.81 true ) ] )
% 44.41/44.81 , clause( 83925, [ =( true, 'is_a_theorem'( implies( implies( implies( X, Y
% 44.41/44.81 ), Z ), implies( implies( implies( implies( not( T ), T ), T ), Y ), Z )
% 44.41/44.81 ) ) ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 44.41/44.81 ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 subsumption(
% 44.41/44.81 clause( 199, [ =( 'is_a_theorem'( implies( implies( implies( Z, Y ), T ),
% 44.41/44.81 implies( implies( implies( implies( not( X ), X ), X ), Y ), T ) ) ),
% 44.41/44.81 true ) ] )
% 44.41/44.81 , clause( 83926, [ =( 'is_a_theorem'( implies( implies( implies( X, Y ), Z
% 44.41/44.81 ), implies( implies( implies( implies( not( T ), T ), T ), Y ), Z ) ) )
% 44.41/44.81 , true ) ] )
% 44.41/44.81 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, T ), :=( T, X )] ),
% 44.41/44.81 permutation( 0, [ ==>( 0, 0 )] ) ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 83928, [ =( true, ifeq( 'is_a_theorem'( implies( implies( implies(
% 44.41/44.81 implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ), true,
% 44.41/44.81 'is_a_theorem'( T ), true ) ) ] )
% 44.41/44.81 , clause( 33, [ =( ifeq( 'is_a_theorem'( implies( implies( implies( implies(
% 44.41/44.81 not( X ), Y ), Z ), implies( X, Z ) ), T ) ), true, 'is_a_theorem'( T ),
% 44.41/44.81 true ), true ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 44.41/44.81 ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 83930, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 44.41/44.81 implies( Z, not( X ) ), implies( X, implies( Z, Y ) ) ) ), true ) ) ] )
% 44.41/44.81 , clause( 23, [ =( 'is_a_theorem'( implies( implies( implies( implies( Y, Z
% 44.41/44.81 ), implies( X, Z ) ), T ), implies( implies( X, Y ), T ) ) ), true ) ]
% 44.41/44.81 )
% 44.41/44.81 , 0, clause( 83928, [ =( true, ifeq( 'is_a_theorem'( implies( implies(
% 44.41/44.81 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ), true,
% 44.41/44.81 'is_a_theorem'( T ), true ) ) ] )
% 44.41/44.81 , 0, 3, substitution( 0, [ :=( X, Z ), :=( Y, not( X ) ), :=( Z, Y ), :=( T
% 44.41/44.81 , implies( X, implies( Z, Y ) ) )] ), substitution( 1, [ :=( X, X ), :=(
% 44.41/44.81 Y, Y ), :=( Z, implies( Z, Y ) ), :=( T, implies( implies( Z, not( X ) )
% 44.41/44.81 , implies( X, implies( Z, Y ) ) ) )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 83932, [ =( true, 'is_a_theorem'( implies( implies( X, not( Y ) ),
% 44.41/44.81 implies( Y, implies( X, Z ) ) ) ) ) ] )
% 44.41/44.81 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.81 , 0, clause( 83930, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 44.41/44.81 implies( Z, not( X ) ), implies( X, implies( Z, Y ) ) ) ), true ) ) ] )
% 44.41/44.81 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies(
% 44.41/44.81 implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ) ) ), :=( Z, true
% 44.41/44.81 )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 83933, [ =( 'is_a_theorem'( implies( implies( X, not( Y ) ),
% 44.41/44.81 implies( Y, implies( X, Z ) ) ) ), true ) ] )
% 44.41/44.81 , clause( 83932, [ =( true, 'is_a_theorem'( implies( implies( X, not( Y ) )
% 44.41/44.81 , implies( Y, implies( X, Z ) ) ) ) ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 subsumption(
% 44.41/44.81 clause( 246, [ =( 'is_a_theorem'( implies( implies( Z, not( X ) ), implies(
% 44.41/44.81 X, implies( Z, Y ) ) ) ), true ) ] )
% 44.41/44.81 , clause( 83933, [ =( 'is_a_theorem'( implies( implies( X, not( Y ) ),
% 44.41/44.81 implies( Y, implies( X, Z ) ) ) ), true ) ] )
% 44.41/44.81 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 44.41/44.81 permutation( 0, [ ==>( 0, 0 )] ) ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 83935, [ =( true, ifeq( 'is_a_theorem'( implies( implies( not( X )
% 44.41/44.81 , Y ), Z ) ), true, 'is_a_theorem'( implies( X, Z ) ), true ) ) ] )
% 44.41/44.81 , clause( 32, [ =( ifeq( 'is_a_theorem'( implies( implies( not( X ), Y ), Z
% 44.41/44.81 ) ), true, 'is_a_theorem'( implies( X, Z ) ), true ), true ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 83937, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( X,
% 44.41/44.81 implies( Y, implies( not( X ), Z ) ) ) ), true ) ) ] )
% 44.41/44.81 , clause( 246, [ =( 'is_a_theorem'( implies( implies( Z, not( X ) ),
% 44.41/44.81 implies( X, implies( Z, Y ) ) ) ), true ) ] )
% 44.41/44.81 , 0, clause( 83935, [ =( true, ifeq( 'is_a_theorem'( implies( implies( not(
% 44.41/44.81 X ), Y ), Z ) ), true, 'is_a_theorem'( implies( X, Z ) ), true ) ) ] )
% 44.41/44.81 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, not( X ) )] ),
% 44.41/44.81 substitution( 1, [ :=( X, X ), :=( Y, not( Y ) ), :=( Z, implies( Y,
% 44.41/44.81 implies( not( X ), Z ) ) )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 83939, [ =( true, 'is_a_theorem'( implies( X, implies( Y, implies(
% 44.41/44.81 not( X ), Z ) ) ) ) ) ] )
% 44.41/44.81 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.81 , 0, clause( 83937, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( X
% 44.41/44.81 , implies( Y, implies( not( X ), Z ) ) ) ), true ) ) ] )
% 44.41/44.81 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies( X
% 44.41/44.81 , implies( Y, implies( not( X ), Z ) ) ) ) ), :=( Z, true )] ),
% 44.41/44.81 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 83940, [ =( 'is_a_theorem'( implies( X, implies( Y, implies( not( X
% 44.41/44.81 ), Z ) ) ) ), true ) ] )
% 44.41/44.81 , clause( 83939, [ =( true, 'is_a_theorem'( implies( X, implies( Y, implies(
% 44.41/44.81 not( X ), Z ) ) ) ) ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 subsumption(
% 44.41/44.81 clause( 248, [ =( 'is_a_theorem'( implies( X, implies( Y, implies( not( X )
% 44.41/44.81 , Z ) ) ) ), true ) ] )
% 44.41/44.81 , clause( 83940, [ =( 'is_a_theorem'( implies( X, implies( Y, implies( not(
% 44.41/44.81 X ), Z ) ) ) ), true ) ] )
% 44.41/44.81 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 44.41/44.81 permutation( 0, [ ==>( 0, 0 )] ) ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 83942, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 44.41/44.81 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true ) ) ]
% 44.41/44.81 )
% 44.41/44.81 , clause( 6, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 44.41/44.81 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true ),
% 44.41/44.81 true ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 83944, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 44.41/44.81 implies( implies( Y, implies( X, Z ) ), T ), implies( implies( X, not( Y
% 44.41/44.81 ) ), T ) ) ), true ) ) ] )
% 44.41/44.81 , clause( 246, [ =( 'is_a_theorem'( implies( implies( Z, not( X ) ),
% 44.41/44.81 implies( X, implies( Z, Y ) ) ) ), true ) ] )
% 44.41/44.81 , 0, clause( 83942, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ),
% 44.41/44.81 true, 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true
% 44.41/44.81 ) ) ] )
% 44.41/44.81 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 44.41/44.81 substitution( 1, [ :=( X, implies( X, not( Y ) ) ), :=( Y, implies( Y,
% 44.41/44.81 implies( X, Z ) ) ), :=( Z, T )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 83945, [ =( true, 'is_a_theorem'( implies( implies( implies( X,
% 44.41/44.81 implies( Y, Z ) ), T ), implies( implies( Y, not( X ) ), T ) ) ) ) ] )
% 44.41/44.81 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.81 , 0, clause( 83944, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 44.41/44.81 implies( implies( Y, implies( X, Z ) ), T ), implies( implies( X, not( Y
% 44.41/44.81 ) ), T ) ) ), true ) ) ] )
% 44.41/44.81 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies(
% 44.41/44.81 implies( implies( X, implies( Y, Z ) ), T ), implies( implies( Y, not( X
% 44.41/44.81 ) ), T ) ) ) ), :=( Z, true )] ), substitution( 1, [ :=( X, Y ), :=( Y,
% 44.41/44.81 X ), :=( Z, Z ), :=( T, T )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 83946, [ =( 'is_a_theorem'( implies( implies( implies( X, implies(
% 44.41/44.81 Y, Z ) ), T ), implies( implies( Y, not( X ) ), T ) ) ), true ) ] )
% 44.41/44.81 , clause( 83945, [ =( true, 'is_a_theorem'( implies( implies( implies( X,
% 44.41/44.81 implies( Y, Z ) ), T ), implies( implies( Y, not( X ) ), T ) ) ) ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 44.41/44.81 ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 subsumption(
% 44.41/44.81 clause( 250, [ =( 'is_a_theorem'( implies( implies( implies( Y, implies( X
% 44.41/44.81 , Z ) ), T ), implies( implies( X, not( Y ) ), T ) ) ), true ) ] )
% 44.41/44.81 , clause( 83946, [ =( 'is_a_theorem'( implies( implies( implies( X, implies(
% 44.41/44.81 Y, Z ) ), T ), implies( implies( Y, not( X ) ), T ) ) ), true ) ] )
% 44.41/44.81 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, T )] ),
% 44.41/44.81 permutation( 0, [ ==>( 0, 0 )] ) ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 83948, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 44.41/44.81 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true ) ) ]
% 44.41/44.81 )
% 44.41/44.81 , clause( 6, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 44.41/44.81 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true ),
% 44.41/44.81 true ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 83950, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 44.41/44.81 implies( implies( Y, implies( not( X ), Z ) ), T ), implies( X, T ) ) ),
% 44.41/44.81 true ) ) ] )
% 44.41/44.81 , clause( 248, [ =( 'is_a_theorem'( implies( X, implies( Y, implies( not( X
% 44.41/44.81 ), Z ) ) ) ), true ) ] )
% 44.41/44.81 , 0, clause( 83948, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ),
% 44.41/44.81 true, 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true
% 44.41/44.81 ) ) ] )
% 44.41/44.81 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 44.41/44.81 substitution( 1, [ :=( X, X ), :=( Y, implies( Y, implies( not( X ), Z )
% 44.41/44.81 ) ), :=( Z, T )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 83951, [ =( true, 'is_a_theorem'( implies( implies( implies( X,
% 44.41/44.81 implies( not( Y ), Z ) ), T ), implies( Y, T ) ) ) ) ] )
% 44.41/44.81 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.81 , 0, clause( 83950, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 44.41/44.81 implies( implies( Y, implies( not( X ), Z ) ), T ), implies( X, T ) ) ),
% 44.41/44.81 true ) ) ] )
% 44.41/44.81 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies(
% 44.41/44.81 implies( implies( X, implies( not( Y ), Z ) ), T ), implies( Y, T ) ) ) )
% 44.41/44.81 , :=( Z, true )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )
% 44.41/44.81 , :=( T, T )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 83952, [ =( 'is_a_theorem'( implies( implies( implies( X, implies(
% 44.41/44.81 not( Y ), Z ) ), T ), implies( Y, T ) ) ), true ) ] )
% 44.41/44.81 , clause( 83951, [ =( true, 'is_a_theorem'( implies( implies( implies( X,
% 44.41/44.81 implies( not( Y ), Z ) ), T ), implies( Y, T ) ) ) ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 44.41/44.81 ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 subsumption(
% 44.41/44.81 clause( 261, [ =( 'is_a_theorem'( implies( implies( implies( Y, implies(
% 44.41/44.81 not( X ), Z ) ), T ), implies( X, T ) ) ), true ) ] )
% 44.41/44.81 , clause( 83952, [ =( 'is_a_theorem'( implies( implies( implies( X, implies(
% 44.41/44.81 not( Y ), Z ) ), T ), implies( Y, T ) ) ), true ) ] )
% 44.41/44.81 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, T )] ),
% 44.41/44.81 permutation( 0, [ ==>( 0, 0 )] ) ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 83954, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 44.41/44.81 ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ) ) ]
% 44.41/44.81 )
% 44.41/44.81 , clause( 1, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true, ifeq(
% 44.41/44.81 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ), true ) ]
% 44.41/44.81 )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 83956, [ =( true, ifeq( true, true, ifeq( 'is_a_theorem'( implies(
% 44.41/44.81 implies( implies( not( X ), X ), Y ), Z ) ), true, 'is_a_theorem'(
% 44.41/44.81 implies( implies( X, Y ), Z ) ), true ), true ) ) ] )
% 44.41/44.81 , clause( 34, [ =( 'is_a_theorem'( implies( implies( implies( implies( not(
% 44.41/44.81 X ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ), true ) ] )
% 44.41/44.81 , 0, clause( 83954, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ),
% 44.41/44.81 true, ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true
% 44.41/44.81 ) ) ] )
% 44.41/44.81 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 44.41/44.81 substitution( 1, [ :=( X, implies( implies( implies( not( X ), X ), Y ),
% 44.41/44.81 Z ) ), :=( Y, implies( implies( X, Y ), Z ) )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 83961, [ =( true, ifeq( 'is_a_theorem'( implies( implies( implies(
% 44.41/44.81 not( X ), X ), Y ), Z ) ), true, 'is_a_theorem'( implies( implies( X, Y )
% 44.41/44.81 , Z ) ), true ) ) ] )
% 44.41/44.81 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.81 , 0, clause( 83956, [ =( true, ifeq( true, true, ifeq( 'is_a_theorem'(
% 44.41/44.81 implies( implies( implies( not( X ), X ), Y ), Z ) ), true,
% 44.41/44.81 'is_a_theorem'( implies( implies( X, Y ), Z ) ), true ), true ) ) ] )
% 44.41/44.81 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, ifeq( 'is_a_theorem'(
% 44.41/44.81 implies( implies( implies( not( X ), X ), Y ), Z ) ), true,
% 44.41/44.81 'is_a_theorem'( implies( implies( X, Y ), Z ) ), true ) ), :=( Z, true )] )
% 44.41/44.81 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 83962, [ =( ifeq( 'is_a_theorem'( implies( implies( implies( not( X
% 44.41/44.81 ), X ), Y ), Z ) ), true, 'is_a_theorem'( implies( implies( X, Y ), Z )
% 44.41/44.81 ), true ), true ) ] )
% 44.41/44.81 , clause( 83961, [ =( true, ifeq( 'is_a_theorem'( implies( implies( implies(
% 44.41/44.81 not( X ), X ), Y ), Z ) ), true, 'is_a_theorem'( implies( implies( X, Y )
% 44.41/44.81 , Z ) ), true ) ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 subsumption(
% 44.41/44.81 clause( 314, [ =( ifeq( 'is_a_theorem'( implies( implies( implies( not( X )
% 44.41/44.81 , X ), Y ), Z ) ), true, 'is_a_theorem'( implies( implies( X, Y ), Z ) )
% 44.41/44.81 , true ), true ) ] )
% 44.41/44.81 , clause( 83962, [ =( ifeq( 'is_a_theorem'( implies( implies( implies( not(
% 44.41/44.81 X ), X ), Y ), Z ) ), true, 'is_a_theorem'( implies( implies( X, Y ), Z )
% 44.41/44.81 ), true ), true ) ] )
% 44.41/44.81 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 44.41/44.81 permutation( 0, [ ==>( 0, 0 )] ) ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 83964, [ =( true, ifeq( 'is_a_theorem'( implies( implies( implies(
% 44.41/44.81 X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ), true,
% 44.41/44.81 'is_a_theorem'( T ), true ) ) ] )
% 44.41/44.81 , clause( 7, [ =( ifeq( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 44.41/44.81 implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ), true,
% 44.41/44.81 'is_a_theorem'( T ), true ), true ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 44.41/44.81 ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 83966, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( Y,
% 44.41/44.81 implies( implies( implies( not( Y ), Z ), T ), implies( X, T ) ) ) ),
% 44.41/44.81 true ) ) ] )
% 44.41/44.81 , clause( 261, [ =( 'is_a_theorem'( implies( implies( implies( Y, implies(
% 44.41/44.81 not( X ), Z ) ), T ), implies( X, T ) ) ), true ) ] )
% 44.41/44.81 , 0, clause( 83964, [ =( true, ifeq( 'is_a_theorem'( implies( implies(
% 44.41/44.81 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ),
% 44.41/44.81 true, 'is_a_theorem'( T ), true ) ) ] )
% 44.41/44.81 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T,
% 44.41/44.81 implies( implies( implies( not( Y ), Z ), T ), implies( X, T ) ) )] ),
% 44.41/44.81 substitution( 1, [ :=( X, X ), :=( Y, implies( not( Y ), Z ) ), :=( Z, T
% 44.41/44.81 ), :=( T, implies( Y, implies( implies( implies( not( Y ), Z ), T ),
% 44.41/44.81 implies( X, T ) ) ) )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 83968, [ =( true, 'is_a_theorem'( implies( X, implies( implies(
% 44.41/44.81 implies( not( X ), Y ), Z ), implies( T, Z ) ) ) ) ) ] )
% 44.41/44.81 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.81 , 0, clause( 83966, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( Y
% 44.41/44.81 , implies( implies( implies( not( Y ), Z ), T ), implies( X, T ) ) ) ),
% 44.41/44.81 true ) ) ] )
% 44.41/44.81 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies( X
% 44.41/44.81 , implies( implies( implies( not( X ), Y ), Z ), implies( T, Z ) ) ) ) )
% 44.41/44.81 , :=( Z, true )] ), substitution( 1, [ :=( X, T ), :=( Y, X ), :=( Z, Y )
% 44.41/44.81 , :=( T, Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 83969, [ =( 'is_a_theorem'( implies( X, implies( implies( implies(
% 44.41/44.81 not( X ), Y ), Z ), implies( T, Z ) ) ) ), true ) ] )
% 44.41/44.81 , clause( 83968, [ =( true, 'is_a_theorem'( implies( X, implies( implies(
% 44.41/44.81 implies( not( X ), Y ), Z ), implies( T, Z ) ) ) ) ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 44.41/44.81 ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 subsumption(
% 44.41/44.81 clause( 325, [ =( 'is_a_theorem'( implies( Y, implies( implies( implies(
% 44.41/44.81 not( Y ), Z ), T ), implies( X, T ) ) ) ), true ) ] )
% 44.41/44.81 , clause( 83969, [ =( 'is_a_theorem'( implies( X, implies( implies( implies(
% 44.41/44.81 not( X ), Y ), Z ), implies( T, Z ) ) ) ), true ) ] )
% 44.41/44.81 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, X )] ),
% 44.41/44.81 permutation( 0, [ ==>( 0, 0 )] ) ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 83971, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 44.41/44.81 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true ) ) ]
% 44.41/44.81 )
% 44.41/44.81 , clause( 6, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 44.41/44.81 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true ),
% 44.41/44.81 true ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 83973, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 44.41/44.81 implies( implies( implies( implies( not( X ), Y ), Z ), implies( T, Z ) )
% 44.41/44.81 , U ), implies( X, U ) ) ), true ) ) ] )
% 44.41/44.81 , clause( 325, [ =( 'is_a_theorem'( implies( Y, implies( implies( implies(
% 44.41/44.81 not( Y ), Z ), T ), implies( X, T ) ) ) ), true ) ] )
% 44.41/44.81 , 0, clause( 83971, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ),
% 44.41/44.81 true, 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true
% 44.41/44.81 ) ) ] )
% 44.41/44.81 , 0, 3, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )
% 44.41/44.81 , substitution( 1, [ :=( X, X ), :=( Y, implies( implies( implies( not( X
% 44.41/44.81 ), Y ), Z ), implies( T, Z ) ) ), :=( Z, U )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 83975, [ =( true, 'is_a_theorem'( implies( implies( implies(
% 44.41/44.81 implies( implies( not( X ), Y ), Z ), implies( T, Z ) ), U ), implies( X
% 44.41/44.81 , U ) ) ) ) ] )
% 44.41/44.81 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.81 , 0, clause( 83973, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 44.41/44.81 implies( implies( implies( implies( not( X ), Y ), Z ), implies( T, Z ) )
% 44.41/44.81 , U ), implies( X, U ) ) ), true ) ) ] )
% 44.41/44.81 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies(
% 44.41/44.81 implies( implies( implies( implies( not( X ), Y ), Z ), implies( T, Z ) )
% 44.41/44.81 , U ), implies( X, U ) ) ) ), :=( Z, true )] ), substitution( 1, [ :=( X
% 44.41/44.81 , X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U, U )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 83976, [ =( 'is_a_theorem'( implies( implies( implies( implies(
% 44.41/44.81 implies( not( X ), Y ), Z ), implies( T, Z ) ), U ), implies( X, U ) ) )
% 44.41/44.81 , true ) ] )
% 44.41/44.81 , clause( 83975, [ =( true, 'is_a_theorem'( implies( implies( implies(
% 44.41/44.81 implies( implies( not( X ), Y ), Z ), implies( T, Z ) ), U ), implies( X
% 44.41/44.81 , U ) ) ) ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 44.41/44.81 :=( U, U )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 subsumption(
% 44.41/44.81 clause( 346, [ =( 'is_a_theorem'( implies( implies( implies( implies(
% 44.41/44.81 implies( not( X ), Y ), Z ), implies( T, Z ) ), U ), implies( X, U ) ) )
% 44.41/44.81 , true ) ] )
% 44.41/44.81 , clause( 83976, [ =( 'is_a_theorem'( implies( implies( implies( implies(
% 44.41/44.81 implies( not( X ), Y ), Z ), implies( T, Z ) ), U ), implies( X, U ) ) )
% 44.41/44.81 , true ) ] )
% 44.41/44.81 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 44.41/44.81 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 83978, [ =( true, ifeq( 'is_a_theorem'( implies( implies( implies(
% 44.41/44.81 not( X ), X ), X ), Y ) ), true, 'is_a_theorem'( Y ), true ) ) ] )
% 44.41/44.81 , clause( 10, [ =( ifeq( 'is_a_theorem'( implies( implies( implies( not( X
% 44.41/44.81 ), X ), X ), Y ) ), true, 'is_a_theorem'( Y ), true ), true ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 83980, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 44.41/44.81 implies( implies( Y, Y ), X ), X ) ), true ) ) ] )
% 44.41/44.81 , clause( 116, [ =( 'is_a_theorem'( implies( implies( implies( Z, Y ), T )
% 44.41/44.81 , implies( implies( implies( X, X ), Y ), T ) ) ), true ) ] )
% 44.41/44.81 , 0, clause( 83978, [ =( true, ifeq( 'is_a_theorem'( implies( implies(
% 44.41/44.81 implies( not( X ), X ), X ), Y ) ), true, 'is_a_theorem'( Y ), true ) ) ]
% 44.41/44.81 )
% 44.41/44.81 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, not( X ) ), :=( T
% 44.41/44.81 , X )] ), substitution( 1, [ :=( X, X ), :=( Y, implies( implies( implies(
% 44.41/44.81 Y, Y ), X ), X ) )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 83982, [ =( true, 'is_a_theorem'( implies( implies( implies( X, X )
% 44.41/44.81 , Y ), Y ) ) ) ] )
% 44.41/44.81 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.81 , 0, clause( 83980, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 44.41/44.81 implies( implies( Y, Y ), X ), X ) ), true ) ) ] )
% 44.41/44.81 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies(
% 44.41/44.81 implies( implies( X, X ), Y ), Y ) ) ), :=( Z, true )] ), substitution( 1
% 44.41/44.81 , [ :=( X, Y ), :=( Y, X )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 83983, [ =( 'is_a_theorem'( implies( implies( implies( X, X ), Y )
% 44.41/44.81 , Y ) ), true ) ] )
% 44.41/44.81 , clause( 83982, [ =( true, 'is_a_theorem'( implies( implies( implies( X, X
% 44.41/44.81 ), Y ), Y ) ) ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 subsumption(
% 44.41/44.81 clause( 404, [ =( 'is_a_theorem'( implies( implies( implies( Y, Y ), X ), X
% 44.41/44.81 ) ), true ) ] )
% 44.41/44.81 , clause( 83983, [ =( 'is_a_theorem'( implies( implies( implies( X, X ), Y
% 44.41/44.81 ), Y ) ), true ) ] )
% 44.41/44.81 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 44.41/44.81 )] ) ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 83985, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 44.41/44.81 ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ) ) ]
% 44.41/44.81 )
% 44.41/44.81 , clause( 1, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true, ifeq(
% 44.41/44.81 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ), true ) ]
% 44.41/44.81 )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 83987, [ =( true, ifeq( true, true, ifeq( 'is_a_theorem'( implies(
% 44.41/44.81 implies( X, Y ), Z ) ), true, 'is_a_theorem'( implies( implies( implies(
% 44.41/44.81 T, T ), Y ), Z ) ), true ), true ) ) ] )
% 44.41/44.81 , clause( 116, [ =( 'is_a_theorem'( implies( implies( implies( Z, Y ), T )
% 44.41/44.81 , implies( implies( implies( X, X ), Y ), T ) ) ), true ) ] )
% 44.41/44.81 , 0, clause( 83985, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ),
% 44.41/44.81 true, ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true
% 44.41/44.81 ) ) ] )
% 44.41/44.81 , 0, 3, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, X ), :=( T, Z )] )
% 44.41/44.81 , substitution( 1, [ :=( X, implies( implies( X, Y ), Z ) ), :=( Y,
% 44.41/44.81 implies( implies( implies( T, T ), Y ), Z ) )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 83992, [ =( true, ifeq( 'is_a_theorem'( implies( implies( X, Y ), Z
% 44.41/44.81 ) ), true, 'is_a_theorem'( implies( implies( implies( T, T ), Y ), Z ) )
% 44.41/44.81 , true ) ) ] )
% 44.41/44.81 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.81 , 0, clause( 83987, [ =( true, ifeq( true, true, ifeq( 'is_a_theorem'(
% 44.41/44.81 implies( implies( X, Y ), Z ) ), true, 'is_a_theorem'( implies( implies(
% 44.41/44.81 implies( T, T ), Y ), Z ) ), true ), true ) ) ] )
% 44.41/44.81 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, ifeq( 'is_a_theorem'(
% 44.41/44.81 implies( implies( X, Y ), Z ) ), true, 'is_a_theorem'( implies( implies(
% 44.41/44.81 implies( T, T ), Y ), Z ) ), true ) ), :=( Z, true )] ), substitution( 1
% 44.41/44.81 , [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 83993, [ =( ifeq( 'is_a_theorem'( implies( implies( X, Y ), Z ) ),
% 44.41/44.81 true, 'is_a_theorem'( implies( implies( implies( T, T ), Y ), Z ) ), true
% 44.41/44.81 ), true ) ] )
% 44.41/44.81 , clause( 83992, [ =( true, ifeq( 'is_a_theorem'( implies( implies( X, Y )
% 44.41/44.81 , Z ) ), true, 'is_a_theorem'( implies( implies( implies( T, T ), Y ), Z
% 44.41/44.81 ) ), true ) ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 44.41/44.81 ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 subsumption(
% 44.41/44.81 clause( 408, [ =( ifeq( 'is_a_theorem'( implies( implies( X, Y ), Z ) ),
% 44.41/44.81 true, 'is_a_theorem'( implies( implies( implies( T, T ), Y ), Z ) ), true
% 44.41/44.81 ), true ) ] )
% 44.41/44.81 , clause( 83993, [ =( ifeq( 'is_a_theorem'( implies( implies( X, Y ), Z ) )
% 44.41/44.81 , true, 'is_a_theorem'( implies( implies( implies( T, T ), Y ), Z ) ),
% 44.41/44.81 true ), true ) ] )
% 44.41/44.81 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 44.41/44.81 permutation( 0, [ ==>( 0, 0 )] ) ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 83995, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 44.41/44.81 ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ) ) ]
% 44.41/44.81 )
% 44.41/44.81 , clause( 1, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true, ifeq(
% 44.41/44.81 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ), true ) ]
% 44.41/44.81 )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 83998, [ =( true, ifeq( 'is_a_theorem'( implies( implies( implies(
% 44.41/44.81 implies( X, X ), Y ), Y ), Z ) ), true, ifeq( true, true, 'is_a_theorem'(
% 44.41/44.81 Z ), true ), true ) ) ] )
% 44.41/44.81 , clause( 404, [ =( 'is_a_theorem'( implies( implies( implies( Y, Y ), X )
% 44.41/44.81 , X ) ), true ) ] )
% 44.41/44.81 , 0, clause( 83995, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ),
% 44.41/44.81 true, ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true
% 44.41/44.81 ) ) ] )
% 44.41/44.81 , 0, 15, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 44.41/44.81 :=( X, implies( implies( implies( X, X ), Y ), Y ) ), :=( Y, Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 84000, [ =( true, ifeq( 'is_a_theorem'( implies( implies( implies(
% 44.41/44.81 implies( X, X ), Y ), Y ), Z ) ), true, 'is_a_theorem'( Z ), true ) ) ]
% 44.41/44.81 )
% 44.41/44.81 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.81 , 0, clause( 83998, [ =( true, ifeq( 'is_a_theorem'( implies( implies(
% 44.41/44.81 implies( implies( X, X ), Y ), Y ), Z ) ), true, ifeq( true, true,
% 44.41/44.81 'is_a_theorem'( Z ), true ), true ) ) ] )
% 44.41/44.81 , 0, 14, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( Z ) ),
% 44.41/44.81 :=( Z, true )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 44.41/44.81 ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 84001, [ =( ifeq( 'is_a_theorem'( implies( implies( implies(
% 44.41/44.81 implies( X, X ), Y ), Y ), Z ) ), true, 'is_a_theorem'( Z ), true ), true
% 44.41/44.81 ) ] )
% 44.41/44.81 , clause( 84000, [ =( true, ifeq( 'is_a_theorem'( implies( implies( implies(
% 44.41/44.81 implies( X, X ), Y ), Y ), Z ) ), true, 'is_a_theorem'( Z ), true ) ) ]
% 44.41/44.81 )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 subsumption(
% 44.41/44.81 clause( 415, [ =( ifeq( 'is_a_theorem'( implies( implies( implies( implies(
% 44.41/44.81 X, X ), Y ), Y ), Z ) ), true, 'is_a_theorem'( Z ), true ), true ) ] )
% 44.41/44.81 , clause( 84001, [ =( ifeq( 'is_a_theorem'( implies( implies( implies(
% 44.41/44.81 implies( X, X ), Y ), Y ), Z ) ), true, 'is_a_theorem'( Z ), true ), true
% 44.41/44.81 ) ] )
% 44.41/44.81 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 44.41/44.81 permutation( 0, [ ==>( 0, 0 )] ) ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 84003, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 44.41/44.81 ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ) ) ]
% 44.41/44.81 )
% 44.41/44.81 , clause( 1, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true, ifeq(
% 44.41/44.81 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ), true ) ]
% 44.41/44.81 )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 84005, [ =( true, ifeq( true, true, ifeq( 'is_a_theorem'( implies(
% 44.41/44.81 implies( X, implies( Y, Z ) ), T ) ), true, 'is_a_theorem'( implies(
% 44.41/44.81 implies( Y, not( X ) ), T ) ), true ), true ) ) ] )
% 44.41/44.81 , clause( 250, [ =( 'is_a_theorem'( implies( implies( implies( Y, implies(
% 44.41/44.81 X, Z ) ), T ), implies( implies( X, not( Y ) ), T ) ) ), true ) ] )
% 44.41/44.81 , 0, clause( 84003, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ),
% 44.41/44.81 true, ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true
% 44.41/44.81 ) ) ] )
% 44.41/44.81 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, T )] )
% 44.41/44.81 , substitution( 1, [ :=( X, implies( implies( X, implies( Y, Z ) ), T ) )
% 44.41/44.81 , :=( Y, implies( implies( Y, not( X ) ), T ) )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 84010, [ =( true, ifeq( 'is_a_theorem'( implies( implies( X,
% 44.41/44.81 implies( Y, Z ) ), T ) ), true, 'is_a_theorem'( implies( implies( Y, not(
% 44.41/44.81 X ) ), T ) ), true ) ) ] )
% 44.41/44.81 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.81 , 0, clause( 84005, [ =( true, ifeq( true, true, ifeq( 'is_a_theorem'(
% 44.41/44.81 implies( implies( X, implies( Y, Z ) ), T ) ), true, 'is_a_theorem'(
% 44.41/44.81 implies( implies( Y, not( X ) ), T ) ), true ), true ) ) ] )
% 44.41/44.81 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, ifeq( 'is_a_theorem'(
% 44.41/44.81 implies( implies( X, implies( Y, Z ) ), T ) ), true, 'is_a_theorem'(
% 44.41/44.81 implies( implies( Y, not( X ) ), T ) ), true ) ), :=( Z, true )] ),
% 44.41/44.81 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 84011, [ =( ifeq( 'is_a_theorem'( implies( implies( X, implies( Y,
% 44.41/44.81 Z ) ), T ) ), true, 'is_a_theorem'( implies( implies( Y, not( X ) ), T )
% 44.41/44.81 ), true ), true ) ] )
% 44.41/44.81 , clause( 84010, [ =( true, ifeq( 'is_a_theorem'( implies( implies( X,
% 44.41/44.81 implies( Y, Z ) ), T ) ), true, 'is_a_theorem'( implies( implies( Y, not(
% 44.41/44.81 X ) ), T ) ), true ) ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 44.41/44.81 ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 subsumption(
% 44.41/44.81 clause( 653, [ =( ifeq( 'is_a_theorem'( implies( implies( X, implies( Y, Z
% 44.41/44.81 ) ), T ) ), true, 'is_a_theorem'( implies( implies( Y, not( X ) ), T ) )
% 44.41/44.81 , true ), true ) ] )
% 44.41/44.81 , clause( 84011, [ =( ifeq( 'is_a_theorem'( implies( implies( X, implies( Y
% 44.41/44.81 , Z ) ), T ) ), true, 'is_a_theorem'( implies( implies( Y, not( X ) ), T
% 44.41/44.81 ) ), true ), true ) ] )
% 44.41/44.81 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 44.41/44.81 permutation( 0, [ ==>( 0, 0 )] ) ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 84013, [ =( true, ifeq( 'is_a_theorem'( implies( implies( implies(
% 44.41/44.81 implies( X, X ), Y ), Y ), Z ) ), true, 'is_a_theorem'( Z ), true ) ) ]
% 44.41/44.81 )
% 44.41/44.81 , clause( 415, [ =( ifeq( 'is_a_theorem'( implies( implies( implies(
% 44.41/44.81 implies( X, X ), Y ), Y ), Z ) ), true, 'is_a_theorem'( Z ), true ), true
% 44.41/44.81 ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 84015, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 44.41/44.81 implies( implies( implies( not( Z ), Z ), Z ), Y ), Y ) ), true ) ) ] )
% 44.41/44.81 , clause( 199, [ =( 'is_a_theorem'( implies( implies( implies( Z, Y ), T )
% 44.41/44.81 , implies( implies( implies( implies( not( X ), X ), X ), Y ), T ) ) ),
% 44.41/44.81 true ) ] )
% 44.41/44.81 , 0, clause( 84013, [ =( true, ifeq( 'is_a_theorem'( implies( implies(
% 44.41/44.81 implies( implies( X, X ), Y ), Y ), Z ) ), true, 'is_a_theorem'( Z ),
% 44.41/44.81 true ) ) ] )
% 44.41/44.81 , 0, 3, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, implies( X, X ) )
% 44.41/44.81 , :=( T, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z,
% 44.41/44.81 implies( implies( implies( implies( not( Z ), Z ), Z ), Y ), Y ) )] )
% 44.41/44.81 ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 84017, [ =( true, 'is_a_theorem'( implies( implies( implies(
% 44.41/44.81 implies( not( X ), X ), X ), Y ), Y ) ) ) ] )
% 44.41/44.81 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.81 , 0, clause( 84015, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 44.41/44.81 implies( implies( implies( not( Z ), Z ), Z ), Y ), Y ) ), true ) ) ] )
% 44.41/44.81 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies(
% 44.41/44.81 implies( implies( implies( not( X ), X ), X ), Y ), Y ) ) ), :=( Z, true
% 44.41/44.81 )] ), substitution( 1, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 84018, [ =( 'is_a_theorem'( implies( implies( implies( implies( not(
% 44.41/44.81 X ), X ), X ), Y ), Y ) ), true ) ] )
% 44.41/44.81 , clause( 84017, [ =( true, 'is_a_theorem'( implies( implies( implies(
% 44.41/44.81 implies( not( X ), X ), X ), Y ), Y ) ) ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 subsumption(
% 44.41/44.81 clause( 1575, [ =( 'is_a_theorem'( implies( implies( implies( implies( not(
% 44.41/44.81 Z ), Z ), Z ), Y ), Y ) ), true ) ] )
% 44.41/44.81 , clause( 84018, [ =( 'is_a_theorem'( implies( implies( implies( implies(
% 44.41/44.81 not( X ), X ), X ), Y ), Y ) ), true ) ] )
% 44.41/44.81 , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 44.41/44.81 )] ) ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 84020, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 44.41/44.81 ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ) ) ]
% 44.41/44.81 )
% 44.41/44.81 , clause( 1, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true, ifeq(
% 44.41/44.81 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ), true ) ]
% 44.41/44.81 )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 84023, [ =( true, ifeq( 'is_a_theorem'( implies( implies( implies(
% 44.41/44.81 implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ), true, ifeq( true,
% 44.41/44.81 true, 'is_a_theorem'( Z ), true ), true ) ) ] )
% 44.41/44.81 , clause( 1575, [ =( 'is_a_theorem'( implies( implies( implies( implies(
% 44.41/44.81 not( Z ), Z ), Z ), Y ), Y ) ), true ) ] )
% 44.41/44.81 , 0, clause( 84020, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ),
% 44.41/44.81 true, ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true
% 44.41/44.81 ) ) ] )
% 44.41/44.81 , 0, 18, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, X )] ),
% 44.41/44.81 substitution( 1, [ :=( X, implies( implies( implies( implies( not( X ), X
% 44.41/44.81 ), X ), Y ), Y ) ), :=( Y, Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 84025, [ =( true, ifeq( 'is_a_theorem'( implies( implies( implies(
% 44.41/44.81 implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ), true,
% 44.41/44.81 'is_a_theorem'( Z ), true ) ) ] )
% 44.41/44.81 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.81 , 0, clause( 84023, [ =( true, ifeq( 'is_a_theorem'( implies( implies(
% 44.41/44.81 implies( implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ), true,
% 44.41/44.81 ifeq( true, true, 'is_a_theorem'( Z ), true ), true ) ) ] )
% 44.41/44.81 , 0, 17, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( Z ) ),
% 44.41/44.81 :=( Z, true )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 44.41/44.81 ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 84026, [ =( ifeq( 'is_a_theorem'( implies( implies( implies(
% 44.41/44.81 implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ), true,
% 44.41/44.81 'is_a_theorem'( Z ), true ), true ) ] )
% 44.41/44.81 , clause( 84025, [ =( true, ifeq( 'is_a_theorem'( implies( implies( implies(
% 44.41/44.81 implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ), true,
% 44.41/44.81 'is_a_theorem'( Z ), true ) ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 subsumption(
% 44.41/44.81 clause( 1589, [ =( ifeq( 'is_a_theorem'( implies( implies( implies( implies(
% 44.41/44.81 implies( not( X ), X ), X ), Y ), Y ), Z ) ), true, 'is_a_theorem'( Z ),
% 44.41/44.81 true ), true ) ] )
% 44.41/44.81 , clause( 84026, [ =( ifeq( 'is_a_theorem'( implies( implies( implies(
% 44.41/44.81 implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ), true,
% 44.41/44.81 'is_a_theorem'( Z ), true ), true ) ] )
% 44.41/44.81 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 44.41/44.81 permutation( 0, [ ==>( 0, 0 )] ) ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 84028, [ =( true, ifeq( 'is_a_theorem'( implies( implies( implies(
% 44.41/44.81 implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ), true,
% 44.41/44.81 'is_a_theorem'( Z ), true ) ) ] )
% 44.41/44.81 , clause( 1589, [ =( ifeq( 'is_a_theorem'( implies( implies( implies(
% 44.41/44.81 implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ), true,
% 44.41/44.81 'is_a_theorem'( Z ), true ), true ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 84030, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( X,
% 44.41/44.81 implies( Y, X ) ) ), true ) ) ] )
% 44.41/44.81 , clause( 346, [ =( 'is_a_theorem'( implies( implies( implies( implies(
% 44.41/44.81 implies( not( X ), Y ), Z ), implies( T, Z ) ), U ), implies( X, U ) ) )
% 44.41/44.81 , true ) ] )
% 44.41/44.81 , 0, clause( 84028, [ =( true, ifeq( 'is_a_theorem'( implies( implies(
% 44.41/44.81 implies( implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ), true,
% 44.41/44.81 'is_a_theorem'( Z ), true ) ) ] )
% 44.41/44.81 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, X ), :=( T, Y ),
% 44.41/44.81 :=( U, implies( Y, X ) )] ), substitution( 1, [ :=( X, X ), :=( Y,
% 44.41/44.81 implies( Y, X ) ), :=( Z, implies( X, implies( Y, X ) ) )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 84032, [ =( true, 'is_a_theorem'( implies( X, implies( Y, X ) ) ) )
% 44.41/44.81 ] )
% 44.41/44.81 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.81 , 0, clause( 84030, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( X
% 44.41/44.81 , implies( Y, X ) ) ), true ) ) ] )
% 44.41/44.81 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies( X
% 44.41/44.81 , implies( Y, X ) ) ) ), :=( Z, true )] ), substitution( 1, [ :=( X, X )
% 44.41/44.81 , :=( Y, Y )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 84033, [ =( 'is_a_theorem'( implies( X, implies( Y, X ) ) ), true )
% 44.41/44.81 ] )
% 44.41/44.81 , clause( 84032, [ =( true, 'is_a_theorem'( implies( X, implies( Y, X ) ) )
% 44.41/44.81 ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 subsumption(
% 44.41/44.81 clause( 3432, [ =( 'is_a_theorem'( implies( X, implies( Y, X ) ) ), true )
% 44.41/44.81 ] )
% 44.41/44.81 , clause( 84033, [ =( 'is_a_theorem'( implies( X, implies( Y, X ) ) ), true
% 44.41/44.81 ) ] )
% 44.41/44.81 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 44.41/44.81 )] ) ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 84035, [ =( true, ifeq( 'is_a_theorem'( implies( implies( implies(
% 44.41/44.81 implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ), true,
% 44.41/44.81 'is_a_theorem'( Z ), true ) ) ] )
% 44.41/44.81 , clause( 1589, [ =( ifeq( 'is_a_theorem'( implies( implies( implies(
% 44.41/44.81 implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ), true,
% 44.41/44.81 'is_a_theorem'( Z ), true ), true ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 84037, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 44.41/44.81 implies( Y, implies( not( X ), X ) ), implies( Y, X ) ) ), true ) ) ] )
% 44.41/44.81 , clause( 23, [ =( 'is_a_theorem'( implies( implies( implies( implies( Y, Z
% 44.41/44.81 ), implies( X, Z ) ), T ), implies( implies( X, Y ), T ) ) ), true ) ]
% 44.41/44.81 )
% 44.41/44.81 , 0, clause( 84035, [ =( true, ifeq( 'is_a_theorem'( implies( implies(
% 44.41/44.81 implies( implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ), true,
% 44.41/44.81 'is_a_theorem'( Z ), true ) ) ] )
% 44.41/44.81 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, implies( not( X ), X ) ),
% 44.41/44.81 :=( Z, X ), :=( T, implies( Y, X ) )] ), substitution( 1, [ :=( X, X ),
% 44.41/44.81 :=( Y, implies( Y, X ) ), :=( Z, implies( implies( Y, implies( not( X ),
% 44.41/44.81 X ) ), implies( Y, X ) ) )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 84039, [ =( true, 'is_a_theorem'( implies( implies( X, implies( not(
% 44.41/44.81 Y ), Y ) ), implies( X, Y ) ) ) ) ] )
% 44.41/44.81 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.81 , 0, clause( 84037, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 44.41/44.81 implies( Y, implies( not( X ), X ) ), implies( Y, X ) ) ), true ) ) ] )
% 44.41/44.81 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies(
% 44.41/44.81 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ) ) ), :=( Z, true
% 44.41/44.81 )] ), substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 84040, [ =( 'is_a_theorem'( implies( implies( X, implies( not( Y )
% 44.41/44.81 , Y ) ), implies( X, Y ) ) ), true ) ] )
% 44.41/44.81 , clause( 84039, [ =( true, 'is_a_theorem'( implies( implies( X, implies(
% 44.41/44.81 not( Y ), Y ) ), implies( X, Y ) ) ) ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 subsumption(
% 44.41/44.81 clause( 3434, [ =( 'is_a_theorem'( implies( implies( Y, implies( not( X ),
% 44.41/44.81 X ) ), implies( Y, X ) ) ), true ) ] )
% 44.41/44.81 , clause( 84040, [ =( 'is_a_theorem'( implies( implies( X, implies( not( Y
% 44.41/44.81 ), Y ) ), implies( X, Y ) ) ), true ) ] )
% 44.41/44.81 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 44.41/44.81 )] ) ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 84042, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 44.41/44.81 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true ) ) ]
% 44.41/44.81 )
% 44.41/44.81 , clause( 6, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 44.41/44.81 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true ),
% 44.41/44.81 true ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 84044, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 44.41/44.81 implies( implies( Y, X ), Z ), implies( X, Z ) ) ), true ) ) ] )
% 44.41/44.81 , clause( 3432, [ =( 'is_a_theorem'( implies( X, implies( Y, X ) ) ), true
% 44.41/44.81 ) ] )
% 44.41/44.81 , 0, clause( 84042, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ),
% 44.41/44.81 true, 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true
% 44.41/44.81 ) ) ] )
% 44.41/44.81 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 44.41/44.81 :=( X, X ), :=( Y, implies( Y, X ) ), :=( Z, Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 84045, [ =( true, 'is_a_theorem'( implies( implies( implies( X, Y )
% 44.41/44.81 , Z ), implies( Y, Z ) ) ) ) ] )
% 44.41/44.81 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.81 , 0, clause( 84044, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 44.41/44.81 implies( implies( Y, X ), Z ), implies( X, Z ) ) ), true ) ) ] )
% 44.41/44.81 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies(
% 44.41/44.81 implies( implies( X, Y ), Z ), implies( Y, Z ) ) ) ), :=( Z, true )] ),
% 44.41/44.81 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 84046, [ =( 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 44.41/44.81 , implies( Y, Z ) ) ), true ) ] )
% 44.41/44.81 , clause( 84045, [ =( true, 'is_a_theorem'( implies( implies( implies( X, Y
% 44.41/44.81 ), Z ), implies( Y, Z ) ) ) ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 subsumption(
% 44.41/44.81 clause( 3487, [ =( 'is_a_theorem'( implies( implies( implies( Y, X ), Z ),
% 44.41/44.81 implies( X, Z ) ) ), true ) ] )
% 44.41/44.81 , clause( 84046, [ =( 'is_a_theorem'( implies( implies( implies( X, Y ), Z
% 44.41/44.81 ), implies( Y, Z ) ) ), true ) ] )
% 44.41/44.81 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 44.41/44.81 permutation( 0, [ ==>( 0, 0 )] ) ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 84048, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 44.41/44.81 ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ) ) ]
% 44.41/44.81 )
% 44.41/44.81 , clause( 1, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true, ifeq(
% 44.41/44.81 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ), true ) ]
% 44.41/44.81 )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 84050, [ =( true, ifeq( true, true, ifeq( 'is_a_theorem'( implies(
% 44.41/44.81 implies( X, Y ), Z ) ), true, 'is_a_theorem'( implies( Y, Z ) ), true ),
% 44.41/44.81 true ) ) ] )
% 44.41/44.81 , clause( 3487, [ =( 'is_a_theorem'( implies( implies( implies( Y, X ), Z )
% 44.41/44.81 , implies( X, Z ) ) ), true ) ] )
% 44.41/44.81 , 0, clause( 84048, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ),
% 44.41/44.81 true, ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true
% 44.41/44.81 ) ) ] )
% 44.41/44.81 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 44.41/44.81 substitution( 1, [ :=( X, implies( implies( X, Y ), Z ) ), :=( Y, implies(
% 44.41/44.81 Y, Z ) )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 84055, [ =( true, ifeq( 'is_a_theorem'( implies( implies( X, Y ), Z
% 44.41/44.81 ) ), true, 'is_a_theorem'( implies( Y, Z ) ), true ) ) ] )
% 44.41/44.81 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.81 , 0, clause( 84050, [ =( true, ifeq( true, true, ifeq( 'is_a_theorem'(
% 44.41/44.81 implies( implies( X, Y ), Z ) ), true, 'is_a_theorem'( implies( Y, Z ) )
% 44.41/44.81 , true ), true ) ) ] )
% 44.41/44.81 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, ifeq( 'is_a_theorem'(
% 44.41/44.81 implies( implies( X, Y ), Z ) ), true, 'is_a_theorem'( implies( Y, Z ) )
% 44.41/44.81 , true ) ), :=( Z, true )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 44.41/44.81 :=( Z, Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 84056, [ =( ifeq( 'is_a_theorem'( implies( implies( X, Y ), Z ) ),
% 44.41/44.81 true, 'is_a_theorem'( implies( Y, Z ) ), true ), true ) ] )
% 44.41/44.81 , clause( 84055, [ =( true, ifeq( 'is_a_theorem'( implies( implies( X, Y )
% 44.41/44.81 , Z ) ), true, 'is_a_theorem'( implies( Y, Z ) ), true ) ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 subsumption(
% 44.41/44.81 clause( 3628, [ =( ifeq( 'is_a_theorem'( implies( implies( X, Y ), Z ) ),
% 44.41/44.81 true, 'is_a_theorem'( implies( Y, Z ) ), true ), true ) ] )
% 44.41/44.81 , clause( 84056, [ =( ifeq( 'is_a_theorem'( implies( implies( X, Y ), Z ) )
% 44.41/44.81 , true, 'is_a_theorem'( implies( Y, Z ) ), true ), true ) ] )
% 44.41/44.81 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 44.41/44.81 permutation( 0, [ ==>( 0, 0 )] ) ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 84058, [ =( true, ifeq( 'is_a_theorem'( implies( implies( X,
% 44.41/44.81 implies( Y, Z ) ), T ) ), true, 'is_a_theorem'( implies( implies( Y, not(
% 44.41/44.81 X ) ), T ) ), true ) ) ] )
% 44.41/44.81 , clause( 653, [ =( ifeq( 'is_a_theorem'( implies( implies( X, implies( Y,
% 44.41/44.81 Z ) ), T ) ), true, 'is_a_theorem'( implies( implies( Y, not( X ) ), T )
% 44.41/44.81 ), true ), true ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 44.41/44.81 ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 84060, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 44.41/44.81 implies( not( Y ), not( X ) ), implies( X, Y ) ) ), true ) ) ] )
% 44.41/44.81 , clause( 3434, [ =( 'is_a_theorem'( implies( implies( Y, implies( not( X )
% 44.41/44.81 , X ) ), implies( Y, X ) ) ), true ) ] )
% 44.41/44.81 , 0, clause( 84058, [ =( true, ifeq( 'is_a_theorem'( implies( implies( X,
% 44.41/44.81 implies( Y, Z ) ), T ) ), true, 'is_a_theorem'( implies( implies( Y, not(
% 44.41/44.81 X ) ), T ) ), true ) ) ] )
% 44.41/44.81 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 44.41/44.81 :=( X, X ), :=( Y, not( Y ) ), :=( Z, Y ), :=( T, implies( X, Y ) )] )
% 44.41/44.81 ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 84061, [ =( true, 'is_a_theorem'( implies( implies( not( X ), not(
% 44.41/44.81 Y ) ), implies( Y, X ) ) ) ) ] )
% 44.41/44.81 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.81 , 0, clause( 84060, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 44.41/44.81 implies( not( Y ), not( X ) ), implies( X, Y ) ) ), true ) ) ] )
% 44.41/44.81 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies(
% 44.41/44.81 implies( not( X ), not( Y ) ), implies( Y, X ) ) ) ), :=( Z, true )] ),
% 44.41/44.81 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 84062, [ =( 'is_a_theorem'( implies( implies( not( X ), not( Y ) )
% 44.41/44.81 , implies( Y, X ) ) ), true ) ] )
% 44.41/44.81 , clause( 84061, [ =( true, 'is_a_theorem'( implies( implies( not( X ), not(
% 44.41/44.81 Y ) ), implies( Y, X ) ) ) ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 subsumption(
% 44.41/44.81 clause( 3817, [ =( 'is_a_theorem'( implies( implies( not( Y ), not( X ) ),
% 44.41/44.81 implies( X, Y ) ) ), true ) ] )
% 44.41/44.81 , clause( 84062, [ =( 'is_a_theorem'( implies( implies( not( X ), not( Y )
% 44.41/44.81 ), implies( Y, X ) ) ), true ) ] )
% 44.41/44.81 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 44.41/44.81 )] ) ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 84064, [ =( true, ifeq( 'is_a_theorem'( implies( implies( X, Y ), Z
% 44.41/44.81 ) ), true, 'is_a_theorem'( implies( implies( implies( T, T ), Y ), Z ) )
% 44.41/44.81 , true ) ) ] )
% 44.41/44.81 , clause( 408, [ =( ifeq( 'is_a_theorem'( implies( implies( X, Y ), Z ) ),
% 44.41/44.81 true, 'is_a_theorem'( implies( implies( implies( T, T ), Y ), Z ) ), true
% 44.41/44.81 ), true ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 44.41/44.81 ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 84066, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 44.41/44.81 implies( implies( Z, Z ), not( Y ) ), implies( Y, X ) ) ), true ) ) ] )
% 44.41/44.81 , clause( 3817, [ =( 'is_a_theorem'( implies( implies( not( Y ), not( X ) )
% 44.41/44.81 , implies( X, Y ) ) ), true ) ] )
% 44.41/44.81 , 0, clause( 84064, [ =( true, ifeq( 'is_a_theorem'( implies( implies( X, Y
% 44.41/44.81 ), Z ) ), true, 'is_a_theorem'( implies( implies( implies( T, T ), Y ),
% 44.41/44.81 Z ) ), true ) ) ] )
% 44.41/44.81 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 44.41/44.81 :=( X, not( X ) ), :=( Y, not( Y ) ), :=( Z, implies( Y, X ) ), :=( T, Z
% 44.41/44.81 )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 84067, [ =( true, 'is_a_theorem'( implies( implies( implies( X, X )
% 44.41/44.81 , not( Y ) ), implies( Y, Z ) ) ) ) ] )
% 44.41/44.81 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.81 , 0, clause( 84066, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 44.41/44.81 implies( implies( Z, Z ), not( Y ) ), implies( Y, X ) ) ), true ) ) ] )
% 44.41/44.81 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies(
% 44.41/44.81 implies( implies( X, X ), not( Y ) ), implies( Y, Z ) ) ) ), :=( Z, true
% 44.41/44.81 )] ), substitution( 1, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 84068, [ =( 'is_a_theorem'( implies( implies( implies( X, X ), not(
% 44.41/44.81 Y ) ), implies( Y, Z ) ) ), true ) ] )
% 44.41/44.81 , clause( 84067, [ =( true, 'is_a_theorem'( implies( implies( implies( X, X
% 44.41/44.81 ), not( Y ) ), implies( Y, Z ) ) ) ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 subsumption(
% 44.41/44.81 clause( 3852, [ =( 'is_a_theorem'( implies( implies( implies( Z, Z ), not(
% 44.41/44.81 Y ) ), implies( Y, X ) ) ), true ) ] )
% 44.41/44.81 , clause( 84068, [ =( 'is_a_theorem'( implies( implies( implies( X, X ),
% 44.41/44.81 not( Y ) ), implies( Y, Z ) ) ), true ) ] )
% 44.41/44.81 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 44.41/44.81 permutation( 0, [ ==>( 0, 0 )] ) ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 84070, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 44.41/44.81 ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ) ) ]
% 44.41/44.81 )
% 44.41/44.81 , clause( 1, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true, ifeq(
% 44.41/44.81 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true ), true ) ]
% 44.41/44.81 )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 84073, [ =( true, ifeq( 'is_a_theorem'( implies( implies( implies(
% 44.41/44.81 not( X ), not( Y ) ), implies( Y, X ) ), Z ) ), true, ifeq( true, true,
% 44.41/44.81 'is_a_theorem'( Z ), true ), true ) ) ] )
% 44.41/44.81 , clause( 3817, [ =( 'is_a_theorem'( implies( implies( not( Y ), not( X ) )
% 44.41/44.81 , implies( X, Y ) ) ), true ) ] )
% 44.41/44.81 , 0, clause( 84070, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ),
% 44.41/44.81 true, ifeq( 'is_a_theorem'( X ), true, 'is_a_theorem'( Y ), true ), true
% 44.41/44.81 ) ) ] )
% 44.41/44.81 , 0, 17, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 44.41/44.81 :=( X, implies( implies( not( X ), not( Y ) ), implies( Y, X ) ) ), :=( Y
% 44.41/44.81 , Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 84075, [ =( true, ifeq( 'is_a_theorem'( implies( implies( implies(
% 44.41/44.81 not( X ), not( Y ) ), implies( Y, X ) ), Z ) ), true, 'is_a_theorem'( Z )
% 44.41/44.81 , true ) ) ] )
% 44.41/44.81 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.81 , 0, clause( 84073, [ =( true, ifeq( 'is_a_theorem'( implies( implies(
% 44.41/44.81 implies( not( X ), not( Y ) ), implies( Y, X ) ), Z ) ), true, ifeq( true
% 44.41/44.81 , true, 'is_a_theorem'( Z ), true ), true ) ) ] )
% 44.41/44.81 , 0, 16, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( Z ) ),
% 44.41/44.81 :=( Z, true )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 44.41/44.81 ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 84076, [ =( ifeq( 'is_a_theorem'( implies( implies( implies( not( X
% 44.41/44.81 ), not( Y ) ), implies( Y, X ) ), Z ) ), true, 'is_a_theorem'( Z ), true
% 44.41/44.81 ), true ) ] )
% 44.41/44.81 , clause( 84075, [ =( true, ifeq( 'is_a_theorem'( implies( implies( implies(
% 44.41/44.81 not( X ), not( Y ) ), implies( Y, X ) ), Z ) ), true, 'is_a_theorem'( Z )
% 44.41/44.81 , true ) ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 subsumption(
% 44.41/44.81 clause( 3867, [ =( ifeq( 'is_a_theorem'( implies( implies( implies( not( X
% 44.41/44.81 ), not( Y ) ), implies( Y, X ) ), Z ) ), true, 'is_a_theorem'( Z ), true
% 44.41/44.81 ), true ) ] )
% 44.41/44.81 , clause( 84076, [ =( ifeq( 'is_a_theorem'( implies( implies( implies( not(
% 44.41/44.81 X ), not( Y ) ), implies( Y, X ) ), Z ) ), true, 'is_a_theorem'( Z ),
% 44.41/44.81 true ), true ) ] )
% 44.41/44.81 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 44.41/44.81 permutation( 0, [ ==>( 0, 0 )] ) ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 84078, [ =( true, ifeq( 'is_a_theorem'( implies( implies( X, Y ), Z
% 44.41/44.81 ) ), true, 'is_a_theorem'( implies( Y, Z ) ), true ) ) ] )
% 44.41/44.81 , clause( 3628, [ =( ifeq( 'is_a_theorem'( implies( implies( X, Y ), Z ) )
% 44.41/44.81 , true, 'is_a_theorem'( implies( Y, Z ) ), true ), true ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 84080, [ =( true, ifeq( true, true, 'is_a_theorem'( implies( not( Y
% 44.41/44.81 ), implies( Y, Z ) ) ), true ) ) ] )
% 44.41/44.81 , clause( 3852, [ =( 'is_a_theorem'( implies( implies( implies( Z, Z ), not(
% 44.41/44.81 Y ) ), implies( Y, X ) ) ), true ) ] )
% 44.41/44.81 , 0, clause( 84078, [ =( true, ifeq( 'is_a_theorem'( implies( implies( X, Y
% 44.41/44.81 ), Z ) ), true, 'is_a_theorem'( implies( Y, Z ) ), true ) ) ] )
% 44.41/44.81 , 0, 3, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 44.41/44.81 substitution( 1, [ :=( X, implies( X, X ) ), :=( Y, not( Y ) ), :=( Z,
% 44.41/44.81 implies( Y, Z ) )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 84082, [ =( true, 'is_a_theorem'( implies( not( X ), implies( X, Y
% 44.41/44.81 ) ) ) ) ] )
% 44.41/44.81 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.81 , 0, clause( 84080, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 44.41/44.81 not( Y ), implies( Y, Z ) ) ), true ) ) ] )
% 44.41/44.81 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies(
% 44.41/44.81 not( X ), implies( X, Y ) ) ) ), :=( Z, true )] ), substitution( 1, [
% 44.41/44.81 :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 84083, [ =( 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) )
% 44.41/44.81 , true ) ] )
% 44.41/44.81 , clause( 84082, [ =( true, 'is_a_theorem'( implies( not( X ), implies( X,
% 44.41/44.81 Y ) ) ) ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 subsumption(
% 44.41/44.81 clause( 4156, [ =( 'is_a_theorem'( implies( not( Y ), implies( Y, Z ) ) ),
% 44.41/44.81 true ) ] )
% 44.41/44.81 , clause( 84083, [ =( 'is_a_theorem'( implies( not( X ), implies( X, Y ) )
% 44.41/44.81 ), true ) ] )
% 44.41/44.81 , substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), permutation( 0, [ ==>( 0, 0
% 44.41/44.81 )] ) ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 84085, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 44.41/44.81 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true ) ) ]
% 44.41/44.81 )
% 44.41/44.81 , clause( 6, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 44.41/44.81 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true ),
% 44.41/44.81 true ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 84087, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 44.41/44.81 implies( implies( X, Y ), Z ), implies( not( X ), Z ) ) ), true ) ) ] )
% 44.41/44.81 , clause( 4156, [ =( 'is_a_theorem'( implies( not( Y ), implies( Y, Z ) ) )
% 44.41/44.81 , true ) ] )
% 44.41/44.81 , 0, clause( 84085, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ),
% 44.41/44.81 true, 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true
% 44.41/44.81 ) ) ] )
% 44.41/44.81 , 0, 3, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y )] ),
% 44.41/44.81 substitution( 1, [ :=( X, not( X ) ), :=( Y, implies( X, Y ) ), :=( Z, Z
% 44.41/44.81 )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 84088, [ =( true, 'is_a_theorem'( implies( implies( implies( X, Y )
% 44.41/44.81 , Z ), implies( not( X ), Z ) ) ) ) ] )
% 44.41/44.81 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.81 , 0, clause( 84087, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 44.41/44.81 implies( implies( X, Y ), Z ), implies( not( X ), Z ) ) ), true ) ) ] )
% 44.41/44.81 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies(
% 44.41/44.81 implies( implies( X, Y ), Z ), implies( not( X ), Z ) ) ) ), :=( Z, true
% 44.41/44.81 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 84089, [ =( 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 44.41/44.81 , implies( not( X ), Z ) ) ), true ) ] )
% 44.41/44.81 , clause( 84088, [ =( true, 'is_a_theorem'( implies( implies( implies( X, Y
% 44.41/44.81 ), Z ), implies( not( X ), Z ) ) ) ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 subsumption(
% 44.41/44.81 clause( 4370, [ =( 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 44.41/44.81 implies( not( X ), Z ) ) ), true ) ] )
% 44.41/44.81 , clause( 84089, [ =( 'is_a_theorem'( implies( implies( implies( X, Y ), Z
% 44.41/44.81 ), implies( not( X ), Z ) ) ), true ) ] )
% 44.41/44.81 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 44.41/44.81 permutation( 0, [ ==>( 0, 0 )] ) ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 84091, [ =( true, ifeq( 'is_a_theorem'( implies( implies( implies(
% 44.41/44.81 not( X ), X ), Y ), Z ) ), true, 'is_a_theorem'( implies( implies( X, Y )
% 44.41/44.81 , Z ) ), true ) ) ] )
% 44.41/44.81 , clause( 314, [ =( ifeq( 'is_a_theorem'( implies( implies( implies( not( X
% 44.41/44.81 ), X ), Y ), Z ) ), true, 'is_a_theorem'( implies( implies( X, Y ), Z )
% 44.41/44.81 ), true ), true ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 84093, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 44.41/44.81 implies( X, Y ), implies( not( not( X ) ), Y ) ) ), true ) ) ] )
% 44.41/44.81 , clause( 4370, [ =( 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 44.41/44.81 , implies( not( X ), Z ) ) ), true ) ] )
% 44.41/44.81 , 0, clause( 84091, [ =( true, ifeq( 'is_a_theorem'( implies( implies(
% 44.41/44.81 implies( not( X ), X ), Y ), Z ) ), true, 'is_a_theorem'( implies(
% 44.41/44.81 implies( X, Y ), Z ) ), true ) ) ] )
% 44.41/44.81 , 0, 3, substitution( 0, [ :=( X, not( X ) ), :=( Y, X ), :=( Z, Y )] ),
% 44.41/44.81 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( not( not( X )
% 44.41/44.81 ), Y ) )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 84095, [ =( true, 'is_a_theorem'( implies( implies( X, Y ), implies(
% 44.41/44.81 not( not( X ) ), Y ) ) ) ) ] )
% 44.41/44.81 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.81 , 0, clause( 84093, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 44.41/44.81 implies( X, Y ), implies( not( not( X ) ), Y ) ) ), true ) ) ] )
% 44.41/44.81 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies(
% 44.41/44.81 implies( X, Y ), implies( not( not( X ) ), Y ) ) ) ), :=( Z, true )] ),
% 44.41/44.81 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 84096, [ =( 'is_a_theorem'( implies( implies( X, Y ), implies( not(
% 44.41/44.81 not( X ) ), Y ) ) ), true ) ] )
% 44.41/44.81 , clause( 84095, [ =( true, 'is_a_theorem'( implies( implies( X, Y ),
% 44.41/44.81 implies( not( not( X ) ), Y ) ) ) ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 subsumption(
% 44.41/44.81 clause( 4568, [ =( 'is_a_theorem'( implies( implies( X, Y ), implies( not(
% 44.41/44.81 not( X ) ), Y ) ) ), true ) ] )
% 44.41/44.81 , clause( 84096, [ =( 'is_a_theorem'( implies( implies( X, Y ), implies(
% 44.41/44.81 not( not( X ) ), Y ) ) ), true ) ] )
% 44.41/44.81 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 44.41/44.81 )] ) ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 84098, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 44.41/44.81 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true ) ) ]
% 44.41/44.81 )
% 44.41/44.81 , clause( 6, [ =( ifeq( 'is_a_theorem'( implies( X, Y ) ), true,
% 44.41/44.81 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true ),
% 44.41/44.81 true ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 84100, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 44.41/44.81 implies( implies( not( not( X ) ), Y ), Z ), implies( implies( X, Y ), Z
% 44.41/44.81 ) ) ), true ) ) ] )
% 44.41/44.81 , clause( 4568, [ =( 'is_a_theorem'( implies( implies( X, Y ), implies( not(
% 44.41/44.81 not( X ) ), Y ) ) ), true ) ] )
% 44.41/44.81 , 0, clause( 84098, [ =( true, ifeq( 'is_a_theorem'( implies( X, Y ) ),
% 44.41/44.81 true, 'is_a_theorem'( implies( implies( Y, Z ), implies( X, Z ) ) ), true
% 44.41/44.81 ) ) ] )
% 44.41/44.81 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 44.41/44.81 :=( X, implies( X, Y ) ), :=( Y, implies( not( not( X ) ), Y ) ), :=( Z,
% 44.41/44.81 Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 84102, [ =( true, 'is_a_theorem'( implies( implies( implies( not(
% 44.41/44.81 not( X ) ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ) ] )
% 44.41/44.81 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.81 , 0, clause( 84100, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 44.41/44.81 implies( implies( not( not( X ) ), Y ), Z ), implies( implies( X, Y ), Z
% 44.41/44.81 ) ) ), true ) ) ] )
% 44.41/44.81 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies(
% 44.41/44.81 implies( implies( not( not( X ) ), Y ), Z ), implies( implies( X, Y ), Z
% 44.41/44.81 ) ) ) ), :=( Z, true )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 44.41/44.81 :=( Z, Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 84103, [ =( 'is_a_theorem'( implies( implies( implies( not( not( X
% 44.41/44.81 ) ), Y ), Z ), implies( implies( X, Y ), Z ) ) ), true ) ] )
% 44.41/44.81 , clause( 84102, [ =( true, 'is_a_theorem'( implies( implies( implies( not(
% 44.41/44.81 not( X ) ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 subsumption(
% 44.41/44.81 clause( 5117, [ =( 'is_a_theorem'( implies( implies( implies( not( not( X )
% 44.41/44.81 ), Y ), Z ), implies( implies( X, Y ), Z ) ) ), true ) ] )
% 44.41/44.81 , clause( 84103, [ =( 'is_a_theorem'( implies( implies( implies( not( not(
% 44.41/44.81 X ) ), Y ), Z ), implies( implies( X, Y ), Z ) ) ), true ) ] )
% 44.41/44.81 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 44.41/44.81 permutation( 0, [ ==>( 0, 0 )] ) ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 84105, [ =( true, ifeq( 'is_a_theorem'( implies( implies( implies(
% 44.41/44.81 not( X ), not( Y ) ), implies( Y, X ) ), Z ) ), true, 'is_a_theorem'( Z )
% 44.41/44.81 , true ) ) ] )
% 44.41/44.81 , clause( 3867, [ =( ifeq( 'is_a_theorem'( implies( implies( implies( not(
% 44.41/44.81 X ), not( Y ) ), implies( Y, X ) ), Z ) ), true, 'is_a_theorem'( Z ),
% 44.41/44.81 true ), true ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 84107, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 44.41/44.81 implies( X, not( Y ) ), implies( Y, not( X ) ) ) ), true ) ) ] )
% 44.41/44.81 , clause( 5117, [ =( 'is_a_theorem'( implies( implies( implies( not( not( X
% 44.41/44.81 ) ), Y ), Z ), implies( implies( X, Y ), Z ) ) ), true ) ] )
% 44.41/44.81 , 0, clause( 84105, [ =( true, ifeq( 'is_a_theorem'( implies( implies(
% 44.41/44.81 implies( not( X ), not( Y ) ), implies( Y, X ) ), Z ) ), true,
% 44.41/44.81 'is_a_theorem'( Z ), true ) ) ] )
% 44.41/44.81 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, not( Y ) ), :=( Z, implies( Y
% 44.41/44.81 , not( X ) ) )] ), substitution( 1, [ :=( X, not( X ) ), :=( Y, Y ), :=(
% 44.41/44.81 Z, implies( implies( X, not( Y ) ), implies( Y, not( X ) ) ) )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 paramod(
% 44.41/44.81 clause( 84109, [ =( true, 'is_a_theorem'( implies( implies( X, not( Y ) ),
% 44.41/44.81 implies( Y, not( X ) ) ) ) ) ] )
% 44.41/44.81 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 44.41/44.81 , 0, clause( 84107, [ =( true, ifeq( true, true, 'is_a_theorem'( implies(
% 44.41/44.81 implies( X, not( Y ) ), implies( Y, not( X ) ) ) ), true ) ) ] )
% 44.41/44.81 , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'is_a_theorem'( implies(
% 44.41/44.81 implies( X, not( Y ) ), implies( Y, not( X ) ) ) ) ), :=( Z, true )] ),
% 44.41/44.81 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 84110, [ =( 'is_a_theorem'( implies( implies( X, not( Y ) ),
% 44.41/44.81 implies( Y, not( X ) ) ) ), true ) ] )
% 44.41/44.81 , clause( 84109, [ =( true, 'is_a_theorem'( implies( implies( X, not( Y ) )
% 44.41/44.81 , implies( Y, not( X ) ) ) ) ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 subsumption(
% 44.41/44.81 clause( 83701, [ =( 'is_a_theorem'( implies( implies( X, not( Y ) ),
% 44.41/44.81 implies( Y, not( X ) ) ) ), true ) ] )
% 44.41/44.81 , clause( 84110, [ =( 'is_a_theorem'( implies( implies( X, not( Y ) ),
% 44.41/44.81 implies( Y, not( X ) ) ) ), true ) ] )
% 44.41/44.81 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 44.41/44.81 )] ) ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 84111, [ =( true, 'is_a_theorem'( implies( implies( X, not( Y ) ),
% 44.41/44.81 implies( Y, not( X ) ) ) ) ) ] )
% 44.41/44.81 , clause( 83701, [ =( 'is_a_theorem'( implies( implies( X, not( Y ) ),
% 44.41/44.81 implies( Y, not( X ) ) ) ), true ) ] )
% 44.41/44.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 eqswap(
% 44.41/44.81 clause( 84112, [ ~( =( true, 'is_a_theorem'( implies( implies( x, not( y )
% 44.41/44.81 ), implies( y, not( x ) ) ) ) ) ) ] )
% 44.41/44.81 , clause( 5, [ ~( =( 'is_a_theorem'( implies( implies( x, not( y ) ),
% 44.41/44.81 implies( y, not( x ) ) ) ), true ) ) ] )
% 44.41/44.81 , 0, substitution( 0, [] )).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 resolution(
% 44.41/44.81 clause( 84113, [] )
% 44.41/44.81 , clause( 84112, [ ~( =( true, 'is_a_theorem'( implies( implies( x, not( y
% 44.41/44.81 ) ), implies( y, not( x ) ) ) ) ) ) ] )
% 44.41/44.81 , 0, clause( 84111, [ =( true, 'is_a_theorem'( implies( implies( X, not( Y
% 44.41/44.81 ) ), implies( Y, not( X ) ) ) ) ) ] )
% 44.41/44.81 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, x ), :=( Y, y )] )
% 44.41/44.81 ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 subsumption(
% 44.41/44.81 clause( 83730, [] )
% 44.41/44.81 , clause( 84113, [] )
% 44.41/44.81 , substitution( 0, [] ), permutation( 0, [] ) ).
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 end.
% 44.41/44.81
% 44.41/44.81 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 44.41/44.81
% 44.41/44.81 Memory use:
% 44.41/44.81
% 44.41/44.81 space for terms: 1568908
% 44.41/44.81 space for clauses: 9295549
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 clauses generated: 18736445
% 44.41/44.81 clauses kept: 83731
% 44.41/44.81 clauses selected: 7202
% 44.41/44.81 clauses deleted: 1193
% 44.41/44.81 clauses inuse deleted: 207
% 44.41/44.81
% 44.41/44.81 subsentry: 1978
% 44.41/44.81 literals s-matched: 1451
% 44.41/44.81 literals matched: 1451
% 44.41/44.81 full subsumption: 0
% 44.41/44.81
% 44.41/44.81 checksum: 1076247701
% 44.41/44.81
% 44.41/44.81
% 44.41/44.81 Bliksem ended
%------------------------------------------------------------------------------