TSTP Solution File: LCL095-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL095-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.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 07:50:15 EDT 2022
% Result : Unsatisfiable 0.82s 1.18s
% Output : Refutation 0.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL095-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n008.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 : Sat Jul 2 12:38:38 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.82/1.18 *** allocated 10000 integers for termspace/termends
% 0.82/1.18 *** allocated 10000 integers for clauses
% 0.82/1.18 *** allocated 10000 integers for justifications
% 0.82/1.18 Bliksem 1.12
% 0.82/1.18
% 0.82/1.18
% 0.82/1.18 Automatic Strategy Selection
% 0.82/1.18
% 0.82/1.18 Clauses:
% 0.82/1.18 [
% 0.82/1.18 [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'( X ) ),
% 0.82/1.18 'is_a_theorem'( Y ) ],
% 0.82/1.18 [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies( Z, T ) ),
% 0.82/1.18 implies( implies( T, X ), implies( U, implies( Z, X ) ) ) ) ) ],
% 0.82/1.18 [ ~( 'is_a_theorem'( implies( a, implies( implies( a, b ), b ) ) ) ) ]
% 0.82/1.18 ] .
% 0.82/1.18
% 0.82/1.18
% 0.82/1.18 percentage equality = 0.000000, percentage horn = 1.000000
% 0.82/1.18 This is a near-Horn, non-equality problem
% 0.82/1.18
% 0.82/1.18
% 0.82/1.18 Options Used:
% 0.82/1.18
% 0.82/1.18 useres = 1
% 0.82/1.18 useparamod = 0
% 0.82/1.18 useeqrefl = 0
% 0.82/1.18 useeqfact = 0
% 0.82/1.18 usefactor = 1
% 0.82/1.18 usesimpsplitting = 0
% 0.82/1.18 usesimpdemod = 0
% 0.82/1.18 usesimpres = 4
% 0.82/1.18
% 0.82/1.18 resimpinuse = 1000
% 0.82/1.18 resimpclauses = 20000
% 0.82/1.18 substype = standard
% 0.82/1.18 backwardsubs = 1
% 0.82/1.18 selectoldest = 5
% 0.82/1.18
% 0.82/1.18 litorderings [0] = split
% 0.82/1.18 litorderings [1] = liftord
% 0.82/1.18
% 0.82/1.18 termordering = none
% 0.82/1.18
% 0.82/1.18 litapriori = 1
% 0.82/1.18 termapriori = 0
% 0.82/1.18 litaposteriori = 0
% 0.82/1.18 termaposteriori = 0
% 0.82/1.18 demodaposteriori = 0
% 0.82/1.18 ordereqreflfact = 0
% 0.82/1.18
% 0.82/1.18 litselect = negative
% 0.82/1.18
% 0.82/1.18 maxweight = 30000
% 0.82/1.18 maxdepth = 30000
% 0.82/1.18 maxlength = 115
% 0.82/1.18 maxnrvars = 195
% 0.82/1.18 excuselevel = 0
% 0.82/1.18 increasemaxweight = 0
% 0.82/1.18
% 0.82/1.18 maxselected = 10000000
% 0.82/1.18 maxnrclauses = 10000000
% 0.82/1.18
% 0.82/1.18 showgenerated = 0
% 0.82/1.18 showkept = 0
% 0.82/1.18 showselected = 0
% 0.82/1.18 showdeleted = 0
% 0.82/1.18 showresimp = 1
% 0.82/1.18 showstatus = 2000
% 0.82/1.18
% 0.82/1.18 prologoutput = 1
% 0.82/1.18 nrgoals = 5000000
% 0.82/1.18 totalproof = 1
% 0.82/1.18
% 0.82/1.18 Symbols occurring in the translation:
% 0.82/1.18
% 0.82/1.18 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.82/1.18 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 0.82/1.18 ! [4, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.82/1.18 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.82/1.18 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.82/1.18 implies [41, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.82/1.18 'is_a_theorem' [42, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.82/1.18 a [48, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.82/1.18 b [49, 0] (w:1, o:17, a:1, s:1, b:0).
% 0.82/1.18
% 0.82/1.18
% 0.82/1.18 Starting Search:
% 0.82/1.18
% 0.82/1.18 Resimplifying inuse:
% 0.82/1.18 Done
% 0.82/1.18
% 0.82/1.18
% 0.82/1.18 Bliksems!, er is een bewijs:
% 0.82/1.18 % SZS status Unsatisfiable
% 0.82/1.18 % SZS output start Refutation
% 0.82/1.18
% 0.82/1.18 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 0.82/1.18 ~( 'is_a_theorem'( X ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies( Z
% 0.82/1.18 , T ) ), implies( implies( T, X ), implies( U, implies( Z, X ) ) ) ) ) ]
% 0.82/1.18 )
% 0.82/1.18 .
% 0.82/1.18 clause( 2, [ ~( 'is_a_theorem'( implies( a, implies( implies( a, b ), b ) )
% 0.82/1.18 ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.18 implies( implies( X, Y ), implies( Z, T ) ), implies( implies( T, X ),
% 0.82/1.18 implies( U, implies( Z, X ) ) ) ), W ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 4, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z )
% 0.82/1.18 ), implies( Z, T ) ), implies( U, implies( implies( W, Z ), implies( Z,
% 0.82/1.18 T ) ) ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 5, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.18 implies( implies( X, implies( Y, Z ) ), implies( Z, T ) ), implies( U,
% 0.82/1.18 implies( implies( W, Z ), implies( Z, T ) ) ) ), V0 ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 6, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ), implies(
% 0.82/1.18 Z, implies( implies( T, U ), implies( U, Z ) ) ) ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 7, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.82/1.18 implies( Y, Z ) ), implies( T, implies( U, Y ) ) ), implies( W, implies(
% 0.82/1.18 V0, implies( T, implies( U, Y ) ) ) ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y, implies(
% 0.82/1.18 implies( Z, T ), implies( T, Y ) ) ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 12, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.18 implies( X, Y ), implies( Y, implies( implies( Z, T ), implies( T, Y ) )
% 0.82/1.18 ) ), U ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 13, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.82/1.18 implies( Y, Z ) ), T ), implies( U, implies( Z, T ) ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 15, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Y,
% 0.82/1.18 Z ), implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 16, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.18 implies( implies( implies( X, Y ), implies( Y, Z ) ), T ), implies( U,
% 0.82/1.18 implies( Z, T ) ) ), W ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 17, [ 'is_a_theorem'( V1 ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.18 implies( implies( implies( X, Y ), implies( Y, Z ) ), implies( T, implies(
% 0.82/1.18 U, Y ) ) ), implies( W, implies( V0, implies( T, implies( U, Y ) ) ) ) )
% 0.82/1.18 , V1 ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 18, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), implies(
% 0.82/1.18 Z, implies( T, Y ) ) ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 19, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies( X,
% 0.82/1.18 implies( Y, implies( implies( Y, Z ), implies( T, implies( U, Z ) ) ) ) )
% 0.82/1.18 , W ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 23, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X,
% 0.82/1.18 implies( implies( X, Y ), implies( Z, implies( T, Y ) ) ) ), U ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 27, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z )
% 0.82/1.18 ), T ), implies( U, implies( implies( implies( T, W ), Z ), T ) ) ) ) ]
% 0.82/1.18 )
% 0.82/1.18 .
% 0.82/1.18 clause( 32, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.18 implies( implies( X, implies( Y, Z ) ), T ), implies( U, implies( implies(
% 0.82/1.18 implies( T, W ), Z ), T ) ) ), V0 ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 51, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.82/1.18 implies( Z, implies( T, Y ) ) ), U ), implies( W, implies( X, U ) ) ) ) ]
% 0.82/1.18 )
% 0.82/1.18 .
% 0.82/1.18 clause( 59, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.82/1.18 implies( T, U ), implies( U, implies( W, implies( V0, U ) ) ) ) ) ) ) ) ]
% 0.82/1.18 )
% 0.82/1.18 .
% 0.82/1.18 clause( 61, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.18 implies( implies( implies( X, Y ), implies( Z, implies( T, Y ) ) ), U ),
% 0.82/1.18 implies( W, implies( X, U ) ) ), V0 ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 74, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Z,
% 0.82/1.18 T ), implies( T, implies( U, implies( W, T ) ) ) ) ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 76, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ), implies(
% 0.82/1.18 Z, implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 78, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y, implies(
% 0.82/1.18 Z, implies( T, Y ) ) ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 84, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.18 implies( X, Y ), implies( Y, implies( Z, implies( T, Y ) ) ) ), U ) ) ) ]
% 0.82/1.18 )
% 0.82/1.18 .
% 0.82/1.18 clause( 85, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.82/1.18 implies( T, implies( U, implies( X, implies( Y, Z ) ) ) ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 111, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 0.82/1.18 ) ), T ), implies( U, implies( Z, T ) ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 119, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.82/1.18 T, implies( U, Y ) ) ) ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 121, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.18 implies( implies( X, implies( Y, Z ) ), T ), implies( U, implies( Z, T )
% 0.82/1.18 ) ), W ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 122, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.82/1.18 T, X ) ) ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 130, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X
% 0.82/1.18 , implies( Y, implies( Z, implies( T, X ) ) ) ), U ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 132, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.82/1.18 T, implies( U, implies( W, implies( V0, Y ) ) ) ) ) ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 133, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.82/1.18 T, implies( U, implies( W, Z ) ) ) ) ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 139, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies( X
% 0.82/1.18 , implies( Y, implies( Z, implies( T, implies( U, implies( W, Z ) ) ) ) )
% 0.82/1.18 ), V0 ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 149, [ 'is_a_theorem'( V1 ), ~( 'is_a_theorem'( implies( implies( X
% 0.82/1.18 , implies( Y, implies( Z, implies( T, implies( U, implies( W, implies( V0
% 0.82/1.18 , Y ) ) ) ) ) ) ), V1 ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 270, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 0.82/1.18 Z, implies( T, X ) ) ), implies( U, implies( W, implies( Z, implies( T, X
% 0.82/1.18 ) ) ) ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 327, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.82/1.18 T, implies( U, Z ) ) ) ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 330, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Z
% 0.82/1.18 , T ), implies( U, implies( T, T ) ) ) ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 332, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.82/1.18 T, Y ) ) ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 334, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, X ) ) )
% 0.82/1.18 ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 336, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.82/1.18 , implies( Y, implies( Z, X ) ) ), T ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 348, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.82/1.18 implies( T, implies( Z, Z ) ) ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 350, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.82/1.18 implies( Y, Y ) ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 353, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.18 implies( X, Y ), implies( Z, implies( Y, Y ) ) ), T ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 358, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.82/1.18 T, T ) ) ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 367, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Z ) ) )
% 0.82/1.18 ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 369, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 370, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.82/1.18 , implies( Y, implies( Z, Z ) ) ), T ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 371, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 373, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X
% 0.82/1.18 , X ), Y ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 374, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.82/1.18 T, Z ) ) ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 381, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) ) )
% 0.82/1.18 ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 383, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 384, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.82/1.18 , implies( Y, implies( Z, Y ) ) ), T ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 389, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.82/1.18 , implies( Y, X ) ), Z ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 398, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.82/1.18 implies( Z, implies( T, X ) ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 401, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.82/1.18 implies( implies( T, U ), T ), T ) ) ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 410, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.82/1.18 implies( T, implies( Y, Z ) ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 411, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.82/1.18 implies( implies( Z, T ), implies( U, implies( Y, T ) ) ) ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 412, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.18 implies( implies( X, Y ), Z ), implies( T, implies( Y, Z ) ) ), U ) ) ) ]
% 0.82/1.18 )
% 0.82/1.18 .
% 0.82/1.18 clause( 423, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 0.82/1.18 implies( Z, T ), Z ), Z ) ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 425, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 0.82/1.18 ), Y ), Y ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 427, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ), X )
% 0.82/1.18 ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 428, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.82/1.18 , implies( implies( implies( Y, Z ), Y ), Y ) ), T ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 449, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.82/1.18 implies( implies( implies( X, T ), X ), Y ) ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 451, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 0.82/1.18 ), Y ), implies( T, Y ) ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 464, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.82/1.18 implies( Z, X ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 466, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.18 implies( implies( X, Y ), X ), implies( Z, X ) ), T ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 477, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) ),
% 0.82/1.18 implies( Z, implies( T, implies( X, Y ) ) ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 513, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.82/1.18 Y, Z ), implies( T, implies( X, Z ) ) ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 577, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 0.82/1.18 implies( Z, T ), U ), implies( T, U ) ) ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 588, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 0.82/1.18 ), T ), implies( Z, T ) ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 590, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.82/1.18 implies( Y, Z ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 592, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.18 implies( implies( X, Y ), Z ), implies( Y, Z ) ), T ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 594, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.82/1.18 implies( T, implies( implies( implies( U, X ), Y ), Z ) ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 607, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y,
% 0.82/1.18 implies( Z, T ) ), Z ), implies( U, Z ) ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 629, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X,
% 0.82/1.18 implies( Z, Y ) ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 652, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.18 implies( X, Y ), implies( X, implies( Z, Y ) ) ), T ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 661, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 0.82/1.18 ) ), Y ), implies( T, Y ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 663, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.18 implies( implies( X, implies( Y, Z ) ), Y ), implies( T, Y ) ), U ) ) ) ]
% 0.82/1.18 )
% 0.82/1.18 .
% 0.82/1.18 clause( 1295, [ 'is_a_theorem'( implies( implies( X, implies( Y, implies( X
% 0.82/1.18 , Z ) ) ), implies( T, implies( U, implies( Y, implies( X, Z ) ) ) ) ) )
% 0.82/1.18 ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 1767, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.82/1.18 implies( Z, T ), T ) ) ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 1772, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Y
% 0.82/1.18 , Z ), Z ) ) ) ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 1774, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y ) )
% 0.82/1.18 ) ] )
% 0.82/1.18 .
% 0.82/1.18 clause( 1837, [] )
% 0.82/1.18 .
% 0.82/1.18
% 0.82/1.18
% 0.82/1.18 % SZS output end Refutation
% 0.82/1.18 found a proof!
% 0.82/1.18
% 0.82/1.18 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.82/1.18
% 0.82/1.18 initialclauses(
% 0.82/1.18 [ clause( 1839, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'(
% 0.82/1.18 X ) ), 'is_a_theorem'( Y ) ] )
% 0.82/1.18 , clause( 1840, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.82/1.18 implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X )
% 0.82/1.18 ) ) ) ) ] )
% 0.82/1.18 , clause( 1841, [ ~( 'is_a_theorem'( implies( a, implies( implies( a, b ),
% 0.82/1.18 b ) ) ) ) ] )
% 0.82/1.18 ] ).
% 0.82/1.18
% 0.82/1.18
% 0.82/1.18
% 0.82/1.18 subsumption(
% 0.82/1.18 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 0.82/1.18 ~( 'is_a_theorem'( X ) ) ] )
% 0.82/1.18 , clause( 1839, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'(
% 0.82/1.18 X ) ), 'is_a_theorem'( Y ) ] )
% 0.82/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.82/1.18 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.82/1.18
% 0.82/1.18
% 0.82/1.18 subsumption(
% 0.82/1.18 clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies( Z
% 0.82/1.18 , T ) ), implies( implies( T, X ), implies( U, implies( Z, X ) ) ) ) ) ]
% 0.82/1.18 )
% 0.82/1.18 , clause( 1840, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.82/1.18 implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X )
% 0.82/1.18 ) ) ) ) ] )
% 0.82/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.82/1.18 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.18
% 0.82/1.18
% 0.82/1.18 subsumption(
% 0.82/1.18 clause( 2, [ ~( 'is_a_theorem'( implies( a, implies( implies( a, b ), b ) )
% 0.82/1.18 ) ) ] )
% 0.82/1.18 , clause( 1841, [ ~( 'is_a_theorem'( implies( a, implies( implies( a, b ),
% 0.82/1.18 b ) ) ) ) ] )
% 0.82/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.18
% 0.82/1.18
% 0.82/1.18 resolution(
% 0.82/1.18 clause( 1843, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.82/1.18 ), implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z,
% 0.82/1.18 X ) ) ) ), W ) ) ), 'is_a_theorem'( W ) ] )
% 0.82/1.18 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.82/1.18 , ~( 'is_a_theorem'( X ) ) ] )
% 0.82/1.18 , 2, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.82/1.18 implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X )
% 0.82/1.18 ) ) ) ) ] )
% 0.82/1.18 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), implies(
% 0.82/1.18 Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X ) ) ) ) ),
% 0.82/1.18 :=( Y, W )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ),
% 0.82/1.18 :=( T, T ), :=( U, U )] )).
% 0.82/1.18
% 0.82/1.18
% 0.82/1.18 subsumption(
% 0.82/1.18 clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.18 implies( implies( X, Y ), implies( Z, T ) ), implies( implies( T, X ),
% 0.82/1.18 implies( U, implies( Z, X ) ) ) ), W ) ) ) ] )
% 0.82/1.18 , clause( 1843, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 0.82/1.18 , Y ), implies( Z, T ) ), implies( implies( T, X ), implies( U, implies(
% 0.82/1.18 Z, X ) ) ) ), W ) ) ), 'is_a_theorem'( W ) ] )
% 0.82/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.82/1.18 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.82/1.18
% 0.82/1.18
% 0.82/1.18 resolution(
% 0.82/1.18 clause( 1844, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 0.82/1.18 ) ), implies( Z, T ) ), implies( U, implies( implies( W, Z ), implies( Z
% 0.82/1.18 , T ) ) ) ) ) ] )
% 0.82/1.18 , clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.18 implies( implies( X, Y ), implies( Z, T ) ), implies( implies( T, X ),
% 0.82/1.18 implies( U, implies( Z, X ) ) ) ), W ) ) ) ] )
% 0.82/1.18 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.82/1.18 implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X )
% 0.82/1.18 ) ) ) ) ] )
% 0.82/1.18 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, Y ), :=( T, W ),
% 0.82/1.18 :=( U, X ), :=( W, implies( implies( implies( X, implies( Y, Z ) ),
% 0.82/1.18 implies( Z, T ) ), implies( U, implies( implies( W, Z ), implies( Z, T )
% 0.82/1.18 ) ) ) )] ), substitution( 1, [ :=( X, implies( Z, T ) ), :=( Y, implies(
% 0.82/1.18 Y, W ) ), :=( Z, implies( W, Z ) ), :=( T, implies( X, implies( Y, Z ) )
% 0.82/1.18 ), :=( U, U )] )).
% 0.82/1.18
% 0.82/1.18
% 0.82/1.18 subsumption(
% 0.82/1.18 clause( 4, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z )
% 0.82/1.18 ), implies( Z, T ) ), implies( U, implies( implies( W, Z ), implies( Z,
% 0.82/1.18 T ) ) ) ) ) ] )
% 0.82/1.18 , clause( 1844, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 0.82/1.18 , Z ) ), implies( Z, T ) ), implies( U, implies( implies( W, Z ), implies(
% 0.82/1.18 Z, T ) ) ) ) ) ] )
% 0.82/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.82/1.18 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.18
% 0.82/1.18
% 0.82/1.18 resolution(
% 0.82/1.18 clause( 1846, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.82/1.18 implies( Y, Z ) ), implies( Z, T ) ), implies( U, implies( implies( W, Z
% 0.82/1.18 ), implies( Z, T ) ) ) ), V0 ) ) ), 'is_a_theorem'( V0 ) ] )
% 0.82/1.18 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.82/1.18 , ~( 'is_a_theorem'( X ) ) ] )
% 0.82/1.18 , 2, clause( 4, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 0.82/1.18 , Z ) ), implies( Z, T ) ), implies( U, implies( implies( W, Z ), implies(
% 0.82/1.18 Z, T ) ) ) ) ) ] )
% 0.82/1.18 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, implies( Y, Z
% 0.82/1.18 ) ), implies( Z, T ) ), implies( U, implies( implies( W, Z ), implies( Z
% 0.82/1.18 , T ) ) ) ) ), :=( Y, V0 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )
% 0.82/1.18 , :=( Z, Z ), :=( T, T ), :=( U, U ), :=( W, W )] )).
% 0.82/1.18
% 0.82/1.18
% 0.82/1.18 subsumption(
% 0.82/1.18 clause( 5, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.18 implies( implies( X, implies( Y, Z ) ), implies( Z, T ) ), implies( U,
% 0.82/1.18 implies( implies( W, Z ), implies( Z, T ) ) ) ), V0 ) ) ) ] )
% 0.82/1.18 , clause( 1846, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 0.82/1.18 , implies( Y, Z ) ), implies( Z, T ) ), implies( U, implies( implies( W,
% 0.82/1.18 Z ), implies( Z, T ) ) ) ), V0 ) ) ), 'is_a_theorem'( V0 ) ] )
% 0.82/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.82/1.18 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1
% 0.82/1.18 , 0 )] ) ).
% 0.82/1.18
% 0.82/1.18
% 0.82/1.18 resolution(
% 0.82/1.18 clause( 1847, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.82/1.18 implies( Z, implies( implies( T, U ), implies( U, Z ) ) ) ) ) ) ] )
% 0.82/1.18 , clause( 5, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.18 implies( implies( X, implies( Y, Z ) ), implies( Z, T ) ), implies( U,
% 0.82/1.18 implies( implies( W, Z ), implies( Z, T ) ) ) ), V0 ) ) ) ] )
% 0.82/1.18 , 1, clause( 4, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 0.82/1.19 , Z ) ), implies( Z, T ) ), implies( U, implies( implies( W, Z ), implies(
% 0.82/1.19 Z, T ) ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, W ), :=( Y, V0 ), :=( Z, U ), :=( T, Z ),
% 0.82/1.19 :=( U, Z ), :=( W, T ), :=( V0, implies( X, implies( implies( Y, Z ),
% 0.82/1.19 implies( Z, implies( implies( T, U ), implies( U, Z ) ) ) ) ) )] ),
% 0.82/1.19 substitution( 1, [ :=( X, implies( W, implies( V0, U ) ) ), :=( Y, U ),
% 0.82/1.19 :=( Z, Z ), :=( T, implies( implies( T, U ), implies( U, Z ) ) ), :=( U,
% 0.82/1.19 X ), :=( W, Y )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 6, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ), implies(
% 0.82/1.19 Z, implies( implies( T, U ), implies( U, Z ) ) ) ) ) ) ] )
% 0.82/1.19 , clause( 1847, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.82/1.19 implies( Z, implies( implies( T, U ), implies( U, Z ) ) ) ) ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.82/1.19 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1848, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 0.82/1.19 , implies( Y, Z ) ), implies( T, implies( U, Y ) ) ), implies( W, implies(
% 0.82/1.19 V0, implies( T, implies( U, Y ) ) ) ) ) ) ] )
% 0.82/1.19 , clause( 5, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 implies( implies( X, implies( Y, Z ) ), implies( Z, T ) ), implies( U,
% 0.82/1.19 implies( implies( W, Z ), implies( Z, T ) ) ) ), V0 ) ) ) ] )
% 0.82/1.19 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.82/1.19 implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X )
% 0.82/1.19 ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, Y ), :=( T, Z ),
% 0.82/1.19 :=( U, V0 ), :=( W, X ), :=( V0, implies( implies( implies( implies( X, Y
% 0.82/1.19 ), implies( Y, Z ) ), implies( T, implies( U, Y ) ) ), implies( W,
% 0.82/1.19 implies( V0, implies( T, implies( U, Y ) ) ) ) ) )] ), substitution( 1, [
% 0.82/1.19 :=( X, implies( T, implies( U, Y ) ) ), :=( Y, implies( Y, Z ) ), :=( Z
% 0.82/1.19 , V0 ), :=( T, implies( implies( X, Y ), implies( Y, Z ) ) ), :=( U, W )] )
% 0.82/1.19 ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 7, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.82/1.19 implies( Y, Z ) ), implies( T, implies( U, Y ) ) ), implies( W, implies(
% 0.82/1.19 V0, implies( T, implies( U, Y ) ) ) ) ) ) ] )
% 0.82/1.19 , clause( 1848, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.82/1.19 ), implies( Y, Z ) ), implies( T, implies( U, Y ) ) ), implies( W,
% 0.82/1.19 implies( V0, implies( T, implies( U, Y ) ) ) ) ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.82/1.19 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 )] )
% 0.82/1.19 ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1849, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y,
% 0.82/1.19 implies( implies( Z, T ), implies( T, Y ) ) ) ) ) ] )
% 0.82/1.19 , clause( 5, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 implies( implies( X, implies( Y, Z ) ), implies( Z, T ) ), implies( U,
% 0.82/1.19 implies( implies( W, Z ), implies( Z, T ) ) ) ), V0 ) ) ) ] )
% 0.82/1.19 , 1, clause( 6, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.82/1.19 implies( Z, implies( implies( T, U ), implies( U, Z ) ) ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, V0 ), :=( T, V1 ),
% 0.82/1.19 :=( U, V2 ), :=( W, V3 ), :=( V0, implies( implies( X, Y ), implies( Y,
% 0.82/1.19 implies( implies( Z, T ), implies( T, Y ) ) ) ) )] ), substitution( 1, [
% 0.82/1.19 :=( X, implies( implies( implies( U, implies( W, V0 ) ), implies( V0, V1
% 0.82/1.19 ) ), implies( V2, implies( implies( V3, V0 ), implies( V0, V1 ) ) ) ) )
% 0.82/1.19 , :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=( U, T )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y, implies(
% 0.82/1.19 implies( Z, T ), implies( T, Y ) ) ) ) ) ] )
% 0.82/1.19 , clause( 1849, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y,
% 0.82/1.19 implies( implies( Z, T ), implies( T, Y ) ) ) ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.82/1.19 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1851, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.82/1.19 implies( Y, implies( implies( Z, T ), implies( T, Y ) ) ) ), U ) ) ),
% 0.82/1.19 'is_a_theorem'( U ) ] )
% 0.82/1.19 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.82/1.19 , ~( 'is_a_theorem'( X ) ) ] )
% 0.82/1.19 , 2, clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y,
% 0.82/1.19 implies( implies( Z, T ), implies( T, Y ) ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( Y,
% 0.82/1.19 implies( implies( Z, T ), implies( T, Y ) ) ) ) ), :=( Y, U )] ),
% 0.82/1.19 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 12, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 implies( X, Y ), implies( Y, implies( implies( Z, T ), implies( T, Y ) )
% 0.82/1.19 ) ), U ) ) ) ] )
% 0.82/1.19 , clause( 1851, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.82/1.19 implies( Y, implies( implies( Z, T ), implies( T, Y ) ) ) ), U ) ) ),
% 0.82/1.19 'is_a_theorem'( U ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.82/1.19 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1852, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 0.82/1.19 , implies( Y, Z ) ), T ), implies( U, implies( Z, T ) ) ) ) ] )
% 0.82/1.19 , clause( 12, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 implies( X, Y ), implies( Y, implies( implies( Z, T ), implies( T, Y ) )
% 0.82/1.19 ) ), U ) ) ) ] )
% 0.82/1.19 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.82/1.19 implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X )
% 0.82/1.19 ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, X ), :=( T, Y ),
% 0.82/1.19 :=( U, implies( implies( implies( implies( X, Y ), implies( Y, Z ) ), T )
% 0.82/1.19 , implies( U, implies( Z, T ) ) ) )] ), substitution( 1, [ :=( X, T ),
% 0.82/1.19 :=( Y, Z ), :=( Z, Z ), :=( T, implies( implies( X, Y ), implies( Y, Z )
% 0.82/1.19 ) ), :=( U, U )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 13, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.82/1.19 implies( Y, Z ) ), T ), implies( U, implies( Z, T ) ) ) ) ] )
% 0.82/1.19 , clause( 1852, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.82/1.19 ), implies( Y, Z ) ), T ), implies( U, implies( Z, T ) ) ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.82/1.19 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1853, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Y
% 0.82/1.19 , Z ), implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 0.82/1.19 , clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 implies( implies( X, Y ), implies( Z, T ) ), implies( implies( T, X ),
% 0.82/1.19 implies( U, implies( Z, X ) ) ) ), W ) ) ) ] )
% 0.82/1.19 , 1, clause( 13, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.82/1.19 ), implies( Y, Z ) ), T ), implies( U, implies( Z, T ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, Z ), :=( Y, U ), :=( Z, U ), :=( T, Y ),
% 0.82/1.19 :=( U, T ), :=( W, implies( X, implies( Y, implies( implies( Y, Z ),
% 0.82/1.19 implies( T, implies( U, Z ) ) ) ) ) )] ), substitution( 1, [ :=( X, Z ),
% 0.82/1.19 :=( Y, U ), :=( Z, Y ), :=( T, implies( implies( Y, Z ), implies( T,
% 0.82/1.19 implies( U, Z ) ) ) ), :=( U, X )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 15, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Y,
% 0.82/1.19 Z ), implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 0.82/1.19 , clause( 1853, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 0.82/1.19 Y, Z ), implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.82/1.19 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1855, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.82/1.19 implies( X, Y ), implies( Y, Z ) ), T ), implies( U, implies( Z, T ) ) )
% 0.82/1.19 , W ) ) ), 'is_a_theorem'( W ) ] )
% 0.82/1.19 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.82/1.19 , ~( 'is_a_theorem'( X ) ) ] )
% 0.82/1.19 , 2, clause( 13, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.82/1.19 ), implies( Y, Z ) ), T ), implies( U, implies( Z, T ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( X, Y ),
% 0.82/1.19 implies( Y, Z ) ), T ), implies( U, implies( Z, T ) ) ) ), :=( Y, W )] )
% 0.82/1.19 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=(
% 0.82/1.19 U, U )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 16, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 implies( implies( implies( X, Y ), implies( Y, Z ) ), T ), implies( U,
% 0.82/1.19 implies( Z, T ) ) ), W ) ) ) ] )
% 0.82/1.19 , clause( 1855, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.82/1.19 implies( X, Y ), implies( Y, Z ) ), T ), implies( U, implies( Z, T ) ) )
% 0.82/1.19 , W ) ) ), 'is_a_theorem'( W ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.82/1.19 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1857, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.82/1.19 implies( X, Y ), implies( Y, Z ) ), implies( T, implies( U, Y ) ) ),
% 0.82/1.19 implies( W, implies( V0, implies( T, implies( U, Y ) ) ) ) ), V1 ) ) ),
% 0.82/1.19 'is_a_theorem'( V1 ) ] )
% 0.82/1.19 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.82/1.19 , ~( 'is_a_theorem'( X ) ) ] )
% 0.82/1.19 , 2, clause( 7, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.82/1.19 ), implies( Y, Z ) ), implies( T, implies( U, Y ) ) ), implies( W,
% 0.82/1.19 implies( V0, implies( T, implies( U, Y ) ) ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( X, Y ),
% 0.82/1.19 implies( Y, Z ) ), implies( T, implies( U, Y ) ) ), implies( W, implies(
% 0.82/1.19 V0, implies( T, implies( U, Y ) ) ) ) ) ), :=( Y, V1 )] ), substitution(
% 0.82/1.19 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U, U ), :=( W, W
% 0.82/1.19 ), :=( V0, V0 )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 17, [ 'is_a_theorem'( V1 ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 implies( implies( implies( X, Y ), implies( Y, Z ) ), implies( T, implies(
% 0.82/1.19 U, Y ) ) ), implies( W, implies( V0, implies( T, implies( U, Y ) ) ) ) )
% 0.82/1.19 , V1 ) ) ) ] )
% 0.82/1.19 , clause( 1857, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.82/1.19 implies( X, Y ), implies( Y, Z ) ), implies( T, implies( U, Y ) ) ),
% 0.82/1.19 implies( W, implies( V0, implies( T, implies( U, Y ) ) ) ) ), V1 ) ) ),
% 0.82/1.19 'is_a_theorem'( V1 ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.82/1.19 , U ), :=( W, W ), :=( V0, V0 ), :=( V1, V1 )] ), permutation( 0, [ ==>(
% 0.82/1.19 0, 1 ), ==>( 1, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1858, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ),
% 0.82/1.19 implies( Z, implies( T, Y ) ) ) ) ) ] )
% 0.82/1.19 , clause( 12, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 implies( X, Y ), implies( Y, implies( implies( Z, T ), implies( T, Y ) )
% 0.82/1.19 ) ), U ) ) ) ] )
% 0.82/1.19 , 1, clause( 15, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 0.82/1.19 Y, Z ), implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, V0 ), :=( T, V1 ),
% 0.82/1.19 :=( U, implies( X, implies( implies( X, Y ), implies( Z, implies( T, Y )
% 0.82/1.19 ) ) ) )] ), substitution( 1, [ :=( X, implies( implies( U, W ), implies(
% 0.82/1.19 W, implies( implies( V0, V1 ), implies( V1, W ) ) ) ) ), :=( Y, X ), :=(
% 0.82/1.19 Z, Y ), :=( T, Z ), :=( U, T )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 18, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), implies(
% 0.82/1.19 Z, implies( T, Y ) ) ) ) ) ] )
% 0.82/1.19 , clause( 1858, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ),
% 0.82/1.19 implies( Z, implies( T, Y ) ) ) ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.82/1.19 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1860, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, implies(
% 0.82/1.19 implies( Y, Z ), implies( T, implies( U, Z ) ) ) ) ), W ) ) ),
% 0.82/1.19 'is_a_theorem'( W ) ] )
% 0.82/1.19 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.82/1.19 , ~( 'is_a_theorem'( X ) ) ] )
% 0.82/1.19 , 2, clause( 15, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 0.82/1.19 Y, Z ), implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( implies( Y
% 0.82/1.19 , Z ), implies( T, implies( U, Z ) ) ) ) ) ), :=( Y, W )] ),
% 0.82/1.19 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.82/1.19 , U )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 19, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies( X,
% 0.82/1.19 implies( Y, implies( implies( Y, Z ), implies( T, implies( U, Z ) ) ) ) )
% 0.82/1.19 , W ) ) ) ] )
% 0.82/1.19 , clause( 1860, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 0.82/1.19 implies( implies( Y, Z ), implies( T, implies( U, Z ) ) ) ) ), W ) ) ),
% 0.82/1.19 'is_a_theorem'( W ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.82/1.19 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1862, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies( X
% 0.82/1.19 , Y ), implies( Z, implies( T, Y ) ) ) ), U ) ) ), 'is_a_theorem'( U ) ]
% 0.82/1.19 )
% 0.82/1.19 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.82/1.19 , ~( 'is_a_theorem'( X ) ) ] )
% 0.82/1.19 , 2, clause( 18, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ),
% 0.82/1.19 implies( Z, implies( T, Y ) ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( X, Y ),
% 0.82/1.19 implies( Z, implies( T, Y ) ) ) ) ), :=( Y, U )] ), substitution( 1, [
% 0.82/1.19 :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 23, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X,
% 0.82/1.19 implies( implies( X, Y ), implies( Z, implies( T, Y ) ) ) ), U ) ) ) ] )
% 0.82/1.19 , clause( 1862, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 0.82/1.19 X, Y ), implies( Z, implies( T, Y ) ) ) ), U ) ) ), 'is_a_theorem'( U ) ]
% 0.82/1.19 )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.82/1.19 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1863, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 0.82/1.19 ) ), T ), implies( U, implies( implies( implies( T, W ), Z ), T ) ) ) )
% 0.82/1.19 ] )
% 0.82/1.19 , clause( 23, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X
% 0.82/1.19 , implies( implies( X, Y ), implies( Z, implies( T, Y ) ) ) ), U ) ) ) ]
% 0.82/1.19 )
% 0.82/1.19 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.82/1.19 implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X )
% 0.82/1.19 ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, implies( T, W ) ), :=( Y, Z ), :=( Z, X ),
% 0.82/1.19 :=( T, Y ), :=( U, implies( implies( implies( X, implies( Y, Z ) ), T ),
% 0.82/1.19 implies( U, implies( implies( implies( T, W ), Z ), T ) ) ) )] ),
% 0.82/1.19 substitution( 1, [ :=( X, T ), :=( Y, W ), :=( Z, implies( implies( T, W
% 0.82/1.19 ), Z ) ), :=( T, implies( X, implies( Y, Z ) ) ), :=( U, U )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 27, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z )
% 0.82/1.19 ), T ), implies( U, implies( implies( implies( T, W ), Z ), T ) ) ) ) ]
% 0.82/1.19 )
% 0.82/1.19 , clause( 1863, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 0.82/1.19 , Z ) ), T ), implies( U, implies( implies( implies( T, W ), Z ), T ) ) )
% 0.82/1.19 ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.82/1.19 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1865, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.82/1.19 implies( Y, Z ) ), T ), implies( U, implies( implies( implies( T, W ), Z
% 0.82/1.19 ), T ) ) ), V0 ) ) ), 'is_a_theorem'( V0 ) ] )
% 0.82/1.19 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.82/1.19 , ~( 'is_a_theorem'( X ) ) ] )
% 0.82/1.19 , 2, clause( 27, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 0.82/1.19 , Z ) ), T ), implies( U, implies( implies( implies( T, W ), Z ), T ) ) )
% 0.82/1.19 ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, implies( Y, Z
% 0.82/1.19 ) ), T ), implies( U, implies( implies( implies( T, W ), Z ), T ) ) ) )
% 0.82/1.19 , :=( Y, V0 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ),
% 0.82/1.19 :=( T, T ), :=( U, U ), :=( W, W )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 32, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 implies( implies( X, implies( Y, Z ) ), T ), implies( U, implies( implies(
% 0.82/1.19 implies( T, W ), Z ), T ) ) ), V0 ) ) ) ] )
% 0.82/1.19 , clause( 1865, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 0.82/1.19 , implies( Y, Z ) ), T ), implies( U, implies( implies( implies( T, W ),
% 0.82/1.19 Z ), T ) ) ), V0 ) ) ), 'is_a_theorem'( V0 ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.82/1.19 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1
% 0.82/1.19 , 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1866, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 0.82/1.19 , implies( Z, implies( T, Y ) ) ), U ), implies( W, implies( X, U ) ) ) )
% 0.82/1.19 ] )
% 0.82/1.19 , clause( 19, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies( X
% 0.82/1.19 , implies( Y, implies( implies( Y, Z ), implies( T, implies( U, Z ) ) ) )
% 0.82/1.19 ), W ) ) ) ] )
% 0.82/1.19 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.82/1.19 implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X )
% 0.82/1.19 ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, implies( U, V0 ) ), :=( Y, X ), :=( Z, Y ),
% 0.82/1.19 :=( T, Z ), :=( U, T ), :=( W, implies( implies( implies( implies( X, Y )
% 0.82/1.19 , implies( Z, implies( T, Y ) ) ), U ), implies( W, implies( X, U ) ) ) )] )
% 0.82/1.19 , substitution( 1, [ :=( X, U ), :=( Y, V0 ), :=( Z, X ), :=( T, implies(
% 0.82/1.19 implies( X, Y ), implies( Z, implies( T, Y ) ) ) ), :=( U, W )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 51, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.82/1.19 implies( Z, implies( T, Y ) ) ), U ), implies( W, implies( X, U ) ) ) ) ]
% 0.82/1.19 )
% 0.82/1.19 , clause( 1866, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.82/1.19 ), implies( Z, implies( T, Y ) ) ), U ), implies( W, implies( X, U ) ) )
% 0.82/1.19 ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.82/1.19 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1867, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.82/1.19 implies( T, U ), implies( U, implies( W, implies( V0, U ) ) ) ) ) ) ) ) ]
% 0.82/1.19 )
% 0.82/1.19 , clause( 5, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 implies( implies( X, implies( Y, Z ) ), implies( Z, T ) ), implies( U,
% 0.82/1.19 implies( implies( W, Z ), implies( Z, T ) ) ) ), V0 ) ) ) ] )
% 0.82/1.19 , 1, clause( 51, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.82/1.19 ), implies( Z, implies( T, Y ) ) ), U ), implies( W, implies( X, U ) ) )
% 0.82/1.19 ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, Y ), :=( Y, V0 ), :=( Z, U ), :=( T, implies(
% 0.82/1.19 W, implies( V0, U ) ) ), :=( U, Z ), :=( W, T ), :=( V0, implies( X,
% 0.82/1.19 implies( Y, implies( Z, implies( implies( T, U ), implies( U, implies( W
% 0.82/1.19 , implies( V0, U ) ) ) ) ) ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y
% 0.82/1.19 , implies( V0, U ) ), :=( Z, U ), :=( T, W ), :=( U, implies( Z, implies(
% 0.82/1.19 implies( T, U ), implies( U, implies( W, implies( V0, U ) ) ) ) ) ), :=(
% 0.82/1.19 W, X )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 59, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.82/1.19 implies( T, U ), implies( U, implies( W, implies( V0, U ) ) ) ) ) ) ) ) ]
% 0.82/1.19 )
% 0.82/1.19 , clause( 1867, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.82/1.19 implies( implies( T, U ), implies( U, implies( W, implies( V0, U ) ) ) )
% 0.82/1.19 ) ) ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.82/1.19 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 )] )
% 0.82/1.19 ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1869, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.82/1.19 implies( X, Y ), implies( Z, implies( T, Y ) ) ), U ), implies( W,
% 0.82/1.19 implies( X, U ) ) ), V0 ) ) ), 'is_a_theorem'( V0 ) ] )
% 0.82/1.19 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.82/1.19 , ~( 'is_a_theorem'( X ) ) ] )
% 0.82/1.19 , 2, clause( 51, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.82/1.19 ), implies( Z, implies( T, Y ) ) ), U ), implies( W, implies( X, U ) ) )
% 0.82/1.19 ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( X, Y ),
% 0.82/1.19 implies( Z, implies( T, Y ) ) ), U ), implies( W, implies( X, U ) ) ) ),
% 0.82/1.19 :=( Y, V0 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ),
% 0.82/1.19 :=( T, T ), :=( U, U ), :=( W, W )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 61, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 implies( implies( implies( X, Y ), implies( Z, implies( T, Y ) ) ), U ),
% 0.82/1.19 implies( W, implies( X, U ) ) ), V0 ) ) ) ] )
% 0.82/1.19 , clause( 1869, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.82/1.19 implies( X, Y ), implies( Z, implies( T, Y ) ) ), U ), implies( W,
% 0.82/1.19 implies( X, U ) ) ), V0 ) ) ), 'is_a_theorem'( V0 ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.82/1.19 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1
% 0.82/1.19 , 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1870, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Z
% 0.82/1.19 , T ), implies( T, implies( U, implies( W, T ) ) ) ) ) ) ) ] )
% 0.82/1.19 , clause( 19, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies( X
% 0.82/1.19 , implies( Y, implies( implies( Y, Z ), implies( T, implies( U, Z ) ) ) )
% 0.82/1.19 ), W ) ) ) ] )
% 0.82/1.19 , 1, clause( 59, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.82/1.19 implies( implies( T, U ), implies( U, implies( W, implies( V0, U ) ) ) )
% 0.82/1.19 ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, V0 ), :=( Y, V1 ), :=( Z, V2 ), :=( T, V3 )
% 0.82/1.19 , :=( U, V4 ), :=( W, implies( X, implies( Y, implies( implies( Z, T ),
% 0.82/1.19 implies( T, implies( U, implies( W, T ) ) ) ) ) ) )] ), substitution( 1
% 0.82/1.19 , [ :=( X, implies( V0, implies( V1, implies( implies( V1, V2 ), implies(
% 0.82/1.19 V3, implies( V4, V2 ) ) ) ) ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=(
% 0.82/1.19 U, T ), :=( W, U ), :=( V0, W )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 74, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Z,
% 0.82/1.19 T ), implies( T, implies( U, implies( W, T ) ) ) ) ) ) ) ] )
% 0.82/1.19 , clause( 1870, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 0.82/1.19 Z, T ), implies( T, implies( U, implies( W, T ) ) ) ) ) ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.82/1.19 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1871, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.82/1.19 implies( Z, implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 0.82/1.19 , clause( 19, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies( X
% 0.82/1.19 , implies( Y, implies( implies( Y, Z ), implies( T, implies( U, Z ) ) ) )
% 0.82/1.19 ), W ) ) ) ] )
% 0.82/1.19 , 1, clause( 74, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 0.82/1.19 Z, T ), implies( T, implies( U, implies( W, T ) ) ) ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, W ), :=( Y, V0 ), :=( Z, V1 ), :=( T, V2 ),
% 0.82/1.19 :=( U, V3 ), :=( W, implies( X, implies( implies( Y, Z ), implies( Z,
% 0.82/1.19 implies( T, implies( U, Z ) ) ) ) ) )] ), substitution( 1, [ :=( X,
% 0.82/1.19 implies( W, implies( V0, implies( implies( V0, V1 ), implies( V2, implies(
% 0.82/1.19 V3, V1 ) ) ) ) ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=( U, T ), :=( W
% 0.82/1.19 , U )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 76, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ), implies(
% 0.82/1.19 Z, implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 0.82/1.19 , clause( 1871, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.82/1.19 implies( Z, implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.82/1.19 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1872, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y,
% 0.82/1.19 implies( Z, implies( T, Y ) ) ) ) ) ] )
% 0.82/1.19 , clause( 19, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies( X
% 0.82/1.19 , implies( Y, implies( implies( Y, Z ), implies( T, implies( U, Z ) ) ) )
% 0.82/1.19 ), W ) ) ) ] )
% 0.82/1.19 , 1, clause( 76, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.82/1.19 implies( Z, implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, V0 ), :=( T, V1 ),
% 0.82/1.19 :=( U, V2 ), :=( W, implies( implies( X, Y ), implies( Y, implies( Z,
% 0.82/1.19 implies( T, Y ) ) ) ) )] ), substitution( 1, [ :=( X, implies( U, implies(
% 0.82/1.19 W, implies( implies( W, V0 ), implies( V1, implies( V2, V0 ) ) ) ) ) ),
% 0.82/1.19 :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=( U, T )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 78, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y, implies(
% 0.82/1.19 Z, implies( T, Y ) ) ) ) ) ] )
% 0.82/1.19 , clause( 1872, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y,
% 0.82/1.19 implies( Z, implies( T, Y ) ) ) ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.82/1.19 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1874, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.82/1.19 implies( Y, implies( Z, implies( T, Y ) ) ) ), U ) ) ), 'is_a_theorem'( U
% 0.82/1.19 ) ] )
% 0.82/1.19 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.82/1.19 , ~( 'is_a_theorem'( X ) ) ] )
% 0.82/1.19 , 2, clause( 78, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y,
% 0.82/1.19 implies( Z, implies( T, Y ) ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( Y,
% 0.82/1.19 implies( Z, implies( T, Y ) ) ) ) ), :=( Y, U )] ), substitution( 1, [
% 0.82/1.19 :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 84, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 implies( X, Y ), implies( Y, implies( Z, implies( T, Y ) ) ) ), U ) ) ) ]
% 0.82/1.19 )
% 0.82/1.19 , clause( 1874, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.82/1.19 implies( Y, implies( Z, implies( T, Y ) ) ) ), U ) ) ), 'is_a_theorem'( U
% 0.82/1.19 ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.82/1.19 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1875, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.82/1.19 implies( T, implies( U, implies( X, implies( Y, Z ) ) ) ) ) ) ] )
% 0.82/1.19 , clause( 16, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 implies( implies( implies( X, Y ), implies( Y, Z ) ), T ), implies( U,
% 0.82/1.19 implies( Z, T ) ) ), W ) ) ) ] )
% 0.82/1.19 , 1, clause( 78, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y,
% 0.82/1.19 implies( Z, implies( T, Y ) ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, W ), :=( Y, V0 ), :=( Z, Y ), :=( T, Z ),
% 0.82/1.19 :=( U, X ), :=( W, implies( implies( X, implies( Y, Z ) ), implies( T,
% 0.82/1.19 implies( U, implies( X, implies( Y, Z ) ) ) ) ) )] ), substitution( 1, [
% 0.82/1.19 :=( X, implies( implies( implies( W, V0 ), implies( V0, Y ) ), Z ) ),
% 0.82/1.19 :=( Y, implies( X, implies( Y, Z ) ) ), :=( Z, T ), :=( T, U )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 85, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.82/1.19 implies( T, implies( U, implies( X, implies( Y, Z ) ) ) ) ) ) ] )
% 0.82/1.19 , clause( 1875, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.82/1.19 implies( T, implies( U, implies( X, implies( Y, Z ) ) ) ) ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.82/1.19 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1876, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 0.82/1.19 ) ), T ), implies( U, implies( Z, T ) ) ) ) ] )
% 0.82/1.19 , clause( 84, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 implies( X, Y ), implies( Y, implies( Z, implies( T, Y ) ) ) ), U ) ) ) ]
% 0.82/1.19 )
% 0.82/1.19 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.82/1.19 implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X )
% 0.82/1.19 ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, X ), :=( T, Y ),
% 0.82/1.19 :=( U, implies( implies( implies( X, implies( Y, Z ) ), T ), implies( U,
% 0.82/1.19 implies( Z, T ) ) ) )] ), substitution( 1, [ :=( X, T ), :=( Y, Z ), :=(
% 0.82/1.19 Z, Z ), :=( T, implies( X, implies( Y, Z ) ) ), :=( U, U )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 111, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 0.82/1.19 ) ), T ), implies( U, implies( Z, T ) ) ) ) ] )
% 0.82/1.19 , clause( 1876, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 0.82/1.19 , Z ) ), T ), implies( U, implies( Z, T ) ) ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.82/1.19 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1877, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.82/1.19 T, implies( U, Y ) ) ) ) ) ) ] )
% 0.82/1.19 , clause( 16, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 implies( implies( implies( X, Y ), implies( Y, Z ) ), T ), implies( U,
% 0.82/1.19 implies( Z, T ) ) ), W ) ) ) ] )
% 0.82/1.19 , 1, clause( 111, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.82/1.19 Y, Z ) ), T ), implies( U, implies( Z, T ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, W ), :=( Y, V0 ), :=( Z, T ), :=( T, implies(
% 0.82/1.19 U, Y ) ), :=( U, Z ), :=( W, implies( X, implies( Y, implies( Z, implies(
% 0.82/1.19 T, implies( U, Y ) ) ) ) ) )] ), substitution( 1, [ :=( X, implies(
% 0.82/1.19 implies( W, V0 ), implies( V0, T ) ) ), :=( Y, U ), :=( Z, Y ), :=( T,
% 0.82/1.19 implies( Z, implies( T, implies( U, Y ) ) ) ), :=( U, X )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 119, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.82/1.19 T, implies( U, Y ) ) ) ) ) ) ] )
% 0.82/1.19 , clause( 1877, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.82/1.19 implies( T, implies( U, Y ) ) ) ) ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.82/1.19 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1879, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.82/1.19 implies( Y, Z ) ), T ), implies( U, implies( Z, T ) ) ), W ) ) ),
% 0.82/1.19 'is_a_theorem'( W ) ] )
% 0.82/1.19 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.82/1.19 , ~( 'is_a_theorem'( X ) ) ] )
% 0.82/1.19 , 2, clause( 111, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.82/1.19 Y, Z ) ), T ), implies( U, implies( Z, T ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, implies( Y, Z
% 0.82/1.19 ) ), T ), implies( U, implies( Z, T ) ) ) ), :=( Y, W )] ),
% 0.82/1.19 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.82/1.19 , U )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 121, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 implies( implies( X, implies( Y, Z ) ), T ), implies( U, implies( Z, T )
% 0.82/1.19 ) ), W ) ) ) ] )
% 0.82/1.19 , clause( 1879, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 0.82/1.19 , implies( Y, Z ) ), T ), implies( U, implies( Z, T ) ) ), W ) ) ),
% 0.82/1.19 'is_a_theorem'( W ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.82/1.19 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1880, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.82/1.19 T, X ) ) ) ) ) ] )
% 0.82/1.19 , clause( 17, [ 'is_a_theorem'( V1 ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 implies( implies( implies( X, Y ), implies( Y, Z ) ), implies( T, implies(
% 0.82/1.19 U, Y ) ) ), implies( W, implies( V0, implies( T, implies( U, Y ) ) ) ) )
% 0.82/1.19 , V1 ) ) ) ] )
% 0.82/1.19 , 1, clause( 119, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.82/1.19 implies( T, implies( U, Y ) ) ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, V0 ), :=( T, V1 ),
% 0.82/1.19 :=( U, V2 ), :=( W, V3 ), :=( V0, V4 ), :=( V1, implies( X, implies( Y,
% 0.82/1.19 implies( Z, implies( T, X ) ) ) ) )] ), substitution( 1, [ :=( X, implies(
% 0.82/1.19 implies( implies( implies( U, W ), implies( W, V0 ) ), implies( V1,
% 0.82/1.19 implies( V2, W ) ) ), implies( V3, implies( V4, implies( V1, implies( V2
% 0.82/1.19 , W ) ) ) ) ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=( U, T )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 122, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.82/1.19 T, X ) ) ) ) ) ] )
% 0.82/1.19 , clause( 1880, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.82/1.19 implies( T, X ) ) ) ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.82/1.19 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1882, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, implies(
% 0.82/1.19 Z, implies( T, X ) ) ) ), U ) ) ), 'is_a_theorem'( U ) ] )
% 0.82/1.19 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.82/1.19 , ~( 'is_a_theorem'( X ) ) ] )
% 0.82/1.19 , 2, clause( 122, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.82/1.19 implies( T, X ) ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( Z, implies(
% 0.82/1.19 T, X ) ) ) ) ), :=( Y, U )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )
% 0.82/1.19 , :=( Z, Z ), :=( T, T )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 130, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X
% 0.82/1.19 , implies( Y, implies( Z, implies( T, X ) ) ) ), U ) ) ) ] )
% 0.82/1.19 , clause( 1882, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 0.82/1.19 implies( Z, implies( T, X ) ) ) ), U ) ) ), 'is_a_theorem'( U ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.82/1.19 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1883, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.82/1.19 T, implies( U, implies( W, implies( V0, Y ) ) ) ) ) ) ) ) ] )
% 0.82/1.19 , clause( 130, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 X, implies( Y, implies( Z, implies( T, X ) ) ) ), U ) ) ) ] )
% 0.82/1.19 , 1, clause( 111, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.82/1.19 Y, Z ) ), T ), implies( U, implies( Z, T ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, implies( W, implies( V0, Y ) ) ), :=( Y, Z )
% 0.82/1.19 , :=( Z, T ), :=( T, U ), :=( U, implies( X, implies( Y, implies( Z,
% 0.82/1.19 implies( T, implies( U, implies( W, implies( V0, Y ) ) ) ) ) ) ) )] ),
% 0.82/1.19 substitution( 1, [ :=( X, W ), :=( Y, V0 ), :=( Z, Y ), :=( T, implies( Z
% 0.82/1.19 , implies( T, implies( U, implies( W, implies( V0, Y ) ) ) ) ) ), :=( U,
% 0.82/1.19 X )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 132, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.82/1.19 T, implies( U, implies( W, implies( V0, Y ) ) ) ) ) ) ) ) ] )
% 0.82/1.19 , clause( 1883, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.82/1.19 implies( T, implies( U, implies( W, implies( V0, Y ) ) ) ) ) ) ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.82/1.19 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 )] )
% 0.82/1.19 ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1884, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.82/1.19 T, implies( U, implies( W, Z ) ) ) ) ) ) ) ] )
% 0.82/1.19 , clause( 130, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 X, implies( Y, implies( Z, implies( T, X ) ) ) ), U ) ) ) ] )
% 0.82/1.19 , 1, clause( 85, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.82/1.19 implies( T, implies( U, implies( X, implies( Y, Z ) ) ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, W ),
% 0.82/1.19 :=( U, implies( X, implies( Y, implies( Z, implies( T, implies( U,
% 0.82/1.19 implies( W, Z ) ) ) ) ) ) )] ), substitution( 1, [ :=( X, Z ), :=( Y, T )
% 0.82/1.19 , :=( Z, implies( U, implies( W, Z ) ) ), :=( T, X ), :=( U, Y )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 133, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.82/1.19 T, implies( U, implies( W, Z ) ) ) ) ) ) ) ] )
% 0.82/1.19 , clause( 1884, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.82/1.19 implies( T, implies( U, implies( W, Z ) ) ) ) ) ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.82/1.19 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1886, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, implies(
% 0.82/1.19 Z, implies( T, implies( U, implies( W, Z ) ) ) ) ) ), V0 ) ) ),
% 0.82/1.19 'is_a_theorem'( V0 ) ] )
% 0.82/1.19 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.82/1.19 , ~( 'is_a_theorem'( X ) ) ] )
% 0.82/1.19 , 2, clause( 133, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.82/1.19 implies( T, implies( U, implies( W, Z ) ) ) ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( Z, implies(
% 0.82/1.19 T, implies( U, implies( W, Z ) ) ) ) ) ) ), :=( Y, V0 )] ),
% 0.82/1.19 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.82/1.19 , U ), :=( W, W )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 139, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies( X
% 0.82/1.19 , implies( Y, implies( Z, implies( T, implies( U, implies( W, Z ) ) ) ) )
% 0.82/1.19 ), V0 ) ) ) ] )
% 0.82/1.19 , clause( 1886, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 0.82/1.19 implies( Z, implies( T, implies( U, implies( W, Z ) ) ) ) ) ), V0 ) ) ),
% 0.82/1.19 'is_a_theorem'( V0 ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.82/1.19 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1
% 0.82/1.19 , 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1888, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, implies(
% 0.82/1.19 Z, implies( T, implies( U, implies( W, implies( V0, Y ) ) ) ) ) ) ), V1 )
% 0.82/1.19 ) ), 'is_a_theorem'( V1 ) ] )
% 0.82/1.19 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.82/1.19 , ~( 'is_a_theorem'( X ) ) ] )
% 0.82/1.19 , 2, clause( 132, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.82/1.19 implies( T, implies( U, implies( W, implies( V0, Y ) ) ) ) ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( Z, implies(
% 0.82/1.19 T, implies( U, implies( W, implies( V0, Y ) ) ) ) ) ) ) ), :=( Y, V1 )] )
% 0.82/1.19 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=(
% 0.82/1.19 U, U ), :=( W, W ), :=( V0, V0 )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 149, [ 'is_a_theorem'( V1 ), ~( 'is_a_theorem'( implies( implies( X
% 0.82/1.19 , implies( Y, implies( Z, implies( T, implies( U, implies( W, implies( V0
% 0.82/1.19 , Y ) ) ) ) ) ) ), V1 ) ) ) ] )
% 0.82/1.19 , clause( 1888, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 0.82/1.19 implies( Z, implies( T, implies( U, implies( W, implies( V0, Y ) ) ) ) )
% 0.82/1.19 ) ), V1 ) ) ), 'is_a_theorem'( V1 ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.82/1.19 , U ), :=( W, W ), :=( V0, V0 ), :=( V1, V1 )] ), permutation( 0, [ ==>(
% 0.82/1.19 0, 1 ), ==>( 1, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1889, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 0.82/1.19 Z, implies( T, X ) ) ), implies( U, implies( W, implies( Z, implies( T, X
% 0.82/1.19 ) ) ) ) ) ) ] )
% 0.82/1.19 , clause( 121, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 implies( implies( X, implies( Y, Z ) ), T ), implies( U, implies( Z, T )
% 0.82/1.19 ) ), W ) ) ) ] )
% 0.82/1.19 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.82/1.19 implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X )
% 0.82/1.19 ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, X ), :=( T, Y ),
% 0.82/1.19 :=( U, W ), :=( W, implies( implies( implies( X, Y ), implies( Z, implies(
% 0.82/1.19 T, X ) ) ), implies( U, implies( W, implies( Z, implies( T, X ) ) ) ) ) )] )
% 0.82/1.19 , substitution( 1, [ :=( X, implies( Z, implies( T, X ) ) ), :=( Y, Y ),
% 0.82/1.19 :=( Z, W ), :=( T, implies( X, Y ) ), :=( U, U )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 270, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 0.82/1.19 Z, implies( T, X ) ) ), implies( U, implies( W, implies( Z, implies( T, X
% 0.82/1.19 ) ) ) ) ) ) ] )
% 0.82/1.19 , clause( 1889, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.82/1.19 implies( Z, implies( T, X ) ) ), implies( U, implies( W, implies( Z,
% 0.82/1.19 implies( T, X ) ) ) ) ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.82/1.19 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1890, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.82/1.19 T, implies( U, Z ) ) ) ) ) ) ] )
% 0.82/1.19 , clause( 84, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 implies( X, Y ), implies( Y, implies( Z, implies( T, Y ) ) ) ), U ) ) ) ]
% 0.82/1.19 )
% 0.82/1.19 , 1, clause( 270, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.82/1.19 implies( Z, implies( T, X ) ) ), implies( U, implies( W, implies( Z,
% 0.82/1.19 implies( T, X ) ) ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, implies( U, Z ) ), :=( Y, Z ), :=( Z, T ),
% 0.82/1.19 :=( T, U ), :=( U, implies( X, implies( Y, implies( Z, implies( T,
% 0.82/1.19 implies( U, Z ) ) ) ) ) )] ), substitution( 1, [ :=( X, implies( U, Z ) )
% 0.82/1.19 , :=( Y, Z ), :=( Z, Z ), :=( T, T ), :=( U, X ), :=( W, Y )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 327, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.82/1.19 T, implies( U, Z ) ) ) ) ) ) ] )
% 0.82/1.19 , clause( 1890, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.82/1.19 implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.82/1.19 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1891, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Z
% 0.82/1.19 , T ), implies( U, implies( T, T ) ) ) ) ) ) ] )
% 0.82/1.19 , clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 implies( implies( X, Y ), implies( Z, T ) ), implies( implies( T, X ),
% 0.82/1.19 implies( U, implies( Z, X ) ) ) ), W ) ) ) ] )
% 0.82/1.19 , 1, clause( 270, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.82/1.19 implies( Z, implies( T, X ) ) ), implies( U, implies( W, implies( Z,
% 0.82/1.19 implies( T, X ) ) ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, T ), :=( Y, T ), :=( Z, T ), :=( T, Z ),
% 0.82/1.19 :=( U, U ), :=( W, implies( X, implies( Y, implies( implies( Z, T ),
% 0.82/1.19 implies( U, implies( T, T ) ) ) ) ) )] ), substitution( 1, [ :=( X,
% 0.82/1.19 implies( T, T ) ), :=( Y, implies( T, Z ) ), :=( Z, implies( Z, T ) ),
% 0.82/1.19 :=( T, U ), :=( U, X ), :=( W, Y )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 330, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Z
% 0.82/1.19 , T ), implies( U, implies( T, T ) ) ) ) ) ) ] )
% 0.82/1.19 , clause( 1891, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 0.82/1.19 Z, T ), implies( U, implies( T, T ) ) ) ) ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.82/1.19 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1892, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.82/1.19 T, Y ) ) ) ) ) ] )
% 0.82/1.19 , clause( 139, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 X, implies( Y, implies( Z, implies( T, implies( U, implies( W, Z ) ) ) )
% 0.82/1.19 ) ), V0 ) ) ) ] )
% 0.82/1.19 , 1, clause( 327, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.82/1.19 implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, V0 ), :=( T, V1 ),
% 0.82/1.19 :=( U, V2 ), :=( W, V3 ), :=( V0, implies( X, implies( Y, implies( Z,
% 0.82/1.19 implies( T, Y ) ) ) ) )] ), substitution( 1, [ :=( X, implies( U, implies(
% 0.82/1.19 W, implies( V0, implies( V1, implies( V2, implies( V3, V0 ) ) ) ) ) ) ),
% 0.82/1.19 :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=( U, T )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 332, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.82/1.19 T, Y ) ) ) ) ) ] )
% 0.82/1.19 , clause( 1892, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.82/1.19 implies( T, Y ) ) ) ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.82/1.19 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1893, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, X ) ) )
% 0.82/1.19 ) ] )
% 0.82/1.19 , clause( 139, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 X, implies( Y, implies( Z, implies( T, implies( U, implies( W, Z ) ) ) )
% 0.82/1.19 ) ), V0 ) ) ) ] )
% 0.82/1.19 , 1, clause( 332, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.82/1.19 implies( T, Y ) ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, W ), :=( T, V0 ),
% 0.82/1.19 :=( U, V1 ), :=( W, V2 ), :=( V0, implies( X, implies( Y, implies( Z, X )
% 0.82/1.19 ) ) )] ), substitution( 1, [ :=( X, implies( T, implies( U, implies( W,
% 0.82/1.19 implies( V0, implies( V1, implies( V2, W ) ) ) ) ) ) ), :=( Y, X ), :=( Z
% 0.82/1.19 , Y ), :=( T, Z )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 334, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, X ) ) )
% 0.82/1.19 ) ] )
% 0.82/1.19 , clause( 1893, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, X ) )
% 0.82/1.19 ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.82/1.19 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1895, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, implies(
% 0.82/1.19 Z, X ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.82/1.19 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.82/1.19 , ~( 'is_a_theorem'( X ) ) ] )
% 0.82/1.19 , 2, clause( 334, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, X )
% 0.82/1.19 ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( Z, X ) ) )
% 0.82/1.19 ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 0.82/1.19 ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 336, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.82/1.19 , implies( Y, implies( Z, X ) ) ), T ) ) ) ] )
% 0.82/1.19 , clause( 1895, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 0.82/1.19 implies( Z, X ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.82/1.19 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1896, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.82/1.19 implies( T, implies( Z, Z ) ) ) ) ) ] )
% 0.82/1.19 , clause( 336, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 X, implies( Y, implies( Z, X ) ) ), T ) ) ) ] )
% 0.82/1.19 , 1, clause( 330, [ 'is_a_theorem'( implies( X, implies( Y, implies(
% 0.82/1.19 implies( Z, T ), implies( U, implies( T, T ) ) ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, V0 ), :=( T, implies(
% 0.82/1.19 X, implies( implies( Y, Z ), implies( T, implies( Z, Z ) ) ) ) )] ),
% 0.82/1.19 substitution( 1, [ :=( X, implies( U, implies( W, implies( V0, U ) ) ) )
% 0.82/1.19 , :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=( U, T )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 348, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.82/1.19 implies( T, implies( Z, Z ) ) ) ) ) ] )
% 0.82/1.19 , clause( 1896, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.82/1.19 implies( T, implies( Z, Z ) ) ) ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.82/1.19 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1897, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.82/1.19 implies( Y, Y ) ) ) ) ] )
% 0.82/1.19 , clause( 336, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 X, implies( Y, implies( Z, X ) ) ), T ) ) ) ] )
% 0.82/1.19 , 1, clause( 348, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.82/1.19 implies( T, implies( Z, Z ) ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, W ), :=( T, implies(
% 0.82/1.19 implies( X, Y ), implies( Z, implies( Y, Y ) ) ) )] ), substitution( 1, [
% 0.82/1.19 :=( X, implies( T, implies( U, implies( W, T ) ) ) ), :=( Y, X ), :=( Z
% 0.82/1.19 , Y ), :=( T, Z )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 350, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.82/1.19 implies( Y, Y ) ) ) ) ] )
% 0.82/1.19 , clause( 1897, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.82/1.19 implies( Y, Y ) ) ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.82/1.19 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1899, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.82/1.19 implies( Z, implies( Y, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.82/1.19 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.82/1.19 , ~( 'is_a_theorem'( X ) ) ] )
% 0.82/1.19 , 2, clause( 350, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.82/1.19 implies( Y, Y ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( Z,
% 0.82/1.19 implies( Y, Y ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=(
% 0.82/1.19 Y, Y ), :=( Z, Z )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 353, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 implies( X, Y ), implies( Z, implies( Y, Y ) ) ), T ) ) ) ] )
% 0.82/1.19 , clause( 1899, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.82/1.19 implies( Z, implies( Y, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.82/1.19 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1900, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.82/1.19 T, T ) ) ) ) ) ] )
% 0.82/1.19 , clause( 353, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 implies( X, Y ), implies( Z, implies( Y, Y ) ) ), T ) ) ) ] )
% 0.82/1.19 , 1, clause( 270, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.82/1.19 implies( Z, implies( T, X ) ) ), implies( U, implies( W, implies( Z,
% 0.82/1.19 implies( T, X ) ) ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, T ), :=( Y, T ), :=( Z, Z ), :=( T, implies(
% 0.82/1.19 X, implies( Y, implies( Z, implies( T, T ) ) ) ) )] ), substitution( 1, [
% 0.82/1.19 :=( X, T ), :=( Y, T ), :=( Z, Z ), :=( T, T ), :=( U, X ), :=( W, Y )] )
% 0.82/1.19 ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 358, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.82/1.19 T, T ) ) ) ) ) ] )
% 0.82/1.19 , clause( 1900, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.82/1.19 implies( T, T ) ) ) ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.82/1.19 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1901, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Z ) ) )
% 0.82/1.19 ) ] )
% 0.82/1.19 , clause( 353, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 implies( X, Y ), implies( Z, implies( Y, Y ) ) ), T ) ) ) ] )
% 0.82/1.19 , 1, clause( 358, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.82/1.19 implies( T, T ) ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, W ), :=( T, implies(
% 0.82/1.19 X, implies( Y, implies( Z, Z ) ) ) )] ), substitution( 1, [ :=( X,
% 0.82/1.19 implies( implies( T, U ), implies( W, implies( U, U ) ) ) ), :=( Y, X ),
% 0.82/1.19 :=( Z, Y ), :=( T, Z )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 367, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Z ) ) )
% 0.82/1.19 ) ] )
% 0.82/1.19 , clause( 1901, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Z ) )
% 0.82/1.19 ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.82/1.19 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1902, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.82/1.19 , clause( 353, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 implies( X, Y ), implies( Z, implies( Y, Y ) ) ), T ) ) ) ] )
% 0.82/1.19 , 1, clause( 367, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Z )
% 0.82/1.19 ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, implies(
% 0.82/1.19 X, implies( Y, Y ) ) )] ), substitution( 1, [ :=( X, implies( implies( Z
% 0.82/1.19 , T ), implies( U, implies( T, T ) ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 369, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.82/1.19 , clause( 1902, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.82/1.19 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1904, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, implies(
% 0.82/1.19 Z, Z ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.82/1.19 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.82/1.19 , ~( 'is_a_theorem'( X ) ) ] )
% 0.82/1.19 , 2, clause( 367, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Z )
% 0.82/1.19 ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( Z, Z ) ) )
% 0.82/1.19 ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 0.82/1.19 ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 370, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.82/1.19 , implies( Y, implies( Z, Z ) ) ), T ) ) ) ] )
% 0.82/1.19 , clause( 1904, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 0.82/1.19 implies( Z, Z ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.82/1.19 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1905, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.82/1.19 , clause( 353, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 implies( X, Y ), implies( Z, implies( Y, Y ) ) ), T ) ) ) ] )
% 0.82/1.19 , 1, clause( 369, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 0.82/1.19 X, X ) )] ), substitution( 1, [ :=( X, implies( implies( Y, Z ), implies(
% 0.82/1.19 T, implies( Z, Z ) ) ) ), :=( Y, X )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 371, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.82/1.19 , clause( 1905, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1907, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 0.82/1.19 'is_a_theorem'( Y ) ] )
% 0.82/1.19 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.82/1.19 , ~( 'is_a_theorem'( X ) ) ] )
% 0.82/1.19 , 2, clause( 371, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, implies( X, X ) ), :=( Y, Y )] ),
% 0.82/1.19 substitution( 1, [ :=( X, X )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 373, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X
% 0.82/1.19 , X ), Y ) ) ) ] )
% 0.82/1.19 , clause( 1907, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 0.82/1.19 'is_a_theorem'( Y ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.82/1.19 ), ==>( 1, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1908, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.82/1.19 T, Z ) ) ) ) ) ] )
% 0.82/1.19 , clause( 373, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 X, X ), Y ) ) ) ] )
% 0.82/1.19 , 1, clause( 270, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.82/1.19 implies( Z, implies( T, X ) ) ), implies( U, implies( W, implies( Z,
% 0.82/1.19 implies( T, X ) ) ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, implies( Z, implies( T, Z ) ) ), :=( Y,
% 0.82/1.19 implies( X, implies( Y, implies( Z, implies( T, Z ) ) ) ) )] ),
% 0.82/1.19 substitution( 1, [ :=( X, Z ), :=( Y, implies( T, Z ) ), :=( Z, Z ), :=(
% 0.82/1.19 T, T ), :=( U, X ), :=( W, Y )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 374, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.82/1.19 T, Z ) ) ) ) ) ] )
% 0.82/1.19 , clause( 1908, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.82/1.19 implies( T, Z ) ) ) ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.82/1.19 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1909, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) ) )
% 0.82/1.19 ) ] )
% 0.82/1.19 , clause( 373, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 X, X ), Y ) ) ) ] )
% 0.82/1.19 , 1, clause( 374, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.82/1.19 implies( T, Z ) ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, T ), :=( Y, implies( X, implies( Y, implies(
% 0.82/1.19 Z, Y ) ) ) )] ), substitution( 1, [ :=( X, implies( T, T ) ), :=( Y, X )
% 0.82/1.19 , :=( Z, Y ), :=( T, Z )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 381, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) ) )
% 0.82/1.19 ) ] )
% 0.82/1.19 , clause( 1909, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) )
% 0.82/1.19 ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.82/1.19 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1910, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.82/1.19 , clause( 373, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 X, X ), Y ) ) ) ] )
% 0.82/1.19 , 1, clause( 381, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y )
% 0.82/1.19 ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, Z ), :=( Y, implies( X, implies( Y, X ) ) )] )
% 0.82/1.19 , substitution( 1, [ :=( X, implies( Z, Z ) ), :=( Y, X ), :=( Z, Y )] )
% 0.82/1.19 ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 383, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.82/1.19 , clause( 1910, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.82/1.19 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1912, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, implies(
% 0.82/1.19 Z, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.82/1.19 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.82/1.19 , ~( 'is_a_theorem'( X ) ) ] )
% 0.82/1.19 , 2, clause( 381, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y )
% 0.82/1.19 ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( Z, Y ) ) )
% 0.82/1.19 ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 0.82/1.19 ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 384, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.82/1.19 , implies( Y, implies( Z, Y ) ) ), T ) ) ) ] )
% 0.82/1.19 , clause( 1912, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 0.82/1.19 implies( Z, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.82/1.19 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1914, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X ) ),
% 0.82/1.19 Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.82/1.19 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.82/1.19 , ~( 'is_a_theorem'( X ) ) ] )
% 0.82/1.19 , 2, clause( 383, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, X ) ) ), :=( Y, Z )] )
% 0.82/1.19 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 389, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.82/1.19 , implies( Y, X ) ), Z ) ) ) ] )
% 0.82/1.19 , clause( 1914, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X ) )
% 0.82/1.19 , Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.82/1.19 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1915, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.82/1.19 implies( Z, implies( T, X ) ) ) ) ] )
% 0.82/1.19 , clause( 389, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 X, implies( Y, X ) ), Z ) ) ) ] )
% 0.82/1.19 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.82/1.19 implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X )
% 0.82/1.19 ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, implies( X, Y ) ), :=( Y, T ), :=( Z,
% 0.82/1.19 implies( implies( implies( X, Y ), X ), implies( Z, implies( T, X ) ) ) )] )
% 0.82/1.19 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, implies(
% 0.82/1.19 X, Y ) ), :=( U, Z )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 398, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.82/1.19 implies( Z, implies( T, X ) ) ) ) ] )
% 0.82/1.19 , clause( 1915, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.82/1.19 implies( Z, implies( T, X ) ) ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.82/1.19 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1916, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.82/1.19 implies( implies( T, U ), T ), T ) ) ) ) ) ] )
% 0.82/1.19 , clause( 32, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 implies( implies( X, implies( Y, Z ) ), T ), implies( U, implies( implies(
% 0.82/1.19 implies( T, W ), Z ), T ) ) ), V0 ) ) ) ] )
% 0.82/1.19 , 1, clause( 398, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X )
% 0.82/1.19 , implies( Z, implies( T, X ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, Z ), :=( Y, implies( implies( T, U ), T ) )
% 0.82/1.19 , :=( Z, T ), :=( T, T ), :=( U, Z ), :=( W, U ), :=( V0, implies( X,
% 0.82/1.19 implies( Y, implies( Z, implies( implies( implies( T, U ), T ), T ) ) ) )
% 0.82/1.19 )] ), substitution( 1, [ :=( X, implies( Z, implies( implies( implies( T
% 0.82/1.19 , U ), T ), T ) ) ), :=( Y, T ), :=( Z, X ), :=( T, Y )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 401, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.82/1.19 implies( implies( T, U ), T ), T ) ) ) ) ) ] )
% 0.82/1.19 , clause( 1916, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.82/1.19 implies( implies( implies( T, U ), T ), T ) ) ) ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.82/1.19 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1917, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.82/1.19 implies( T, implies( Y, Z ) ) ) ) ] )
% 0.82/1.19 , clause( 384, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 X, implies( Y, implies( Z, Y ) ) ), T ) ) ) ] )
% 0.82/1.19 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.82/1.19 implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X )
% 0.82/1.19 ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, implies( Z, U ) ), :=( Y, Y ), :=( Z, X ),
% 0.82/1.19 :=( T, implies( implies( implies( X, Y ), Z ), implies( T, implies( Y, Z
% 0.82/1.19 ) ) ) )] ), substitution( 1, [ :=( X, Z ), :=( Y, U ), :=( Z, Y ), :=( T
% 0.82/1.19 , implies( X, Y ) ), :=( U, T )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 410, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.82/1.19 implies( T, implies( Y, Z ) ) ) ) ] )
% 0.82/1.19 , clause( 1917, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.82/1.19 implies( T, implies( Y, Z ) ) ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.82/1.19 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1918, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.82/1.19 implies( implies( Z, T ), implies( U, implies( Y, T ) ) ) ) ) ) ] )
% 0.82/1.19 , clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 implies( implies( X, Y ), implies( Z, T ) ), implies( implies( T, X ),
% 0.82/1.19 implies( U, implies( Z, X ) ) ) ), W ) ) ) ] )
% 0.82/1.19 , 1, clause( 410, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 0.82/1.19 , implies( T, implies( Y, Z ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, T ), :=( Y, W ), :=( Z, Y ), :=( T, Z ),
% 0.82/1.19 :=( U, U ), :=( W, implies( X, implies( implies( Y, Z ), implies( implies(
% 0.82/1.19 Z, T ), implies( U, implies( Y, T ) ) ) ) ) )] ), substitution( 1, [ :=(
% 0.82/1.19 X, implies( T, W ) ), :=( Y, implies( Y, Z ) ), :=( Z, implies( implies(
% 0.82/1.19 Z, T ), implies( U, implies( Y, T ) ) ) ), :=( T, X )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 411, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.82/1.19 implies( implies( Z, T ), implies( U, implies( Y, T ) ) ) ) ) ) ] )
% 0.82/1.19 , clause( 1918, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.82/1.19 implies( implies( Z, T ), implies( U, implies( Y, T ) ) ) ) ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.82/1.19 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1920, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.82/1.19 ), Z ), implies( T, implies( Y, Z ) ) ), U ) ) ), 'is_a_theorem'( U ) ]
% 0.82/1.19 )
% 0.82/1.19 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.82/1.19 , ~( 'is_a_theorem'( X ) ) ] )
% 0.82/1.19 , 2, clause( 410, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 0.82/1.19 , implies( T, implies( Y, Z ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), Z ),
% 0.82/1.19 implies( T, implies( Y, Z ) ) ) ), :=( Y, U )] ), substitution( 1, [ :=(
% 0.82/1.19 X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 412, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 implies( implies( X, Y ), Z ), implies( T, implies( Y, Z ) ) ), U ) ) ) ]
% 0.82/1.19 )
% 0.82/1.19 , clause( 1920, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 0.82/1.19 , Y ), Z ), implies( T, implies( Y, Z ) ) ), U ) ) ), 'is_a_theorem'( U )
% 0.82/1.19 ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.82/1.19 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1921, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 0.82/1.19 implies( Z, T ), Z ), Z ) ) ) ) ] )
% 0.82/1.19 , clause( 370, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 X, implies( Y, implies( Z, Z ) ) ), T ) ) ) ] )
% 0.82/1.19 , 1, clause( 401, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.82/1.19 implies( implies( implies( T, U ), T ), T ) ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, V0 ), :=( T, implies(
% 0.82/1.19 X, implies( Y, implies( implies( implies( Z, T ), Z ), Z ) ) ) )] ),
% 0.82/1.19 substitution( 1, [ :=( X, implies( U, implies( W, implies( V0, V0 ) ) ) )
% 0.82/1.19 , :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=( U, T )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 423, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 0.82/1.19 implies( Z, T ), Z ), Z ) ) ) ) ] )
% 0.82/1.19 , clause( 1921, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 0.82/1.19 implies( Z, T ), Z ), Z ) ) ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.82/1.19 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1922, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 0.82/1.19 ), Y ), Y ) ) ) ] )
% 0.82/1.19 , clause( 370, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 X, implies( Y, implies( Z, Z ) ) ), T ) ) ) ] )
% 0.82/1.19 , 1, clause( 423, [ 'is_a_theorem'( implies( X, implies( Y, implies(
% 0.82/1.19 implies( implies( Z, T ), Z ), Z ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, W ), :=( T, implies(
% 0.82/1.19 X, implies( implies( implies( Y, Z ), Y ), Y ) ) )] ), substitution( 1, [
% 0.82/1.19 :=( X, implies( T, implies( U, implies( W, W ) ) ) ), :=( Y, X ), :=( Z
% 0.82/1.19 , Y ), :=( T, Z )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 425, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 0.82/1.19 ), Y ), Y ) ) ) ] )
% 0.82/1.19 , clause( 1922, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 0.82/1.19 , Z ), Y ), Y ) ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.82/1.19 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1923, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ), X )
% 0.82/1.19 ) ] )
% 0.82/1.19 , clause( 370, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 X, implies( Y, implies( Z, Z ) ) ), T ) ) ) ] )
% 0.82/1.19 , 1, clause( 425, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.82/1.19 Y, Z ), Y ), Y ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, implies(
% 0.82/1.19 implies( implies( X, Y ), X ), X ) )] ), substitution( 1, [ :=( X,
% 0.82/1.19 implies( Z, implies( T, implies( U, U ) ) ) ), :=( Y, X ), :=( Z, Y )] )
% 0.82/1.19 ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 427, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ), X )
% 0.82/1.19 ) ] )
% 0.82/1.19 , clause( 1923, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ), X
% 0.82/1.19 ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.82/1.19 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1925, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 0.82/1.19 implies( Y, Z ), Y ), Y ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.82/1.19 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.82/1.19 , ~( 'is_a_theorem'( X ) ) ] )
% 0.82/1.19 , 2, clause( 425, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.82/1.19 Y, Z ), Y ), Y ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( implies( Y, Z
% 0.82/1.19 ), Y ), Y ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y
% 0.82/1.19 ), :=( Z, Z )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 428, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.82/1.19 , implies( implies( implies( Y, Z ), Y ), Y ) ), T ) ) ) ] )
% 0.82/1.19 , clause( 1925, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 0.82/1.19 implies( Y, Z ), Y ), Y ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.82/1.19 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1926, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.82/1.19 implies( implies( implies( X, T ), X ), Y ) ) ) ) ] )
% 0.82/1.19 , clause( 428, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 X, implies( implies( implies( Y, Z ), Y ), Y ) ), T ) ) ) ] )
% 0.82/1.19 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.82/1.19 implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X )
% 0.82/1.19 ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, implies( Y, U ) ), :=( Y, X ), :=( Z, T ),
% 0.82/1.19 :=( T, implies( implies( X, Y ), implies( Z, implies( implies( implies( X
% 0.82/1.19 , T ), X ), Y ) ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, U ), :=(
% 0.82/1.19 Z, implies( implies( X, T ), X ) ), :=( T, X ), :=( U, Z )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 449, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.82/1.19 implies( implies( implies( X, T ), X ), Y ) ) ) ) ] )
% 0.82/1.19 , clause( 1926, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.82/1.19 implies( implies( implies( X, T ), X ), Y ) ) ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.82/1.19 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1927, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 0.82/1.19 ), Y ), implies( T, Y ) ) ) ) ] )
% 0.82/1.19 , clause( 389, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 X, implies( Y, X ) ), Z ) ) ) ] )
% 0.82/1.19 , 1, clause( 449, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.82/1.19 implies( implies( implies( X, T ), X ), Y ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, Y ), :=( Y, T ), :=( Z, implies( X, implies(
% 0.82/1.19 implies( implies( Y, Z ), Y ), implies( T, Y ) ) ) )] ), substitution( 1
% 0.82/1.19 , [ :=( X, Y ), :=( Y, implies( T, Y ) ), :=( Z, X ), :=( T, Z )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 451, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 0.82/1.19 ), Y ), implies( T, Y ) ) ) ) ] )
% 0.82/1.19 , clause( 1927, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 0.82/1.19 , Z ), Y ), implies( T, Y ) ) ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.82/1.19 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1928, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.82/1.19 implies( Z, X ) ) ) ] )
% 0.82/1.19 , clause( 428, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 X, implies( implies( implies( Y, Z ), Y ), Y ) ), T ) ) ) ] )
% 0.82/1.19 , 1, clause( 451, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.82/1.19 Y, Z ), Y ), implies( T, Y ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, W ), :=( T, implies(
% 0.82/1.19 implies( implies( X, Y ), X ), implies( Z, X ) ) )] ), substitution( 1, [
% 0.82/1.19 :=( X, implies( T, implies( implies( implies( U, W ), U ), U ) ) ), :=(
% 0.82/1.19 Y, X ), :=( Z, Y ), :=( T, Z )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 464, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.82/1.19 implies( Z, X ) ) ) ] )
% 0.82/1.19 , clause( 1928, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.82/1.19 implies( Z, X ) ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.82/1.19 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1930, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.82/1.19 ), X ), implies( Z, X ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.82/1.19 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.82/1.19 , ~( 'is_a_theorem'( X ) ) ] )
% 0.82/1.19 , 2, clause( 464, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X )
% 0.82/1.19 , implies( Z, X ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), X ),
% 0.82/1.19 implies( Z, X ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.82/1.19 , Y ), :=( Z, Z )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 466, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 implies( implies( X, Y ), X ), implies( Z, X ) ), T ) ) ) ] )
% 0.82/1.19 , clause( 1930, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 0.82/1.19 , Y ), X ), implies( Z, X ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.82/1.19 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1931, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) ),
% 0.82/1.19 implies( Z, implies( T, implies( X, Y ) ) ) ) ) ] )
% 0.82/1.19 , clause( 466, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 implies( implies( X, Y ), X ), implies( Z, X ) ), T ) ) ) ] )
% 0.82/1.19 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.82/1.19 implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X )
% 0.82/1.19 ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, implies(
% 0.82/1.19 implies( X, implies( X, Y ) ), implies( Z, implies( T, implies( X, Y ) )
% 0.82/1.19 ) ) )] ), substitution( 1, [ :=( X, implies( X, Y ) ), :=( Y, X ), :=( Z
% 0.82/1.19 , T ), :=( T, X ), :=( U, Z )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 477, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) ),
% 0.82/1.19 implies( Z, implies( T, implies( X, Y ) ) ) ) ) ] )
% 0.82/1.19 , clause( 1931, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) ),
% 0.82/1.19 implies( Z, implies( T, implies( X, Y ) ) ) ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.82/1.19 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1932, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.82/1.19 Y, Z ), implies( T, implies( X, Z ) ) ) ) ) ] )
% 0.82/1.19 , clause( 466, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 implies( implies( X, Y ), X ), implies( Z, X ) ), T ) ) ) ] )
% 0.82/1.19 , 1, clause( 411, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.82/1.19 implies( implies( Z, T ), implies( U, implies( Y, T ) ) ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, V0 ), :=( T, implies(
% 0.82/1.19 implies( X, Y ), implies( implies( Y, Z ), implies( T, implies( X, Z ) )
% 0.82/1.19 ) ) )] ), substitution( 1, [ :=( X, implies( implies( implies( U, W ), U
% 0.82/1.19 ), implies( V0, U ) ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=( U, T )] )
% 0.82/1.19 ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 513, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.82/1.19 Y, Z ), implies( T, implies( X, Z ) ) ) ) ) ] )
% 0.82/1.19 , clause( 1932, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.82/1.19 implies( Y, Z ), implies( T, implies( X, Z ) ) ) ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.82/1.19 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1933, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 0.82/1.19 implies( Z, T ), U ), implies( T, U ) ) ) ) ) ] )
% 0.82/1.19 , clause( 412, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 implies( implies( X, Y ), Z ), implies( T, implies( Y, Z ) ) ), U ) ) ) ]
% 0.82/1.19 )
% 0.82/1.19 , 1, clause( 477, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) )
% 0.82/1.19 , implies( Z, implies( T, implies( X, Y ) ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, implies(
% 0.82/1.19 implies( Z, T ), U ) ), :=( U, implies( X, implies( Y, implies( implies(
% 0.82/1.19 implies( Z, T ), U ), implies( T, U ) ) ) ) )] ), substitution( 1, [ :=(
% 0.82/1.19 X, implies( implies( Z, T ), U ) ), :=( Y, implies( T, U ) ), :=( Z, X )
% 0.82/1.19 , :=( T, Y )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 577, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 0.82/1.19 implies( Z, T ), U ), implies( T, U ) ) ) ) ) ] )
% 0.82/1.19 , clause( 1933, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 0.82/1.19 implies( Z, T ), U ), implies( T, U ) ) ) ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.82/1.19 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1934, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 0.82/1.19 ), T ), implies( Z, T ) ) ) ) ] )
% 0.82/1.19 , clause( 412, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 implies( implies( X, Y ), Z ), implies( T, implies( Y, Z ) ) ), U ) ) ) ]
% 0.82/1.19 )
% 0.82/1.19 , 1, clause( 577, [ 'is_a_theorem'( implies( X, implies( Y, implies(
% 0.82/1.19 implies( implies( Z, T ), U ), implies( T, U ) ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, V0 ), :=( T, V1 ),
% 0.82/1.19 :=( U, implies( X, implies( implies( implies( Y, Z ), T ), implies( Z, T
% 0.82/1.19 ) ) ) )] ), substitution( 1, [ :=( X, implies( implies( implies( U, W )
% 0.82/1.19 , V0 ), implies( V1, implies( W, V0 ) ) ) ), :=( Y, X ), :=( Z, Y ), :=(
% 0.82/1.19 T, Z ), :=( U, T )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 588, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 0.82/1.19 ), T ), implies( Z, T ) ) ) ) ] )
% 0.82/1.19 , clause( 1934, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 0.82/1.19 , Z ), T ), implies( Z, T ) ) ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.82/1.19 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1935, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.82/1.19 implies( Y, Z ) ) ) ] )
% 0.82/1.19 , clause( 412, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 implies( implies( X, Y ), Z ), implies( T, implies( Y, Z ) ) ), U ) ) ) ]
% 0.82/1.19 )
% 0.82/1.19 , 1, clause( 588, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.82/1.19 Y, Z ), T ), implies( Z, T ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, W ), :=( T, V0 ),
% 0.82/1.19 :=( U, implies( implies( implies( X, Y ), Z ), implies( Y, Z ) ) )] ),
% 0.82/1.19 substitution( 1, [ :=( X, implies( implies( implies( T, U ), W ), implies(
% 0.82/1.19 V0, implies( U, W ) ) ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 590, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.82/1.19 implies( Y, Z ) ) ) ] )
% 0.82/1.19 , clause( 1935, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.82/1.19 implies( Y, Z ) ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.82/1.19 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1937, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.82/1.19 ), Z ), implies( Y, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.82/1.19 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.82/1.19 , ~( 'is_a_theorem'( X ) ) ] )
% 0.82/1.19 , 2, clause( 590, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 0.82/1.19 , implies( Y, Z ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), Z ),
% 0.82/1.19 implies( Y, Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.82/1.19 , Y ), :=( Z, Z )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 592, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 implies( implies( X, Y ), Z ), implies( Y, Z ) ), T ) ) ) ] )
% 0.82/1.19 , clause( 1937, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 0.82/1.19 , Y ), Z ), implies( Y, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.82/1.19 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1938, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.82/1.19 implies( T, implies( implies( implies( U, X ), Y ), Z ) ) ) ) ] )
% 0.82/1.19 , clause( 592, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 implies( implies( X, Y ), Z ), implies( Y, Z ) ), T ) ) ) ] )
% 0.82/1.19 , 1, clause( 513, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.82/1.19 implies( Y, Z ), implies( T, implies( X, Z ) ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, U ), :=( Y, X ), :=( Z, Y ), :=( T, implies(
% 0.82/1.19 implies( implies( X, Y ), Z ), implies( T, implies( implies( implies( U,
% 0.82/1.19 X ), Y ), Z ) ) ) )] ), substitution( 1, [ :=( X, implies( implies( U, X
% 0.82/1.19 ), Y ) ), :=( Y, implies( X, Y ) ), :=( Z, Z ), :=( T, T )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 594, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.82/1.19 implies( T, implies( implies( implies( U, X ), Y ), Z ) ) ) ) ] )
% 0.82/1.19 , clause( 1938, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.82/1.19 implies( T, implies( implies( implies( U, X ), Y ), Z ) ) ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.82/1.19 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1939, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y,
% 0.82/1.19 implies( Z, T ) ), Z ), implies( U, Z ) ) ) ) ] )
% 0.82/1.19 , clause( 466, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 implies( implies( X, Y ), X ), implies( Z, X ) ), T ) ) ) ] )
% 0.82/1.19 , 1, clause( 594, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 0.82/1.19 , implies( T, implies( implies( implies( U, X ), Y ), Z ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, implies(
% 0.82/1.19 X, implies( implies( implies( Y, implies( Z, T ) ), Z ), implies( U, Z )
% 0.82/1.19 ) ) )] ), substitution( 1, [ :=( X, implies( Z, T ) ), :=( Y, Z ), :=( Z
% 0.82/1.19 , implies( U, Z ) ), :=( T, X ), :=( U, Y )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 607, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y,
% 0.82/1.19 implies( Z, T ) ), Z ), implies( U, Z ) ) ) ) ] )
% 0.82/1.19 , clause( 1939, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 0.82/1.19 , implies( Z, T ) ), Z ), implies( U, Z ) ) ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.82/1.19 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1940, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X,
% 0.82/1.19 implies( Z, Y ) ) ) ) ] )
% 0.82/1.19 , clause( 61, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 implies( implies( implies( X, Y ), implies( Z, implies( T, Y ) ) ), U ),
% 0.82/1.19 implies( W, implies( X, U ) ) ), V0 ) ) ) ] )
% 0.82/1.19 , 1, clause( 427, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X )
% 0.82/1.19 , X ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, X ), :=( T, Z ),
% 0.82/1.19 :=( U, implies( Z, Y ) ), :=( W, implies( X, Y ) ), :=( V0, implies(
% 0.82/1.19 implies( X, Y ), implies( X, implies( Z, Y ) ) ) )] ), substitution( 1, [
% 0.82/1.19 :=( X, implies( implies( X, Y ), implies( X, implies( Z, Y ) ) ) ), :=(
% 0.82/1.19 Y, implies( Z, Y ) )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 629, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X,
% 0.82/1.19 implies( Z, Y ) ) ) ) ] )
% 0.82/1.19 , clause( 1940, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X,
% 0.82/1.19 implies( Z, Y ) ) ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.82/1.19 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1942, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.82/1.19 implies( X, implies( Z, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.82/1.19 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.82/1.19 , ~( 'is_a_theorem'( X ) ) ] )
% 0.82/1.19 , 2, clause( 629, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X,
% 0.82/1.19 implies( Z, Y ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( X,
% 0.82/1.19 implies( Z, Y ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=(
% 0.82/1.19 Y, Y ), :=( Z, Z )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 652, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 implies( X, Y ), implies( X, implies( Z, Y ) ) ), T ) ) ) ] )
% 0.82/1.19 , clause( 1942, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.82/1.19 implies( X, implies( Z, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.82/1.19 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1943, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 0.82/1.19 ) ), Y ), implies( T, Y ) ) ) ] )
% 0.82/1.19 , clause( 61, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 implies( implies( implies( X, Y ), implies( Z, implies( T, Y ) ) ), U ),
% 0.82/1.19 implies( W, implies( X, U ) ) ), V0 ) ) ) ] )
% 0.82/1.19 , 1, clause( 607, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.82/1.19 Y, implies( Z, T ) ), Z ), implies( U, Z ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, V0 ), :=( T, V1 ),
% 0.82/1.19 :=( U, V2 ), :=( W, V3 ), :=( V0, implies( implies( implies( X, implies(
% 0.82/1.19 Y, Z ) ), Y ), implies( T, Y ) ) )] ), substitution( 1, [ :=( X, implies(
% 0.82/1.19 implies( implies( implies( U, W ), implies( V0, implies( V1, W ) ) ), V2
% 0.82/1.19 ), implies( V3, implies( U, V2 ) ) ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z
% 0.82/1.19 ), :=( U, T )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 661, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 0.82/1.19 ) ), Y ), implies( T, Y ) ) ) ] )
% 0.82/1.19 , clause( 1943, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 0.82/1.19 , Z ) ), Y ), implies( T, Y ) ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.82/1.19 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1945, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.82/1.19 implies( Y, Z ) ), Y ), implies( T, Y ) ), U ) ) ), 'is_a_theorem'( U ) ]
% 0.82/1.19 )
% 0.82/1.19 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.82/1.19 , ~( 'is_a_theorem'( X ) ) ] )
% 0.82/1.19 , 2, clause( 661, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.82/1.19 Y, Z ) ), Y ), implies( T, Y ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, implies( Y, Z
% 0.82/1.19 ) ), Y ), implies( T, Y ) ) ), :=( Y, U )] ), substitution( 1, [ :=( X,
% 0.82/1.19 X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 663, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 implies( implies( X, implies( Y, Z ) ), Y ), implies( T, Y ) ), U ) ) ) ]
% 0.82/1.19 )
% 0.82/1.19 , clause( 1945, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 0.82/1.19 , implies( Y, Z ) ), Y ), implies( T, Y ) ), U ) ) ), 'is_a_theorem'( U )
% 0.82/1.19 ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.82/1.19 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1946, [ 'is_a_theorem'( implies( implies( X, implies( Y, implies( X
% 0.82/1.19 , Z ) ) ), implies( T, implies( U, implies( Y, implies( X, Z ) ) ) ) ) )
% 0.82/1.19 ] )
% 0.82/1.19 , clause( 663, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 implies( implies( X, implies( Y, Z ) ), Y ), implies( T, Y ) ), U ) ) ) ]
% 0.82/1.19 )
% 0.82/1.19 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.82/1.19 implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X )
% 0.82/1.19 ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, U ),
% 0.82/1.19 :=( U, implies( implies( X, implies( Y, implies( X, Z ) ) ), implies( T,
% 0.82/1.19 implies( U, implies( Y, implies( X, Z ) ) ) ) ) )] ), substitution( 1, [
% 0.82/1.19 :=( X, implies( Y, implies( X, Z ) ) ), :=( Y, X ), :=( Z, U ), :=( T, X
% 0.82/1.19 ), :=( U, T )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 1295, [ 'is_a_theorem'( implies( implies( X, implies( Y, implies( X
% 0.82/1.19 , Z ) ) ), implies( T, implies( U, implies( Y, implies( X, Z ) ) ) ) ) )
% 0.82/1.19 ] )
% 0.82/1.19 , clause( 1946, [ 'is_a_theorem'( implies( implies( X, implies( Y, implies(
% 0.82/1.19 X, Z ) ) ), implies( T, implies( U, implies( Y, implies( X, Z ) ) ) ) ) )
% 0.82/1.19 ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.82/1.19 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1947, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.82/1.19 implies( Z, T ), T ) ) ) ) ) ] )
% 0.82/1.19 , clause( 652, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 implies( X, Y ), implies( X, implies( Z, Y ) ) ), T ) ) ) ] )
% 0.82/1.19 , 1, clause( 1295, [ 'is_a_theorem'( implies( implies( X, implies( Y,
% 0.82/1.19 implies( X, Z ) ) ), implies( T, implies( U, implies( Y, implies( X, Z )
% 0.82/1.19 ) ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, implies( Z, T ) ),
% 0.82/1.19 :=( T, implies( X, implies( Y, implies( Z, implies( implies( Z, T ), T )
% 0.82/1.19 ) ) ) )] ), substitution( 1, [ :=( X, implies( Z, T ) ), :=( Y, Z ),
% 0.82/1.19 :=( Z, T ), :=( T, X ), :=( U, Y )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 1767, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.82/1.19 implies( Z, T ), T ) ) ) ) ) ] )
% 0.82/1.19 , clause( 1947, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.82/1.19 implies( implies( Z, T ), T ) ) ) ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.82/1.19 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1948, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Y
% 0.82/1.19 , Z ), Z ) ) ) ) ] )
% 0.82/1.19 , clause( 149, [ 'is_a_theorem'( V1 ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 X, implies( Y, implies( Z, implies( T, implies( U, implies( W, implies(
% 0.82/1.19 V0, Y ) ) ) ) ) ) ), V1 ) ) ) ] )
% 0.82/1.19 , 1, clause( 1767, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.82/1.19 implies( implies( Z, T ), T ) ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, W ), :=( T, V0 ),
% 0.82/1.19 :=( U, V1 ), :=( W, V2 ), :=( V0, V3 ), :=( V1, implies( X, implies( Y,
% 0.82/1.19 implies( implies( Y, Z ), Z ) ) ) )] ), substitution( 1, [ :=( X, implies(
% 0.82/1.19 T, implies( U, implies( W, implies( V0, implies( V1, implies( V2, implies(
% 0.82/1.19 V3, U ) ) ) ) ) ) ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 1772, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Y
% 0.82/1.19 , Z ), Z ) ) ) ) ] )
% 0.82/1.19 , clause( 1948, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 0.82/1.19 Y, Z ), Z ) ) ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.82/1.19 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1949, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y ) )
% 0.82/1.19 ) ] )
% 0.82/1.19 , clause( 149, [ 'is_a_theorem'( V1 ), ~( 'is_a_theorem'( implies( implies(
% 0.82/1.19 X, implies( Y, implies( Z, implies( T, implies( U, implies( W, implies(
% 0.82/1.19 V0, Y ) ) ) ) ) ) ), V1 ) ) ) ] )
% 0.82/1.19 , 1, clause( 1772, [ 'is_a_theorem'( implies( X, implies( Y, implies(
% 0.82/1.19 implies( Y, Z ), Z ) ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, W ),
% 0.82/1.19 :=( U, V0 ), :=( W, V1 ), :=( V0, V2 ), :=( V1, implies( X, implies(
% 0.82/1.19 implies( X, Y ), Y ) ) )] ), substitution( 1, [ :=( X, implies( Z,
% 0.82/1.19 implies( T, implies( U, implies( W, implies( V0, implies( V1, implies( V2
% 0.82/1.19 , T ) ) ) ) ) ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 1774, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y ) )
% 0.82/1.19 ) ] )
% 0.82/1.19 , clause( 1949, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y )
% 0.82/1.19 ) ) ] )
% 0.82/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.82/1.19 )] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 resolution(
% 0.82/1.19 clause( 1950, [] )
% 0.82/1.19 , clause( 2, [ ~( 'is_a_theorem'( implies( a, implies( implies( a, b ), b )
% 0.82/1.19 ) ) ) ] )
% 0.82/1.19 , 0, clause( 1774, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ),
% 0.82/1.19 Y ) ) ) ] )
% 0.82/1.19 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b )] )
% 0.82/1.19 ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 subsumption(
% 0.82/1.19 clause( 1837, [] )
% 0.82/1.19 , clause( 1950, [] )
% 0.82/1.19 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 end.
% 0.82/1.19
% 0.82/1.19 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.82/1.19
% 0.82/1.19 Memory use:
% 0.82/1.19
% 0.82/1.19 space for terms: 39303
% 0.82/1.19 space for clauses: 190816
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 clauses generated: 21102
% 0.82/1.19 clauses kept: 1838
% 0.82/1.19 clauses selected: 411
% 0.82/1.19 clauses deleted: 105
% 0.82/1.19 clauses inuse deleted: 32
% 0.82/1.19
% 0.82/1.19 subsentry: 19862
% 0.82/1.19 literals s-matched: 19370
% 0.82/1.19 literals matched: 19370
% 0.82/1.19 full subsumption: 0
% 0.82/1.19
% 0.82/1.19 checksum: 428127478
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 Bliksem ended
%------------------------------------------------------------------------------