TSTP Solution File: LCL068-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL068-1 : TPTP v8.1.0. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n012.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 07:49:52 EDT 2022
% Result : Unsatisfiable 1.53s 1.95s
% Output : Refutation 1.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL068-1 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.00/0.13 % Command : bliksem %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Mon Jul 4 17:17:01 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.53/1.95 *** allocated 10000 integers for termspace/termends
% 1.53/1.95 *** allocated 10000 integers for clauses
% 1.53/1.95 *** allocated 10000 integers for justifications
% 1.53/1.95 Bliksem 1.12
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 Automatic Strategy Selection
% 1.53/1.95
% 1.53/1.95 Clauses:
% 1.53/1.95 [
% 1.53/1.95 [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'( X ) ),
% 1.53/1.95 'is_a_theorem'( Y ) ],
% 1.53/1.95 [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ), implies( Y, Z
% 1.53/1.95 ) ) ) ],
% 1.53/1.95 [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ), implies( not(
% 1.53/1.95 X ), Z ) ) ) ],
% 1.53/1.95 [ 'is_a_theorem'( implies( implies( not( X ), Y ), implies( implies( Z,
% 1.53/1.95 Y ), implies( implies( X, Z ), Y ) ) ) ) ],
% 1.53/1.95 [ ~( 'is_a_theorem'( implies( implies( not( a ), a ), a ) ) ) ]
% 1.53/1.95 ] .
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 percentage equality = 0.000000, percentage horn = 1.000000
% 1.53/1.95 This is a near-Horn, non-equality problem
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 Options Used:
% 1.53/1.95
% 1.53/1.95 useres = 1
% 1.53/1.95 useparamod = 0
% 1.53/1.95 useeqrefl = 0
% 1.53/1.95 useeqfact = 0
% 1.53/1.95 usefactor = 1
% 1.53/1.95 usesimpsplitting = 0
% 1.53/1.95 usesimpdemod = 0
% 1.53/1.95 usesimpres = 4
% 1.53/1.95
% 1.53/1.95 resimpinuse = 1000
% 1.53/1.95 resimpclauses = 20000
% 1.53/1.95 substype = standard
% 1.53/1.95 backwardsubs = 1
% 1.53/1.95 selectoldest = 5
% 1.53/1.95
% 1.53/1.95 litorderings [0] = split
% 1.53/1.95 litorderings [1] = liftord
% 1.53/1.95
% 1.53/1.95 termordering = none
% 1.53/1.95
% 1.53/1.95 litapriori = 1
% 1.53/1.95 termapriori = 0
% 1.53/1.95 litaposteriori = 0
% 1.53/1.95 termaposteriori = 0
% 1.53/1.95 demodaposteriori = 0
% 1.53/1.95 ordereqreflfact = 0
% 1.53/1.95
% 1.53/1.95 litselect = negative
% 1.53/1.95
% 1.53/1.95 maxweight = 30000
% 1.53/1.95 maxdepth = 30000
% 1.53/1.95 maxlength = 115
% 1.53/1.95 maxnrvars = 195
% 1.53/1.95 excuselevel = 0
% 1.53/1.95 increasemaxweight = 0
% 1.53/1.95
% 1.53/1.95 maxselected = 10000000
% 1.53/1.95 maxnrclauses = 10000000
% 1.53/1.95
% 1.53/1.95 showgenerated = 0
% 1.53/1.95 showkept = 0
% 1.53/1.95 showselected = 0
% 1.53/1.95 showdeleted = 0
% 1.53/1.95 showresimp = 1
% 1.53/1.95 showstatus = 2000
% 1.53/1.95
% 1.53/1.95 prologoutput = 1
% 1.53/1.95 nrgoals = 5000000
% 1.53/1.95 totalproof = 1
% 1.53/1.95
% 1.53/1.95 Symbols occurring in the translation:
% 1.53/1.95
% 1.53/1.95 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.53/1.95 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 1.53/1.95 ! [4, 1] (w:1, o:13, a:1, s:1, b:0),
% 1.53/1.95 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.53/1.95 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.53/1.95 implies [41, 2] (w:1, o:45, a:1, s:1, b:0),
% 1.53/1.95 'is_a_theorem' [42, 1] (w:1, o:18, a:1, s:1, b:0),
% 1.53/1.95 not [44, 1] (w:1, o:19, a:1, s:1, b:0),
% 1.53/1.95 a [45, 0] (w:1, o:12, a:1, s:1, b:0).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 Starting Search:
% 1.53/1.95
% 1.53/1.95 Resimplifying inuse:
% 1.53/1.95 Done
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 Intermediate Status:
% 1.53/1.95 Generated: 10126
% 1.53/1.95 Kept: 2005
% 1.53/1.95 Inuse: 407
% 1.53/1.95 Deleted: 2
% 1.53/1.95 Deletedinuse: 0
% 1.53/1.95
% 1.53/1.95 Resimplifying inuse:
% 1.53/1.95 Done
% 1.53/1.95
% 1.53/1.95 Resimplifying inuse:
% 1.53/1.95 Done
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 Intermediate Status:
% 1.53/1.95 Generated: 19907
% 1.53/1.95 Kept: 4055
% 1.53/1.95 Inuse: 647
% 1.53/1.95 Deleted: 5
% 1.53/1.95 Deletedinuse: 2
% 1.53/1.95
% 1.53/1.95 Resimplifying inuse:
% 1.53/1.95 Done
% 1.53/1.95
% 1.53/1.95 Resimplifying inuse:
% 1.53/1.95 Done
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 Intermediate Status:
% 1.53/1.95 Generated: 28103
% 1.53/1.95 Kept: 6073
% 1.53/1.95 Inuse: 853
% 1.53/1.95 Deleted: 7
% 1.53/1.95 Deletedinuse: 4
% 1.53/1.95
% 1.53/1.95 Resimplifying inuse:
% 1.53/1.95 Done
% 1.53/1.95
% 1.53/1.95 Resimplifying inuse:
% 1.53/1.95 Done
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 Intermediate Status:
% 1.53/1.95 Generated: 35435
% 1.53/1.95 Kept: 8086
% 1.53/1.95 Inuse: 994
% 1.53/1.95 Deleted: 10
% 1.53/1.95 Deletedinuse: 6
% 1.53/1.95
% 1.53/1.95 Resimplifying inuse:
% 1.53/1.95 Done
% 1.53/1.95
% 1.53/1.95 Resimplifying inuse:
% 1.53/1.95 Done
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 Intermediate Status:
% 1.53/1.95 Generated: 45329
% 1.53/1.95 Kept: 10123
% 1.53/1.95 Inuse: 1220
% 1.53/1.95 Deleted: 12
% 1.53/1.95 Deletedinuse: 7
% 1.53/1.95
% 1.53/1.95 Resimplifying inuse:
% 1.53/1.95 Done
% 1.53/1.95
% 1.53/1.95 Resimplifying inuse:
% 1.53/1.95 Done
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 Intermediate Status:
% 1.53/1.95 Generated: 55102
% 1.53/1.95 Kept: 12188
% 1.53/1.95 Inuse: 1345
% 1.53/1.95 Deleted: 18
% 1.53/1.95 Deletedinuse: 9
% 1.53/1.95
% 1.53/1.95 Resimplifying inuse:
% 1.53/1.95 Done
% 1.53/1.95
% 1.53/1.95 Resimplifying inuse:
% 1.53/1.95 Done
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 Intermediate Status:
% 1.53/1.95 Generated: 65639
% 1.53/1.95 Kept: 14208
% 1.53/1.95 Inuse: 1445
% 1.53/1.95 Deleted: 20
% 1.53/1.95 Deletedinuse: 10
% 1.53/1.95
% 1.53/1.95 Resimplifying inuse:
% 1.53/1.95 Done
% 1.53/1.95
% 1.53/1.95 Resimplifying inuse:
% 1.53/1.95 Done
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 Intermediate Status:
% 1.53/1.95 Generated: 70764
% 1.53/1.95 Kept: 16270
% 1.53/1.95 Inuse: 1495
% 1.53/1.95 Deleted: 21
% 1.53/1.95 Deletedinuse: 11
% 1.53/1.95
% 1.53/1.95 Resimplifying inuse:
% 1.53/1.95 Done
% 1.53/1.95
% 1.53/1.95 Resimplifying inuse:
% 1.53/1.95 Done
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 Intermediate Status:
% 1.53/1.95 Generated: 78007
% 1.53/1.95 Kept: 18280
% 1.53/1.95 Inuse: 1580
% 1.53/1.95 Deleted: 23
% 1.53/1.95 Deletedinuse: 12
% 1.53/1.95
% 1.53/1.95 Resimplifying inuse:
% 1.53/1.95 Done
% 1.53/1.95
% 1.53/1.95 Resimplifying inuse:
% 1.53/1.95 Done
% 1.53/1.95
% 1.53/1.95 Resimplifying clauses:
% 1.53/1.95 Done
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 Intermediate Status:
% 1.53/1.95 Generated: 84384
% 1.53/1.95 Kept: 20352
% 1.53/1.95 Inuse: 1651
% 1.53/1.95 Deleted: 231
% 1.53/1.95 Deletedinuse: 12
% 1.53/1.95
% 1.53/1.95 Resimplifying inuse:
% 1.53/1.95 Done
% 1.53/1.95
% 1.53/1.95 Resimplifying inuse:
% 1.53/1.95 Done
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 Intermediate Status:
% 1.53/1.95 Generated: 90664
% 1.53/1.95 Kept: 22486
% 1.53/1.95 Inuse: 1710
% 1.53/1.95 Deleted: 231
% 1.53/1.95 Deletedinuse: 12
% 1.53/1.95
% 1.53/1.95 Resimplifying inuse:
% 1.53/1.95 Done
% 1.53/1.95
% 1.53/1.95 Resimplifying inuse:
% 1.53/1.95 Done
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 Intermediate Status:
% 1.53/1.95 Generated: 99432
% 1.53/1.95 Kept: 24486
% 1.53/1.95 Inuse: 1809
% 1.53/1.95 Deleted: 247
% 1.53/1.95 Deletedinuse: 27
% 1.53/1.95
% 1.53/1.95 Resimplifying inuse:
% 1.53/1.95 Done
% 1.53/1.95
% 1.53/1.95 Resimplifying inuse:
% 1.53/1.95 Done
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 Intermediate Status:
% 1.53/1.95 Generated: 104990
% 1.53/1.95 Kept: 26618
% 1.53/1.95 Inuse: 1874
% 1.53/1.95 Deleted: 247
% 1.53/1.95 Deletedinuse: 27
% 1.53/1.95
% 1.53/1.95 Resimplifying inuse:
% 1.53/1.95 Done
% 1.53/1.95
% 1.53/1.95 Resimplifying inuse:
% 1.53/1.95 Done
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 Intermediate Status:
% 1.53/1.95 Generated: 112768
% 1.53/1.95 Kept: 28651
% 1.53/1.95 Inuse: 1934
% 1.53/1.95 Deleted: 247
% 1.53/1.95 Deletedinuse: 27
% 1.53/1.95
% 1.53/1.95 Resimplifying inuse:
% 1.53/1.95 Done
% 1.53/1.95
% 1.53/1.95 Resimplifying inuse:
% 1.53/1.95 Done
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 Intermediate Status:
% 1.53/1.95 Generated: 118727
% 1.53/1.95 Kept: 30668
% 1.53/1.95 Inuse: 2014
% 1.53/1.95 Deleted: 251
% 1.53/1.95 Deletedinuse: 31
% 1.53/1.95
% 1.53/1.95 Resimplifying inuse:
% 1.53/1.95 Done
% 1.53/1.95
% 1.53/1.95 Resimplifying inuse:
% 1.53/1.95 Done
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 Intermediate Status:
% 1.53/1.95 Generated: 125557
% 1.53/1.95 Kept: 32734
% 1.53/1.95 Inuse: 2070
% 1.53/1.95 Deleted: 251
% 1.53/1.95 Deletedinuse: 31
% 1.53/1.95
% 1.53/1.95 Resimplifying inuse:
% 1.53/1.95 Done
% 1.53/1.95
% 1.53/1.95 Resimplifying inuse:
% 1.53/1.95 Done
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 Intermediate Status:
% 1.53/1.95 Generated: 137088
% 1.53/1.95 Kept: 34784
% 1.53/1.95 Inuse: 2159
% 1.53/1.95 Deleted: 251
% 1.53/1.95 Deletedinuse: 31
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 Bliksems!, er is een bewijs:
% 1.53/1.95 % SZS status Unsatisfiable
% 1.53/1.95 % SZS output start Refutation
% 1.53/1.95
% 1.53/1.95 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 1.53/1.95 ~( 'is_a_theorem'( X ) ) ] )
% 1.53/1.95 .
% 1.53/1.95 clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.53/1.95 implies( Y, Z ) ) ) ] )
% 1.53/1.95 .
% 1.53/1.95 clause( 2, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.53/1.95 implies( not( X ), Z ) ) ) ] )
% 1.53/1.95 .
% 1.53/1.95 clause( 3, [ 'is_a_theorem'( implies( implies( not( X ), Y ), implies(
% 1.53/1.95 implies( Z, Y ), implies( implies( X, Z ), Y ) ) ) ) ] )
% 1.53/1.95 .
% 1.53/1.95 clause( 4, [ ~( 'is_a_theorem'( implies( implies( not( a ), a ), a ) ) ) ]
% 1.53/1.95 )
% 1.53/1.95 .
% 1.53/1.95 clause( 5, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.53/1.95 implies( implies( X, Y ), Z ), implies( Y, Z ) ), T ) ) ) ] )
% 1.53/1.95 .
% 1.53/1.95 clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.53/1.95 implies( not( X ), Y ), implies( implies( Z, Y ), implies( implies( X, Z
% 1.53/1.95 ), Y ) ) ), T ) ) ) ] )
% 1.53/1.95 .
% 1.53/1.95 clause( 8, [ 'is_a_theorem'( implies( not( implies( X, Y ) ), implies( Y, Z
% 1.53/1.95 ) ) ) ] )
% 1.53/1.95 .
% 1.53/1.95 clause( 9, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 1.53/1.95 .
% 1.53/1.95 clause( 11, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 1.53/1.95 implies( Y, X ) ), Z ) ) ) ] )
% 1.53/1.95 .
% 1.53/1.95 clause( 12, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( not(
% 1.53/1.95 implies( X, Y ) ), implies( Y, Z ) ), T ) ) ) ] )
% 1.53/1.95 .
% 1.53/1.95 clause( 15, [ 'is_a_theorem'( implies( not( X ), implies( Y, implies( X, Z
% 1.53/1.95 ) ) ) ) ] )
% 1.53/1.95 .
% 1.53/1.95 clause( 16, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, X ) ) ) )
% 1.53/1.95 ] )
% 1.53/1.95 .
% 1.53/1.95 clause( 23, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X,
% 1.53/1.95 implies( Y, implies( Z, X ) ) ), T ) ) ) ] )
% 1.53/1.95 .
% 1.53/1.95 clause( 24, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( not(
% 1.53/1.95 X ), implies( Y, implies( X, Z ) ) ), T ) ) ) ] )
% 1.53/1.95 .
% 1.53/1.95 clause( 29, [ 'is_a_theorem'( implies( not( not( X ) ), implies( implies( Y
% 1.53/1.95 , Z ), implies( implies( X, Y ), Z ) ) ) ) ] )
% 1.53/1.95 .
% 1.53/1.95 clause( 34, [ 'is_a_theorem'( implies( implies( X, implies( Y, implies( Z,
% 1.53/1.95 not( T ) ) ) ), implies( implies( T, X ), implies( Y, implies( Z, not( T
% 1.53/1.95 ) ) ) ) ) ) ] )
% 1.53/1.95 .
% 1.53/1.95 clause( 40, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.53/1.95 implies( implies( implies( T, Y ), X ), implies( Y, Z ) ) ) ) ] )
% 1.53/1.95 .
% 1.53/1.95 clause( 79, [ 'is_a_theorem'( implies( implies( X, implies( Y, implies( Z,
% 1.53/1.95 T ) ) ), implies( implies( Z, X ), implies( Y, implies( Z, T ) ) ) ) ) ]
% 1.53/1.95 )
% 1.53/1.95 .
% 1.53/1.95 clause( 161, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies( Z
% 1.53/1.95 , implies( Y, not( X ) ) ) ) ) ] )
% 1.53/1.95 .
% 1.53/1.95 clause( 183, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 1.53/1.95 implies( Z, Y ), T ) ), implies( Y, T ) ) ) ] )
% 1.53/1.95 .
% 1.53/1.95 clause( 214, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 1.53/1.95 .
% 1.53/1.95 clause( 216, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X
% 1.53/1.95 , X ), Y ) ) ) ] )
% 1.53/1.95 .
% 1.53/1.95 clause( 220, [ 'is_a_theorem'( implies( X, implies( Y, not( not( Y ) ) ) )
% 1.53/1.95 ) ] )
% 1.53/1.95 .
% 1.53/1.95 clause( 232, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) ) ] )
% 1.53/1.95 .
% 1.53/1.95 clause( 234, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.53/1.95 not( X ), implies( X, Y ) ), Z ) ) ) ] )
% 1.53/1.95 .
% 1.53/1.95 clause( 237, [ 'is_a_theorem'( implies( X, not( not( X ) ) ) ) ] )
% 1.53/1.95 .
% 1.53/1.95 clause( 239, [ 'is_a_theorem'( not( not( implies( X, X ) ) ) ) ] )
% 1.53/1.95 .
% 1.53/1.95 clause( 256, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( not( not(
% 1.53/1.95 implies( X, X ) ) ), Y ) ) ) ] )
% 1.53/1.95 .
% 1.53/1.95 clause( 303, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 1.53/1.95 implies( Z, Z ), X ), Y ) ) ) ] )
% 1.53/1.95 .
% 1.53/1.95 clause( 466, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.53/1.95 implies( implies( Y, X ), implies( Y, Z ) ) ) ) ] )
% 1.53/1.95 .
% 1.53/1.95 clause( 542, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 1.53/1.95 implies( Z, Y ) ) ) ] )
% 1.53/1.95 .
% 1.53/1.95 clause( 553, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.53/1.95 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 1.53/1.95 .
% 1.53/1.95 clause( 601, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies( Y
% 1.53/1.95 , implies( X, Z ) ) ) ) ] )
% 1.53/1.95 .
% 1.53/1.95 clause( 614, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ] )
% 1.53/1.95 .
% 1.53/1.95 clause( 638, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 1.53/1.95 , implies( not( X ), Y ) ), Z ) ) ) ] )
% 1.53/1.95 .
% 1.53/1.95 clause( 698, [ 'is_a_theorem'( implies( implies( X, implies( not( not( Y )
% 1.53/1.95 ), Z ) ), implies( implies( Y, X ), implies( not( not( Y ) ), Z ) ) ) )
% 1.53/1.95 ] )
% 1.53/1.95 .
% 1.53/1.95 clause( 23432, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y,
% 1.53/1.95 Y ), Z ) ), implies( X, Z ) ) ) ] )
% 1.53/1.95 .
% 1.53/1.95 clause( 23480, [ 'is_a_theorem'( implies( implies( not( X ), Y ), implies(
% 1.53/1.95 implies( X, Y ), Y ) ) ) ] )
% 1.53/1.95 .
% 1.53/1.95 clause( 35076, [ 'is_a_theorem'( implies( implies( X, Y ), implies( not(
% 1.53/1.95 not( X ) ), Y ) ) ) ] )
% 1.53/1.95 .
% 1.53/1.95 clause( 35117, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 1.53/1.95 .
% 1.53/1.95 clause( 35125, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.53/1.95 not( not( X ) ), X ), Y ) ) ) ] )
% 1.53/1.95 .
% 1.53/1.95 clause( 35311, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 1.53/1.95 )
% 1.53/1.95 .
% 1.53/1.95 clause( 35480, [] )
% 1.53/1.95 .
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 % SZS output end Refutation
% 1.53/1.95 found a proof!
% 1.53/1.95
% 1.53/1.95 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.53/1.95
% 1.53/1.95 initialclauses(
% 1.53/1.95 [ clause( 35482, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~(
% 1.53/1.95 'is_a_theorem'( X ) ), 'is_a_theorem'( Y ) ] )
% 1.53/1.95 , clause( 35483, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.53/1.95 implies( Y, Z ) ) ) ] )
% 1.53/1.95 , clause( 35484, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.53/1.95 implies( not( X ), Z ) ) ) ] )
% 1.53/1.95 , clause( 35485, [ 'is_a_theorem'( implies( implies( not( X ), Y ), implies(
% 1.53/1.95 implies( Z, Y ), implies( implies( X, Z ), Y ) ) ) ) ] )
% 1.53/1.95 , clause( 35486, [ ~( 'is_a_theorem'( implies( implies( not( a ), a ), a )
% 1.53/1.95 ) ) ] )
% 1.53/1.95 ] ).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 subsumption(
% 1.53/1.95 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 1.53/1.95 ~( 'is_a_theorem'( X ) ) ] )
% 1.53/1.95 , clause( 35482, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~(
% 1.53/1.95 'is_a_theorem'( X ) ), 'is_a_theorem'( Y ) ] )
% 1.53/1.95 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.53/1.95 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 subsumption(
% 1.53/1.95 clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.53/1.95 implies( Y, Z ) ) ) ] )
% 1.53/1.95 , clause( 35483, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.53/1.95 implies( Y, Z ) ) ) ] )
% 1.53/1.95 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.53/1.95 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 subsumption(
% 1.53/1.95 clause( 2, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.53/1.95 implies( not( X ), Z ) ) ) ] )
% 1.53/1.95 , clause( 35484, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.53/1.95 implies( not( X ), Z ) ) ) ] )
% 1.53/1.95 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.53/1.95 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 subsumption(
% 1.53/1.95 clause( 3, [ 'is_a_theorem'( implies( implies( not( X ), Y ), implies(
% 1.53/1.95 implies( Z, Y ), implies( implies( X, Z ), Y ) ) ) ) ] )
% 1.53/1.95 , clause( 35485, [ 'is_a_theorem'( implies( implies( not( X ), Y ), implies(
% 1.53/1.95 implies( Z, Y ), implies( implies( X, Z ), Y ) ) ) ) ] )
% 1.53/1.95 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.53/1.95 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 subsumption(
% 1.53/1.95 clause( 4, [ ~( 'is_a_theorem'( implies( implies( not( a ), a ), a ) ) ) ]
% 1.53/1.95 )
% 1.53/1.95 , clause( 35486, [ ~( 'is_a_theorem'( implies( implies( not( a ), a ), a )
% 1.53/1.95 ) ) ] )
% 1.53/1.95 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 resolution(
% 1.53/1.95 clause( 35488, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 1.53/1.95 Y ), Z ), implies( Y, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.53/1.95 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.53/1.95 , ~( 'is_a_theorem'( X ) ) ] )
% 1.53/1.95 , 2, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.53/1.95 implies( Y, Z ) ) ) ] )
% 1.53/1.95 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), Z ),
% 1.53/1.95 implies( Y, Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y
% 1.53/1.95 , Y ), :=( Z, Z )] )).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 subsumption(
% 1.53/1.95 clause( 5, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.53/1.95 implies( implies( X, Y ), Z ), implies( Y, Z ) ), T ) ) ) ] )
% 1.53/1.95 , clause( 35488, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 1.53/1.95 , Y ), Z ), implies( Y, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.53/1.95 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.53/1.95 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 resolution(
% 1.53/1.95 clause( 35490, [ ~( 'is_a_theorem'( implies( implies( implies( not( X ), Y
% 1.53/1.95 ), implies( implies( Z, Y ), implies( implies( X, Z ), Y ) ) ), T ) ) )
% 1.53/1.95 , 'is_a_theorem'( T ) ] )
% 1.53/1.95 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.53/1.95 , ~( 'is_a_theorem'( X ) ) ] )
% 1.53/1.95 , 2, clause( 3, [ 'is_a_theorem'( implies( implies( not( X ), Y ), implies(
% 1.53/1.95 implies( Z, Y ), implies( implies( X, Z ), Y ) ) ) ) ] )
% 1.53/1.95 , 0, substitution( 0, [ :=( X, implies( implies( not( X ), Y ), implies(
% 1.53/1.95 implies( Z, Y ), implies( implies( X, Z ), Y ) ) ) ), :=( Y, T )] ),
% 1.53/1.95 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 subsumption(
% 1.53/1.95 clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.53/1.95 implies( not( X ), Y ), implies( implies( Z, Y ), implies( implies( X, Z
% 1.53/1.95 ), Y ) ) ), T ) ) ) ] )
% 1.53/1.95 , clause( 35490, [ ~( 'is_a_theorem'( implies( implies( implies( not( X ),
% 1.53/1.95 Y ), implies( implies( Z, Y ), implies( implies( X, Z ), Y ) ) ), T ) ) )
% 1.53/1.95 , 'is_a_theorem'( T ) ] )
% 1.53/1.95 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.53/1.95 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 resolution(
% 1.53/1.95 clause( 35491, [ 'is_a_theorem'( implies( not( implies( X, Y ) ), implies(
% 1.53/1.95 Y, Z ) ) ) ] )
% 1.53/1.95 , clause( 5, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.53/1.95 implies( implies( X, Y ), Z ), implies( Y, Z ) ), T ) ) ) ] )
% 1.53/1.95 , 1, clause( 2, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.53/1.95 implies( not( X ), Z ) ) ) ] )
% 1.53/1.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, implies(
% 1.53/1.95 not( implies( X, Y ) ), implies( Y, Z ) ) )] ), substitution( 1, [ :=( X
% 1.53/1.95 , implies( X, Y ) ), :=( Y, Z ), :=( Z, implies( Y, Z ) )] )).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 subsumption(
% 1.53/1.95 clause( 8, [ 'is_a_theorem'( implies( not( implies( X, Y ) ), implies( Y, Z
% 1.53/1.95 ) ) ) ] )
% 1.53/1.95 , clause( 35491, [ 'is_a_theorem'( implies( not( implies( X, Y ) ), implies(
% 1.53/1.95 Y, Z ) ) ) ] )
% 1.53/1.95 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.53/1.95 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 resolution(
% 1.53/1.95 clause( 35492, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 1.53/1.95 , clause( 5, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.53/1.95 implies( implies( X, Y ), Z ), implies( Y, Z ) ), T ) ) ) ] )
% 1.53/1.95 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.53/1.95 implies( Y, Z ) ) ) ] )
% 1.53/1.95 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X ), :=( T, implies(
% 1.53/1.95 X, implies( Y, X ) ) )] ), substitution( 1, [ :=( X, implies( Z, Y ) ),
% 1.53/1.95 :=( Y, X ), :=( Z, implies( Y, X ) )] )).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 subsumption(
% 1.53/1.95 clause( 9, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 1.53/1.95 , clause( 35492, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 1.53/1.95 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.53/1.95 )] ) ).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 resolution(
% 1.53/1.95 clause( 35494, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X ) )
% 1.53/1.95 , Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.53/1.95 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.53/1.95 , ~( 'is_a_theorem'( X ) ) ] )
% 1.53/1.95 , 2, clause( 9, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 1.53/1.95 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, X ) ) ), :=( Y, Z )] )
% 1.53/1.95 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 subsumption(
% 1.53/1.95 clause( 11, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 1.53/1.95 implies( Y, X ) ), Z ) ) ) ] )
% 1.53/1.95 , clause( 35494, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X )
% 1.53/1.95 ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.53/1.95 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.53/1.95 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 resolution(
% 1.53/1.95 clause( 35496, [ ~( 'is_a_theorem'( implies( implies( not( implies( X, Y )
% 1.53/1.95 ), implies( Y, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.53/1.95 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.53/1.95 , ~( 'is_a_theorem'( X ) ) ] )
% 1.53/1.95 , 2, clause( 8, [ 'is_a_theorem'( implies( not( implies( X, Y ) ), implies(
% 1.53/1.95 Y, Z ) ) ) ] )
% 1.53/1.95 , 0, substitution( 0, [ :=( X, implies( not( implies( X, Y ) ), implies( Y
% 1.53/1.95 , Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=(
% 1.53/1.95 Z, Z )] )).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 subsumption(
% 1.53/1.95 clause( 12, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( not(
% 1.53/1.95 implies( X, Y ) ), implies( Y, Z ) ), T ) ) ) ] )
% 1.53/1.95 , clause( 35496, [ ~( 'is_a_theorem'( implies( implies( not( implies( X, Y
% 1.53/1.95 ) ), implies( Y, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.53/1.95 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.53/1.95 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 resolution(
% 1.53/1.95 clause( 35497, [ 'is_a_theorem'( implies( not( X ), implies( Y, implies( X
% 1.53/1.95 , Z ) ) ) ) ] )
% 1.53/1.95 , clause( 11, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 1.53/1.95 , implies( Y, X ) ), Z ) ) ) ] )
% 1.53/1.95 , 1, clause( 2, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.53/1.95 implies( not( X ), Z ) ) ) ] )
% 1.53/1.95 , 0, substitution( 0, [ :=( X, implies( X, Z ) ), :=( Y, Y ), :=( Z,
% 1.53/1.95 implies( not( X ), implies( Y, implies( X, Z ) ) ) )] ), substitution( 1
% 1.53/1.95 , [ :=( X, X ), :=( Y, Z ), :=( Z, implies( Y, implies( X, Z ) ) )] )
% 1.53/1.95 ).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 subsumption(
% 1.53/1.95 clause( 15, [ 'is_a_theorem'( implies( not( X ), implies( Y, implies( X, Z
% 1.53/1.95 ) ) ) ) ] )
% 1.53/1.95 , clause( 35497, [ 'is_a_theorem'( implies( not( X ), implies( Y, implies(
% 1.53/1.95 X, Z ) ) ) ) ] )
% 1.53/1.95 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.53/1.95 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 resolution(
% 1.53/1.95 clause( 35498, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, X ) )
% 1.53/1.95 ) ) ] )
% 1.53/1.95 , clause( 11, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 1.53/1.95 , implies( Y, X ) ), Z ) ) ) ] )
% 1.53/1.95 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.53/1.95 implies( Y, Z ) ) ) ] )
% 1.53/1.95 , 0, substitution( 0, [ :=( X, implies( Z, X ) ), :=( Y, Y ), :=( Z,
% 1.53/1.95 implies( X, implies( Y, implies( Z, X ) ) ) )] ), substitution( 1, [ :=(
% 1.53/1.95 X, Z ), :=( Y, X ), :=( Z, implies( Y, implies( Z, X ) ) )] )).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 subsumption(
% 1.53/1.95 clause( 16, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, X ) ) ) )
% 1.53/1.95 ] )
% 1.53/1.95 , clause( 35498, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, X )
% 1.53/1.95 ) ) ) ] )
% 1.53/1.95 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.53/1.95 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 resolution(
% 1.53/1.95 clause( 35500, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 1.53/1.95 implies( Z, X ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.53/1.95 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.53/1.95 , ~( 'is_a_theorem'( X ) ) ] )
% 1.53/1.95 , 2, clause( 16, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, X )
% 1.53/1.95 ) ) ) ] )
% 1.53/1.95 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( Z, X ) ) )
% 1.53/1.95 ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 1.53/1.95 ).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 subsumption(
% 1.53/1.95 clause( 23, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X,
% 1.53/1.95 implies( Y, implies( Z, X ) ) ), T ) ) ) ] )
% 1.53/1.95 , clause( 35500, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 1.53/1.95 implies( Z, X ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.53/1.95 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.53/1.95 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 resolution(
% 1.53/1.95 clause( 35502, [ ~( 'is_a_theorem'( implies( implies( not( X ), implies( Y
% 1.53/1.95 , implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.53/1.95 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.53/1.95 , ~( 'is_a_theorem'( X ) ) ] )
% 1.53/1.95 , 2, clause( 15, [ 'is_a_theorem'( implies( not( X ), implies( Y, implies(
% 1.53/1.95 X, Z ) ) ) ) ] )
% 1.53/1.95 , 0, substitution( 0, [ :=( X, implies( not( X ), implies( Y, implies( X, Z
% 1.53/1.95 ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z
% 1.53/1.95 , Z )] )).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 subsumption(
% 1.53/1.95 clause( 24, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( not(
% 1.53/1.95 X ), implies( Y, implies( X, Z ) ) ), T ) ) ) ] )
% 1.53/1.95 , clause( 35502, [ ~( 'is_a_theorem'( implies( implies( not( X ), implies(
% 1.53/1.95 Y, implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.53/1.95 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.53/1.95 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 resolution(
% 1.53/1.95 clause( 35503, [ 'is_a_theorem'( implies( not( not( X ) ), implies( implies(
% 1.53/1.95 Y, Z ), implies( implies( X, Y ), Z ) ) ) ) ] )
% 1.53/1.95 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.53/1.95 implies( not( X ), Y ), implies( implies( Z, Y ), implies( implies( X, Z
% 1.53/1.95 ), Y ) ) ), T ) ) ) ] )
% 1.53/1.95 , 1, clause( 2, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.53/1.95 implies( not( X ), Z ) ) ) ] )
% 1.53/1.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y ), :=( T, implies(
% 1.53/1.95 not( not( X ) ), implies( implies( Y, Z ), implies( implies( X, Y ), Z )
% 1.53/1.95 ) ) )] ), substitution( 1, [ :=( X, not( X ) ), :=( Y, Z ), :=( Z,
% 1.53/1.95 implies( implies( Y, Z ), implies( implies( X, Y ), Z ) ) )] )).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 subsumption(
% 1.53/1.95 clause( 29, [ 'is_a_theorem'( implies( not( not( X ) ), implies( implies( Y
% 1.53/1.95 , Z ), implies( implies( X, Y ), Z ) ) ) ) ] )
% 1.53/1.95 , clause( 35503, [ 'is_a_theorem'( implies( not( not( X ) ), implies(
% 1.53/1.95 implies( Y, Z ), implies( implies( X, Y ), Z ) ) ) ) ] )
% 1.53/1.95 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.53/1.95 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 resolution(
% 1.53/1.95 clause( 35504, [ 'is_a_theorem'( implies( implies( X, implies( Y, implies(
% 1.53/1.95 Z, not( T ) ) ) ), implies( implies( T, X ), implies( Y, implies( Z, not(
% 1.53/1.95 T ) ) ) ) ) ) ] )
% 1.53/1.95 , clause( 23, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 1.53/1.95 , implies( Y, implies( Z, X ) ) ), T ) ) ) ] )
% 1.53/1.95 , 1, clause( 3, [ 'is_a_theorem'( implies( implies( not( X ), Y ), implies(
% 1.53/1.95 implies( Z, Y ), implies( implies( X, Z ), Y ) ) ) ) ] )
% 1.53/1.95 , 0, substitution( 0, [ :=( X, not( T ) ), :=( Y, Y ), :=( Z, Z ), :=( T,
% 1.53/1.95 implies( implies( X, implies( Y, implies( Z, not( T ) ) ) ), implies(
% 1.53/1.95 implies( T, X ), implies( Y, implies( Z, not( T ) ) ) ) ) )] ),
% 1.53/1.95 substitution( 1, [ :=( X, T ), :=( Y, implies( Y, implies( Z, not( T ) )
% 1.53/1.95 ) ), :=( Z, X )] )).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 subsumption(
% 1.53/1.95 clause( 34, [ 'is_a_theorem'( implies( implies( X, implies( Y, implies( Z,
% 1.53/1.95 not( T ) ) ) ), implies( implies( T, X ), implies( Y, implies( Z, not( T
% 1.53/1.95 ) ) ) ) ) ) ] )
% 1.53/1.95 , clause( 35504, [ 'is_a_theorem'( implies( implies( X, implies( Y, implies(
% 1.53/1.95 Z, not( T ) ) ) ), implies( implies( T, X ), implies( Y, implies( Z, not(
% 1.53/1.95 T ) ) ) ) ) ) ] )
% 1.53/1.95 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.53/1.95 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 resolution(
% 1.53/1.95 clause( 35505, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.53/1.95 implies( implies( implies( T, Y ), X ), implies( Y, Z ) ) ) ) ] )
% 1.53/1.95 , clause( 12, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.53/1.95 not( implies( X, Y ) ), implies( Y, Z ) ), T ) ) ) ] )
% 1.53/1.95 , 1, clause( 3, [ 'is_a_theorem'( implies( implies( not( X ), Y ), implies(
% 1.53/1.95 implies( Z, Y ), implies( implies( X, Z ), Y ) ) ) ) ] )
% 1.53/1.95 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, implies(
% 1.53/1.95 implies( X, implies( Y, Z ) ), implies( implies( implies( T, Y ), X ),
% 1.53/1.95 implies( Y, Z ) ) ) )] ), substitution( 1, [ :=( X, implies( T, Y ) ),
% 1.53/1.95 :=( Y, implies( Y, Z ) ), :=( Z, X )] )).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 subsumption(
% 1.53/1.95 clause( 40, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.53/1.95 implies( implies( implies( T, Y ), X ), implies( Y, Z ) ) ) ) ] )
% 1.53/1.95 , clause( 35505, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.53/1.95 implies( implies( implies( T, Y ), X ), implies( Y, Z ) ) ) ) ] )
% 1.53/1.95 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.53/1.95 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 resolution(
% 1.53/1.95 clause( 35506, [ 'is_a_theorem'( implies( implies( X, implies( Y, implies(
% 1.53/1.95 Z, T ) ) ), implies( implies( Z, X ), implies( Y, implies( Z, T ) ) ) ) )
% 1.53/1.95 ] )
% 1.53/1.95 , clause( 24, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.53/1.95 not( X ), implies( Y, implies( X, Z ) ) ), T ) ) ) ] )
% 1.53/1.95 , 1, clause( 3, [ 'is_a_theorem'( implies( implies( not( X ), Y ), implies(
% 1.53/1.95 implies( Z, Y ), implies( implies( X, Z ), Y ) ) ) ) ] )
% 1.53/1.95 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, T ), :=( T, implies(
% 1.53/1.95 implies( X, implies( Y, implies( Z, T ) ) ), implies( implies( Z, X ),
% 1.53/1.95 implies( Y, implies( Z, T ) ) ) ) )] ), substitution( 1, [ :=( X, Z ),
% 1.53/1.95 :=( Y, implies( Y, implies( Z, T ) ) ), :=( Z, X )] )).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 subsumption(
% 1.53/1.95 clause( 79, [ 'is_a_theorem'( implies( implies( X, implies( Y, implies( Z,
% 1.53/1.95 T ) ) ), implies( implies( Z, X ), implies( Y, implies( Z, T ) ) ) ) ) ]
% 1.53/1.95 )
% 1.53/1.95 , clause( 35506, [ 'is_a_theorem'( implies( implies( X, implies( Y, implies(
% 1.53/1.95 Z, T ) ) ), implies( implies( Z, X ), implies( Y, implies( Z, T ) ) ) ) )
% 1.53/1.95 ] )
% 1.53/1.95 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.53/1.95 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 resolution(
% 1.53/1.95 clause( 35507, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 1.53/1.95 Z, implies( Y, not( X ) ) ) ) ) ] )
% 1.53/1.95 , clause( 24, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.53/1.95 not( X ), implies( Y, implies( X, Z ) ) ), T ) ) ) ] )
% 1.53/1.95 , 1, clause( 34, [ 'is_a_theorem'( implies( implies( X, implies( Y, implies(
% 1.53/1.95 Z, not( T ) ) ) ), implies( implies( T, X ), implies( Y, implies( Z, not(
% 1.53/1.95 T ) ) ) ) ) ) ] )
% 1.53/1.95 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, not( X ) ), :=( T,
% 1.53/1.95 implies( implies( X, not( Y ) ), implies( Z, implies( Y, not( X ) ) ) ) )] )
% 1.53/1.95 , substitution( 1, [ :=( X, not( Y ) ), :=( Y, Z ), :=( Z, Y ), :=( T, X
% 1.53/1.95 )] )).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 subsumption(
% 1.53/1.95 clause( 161, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies( Z
% 1.53/1.95 , implies( Y, not( X ) ) ) ) ) ] )
% 1.53/1.95 , clause( 35507, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 1.53/1.95 Z, implies( Y, not( X ) ) ) ) ) ] )
% 1.53/1.95 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.53/1.95 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 resolution(
% 1.53/1.95 clause( 35508, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 1.53/1.95 implies( Z, Y ), T ) ), implies( Y, T ) ) ) ] )
% 1.53/1.95 , clause( 5, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.53/1.95 implies( implies( X, Y ), Z ), implies( Y, Z ) ), T ) ) ) ] )
% 1.53/1.95 , 1, clause( 40, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.53/1.95 implies( implies( implies( T, Y ), X ), implies( Y, Z ) ) ) ) ] )
% 1.53/1.95 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, T ), :=( T, implies(
% 1.53/1.95 implies( implies( X, Y ), implies( implies( Z, Y ), T ) ), implies( Y, T
% 1.53/1.95 ) ) )] ), substitution( 1, [ :=( X, implies( implies( Z, Y ), T ) ),
% 1.53/1.95 :=( Y, Y ), :=( Z, T ), :=( T, X )] )).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 subsumption(
% 1.53/1.95 clause( 183, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 1.53/1.95 implies( Z, Y ), T ) ), implies( Y, T ) ) ) ] )
% 1.53/1.95 , clause( 35508, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.53/1.95 implies( implies( Z, Y ), T ) ), implies( Y, T ) ) ) ] )
% 1.53/1.95 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.53/1.95 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 resolution(
% 1.53/1.95 clause( 35509, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 1.53/1.95 , clause( 5, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.53/1.95 implies( implies( X, Y ), Z ), implies( Y, Z ) ), T ) ) ) ] )
% 1.53/1.95 , 1, clause( 183, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.53/1.95 implies( implies( Z, Y ), T ) ), implies( Y, T ) ) ) ] )
% 1.53/1.95 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( Z, X ) ), :=( Z, X ),
% 1.53/1.95 :=( T, implies( X, X ) )] ), substitution( 1, [ :=( X, implies( Y,
% 1.53/1.95 implies( Z, X ) ) ), :=( Y, X ), :=( Z, Z ), :=( T, X )] )).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 subsumption(
% 1.53/1.95 clause( 214, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 1.53/1.95 , clause( 35509, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 1.53/1.95 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 resolution(
% 1.53/1.95 clause( 35511, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 1.53/1.95 'is_a_theorem'( Y ) ] )
% 1.53/1.95 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.53/1.95 , ~( 'is_a_theorem'( X ) ) ] )
% 1.53/1.95 , 2, clause( 214, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 1.53/1.95 , 0, substitution( 0, [ :=( X, implies( X, X ) ), :=( Y, Y )] ),
% 1.53/1.95 substitution( 1, [ :=( X, X )] )).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 subsumption(
% 1.53/1.95 clause( 216, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X
% 1.53/1.95 , X ), Y ) ) ) ] )
% 1.53/1.95 , clause( 35511, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 1.53/1.95 'is_a_theorem'( Y ) ] )
% 1.53/1.95 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 1.53/1.95 ), ==>( 1, 0 )] ) ).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 resolution(
% 1.53/1.95 clause( 35512, [ 'is_a_theorem'( implies( X, implies( Y, not( not( Y ) ) )
% 1.53/1.95 ) ) ] )
% 1.53/1.95 , clause( 216, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.53/1.95 X, X ), Y ) ) ) ] )
% 1.53/1.95 , 1, clause( 161, [ 'is_a_theorem'( implies( implies( X, not( Y ) ),
% 1.53/1.95 implies( Z, implies( Y, not( X ) ) ) ) ) ] )
% 1.53/1.95 , 0, substitution( 0, [ :=( X, not( Y ) ), :=( Y, implies( X, implies( Y,
% 1.53/1.95 not( not( Y ) ) ) ) )] ), substitution( 1, [ :=( X, not( Y ) ), :=( Y, Y
% 1.53/1.95 ), :=( Z, X )] )).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 subsumption(
% 1.53/1.95 clause( 220, [ 'is_a_theorem'( implies( X, implies( Y, not( not( Y ) ) ) )
% 1.53/1.95 ) ] )
% 1.53/1.95 , clause( 35512, [ 'is_a_theorem'( implies( X, implies( Y, not( not( Y ) )
% 1.53/1.95 ) ) ) ] )
% 1.53/1.95 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.53/1.95 )] ) ).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 resolution(
% 1.53/1.95 clause( 35513, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) ) ]
% 1.53/1.95 )
% 1.53/1.95 , clause( 216, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.53/1.95 X, X ), Y ) ) ) ] )
% 1.53/1.95 , 1, clause( 2, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.53/1.95 implies( not( X ), Z ) ) ) ] )
% 1.53/1.95 , 0, substitution( 0, [ :=( X, implies( X, Y ) ), :=( Y, implies( not( X )
% 1.53/1.95 , implies( X, Y ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=(
% 1.53/1.95 Z, implies( X, Y ) )] )).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 subsumption(
% 1.53/1.95 clause( 232, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) ) ] )
% 1.53/1.95 , clause( 35513, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) ) ]
% 1.53/1.95 )
% 1.53/1.95 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.53/1.95 )] ) ).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 resolution(
% 1.53/1.95 clause( 35515, [ ~( 'is_a_theorem'( implies( implies( not( X ), implies( X
% 1.53/1.95 , Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.53/1.95 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.53/1.95 , ~( 'is_a_theorem'( X ) ) ] )
% 1.53/1.95 , 2, clause( 232, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) )
% 1.53/1.95 ] )
% 1.53/1.95 , 0, substitution( 0, [ :=( X, implies( not( X ), implies( X, Y ) ) ), :=(
% 1.53/1.95 Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 subsumption(
% 1.53/1.95 clause( 234, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.53/1.95 not( X ), implies( X, Y ) ), Z ) ) ) ] )
% 1.53/1.95 , clause( 35515, [ ~( 'is_a_theorem'( implies( implies( not( X ), implies(
% 1.53/1.95 X, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.53/1.95 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.53/1.95 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 resolution(
% 1.53/1.95 clause( 35516, [ 'is_a_theorem'( implies( X, not( not( X ) ) ) ) ] )
% 1.53/1.95 , clause( 216, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.53/1.95 X, X ), Y ) ) ) ] )
% 1.53/1.95 , 1, clause( 220, [ 'is_a_theorem'( implies( X, implies( Y, not( not( Y ) )
% 1.53/1.95 ) ) ) ] )
% 1.53/1.95 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( X, not( not( X ) ) ) )] )
% 1.53/1.95 , substitution( 1, [ :=( X, implies( Y, Y ) ), :=( Y, X )] )).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 subsumption(
% 1.53/1.95 clause( 237, [ 'is_a_theorem'( implies( X, not( not( X ) ) ) ) ] )
% 1.53/1.95 , clause( 35516, [ 'is_a_theorem'( implies( X, not( not( X ) ) ) ) ] )
% 1.53/1.95 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 resolution(
% 1.53/1.95 clause( 35517, [ 'is_a_theorem'( not( not( implies( X, X ) ) ) ) ] )
% 1.53/1.95 , clause( 216, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.53/1.95 X, X ), Y ) ) ) ] )
% 1.53/1.95 , 1, clause( 237, [ 'is_a_theorem'( implies( X, not( not( X ) ) ) ) ] )
% 1.53/1.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, not( not( implies( X, X ) ) ) )] )
% 1.53/1.95 , substitution( 1, [ :=( X, implies( X, X ) )] )).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 subsumption(
% 1.53/1.95 clause( 239, [ 'is_a_theorem'( not( not( implies( X, X ) ) ) ) ] )
% 1.53/1.95 , clause( 35517, [ 'is_a_theorem'( not( not( implies( X, X ) ) ) ) ] )
% 1.53/1.95 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 resolution(
% 1.53/1.95 clause( 35518, [ ~( 'is_a_theorem'( implies( not( not( implies( X, X ) ) )
% 1.53/1.95 , Y ) ) ), 'is_a_theorem'( Y ) ] )
% 1.53/1.95 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.53/1.95 , ~( 'is_a_theorem'( X ) ) ] )
% 1.53/1.95 , 2, clause( 239, [ 'is_a_theorem'( not( not( implies( X, X ) ) ) ) ] )
% 1.53/1.95 , 0, substitution( 0, [ :=( X, not( not( implies( X, X ) ) ) ), :=( Y, Y )] )
% 1.53/1.95 , substitution( 1, [ :=( X, X )] )).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 subsumption(
% 1.53/1.95 clause( 256, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( not( not(
% 1.53/1.95 implies( X, X ) ) ), Y ) ) ) ] )
% 1.53/1.95 , clause( 35518, [ ~( 'is_a_theorem'( implies( not( not( implies( X, X ) )
% 1.53/1.95 ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 1.53/1.95 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 1.53/1.95 ), ==>( 1, 0 )] ) ).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 resolution(
% 1.53/1.95 clause( 35519, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 1.53/1.95 implies( Z, Z ), X ), Y ) ) ) ] )
% 1.53/1.95 , clause( 256, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( not( not(
% 1.53/1.95 implies( X, X ) ) ), Y ) ) ) ] )
% 1.53/1.95 , 1, clause( 29, [ 'is_a_theorem'( implies( not( not( X ) ), implies(
% 1.53/1.95 implies( Y, Z ), implies( implies( X, Y ), Z ) ) ) ) ] )
% 1.53/1.95 , 0, substitution( 0, [ :=( X, Z ), :=( Y, implies( implies( X, Y ),
% 1.53/1.95 implies( implies( implies( Z, Z ), X ), Y ) ) )] ), substitution( 1, [
% 1.53/1.95 :=( X, implies( Z, Z ) ), :=( Y, X ), :=( Z, Y )] )).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 subsumption(
% 1.53/1.95 clause( 303, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 1.53/1.95 implies( Z, Z ), X ), Y ) ) ) ] )
% 1.53/1.95 , clause( 35519, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.53/1.95 implies( implies( Z, Z ), X ), Y ) ) ) ] )
% 1.53/1.95 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.53/1.95 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 resolution(
% 1.53/1.95 clause( 35520, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.53/1.95 implies( implies( Y, X ), implies( Y, Z ) ) ) ) ] )
% 1.53/1.95 , clause( 234, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.53/1.95 not( X ), implies( X, Y ) ), Z ) ) ) ] )
% 1.53/1.95 , 1, clause( 3, [ 'is_a_theorem'( implies( implies( not( X ), Y ), implies(
% 1.53/1.95 implies( Z, Y ), implies( implies( X, Z ), Y ) ) ) ) ] )
% 1.53/1.95 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( implies( X
% 1.53/1.95 , implies( Y, Z ) ), implies( implies( Y, X ), implies( Y, Z ) ) ) )] ),
% 1.53/1.95 substitution( 1, [ :=( X, Y ), :=( Y, implies( Y, Z ) ), :=( Z, X )] )
% 1.53/1.95 ).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 subsumption(
% 1.53/1.95 clause( 466, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.53/1.95 implies( implies( Y, X ), implies( Y, Z ) ) ) ) ] )
% 1.53/1.95 , clause( 35520, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.53/1.95 implies( implies( Y, X ), implies( Y, Z ) ) ) ) ] )
% 1.53/1.95 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.53/1.95 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 resolution(
% 1.53/1.95 clause( 35521, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 1.53/1.95 implies( Z, Y ) ) ) ] )
% 1.53/1.95 , clause( 11, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 1.53/1.95 , implies( Y, X ) ), Z ) ) ) ] )
% 1.53/1.95 , 1, clause( 303, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.53/1.95 implies( implies( Z, Z ), X ), Y ) ) ) ] )
% 1.53/1.95 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( implies(
% 1.53/1.95 implies( X, X ), Y ), implies( Z, Y ) ) )] ), substitution( 1, [ :=( X, Y
% 1.53/1.95 ), :=( Y, implies( Z, Y ) ), :=( Z, X )] )).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 subsumption(
% 1.53/1.95 clause( 542, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 1.53/1.95 implies( Z, Y ) ) ) ] )
% 1.53/1.95 , clause( 35521, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 1.53/1.95 implies( Z, Y ) ) ) ] )
% 1.53/1.95 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.53/1.95 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 resolution(
% 1.53/1.95 clause( 35523, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 1.53/1.95 X ), Y ), implies( Z, Y ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.53/1.95 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.53/1.95 , ~( 'is_a_theorem'( X ) ) ] )
% 1.53/1.95 , 2, clause( 542, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y )
% 1.53/1.95 , implies( Z, Y ) ) ) ] )
% 1.53/1.95 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, X ), Y ),
% 1.53/1.95 implies( Z, Y ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y
% 1.53/1.95 , Y ), :=( Z, Z )] )).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 subsumption(
% 1.53/1.95 clause( 553, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.53/1.95 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 1.53/1.95 , clause( 35523, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 1.53/1.95 , X ), Y ), implies( Z, Y ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.53/1.95 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.53/1.95 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 resolution(
% 1.53/1.95 clause( 35524, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 1.53/1.95 Y, implies( X, Z ) ) ) ) ] )
% 1.53/1.95 , clause( 234, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.53/1.95 not( X ), implies( X, Y ) ), Z ) ) ) ] )
% 1.53/1.95 , 1, clause( 79, [ 'is_a_theorem'( implies( implies( X, implies( Y, implies(
% 1.53/1.95 Z, T ) ) ), implies( implies( Z, X ), implies( Y, implies( Z, T ) ) ) ) )
% 1.53/1.95 ] )
% 1.53/1.95 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( X, Z ) ), :=( Z,
% 1.53/1.95 implies( implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ) )] ),
% 1.53/1.95 substitution( 1, [ :=( X, not( Y ) ), :=( Y, Y ), :=( Z, X ), :=( T, Z )] )
% 1.53/1.95 ).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 subsumption(
% 1.53/1.95 clause( 601, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies( Y
% 1.53/1.95 , implies( X, Z ) ) ) ) ] )
% 1.53/1.95 , clause( 35524, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 1.53/1.95 Y, implies( X, Z ) ) ) ) ] )
% 1.53/1.95 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.53/1.95 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 resolution(
% 1.53/1.95 clause( 35525, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 1.53/1.95 )
% 1.53/1.95 , clause( 216, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.53/1.95 X, X ), Y ) ) ) ] )
% 1.53/1.95 , 1, clause( 601, [ 'is_a_theorem'( implies( implies( X, not( Y ) ),
% 1.53/1.95 implies( Y, implies( X, Z ) ) ) ) ] )
% 1.53/1.95 , 0, substitution( 0, [ :=( X, not( X ) ), :=( Y, implies( X, implies( not(
% 1.53/1.95 X ), Y ) ) )] ), substitution( 1, [ :=( X, not( X ) ), :=( Y, X ), :=( Z
% 1.53/1.95 , Y )] )).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 subsumption(
% 1.53/1.95 clause( 614, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ] )
% 1.53/1.95 , clause( 35525, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 1.53/1.95 )
% 1.53/1.95 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.53/1.95 )] ) ).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 resolution(
% 1.53/1.95 clause( 35527, [ ~( 'is_a_theorem'( implies( implies( X, implies( not( X )
% 1.53/1.95 , Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.53/1.95 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.53/1.95 , ~( 'is_a_theorem'( X ) ) ] )
% 1.53/1.95 , 2, clause( 614, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) )
% 1.53/1.95 ] )
% 1.53/1.95 , 0, substitution( 0, [ :=( X, implies( X, implies( not( X ), Y ) ) ), :=(
% 1.53/1.95 Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 subsumption(
% 1.53/1.95 clause( 638, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 1.53/1.95 , implies( not( X ), Y ) ), Z ) ) ) ] )
% 1.53/1.95 , clause( 35527, [ ~( 'is_a_theorem'( implies( implies( X, implies( not( X
% 1.53/1.95 ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.53/1.95 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.53/1.95 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 resolution(
% 1.53/1.95 clause( 35528, [ 'is_a_theorem'( implies( implies( X, implies( not( not( Y
% 1.53/1.95 ) ), Z ) ), implies( implies( Y, X ), implies( not( not( Y ) ), Z ) ) )
% 1.53/1.95 ) ] )
% 1.53/1.95 , clause( 638, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.53/1.95 X, implies( not( X ), Y ) ), Z ) ) ) ] )
% 1.53/1.95 , 1, clause( 3, [ 'is_a_theorem'( implies( implies( not( X ), Y ), implies(
% 1.53/1.95 implies( Z, Y ), implies( implies( X, Z ), Y ) ) ) ) ] )
% 1.53/1.95 , 0, substitution( 0, [ :=( X, not( Y ) ), :=( Y, Z ), :=( Z, implies(
% 1.53/1.95 implies( X, implies( not( not( Y ) ), Z ) ), implies( implies( Y, X ),
% 1.53/1.95 implies( not( not( Y ) ), Z ) ) ) )] ), substitution( 1, [ :=( X, Y ),
% 1.53/1.95 :=( Y, implies( not( not( Y ) ), Z ) ), :=( Z, X )] )).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 subsumption(
% 1.53/1.95 clause( 698, [ 'is_a_theorem'( implies( implies( X, implies( not( not( Y )
% 1.53/1.95 ), Z ) ), implies( implies( Y, X ), implies( not( not( Y ) ), Z ) ) ) )
% 1.53/1.95 ] )
% 1.53/1.95 , clause( 35528, [ 'is_a_theorem'( implies( implies( X, implies( not( not(
% 1.53/1.95 Y ) ), Z ) ), implies( implies( Y, X ), implies( not( not( Y ) ), Z ) ) )
% 1.53/1.95 ) ] )
% 1.53/1.95 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.53/1.95 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 resolution(
% 1.53/1.95 clause( 35529, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y,
% 1.53/1.95 Y ), Z ) ), implies( X, Z ) ) ) ] )
% 1.53/1.95 , clause( 553, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.53/1.95 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 1.53/1.95 , 1, clause( 466, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) )
% 1.53/1.95 , implies( implies( Y, X ), implies( Y, Z ) ) ) ) ] )
% 1.53/1.95 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, implies(
% 1.53/1.95 implies( X, implies( implies( Y, Y ), Z ) ), implies( X, Z ) ) )] ),
% 1.53/1.95 substitution( 1, [ :=( X, implies( implies( Y, Y ), Z ) ), :=( Y, X ),
% 1.53/1.95 :=( Z, Z )] )).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 subsumption(
% 1.53/1.95 clause( 23432, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y,
% 1.53/1.95 Y ), Z ) ), implies( X, Z ) ) ) ] )
% 1.53/1.95 , clause( 35529, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 1.53/1.95 , Y ), Z ) ), implies( X, Z ) ) ) ] )
% 1.53/1.95 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.53/1.95 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 resolution(
% 1.53/1.95 clause( 35530, [ 'is_a_theorem'( implies( implies( not( X ), Y ), implies(
% 1.53/1.95 implies( X, Y ), Y ) ) ) ] )
% 1.53/1.95 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.53/1.95 implies( not( X ), Y ), implies( implies( Z, Y ), implies( implies( X, Z
% 1.53/1.95 ), Y ) ) ), T ) ) ) ] )
% 1.53/1.95 , 1, clause( 23432, [ 'is_a_theorem'( implies( implies( X, implies( implies(
% 1.53/1.95 Y, Y ), Z ) ), implies( X, Z ) ) ) ] )
% 1.53/1.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, implies(
% 1.53/1.95 implies( not( X ), Y ), implies( implies( X, Y ), Y ) ) )] ),
% 1.53/1.95 substitution( 1, [ :=( X, implies( not( X ), Y ) ), :=( Y, Y ), :=( Z,
% 1.53/1.95 implies( implies( X, Y ), Y ) )] )).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 subsumption(
% 1.53/1.95 clause( 23480, [ 'is_a_theorem'( implies( implies( not( X ), Y ), implies(
% 1.53/1.95 implies( X, Y ), Y ) ) ) ] )
% 1.53/1.95 , clause( 35530, [ 'is_a_theorem'( implies( implies( not( X ), Y ), implies(
% 1.53/1.95 implies( X, Y ), Y ) ) ) ] )
% 1.53/1.95 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.53/1.95 )] ) ).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 resolution(
% 1.53/1.95 clause( 35531, [ 'is_a_theorem'( implies( implies( X, Y ), implies( not(
% 1.53/1.95 not( X ) ), Y ) ) ) ] )
% 1.53/1.95 , clause( 11, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 1.53/1.95 , implies( Y, X ) ), Z ) ) ) ] )
% 1.53/1.95 , 1, clause( 698, [ 'is_a_theorem'( implies( implies( X, implies( not( not(
% 1.53/1.95 Y ) ), Z ) ), implies( implies( Y, X ), implies( not( not( Y ) ), Z ) ) )
% 1.53/1.95 ) ] )
% 1.53/1.95 , 0, substitution( 0, [ :=( X, Y ), :=( Y, not( not( X ) ) ), :=( Z,
% 1.53/1.95 implies( implies( X, Y ), implies( not( not( X ) ), Y ) ) )] ),
% 1.53/1.95 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Y )] )).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 subsumption(
% 1.53/1.95 clause( 35076, [ 'is_a_theorem'( implies( implies( X, Y ), implies( not(
% 1.53/1.95 not( X ) ), Y ) ) ) ] )
% 1.53/1.95 , clause( 35531, [ 'is_a_theorem'( implies( implies( X, Y ), implies( not(
% 1.53/1.95 not( X ) ), Y ) ) ) ] )
% 1.53/1.95 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.53/1.95 )] ) ).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 resolution(
% 1.53/1.95 clause( 35532, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 1.53/1.95 , clause( 216, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.53/1.95 X, X ), Y ) ) ) ] )
% 1.53/1.95 , 1, clause( 35076, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.53/1.95 not( not( X ) ), Y ) ) ) ] )
% 1.53/1.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( not( not( X ) ), X ) )] )
% 1.53/1.95 , substitution( 1, [ :=( X, X ), :=( Y, X )] )).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 subsumption(
% 1.53/1.95 clause( 35117, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 1.53/1.95 , clause( 35532, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 1.53/1.95 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 resolution(
% 1.53/1.95 clause( 35534, [ ~( 'is_a_theorem'( implies( implies( not( not( X ) ), X )
% 1.53/1.95 , Y ) ) ), 'is_a_theorem'( Y ) ] )
% 1.53/1.95 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.53/1.95 , ~( 'is_a_theorem'( X ) ) ] )
% 1.53/1.95 , 2, clause( 35117, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 1.53/1.95 , 0, substitution( 0, [ :=( X, implies( not( not( X ) ), X ) ), :=( Y, Y )] )
% 1.53/1.95 , substitution( 1, [ :=( X, X )] )).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 subsumption(
% 1.53/1.95 clause( 35125, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.53/1.95 not( not( X ) ), X ), Y ) ) ) ] )
% 1.53/1.95 , clause( 35534, [ ~( 'is_a_theorem'( implies( implies( not( not( X ) ), X
% 1.53/1.95 ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 1.53/1.95 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 1.53/1.95 ), ==>( 1, 0 )] ) ).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 resolution(
% 1.53/1.95 clause( 35535, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 1.53/1.95 )
% 1.53/1.95 , clause( 35125, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.53/1.95 not( not( X ) ), X ), Y ) ) ) ] )
% 1.53/1.95 , 1, clause( 23480, [ 'is_a_theorem'( implies( implies( not( X ), Y ),
% 1.53/1.95 implies( implies( X, Y ), Y ) ) ) ] )
% 1.53/1.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( implies( not( X ), X )
% 1.53/1.95 , X ) )] ), substitution( 1, [ :=( X, not( X ) ), :=( Y, X )] )).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 subsumption(
% 1.53/1.95 clause( 35311, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 1.53/1.95 )
% 1.53/1.95 , clause( 35535, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 1.53/1.95 )
% 1.53/1.95 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 resolution(
% 1.53/1.95 clause( 35536, [] )
% 1.53/1.95 , clause( 4, [ ~( 'is_a_theorem'( implies( implies( not( a ), a ), a ) ) )
% 1.53/1.95 ] )
% 1.53/1.95 , 0, clause( 35311, [ 'is_a_theorem'( implies( implies( not( X ), X ), X )
% 1.53/1.95 ) ] )
% 1.53/1.95 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a )] )).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 subsumption(
% 1.53/1.95 clause( 35480, [] )
% 1.53/1.95 , clause( 35536, [] )
% 1.53/1.95 , substitution( 0, [] ), permutation( 0, [] ) ).
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 end.
% 1.53/1.95
% 1.53/1.95 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.53/1.95
% 1.53/1.95 Memory use:
% 1.53/1.95
% 1.53/1.95 space for terms: 756449
% 1.53/1.95 space for clauses: 3493066
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 clauses generated: 141411
% 1.53/1.95 clauses kept: 35481
% 1.53/1.95 clauses selected: 2187
% 1.53/1.95 clauses deleted: 251
% 1.53/1.95 clauses inuse deleted: 31
% 1.53/1.95
% 1.53/1.95 subsentry: 113854
% 1.53/1.95 literals s-matched: 106182
% 1.53/1.95 literals matched: 106182
% 1.53/1.95 full subsumption: 0
% 1.53/1.95
% 1.53/1.95 checksum: 1628257048
% 1.53/1.95
% 1.53/1.95
% 1.53/1.95 Bliksem ended
%------------------------------------------------------------------------------