TSTP Solution File: LCL381-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL381-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 07:53:09 EDT 2022
% Result : Unsatisfiable 0.73s 1.38s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL381-1 : TPTP v8.1.0. Released v2.3.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sun Jul 3 14:32:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.73/1.37 *** allocated 10000 integers for termspace/termends
% 0.73/1.37 *** allocated 10000 integers for clauses
% 0.73/1.37 *** allocated 10000 integers for justifications
% 0.73/1.37 Bliksem 1.12
% 0.73/1.37
% 0.73/1.37
% 0.73/1.37 Automatic Strategy Selection
% 0.73/1.37
% 0.73/1.37 Clauses:
% 0.73/1.37 [
% 0.73/1.37 [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'( X ) ),
% 0.73/1.37 'is_a_theorem'( Y ) ],
% 0.73/1.37 [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.73/1.37 implies( X, Z ) ) ) ) ],
% 0.73/1.37 [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ],
% 0.73/1.37 [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ],
% 0.73/1.37 [ ~( 'is_a_theorem'( implies( implies( implies( not( not( x ) ), y ), z
% 0.73/1.37 ), implies( implies( x, y ), z ) ) ) ) ]
% 0.73/1.37 ] .
% 0.73/1.37
% 0.73/1.37
% 0.73/1.37 percentage equality = 0.000000, percentage horn = 1.000000
% 0.73/1.37 This is a near-Horn, non-equality problem
% 0.73/1.37
% 0.73/1.37
% 0.73/1.37 Options Used:
% 0.73/1.37
% 0.73/1.37 useres = 1
% 0.73/1.37 useparamod = 0
% 0.73/1.37 useeqrefl = 0
% 0.73/1.37 useeqfact = 0
% 0.73/1.37 usefactor = 1
% 0.73/1.37 usesimpsplitting = 0
% 0.73/1.37 usesimpdemod = 0
% 0.73/1.37 usesimpres = 4
% 0.73/1.37
% 0.73/1.37 resimpinuse = 1000
% 0.73/1.37 resimpclauses = 20000
% 0.73/1.37 substype = standard
% 0.73/1.37 backwardsubs = 1
% 0.73/1.37 selectoldest = 5
% 0.73/1.37
% 0.73/1.37 litorderings [0] = split
% 0.73/1.37 litorderings [1] = liftord
% 0.73/1.37
% 0.73/1.37 termordering = none
% 0.73/1.37
% 0.73/1.37 litapriori = 1
% 0.73/1.37 termapriori = 0
% 0.73/1.37 litaposteriori = 0
% 0.73/1.37 termaposteriori = 0
% 0.73/1.37 demodaposteriori = 0
% 0.73/1.37 ordereqreflfact = 0
% 0.73/1.37
% 0.73/1.37 litselect = negative
% 0.73/1.37
% 0.73/1.37 maxweight = 30000
% 0.73/1.37 maxdepth = 30000
% 0.73/1.37 maxlength = 115
% 0.73/1.37 maxnrvars = 195
% 0.73/1.37 excuselevel = 0
% 0.73/1.37 increasemaxweight = 0
% 0.73/1.37
% 0.73/1.37 maxselected = 10000000
% 0.73/1.37 maxnrclauses = 10000000
% 0.73/1.37
% 0.73/1.37 showgenerated = 0
% 0.73/1.37 showkept = 0
% 0.73/1.37 showselected = 0
% 0.73/1.37 showdeleted = 0
% 0.73/1.37 showresimp = 1
% 0.73/1.37 showstatus = 2000
% 0.73/1.37
% 0.73/1.37 prologoutput = 1
% 0.73/1.37 nrgoals = 5000000
% 0.73/1.37 totalproof = 1
% 0.73/1.37
% 0.73/1.37 Symbols occurring in the translation:
% 0.73/1.37
% 0.73/1.37 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.37 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.73/1.37 ! [4, 1] (w:1, o:15, a:1, s:1, b:0),
% 0.73/1.37 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.37 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.37 implies [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.73/1.37 'is_a_theorem' [42, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.73/1.38 not [44, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.73/1.38 x [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.73/1.38 y [46, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.73/1.38 z [47, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 Starting Search:
% 0.73/1.38
% 0.73/1.38 Resimplifying inuse:
% 0.73/1.38 Done
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 Intermediate Status:
% 0.73/1.38 Generated: 9342
% 0.73/1.38 Kept: 2041
% 0.73/1.38 Inuse: 393
% 0.73/1.38 Deleted: 40
% 0.73/1.38 Deletedinuse: 16
% 0.73/1.38
% 0.73/1.38 Resimplifying inuse:
% 0.73/1.38 Done
% 0.73/1.38
% 0.73/1.38 Resimplifying inuse:
% 0.73/1.38 Done
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 Intermediate Status:
% 0.73/1.38 Generated: 20832
% 0.73/1.38 Kept: 4052
% 0.73/1.38 Inuse: 595
% 0.73/1.38 Deleted: 65
% 0.73/1.38 Deletedinuse: 19
% 0.73/1.38
% 0.73/1.38 Resimplifying inuse:
% 0.73/1.38 Done
% 0.73/1.38
% 0.73/1.38 Resimplifying inuse:
% 0.73/1.38 Done
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 Intermediate Status:
% 0.73/1.38 Generated: 31061
% 0.73/1.38 Kept: 6096
% 0.73/1.38 Inuse: 735
% 0.73/1.38 Deleted: 77
% 0.73/1.38 Deletedinuse: 19
% 0.73/1.38
% 0.73/1.38 Resimplifying inuse:
% 0.73/1.38 Done
% 0.73/1.38
% 0.73/1.38 Resimplifying inuse:
% 0.73/1.38 Done
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 Intermediate Status:
% 0.73/1.38 Generated: 43420
% 0.73/1.38 Kept: 8137
% 0.73/1.38 Inuse: 885
% 0.73/1.38 Deleted: 89
% 0.73/1.38 Deletedinuse: 20
% 0.73/1.38
% 0.73/1.38 Resimplifying inuse:
% 0.73/1.38 Done
% 0.73/1.38
% 0.73/1.38 Resimplifying inuse:
% 0.73/1.38 Done
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 Intermediate Status:
% 0.73/1.38 Generated: 53123
% 0.73/1.38 Kept: 10163
% 0.73/1.38 Inuse: 1013
% 0.73/1.38 Deleted: 124
% 0.73/1.38 Deletedinuse: 49
% 0.73/1.38
% 0.73/1.38 Resimplifying inuse:
% 0.73/1.38
% 0.73/1.38 Bliksems!, er is een bewijs:
% 0.73/1.38 % SZS status Unsatisfiable
% 0.73/1.38 % SZS output start Refutation
% 0.73/1.38
% 0.73/1.38 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 0.73/1.38 ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y
% 0.73/1.38 , Z ), implies( X, Z ) ) ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 4, [ ~( 'is_a_theorem'( implies( implies( implies( not( not( x ) )
% 0.73/1.38 , y ), z ), implies( implies( x, y ), z ) ) ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 0.73/1.38 implies( not( X ), Y ) ), Z ) ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 0.73/1.38 )
% 0.73/1.38 .
% 0.73/1.38 clause( 8, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z )
% 0.73/1.38 , implies( X, Z ) ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 12, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 16, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 17, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.73/1.38 not( X ), X ), Y ) ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 21, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.73/1.38 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 23, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X,
% 0.73/1.38 X ), Y ) ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 25, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 26, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( not(
% 0.73/1.38 implies( X, X ) ), Y ), Z ) ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 41, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 implies( X, Y ), implies( implies( not( X ), X ), Y ) ), Z ) ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 45, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.73/1.38 implies( implies( implies( not( X ), T ), Y ), Z ) ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 94, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies( Y,
% 0.73/1.38 implies( X, Z ) ) ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 95, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.73/1.38 implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 97, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 0.73/1.38 implies( Z, X ), T ) ), U ) ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 98, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y ) ),
% 0.73/1.38 Z ) ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 101, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ), T ) ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 102, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.73/1.38 , implies( not( implies( Y, Y ) ), Z ) ), T ) ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 123, [ 'is_a_theorem'( implies( implies( implies( not( implies( X,
% 0.73/1.38 X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 133, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 135, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.73/1.38 , implies( Y, Y ) ), Z ) ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 142, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.73/1.38 implies( Z, Y ) ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 146, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 180, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.73/1.38 implies( X, Y ) ) ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 186, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.73/1.38 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 207, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 implies( X, Y ), implies( Z, implies( X, Y ) ) ), T ) ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 234, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.73/1.38 implies( implies( Y, Z ), implies( T, Z ) ) ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 235, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ), Y )
% 0.73/1.38 ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 238, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 implies( implies( X, X ), Y ), Y ), Z ) ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 258, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Y
% 0.73/1.38 ), Z ), Z ) ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 269, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.73/1.38 , implies( implies( implies( Y, Y ), Z ), Z ) ), T ) ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 309, [ 'is_a_theorem'( implies( implies( implies( implies( not( X )
% 0.73/1.38 , X ), X ), Y ), implies( Z, Y ) ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 316, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 implies( implies( implies( not( X ), X ), X ), Y ), implies( Z, Y ) ), T
% 0.73/1.38 ) ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 322, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z
% 0.73/1.38 ), implies( implies( Z, T ), implies( X, T ) ) ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 393, [ 'is_a_theorem'( implies( implies( implies( X, implies( not(
% 0.73/1.38 Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 1335, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.73/1.38 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 1610, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, Y
% 0.73/1.38 ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 6903, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.73/1.38 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 6935, [ 'is_a_theorem'( implies( implies( implies( implies( not( X
% 0.73/1.38 ), X ), X ), Y ), Y ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 6937, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 implies( implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 7271, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Y )
% 0.73/1.38 ), implies( X, Y ) ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 7276, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 7558, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 7573, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.73/1.38 , implies( Y, X ) ), Z ) ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 7646, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.73/1.38 implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 9029, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.73/1.38 implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 9054, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 0.73/1.38 ) ), T ), implies( not( X ), T ) ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 9063, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 9087, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 not( X ), implies( X, Y ) ), Z ) ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 9109, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 9197, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 not( not( X ) ), X ), Y ) ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 9738, [ 'is_a_theorem'( implies( implies( implies( not( not( X ) )
% 0.73/1.38 , Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 0.73/1.38 .
% 0.73/1.38 clause( 10326, [] )
% 0.73/1.38 .
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 % SZS output end Refutation
% 0.73/1.38 found a proof!
% 0.73/1.38
% 0.73/1.38 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.38
% 0.73/1.38 initialclauses(
% 0.73/1.38 [ clause( 10328, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~(
% 0.73/1.38 'is_a_theorem'( X ) ), 'is_a_theorem'( Y ) ] )
% 0.73/1.38 , clause( 10329, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.73/1.38 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.73/1.38 , clause( 10330, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 0.73/1.38 )
% 0.73/1.38 , clause( 10331, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 0.73/1.38 )
% 0.73/1.38 , clause( 10332, [ ~( 'is_a_theorem'( implies( implies( implies( not( not(
% 0.73/1.38 x ) ), y ), z ), implies( implies( x, y ), z ) ) ) ) ] )
% 0.73/1.38 ] ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 0.73/1.38 ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.38 , clause( 10328, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~(
% 0.73/1.38 'is_a_theorem'( X ) ), 'is_a_theorem'( Y ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.38 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y
% 0.73/1.38 , Z ), implies( X, Z ) ) ) ) ] )
% 0.73/1.38 , clause( 10329, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.73/1.38 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.38 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ] )
% 0.73/1.38 , clause( 10330, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 0.73/1.38 )
% 0.73/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ] )
% 0.73/1.38 , clause( 10331, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 0.73/1.38 )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.38 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 4, [ ~( 'is_a_theorem'( implies( implies( implies( not( not( x ) )
% 0.73/1.38 , y ), z ), implies( implies( x, y ), z ) ) ) ) ] )
% 0.73/1.38 , clause( 10332, [ ~( 'is_a_theorem'( implies( implies( implies( not( not(
% 0.73/1.38 x ) ), y ), z ), implies( implies( x, y ), z ) ) ) ) ] )
% 0.73/1.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10334, [ ~( 'is_a_theorem'( implies( implies( implies( not( X ), X
% 0.73/1.38 ), X ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 0.73/1.38 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.73/1.38 , ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.38 , 2, clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 0.73/1.38 )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, implies( implies( not( X ), X ), X ) ), :=(
% 0.73/1.38 Y, Y )] ), substitution( 1, [ :=( X, X )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.73/1.38 , clause( 10334, [ ~( 'is_a_theorem'( implies( implies( implies( not( X ),
% 0.73/1.38 X ), X ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.73/1.38 ), ==>( 1, 0 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10336, [ ~( 'is_a_theorem'( implies( implies( X, implies( not( X )
% 0.73/1.38 , Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.73/1.38 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.73/1.38 , ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.38 , 2, clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 0.73/1.38 )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, implies( X, implies( not( X ), Y ) ) ), :=(
% 0.73/1.38 Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 0.73/1.38 implies( not( X ), Y ) ), Z ) ) ) ] )
% 0.73/1.38 , clause( 10336, [ ~( 'is_a_theorem'( implies( implies( X, implies( not( X
% 0.73/1.38 ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.38 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10338, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.73/1.38 implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T
% 0.73/1.38 ) ] )
% 0.73/1.38 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.73/1.38 , ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.38 , 2, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.73/1.38 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( implies(
% 0.73/1.38 Y, Z ), implies( X, Z ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X
% 0.73/1.38 ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 0.73/1.38 )
% 0.73/1.38 , clause( 10338, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.73/1.38 implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T
% 0.73/1.38 ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.38 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10339, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ),
% 0.73/1.38 Z ), implies( X, Z ) ) ) ] )
% 0.73/1.38 , clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.73/1.38 , implies( not( X ), Y ) ), Z ) ) ) ] )
% 0.73/1.38 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.73/1.38 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( implies(
% 0.73/1.38 implies( not( X ), Y ), Z ), implies( X, Z ) ) )] ), substitution( 1, [
% 0.73/1.38 :=( X, X ), :=( Y, implies( not( X ), Y ) ), :=( Z, Z )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 8, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z )
% 0.73/1.38 , implies( X, Z ) ) ) ] )
% 0.73/1.38 , clause( 10339, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 0.73/1.38 , Z ), implies( X, Z ) ) ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.38 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10341, [ ~( 'is_a_theorem'( implies( implies( implies( implies( not(
% 0.73/1.38 X ), Y ), Z ), implies( X, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.73/1.38 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.73/1.38 , ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.38 , 2, clause( 8, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 0.73/1.38 , Z ), implies( X, Z ) ) ) ] )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, implies( implies( implies( not( X ), Y ), Z
% 0.73/1.38 ), implies( X, Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.38 :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 12, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 0.73/1.38 , clause( 10341, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.73/1.38 not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.38 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10342, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.73/1.38 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.73/1.38 , 1, clause( 8, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 0.73/1.38 , Z ), implies( X, Z ) ) ) ] )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( X, X ) )] ),
% 0.73/1.38 substitution( 1, [ :=( X, X ), :=( Y, X ), :=( Z, X )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 16, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.73/1.38 , clause( 10342, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10343, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.73/1.38 not( X ), X ), Y ) ) ) ] )
% 0.73/1.38 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.73/1.38 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.73/1.38 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( implies( X, Y ),
% 0.73/1.38 implies( implies( not( X ), X ), Y ) ) )] ), substitution( 1, [ :=( X,
% 0.73/1.38 implies( not( X ), X ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 17, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.73/1.38 not( X ), X ), Y ) ) ) ] )
% 0.73/1.38 , clause( 10343, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.73/1.38 implies( not( X ), X ), Y ) ) ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.38 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10344, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 0.73/1.38 , implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.73/1.38 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 0.73/1.38 )
% 0.73/1.38 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.73/1.38 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, implies(
% 0.73/1.38 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 0.73/1.38 implies( Z, X ), T ) ) )] ), substitution( 1, [ :=( X, implies( Z, X ) )
% 0.73/1.38 , :=( Y, implies( implies( X, Y ), implies( Z, Y ) ) ), :=( Z, T )] )
% 0.73/1.38 ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 21, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.73/1.38 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.73/1.38 , clause( 10344, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.73/1.38 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.38 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10346, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 0.73/1.38 'is_a_theorem'( Y ) ] )
% 0.73/1.38 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.73/1.38 , ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.38 , 2, clause( 16, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, implies( X, X ) ), :=( Y, Y )] ),
% 0.73/1.38 substitution( 1, [ :=( X, X )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 23, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X,
% 0.73/1.38 X ), Y ) ) ) ] )
% 0.73/1.38 , clause( 10346, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 0.73/1.38 'is_a_theorem'( Y ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.73/1.38 ), ==>( 1, 0 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10347, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ]
% 0.73/1.38 )
% 0.73/1.38 , clause( 23, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X
% 0.73/1.38 , X ), Y ) ) ) ] )
% 0.73/1.38 , 1, clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 0.73/1.38 )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( not( implies( X, X ) )
% 0.73/1.38 , Y ) )] ), substitution( 1, [ :=( X, implies( X, X ) ), :=( Y, Y )] )
% 0.73/1.38 ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 25, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ] )
% 0.73/1.38 , clause( 10347, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ]
% 0.73/1.38 )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.38 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10349, [ ~( 'is_a_theorem'( implies( implies( not( implies( X, X )
% 0.73/1.38 ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.73/1.38 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.73/1.38 , ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.38 , 2, clause( 25, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ]
% 0.73/1.38 )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, implies( not( implies( X, X ) ), Y ) ), :=(
% 0.73/1.38 Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 26, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( not(
% 0.73/1.38 implies( X, X ) ), Y ), Z ) ) ) ] )
% 0.73/1.38 , clause( 10349, [ ~( 'is_a_theorem'( implies( implies( not( implies( X, X
% 0.73/1.38 ) ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.38 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10351, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.73/1.38 implies( implies( not( X ), X ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.73/1.38 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.73/1.38 , ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.38 , 2, clause( 17, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.73/1.38 implies( not( X ), X ), Y ) ) ) ] )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( implies(
% 0.73/1.38 not( X ), X ), Y ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.38 :=( Y, Y )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 41, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 implies( X, Y ), implies( implies( not( X ), X ), Y ) ), Z ) ) ) ] )
% 0.73/1.38 , clause( 10351, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.73/1.38 implies( implies( not( X ), X ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.38 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10352, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.73/1.38 implies( implies( implies( not( X ), T ), Y ), Z ) ) ) ] )
% 0.73/1.38 , clause( 12, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 0.73/1.38 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.73/1.38 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Y ), :=( T, implies(
% 0.73/1.38 implies( implies( X, Y ), Z ), implies( implies( implies( not( X ), T ),
% 0.73/1.38 Y ), Z ) ) )] ), substitution( 1, [ :=( X, implies( implies( not( X ), T
% 0.73/1.38 ), Y ) ), :=( Y, implies( X, Y ) ), :=( Z, Z )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 45, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.73/1.38 implies( implies( implies( not( X ), T ), Y ), Z ) ) ) ] )
% 0.73/1.38 , clause( 10352, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.73/1.38 implies( implies( implies( not( X ), T ), Y ), Z ) ) ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.38 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10353, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 0.73/1.38 Y, implies( X, Z ) ) ) ) ] )
% 0.73/1.38 , clause( 12, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 0.73/1.38 , 1, clause( 21, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.73/1.38 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X, Z ) ),
% 0.73/1.38 :=( T, implies( implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ) )] )
% 0.73/1.38 , substitution( 1, [ :=( X, not( Y ) ), :=( Y, Z ), :=( Z, X ), :=( T,
% 0.73/1.38 implies( Y, implies( X, Z ) ) )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 94, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies( Y,
% 0.73/1.38 implies( X, Z ) ) ) ) ] )
% 0.73/1.38 , clause( 10353, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 0.73/1.38 Y, implies( X, Z ) ) ) ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.38 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10354, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.73/1.38 implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 0.73/1.38 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 0.73/1.38 )
% 0.73/1.38 , 1, clause( 21, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.73/1.38 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, implies( Y, Z ) ), :=( Y, implies( X, Z ) )
% 0.73/1.38 , :=( Z, T ), :=( T, implies( implies( X, Y ), implies( implies( implies(
% 0.73/1.38 X, Z ), T ), implies( implies( Y, Z ), T ) ) ) )] ), substitution( 1, [
% 0.73/1.38 :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, implies( implies( implies( X,
% 0.73/1.38 Z ), T ), implies( implies( Y, Z ), T ) ) )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 95, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.73/1.38 implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 0.73/1.38 , clause( 10354, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.73/1.38 implies( implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.38 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10356, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.73/1.38 implies( X, Y ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) )
% 0.73/1.38 , U ) ) ), 'is_a_theorem'( U ) ] )
% 0.73/1.38 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.73/1.38 , ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.38 , 2, clause( 21, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.73/1.38 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( X, Y ),
% 0.73/1.38 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ), :=( Y, U )] )
% 0.73/1.38 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.73/1.38 ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 97, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 0.73/1.38 implies( Z, X ), T ) ), U ) ) ) ] )
% 0.73/1.38 , clause( 10356, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.73/1.38 implies( X, Y ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) )
% 0.73/1.38 , U ) ) ), 'is_a_theorem'( U ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.73/1.38 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10357, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y )
% 0.73/1.38 ), Z ) ) ) ] )
% 0.73/1.38 , clause( 26, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 not( implies( X, X ) ), Y ), Z ) ) ) ] )
% 0.73/1.38 , 1, clause( 94, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 0.73/1.38 Y, implies( X, Z ) ) ) ) ] )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, Y ), :=( Y, not( X ) ), :=( Z, implies( X,
% 0.73/1.38 implies( not( implies( Y, Y ) ), Z ) ) )] ), substitution( 1, [ :=( X,
% 0.73/1.38 not( implies( Y, Y ) ) ), :=( Y, X ), :=( Z, Z )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 98, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y ) ),
% 0.73/1.38 Z ) ) ) ] )
% 0.73/1.38 , clause( 10357, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y
% 0.73/1.38 ) ), Z ) ) ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.38 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10359, [ ~( 'is_a_theorem'( implies( implies( implies( X, not( Y )
% 0.73/1.38 ), implies( Y, implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.73/1.38 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.73/1.38 , ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.38 , 2, clause( 94, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 0.73/1.38 Y, implies( X, Z ) ) ) ) ] )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, implies( implies( X, not( Y ) ), implies( Y
% 0.73/1.38 , implies( X, Z ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.38 :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 101, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ), T ) ) ) ] )
% 0.73/1.38 , clause( 10359, [ ~( 'is_a_theorem'( implies( implies( implies( X, not( Y
% 0.73/1.38 ) ), implies( Y, implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.38 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10361, [ ~( 'is_a_theorem'( implies( implies( X, implies( not(
% 0.73/1.38 implies( Y, Y ) ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.73/1.38 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.73/1.38 , ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.38 , 2, clause( 98, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y
% 0.73/1.38 ) ), Z ) ) ) ] )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, implies( X, implies( not( implies( Y, Y ) )
% 0.73/1.38 , Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=(
% 0.73/1.38 Z, Z )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 102, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.73/1.38 , implies( not( implies( Y, Y ) ), Z ) ), T ) ) ) ] )
% 0.73/1.38 , clause( 10361, [ ~( 'is_a_theorem'( implies( implies( X, implies( not(
% 0.73/1.38 implies( Y, Y ) ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.38 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10362, [ 'is_a_theorem'( implies( implies( implies( not( implies( X
% 0.73/1.38 , X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 0.73/1.38 , clause( 102, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 X, implies( not( implies( Y, Y ) ), Z ) ), T ) ) ) ] )
% 0.73/1.38 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.73/1.38 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, implies(
% 0.73/1.38 implies( implies( not( implies( X, X ) ), Y ), Z ), implies( T, Z ) ) )] )
% 0.73/1.38 , substitution( 1, [ :=( X, T ), :=( Y, implies( not( implies( X, X ) ),
% 0.73/1.38 Y ) ), :=( Z, Z )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 123, [ 'is_a_theorem'( implies( implies( implies( not( implies( X,
% 0.73/1.38 X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 0.73/1.38 , clause( 10362, [ 'is_a_theorem'( implies( implies( implies( not( implies(
% 0.73/1.38 X, X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.38 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10363, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.73/1.38 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.73/1.38 , 1, clause( 123, [ 'is_a_theorem'( implies( implies( implies( not( implies(
% 0.73/1.38 X, X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, implies( Y, Y ) ), :=( Y, implies( X,
% 0.73/1.38 implies( Y, Y ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, implies( Y
% 0.73/1.38 , Y ) ), :=( Z, implies( Y, Y ) ), :=( T, X )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 133, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.73/1.38 , clause( 10363, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.38 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10365, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, Y ) )
% 0.73/1.38 , Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.73/1.38 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.73/1.38 , ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.38 , 2, clause( 133, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, Y ) ) ), :=( Y, Z )] )
% 0.73/1.38 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 135, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.73/1.38 , implies( Y, Y ) ), Z ) ) ) ] )
% 0.73/1.38 , clause( 10365, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, Y )
% 0.73/1.38 ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.38 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10366, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.73/1.38 implies( Z, Y ) ) ) ] )
% 0.73/1.38 , clause( 135, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 X, implies( Y, Y ) ), Z ) ) ) ] )
% 0.73/1.38 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.73/1.38 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, implies( implies(
% 0.73/1.38 implies( X, X ), Y ), implies( Z, Y ) ) )] ), substitution( 1, [ :=( X, Z
% 0.73/1.38 ), :=( Y, implies( X, X ) ), :=( Z, Y )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 142, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.73/1.38 implies( Z, Y ) ) ) ] )
% 0.73/1.38 , clause( 10366, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.73/1.38 implies( Z, Y ) ) ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.38 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10368, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.73/1.38 X ), Y ), implies( Z, Y ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.73/1.38 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.73/1.38 , ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.38 , 2, clause( 142, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y )
% 0.73/1.38 , implies( Z, Y ) ) ) ] )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, X ), Y ),
% 0.73/1.38 implies( Z, Y ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.73/1.38 , Y ), :=( Z, Z )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 146, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 0.73/1.38 , clause( 10368, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 0.73/1.38 , X ), Y ), implies( Z, Y ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.38 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10369, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.73/1.38 implies( X, Y ) ) ) ) ] )
% 0.73/1.38 , clause( 146, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 0.73/1.38 , 1, clause( 21, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.73/1.38 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( X, Y ) ), :=( Z, Z ),
% 0.73/1.38 :=( T, implies( implies( X, Y ), implies( Z, implies( X, Y ) ) ) )] ),
% 0.73/1.38 substitution( 1, [ :=( X, Y ), :=( Y, Y ), :=( Z, X ), :=( T, implies( Z
% 0.73/1.38 , implies( X, Y ) ) )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 180, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.73/1.38 implies( X, Y ) ) ) ) ] )
% 0.73/1.38 , clause( 10369, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.73/1.38 implies( X, Y ) ) ) ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.38 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10370, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.73/1.38 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 0.73/1.38 , clause( 146, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 0.73/1.38 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.73/1.38 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, X ), :=( T, implies(
% 0.73/1.38 implies( implies( X, Y ), Z ), implies( implies( implies( T, T ), Y ), Z
% 0.73/1.38 ) ) )] ), substitution( 1, [ :=( X, implies( implies( T, T ), Y ) ),
% 0.73/1.38 :=( Y, implies( X, Y ) ), :=( Z, Z )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 186, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.73/1.38 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 0.73/1.38 , clause( 10370, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.73/1.38 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.38 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10372, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.73/1.38 implies( Z, implies( X, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.73/1.38 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.73/1.38 , ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.38 , 2, clause( 180, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.73/1.38 implies( X, Y ) ) ) ) ] )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( Z,
% 0.73/1.38 implies( X, Y ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=(
% 0.73/1.38 Y, Y ), :=( Z, Z )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 207, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 implies( X, Y ), implies( Z, implies( X, Y ) ) ), T ) ) ) ] )
% 0.73/1.38 , clause( 10372, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.73/1.38 implies( Z, implies( X, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.38 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10373, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.73/1.38 implies( implies( Y, Z ), implies( T, Z ) ) ) ) ] )
% 0.73/1.38 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 0.73/1.38 )
% 0.73/1.38 , 1, clause( 186, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 0.73/1.38 , implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, implies(
% 0.73/1.38 implies( implies( X, X ), Y ), implies( implies( Y, Z ), implies( T, Z )
% 0.73/1.38 ) ) )] ), substitution( 1, [ :=( X, T ), :=( Y, Y ), :=( Z, implies(
% 0.73/1.38 implies( Y, Z ), implies( T, Z ) ) ), :=( T, X )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 234, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.73/1.38 implies( implies( Y, Z ), implies( T, Z ) ) ) ) ] )
% 0.73/1.38 , clause( 10373, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.73/1.38 implies( implies( Y, Z ), implies( T, Z ) ) ) ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.38 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10374, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ), Y
% 0.73/1.38 ) ) ] )
% 0.73/1.38 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.73/1.38 , 1, clause( 186, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 0.73/1.38 , implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( implies( implies( X, X
% 0.73/1.38 ), Y ), Y ) )] ), substitution( 1, [ :=( X, not( Y ) ), :=( Y, Y ), :=(
% 0.73/1.38 Z, Y ), :=( T, X )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 235, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ), Y )
% 0.73/1.38 ) ] )
% 0.73/1.38 , clause( 10374, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.73/1.38 Y ) ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.38 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10376, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.73/1.38 X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.73/1.38 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.73/1.38 , ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.38 , 2, clause( 235, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y )
% 0.73/1.38 , Y ) ) ] )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, X ), Y ), Y )
% 0.73/1.38 ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 238, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 implies( implies( X, X ), Y ), Y ), Z ) ) ) ] )
% 0.73/1.38 , clause( 10376, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 0.73/1.38 , X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.38 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10377, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y,
% 0.73/1.38 Y ), Z ), Z ) ) ) ] )
% 0.73/1.38 , clause( 238, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 implies( implies( X, X ), Y ), Y ), Z ) ) ) ] )
% 0.73/1.38 , 1, clause( 180, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.73/1.38 implies( X, Y ) ) ) ) ] )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X, implies(
% 0.73/1.38 implies( implies( Y, Y ), Z ), Z ) ) )] ), substitution( 1, [ :=( X,
% 0.73/1.38 implies( implies( Y, Y ), Z ) ), :=( Y, Z ), :=( Z, X )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 258, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Y
% 0.73/1.38 ), Z ), Z ) ) ) ] )
% 0.73/1.38 , clause( 10377, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 0.73/1.38 , Y ), Z ), Z ) ) ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.38 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10379, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 0.73/1.38 implies( Y, Y ), Z ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.73/1.38 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.73/1.38 , ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.38 , 2, clause( 258, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.73/1.38 Y, Y ), Z ), Z ) ) ) ] )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( implies( Y, Y
% 0.73/1.38 ), Z ), Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y
% 0.73/1.38 ), :=( Z, Z )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 269, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.73/1.38 , implies( implies( implies( Y, Y ), Z ), Z ) ), T ) ) ) ] )
% 0.73/1.38 , clause( 10379, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 0.73/1.38 implies( Y, Y ), Z ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.38 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10380, [ 'is_a_theorem'( implies( implies( implies( implies( not( X
% 0.73/1.38 ), X ), X ), Y ), implies( Z, Y ) ) ) ] )
% 0.73/1.38 , clause( 41, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 implies( X, Y ), implies( implies( not( X ), X ), Y ) ), Z ) ) ) ] )
% 0.73/1.38 , 1, clause( 234, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y )
% 0.73/1.38 , implies( implies( Y, Z ), implies( T, Z ) ) ) ) ] )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, implies( implies(
% 0.73/1.38 implies( implies( not( X ), X ), X ), Y ), implies( Z, Y ) ) )] ),
% 0.73/1.38 substitution( 1, [ :=( X, X ), :=( Y, implies( implies( not( X ), X ), X
% 0.73/1.38 ) ), :=( Z, Y ), :=( T, Z )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 309, [ 'is_a_theorem'( implies( implies( implies( implies( not( X )
% 0.73/1.38 , X ), X ), Y ), implies( Z, Y ) ) ) ] )
% 0.73/1.38 , clause( 10380, [ 'is_a_theorem'( implies( implies( implies( implies( not(
% 0.73/1.38 X ), X ), X ), Y ), implies( Z, Y ) ) ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.38 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10382, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.73/1.38 implies( not( X ), X ), X ), Y ), implies( Z, Y ) ), T ) ) ),
% 0.73/1.38 'is_a_theorem'( T ) ] )
% 0.73/1.38 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.73/1.38 , ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.38 , 2, clause( 309, [ 'is_a_theorem'( implies( implies( implies( implies( not(
% 0.73/1.38 X ), X ), X ), Y ), implies( Z, Y ) ) ) ] )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( not( X )
% 0.73/1.38 , X ), X ), Y ), implies( Z, Y ) ) ), :=( Y, T )] ), substitution( 1, [
% 0.73/1.38 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 316, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 implies( implies( implies( not( X ), X ), X ), Y ), implies( Z, Y ) ), T
% 0.73/1.38 ) ) ) ] )
% 0.73/1.38 , clause( 10382, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.73/1.38 implies( not( X ), X ), X ), Y ), implies( Z, Y ) ), T ) ) ),
% 0.73/1.38 'is_a_theorem'( T ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.38 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10383, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ),
% 0.73/1.38 Z ), implies( implies( Z, T ), implies( X, T ) ) ) ) ] )
% 0.73/1.38 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 0.73/1.38 )
% 0.73/1.38 , 1, clause( 45, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.73/1.38 implies( implies( implies( not( X ), T ), Y ), Z ) ) ) ] )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 0.73/1.38 implies( implies( not( X ), Y ), Z ), implies( implies( Z, T ), implies(
% 0.73/1.38 X, T ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z,
% 0.73/1.38 implies( implies( Z, T ), implies( X, T ) ) ), :=( T, Y )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 322, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z
% 0.73/1.38 ), implies( implies( Z, T ), implies( X, T ) ) ) ) ] )
% 0.73/1.38 , clause( 10383, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 0.73/1.38 , Z ), implies( implies( Z, T ), implies( X, T ) ) ) ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.38 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10384, [ 'is_a_theorem'( implies( implies( implies( X, implies( not(
% 0.73/1.38 Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 0.73/1.38 , clause( 207, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 implies( X, Y ), implies( Z, implies( X, Y ) ) ), T ) ) ) ] )
% 0.73/1.38 , 1, clause( 322, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y
% 0.73/1.38 ), Z ), implies( implies( Z, T ), implies( X, T ) ) ) ) ] )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, not( Y ) ), :=( Y, Z ), :=( Z, X ), :=( T,
% 0.73/1.38 implies( implies( implies( X, implies( not( Y ), Z ) ), T ), implies( Y,
% 0.73/1.38 T ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X
% 0.73/1.38 , implies( not( Y ), Z ) ) ), :=( T, T )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 393, [ 'is_a_theorem'( implies( implies( implies( X, implies( not(
% 0.73/1.38 Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 0.73/1.38 , clause( 10384, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.73/1.38 not( Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.38 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10385, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.73/1.38 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 0.73/1.38 , clause( 97, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 0.73/1.38 implies( Z, X ), T ) ), U ) ) ) ] )
% 0.73/1.38 , 1, clause( 21, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.73/1.38 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 0.73/1.38 X, implies( T, Z ) ) ), :=( U, implies( implies( X, implies( Y, Z ) ),
% 0.73/1.38 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) )] ),
% 0.73/1.38 substitution( 1, [ :=( X, implies( Y, Z ) ), :=( Y, implies( T, Z ) ),
% 0.73/1.38 :=( Z, X ), :=( T, implies( implies( T, Y ), implies( X, implies( T, Z )
% 0.73/1.38 ) ) )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 1335, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.73/1.38 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 0.73/1.38 , clause( 10385, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.73/1.38 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.38 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10386, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y,
% 0.73/1.38 Y ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 0.73/1.38 , clause( 269, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 X, implies( implies( implies( Y, Y ), Z ), Z ) ), T ) ) ) ] )
% 0.73/1.38 , 1, clause( 1335, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) )
% 0.73/1.38 , implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, implies(
% 0.73/1.38 implies( X, implies( implies( Y, Y ), Z ) ), implies( T, implies( X, Z )
% 0.73/1.38 ) ) )] ), substitution( 1, [ :=( X, T ), :=( Y, implies( implies( Y, Y )
% 0.73/1.38 , Z ) ), :=( Z, Z ), :=( T, X )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 1610, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, Y
% 0.73/1.38 ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 0.73/1.38 , clause( 10386, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 0.73/1.38 , Y ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.38 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10387, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.73/1.38 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 0.73/1.38 , clause( 316, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 implies( implies( implies( not( X ), X ), X ), Y ), implies( Z, Y ) ), T
% 0.73/1.38 ) ) ) ] )
% 0.73/1.38 , 1, clause( 1610, [ 'is_a_theorem'( implies( implies( X, implies( implies(
% 0.73/1.38 Y, Y ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( T, T ) ),
% 0.73/1.38 :=( T, implies( X, implies( implies( implies( implies( not( Y ), Y ), Y )
% 0.73/1.38 , Z ), Z ) ) )] ), substitution( 1, [ :=( X, implies( implies( implies(
% 0.73/1.38 not( Y ), Y ), Y ), Z ) ), :=( Y, T ), :=( Z, Z ), :=( T, X )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 6903, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.73/1.38 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 0.73/1.38 , clause( 10387, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.73/1.38 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.38 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10388, [ 'is_a_theorem'( implies( implies( implies( implies( not( X
% 0.73/1.38 ), X ), X ), Y ), Y ) ) ] )
% 0.73/1.38 , clause( 316, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 implies( implies( implies( not( X ), X ), X ), Y ), implies( Z, Y ) ), T
% 0.73/1.38 ) ) ) ] )
% 0.73/1.38 , 1, clause( 6903, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.73/1.38 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, implies(
% 0.73/1.38 implies( implies( implies( not( X ), X ), X ), Y ), Y ) )] ),
% 0.73/1.38 substitution( 1, [ :=( X, implies( implies( implies( implies( not( Z ), Z
% 0.73/1.38 ), Z ), T ), implies( U, T ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 6935, [ 'is_a_theorem'( implies( implies( implies( implies( not( X
% 0.73/1.38 ), X ), X ), Y ), Y ) ) ] )
% 0.73/1.38 , clause( 10388, [ 'is_a_theorem'( implies( implies( implies( implies( not(
% 0.73/1.38 X ), X ), X ), Y ), Y ) ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.38 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10390, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.73/1.38 implies( not( X ), X ), X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.73/1.38 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.73/1.38 , ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.38 , 2, clause( 6935, [ 'is_a_theorem'( implies( implies( implies( implies(
% 0.73/1.38 not( X ), X ), X ), Y ), Y ) ) ] )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( not( X )
% 0.73/1.38 , X ), X ), Y ), Y ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.38 :=( Y, Y )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 6937, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 implies( implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ) ) ] )
% 0.73/1.38 , clause( 10390, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.73/1.38 implies( not( X ), X ), X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.38 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10391, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Y
% 0.73/1.38 ) ), implies( X, Y ) ) ) ] )
% 0.73/1.38 , clause( 6937, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 implies( implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ) ) ] )
% 0.73/1.38 , 1, clause( 21, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.73/1.38 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( X, Y ) ), :=( Z,
% 0.73/1.38 implies( implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ) )] ),
% 0.73/1.38 substitution( 1, [ :=( X, implies( not( Y ), Y ) ), :=( Y, Y ), :=( Z, X
% 0.73/1.38 ), :=( T, implies( X, Y ) )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 7271, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Y )
% 0.73/1.38 ), implies( X, Y ) ) ) ] )
% 0.73/1.38 , clause( 10391, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ),
% 0.73/1.38 Y ) ), implies( X, Y ) ) ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.38 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10393, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.73/1.38 not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.73/1.38 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.73/1.38 , ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.38 , 2, clause( 7271, [ 'is_a_theorem'( implies( implies( X, implies( not( Y )
% 0.73/1.38 , Y ) ), implies( X, Y ) ) ) ] )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, implies( implies( X, implies( not( Y ), Y )
% 0.73/1.38 ), implies( X, Y ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.38 :=( Y, Y )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 7276, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 0.73/1.38 , clause( 10393, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.73/1.38 not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.38 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10394, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.73/1.38 , clause( 7276, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 0.73/1.38 , 1, clause( 393, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.73/1.38 not( Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, implies( X, implies(
% 0.73/1.38 Y, X ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, X ),
% 0.73/1.38 :=( T, implies( Y, X ) )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 7558, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.73/1.38 , clause( 10394, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.38 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10396, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X ) )
% 0.73/1.38 , Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.73/1.38 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.73/1.38 , ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.38 , 2, clause( 7558, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, X ) ) ), :=( Y, Z )] )
% 0.73/1.38 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 7573, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.73/1.38 , implies( Y, X ) ), Z ) ) ) ] )
% 0.73/1.38 , clause( 10396, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X )
% 0.73/1.38 ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.38 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10397, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.73/1.38 implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 0.73/1.38 , clause( 7573, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 X, implies( Y, X ) ), Z ) ) ) ] )
% 0.73/1.38 , 1, clause( 95, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.73/1.38 implies( implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, implies( implies(
% 0.73/1.38 implies( X, Y ), Z ), implies( implies( implies( T, X ), Y ), Z ) ) )] )
% 0.73/1.38 , substitution( 1, [ :=( X, X ), :=( Y, implies( T, X ) ), :=( Z, Y ),
% 0.73/1.38 :=( T, Z )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 7646, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.73/1.38 implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 0.73/1.38 , clause( 10397, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.73/1.38 implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.38 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10398, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.73/1.38 implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 0.73/1.38 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 0.73/1.38 )
% 0.73/1.38 , 1, clause( 7646, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 0.73/1.38 , implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 0.73/1.38 implies( implies( X, Y ), Z ), implies( implies( Z, T ), implies( Y, T )
% 0.73/1.38 ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies(
% 0.73/1.38 implies( Z, T ), implies( Y, T ) ) ), :=( T, X )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 9029, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.73/1.38 implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 0.73/1.38 , clause( 10398, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.73/1.38 implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.38 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10399, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y,
% 0.73/1.38 Z ) ), T ), implies( not( X ), T ) ) ) ] )
% 0.73/1.38 , clause( 101, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ), T ) ) ) ] )
% 0.73/1.38 , 1, clause( 9029, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 0.73/1.38 , implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, implies(
% 0.73/1.38 implies( implies( X, implies( Y, Z ) ), T ), implies( not( X ), T ) ) )] )
% 0.73/1.38 , substitution( 1, [ :=( X, Y ), :=( Y, not( X ) ), :=( Z, implies( X,
% 0.73/1.38 implies( Y, Z ) ) ), :=( T, T )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 9054, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 0.73/1.38 ) ), T ), implies( not( X ), T ) ) ) ] )
% 0.73/1.38 , clause( 10399, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 0.73/1.38 , Z ) ), T ), implies( not( X ), T ) ) ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.38 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10400, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) ) ]
% 0.73/1.38 )
% 0.73/1.38 , clause( 7276, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 0.73/1.38 , 1, clause( 9054, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.73/1.38 Y, Z ) ), T ), implies( not( X ), T ) ) ) ] )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( not( X ),
% 0.73/1.38 implies( X, Y ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, not( Y ) )
% 0.73/1.38 , :=( Z, Y ), :=( T, implies( X, Y ) )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 9063, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) ) ] )
% 0.73/1.38 , clause( 10400, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) ) ]
% 0.73/1.38 )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.38 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10402, [ ~( 'is_a_theorem'( implies( implies( not( X ), implies( X
% 0.73/1.38 , Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.73/1.38 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.73/1.38 , ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.38 , 2, clause( 9063, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) )
% 0.73/1.38 ] )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, implies( not( X ), implies( X, Y ) ) ), :=(
% 0.73/1.38 Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 9087, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 not( X ), implies( X, Y ) ), Z ) ) ) ] )
% 0.73/1.38 , clause( 10402, [ ~( 'is_a_theorem'( implies( implies( not( X ), implies(
% 0.73/1.38 X, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.38 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10403, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 0.73/1.38 , clause( 9087, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 not( X ), implies( X, Y ) ), Z ) ) ) ] )
% 0.73/1.38 , 1, clause( 7271, [ 'is_a_theorem'( implies( implies( X, implies( not( Y )
% 0.73/1.38 , Y ) ), implies( X, Y ) ) ) ] )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, not( X ) ), :=( Y, X ), :=( Z, implies( not(
% 0.73/1.38 not( X ) ), X ) )] ), substitution( 1, [ :=( X, not( not( X ) ) ), :=( Y
% 0.73/1.38 , X )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 9109, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 0.73/1.38 , clause( 10403, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10405, [ ~( 'is_a_theorem'( implies( implies( not( not( X ) ), X )
% 0.73/1.38 , Y ) ) ), 'is_a_theorem'( Y ) ] )
% 0.73/1.38 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.73/1.38 , ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.38 , 2, clause( 9109, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, implies( not( not( X ) ), X ) ), :=( Y, Y )] )
% 0.73/1.38 , substitution( 1, [ :=( X, X )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 9197, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 not( not( X ) ), X ), Y ) ) ) ] )
% 0.73/1.38 , clause( 10405, [ ~( 'is_a_theorem'( implies( implies( not( not( X ) ), X
% 0.73/1.38 ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.73/1.38 ), ==>( 1, 0 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10406, [ 'is_a_theorem'( implies( implies( implies( not( not( X ) )
% 0.73/1.38 , Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 0.73/1.38 , clause( 9197, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.38 not( not( X ) ), X ), Y ) ) ) ] )
% 0.73/1.38 , 1, clause( 95, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.73/1.38 implies( implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 0.73/1.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( implies( implies( not(
% 0.73/1.38 not( X ) ), Y ), Z ), implies( implies( X, Y ), Z ) ) )] ),
% 0.73/1.38 substitution( 1, [ :=( X, not( not( X ) ) ), :=( Y, X ), :=( Z, Y ), :=(
% 0.73/1.38 T, Z )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 9738, [ 'is_a_theorem'( implies( implies( implies( not( not( X ) )
% 0.73/1.38 , Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 0.73/1.38 , clause( 10406, [ 'is_a_theorem'( implies( implies( implies( not( not( X )
% 0.73/1.38 ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 0.73/1.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.38 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 resolution(
% 0.73/1.38 clause( 10407, [] )
% 0.73/1.38 , clause( 4, [ ~( 'is_a_theorem'( implies( implies( implies( not( not( x )
% 0.73/1.38 ), y ), z ), implies( implies( x, y ), z ) ) ) ) ] )
% 0.73/1.38 , 0, clause( 9738, [ 'is_a_theorem'( implies( implies( implies( not( not( X
% 0.73/1.38 ) ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 0.73/1.38 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, x ), :=( Y, y ), :=(
% 0.73/1.38 Z, z )] )).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 subsumption(
% 0.73/1.38 clause( 10326, [] )
% 0.73/1.38 , clause( 10407, [] )
% 0.73/1.38 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 end.
% 0.73/1.38
% 0.73/1.38 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.38
% 0.73/1.38 Memory use:
% 0.73/1.38
% 0.73/1.38 space for terms: 222180
% 0.73/1.38 space for clauses: 1118346
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 clauses generated: 53582
% 0.73/1.38 clauses kept: 10327
% 0.73/1.38 clauses selected: 1015
% 0.73/1.38 clauses deleted: 126
% 0.73/1.38 clauses inuse deleted: 51
% 0.73/1.38
% 0.73/1.38 subsentry: 45195
% 0.73/1.38 literals s-matched: 43382
% 0.73/1.38 literals matched: 43381
% 0.73/1.38 full subsumption: 0
% 0.73/1.38
% 0.73/1.38 checksum: 1160229713
% 0.73/1.38
% 0.73/1.38
% 0.73/1.38 Bliksem ended
%------------------------------------------------------------------------------